%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO545^1 : TPTP v9.2.1. Released v5.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n028.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 09:13:06 AM UTC 2026 % Result : Theorem 0.63s 0.87s % Output : Proof 0.63s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYO545^1 : TPTP v9.2.1. Released v5.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.34 % Computer : n028.cluster.edu % 0.18/0.34 % Model : x86_64 x86_64 % 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.34 % Memory : 8042.1875MB % 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.34 % CPULimit : 300 % 0.18/0.34 % WCLimit : 300 % 0.18/0.34 % DateTime : Wed Jun 3 00:20:20 EDT 2026 % 0.18/0.35 % CPUTime : % 0.29/0.50 %----Proving TH0 % 0.63/0.87 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.63/0.87 % SZS status Theorem % 0.63/0.87 % SZS output start Proof % 0.63/0.87 ( % 0.63/0.87 (declare-sort $$unsorted 0) % 0.63/0.87 (declare-const tptp.eps (-> (-> $$unsorted Bool) $$unsorted)) % 0.63/0.87 (declare-const tptp.f (-> Bool Bool)) % 0.63/0.87 (define tptp.case () (let ((_let_1 (@var "V" $$unsorted))) (let ((_let_2 (@var "Z" $$unsorted))) (let ((_let_3 (@var "A" Bool))) (let ((_let_4 (@list _let_3))) (let ((_let_5 (@var "B" (-> Bool Bool)))) (let ((_let_6 (@var "U" $$unsorted))) (let ((_let_7 (@var "Y" $$unsorted))) (let ((_let_8 (@var "_lvar_0" Bool))) (let ((_let_9 (@var "X" $$unsorted))) (lambda (@list _let_5 _let_9 _let_7 _let_6 _let_1) (_ tptp.eps (lambda (@list _let_2) (or (and (= _let_5 (lambda _let_4 false)) (= _let_2 _let_9)) (and (= _let_5 (lambda (@list _let_8) (not _let_8))) (= _let_2 _let_7)) (and (= _let_5 (lambda _let_4 _let_3)) (= _let_2 _let_6)) (and (= _let_5 (lambda _let_4 true)) (= _let_2 _let_1)))))))))))))))) % 0.63/0.87 (define @t1 () (@var "P" (-> $$unsorted Bool))) % 0.63/0.87 (define @t2 () (_ tptp.eps @t1)) % 0.63/0.87 (define @t3 () (_ @t1 @t2)) % 0.63/0.87 (define @t4 () (@var "X" $$unsorted)) % 0.63/0.87 (define @t5 () (_ @t1 @t4)) % 0.63/0.87 (define @t6 () (@list @t4)) % 0.63/0.87 (define @t7 () (exists @t6 @t5)) % 0.63/0.87 (define @t8 () (=> @t7 @t3)) % 0.63/0.87 (define @t9 () (@list @t1)) % 0.63/0.87 (define @t10 () (forall @t9 @t8)) % 0.63/0.87 (define @t11 () (@var "V" $$unsorted)) % 0.63/0.87 (define @t12 () (@var "U" $$unsorted)) % 0.63/0.87 (define @t13 () (@var "Y" $$unsorted)) % 0.63/0.87 (define @t14 () (_ (_ (_ (_ (_ tptp.case tptp.f) @t4) @t13) @t12) @t11)) % 0.63/0.87 (define @t15 () (= @t14 @t11)) % 0.63/0.87 (define @t16 () (= @t14 @t12)) % 0.63/0.87 (define @t17 () (= @t14 @t13)) % 0.63/0.87 (define @t18 () (= @t14 @t4)) % 0.63/0.87 (define @t19 () (or @t18 @t17 @t16 @t15)) % 0.63/0.87 (define @t20 () (@list @t4 @t13 @t12 @t11)) % 0.63/0.87 (define @t21 () (forall @t20 @t19)) % 0.63/0.87 (define @t22 () (not @t21)) % 0.63/0.87 (define @t23 () (@var "Z" $$unsorted)) % 0.63/0.87 (define @t24 () (@var "A" Bool)) % 0.63/0.87 (define @t25 () (@list @t24)) % 0.63/0.87 (define @t26 () (lambda @t25 true)) % 0.63/0.87 (define @t27 () (@var "B" (-> Bool Bool))) % 0.63/0.87 (define @t28 () (= @t27 @t26)) % 0.63/0.87 (define @t29 () (and @t28 (= @t23 @t11))) % 0.63/0.87 (define @t30 () (lambda @t25 @t24)) % 0.63/0.87 (define @t31 () (= @t27 @t30)) % 0.63/0.87 (define @t32 () (and @t31 (= @t23 @t12))) % 0.63/0.87 (define @t33 () (@var "_lvar_0" Bool)) % 0.63/0.87 (define @t34 () (lambda (@list @t33) (not @t33))) % 0.63/0.87 (define @t35 () (= @t27 @t34)) % 0.63/0.87 (define @t36 () (and @t35 (= @t23 @t13))) % 0.63/0.87 (define @t37 () (lambda @t25 false)) % 0.63/0.87 (define @t38 () (= @t27 @t37)) % 0.63/0.87 (define @t39 () (and @t38 (= @t23 @t4))) % 0.63/0.87 (define @t40 () (or @t39 @t36 @t32 @t29)) % 0.63/0.87 (define @t41 () (@list @t23)) % 0.63/0.87 (define @t42 () (lambda @t41 @t40)) % 0.63/0.87 (define @t43 () (@list @t27 @t4 @t13 @t12 @t11)) % 0.63/0.87 (define @t44 () (lambda @t43 (_ tptp.eps @t42))) % 0.63/0.87 (define @t45 () (@var "BOUND_VARIABLE_7733" Bool)) % 0.63/0.87 (define @t46 () (@list @t45)) % 0.63/0.87 (define @t47 () (lambda @t46 true)) % 0.63/0.87 (define @t48 () (@purify @t47)) % 0.63/0.87 (define @t49 () (= tptp.f @t48)) % 0.63/0.87 (define @t50 () (= @t47 tptp.f)) % 0.63/0.87 (define @t51 () (@purify @t50)) % 0.63/0.87 (define @t52 () (@var "BOUND_VARIABLE_7803" Bool)) % 0.63/0.87 (define @t53 () (lambda (@list @t52) false)) % 0.63/0.87 (define @t54 () (@purify @t53)) % 0.63/0.87 (define @t55 () (= @t48 @t54)) % 0.63/0.87 (define @t56 () (= true false)) % 0.63/0.87 (define @t57 () (forall @t46 @t56)) % 0.63/0.87 (define @t58 () (= @t47 @t53)) % 0.63/0.87 (define @t59 () (not @t58)) % 0.63/0.87 (define @t60 () (not @t55)) % 0.63/0.87 (define @t61 () (= tptp.f @t54)) % 0.63/0.87 (define @t62 () (not @t61)) % 0.63/0.87 (define @t63 () (not @t49)) % 0.63/0.87 (define @t64 () (and @t49 @t60)) % 0.63/0.87 (define @t65 () (@var "BOUND_VARIABLE_7755" Bool)) % 0.63/0.87 (define @t66 () (= @t65 false)) % 0.63/0.87 (define @t67 () (ite @t66 false true)) % 0.63/0.87 (define @t68 () (@list @t65)) % 0.63/0.87 (define @t69 () (lambda @t68 @t67)) % 0.63/0.87 (define @t70 () (@purify @t69)) % 0.63/0.87 (define @t71 () (= @t48 @t70)) % 0.63/0.87 (define @t72 () (not @t45)) % 0.63/0.87 (define @t73 () (or @t45 @t45)) % 0.63/0.87 (define @t74 () (forall @t46 (= true @t45))) % 0.63/0.87 (define @t75 () (= @t47 @t69)) % 0.63/0.87 (define @t76 () (not @t75)) % 0.63/0.87 (define @t77 () (= false @t65)) % 0.63/0.87 (define @t78 () (not true)) % 0.63/0.87 (define @t79 () (not @t66)) % 0.63/0.87 (define @t80 () (not @t71)) % 0.63/0.87 (define @t81 () (= tptp.f @t70)) % 0.63/0.87 (define @t82 () (not @t81)) % 0.63/0.87 (define @t83 () (and @t49 @t80)) % 0.63/0.87 (define @t84 () (@var "BOUND_VARIABLE_7779" Bool)) % 0.63/0.87 (define @t85 () (= @t84 true)) % 0.63/0.87 (define @t86 () (ite @t85 false true)) % 0.63/0.87 (define @t87 () (@list @t84)) % 0.63/0.87 (define @t88 () (lambda @t87 @t86)) % 0.63/0.87 (define @t89 () (@purify @t88)) % 0.63/0.87 (define @t90 () (= @t48 @t89)) % 0.63/0.87 (define @t91 () (or @t72 @t72)) % 0.63/0.87 (define @t92 () (forall @t46 (= true @t72))) % 0.63/0.87 (define @t93 () (= @t47 @t88)) % 0.63/0.87 (define @t94 () (not @t93)) % 0.63/0.87 (define @t95 () (not @t85)) % 0.63/0.87 (define @t96 () (not @t84)) % 0.63/0.87 (define @t97 () (not @t90)) % 0.63/0.87 (define @t98 () (= tptp.f @t89)) % 0.63/0.87 (define @t99 () (not @t98)) % 0.63/0.87 (define @t100 () (and @t49 @t97)) % 0.63/0.87 (define @t101 () (= @t53 tptp.f)) % 0.63/0.87 (define @t102 () (@purify @t101)) % 0.63/0.87 (define @t103 () (not @t102)) % 0.63/0.87 (define @t104 () (= @t69 tptp.f)) % 0.63/0.87 (define @t105 () (@purify @t104)) % 0.63/0.87 (define @t106 () (not @t105)) % 0.63/0.87 (define @t107 () (= @t88 tptp.f)) % 0.63/0.87 (define @t108 () (@purify @t107)) % 0.63/0.87 (define @t109 () (not @t108)) % 0.63/0.87 (define @t110 () (@const 0 $$unsorted)) % 0.63/0.87 (define @t111 () (= @t11 @t23)) % 0.63/0.87 (define @t112 () (and @t50 @t111)) % 0.63/0.87 (define @t113 () (= @t12 @t23)) % 0.63/0.87 (define @t114 () (and @t104 @t113)) % 0.63/0.87 (define @t115 () (= @t13 @t23)) % 0.63/0.87 (define @t116 () (and @t107 @t115)) % 0.63/0.87 (define @t117 () (= @t4 @t23)) % 0.63/0.87 (define @t118 () (and @t101 @t117)) % 0.63/0.87 (define @t119 () (or @t118 @t116 @t114 @t112)) % 0.63/0.87 (define @t120 () (lambda @t41 @t119)) % 0.63/0.87 (define @t121 () (tptp.eps @t120)) % 0.63/0.87 (define @t122 () (forall @t20 (or (= @t4 @t121) (= @t13 @t121) (= @t12 @t121) (= @t11 @t121)))) % 0.63/0.87 (define @t123 () (@quantifiers_skolemize @t122 0)) % 0.63/0.87 (define @t124 () (= @t123 @t110)) % 0.63/0.87 (define @t125 () (and @t102 @t124)) % 0.63/0.87 (define @t126 () (@quantifiers_skolemize @t122 2)) % 0.63/0.87 (define @t127 () (= @t126 @t110)) % 0.63/0.87 (define @t128 () (and @t105 @t127)) % 0.63/0.87 (define @t129 () (@quantifiers_skolemize @t122 1)) % 0.63/0.87 (define @t130 () (= @t129 @t110)) % 0.63/0.87 (define @t131 () (and @t108 @t130)) % 0.63/0.87 (define @t132 () (@quantifiers_skolemize @t122 3)) % 0.63/0.87 (define @t133 () (= @t132 @t110)) % 0.63/0.87 (define @t134 () (and @t51 @t133)) % 0.63/0.87 (define @t135 () (not @t133)) % 0.63/0.87 (define @t136 () (not @t51)) % 0.63/0.87 (define @t137 () (lambda @t41 @t119)) % 0.63/0.87 (define @t138 () (_ tptp.eps @t120)) % 0.63/0.87 (define @t139 () (= @t11 @t138)) % 0.63/0.87 (define @t140 () (= @t12 @t138)) % 0.63/0.87 (define @t141 () (= @t13 @t138)) % 0.63/0.87 (define @t142 () (= @t4 @t138)) % 0.63/0.87 (define @t143 () (or @t142 @t141 @t140 @t139)) % 0.63/0.87 (define @t144 () (lambda (@list @t11) @t138)) % 0.63/0.87 (define @t145 () (lambda (@list @t12 @t11) @t138)) % 0.63/0.87 (define @t146 () (lambda (@list @t13 @t12 @t11) @t138)) % 0.63/0.87 (define @t147 () (and (= tptp.f @t47) @t111)) % 0.63/0.87 (define @t148 () (and (= tptp.f @t69) @t113)) % 0.63/0.87 (define @t149 () (and (= tptp.f @t88) @t115)) % 0.63/0.87 (define @t150 () (and (= tptp.f @t53) @t117)) % 0.63/0.87 (define @t151 () (or @t150 @t149 @t148 @t147)) % 0.63/0.87 (define @t152 () (lambda @t41 @t151)) % 0.63/0.87 (define @t153 () (lambda @t20 (_ tptp.eps @t152))) % 0.63/0.87 (define @t154 () (_ (lambda @t43 (_ tptp.eps (lambda @t41 (or (and (= @t27 @t53) @t117) (and (= @t27 @t88) @t115) (and (= @t27 @t69) @t113) (and (= @t27 @t47) @t111))))) tptp.f)) % 0.63/0.87 (define @t155 () (_ (_ (_ (_ @t154 @t4) @t13) @t12) @t11)) % 0.63/0.87 (define @t156 () (= @t155 @t11)) % 0.63/0.87 (define @t157 () (= @t155 @t12)) % 0.63/0.87 (define @t158 () (= @t155 @t13)) % 0.63/0.87 (define @t159 () (= @t155 @t4)) % 0.63/0.87 (define @t160 () (or @t159 @t158 @t157 @t156)) % 0.63/0.87 (define @t161 () (forall @t20 @t160)) % 0.63/0.87 (define @t162 () (@list @t24)) % 0.63/0.87 (define @t163 () (= @t23 @t132)) % 0.63/0.87 (define @t164 () (and @t51 @t163)) % 0.63/0.87 (define @t165 () (= @t23 @t126)) % 0.63/0.87 (define @t166 () (and @t105 @t165)) % 0.63/0.87 (define @t167 () (= @t23 @t129)) % 0.63/0.87 (define @t168 () (and @t108 @t167)) % 0.63/0.87 (define @t169 () (= @t23 @t123)) % 0.63/0.87 (define @t170 () (and @t102 @t169)) % 0.63/0.87 (define @t171 () (or @t170 @t168 @t166 @t164)) % 0.63/0.87 (define @t172 () (lambda @t41 @t171)) % 0.63/0.87 (define @t173 () (@purify @t172)) % 0.63/0.87 (define @t174 () (tptp.eps @t173)) % 0.63/0.87 (define @t175 () (= @t132 @t174)) % 0.63/0.87 (define @t176 () (= @t126 @t174)) % 0.63/0.87 (define @t177 () (= @t129 @t174)) % 0.63/0.87 (define @t178 () (= @t123 @t174)) % 0.63/0.87 (define @t179 () (or @t178 @t177 @t176 @t175)) % 0.63/0.87 (define @t180 () (not @t179)) % 0.63/0.87 (define @t181 () (not @t122)) % 0.63/0.87 (define @t182 () (lambda @t41 (or (and @t101 @t169) (and @t107 @t167) (and @t104 @t165) (and @t50 @t163)))) % 0.63/0.87 (define @t183 () (tptp.eps @t182)) % 0.63/0.87 (define @t184 () (= @t132 @t183)) % 0.63/0.87 (define @t185 () (= @t126 @t183)) % 0.63/0.87 (define @t186 () (= @t129 @t183)) % 0.63/0.87 (define @t187 () (= @t123 @t183)) % 0.63/0.87 (define @t188 () (or @t187 @t186 @t185 @t184)) % 0.63/0.87 (define @t189 () (not @t188)) % 0.63/0.87 (define @t190 () (and @t50 (= @t132 @t23))) % 0.63/0.87 (define @t191 () (and @t104 (= @t126 @t23))) % 0.63/0.87 (define @t192 () (and @t107 (= @t129 @t23))) % 0.63/0.87 (define @t193 () (and @t101 (= @t123 @t23))) % 0.63/0.87 (define @t194 () (or @t193 @t192 @t191 @t190)) % 0.63/0.87 (define @t195 () (lambda @t41 @t194)) % 0.63/0.87 (define @t196 () (tptp.eps @t195)) % 0.63/0.87 (define @t197 () (= @t132 @t196)) % 0.63/0.87 (define @t198 () (= @t126 @t196)) % 0.63/0.87 (define @t199 () (= @t129 @t196)) % 0.63/0.87 (define @t200 () (= @t123 @t196)) % 0.63/0.87 (define @t201 () (or @t200 @t199 @t198 @t197)) % 0.63/0.87 (define @t202 () (not @t201)) % 0.63/0.87 (define @t203 () (@list true)) % 0.63/0.87 (define @t204 () (@list @t179)) % 0.63/0.87 (define @t205 () (tptp.eps @t1)) % 0.63/0.87 (define @t206 () (_ @t1 @t205)) % 0.63/0.87 (define @t207 () (@var "BOUND_VARIABLE_7525" $$unsorted)) % 0.63/0.87 (define @t208 () (not (_ @t1 @t207))) % 0.63/0.87 (define @t209 () (or @t208 @t206)) % 0.63/0.87 (define @t210 () (forall (@list @t1 @t207) @t209)) % 0.63/0.87 (define @t211 () (@list @t207)) % 0.63/0.87 (define @t212 () (forall @t211 @t209)) % 0.63/0.87 (define @t213 () (forall @t211 @t208)) % 0.63/0.87 (define @t214 () (or @t213 @t206)) % 0.63/0.87 (define @t215 () (_ @t1 @t4)) % 0.63/0.87 (define @t216 () (forall @t6 (not @t215))) % 0.63/0.87 (define @t217 () (or @t216 @t3)) % 0.63/0.87 (define @t218 () (not @t216)) % 0.63/0.87 (define @t219 () (not @t5)) % 0.63/0.87 (define @t220 () (forall @t6 @t219)) % 0.63/0.87 (define @t221 () (not @t220)) % 0.63/0.87 (define @t222 () (@var "BOUND_VARIABLE_16034" $$unsorted)) % 0.63/0.87 (define @t223 () (@list @t222)) % 0.63/0.87 (define @t224 () (lambda @t223 (= @t132 @t222))) % 0.63/0.87 (define @t225 () (@purify @t224)) % 0.63/0.87 (define @t226 () (tptp.eps @t224)) % 0.63/0.87 (define @t227 () (= @t132 @t226)) % 0.63/0.87 (define @t228 () (lambda @t223 (= @t222 @t132))) % 0.63/0.87 (define @t229 () (tptp.eps @t228)) % 0.63/0.87 (define @t230 () (_ @t228 @t229)) % 0.63/0.87 (define @t231 () (_ @t228 @t132)) % 0.63/0.87 (define @t232 () (not @t231)) % 0.63/0.87 (define @t233 () (or @t232 @t230)) % 0.63/0.87 (define @t234 () (tptp.eps @t225)) % 0.63/0.87 (define @t235 () (= @t132 @t234)) % 0.63/0.87 (define @t236 () (@list false)) % 0.63/0.87 (define @t237 () (@list @t210)) % 0.63/0.87 (define @t238 () (= @t173 @t225)) % 0.63/0.87 (define @t239 () (and @t235 @t238)) % 0.63/0.87 (define @t240 () (not @t238)) % 0.63/0.87 (define @t241 () (@list false true)) % 0.63/0.87 (define @t242 () (or @t125 @t131 @t128 @t134)) % 0.63/0.87 (define @t243 () (_ @t224 @t110)) % 0.63/0.87 (define @t244 () (_ @t225 @t110)) % 0.63/0.87 (define @t245 () (or (and @t101 @t124) (and @t107 @t130) (and @t104 @t127) (and @t50 @t133))) % 0.63/0.87 (define @t246 () (and @t50 (= @t110 @t132))) % 0.63/0.87 (define @t247 () (and @t104 (= @t110 @t126))) % 0.63/0.87 (define @t248 () (and @t107 (= @t110 @t129))) % 0.63/0.87 (define @t249 () (and @t101 (= @t110 @t123))) % 0.63/0.87 (define @t250 () (or @t249 @t248 @t247 @t246)) % 0.63/0.87 (define @t251 () (_ @t182 @t110)) % 0.63/0.87 (define @t252 () (_ @t173 @t110)) % 0.63/0.87 (define @t253 () (= @t252 @t244)) % 0.63/0.87 (define @t254 () (not @t253)) % 0.63/0.87 (define @t255 () (or @t238 @t254)) % 0.63/0.87 (define @t256 () (= @t133 @t242)) % 0.63/0.87 (define @t257 () (@list true true false)) % 0.63/0.87 (define @t258 () (@const 1 Bool)) % 0.63/0.87 (define @t259 () (@purify @t258)) % 0.63/0.87 (define @t260 () (tptp.f @t259)) % 0.63/0.87 (define @t261 () (_ @t48 @t258)) % 0.63/0.87 (define @t262 () (tptp.f @t258)) % 0.63/0.87 (define @t263 () (= @t262 @t261)) % 0.63/0.87 (define @t264 () (not @t263)) % 0.63/0.87 (define @t265 () (or @t49 @t264)) % 0.63/0.87 (define @t266 () (not @t260)) % 0.63/0.87 (define @t267 () (@list @t49)) % 0.63/0.87 (define @t268 () (= @t259 @t260)) % 0.63/0.87 (define @t269 () (not @t259)) % 0.63/0.87 (define @t270 () (=> @t81 (= @t260 @t259))) % 0.63/0.87 (define @t271 () (@const 2 Bool)) % 0.63/0.87 (define @t272 () (@purify @t271)) % 0.63/0.87 (define @t273 () (tptp.f @t272)) % 0.63/0.87 (define @t274 () (= @t271 false)) % 0.63/0.87 (define @t275 () (not @t274)) % 0.63/0.87 (define @t276 () (_ @t69 @t271)) % 0.63/0.87 (define @t277 () (_ @t70 @t272)) % 0.63/0.87 (define @t278 () (_ @t70 @t271)) % 0.63/0.87 (define @t279 () (tptp.f @t271)) % 0.63/0.87 (define @t280 () (= @t279 @t278)) % 0.63/0.87 (define @t281 () (not @t280)) % 0.63/0.87 (define @t282 () (or @t81 @t281)) % 0.63/0.87 (define @t283 () (@const 3 $$unsorted)) % 0.63/0.87 (define @t284 () (= @t126 @t283)) % 0.63/0.87 (define @t285 () (and @t105 @t284)) % 0.63/0.87 (define @t286 () (@const 4 $$unsorted)) % 0.63/0.87 (define @t287 () (= @t126 @t286)) % 0.63/0.87 (define @t288 () (and @t105 @t287)) % 0.63/0.87 (define @t289 () (not @t288)) % 0.63/0.87 (define @t290 () (= @t89 @t54)) % 0.63/0.87 (define @t291 () (or @t84 @t84)) % 0.63/0.87 (define @t292 () (forall @t87 (= @t86 false))) % 0.63/0.87 (define @t293 () (= @t88 @t53)) % 0.63/0.87 (define @t294 () (not @t293)) % 0.63/0.87 (define @t295 () (not @t290)) % 0.63/0.87 (define @t296 () (and @t98 @t295)) % 0.63/0.87 (define @t297 () (= @t123 @t283)) % 0.63/0.87 (define @t298 () (and @t102 @t297)) % 0.63/0.87 (define @t299 () (= @t129 @t283)) % 0.63/0.87 (define @t300 () (and @t108 @t299)) % 0.63/0.87 (define @t301 () (not @t299)) % 0.63/0.87 (define @t302 () (lambda @t223 (= @t129 @t222))) % 0.63/0.87 (define @t303 () (@purify @t302)) % 0.63/0.87 (define @t304 () (tptp.eps @t302)) % 0.63/0.87 (define @t305 () (= @t129 @t304)) % 0.63/0.87 (define @t306 () (lambda @t223 (= @t222 @t129))) % 0.63/0.87 (define @t307 () (tptp.eps @t306)) % 0.63/0.87 (define @t308 () (_ @t306 @t307)) % 0.63/0.87 (define @t309 () (_ @t306 @t129)) % 0.63/0.87 (define @t310 () (not @t309)) % 0.63/0.87 (define @t311 () (or @t310 @t308)) % 0.63/0.87 (define @t312 () (tptp.eps @t303)) % 0.63/0.87 (define @t313 () (= @t129 @t312)) % 0.63/0.87 (define @t314 () (= @t173 @t303)) % 0.63/0.87 (define @t315 () (and @t313 @t314)) % 0.63/0.87 (define @t316 () (not @t314)) % 0.63/0.87 (define @t317 () (= @t132 @t283)) % 0.63/0.87 (define @t318 () (and @t51 @t317)) % 0.63/0.87 (define @t319 () (or @t298 @t300 @t285 @t318)) % 0.63/0.87 (define @t320 () (_ @t302 @t283)) % 0.63/0.87 (define @t321 () (_ @t303 @t283)) % 0.63/0.87 (define @t322 () (or (and @t101 @t297) (and @t107 @t299) (and @t104 @t284) (and @t50 @t317))) % 0.63/0.87 (define @t323 () (and @t50 (= @t283 @t132))) % 0.63/0.87 (define @t324 () (and @t104 (= @t283 @t126))) % 0.63/0.87 (define @t325 () (and @t107 (= @t283 @t129))) % 0.63/0.87 (define @t326 () (and @t101 (= @t283 @t123))) % 0.63/0.87 (define @t327 () (or @t326 @t325 @t324 @t323)) % 0.63/0.87 (define @t328 () (_ @t182 @t283)) % 0.63/0.87 (define @t329 () (_ @t173 @t283)) % 0.63/0.87 (define @t330 () (= @t329 @t321)) % 0.63/0.87 (define @t331 () (not @t330)) % 0.63/0.87 (define @t332 () (or @t314 @t331)) % 0.63/0.87 (define @t333 () (= @t299 @t319)) % 0.63/0.87 (define @t334 () (not @t318)) % 0.63/0.87 (define @t335 () (@list @t51)) % 0.63/0.87 (define @t336 () (@const 5 Bool)) % 0.63/0.87 (define @t337 () (@purify @t336)) % 0.63/0.87 (define @t338 () (tptp.f @t337)) % 0.63/0.87 (define @t339 () (not @t337)) % 0.63/0.87 (define @t340 () (not @t336)) % 0.63/0.87 (define @t341 () (= @t336 true)) % 0.63/0.87 (define @t342 () (not @t341)) % 0.63/0.87 (define @t343 () (_ @t88 @t336)) % 0.63/0.87 (define @t344 () (_ @t89 @t336)) % 0.63/0.87 (define @t345 () (tptp.f @t336)) % 0.63/0.87 (define @t346 () (= @t345 @t344)) % 0.63/0.87 (define @t347 () (not @t346)) % 0.63/0.87 (define @t348 () (or @t98 @t347)) % 0.63/0.87 (define @t349 () (= @t129 @t286)) % 0.63/0.87 (define @t350 () (and @t108 @t349)) % 0.63/0.87 (define @t351 () (not @t350)) % 0.63/0.87 (define @t352 () (= @t123 @t286)) % 0.63/0.87 (define @t353 () (and @t102 @t352)) % 0.63/0.87 (define @t354 () (lambda @t223 (= @t123 @t222))) % 0.63/0.87 (define @t355 () (@purify @t354)) % 0.63/0.87 (define @t356 () (tptp.eps @t354)) % 0.63/0.87 (define @t357 () (= @t123 @t356)) % 0.63/0.87 (define @t358 () (lambda @t223 (= @t222 @t123))) % 0.63/0.87 (define @t359 () (tptp.eps @t358)) % 0.63/0.87 (define @t360 () (_ @t358 @t359)) % 0.63/0.87 (define @t361 () (_ @t358 @t123)) % 0.63/0.87 (define @t362 () (not @t361)) % 0.63/0.87 (define @t363 () (or @t362 @t360)) % 0.63/0.87 (define @t364 () (tptp.eps @t355)) % 0.63/0.87 (define @t365 () (= @t123 @t364)) % 0.63/0.87 (define @t366 () (= @t173 @t355)) % 0.63/0.87 (define @t367 () (and @t365 @t366)) % 0.63/0.87 (define @t368 () (not @t366)) % 0.63/0.87 (define @t369 () (= @t132 @t286)) % 0.63/0.87 (define @t370 () (and @t51 @t369)) % 0.63/0.87 (define @t371 () (or @t353 @t350 @t288 @t370)) % 0.63/0.87 (define @t372 () (_ @t354 @t286)) % 0.63/0.87 (define @t373 () (_ @t355 @t286)) % 0.63/0.87 (define @t374 () (or (and @t101 @t352) (and @t107 @t349) (and @t104 @t287) (and @t50 @t369))) % 0.63/0.87 (define @t375 () (and @t50 (= @t286 @t132))) % 0.63/0.87 (define @t376 () (and @t104 (= @t286 @t126))) % 0.63/0.87 (define @t377 () (and @t107 (= @t286 @t129))) % 0.63/0.87 (define @t378 () (and @t101 (= @t286 @t123))) % 0.63/0.87 (define @t379 () (or @t378 @t377 @t376 @t375)) % 0.63/0.87 (define @t380 () (_ @t182 @t286)) % 0.63/0.87 (define @t381 () (_ @t173 @t286)) % 0.63/0.87 (define @t382 () (= @t381 @t373)) % 0.63/0.87 (define @t383 () (not @t382)) % 0.63/0.87 (define @t384 () (or @t366 @t383)) % 0.63/0.87 (define @t385 () (= @t352 @t371)) % 0.63/0.87 (define @t386 () (not @t370)) % 0.63/0.87 (define @t387 () (not @t352)) % 0.63/0.87 (define @t388 () (@const 6 Bool)) % 0.63/0.87 (define @t389 () (@purify @t388)) % 0.63/0.87 (define @t390 () (tptp.f @t389)) % 0.63/0.87 (define @t391 () (_ @t53 @t388)) % 0.63/0.87 (define @t392 () (_ @t54 @t389)) % 0.63/0.87 (define @t393 () (_ @t54 @t388)) % 0.63/0.87 (define @t394 () (tptp.f @t388)) % 0.63/0.87 (define @t395 () (= @t394 @t393)) % 0.63/0.87 (define @t396 () (not @t395)) % 0.63/0.87 (define @t397 () (or @t61 @t396)) % 0.63/0.87 (define @t398 () (= @t339 @t338)) % 0.63/0.87 (define @t399 () (not @t338)) % 0.63/0.87 (define @t400 () (not @t266)) % 0.63/0.87 (define @t401 () (and @t259 @t266 @t337)) % 0.63/0.87 (define @t402 () (not @t339)) % 0.63/0.87 (define @t403 () (not @t390)) % 0.63/0.87 (define @t404 () (not @t389)) % 0.63/0.87 (define @t405 () (not @t404)) % 0.63/0.87 (define @t406 () (and @t339 @t390 @t404)) % 0.63/0.87 (define @t407 () (@list @t338)) % 0.63/0.87 (define @t408 () (= @t272 @t273)) % 0.63/0.87 (define @t409 () (not @t273)) % 0.63/0.87 (define @t410 () (not @t272)) % 0.63/0.87 (define @t411 () (and @t272 @t389 @t390)) % 0.63/0.87 (define @t412 () (not @t410)) % 0.63/0.87 (define @t413 () (and @t410 @t273 @t339)) % 0.63/0.87 (define @t414 () (= @t70 @t54)) % 0.63/0.87 (define @t415 () (not @t65)) % 0.63/0.87 (define @t416 () (or @t415 @t415)) % 0.63/0.87 (define @t417 () (forall @t68 (= @t67 false))) % 0.63/0.87 (define @t418 () (= @t69 @t53)) % 0.63/0.87 (define @t419 () (not @t418)) % 0.63/0.87 (define @t420 () (not @t414)) % 0.63/0.87 (define @t421 () (and @t81 @t420)) % 0.63/0.87 (define @t422 () (@const 7 $$unsorted)) % 0.63/0.87 (define @t423 () (= @t123 @t422)) % 0.63/0.87 (define @t424 () (and @t102 @t423)) % 0.63/0.87 (define @t425 () (= @t126 @t422)) % 0.63/0.87 (define @t426 () (and @t105 @t425)) % 0.63/0.87 (define @t427 () (not @t425)) % 0.63/0.87 (define @t428 () (lambda @t223 (= @t126 @t222))) % 0.63/0.87 (define @t429 () (@purify @t428)) % 0.63/0.87 (define @t430 () (tptp.eps @t428)) % 0.63/0.87 (define @t431 () (= @t126 @t430)) % 0.63/0.87 (define @t432 () (lambda @t223 (= @t222 @t126))) % 0.63/0.87 (define @t433 () (tptp.eps @t432)) % 0.63/0.87 (define @t434 () (_ @t432 @t433)) % 0.63/0.87 (define @t435 () (_ @t432 @t126)) % 0.63/0.87 (define @t436 () (not @t435)) % 0.63/0.87 (define @t437 () (or @t436 @t434)) % 0.63/0.87 (define @t438 () (tptp.eps @t429)) % 0.63/0.87 (define @t439 () (= @t126 @t438)) % 0.63/0.87 (define @t440 () (= @t173 @t429)) % 0.63/0.87 (define @t441 () (and @t439 @t440)) % 0.63/0.87 (define @t442 () (not @t440)) % 0.63/0.87 (define @t443 () (= @t132 @t422)) % 0.63/0.87 (define @t444 () (and @t51 @t443)) % 0.63/0.87 (define @t445 () (= @t129 @t422)) % 0.63/0.87 (define @t446 () (and @t108 @t445)) % 0.63/0.87 (define @t447 () (or @t424 @t446 @t426 @t444)) % 0.63/0.87 (define @t448 () (_ @t428 @t422)) % 0.63/0.87 (define @t449 () (_ @t429 @t422)) % 0.63/0.87 (define @t450 () (or (and @t101 @t423) (and @t107 @t445) (and @t104 @t425) (and @t50 @t443))) % 0.63/0.87 (define @t451 () (and @t50 (= @t422 @t132))) % 0.63/0.87 (define @t452 () (and @t104 (= @t422 @t126))) % 0.63/0.87 (define @t453 () (and @t107 (= @t422 @t129))) % 0.63/0.87 (define @t454 () (and @t101 (= @t422 @t123))) % 0.63/0.87 (define @t455 () (or @t454 @t453 @t452 @t451)) % 0.63/0.87 (define @t456 () (_ @t182 @t422)) % 0.63/0.87 (define @t457 () (_ @t173 @t422)) % 0.63/0.87 (define @t458 () (= @t457 @t449)) % 0.63/0.87 (define @t459 () (not @t458)) % 0.63/0.87 (define @t460 () (or @t440 @t459)) % 0.63/0.87 (define @t461 () (= @t425 @t447)) % 0.63/0.87 (define @t462 () (not @t444)) % 0.63/0.87 (define @t463 () (= @t260 @t269)) % 0.63/0.87 (define @t464 () (not @t463)) % 0.63/0.87 (define @t465 () (not @t269)) % 0.63/0.87 (define @t466 () (@list true true)) % 0.63/0.87 (define @t467 () (not @t446)) % 0.63/0.87 (define @t468 () (@list @t108)) % 0.63/0.87 (define @t469 () (@list @t81)) % 0.63/0.87 (define @t470 () (and @t266 @t269 @t404 @t390)) % 0.63/0.87 (define @t471 () (and @t266 @t269 @t410)) % 0.63/0.87 (assume @p1 @t10) % 0.63/0.87 (assume @p2 @t22) % 0.63/0.87 (assume @p3 true) % 0.63/0.87 (step @p4 (= tptp.case @t44) :rule refl :args (@t44)) % 0.63/0.87 (step @p5 :rule eq-symm :args (@t49 @t51)) % 0.63/0.87 (step @p6 :rule refl :args (@t51)) % 0.63/0.87 (step @p7 :rule eq-symm :args (@t48 tptp.f)) % 0.63/0.87 (step @p8 :rule refl :args (tptp.f)) % 0.63/0.87 (step @p9 :rule eq-refl :args (@t47)) % 0.63/0.87 (step @p10 :rule refl :args (@t47)) % 0.63/0.87 (step @p11 :rule symm :premises (@p10)) % 0.63/0.87 (step @p12 :rule refl :args (@t47)) % 0.63/0.87 (step @p13 :rule cong :premises (@p12 @p11) :args ((= @t47 @t47))) % 0.63/0.87 (step @p14 :rule trans :premises (@p13 @p9)) % 0.63/0.87 (step @p15 :rule skolem_intro :args (@t48)) % 0.63/0.87 (step @p16 :rule cong :premises (@p12 @p15) :args ((= @t47 @t48))) % 0.63/0.87 (step @p17 :rule trans :premises (@p16 @p14)) % 0.63/0.87 (step @p18 :rule true_elim :premises (@p17)) % 0.63/0.87 (step @p19 :rule cong :premises (@p18 @p8) :args (@t50)) % 0.63/0.87 (step @p20 :rule trans :premises (@p19 @p7)) % 0.63/0.87 (step @p21 :rule cong :premises (@p20 @p6) :args ((= @t50 @t51))) % 0.63/0.87 (step @p22 :rule trans :premises (@p21 @p5)) % 0.63/0.87 (step @p23 :rule eq-symm :args (@t51 @t50)) % 0.63/0.87 (step @p24 :rule trans :premises (@p23 @p22)) % 0.63/0.87 (step @p25 :rule skolem_intro :args (@t51)) % 0.63/0.87 (step @p26 :rule eq_resolve :premises (@p25 @p24)) % 0.63/0.87 (step @p27 :rule equiv_elim2 :premises (@p26)) % 0.63/0.87 (step @p28 :rule bool-impl-false1 :args (@t55)) % 0.63/0.87 (step @p29 :rule quant-unused-vars :args ((= (forall @t46 false) false))) % 0.63/0.87 (step @p30 :rule evaluate :args (@t56)) % 0.63/0.87 (step @p31 :rule cong :premises (@p30) :args (@t57)) % 0.63/0.87 (step @p32 :rule trans :premises (@p31 @p29)) % 0.63/0.87 (step @p33 :rule refl :args (@t55)) % 0.63/0.87 (step @p34 :rule cong :premises (@p33 @p32) :args ((=> @t55 @t57))) % 0.63/0.87 (step @p35 :rule trans :premises (@p34 @p28)) % 0.63/0.87 (step @p36 :rule evaluate :args ((not false))) % 0.63/0.87 ; WARNING: add trust step for DISTINCT_VALUES % 0.63/0.87 ; trust DISTINCT_VALUES % 0.63/0.87 (step @p37 :rule trust :premises () :args (@t59)) % 0.63/0.87 (step @p38 :rule false_intro :premises (@p37)) % 0.63/0.87 (step @p39 :rule refl :args (@t53)) % 0.63/0.87 (step @p40 :rule symm :premises (@p39)) % 0.63/0.87 (step @p41 :rule cong :premises (@p11 @p40) :args (@t58)) % 0.63/0.87 (step @p42 :rule trans :premises (@p41 @p38)) % 0.63/0.87 (step @p43 :rule cong :premises (@p42) :args (@t59)) % 0.63/0.87 (step @p44 :rule trans :premises (@p43 @p36)) % 0.63/0.87 (step @p45 :rule skolem_intro :args (@t54)) % 0.63/0.87 (step @p46 :rule cong :premises (@p15 @p45) :args (@t55)) % 0.63/0.87 (step @p47 :rule cong :premises (@p46) :args (@t60)) % 0.63/0.87 (step @p48 :rule trans :premises (@p35 @p47 @p44)) % 0.63/0.87 (step @p49 :rule true_elim :premises (@p48)) % 0.63/0.87 (step @p50 :rule eq_resolve :premises (@p49 @p35)) % 0.63/0.87 (step @p51 :rule refl :args (@t62)) % 0.63/0.87 (step @p52 :rule bool-double-not-elim :args (@t55)) % 0.63/0.87 (step @p53 :rule refl :args (@t63)) % 0.63/0.87 (step @p54 :rule nary_cong :premises (@p53 @p52 @p51) :args ((or @t63 (not @t60) @t62))) % 0.63/0.87 (assume-push @p1522 @t49) % 0.63/0.87 (assume-push @p1523 @t60) % 0.63/0.87 (assume-push @p1524 @t60) % 0.63/0.87 (assume-push @p1525 @t49) % 0.63/0.87 (step @p59 :rule false_intro :premises (@p50)) % 0.63/0.87 (step @p60 :rule refl :args (@t54)) % 0.63/0.87 (step @p61 :rule cong :premises (@p1522 @p60) :args (@t61)) % 0.63/0.87 (step @p62 :rule trans :premises (@p61 @p59)) % 0.63/0.87 (step @p63 :rule false_elim :premises (@p62)) % 0.63/0.87 (step-pop @p1526 :rule scope :premises (@p63)) % 0.63/0.87 (step-pop @p1527 :rule scope :premises (@p1526)) % 0.63/0.87 (step @p64 :rule process_scope :premises (@p1527) :args (@t62)) % 0.63/0.87 (step @p67 :rule and_intro :premises (@p50 @p1522)) % 0.63/0.87 (step @p68 :rule modus_ponens :premises (@p67 @p64)) % 0.63/0.87 (step-pop @p1528 :rule scope :premises (@p68)) % 0.63/0.87 (step-pop @p1529 :rule scope :premises (@p1528)) % 0.63/0.87 (step @p69 :rule process_scope :premises (@p1529) :args (@t62)) % 0.63/0.87 (step @p72 :rule implies_elim :premises (@p69)) % 0.63/0.87 (step @p73 :rule cnf_and_neg :args (@t64)) % 0.63/0.87 (step @p74 :rule resolution :premises (@p73 @p72) :args (true @t64)) % 0.63/0.87 (step @p75 :rule eq_resolve :premises (@p74 @p54)) % 0.63/0.87 (step @p76 :rule reordering :premises (@p75) :args ((or @t63 @t62 @t55))) % 0.63/0.87 (step @p77 :rule bool-impl-false1 :args (@t71)) % 0.63/0.87 (step @p78 :rule quant-var-elim-eq :args ((= (forall @t46 (or (not (= @t45 false)) @t45)) false))) % 0.63/0.87 (step @p79 :rule refl :args (@t45)) % 0.63/0.87 (step @p80 :rule bool-eq-false :args (@t45)) % 0.63/0.87 (step @p81 :rule symm :premises (@p80)) % 0.63/0.87 (step @p82 :rule cong :premises (@p81) :args ((not @t72))) % 0.63/0.87 (step @p83 :rule bool-double-not-elim :args (@t45)) % 0.63/0.87 (step @p84 :rule symm :premises (@p83)) % 0.63/0.87 (step @p85 :rule trans :premises (@p84 @p82)) % 0.63/0.87 (step @p86 :rule nary_cong :premises (@p85 @p79) :args (@t73)) % 0.63/0.87 (step @p87 :rule aci_norm :args ((= @t45 @t73))) % 0.63/0.87 (step @p88 :rule trans :premises (@p87 @p86)) % 0.63/0.87 (step @p89 :rule cong :premises (@p88) :args ((forall @t46 @t45))) % 0.63/0.87 (step @p90 :rule trans :premises (@p89 @p78)) % 0.63/0.87 (step @p91 :rule bool-eq-true :args (@t45)) % 0.63/0.87 (step @p92 :rule eq-symm :args (true @t45)) % 0.63/0.87 (step @p93 :rule trans :premises (@p92 @p91)) % 0.63/0.87 (step @p94 :rule cong :premises (@p93) :args (@t74)) % 0.63/0.87 (step @p95 :rule trans :premises (@p94 @p90)) % 0.63/0.87 (step @p96 :rule refl :args (@t71)) % 0.63/0.87 (step @p97 :rule cong :premises (@p96 @p95) :args ((=> @t71 @t74))) % 0.63/0.87 (step @p98 :rule trans :premises (@p97 @p77)) % 0.63/0.87 ; trust DISTINCT_VALUES % 0.63/0.87 (step @p99 :rule trust :premises () :args (@t76)) % 0.63/0.87 (step @p100 :rule false_intro :premises (@p99)) % 0.63/0.87 (step @p101 :rule refl :args (@t69)) % 0.63/0.87 (step @p102 :rule symm :premises (@p101)) % 0.63/0.87 (step @p103 :rule eq-symm :args (false @t65)) % 0.63/0.87 (step @p104 :rule true_intro :premises (@p103)) % 0.63/0.87 (step @p105 :rule eq-symm :args (@t66 @t77)) % 0.63/0.87 (step @p106 :rule trans :premises (@p105 @p104)) % 0.63/0.87 (step @p107 :rule refl :args (@t65)) % 0.63/0.87 (step @p108 :rule evaluate :args (@t78)) % 0.63/0.87 (step @p109 :rule cong :premises (@p108 @p107) :args ((= @t78 @t65))) % 0.63/0.87 (step @p110 :rule bool-not-eq-elim1 :args (true @t65)) % 0.63/0.87 (step @p111 :rule trans :premises (@p110 @p109)) % 0.63/0.87 (step @p112 :rule ite-neg-branch :premises (@p111) :args (@t66 @t77 (= true @t65))) % 0.63/0.87 (step @p113 :rule trans :premises (@p112 @p106)) % 0.63/0.87 (step @p114 :rule eq-ite-lift :args (@t66 false true @t65)) % 0.63/0.87 (step @p115 :rule trans :premises (@p114 @p113)) % 0.63/0.87 (step @p116 :rule eq-symm :args (@t65 @t67)) % 0.63/0.87 (step @p117 :rule trans :premises (@p116 @p115)) % 0.63/0.87 (step @p118 :rule true_elim :premises (@p117)) % 0.63/0.87 (step @p119 :rule cong :premises (@p118) :args ((lambda @t68 @t65))) % 0.63/0.87 (step @p120 :rule trans :premises (@p119 @p102)) % 0.63/0.87 (step @p121 :rule bool-double-not-elim :args (@t65)) % 0.63/0.87 (step @p122 :rule bool-eq-false :args (@t65)) % 0.63/0.87 (step @p123 :rule cong :premises (@p122) :args (@t79)) % 0.63/0.87 (step @p124 :rule trans :premises (@p123 @p121)) % 0.63/0.87 (step @p125 :rule aci_norm :args ((= (and @t79 true) @t79))) % 0.63/0.87 (step @p126 :rule ite-then-false :args (@t66 true)) % 0.63/0.87 (step @p127 :rule trans :premises (@p126 @p125)) % 0.63/0.87 (step @p128 :rule trans :premises (@p127 @p124)) % 0.63/0.87 (step @p129 :rule cong :premises (@p128) :args (@t69)) % 0.63/0.87 (step @p130 :rule trans :premises (@p129 @p120)) % 0.63/0.87 (step @p131 :rule cong :premises (@p11 @p130) :args (@t75)) % 0.63/0.87 (step @p132 :rule trans :premises (@p131 @p100)) % 0.63/0.87 (step @p133 :rule cong :premises (@p132) :args (@t76)) % 0.63/0.87 (step @p134 :rule trans :premises (@p133 @p36)) % 0.63/0.87 (step @p135 :rule skolem_intro :args (@t70)) % 0.63/0.87 (step @p136 :rule cong :premises (@p15 @p135) :args (@t71)) % 0.63/0.87 (step @p137 :rule cong :premises (@p136) :args (@t80)) % 0.63/0.87 (step @p138 :rule trans :premises (@p98 @p137 @p134)) % 0.63/0.87 (step @p139 :rule true_elim :premises (@p138)) % 0.63/0.87 (step @p140 :rule eq_resolve :premises (@p139 @p98)) % 0.63/0.87 (step @p141 :rule refl :args (@t82)) % 0.63/0.87 (step @p142 :rule bool-double-not-elim :args (@t71)) % 0.63/0.87 (step @p143 :rule nary_cong :premises (@p53 @p142 @p141) :args ((or @t63 (not @t80) @t82))) % 0.63/0.87 (assume-push @p1530 @t49) % 0.63/0.87 (assume-push @p1531 @t80) % 0.63/0.87 (assume-push @p1532 @t80) % 0.63/0.87 (assume-push @p1533 @t49) % 0.63/0.87 (step @p148 :rule false_intro :premises (@p140)) % 0.63/0.87 (step @p149 :rule refl :args (@t70)) % 0.63/0.87 (step @p150 :rule cong :premises (@p1530 @p149) :args (@t81)) % 0.63/0.87 (step @p151 :rule trans :premises (@p150 @p148)) % 0.63/0.87 (step @p152 :rule false_elim :premises (@p151)) % 0.63/0.87 (step-pop @p1534 :rule scope :premises (@p152)) % 0.63/0.87 (step-pop @p1535 :rule scope :premises (@p1534)) % 0.63/0.87 (step @p153 :rule process_scope :premises (@p1535) :args (@t82)) % 0.63/0.87 (step @p156 :rule and_intro :premises (@p140 @p1530)) % 0.63/0.87 (step @p157 :rule modus_ponens :premises (@p156 @p153)) % 0.63/0.87 (step-pop @p1536 :rule scope :premises (@p157)) % 0.63/0.87 (step-pop @p1537 :rule scope :premises (@p1536)) % 0.63/0.87 (step @p158 :rule process_scope :premises (@p1537) :args (@t82)) % 0.63/0.87 (step @p161 :rule implies_elim :premises (@p158)) % 0.63/0.87 (step @p162 :rule cnf_and_neg :args (@t83)) % 0.63/0.87 (step @p163 :rule resolution :premises (@p162 @p161) :args (true @t83)) % 0.63/0.87 (step @p164 :rule eq_resolve :premises (@p163 @p143)) % 0.63/0.87 (step @p165 :rule reordering :premises (@p164) :args ((or @t63 @t82 @t71))) % 0.63/0.87 (step @p166 :rule bool-impl-false1 :args (@t90)) % 0.63/0.87 (step @p167 :rule evaluate :args (@t78)) % 0.63/0.87 (step @p168 :rule quant-var-elim-eq :args ((= (forall @t46 (or (not (= @t45 true)) @t72)) @t78))) % 0.63/0.87 (step @p169 :rule refl :args (@t72)) % 0.63/0.87 (step @p170 :rule symm :premises (@p91)) % 0.63/0.87 (step @p171 :rule cong :premises (@p170) :args (@t72)) % 0.63/0.87 (step @p172 :rule nary_cong :premises (@p171 @p169) :args (@t91)) % 0.63/0.87 (step @p173 :rule aci_norm :args ((= @t72 @t91))) % 0.63/0.87 (step @p174 :rule trans :premises (@p173 @p172)) % 0.63/0.87 (step @p175 :rule cong :premises (@p174) :args ((forall @t46 @t72))) % 0.63/0.87 (step @p176 :rule trans :premises (@p175 @p168)) % 0.63/0.87 (step @p177 :rule trans :premises (@p176 @p167)) % 0.63/0.87 (step @p178 :rule bool-eq-true :args (@t72)) % 0.63/0.87 (step @p179 :rule eq-symm :args (true @t72)) % 0.63/0.87 (step @p180 :rule trans :premises (@p179 @p178)) % 0.63/0.87 (step @p181 :rule cong :premises (@p180) :args (@t92)) % 0.63/0.87 (step @p182 :rule trans :premises (@p181 @p177)) % 0.63/0.87 (step @p183 :rule refl :args (@t90)) % 0.63/0.87 (step @p184 :rule cong :premises (@p183 @p182) :args ((=> @t90 @t92))) % 0.63/0.87 (step @p185 :rule trans :premises (@p184 @p166)) % 0.63/0.87 ; trust DISTINCT_VALUES % 0.63/0.87 (step @p186 :rule trust :premises () :args (@t94)) % 0.63/0.87 (step @p187 :rule false_intro :premises (@p186)) % 0.63/0.87 (step @p188 :rule refl :args (@t88)) % 0.63/0.87 (step @p189 :rule symm :premises (@p188)) % 0.63/0.87 (step @p190 :rule bool-eq-true :args (@t84)) % 0.63/0.87 (step @p191 :rule cong :premises (@p190) :args (@t95)) % 0.63/0.87 (step @p192 :rule bool-eq-false :args (@t85)) % 0.63/0.87 (step @p193 :rule trans :premises (@p192 @p191)) % 0.63/0.87 (step @p194 :rule ite-neg-branch :premises (@p108) :args (@t85 false true)) % 0.63/0.87 (step @p195 :rule trans :premises (@p194 @p193)) % 0.63/0.87 (step @p196 :rule symm :premises (@p195)) % 0.63/0.87 (step @p197 :rule cong :premises (@p196) :args ((lambda @t87 @t96))) % 0.63/0.87 (step @p198 :rule trans :premises (@p197 @p189)) % 0.63/0.87 (step @p199 :rule bool-eq-true :args (@t84)) % 0.63/0.87 (step @p200 :rule cong :premises (@p199) :args (@t95)) % 0.63/0.87 (step @p201 :rule aci_norm :args ((= (and @t95 true) @t95))) % 0.63/0.87 (step @p202 :rule ite-then-false :args (@t85 true)) % 0.63/0.87 (step @p203 :rule trans :premises (@p202 @p201)) % 0.63/0.87 (step @p204 :rule trans :premises (@p203 @p200)) % 0.63/0.87 (step @p205 :rule cong :premises (@p204) :args (@t88)) % 0.63/0.87 (step @p206 :rule trans :premises (@p205 @p198)) % 0.63/0.87 (step @p207 :rule cong :premises (@p11 @p206) :args (@t93)) % 0.63/0.87 (step @p208 :rule trans :premises (@p207 @p187)) % 0.63/0.87 (step @p209 :rule cong :premises (@p208) :args (@t94)) % 0.63/0.87 (step @p210 :rule trans :premises (@p209 @p36)) % 0.63/0.87 (step @p211 :rule skolem_intro :args (@t89)) % 0.63/0.87 (step @p212 :rule cong :premises (@p15 @p211) :args (@t90)) % 0.63/0.87 (step @p213 :rule cong :premises (@p212) :args (@t97)) % 0.63/0.87 (step @p214 :rule trans :premises (@p185 @p213 @p210)) % 0.63/0.87 (step @p215 :rule true_elim :premises (@p214)) % 0.63/0.87 (step @p216 :rule eq_resolve :premises (@p215 @p185)) % 0.63/0.87 (step @p217 :rule refl :args (@t99)) % 0.63/0.87 (step @p218 :rule bool-double-not-elim :args (@t90)) % 0.63/0.87 (step @p219 :rule nary_cong :premises (@p53 @p218 @p217) :args ((or @t63 (not @t97) @t99))) % 0.63/0.87 (assume-push @p1538 @t49) % 0.63/0.87 (assume-push @p1539 @t97) % 0.63/0.87 (assume-push @p1540 @t97) % 0.63/0.87 (assume-push @p1541 @t49) % 0.63/0.87 (step @p224 :rule false_intro :premises (@p216)) % 0.63/0.87 (step @p225 :rule refl :args (@t89)) % 0.63/0.87 (step @p226 :rule cong :premises (@p1538 @p225) :args (@t98)) % 0.63/0.87 (step @p227 :rule trans :premises (@p226 @p224)) % 0.63/0.87 (step @p228 :rule false_elim :premises (@p227)) % 0.63/0.87 (step-pop @p1542 :rule scope :premises (@p228)) % 0.63/0.87 (step-pop @p1543 :rule scope :premises (@p1542)) % 0.63/0.87 (step @p229 :rule process_scope :premises (@p1543) :args (@t99)) % 0.63/0.87 (step @p232 :rule and_intro :premises (@p216 @p1538)) % 0.63/0.87 (step @p233 :rule modus_ponens :premises (@p232 @p229)) % 0.63/0.87 (step-pop @p1544 :rule scope :premises (@p233)) % 0.63/0.87 (step-pop @p1545 :rule scope :premises (@p1544)) % 0.63/0.87 (step @p234 :rule process_scope :premises (@p1545) :args (@t99)) % 0.63/0.87 (step @p237 :rule implies_elim :premises (@p234)) % 0.63/0.87 (step @p238 :rule cnf_and_neg :args (@t100)) % 0.63/0.87 (step @p239 :rule resolution :premises (@p238 @p237) :args (true @t100)) % 0.63/0.87 (step @p240 :rule eq_resolve :premises (@p239 @p219)) % 0.63/0.87 (step @p241 :rule reordering :premises (@p240) :args ((or @t63 @t99 @t90))) % 0.63/0.87 (step @p242 :rule eq-symm :args (@t61 @t102)) % 0.63/0.87 (step @p243 :rule refl :args (@t102)) % 0.63/0.87 (step @p244 :rule eq-symm :args (@t54 tptp.f)) % 0.63/0.87 (step @p245 :rule eq-refl :args (@t53)) % 0.63/0.87 (step @p246 :rule refl :args (@t53)) % 0.63/0.87 (step @p247 :rule cong :premises (@p246 @p40) :args ((= @t53 @t53))) % 0.63/0.87 (step @p248 :rule trans :premises (@p247 @p245)) % 0.63/0.87 (step @p249 :rule cong :premises (@p246 @p45) :args ((= @t53 @t54))) % 0.63/0.87 (step @p250 :rule trans :premises (@p249 @p248)) % 0.63/0.87 (step @p251 :rule true_elim :premises (@p250)) % 0.63/0.87 (step @p252 :rule cong :premises (@p251 @p8) :args (@t101)) % 0.63/0.87 (step @p253 :rule trans :premises (@p252 @p244)) % 0.63/0.87 (step @p254 :rule cong :premises (@p253 @p243) :args ((= @t101 @t102))) % 0.63/0.87 (step @p255 :rule trans :premises (@p254 @p242)) % 0.63/0.87 (step @p256 :rule eq-symm :args (@t102 @t101)) % 0.63/0.87 (step @p257 :rule trans :premises (@p256 @p255)) % 0.63/0.87 (step @p258 :rule skolem_intro :args (@t102)) % 0.63/0.87 (step @p259 :rule eq_resolve :premises (@p258 @p257)) % 0.63/0.87 (step @p260 :rule equiv_elim1 :premises (@p259)) % 0.63/0.87 (step @p261 :rule reordering :premises (@p260) :args ((or @t61 @t103))) % 0.63/0.87 (step @p262 :rule eq-symm :args (@t81 @t105)) % 0.63/0.87 (step @p263 :rule refl :args (@t105)) % 0.63/0.87 (step @p264 :rule eq-symm :args (@t70 tptp.f)) % 0.63/0.87 (step @p265 :rule eq-refl :args (@t69)) % 0.63/0.87 (step @p266 :rule refl :args (@t69)) % 0.63/0.87 (step @p267 :rule cong :premises (@p266 @p130) :args ((= @t69 @t69))) % 0.63/0.87 (step @p268 :rule trans :premises (@p267 @p265)) % 0.63/0.87 (step @p269 :rule cong :premises (@p266 @p135) :args ((= @t69 @t70))) % 0.63/0.87 (step @p270 :rule trans :premises (@p269 @p268)) % 0.63/0.87 (step @p271 :rule true_elim :premises (@p270)) % 0.63/0.87 (step @p272 :rule cong :premises (@p271 @p8) :args (@t104)) % 0.63/0.87 (step @p273 :rule trans :premises (@p272 @p264)) % 0.63/0.87 (step @p274 :rule cong :premises (@p273 @p263) :args ((= @t104 @t105))) % 0.63/0.87 (step @p275 :rule trans :premises (@p274 @p262)) % 0.63/0.87 (step @p276 :rule eq-symm :args (@t105 @t104)) % 0.63/0.87 (step @p277 :rule trans :premises (@p276 @p275)) % 0.63/0.87 (step @p278 :rule skolem_intro :args (@t105)) % 0.63/0.87 (step @p279 :rule eq_resolve :premises (@p278 @p277)) % 0.63/0.87 (step @p280 :rule equiv_elim1 :premises (@p279)) % 0.63/0.87 (step @p281 :rule reordering :premises (@p280) :args ((or @t81 @t106))) % 0.63/0.87 (step @p282 :rule eq-symm :args (@t98 @t108)) % 0.63/0.87 (step @p283 :rule refl :args (@t108)) % 0.63/0.87 (step @p284 :rule eq-symm :args (@t89 tptp.f)) % 0.63/0.87 (step @p285 :rule eq-refl :args (@t88)) % 0.63/0.87 (step @p286 :rule refl :args (@t88)) % 0.63/0.87 (step @p287 :rule cong :premises (@p286 @p206) :args ((= @t88 @t88))) % 0.63/0.87 (step @p288 :rule trans :premises (@p287 @p285)) % 0.63/0.87 (step @p289 :rule cong :premises (@p286 @p211) :args ((= @t88 @t89))) % 0.63/0.87 (step @p290 :rule trans :premises (@p289 @p288)) % 0.63/0.87 (step @p291 :rule true_elim :premises (@p290)) % 0.63/0.87 (step @p292 :rule cong :premises (@p291 @p8) :args (@t107)) % 0.63/0.87 (step @p293 :rule trans :premises (@p292 @p284)) % 0.63/0.87 (step @p294 :rule cong :premises (@p293 @p283) :args ((= @t107 @t108))) % 0.63/0.87 (step @p295 :rule trans :premises (@p294 @p282)) % 0.63/0.87 (step @p296 :rule eq-symm :args (@t108 @t107)) % 0.63/0.87 (step @p297 :rule trans :premises (@p296 @p295)) % 0.63/0.87 (step @p298 :rule skolem_intro :args (@t108)) % 0.63/0.87 (step @p299 :rule eq_resolve :premises (@p298 @p297)) % 0.63/0.87 (step @p300 :rule equiv_elim1 :premises (@p299)) % 0.63/0.87 (step @p301 :rule reordering :premises (@p300) :args ((or @t98 @t109))) % 0.63/0.87 (step @p302 :rule cnf_and_pos :args (@t125 0)) % 0.63/0.87 (step @p303 :rule reordering :premises (@p302) :args ((or @t102 (not @t125)))) % 0.63/0.87 (step @p304 :rule cnf_and_pos :args (@t128 0)) % 0.63/0.87 (step @p305 :rule reordering :premises (@p304) :args ((or @t105 (not @t128)))) % 0.63/0.87 (step @p306 :rule cnf_and_pos :args (@t131 0)) % 0.63/0.87 (step @p307 :rule reordering :premises (@p306) :args ((or @t108 (not @t131)))) % 0.63/0.87 (step @p308 :rule cnf_and_neg :args (@t134)) % 0.63/0.87 (step @p309 :rule reordering :premises (@p308) :args ((or @t136 @t134 @t135))) % 0.63/0.87 (step @p310 :rule refl :args ((tptp.eps @t137))) % 0.63/0.87 (step @p311 :rule refl :args (@t111)) % 0.63/0.87 (step @p312 :rule refl :args (tptp.f)) % 0.63/0.87 (step @p313 :rule cong :premises (@p10 @p312) :args (@t50)) % 0.63/0.87 (step @p314 :rule nary_cong :premises (@p313 @p311) :args (@t112)) % 0.63/0.87 (step @p315 :rule refl :args (@t113)) % 0.63/0.87 (step @p316 :rule cong :premises (@p101 @p312) :args (@t104)) % 0.63/0.87 (step @p317 :rule nary_cong :premises (@p316 @p315) :args (@t114)) % 0.63/0.87 (step @p318 :rule refl :args (@t115)) % 0.63/0.87 (step @p319 :rule cong :premises (@p188 @p312) :args (@t107)) % 0.63/0.87 (step @p320 :rule nary_cong :premises (@p319 @p318) :args (@t116)) % 0.63/0.87 (step @p321 :rule refl :args (@t117)) % 0.63/0.87 (step @p322 :rule cong :premises (@p39 @p312) :args (@t101)) % 0.63/0.87 (step @p323 :rule nary_cong :premises (@p322 @p321) :args (@t118)) % 0.63/0.87 (step @p324 :rule nary_cong :premises (@p323 @p320 @p317 @p314) :args (@t119)) % 0.63/0.87 (step @p325 :rule cong :premises (@p324) :args (@t120)) % 0.63/0.87 (step @p326 :rule cong :premises (@p325) :args (@t121)) % 0.63/0.87 (step @p327 :rule trans :premises (@p326 @p310)) % 0.63/0.87 (step @p328 :rule refl :args (tptp.eps)) % 0.63/0.87 (step @p329 :rule ho_cong :premises (@p328 @p325)) % 0.63/0.87 (step @p330 :rule cong :premises (@p329 @p327) :args ((= @t138 @t121))) % 0.63/0.87 (step @p331 :rule symm :premises (@p330)) % 0.63/0.87 (step @p332 :rule refl :args ((_ tptp.eps @t137))) % 0.63/0.87 (step @p333 :rule eq_resolve :premises (@p332 @p331)) % 0.63/0.87 (step @p334 :rule refl :args (@t11)) % 0.63/0.87 (step @p335 :rule cong :premises (@p334 @p333) :args (@t139)) % 0.63/0.87 (step @p336 :rule refl :args (@t12)) % 0.63/0.87 (step @p337 :rule cong :premises (@p336 @p333) :args (@t140)) % 0.63/0.87 (step @p338 :rule refl :args (@t13)) % 0.63/0.87 (step @p339 :rule cong :premises (@p338 @p333) :args (@t141)) % 0.63/0.87 (step @p340 :rule refl :args (@t4)) % 0.63/0.87 (step @p341 :rule cong :premises (@p340 @p333) :args (@t142)) % 0.63/0.87 (step @p342 :rule nary_cong :premises (@p341 @p339 @p337 @p335) :args (@t143)) % 0.63/0.87 (step @p343 :rule cong :premises (@p342) :args ((forall @t20 @t143))) % 0.63/0.87 (step @p344 :rule eq-symm :args (@t138 @t11)) % 0.63/0.87 (step @p345 :rule refl :args (@t11)) % 0.63/0.87 (step @p346 :rule beta-reduce :args ((= (_ @t144 @t11) @t138))) % 0.63/0.87 (step @p347 :rule beta-reduce :args ((= (_ @t145 @t12) @t144))) % 0.63/0.87 (step @p348 :rule refl :args (@t12)) % 0.63/0.87 (step @p349 :rule beta-reduce :args ((= (_ @t146 @t13) @t145))) % 0.63/0.87 (step @p350 :rule refl :args (@t13)) % 0.63/0.87 (step @p351 :rule beta-reduce :args ((= (_ (lambda @t20 @t138) @t4) @t146))) % 0.63/0.87 (step @p352 :rule refl :args (@t4)) % 0.63/0.87 (step @p353 :rule refl :args (@t111)) % 0.63/0.87 (step @p354 :rule eq-symm :args (tptp.f @t47)) % 0.63/0.87 (step @p355 :rule nary_cong :premises (@p354 @p353) :args (@t147)) % 0.63/0.87 (step @p356 :rule refl :args (@t113)) % 0.63/0.87 (step @p357 :rule eq-symm :args (tptp.f @t69)) % 0.63/0.87 (step @p358 :rule nary_cong :premises (@p357 @p356) :args (@t148)) % 0.63/0.87 (step @p359 :rule refl :args (@t115)) % 0.63/0.87 (step @p360 :rule eq-symm :args (tptp.f @t88)) % 0.63/0.87 (step @p361 :rule nary_cong :premises (@p360 @p359) :args (@t149)) % 0.63/0.87 (step @p362 :rule refl :args (@t117)) % 0.63/0.87 (step @p363 :rule eq-symm :args (tptp.f @t53)) % 0.63/0.87 (step @p364 :rule nary_cong :premises (@p363 @p362) :args (@t150)) % 0.63/0.87 (step @p365 :rule nary_cong :premises (@p364 @p361 @p358 @p355) :args (@t151)) % 0.63/0.87 (step @p366 :rule cong :premises (@p365) :args (@t152)) % 0.63/0.87 (step @p367 :rule refl :args (tptp.eps)) % 0.63/0.87 (step @p368 :rule ho_cong :premises (@p367 @p366)) % 0.63/0.87 (step @p369 :rule cong :premises (@p368) :args (@t153)) % 0.63/0.87 (step @p370 :rule beta-reduce :args ((= @t154 @t153))) % 0.63/0.87 (step @p371 :rule trans :premises (@p370 @p369)) % 0.63/0.87 (step @p372 :rule ho_cong :premises (@p371 @p352)) % 0.63/0.87 (step @p373 :rule trans :premises (@p372 @p351)) % 0.63/0.87 (step @p374 :rule ho_cong :premises (@p373 @p350)) % 0.63/0.87 (step @p375 :rule trans :premises (@p374 @p349)) % 0.63/0.87 (step @p376 :rule ho_cong :premises (@p375 @p348)) % 0.63/0.87 (step @p377 :rule trans :premises (@p376 @p347)) % 0.63/0.87 (step @p378 :rule ho_cong :premises (@p377 @p345)) % 0.63/0.87 (step @p379 :rule trans :premises (@p378 @p346)) % 0.63/0.87 (step @p380 :rule cong :premises (@p379 @p345) :args (@t156)) % 0.63/0.87 (step @p381 :rule trans :premises (@p380 @p344)) % 0.63/0.87 (step @p382 :rule eq-symm :args (@t138 @t12)) % 0.63/0.87 (step @p383 :rule cong :premises (@p379 @p348) :args (@t157)) % 0.63/0.87 (step @p384 :rule trans :premises (@p383 @p382)) % 0.63/0.87 (step @p385 :rule eq-symm :args (@t138 @t13)) % 0.63/0.87 (step @p386 :rule cong :premises (@p379 @p350) :args (@t158)) % 0.63/0.87 (step @p387 :rule trans :premises (@p386 @p385)) % 0.63/0.87 (step @p388 :rule eq-symm :args (@t138 @t4)) % 0.63/0.87 (step @p389 :rule cong :premises (@p379 @p352) :args (@t159)) % 0.63/0.87 (step @p390 :rule trans :premises (@p389 @p388)) % 0.63/0.87 (step @p391 :rule nary_cong :premises (@p390 @p387 @p384 @p381) :args (@t160)) % 0.63/0.87 (step @p392 :rule cong :premises (@p391) :args (@t161)) % 0.63/0.87 (step @p393 :rule trans :premises (@p392 @p343)) % 0.63/0.87 (step @p394 :rule cong :premises (@p393) :args ((not @t161))) % 0.63/0.87 (step @p395 :rule eq-symm :args (@t23 @t11)) % 0.63/0.87 (step @p396 :rule symm :premises (@p10)) % 0.63/0.87 (step @p397 :rule alpha_equiv :args (@t26 @t162 (@list @t45))) % 0.63/0.87 (step @p398 :rule trans :premises (@p397 @p396)) % 0.63/0.87 (step @p399 :rule refl :args (@t27)) % 0.63/0.87 (step @p400 :rule cong :premises (@p399 @p398) :args (@t28)) % 0.63/0.87 (step @p401 :rule nary_cong :premises (@p400 @p395) :args (@t29)) % 0.63/0.87 (step @p402 :rule eq-symm :args (@t23 @t12)) % 0.63/0.87 (step @p403 :rule alpha_equiv :args (@t30 @t162 (@list @t65))) % 0.63/0.87 (step @p404 :rule trans :premises (@p403 @p119)) % 0.63/0.87 (step @p405 :rule trans :premises (@p404 @p102)) % 0.63/0.87 (step @p406 :rule cong :premises (@p399 @p405) :args (@t31)) % 0.63/0.87 (step @p407 :rule nary_cong :premises (@p406 @p402) :args (@t32)) % 0.63/0.87 (step @p408 :rule eq-symm :args (@t23 @t13)) % 0.63/0.87 (step @p409 :rule alpha_equiv :args (@t34 (@list @t33) (@list @t84))) % 0.63/0.87 (step @p410 :rule trans :premises (@p409 @p197)) % 0.63/0.87 (step @p411 :rule trans :premises (@p410 @p189)) % 0.63/0.87 (step @p412 :rule cong :premises (@p399 @p411) :args (@t35)) % 0.63/0.87 (step @p413 :rule nary_cong :premises (@p412 @p408) :args (@t36)) % 0.63/0.87 (step @p414 :rule eq-symm :args (@t23 @t4)) % 0.63/0.87 (step @p415 :rule symm :premises (@p39)) % 0.63/0.87 (step @p416 :rule alpha_equiv :args (@t37 @t162 (@list @t52))) % 0.63/0.87 (step @p417 :rule trans :premises (@p416 @p415)) % 0.63/0.87 (step @p418 :rule cong :premises (@p399 @p417) :args (@t38)) % 0.63/0.87 (step @p419 :rule nary_cong :premises (@p418 @p414) :args (@t39)) % 0.63/0.87 (step @p420 :rule nary_cong :premises (@p419 @p413 @p407 @p401) :args (@t40)) % 0.63/0.87 (step @p421 :rule cong :premises (@p420) :args (@t42)) % 0.63/0.87 (step @p422 :rule ho_cong :premises (@p367 @p421)) % 0.63/0.87 (step @p423 :rule cong :premises (@p422) :args (@t44)) % 0.63/0.87 (step @p424 :rule trans :premises (@p4 @p423)) % 0.63/0.87 (step @p425 :rule ho_cong :premises (@p424 @p8)) % 0.63/0.87 (step @p426 :rule ho_cong :premises (@p425 @p352)) % 0.63/0.87 (step @p427 :rule ho_cong :premises (@p426 @p350)) % 0.63/0.87 (step @p428 :rule ho_cong :premises (@p427 @p348)) % 0.63/0.87 (step @p429 :rule ho_cong :premises (@p428 @p345)) % 0.63/0.87 (step @p430 :rule cong :premises (@p429 @p345) :args (@t15)) % 0.63/0.87 (step @p431 :rule cong :premises (@p429 @p348) :args (@t16)) % 0.63/0.87 (step @p432 :rule cong :premises (@p429 @p350) :args (@t17)) % 0.63/0.87 (step @p433 :rule cong :premises (@p429 @p352) :args (@t18)) % 0.63/0.87 (step @p434 :rule nary_cong :premises (@p433 @p432 @p431 @p430) :args (@t19)) % 0.63/0.87 (step @p435 :rule cong :premises (@p434) :args (@t21)) % 0.63/0.87 (step @p436 :rule cong :premises (@p435) :args (@t22)) % 0.63/0.87 (step @p437 :rule trans :premises (@p436 @p394)) % 0.63/0.87 (step @p438 :rule eq_resolve :premises (@p2 @p437)) % 0.63/0.87 (step @p439 :rule refl :args (@t180)) % 0.63/0.87 (step @p440 :rule bool-double-not-elim :args (@t122)) % 0.63/0.87 (step @p441 :rule nary_cong :premises (@p440 @p439) :args ((or (not @t181) @t180))) % 0.63/0.87 (step @p442 :rule eq-refl :args (@t182)) % 0.63/0.87 (step @p443 :rule refl :args (@t163)) % 0.63/0.87 (step @p444 :rule nary_cong :premises (@p25 @p443) :args (@t164)) % 0.63/0.87 (step @p445 :rule refl :args (@t165)) % 0.63/0.87 (step @p446 :rule nary_cong :premises (@p278 @p445) :args (@t166)) % 0.63/0.87 (step @p447 :rule refl :args (@t167)) % 0.63/0.87 (step @p448 :rule nary_cong :premises (@p298 @p447) :args (@t168)) % 0.63/0.87 (step @p449 :rule refl :args (@t169)) % 0.63/0.87 (step @p450 :rule nary_cong :premises (@p258 @p449) :args (@t170)) % 0.63/0.87 (step @p451 :rule nary_cong :premises (@p450 @p448 @p446 @p444) :args (@t171)) % 0.63/0.87 (step @p452 :rule cong :premises (@p451) :args (@t172)) % 0.63/0.87 (step @p453 :rule skolem_intro :args (@t173)) % 0.63/0.87 (step @p454 :rule trans :premises (@p453 @p452)) % 0.63/0.87 (step @p455 :rule refl :args (@t182)) % 0.63/0.87 (step @p456 :rule cong :premises (@p455 @p454) :args ((= @t182 @t173))) % 0.63/0.87 (step @p457 :rule trans :premises (@p456 @p442)) % 0.63/0.87 (step @p458 :rule true_elim :premises (@p457)) % 0.63/0.87 (step @p459 :rule cong :premises (@p458) :args (@t183)) % 0.63/0.87 (step @p460 :rule refl :args (@t132)) % 0.63/0.87 (step @p461 :rule cong :premises (@p460 @p459) :args (@t184)) % 0.63/0.87 (step @p462 :rule refl :args (@t126)) % 0.63/0.87 (step @p463 :rule cong :premises (@p462 @p459) :args (@t185)) % 0.63/0.87 (step @p464 :rule refl :args (@t129)) % 0.63/0.87 (step @p465 :rule cong :premises (@p464 @p459) :args (@t186)) % 0.63/0.87 (step @p466 :rule refl :args (@t123)) % 0.63/0.87 (step @p467 :rule cong :premises (@p466 @p459) :args (@t187)) % 0.63/0.87 (step @p468 :rule nary_cong :premises (@p467 @p465 @p463 @p461) :args (@t188)) % 0.63/0.87 (step @p469 :rule cong :premises (@p468) :args (@t189)) % 0.63/0.87 (step @p470 :rule refl :args (@t181)) % 0.63/0.87 (step @p471 :rule cong :premises (@p470 @p469) :args ((=> @t181 @t189))) % 0.63/0.87 (step @p472 :rule eq-symm :args (@t132 @t23)) % 0.63/0.87 (step @p473 :rule refl :args (@t50)) % 0.63/0.87 (step @p474 :rule nary_cong :premises (@p473 @p472) :args (@t190)) % 0.63/0.87 (step @p475 :rule eq-symm :args (@t126 @t23)) % 0.63/0.87 (step @p476 :rule refl :args (@t104)) % 0.63/0.87 (step @p477 :rule nary_cong :premises (@p476 @p475) :args (@t191)) % 0.63/0.87 (step @p478 :rule eq-symm :args (@t129 @t23)) % 0.63/0.87 (step @p479 :rule refl :args (@t107)) % 0.63/0.87 (step @p480 :rule nary_cong :premises (@p479 @p478) :args (@t192)) % 0.63/0.87 (step @p481 :rule eq-symm :args (@t123 @t23)) % 0.63/0.87 (step @p482 :rule refl :args (@t101)) % 0.63/0.87 (step @p483 :rule nary_cong :premises (@p482 @p481) :args (@t193)) % 0.63/0.87 (step @p484 :rule nary_cong :premises (@p483 @p480 @p477 @p474) :args (@t194)) % 0.63/0.87 (step @p485 :rule cong :premises (@p484) :args (@t195)) % 0.63/0.87 (step @p486 :rule cong :premises (@p485) :args (@t196)) % 0.63/0.87 (step @p487 :rule cong :premises (@p460 @p486) :args (@t197)) % 0.63/0.87 (step @p488 :rule cong :premises (@p462 @p486) :args (@t198)) % 0.63/0.87 (step @p489 :rule cong :premises (@p464 @p486) :args (@t199)) % 0.63/0.87 (step @p490 :rule cong :premises (@p466 @p486) :args (@t200)) % 0.63/0.87 (step @p491 :rule nary_cong :premises (@p490 @p489 @p488 @p487) :args (@t201)) % 0.63/0.87 (step @p492 :rule cong :premises (@p491) :args (@t202)) % 0.63/0.87 (step @p493 :rule cong :premises (@p470 @p492) :args ((=> @t181 @t202))) % 0.63/0.87 (step @p494 :rule trans :premises (@p493 @p471)) % 0.63/0.87 (assume-push @p1546 @t181) % 0.63/0.87 (step @p496 :rule skolemize :premises (@p438)) % 0.63/0.87 (step-pop @p1547 :rule scope :premises (@p496)) % 0.63/0.87 (step @p497 :rule process_scope :premises (@p1547) :args (@t202)) % 0.63/0.87 (step @p499 :rule eq_resolve :premises (@p497 @p494)) % 0.63/0.87 (step @p500 :rule implies_elim :premises (@p499)) % 0.63/0.87 (step @p501 :rule eq_resolve :premises (@p500 @p441)) % 0.63/0.87 (step @p502 :rule chain_m_resolution :premises (@p501 @p438) :args (@t180 @t203 (@list @t122))) % 0.63/0.87 (step @p503 :rule cnf_or_neg :args (@t179 3)) % 0.63/0.87 (step @p504 :rule chain_m_resolution :premises (@p503 @p502) :args ((not @t175) @t203 @t204)) % 0.63/0.87 (step @p505 :rule quant-merge-prenex :args ((= (forall @t9 @t212) @t210))) % 0.63/0.87 (step @p506 :rule refl :args (@t206)) % 0.63/0.87 (step @p507 :rule alpha_equiv :args (@t213 (@list @t207) (@list @t4))) % 0.63/0.87 (step @p508 :rule nary_cong :premises (@p507 @p506) :args (@t214)) % 0.63/0.87 (step @p509 :rule quant-miniscope-or :args ((= @t212 @t214))) % 0.63/0.87 (step @p510 :rule trans :premises (@p509 @p508)) % 0.63/0.87 (step @p511 :rule symm :premises (@p510)) % 0.63/0.87 (step @p512 :rule cong :premises (@p511) :args ((forall @t9 (or @t216 @t206)))) % 0.63/0.87 (step @p513 :rule trans :premises (@p512 @p505)) % 0.63/0.87 (step @p514 :rule refl :args ((_ @t1 @t2))) % 0.63/0.87 (step @p515 :rule refl :args (@t205)) % 0.63/0.87 (step @p516 :rule cong :premises (@p515) :args (@t206)) % 0.63/0.87 (step @p517 :rule trans :premises (@p516 @p514)) % 0.63/0.87 (step @p518 :rule refl :args (@t1)) % 0.63/0.87 (step @p519 :rule ho_cong :premises (@p518 @p515)) % 0.63/0.87 (step @p520 :rule cong :premises (@p519 @p517) :args ((= (_ @t1 @t205) @t206))) % 0.63/0.87 (step @p521 :rule symm :premises (@p520)) % 0.63/0.87 (step @p522 :rule refl :args (@t3)) % 0.63/0.87 (step @p523 :rule eq_resolve :premises (@p522 @p521)) % 0.63/0.87 (step @p524 :rule refl :args (@t2)) % 0.63/0.87 (step @p525 :rule cong :premises (@p524 @p515) :args ((= @t2 @t205))) % 0.63/0.87 (step @p526 :rule symm :premises (@p525)) % 0.63/0.87 (step @p527 :rule eq_resolve :premises (@p524 @p526)) % 0.63/0.87 (step @p528 :rule ho_cong :premises (@p518 @p527)) % 0.63/0.87 (step @p529 :rule trans :premises (@p528 @p523)) % 0.63/0.87 (step @p530 :rule refl :args (@t216)) % 0.63/0.87 (step @p531 :rule nary_cong :premises (@p530 @p529) :args (@t217)) % 0.63/0.87 (step @p532 :rule cong :premises (@p531) :args ((forall @t9 @t217))) % 0.63/0.87 (step @p533 :rule trans :premises (@p532 @p513)) % 0.63/0.87 (step @p534 :rule bool-double-not-elim :args (@t216)) % 0.63/0.87 (step @p535 :rule nary_cong :premises (@p534 @p522) :args ((or (not @t218) @t3))) % 0.63/0.87 (step @p536 :rule bool-impl-elim :args (@t218 @t3)) % 0.63/0.87 (step @p537 :rule trans :premises (@p536 @p535)) % 0.63/0.87 (step @p538 :rule cong :premises (@p537) :args ((forall @t9 (=> @t218 @t3)))) % 0.63/0.87 (step @p539 :rule trans :premises (@p538 @p533)) % 0.63/0.87 (step @p540 :rule refl :args (@t3)) % 0.63/0.87 (step @p541 :rule refl :args (@t215)) % 0.63/0.87 (step @p542 :rule refl :args (@t5)) % 0.63/0.87 (step @p543 :rule cong :premises (@p542 @p541) :args ((= @t5 @t215))) % 0.63/0.87 (step @p544 :rule symm :premises (@p543)) % 0.63/0.87 (step @p545 :rule eq_resolve :premises (@p542 @p544)) % 0.63/0.87 (step @p546 :rule cong :premises (@p545) :args (@t219)) % 0.63/0.87 (step @p547 :rule cong :premises (@p546) :args (@t220)) % 0.63/0.87 (step @p548 :rule cong :premises (@p547) :args (@t221)) % 0.63/0.87 (step @p549 :rule exists-elim :args ((= @t7 @t221))) % 0.63/0.87 (step @p550 :rule trans :premises (@p549 @p548)) % 0.63/0.87 (step @p551 :rule cong :premises (@p550 @p540) :args (@t8)) % 0.63/0.87 (step @p552 :rule cong :premises (@p551) :args (@t10)) % 0.63/0.87 (step @p553 :rule trans :premises (@p552 @p539)) % 0.63/0.87 (step @p554 :rule eq_resolve :premises (@p1 @p553)) % 0.63/0.87 (step @p555 :rule eq-refl :args (@t224)) % 0.63/0.87 (step @p556 :rule skolem_intro :args (@t225)) % 0.63/0.87 (step @p557 :rule refl :args (@t224)) % 0.63/0.87 (step @p558 :rule cong :premises (@p557 @p556) :args ((= @t224 @t225))) % 0.63/0.87 (step @p559 :rule trans :premises (@p558 @p555)) % 0.63/0.87 (step @p560 :rule true_elim :premises (@p559)) % 0.63/0.87 (step @p561 :rule cong :premises (@p560) :args (@t226)) % 0.63/0.87 (step @p562 :rule cong :premises (@p460 @p561) :args (@t227)) % 0.63/0.87 (step @p563 :rule refl :args (@t210)) % 0.63/0.87 (step @p564 :rule cong :premises (@p563 @p562) :args ((=> @t210 @t227))) % 0.63/0.87 (step @p565 :rule aci_norm :args ((= (or false @t227) @t227))) % 0.63/0.87 (step @p566 :rule eq-symm :args (@t226 @t132)) % 0.63/0.87 (step @p567 :rule beta-reduce :args ((= (_ @t228 @t226) (= @t226 @t132)))) % 0.63/0.87 (step @p568 :rule trans :premises (@p567 @p566)) % 0.63/0.87 (step @p569 :rule eq-symm :args (@t222 @t132)) % 0.63/0.87 (step @p570 :rule cong :premises (@p569) :args (@t228)) % 0.63/0.87 (step @p571 :rule cong :premises (@p570) :args (@t229)) % 0.63/0.87 (step @p572 :rule cong :premises (@p571) :args (@t230)) % 0.63/0.87 (step @p573 :rule trans :premises (@p572 @p568)) % 0.63/0.87 (step @p574 :rule eq-refl :args (@t132)) % 0.63/0.87 (step @p575 :rule beta-reduce :args ((= @t231 (= @t132 @t132)))) % 0.63/0.87 (step @p576 :rule trans :premises (@p575 @p574)) % 0.63/0.87 (step @p577 :rule cong :premises (@p576) :args (@t232)) % 0.63/0.87 (step @p578 :rule trans :premises (@p577 @p167)) % 0.63/0.87 (step @p579 :rule nary_cong :premises (@p578 @p573) :args (@t233)) % 0.63/0.87 (step @p580 :rule trans :premises (@p579 @p565)) % 0.63/0.87 (step @p581 :rule cong :premises (@p563 @p580) :args ((=> @t210 @t233))) % 0.63/0.87 (assume-push @p1548 @t210) % 0.63/0.87 (step @p583 :rule instantiate :premises (@p554) :args ((@list @t228 @t132))) % 0.63/0.87 (step-pop @p1549 :rule scope :premises (@p583)) % 0.63/0.87 (step @p584 :rule process_scope :premises (@p1549) :args (@t233)) % 0.63/0.87 (step @p586 :rule eq_resolve :premises (@p584 @p581)) % 0.63/0.87 (step @p587 :rule eq_resolve :premises (@p586 @p564)) % 0.63/0.87 (step @p588 :rule implies_elim :premises (@p587)) % 0.63/0.87 (step @p589 :rule chain_m_resolution :premises (@p588 @p554) :args (@t235 @t236 @t237)) % 0.63/0.87 (assume-push @p1550 @t235) % 0.63/0.87 (assume-push @p1551 @t238) % 0.63/0.87 (assume-push @p1552 @t238) % 0.63/0.87 (assume-push @p1553 @t235) % 0.63/0.87 (step @p594 :rule symm :premises (@p1551)) % 0.63/0.87 (step @p595 :rule cong :premises (@p594) :args (@t234)) % 0.63/0.87 (step @p596 :rule trans :premises (@p589 @p595)) % 0.63/0.87 (step-pop @p1554 :rule scope :premises (@p596)) % 0.63/0.87 (step-pop @p1555 :rule scope :premises (@p1554)) % 0.63/0.87 (step @p597 :rule process_scope :premises (@p1555) :args (@t175)) % 0.63/0.87 (step @p600 :rule and_intro :premises (@p1551 @p589)) % 0.63/0.87 (step @p601 :rule modus_ponens :premises (@p600 @p597)) % 0.63/0.87 (step-pop @p1556 :rule scope :premises (@p601)) % 0.63/0.87 (step-pop @p1557 :rule scope :premises (@p1556)) % 0.63/0.87 (step @p602 :rule process_scope :premises (@p1557) :args (@t175)) % 0.63/0.87 (step @p605 :rule implies_elim :premises (@p602)) % 0.63/0.87 (step @p606 :rule cnf_and_neg :args (@t239)) % 0.63/0.87 (step @p607 :rule resolution :premises (@p606 @p605) :args (true @t239)) % 0.63/0.87 (step @p608 :rule reordering :premises (@p607) :args ((or @t175 (not @t235) @t240))) % 0.63/0.87 (step @p609 :rule chain_m_resolution :premises (@p608 @p589 @p504) :args (@t240 @t241 (@list @t235 @t175))) % 0.63/0.87 (step @p610 :rule eq-symm :args (@t242 @t133)) % 0.63/0.87 (step @p611 :rule eq-refl :args (@t133)) % 0.63/0.87 (step @p612 :rule beta-reduce :args ((= @t243 @t133))) % 0.63/0.87 (step @p613 :rule refl :args (@t133)) % 0.63/0.87 (step @p614 :rule cong :premises (@p613 @p612) :args ((= @t133 @t243))) % 0.63/0.87 (step @p615 :rule trans :premises (@p614 @p611)) % 0.63/0.87 (step @p616 :rule eq-symm :args (@t243 @t133)) % 0.63/0.87 (step @p617 :rule trans :premises (@p616 @p615)) % 0.63/0.87 (step @p618 :rule refl :args (@t110)) % 0.63/0.87 (step @p619 :rule ho_cong :premises (@p556 @p618)) % 0.63/0.87 (step @p620 :rule cong :premises (@p619 @p613) :args ((= @t244 @t133))) % 0.63/0.87 (step @p621 :rule trans :premises (@p620 @p617)) % 0.63/0.87 (step @p622 :rule true_elim :premises (@p621)) % 0.63/0.87 (step @p623 :rule eq-refl :args (@t245)) % 0.63/0.87 (step @p624 :rule eq-symm :args (@t110 @t132)) % 0.63/0.87 (step @p625 :rule nary_cong :premises (@p473 @p624) :args (@t246)) % 0.63/0.87 (step @p626 :rule eq-symm :args (@t110 @t126)) % 0.63/0.87 (step @p627 :rule nary_cong :premises (@p476 @p626) :args (@t247)) % 0.63/0.87 (step @p628 :rule eq-symm :args (@t110 @t129)) % 0.63/0.87 (step @p629 :rule nary_cong :premises (@p479 @p628) :args (@t248)) % 0.63/0.87 (step @p630 :rule eq-symm :args (@t110 @t123)) % 0.63/0.87 (step @p631 :rule nary_cong :premises (@p482 @p630) :args (@t249)) % 0.63/0.87 (step @p632 :rule nary_cong :premises (@p631 @p629 @p627 @p625) :args (@t250)) % 0.63/0.87 (step @p633 :rule beta-reduce :args ((= @t251 @t250))) % 0.63/0.87 (step @p634 :rule trans :premises (@p633 @p632)) % 0.63/0.87 (step @p635 :rule refl :args (@t245)) % 0.63/0.87 (step @p636 :rule cong :premises (@p635 @p634) :args ((= @t245 @t251))) % 0.63/0.87 (step @p637 :rule trans :premises (@p636 @p623)) % 0.63/0.87 (step @p638 :rule eq-symm :args (@t251 @t245)) % 0.63/0.87 (step @p639 :rule trans :premises (@p638 @p637)) % 0.63/0.87 (step @p640 :rule nary_cong :premises (@p25 @p613) :args (@t134)) % 0.63/0.87 (step @p641 :rule refl :args (@t127)) % 0.63/0.87 (step @p642 :rule nary_cong :premises (@p278 @p641) :args (@t128)) % 0.63/0.87 (step @p643 :rule refl :args (@t130)) % 0.63/0.87 (step @p644 :rule nary_cong :premises (@p298 @p643) :args (@t131)) % 0.63/0.87 (step @p645 :rule refl :args (@t124)) % 0.63/0.87 (step @p646 :rule nary_cong :premises (@p258 @p645) :args (@t125)) % 0.63/0.87 (step @p647 :rule nary_cong :premises (@p646 @p644 @p642 @p640) :args (@t242)) % 0.63/0.87 (step @p648 :rule ho_cong :premises (@p454 @p618)) % 0.63/0.87 (step @p649 :rule cong :premises (@p648 @p647) :args ((= @t252 @t242))) % 0.63/0.87 (step @p650 :rule trans :premises (@p649 @p639)) % 0.63/0.87 (step @p651 :rule true_elim :premises (@p650)) % 0.63/0.87 (step @p652 :rule cong :premises (@p651 @p622) :args (@t253)) % 0.63/0.87 (step @p653 :rule trans :premises (@p652 @p610)) % 0.63/0.87 (step @p654 :rule cong :premises (@p653) :args (@t254)) % 0.63/0.87 (step @p655 :rule refl :args (@t238)) % 0.63/0.87 (step @p656 :rule nary_cong :premises (@p655 @p654) :args (@t255)) % 0.63/0.87 ; WARNING: add trust step for TRUST % 0.63/0.87 ; trust TRUST THEORY_LEMMA % 0.63/0.87 (step @p657 :rule trust :premises () :args (@t255)) % 0.63/0.87 (step @p658 :rule eq_resolve :premises (@p657 @p656)) % 0.63/0.87 (step @p659 :rule chain_m_resolution :premises (@p658 @p609) :args ((not @t256) @t203 (@list @t238))) % 0.63/0.87 (step @p660 :rule cnf_equiv_neg2 :args (@t256)) % 0.63/0.87 (step @p661 :rule cnf_or_neg :args (@t242 3)) % 0.63/0.87 (step @p662 :rule chain_m_resolution :premises (@p661 @p660 @p659 @p309) :args ((or @t136 @t135) @t257 (@list @t242 @t256 @t134))) % 0.63/0.87 (step @p663 :rule cnf_and_pos :args (@t134 1)) % 0.63/0.87 (step @p664 :rule reordering :premises (@p663) :args ((or @t133 (not @t134)))) % 0.63/0.87 (step @p665 :rule cnf_equiv_neg1 :args (@t256)) % 0.63/0.87 (step @p666 :rule reordering :premises (@p665) :args ((or @t133 @t242 @t256))) % 0.63/0.87 (step @p667 :rule cnf_or_pos :args (@t242)) % 0.63/0.87 (step @p668 :rule reordering :premises (@p667) :args ((or @t125 @t131 @t128 @t134 (not @t242)))) % 0.63/0.87 (step @p669 :rule chain_m_resolution :premises (@p668 @p666 @p659 @p664 @p662 @p307 @p305 @p303 @p301 @p281 @p261 @p241 @p216 @p165 @p140 @p76 @p50 @p27) :args (@t63 (@list false true true true true true true true true true true true true true true true false) (@list @t242 @t256 @t134 @t133 @t131 @t128 @t125 @t108 @t105 @t102 @t98 @t90 @t81 @t71 @t61 @t55 @t51))) % 0.63/0.87 (step @p670 :rule bool-eq-true :args (@t260)) % 0.63/0.87 (step @p671 :rule beta-reduce :args ((= (_ @t47 @t258) true))) % 0.63/0.87 (step @p672 :rule skolem_intro :args (@t259)) % 0.63/0.87 (step @p673 :rule ho_cong :premises (@p15 @p672)) % 0.63/0.87 (step @p674 :rule bool-eq-true :args ((_ @t48 @t259))) % 0.63/0.87 (step @p675 :rule trans :premises (@p674 @p673 @p671)) % 0.63/0.87 (step @p676 :rule true_elim :premises (@p675)) % 0.63/0.87 (step @p677 :rule eq-refl :args (@t258)) % 0.63/0.87 (step @p678 :rule refl :args (@t258)) % 0.63/0.87 (step @p679 :rule cong :premises (@p678 @p672) :args ((= @t258 @t259))) % 0.63/0.87 (step @p680 :rule trans :premises (@p679 @p677)) % 0.63/0.87 (step @p681 :rule true_elim :premises (@p680)) % 0.63/0.87 (step @p682 :rule cong :premises (@p681) :args (@t261)) % 0.63/0.87 (step @p683 :rule trans :premises (@p682 @p676)) % 0.63/0.87 (step @p684 :rule cong :premises (@p681) :args (@t262)) % 0.63/0.87 (step @p685 :rule cong :premises (@p684 @p683) :args (@t263)) % 0.63/0.87 (step @p686 :rule trans :premises (@p685 @p670)) % 0.63/0.87 (step @p687 :rule cong :premises (@p686) :args (@t264)) % 0.63/0.87 (step @p688 :rule refl :args (@t49)) % 0.63/0.87 (step @p689 :rule nary_cong :premises (@p688 @p687) :args (@t265)) % 0.63/0.87 ; trust TRUST THEORY_LEMMA % 0.63/0.87 (step @p690 :rule trust :premises () :args (@t265)) % 0.63/0.87 (step @p691 :rule eq_resolve :premises (@p690 @p689)) % 0.63/0.87 (step @p692 :rule chain_m_resolution :premises (@p691 @p669) :args (@t266 @t203 @t267)) % 0.63/0.87 (step @p693 :rule cnf_equiv_pos1 :args (@t268)) % 0.63/0.87 (step @p694 :rule reordering :premises (@p693) :args ((or @t260 @t269 (not @t268)))) % 0.63/0.87 (step @p695 :rule eq-symm :args (@t260 @t259)) % 0.63/0.87 (step @p696 :rule refl :args (@t81)) % 0.63/0.87 (step @p697 :rule cong :premises (@p696 @p695) :args (@t270)) % 0.63/0.87 ; trust TRUST THEORY_LEMMA % 0.63/0.87 (step @p698 :rule trust :premises () :args (@t270)) % 0.63/0.87 (step @p699 :rule eq_resolve :premises (@p698 @p697)) % 0.63/0.87 (step @p700 :rule implies_elim :premises (@p699)) % 0.63/0.87 (step @p701 :rule eq-symm :args (@t273 @t272)) % 0.63/0.87 (step @p702 :rule eq-refl :args (@t271)) % 0.63/0.87 (step @p703 :rule bool-double-not-elim :args (@t271)) % 0.63/0.87 (step @p704 :rule bool-eq-false :args (@t271)) % 0.63/0.87 (step @p705 :rule cong :premises (@p704) :args (@t275)) % 0.63/0.87 (step @p706 :rule trans :premises (@p705 @p703)) % 0.63/0.87 (step @p707 :rule aci_norm :args ((= (and @t275 true) @t275))) % 0.63/0.87 (step @p708 :rule ite-then-false :args (@t274 true)) % 0.63/0.87 (step @p709 :rule trans :premises (@p708 @p707)) % 0.63/0.87 (step @p710 :rule trans :premises (@p709 @p706)) % 0.63/0.87 (step @p711 :rule beta-reduce :args ((= @t276 (ite @t274 false true)))) % 0.63/0.87 (step @p712 :rule trans :premises (@p711 @p710)) % 0.63/0.87 (step @p713 :rule refl :args (@t271)) % 0.63/0.87 (step @p714 :rule cong :premises (@p713 @p712) :args ((= @t271 @t276))) % 0.63/0.87 (step @p715 :rule trans :premises (@p714 @p702)) % 0.63/0.87 (step @p716 :rule skolem_intro :args (@t272)) % 0.63/0.87 (step @p717 :rule ho_cong :premises (@p135 @p716)) % 0.63/0.87 (step @p718 :rule cong :premises (@p716 @p717) :args ((= @t272 @t277))) % 0.63/0.87 (step @p719 :rule eq-symm :args (@t277 @t272)) % 0.63/0.87 (step @p720 :rule trans :premises (@p719 @p718 @p715)) % 0.63/0.87 (step @p721 :rule true_elim :premises (@p720)) % 0.63/0.87 (step @p722 :rule cong :premises (@p713 @p716) :args ((= @t271 @t272))) % 0.63/0.87 (step @p723 :rule trans :premises (@p722 @p702)) % 0.63/0.87 (step @p724 :rule true_elim :premises (@p723)) % 0.63/0.87 (step @p725 :rule cong :premises (@p724) :args (@t278)) % 0.63/0.87 (step @p726 :rule trans :premises (@p725 @p721)) % 0.63/0.87 (step @p727 :rule cong :premises (@p724) :args (@t279)) % 0.63/0.87 (step @p728 :rule cong :premises (@p727 @p726) :args (@t280)) % 0.63/0.87 (step @p729 :rule trans :premises (@p728 @p701)) % 0.63/0.87 (step @p730 :rule cong :premises (@p729) :args (@t281)) % 0.63/0.87 (step @p731 :rule nary_cong :premises (@p696 @p730) :args (@t282)) % 0.63/0.87 ; trust TRUST THEORY_LEMMA % 0.63/0.87 (step @p732 :rule trust :premises () :args (@t282)) % 0.63/0.87 (step @p733 :rule eq_resolve :premises (@p732 @p731)) % 0.63/0.87 (step @p734 :rule cnf_and_pos :args (@t285 0)) % 0.63/0.87 (step @p735 :rule reordering :premises (@p734) :args ((or @t105 (not @t285)))) % 0.63/0.87 (step @p736 :rule cnf_and_pos :args (@t288 0)) % 0.63/0.87 (step @p737 :rule reordering :premises (@p736) :args ((or @t105 @t289))) % 0.63/0.87 (step @p738 :rule equiv_elim2 :premises (@p299)) % 0.63/0.87 (step @p739 :rule bool-impl-false1 :args (@t290)) % 0.63/0.87 (step @p740 :rule quant-var-elim-eq :args ((= (forall @t87 (or (not (= @t84 false)) @t84)) false))) % 0.63/0.87 (step @p741 :rule refl :args (@t84)) % 0.63/0.87 (step @p742 :rule bool-eq-false :args (@t84)) % 0.63/0.87 (step @p743 :rule symm :premises (@p742)) % 0.63/0.87 (step @p744 :rule cong :premises (@p743) :args ((not @t96))) % 0.63/0.87 (step @p745 :rule bool-double-not-elim :args (@t84)) % 0.63/0.87 (step @p746 :rule symm :premises (@p745)) % 0.63/0.87 (step @p747 :rule trans :premises (@p746 @p744)) % 0.63/0.87 (step @p748 :rule nary_cong :premises (@p747 @p741) :args (@t291)) % 0.63/0.87 (step @p749 :rule aci_norm :args ((= @t84 @t291))) % 0.63/0.87 (step @p750 :rule trans :premises (@p749 @p748)) % 0.63/0.87 (step @p751 :rule cong :premises (@p750) :args ((forall @t87 @t84))) % 0.63/0.87 (step @p752 :rule trans :premises (@p751 @p740)) % 0.63/0.87 (step @p753 :rule cong :premises (@p204) :args ((not @t86))) % 0.63/0.87 (step @p754 :rule trans :premises (@p753 @p745)) % 0.63/0.87 (step @p755 :rule bool-eq-false :args (@t86)) % 0.63/0.87 (step @p756 :rule trans :premises (@p755 @p754)) % 0.63/0.87 (step @p757 :rule cong :premises (@p756) :args (@t292)) % 0.63/0.87 (step @p758 :rule trans :premises (@p757 @p752)) % 0.63/0.87 (step @p759 :rule refl :args (@t290)) % 0.63/0.87 (step @p760 :rule cong :premises (@p759 @p758) :args ((=> @t290 @t292))) % 0.63/0.87 (step @p761 :rule trans :premises (@p760 @p739)) % 0.63/0.87 ; trust DISTINCT_VALUES % 0.63/0.87 (step @p762 :rule trust :premises () :args (@t294)) % 0.63/0.87 (step @p763 :rule false_intro :premises (@p762)) % 0.63/0.87 (step @p764 :rule cong :premises (@p206 @p40) :args (@t293)) % 0.63/0.87 (step @p765 :rule trans :premises (@p764 @p763)) % 0.63/0.87 (step @p766 :rule cong :premises (@p765) :args (@t294)) % 0.63/0.87 (step @p767 :rule trans :premises (@p766 @p36)) % 0.63/0.87 (step @p768 :rule cong :premises (@p211 @p45) :args (@t290)) % 0.63/0.87 (step @p769 :rule cong :premises (@p768) :args (@t295)) % 0.63/0.87 (step @p770 :rule trans :premises (@p761 @p769 @p767)) % 0.63/0.87 (step @p771 :rule true_elim :premises (@p770)) % 0.63/0.87 (step @p772 :rule eq_resolve :premises (@p771 @p761)) % 0.63/0.87 (step @p773 :rule bool-double-not-elim :args (@t290)) % 0.63/0.87 (step @p774 :rule nary_cong :premises (@p217 @p773 @p51) :args ((or @t99 (not @t295) @t62))) % 0.63/0.87 (assume-push @p1558 @t98) % 0.63/0.87 (assume-push @p1559 @t295) % 0.63/0.87 (assume-push @p1560 @t295) % 0.63/0.87 (assume-push @p1561 @t98) % 0.63/0.87 (step @p779 :rule false_intro :premises (@p772)) % 0.63/0.87 (step @p60 :rule refl :args (@t54)) % 0.63/0.87 (step @p780 :rule cong :premises (@p1558 @p60) :args (@t61)) % 0.63/0.87 (step @p781 :rule trans :premises (@p780 @p779)) % 0.63/0.87 (step @p782 :rule false_elim :premises (@p781)) % 0.63/0.87 (step-pop @p1562 :rule scope :premises (@p782)) % 0.63/0.87 (step-pop @p1563 :rule scope :premises (@p1562)) % 0.63/0.87 (step @p783 :rule process_scope :premises (@p1563) :args (@t62)) % 0.63/0.87 (step @p786 :rule and_intro :premises (@p772 @p1558)) % 0.63/0.87 (step @p787 :rule modus_ponens :premises (@p786 @p783)) % 0.63/0.87 (step-pop @p1564 :rule scope :premises (@p787)) % 0.63/0.87 (step-pop @p1565 :rule scope :premises (@p1564)) % 0.63/0.87 (step @p788 :rule process_scope :premises (@p1565) :args (@t62)) % 0.63/0.87 (step @p791 :rule implies_elim :premises (@p788)) % 0.63/0.87 (step @p792 :rule cnf_and_neg :args (@t296)) % 0.63/0.87 (step @p793 :rule resolution :premises (@p792 @p791) :args (true @t296)) % 0.63/0.87 (step @p794 :rule eq_resolve :premises (@p793 @p774)) % 0.63/0.87 (step @p795 :rule reordering :premises (@p794) :args ((or @t99 @t62 @t290))) % 0.63/0.87 (step @p796 :rule cnf_and_pos :args (@t298 0)) % 0.63/0.87 (step @p797 :rule reordering :premises (@p796) :args ((or @t102 (not @t298)))) % 0.63/0.87 (step @p798 :rule cnf_and_neg :args (@t300)) % 0.63/0.87 (step @p799 :rule reordering :premises (@p798) :args ((or @t109 @t300 @t301))) % 0.63/0.87 (step @p800 :rule cnf_or_neg :args (@t179 1)) % 0.63/0.87 (step @p801 :rule chain_m_resolution :premises (@p800 @p502) :args ((not @t177) @t203 @t204)) % 0.63/0.87 (step @p802 :rule eq-refl :args (@t302)) % 0.63/0.87 (step @p803 :rule skolem_intro :args (@t303)) % 0.63/0.87 (step @p804 :rule refl :args (@t302)) % 0.63/0.87 (step @p805 :rule cong :premises (@p804 @p803) :args ((= @t302 @t303))) % 0.63/0.87 (step @p806 :rule trans :premises (@p805 @p802)) % 0.63/0.87 (step @p807 :rule true_elim :premises (@p806)) % 0.63/0.87 (step @p808 :rule cong :premises (@p807) :args (@t304)) % 0.63/0.87 (step @p809 :rule cong :premises (@p464 @p808) :args (@t305)) % 0.63/0.87 (step @p810 :rule cong :premises (@p563 @p809) :args ((=> @t210 @t305))) % 0.63/0.87 (step @p811 :rule aci_norm :args ((= (or false @t305) @t305))) % 0.63/0.87 (step @p812 :rule eq-symm :args (@t304 @t129)) % 0.63/0.87 (step @p813 :rule beta-reduce :args ((= (_ @t306 @t304) (= @t304 @t129)))) % 0.63/0.87 (step @p814 :rule trans :premises (@p813 @p812)) % 0.63/0.87 (step @p815 :rule eq-symm :args (@t222 @t129)) % 0.63/0.87 (step @p816 :rule cong :premises (@p815) :args (@t306)) % 0.63/0.87 (step @p817 :rule cong :premises (@p816) :args (@t307)) % 0.63/0.87 (step @p818 :rule cong :premises (@p817) :args (@t308)) % 0.63/0.87 (step @p819 :rule trans :premises (@p818 @p814)) % 0.63/0.87 (step @p820 :rule eq-refl :args (@t129)) % 0.63/0.87 (step @p821 :rule beta-reduce :args ((= @t309 (= @t129 @t129)))) % 0.63/0.87 (step @p822 :rule trans :premises (@p821 @p820)) % 0.63/0.87 (step @p823 :rule cong :premises (@p822) :args (@t310)) % 0.63/0.87 (step @p824 :rule trans :premises (@p823 @p167)) % 0.63/0.87 (step @p825 :rule nary_cong :premises (@p824 @p819) :args (@t311)) % 0.63/0.87 (step @p826 :rule trans :premises (@p825 @p811)) % 0.63/0.87 (step @p827 :rule cong :premises (@p563 @p826) :args ((=> @t210 @t311))) % 0.63/0.87 (assume-push @p1566 @t210) % 0.63/0.87 (step @p829 :rule instantiate :premises (@p554) :args ((@list @t306 @t129))) % 0.63/0.87 (step-pop @p1567 :rule scope :premises (@p829)) % 0.63/0.87 (step @p830 :rule process_scope :premises (@p1567) :args (@t311)) % 0.63/0.87 (step @p832 :rule eq_resolve :premises (@p830 @p827)) % 0.63/0.87 (step @p833 :rule eq_resolve :premises (@p832 @p810)) % 0.63/0.87 (step @p834 :rule implies_elim :premises (@p833)) % 0.63/0.87 (step @p835 :rule chain_m_resolution :premises (@p834 @p554) :args (@t313 @t236 @t237)) % 0.63/0.87 (assume-push @p1568 @t313) % 0.63/0.87 (assume-push @p1569 @t314) % 0.63/0.87 (assume-push @p1570 @t314) % 0.63/0.87 (assume-push @p1571 @t313) % 0.63/0.87 (step @p840 :rule symm :premises (@p1569)) % 0.63/0.87 (step @p841 :rule cong :premises (@p840) :args (@t312)) % 0.63/0.87 (step @p842 :rule trans :premises (@p835 @p841)) % 0.63/0.87 (step-pop @p1572 :rule scope :premises (@p842)) % 0.63/0.87 (step-pop @p1573 :rule scope :premises (@p1572)) % 0.63/0.87 (step @p843 :rule process_scope :premises (@p1573) :args (@t177)) % 0.63/0.87 (step @p846 :rule and_intro :premises (@p1569 @p835)) % 0.63/0.87 (step @p847 :rule modus_ponens :premises (@p846 @p843)) % 0.63/0.87 (step-pop @p1574 :rule scope :premises (@p847)) % 0.63/0.87 (step-pop @p1575 :rule scope :premises (@p1574)) % 0.63/0.87 (step @p848 :rule process_scope :premises (@p1575) :args (@t177)) % 0.63/0.87 (step @p851 :rule implies_elim :premises (@p848)) % 0.63/0.87 (step @p852 :rule cnf_and_neg :args (@t315)) % 0.63/0.87 (step @p853 :rule resolution :premises (@p852 @p851) :args (true @t315)) % 0.63/0.87 (step @p854 :rule reordering :premises (@p853) :args ((or @t177 (not @t313) @t316))) % 0.63/0.87 (step @p855 :rule chain_m_resolution :premises (@p854 @p835 @p801) :args (@t316 @t241 (@list @t313 @t177))) % 0.63/0.87 (step @p856 :rule eq-symm :args (@t319 @t299)) % 0.63/0.87 (step @p857 :rule eq-refl :args (@t299)) % 0.63/0.87 (step @p858 :rule beta-reduce :args ((= @t320 @t299))) % 0.63/0.87 (step @p859 :rule refl :args (@t299)) % 0.63/0.87 (step @p860 :rule cong :premises (@p859 @p858) :args ((= @t299 @t320))) % 0.63/0.87 (step @p861 :rule trans :premises (@p860 @p857)) % 0.63/0.87 (step @p862 :rule eq-symm :args (@t320 @t299)) % 0.63/0.87 (step @p863 :rule trans :premises (@p862 @p861)) % 0.63/0.87 (step @p864 :rule refl :args (@t283)) % 0.63/0.87 (step @p865 :rule ho_cong :premises (@p803 @p864)) % 0.63/0.87 (step @p866 :rule cong :premises (@p865 @p859) :args ((= @t321 @t299))) % 0.63/0.87 (step @p867 :rule trans :premises (@p866 @p863)) % 0.63/0.87 (step @p868 :rule true_elim :premises (@p867)) % 0.63/0.87 (step @p869 :rule eq-refl :args (@t322)) % 0.63/0.87 (step @p870 :rule eq-symm :args (@t283 @t132)) % 0.63/0.87 (step @p871 :rule nary_cong :premises (@p473 @p870) :args (@t323)) % 0.63/0.87 (step @p872 :rule eq-symm :args (@t283 @t126)) % 0.63/0.87 (step @p873 :rule nary_cong :premises (@p476 @p872) :args (@t324)) % 0.63/0.87 (step @p874 :rule eq-symm :args (@t283 @t129)) % 0.63/0.87 (step @p875 :rule nary_cong :premises (@p479 @p874) :args (@t325)) % 0.63/0.87 (step @p876 :rule eq-symm :args (@t283 @t123)) % 0.63/0.87 (step @p877 :rule nary_cong :premises (@p482 @p876) :args (@t326)) % 0.63/0.87 (step @p878 :rule nary_cong :premises (@p877 @p875 @p873 @p871) :args (@t327)) % 0.63/0.87 (step @p879 :rule beta-reduce :args ((= @t328 @t327))) % 0.63/0.87 (step @p880 :rule trans :premises (@p879 @p878)) % 0.63/0.87 (step @p881 :rule refl :args (@t322)) % 0.63/0.87 (step @p882 :rule cong :premises (@p881 @p880) :args ((= @t322 @t328))) % 0.63/0.87 (step @p883 :rule trans :premises (@p882 @p869)) % 0.63/0.87 (step @p884 :rule eq-symm :args (@t328 @t322)) % 0.63/0.87 (step @p885 :rule trans :premises (@p884 @p883)) % 0.63/0.87 (step @p886 :rule refl :args (@t317)) % 0.63/0.87 (step @p887 :rule nary_cong :premises (@p25 @p886) :args (@t318)) % 0.63/0.87 (step @p888 :rule refl :args (@t284)) % 0.63/0.87 (step @p889 :rule nary_cong :premises (@p278 @p888) :args (@t285)) % 0.63/0.87 (step @p890 :rule nary_cong :premises (@p298 @p859) :args (@t300)) % 0.63/0.87 (step @p891 :rule refl :args (@t297)) % 0.63/0.87 (step @p892 :rule nary_cong :premises (@p258 @p891) :args (@t298)) % 0.63/0.87 (step @p893 :rule nary_cong :premises (@p892 @p890 @p889 @p887) :args (@t319)) % 0.63/0.87 (step @p894 :rule ho_cong :premises (@p454 @p864)) % 0.63/0.87 (step @p895 :rule cong :premises (@p894 @p893) :args ((= @t329 @t319))) % 0.63/0.87 (step @p896 :rule trans :premises (@p895 @p885)) % 0.63/0.87 (step @p897 :rule true_elim :premises (@p896)) % 0.63/0.87 (step @p898 :rule cong :premises (@p897 @p868) :args (@t330)) % 0.63/0.87 (step @p899 :rule trans :premises (@p898 @p856)) % 0.63/0.87 (step @p900 :rule cong :premises (@p899) :args (@t331)) % 0.63/0.87 (step @p901 :rule refl :args (@t314)) % 0.63/0.87 (step @p902 :rule nary_cong :premises (@p901 @p900) :args (@t332)) % 0.63/0.87 ; trust TRUST THEORY_LEMMA % 0.63/0.87 (step @p903 :rule trust :premises () :args (@t332)) % 0.63/0.87 (step @p904 :rule eq_resolve :premises (@p903 @p902)) % 0.63/0.87 (step @p905 :rule chain_m_resolution :premises (@p904 @p855) :args ((not @t333) @t203 (@list @t314))) % 0.63/0.87 (step @p906 :rule cnf_equiv_neg2 :args (@t333)) % 0.63/0.87 (step @p907 :rule cnf_or_neg :args (@t319 1)) % 0.63/0.87 (step @p908 :rule chain_m_resolution :premises (@p907 @p906 @p905 @p799) :args ((or @t109 @t301) @t257 (@list @t319 @t333 @t300))) % 0.63/0.87 (step @p909 :rule cnf_and_pos :args (@t300 1)) % 0.63/0.87 (step @p910 :rule reordering :premises (@p909) :args ((or @t299 (not @t300)))) % 0.63/0.87 (step @p911 :rule cnf_equiv_neg1 :args (@t333)) % 0.63/0.87 (step @p912 :rule reordering :premises (@p911) :args ((or @t299 @t319 @t333))) % 0.63/0.87 (step @p913 :rule equiv_elim1 :premises (@p26)) % 0.63/0.87 (step @p914 :rule reordering :premises (@p913) :args ((or @t49 @t136))) % 0.63/0.87 (step @p915 :rule chain_m_resolution :premises (@p914 @p669) :args (@t136 @t203 @t267)) % 0.63/0.87 (step @p916 :rule cnf_and_pos :args (@t318 0)) % 0.63/0.87 (step @p917 :rule reordering :premises (@p916) :args ((or @t51 @t334))) % 0.63/0.87 (step @p918 :rule chain_m_resolution :premises (@p917 @p915) :args (@t334 @t203 @t335)) % 0.63/0.87 (step @p919 :rule cnf_or_pos :args (@t319)) % 0.63/0.87 (step @p920 :rule reordering :premises (@p919) :args ((or @t298 @t300 @t285 @t318 (not @t319)))) % 0.63/0.87 (step @p921 :rule chain_m_resolution :premises (@p920 @p918 @p912 @p905 @p910 @p908 @p797 @p261 @p795 @p772 @p738) :args ((or @t99 @t285) (@list true false true true true true true true true false) (@list @t318 @t319 @t333 @t300 @t299 @t298 @t102 @t61 @t290 @t108))) % 0.63/0.87 (step @p922 :rule eq-symm :args (@t338 @t339)) % 0.63/0.87 (step @p923 :rule eq-refl :args (@t340)) % 0.63/0.87 (step @p924 :rule bool-eq-true :args (@t336)) % 0.63/0.87 (step @p925 :rule cong :premises (@p924) :args (@t342)) % 0.63/0.87 (step @p926 :rule aci_norm :args ((= (and @t342 true) @t342))) % 0.63/0.87 (step @p927 :rule ite-then-false :args (@t341 true)) % 0.63/0.87 (step @p928 :rule trans :premises (@p927 @p926)) % 0.63/0.87 (step @p929 :rule trans :premises (@p928 @p925)) % 0.63/0.87 (step @p930 :rule beta-reduce :args ((= @t343 (ite @t341 false true)))) % 0.63/0.87 (step @p931 :rule trans :premises (@p930 @p929)) % 0.63/0.87 (step @p932 :rule refl :args (@t340)) % 0.63/0.87 (step @p933 :rule cong :premises (@p932 @p931) :args ((= @t340 @t343))) % 0.63/0.87 (step @p934 :rule trans :premises (@p933 @p923)) % 0.63/0.87 (step @p935 :rule eq-symm :args (@t343 @t340)) % 0.63/0.87 (step @p936 :rule trans :premises (@p935 @p934)) % 0.63/0.87 (step @p937 :rule skolem_intro :args (@t337)) % 0.63/0.87 (step @p938 :rule cong :premises (@p937) :args (@t339)) % 0.63/0.87 (step @p939 :rule ho_cong :premises (@p211 @p937)) % 0.63/0.87 (step @p940 :rule cong :premises (@p939 @p938) :args ((= (_ @t89 @t337) @t339))) % 0.63/0.87 (step @p941 :rule trans :premises (@p940 @p936)) % 0.63/0.87 (step @p942 :rule true_elim :premises (@p941)) % 0.63/0.87 (step @p943 :rule eq-refl :args (@t336)) % 0.63/0.87 (step @p944 :rule refl :args (@t336)) % 0.63/0.87 (step @p945 :rule cong :premises (@p944 @p937) :args ((= @t336 @t337))) % 0.63/0.87 (step @p946 :rule trans :premises (@p945 @p943)) % 0.63/0.87 (step @p947 :rule true_elim :premises (@p946)) % 0.63/0.87 (step @p948 :rule cong :premises (@p947) :args (@t344)) % 0.63/0.87 (step @p949 :rule trans :premises (@p948 @p942)) % 0.63/0.87 (step @p950 :rule cong :premises (@p947) :args (@t345)) % 0.63/0.87 (step @p951 :rule cong :premises (@p950 @p949) :args (@t346)) % 0.63/0.87 (step @p952 :rule trans :premises (@p951 @p922)) % 0.63/0.87 (step @p953 :rule cong :premises (@p952) :args (@t347)) % 0.63/0.87 (step @p954 :rule refl :args (@t98)) % 0.63/0.87 (step @p955 :rule nary_cong :premises (@p954 @p953) :args (@t348)) % 0.63/0.87 ; trust TRUST THEORY_LEMMA % 0.63/0.87 (step @p956 :rule trust :premises () :args (@t348)) % 0.63/0.87 (step @p957 :rule eq_resolve :premises (@p956 @p955)) % 0.63/0.87 (step @p958 :rule cnf_and_pos :args (@t350 0)) % 0.63/0.87 (step @p959 :rule reordering :premises (@p958) :args ((or @t108 @t351))) % 0.63/0.87 (step @p960 :rule cnf_and_pos :args (@t353 1)) % 0.63/0.87 (step @p961 :rule reordering :premises (@p960) :args ((or @t352 (not @t353)))) % 0.63/0.87 (step @p962 :rule cnf_or_neg :args (@t179 0)) % 0.63/0.87 (step @p963 :rule chain_m_resolution :premises (@p962 @p502) :args ((not @t178) @t203 @t204)) % 0.63/0.87 (step @p964 :rule eq-refl :args (@t354)) % 0.63/0.87 (step @p965 :rule skolem_intro :args (@t355)) % 0.63/0.87 (step @p966 :rule refl :args (@t354)) % 0.63/0.87 (step @p967 :rule cong :premises (@p966 @p965) :args ((= @t354 @t355))) % 0.63/0.87 (step @p968 :rule trans :premises (@p967 @p964)) % 0.63/0.87 (step @p969 :rule true_elim :premises (@p968)) % 0.63/0.87 (step @p970 :rule cong :premises (@p969) :args (@t356)) % 0.63/0.87 (step @p971 :rule cong :premises (@p466 @p970) :args (@t357)) % 0.63/0.87 (step @p972 :rule cong :premises (@p563 @p971) :args ((=> @t210 @t357))) % 0.63/0.87 (step @p973 :rule aci_norm :args ((= (or false @t357) @t357))) % 0.63/0.87 (step @p974 :rule eq-symm :args (@t356 @t123)) % 0.63/0.87 (step @p975 :rule beta-reduce :args ((= (_ @t358 @t356) (= @t356 @t123)))) % 0.63/0.87 (step @p976 :rule trans :premises (@p975 @p974)) % 0.63/0.87 (step @p977 :rule eq-symm :args (@t222 @t123)) % 0.63/0.87 (step @p978 :rule cong :premises (@p977) :args (@t358)) % 0.63/0.87 (step @p979 :rule cong :premises (@p978) :args (@t359)) % 0.63/0.87 (step @p980 :rule cong :premises (@p979) :args (@t360)) % 0.63/0.87 (step @p981 :rule trans :premises (@p980 @p976)) % 0.63/0.87 (step @p982 :rule eq-refl :args (@t123)) % 0.63/0.87 (step @p983 :rule beta-reduce :args ((= @t361 (= @t123 @t123)))) % 0.63/0.87 (step @p984 :rule trans :premises (@p983 @p982)) % 0.63/0.87 (step @p985 :rule cong :premises (@p984) :args (@t362)) % 0.63/0.87 (step @p986 :rule trans :premises (@p985 @p167)) % 0.63/0.87 (step @p987 :rule nary_cong :premises (@p986 @p981) :args (@t363)) % 0.63/0.87 (step @p988 :rule trans :premises (@p987 @p973)) % 0.63/0.87 (step @p989 :rule cong :premises (@p563 @p988) :args ((=> @t210 @t363))) % 0.63/0.87 (assume-push @p1576 @t210) % 0.63/0.87 (step @p991 :rule instantiate :premises (@p554) :args ((@list @t358 @t123))) % 0.63/0.87 (step-pop @p1577 :rule scope :premises (@p991)) % 0.63/0.87 (step @p992 :rule process_scope :premises (@p1577) :args (@t363)) % 0.63/0.87 (step @p994 :rule eq_resolve :premises (@p992 @p989)) % 0.63/0.87 (step @p995 :rule eq_resolve :premises (@p994 @p972)) % 0.63/0.87 (step @p996 :rule implies_elim :premises (@p995)) % 0.63/0.87 (step @p997 :rule chain_m_resolution :premises (@p996 @p554) :args (@t365 @t236 @t237)) % 0.63/0.87 (assume-push @p1578 @t365) % 0.63/0.87 (assume-push @p1579 @t366) % 0.63/0.87 (assume-push @p1580 @t366) % 0.63/0.87 (assume-push @p1581 @t365) % 0.63/0.87 (step @p1002 :rule symm :premises (@p1579)) % 0.63/0.87 (step @p1003 :rule cong :premises (@p1002) :args (@t364)) % 0.63/0.87 (step @p1004 :rule trans :premises (@p997 @p1003)) % 0.63/0.87 (step-pop @p1582 :rule scope :premises (@p1004)) % 0.63/0.87 (step-pop @p1583 :rule scope :premises (@p1582)) % 0.63/0.87 (step @p1005 :rule process_scope :premises (@p1583) :args (@t178)) % 0.63/0.87 (step @p1008 :rule and_intro :premises (@p1579 @p997)) % 0.63/0.87 (step @p1009 :rule modus_ponens :premises (@p1008 @p1005)) % 0.63/0.87 (step-pop @p1584 :rule scope :premises (@p1009)) % 0.63/0.87 (step-pop @p1585 :rule scope :premises (@p1584)) % 0.63/0.87 (step @p1010 :rule process_scope :premises (@p1585) :args (@t178)) % 0.63/0.87 (step @p1013 :rule implies_elim :premises (@p1010)) % 0.63/0.87 (step @p1014 :rule cnf_and_neg :args (@t367)) % 0.63/0.87 (step @p1015 :rule resolution :premises (@p1014 @p1013) :args (true @t367)) % 0.63/0.87 (step @p1016 :rule reordering :premises (@p1015) :args ((or @t178 (not @t365) @t368))) % 0.63/0.87 (step @p1017 :rule chain_m_resolution :premises (@p1016 @p997 @p963) :args (@t368 @t241 (@list @t365 @t178))) % 0.63/0.87 (step @p1018 :rule eq-symm :args (@t371 @t352)) % 0.63/0.87 (step @p1019 :rule eq-refl :args (@t352)) % 0.63/0.87 (step @p1020 :rule beta-reduce :args ((= @t372 @t352))) % 0.63/0.87 (step @p1021 :rule refl :args (@t352)) % 0.63/0.87 (step @p1022 :rule cong :premises (@p1021 @p1020) :args ((= @t352 @t372))) % 0.63/0.87 (step @p1023 :rule trans :premises (@p1022 @p1019)) % 0.63/0.87 (step @p1024 :rule eq-symm :args (@t372 @t352)) % 0.63/0.87 (step @p1025 :rule trans :premises (@p1024 @p1023)) % 0.63/0.87 (step @p1026 :rule refl :args (@t286)) % 0.63/0.87 (step @p1027 :rule ho_cong :premises (@p965 @p1026)) % 0.63/0.87 (step @p1028 :rule cong :premises (@p1027 @p1021) :args ((= @t373 @t352))) % 0.63/0.87 (step @p1029 :rule trans :premises (@p1028 @p1025)) % 0.63/0.87 (step @p1030 :rule true_elim :premises (@p1029)) % 0.63/0.87 (step @p1031 :rule eq-refl :args (@t374)) % 0.63/0.87 (step @p1032 :rule eq-symm :args (@t286 @t132)) % 0.63/0.87 (step @p1033 :rule nary_cong :premises (@p473 @p1032) :args (@t375)) % 0.63/0.87 (step @p1034 :rule eq-symm :args (@t286 @t126)) % 0.63/0.87 (step @p1035 :rule nary_cong :premises (@p476 @p1034) :args (@t376)) % 0.63/0.87 (step @p1036 :rule eq-symm :args (@t286 @t129)) % 0.63/0.87 (step @p1037 :rule nary_cong :premises (@p479 @p1036) :args (@t377)) % 0.63/0.87 (step @p1038 :rule eq-symm :args (@t286 @t123)) % 0.63/0.87 (step @p1039 :rule nary_cong :premises (@p482 @p1038) :args (@t378)) % 0.63/0.87 (step @p1040 :rule nary_cong :premises (@p1039 @p1037 @p1035 @p1033) :args (@t379)) % 0.63/0.87 (step @p1041 :rule beta-reduce :args ((= @t380 @t379))) % 0.63/0.87 (step @p1042 :rule trans :premises (@p1041 @p1040)) % 0.63/0.87 (step @p1043 :rule refl :args (@t374)) % 0.63/0.87 (step @p1044 :rule cong :premises (@p1043 @p1042) :args ((= @t374 @t380))) % 0.63/0.87 (step @p1045 :rule trans :premises (@p1044 @p1031)) % 0.63/0.87 (step @p1046 :rule eq-symm :args (@t380 @t374)) % 0.63/0.87 (step @p1047 :rule trans :premises (@p1046 @p1045)) % 0.63/0.87 (step @p1048 :rule refl :args (@t369)) % 0.63/0.87 (step @p1049 :rule nary_cong :premises (@p25 @p1048) :args (@t370)) % 0.63/0.87 (step @p1050 :rule refl :args (@t287)) % 0.63/0.87 (step @p1051 :rule nary_cong :premises (@p278 @p1050) :args (@t288)) % 0.63/0.87 (step @p1052 :rule refl :args (@t349)) % 0.63/0.87 (step @p1053 :rule nary_cong :premises (@p298 @p1052) :args (@t350)) % 0.63/0.87 (step @p1054 :rule nary_cong :premises (@p258 @p1021) :args (@t353)) % 0.63/0.87 (step @p1055 :rule nary_cong :premises (@p1054 @p1053 @p1051 @p1049) :args (@t371)) % 0.63/0.87 (step @p1056 :rule ho_cong :premises (@p454 @p1026)) % 0.63/0.87 (step @p1057 :rule cong :premises (@p1056 @p1055) :args ((= @t381 @t371))) % 0.63/0.87 (step @p1058 :rule trans :premises (@p1057 @p1047)) % 0.63/0.87 (step @p1059 :rule true_elim :premises (@p1058)) % 0.63/0.87 (step @p1060 :rule cong :premises (@p1059 @p1030) :args (@t382)) % 0.63/0.87 (step @p1061 :rule trans :premises (@p1060 @p1018)) % 0.63/0.87 (step @p1062 :rule cong :premises (@p1061) :args (@t383)) % 0.63/0.87 (step @p1063 :rule refl :args (@t366)) % 0.63/0.87 (step @p1064 :rule nary_cong :premises (@p1063 @p1062) :args (@t384)) % 0.63/0.87 ; trust TRUST THEORY_LEMMA % 0.63/0.87 (step @p1065 :rule trust :premises () :args (@t384)) % 0.63/0.87 (step @p1066 :rule eq_resolve :premises (@p1065 @p1064)) % 0.63/0.87 (step @p1067 :rule chain_m_resolution :premises (@p1066 @p1017) :args ((not @t385) @t203 (@list @t366))) % 0.63/0.87 (step @p1068 :rule cnf_equiv_neg1 :args (@t385)) % 0.63/0.87 (step @p1069 :rule reordering :premises (@p1068) :args ((or @t352 @t371 @t385))) % 0.63/0.87 (step @p1070 :rule cnf_and_pos :args (@t370 0)) % 0.63/0.87 (step @p1071 :rule reordering :premises (@p1070) :args ((or @t51 @t386))) % 0.63/0.87 (step @p1072 :rule chain_m_resolution :premises (@p1071 @p915) :args (@t386 @t203 @t335)) % 0.63/0.87 (step @p1073 :rule cnf_or_pos :args (@t371)) % 0.63/0.87 (step @p1074 :rule reordering :premises (@p1073) :args ((or @t353 @t350 @t288 @t370 (not @t371)))) % 0.63/0.87 (step @p1075 :rule chain_m_resolution :premises (@p1074 @p1072 @p1069 @p1067 @p961) :args ((or @t352 @t350 @t288) (@list true false true true) (@list @t370 @t371 @t385 @t353))) % 0.63/0.87 (step @p1076 :rule cnf_and_neg :args (@t353)) % 0.63/0.87 (step @p1077 :rule reordering :premises (@p1076) :args ((or @t103 @t353 @t387))) % 0.63/0.87 (step @p1078 :rule cnf_equiv_neg2 :args (@t385)) % 0.63/0.87 (step @p1079 :rule cnf_or_neg :args (@t371 0)) % 0.63/0.87 (step @p1080 :rule chain_m_resolution :premises (@p1079 @p1078 @p1067 @p1077) :args ((or @t103 @t387) @t257 (@list @t371 @t385 @t353))) % 0.63/0.87 (step @p1081 :rule equiv_elim2 :premises (@p259)) % 0.63/0.87 (step @p1082 :rule bool-double-not-elim :args (@t390)) % 0.63/0.87 (step @p1083 :rule bool-eq-false :args (@t390)) % 0.63/0.87 (step @p1084 :rule beta-reduce :args ((= @t391 false))) % 0.63/0.87 (step @p1085 :rule cong :premises (@p1084) :args ((not @t391))) % 0.63/0.87 (step @p1086 :rule trans :premises (@p1085 @p36)) % 0.63/0.87 (step @p1087 :rule skolem_intro :args (@t389)) % 0.63/0.87 (step @p1088 :rule ho_cong :premises (@p45 @p1087)) % 0.63/0.87 (step @p1089 :rule cong :premises (@p1088) :args ((not @t392))) % 0.63/0.87 (step @p1090 :rule bool-eq-false :args (@t392)) % 0.63/0.87 (step @p1091 :rule trans :premises (@p1090 @p1089 @p1086)) % 0.63/0.87 (step @p1092 :rule true_elim :premises (@p1091)) % 0.63/0.87 (step @p1093 :rule eq-refl :args (@t388)) % 0.63/0.87 (step @p1094 :rule refl :args (@t388)) % 0.63/0.87 (step @p1095 :rule cong :premises (@p1094 @p1087) :args ((= @t388 @t389))) % 0.63/0.87 (step @p1096 :rule trans :premises (@p1095 @p1093)) % 0.63/0.87 (step @p1097 :rule true_elim :premises (@p1096)) % 0.63/0.87 (step @p1098 :rule cong :premises (@p1097) :args (@t393)) % 0.63/0.87 (step @p1099 :rule trans :premises (@p1098 @p1092)) % 0.63/0.87 (step @p1100 :rule cong :premises (@p1097) :args (@t394)) % 0.63/0.87 (step @p1101 :rule cong :premises (@p1100 @p1099) :args (@t395)) % 0.63/0.87 (step @p1102 :rule trans :premises (@p1101 @p1083)) % 0.63/0.87 (step @p1103 :rule cong :premises (@p1102) :args (@t396)) % 0.63/0.87 (step @p1104 :rule trans :premises (@p1103 @p1082)) % 0.63/0.87 (step @p1105 :rule refl :args (@t61)) % 0.63/0.87 (step @p1106 :rule nary_cong :premises (@p1105 @p1104) :args (@t397)) % 0.63/0.87 ; trust TRUST THEORY_LEMMA % 0.63/0.87 (step @p1107 :rule trust :premises () :args (@t397)) % 0.63/0.87 (step @p1108 :rule eq_resolve :premises (@p1107 @p1106)) % 0.63/0.87 (step @p1109 :rule cnf_equiv_neg1 :args (@t398)) % 0.63/0.87 (step @p1110 :rule reordering :premises (@p1109) :args ((or @t339 @t338 @t398))) % 0.63/0.87 (step @p1111 :rule refl :args (@t399)) % 0.63/0.87 (step @p1112 :rule refl :args (@t339)) % 0.63/0.87 (step @p1113 :rule bool-double-not-elim :args (@t260)) % 0.63/0.87 (step @p1114 :rule refl :args (@t269)) % 0.63/0.87 (step @p1115 :rule nary_cong :premises (@p1114 @p1113 @p1112 @p1111) :args ((or @t269 @t400 @t339 @t399))) % 0.63/0.87 (assume-push @p1586 @t259) % 0.63/0.87 (assume-push @p1587 @t266) % 0.63/0.87 (assume-push @p1588 @t337) % 0.63/0.87 (assume-push @p1589 @t266) % 0.63/0.87 (assume-push @p1590 @t259) % 0.63/0.87 (assume-push @p1591 @t337) % 0.63/0.87 (step @p1122 :rule false_intro :premises (@p1587)) % 0.63/0.87 (step @p1123 :rule true_intro :premises (@p1586)) % 0.63/0.87 (step @p1124 :rule symm :premises (@p1123)) % 0.63/0.87 (step @p1125 :rule true_intro :premises (@p1588)) % 0.63/0.87 (step @p1126 :rule trans :premises (@p1125 @p1124)) % 0.63/0.87 (step @p1127 :rule cong :premises (@p1126) :args (@t338)) % 0.63/0.87 (step @p1128 :rule trans :premises (@p1127 @p1122)) % 0.63/0.87 (step @p1129 :rule false_elim :premises (@p1128)) % 0.63/0.87 (step-pop @p1592 :rule scope :premises (@p1129)) % 0.63/0.87 (step-pop @p1593 :rule scope :premises (@p1592)) % 0.63/0.87 (step-pop @p1594 :rule scope :premises (@p1593)) % 0.63/0.87 (step @p1130 :rule process_scope :premises (@p1594) :args (@t399)) % 0.63/0.87 (step @p1134 :rule and_intro :premises (@p1587 @p1586 @p1588)) % 0.63/0.87 (step @p1135 :rule modus_ponens :premises (@p1134 @p1130)) % 0.63/0.87 (step-pop @p1595 :rule scope :premises (@p1135)) % 0.63/0.87 (step-pop @p1596 :rule scope :premises (@p1595)) % 0.63/0.87 (step-pop @p1597 :rule scope :premises (@p1596)) % 0.63/0.87 (step @p1136 :rule process_scope :premises (@p1597) :args (@t399)) % 0.63/0.87 (step @p1140 :rule implies_elim :premises (@p1136)) % 0.63/0.87 (step @p1141 :rule cnf_and_neg :args (@t401)) % 0.63/0.87 (step @p1142 :rule resolution :premises (@p1141 @p1140) :args (true @t401)) % 0.63/0.87 (step @p1143 :rule eq_resolve :premises (@p1142 @p1115)) % 0.63/0.87 (step @p1144 :rule reordering :premises (@p1143) :args ((or @t260 @t269 @t339 @t399))) % 0.63/0.87 (step @p1145 :rule chain_m_resolution :premises (@p1144 @p692 @p1110 @p957 @p921 @p735 @p281 @p700 @p694 @p691 @p669) :args ((or @t269 @t339) (@list true false true true true true true true true true) (@list @t260 @t338 @t398 @t98 @t285 @t105 @t81 @t268 @t260 @t49))) % 0.63/0.87 (step @p1146 :rule bool-double-not-elim :args (@t337)) % 0.63/0.87 (step @p1147 :rule refl :args (@t398)) % 0.63/0.87 (step @p1148 :rule nary_cong :premises (@p1147 @p1146 @p1111) :args ((or @t398 @t402 @t399))) % 0.63/0.87 (step @p1149 :rule cnf_equiv_neg2 :args (@t398)) % 0.63/0.87 (step @p1150 :rule eq_resolve :premises (@p1149 @p1148)) % 0.63/0.87 (step @p1151 :rule reordering :premises (@p1150) :args ((or @t337 @t398 @t399))) % 0.63/0.87 (step @p1152 :rule refl :args (@t338)) % 0.63/0.87 (step @p1153 :rule bool-double-not-elim :args (@t389)) % 0.63/0.87 (step @p1154 :rule refl :args (@t403)) % 0.63/0.87 (step @p1155 :rule nary_cong :premises (@p1146 @p1154 @p1153 @p1152) :args ((or @t402 @t403 @t405 @t338))) % 0.63/0.87 (assume-push @p1598 @t339) % 0.63/0.87 (assume-push @p1599 @t390) % 0.63/0.87 (assume-push @p1600 @t404) % 0.63/0.87 (assume-push @p1601 @t390) % 0.63/0.87 (assume-push @p1602 @t404) % 0.63/0.87 (assume-push @p1603 @t339) % 0.63/0.87 (step @p1162 :rule true_intro :premises (@p1599)) % 0.63/0.87 (step @p1163 :rule false_intro :premises (@p1600)) % 0.63/0.87 (step @p1164 :rule symm :premises (@p1163)) % 0.63/0.87 (step @p1165 :rule false_intro :premises (@p1598)) % 0.63/0.87 (step @p1166 :rule trans :premises (@p1165 @p1164)) % 0.63/0.87 (step @p1167 :rule cong :premises (@p1166) :args (@t338)) % 0.63/0.87 (step @p1168 :rule trans :premises (@p1167 @p1162)) % 0.63/0.87 (step @p1169 :rule true_elim :premises (@p1168)) % 0.63/0.87 (step-pop @p1604 :rule scope :premises (@p1169)) % 0.63/0.87 (step-pop @p1605 :rule scope :premises (@p1604)) % 0.63/0.87 (step-pop @p1606 :rule scope :premises (@p1605)) % 0.63/0.87 (step @p1170 :rule process_scope :premises (@p1606) :args (@t338)) % 0.63/0.87 (step @p1174 :rule and_intro :premises (@p1599 @p1600 @p1598)) % 0.63/0.87 (step @p1175 :rule modus_ponens :premises (@p1174 @p1170)) % 0.63/0.87 (step-pop @p1607 :rule scope :premises (@p1175)) % 0.63/0.87 (step-pop @p1608 :rule scope :premises (@p1607)) % 0.63/0.87 (step-pop @p1609 :rule scope :premises (@p1608)) % 0.63/0.87 (step @p1176 :rule process_scope :premises (@p1609) :args (@t338)) % 0.63/0.87 (step @p1180 :rule implies_elim :premises (@p1176)) % 0.63/0.87 (step @p1181 :rule cnf_and_neg :args (@t406)) % 0.63/0.87 (step @p1182 :rule resolution :premises (@p1181 @p1180) :args (true @t406)) % 0.63/0.87 (step @p1183 :rule eq_resolve :premises (@p1182 @p1155)) % 0.63/0.87 (step @p1184 :rule reordering :premises (@p1183) :args ((or @t337 @t338 @t389 @t403))) % 0.63/0.87 (step @p1185 :rule chain_m_resolution :premises (@p1184 @p1151) :args ((or @t337 @t398 @t389 @t403) @t203 @t407)) % 0.63/0.87 (step @p1186 :rule cnf_equiv_neg2 :args (@t408)) % 0.63/0.87 (step @p1187 :rule reordering :premises (@p1186) :args ((or @t410 @t408 @t409))) % 0.63/0.87 (assume-push @p1610 @t272) % 0.63/0.87 (assume-push @p1611 @t389) % 0.63/0.87 (assume-push @p1612 @t390) % 0.63/0.87 (assume-push @p1613 @t390) % 0.63/0.87 (assume-push @p1614 @t389) % 0.63/0.87 (assume-push @p1615 @t272) % 0.63/0.87 (step @p1194 :rule true_intro :premises (@p1612)) % 0.63/0.87 (step @p1195 :rule true_intro :premises (@p1611)) % 0.63/0.87 (step @p1196 :rule symm :premises (@p1195)) % 0.63/0.87 (step @p1197 :rule true_intro :premises (@p1610)) % 0.63/0.87 (step @p1198 :rule trans :premises (@p1197 @p1196)) % 0.63/0.87 (step @p1199 :rule cong :premises (@p1198) :args (@t273)) % 0.63/0.87 (step @p1200 :rule trans :premises (@p1199 @p1194)) % 0.63/0.87 (step @p1201 :rule true_elim :premises (@p1200)) % 0.63/0.87 (step-pop @p1616 :rule scope :premises (@p1201)) % 0.63/0.87 (step-pop @p1617 :rule scope :premises (@p1616)) % 0.63/0.87 (step-pop @p1618 :rule scope :premises (@p1617)) % 0.63/0.87 (step @p1202 :rule process_scope :premises (@p1618) :args (@t273)) % 0.63/0.87 (step @p1206 :rule and_intro :premises (@p1612 @p1611 @p1610)) % 0.63/0.87 (step @p1207 :rule modus_ponens :premises (@p1206 @p1202)) % 0.63/0.87 (step-pop @p1619 :rule scope :premises (@p1207)) % 0.63/0.87 (step-pop @p1620 :rule scope :premises (@p1619)) % 0.63/0.87 (step-pop @p1621 :rule scope :premises (@p1620)) % 0.63/0.87 (step @p1208 :rule process_scope :premises (@p1621) :args (@t273)) % 0.63/0.87 (step @p1212 :rule implies_elim :premises (@p1208)) % 0.63/0.87 (step @p1213 :rule cnf_and_neg :args (@t411)) % 0.63/0.87 (step @p1214 :rule resolution :premises (@p1213 @p1212) :args (true @t411)) % 0.63/0.87 (step @p1215 :rule reordering :premises (@p1214) :args ((or @t410 @t273 @t403 @t404))) % 0.63/0.87 (step @p1216 :rule chain_m_resolution :premises (@p1215 @p1187) :args ((or @t410 @t408 @t403 @t404) @t203 (@list @t273))) % 0.63/0.87 (step @p1217 :rule cnf_equiv_neg1 :args (@t408)) % 0.63/0.87 (step @p1218 :rule reordering :premises (@p1217) :args ((or @t272 @t273 @t408))) % 0.63/0.87 (step @p1219 :rule refl :args (@t409)) % 0.63/0.87 (step @p1220 :rule bool-double-not-elim :args (@t272)) % 0.63/0.87 (step @p1221 :rule nary_cong :premises (@p1220 @p1219 @p1146 @p1152) :args ((or @t412 @t409 @t402 @t338))) % 0.63/0.87 (assume-push @p1622 @t410) % 0.63/0.87 (assume-push @p1623 @t273) % 0.63/0.87 (assume-push @p1624 @t339) % 0.63/0.87 (assume-push @p1625 @t273) % 0.63/0.87 (assume-push @p1626 @t410) % 0.63/0.87 (assume-push @p1627 @t339) % 0.63/0.87 (step @p1228 :rule true_intro :premises (@p1623)) % 0.63/0.87 (step @p1229 :rule false_intro :premises (@p1622)) % 0.63/0.87 (step @p1230 :rule symm :premises (@p1229)) % 0.63/0.87 (step @p1231 :rule false_intro :premises (@p1624)) % 0.63/0.87 (step @p1232 :rule trans :premises (@p1231 @p1230)) % 0.63/0.87 (step @p1233 :rule cong :premises (@p1232) :args (@t338)) % 0.63/0.87 (step @p1234 :rule trans :premises (@p1233 @p1228)) % 0.63/0.87 (step @p1235 :rule true_elim :premises (@p1234)) % 0.63/0.87 (step-pop @p1628 :rule scope :premises (@p1235)) % 0.63/0.87 (step-pop @p1629 :rule scope :premises (@p1628)) % 0.63/0.87 (step-pop @p1630 :rule scope :premises (@p1629)) % 0.63/0.87 (step @p1236 :rule process_scope :premises (@p1630) :args (@t338)) % 0.63/0.87 (step @p1240 :rule and_intro :premises (@p1623 @p1622 @p1624)) % 0.63/0.87 (step @p1241 :rule modus_ponens :premises (@p1240 @p1236)) % 0.63/0.87 (step-pop @p1631 :rule scope :premises (@p1241)) % 0.63/0.87 (step-pop @p1632 :rule scope :premises (@p1631)) % 0.63/0.87 (step-pop @p1633 :rule scope :premises (@p1632)) % 0.63/0.87 (step @p1242 :rule process_scope :premises (@p1633) :args (@t338)) % 0.63/0.87 (step @p1246 :rule implies_elim :premises (@p1242)) % 0.63/0.87 (step @p1247 :rule cnf_and_neg :args (@t413)) % 0.63/0.87 (step @p1248 :rule resolution :premises (@p1247 @p1246) :args (true @t413)) % 0.63/0.87 (step @p1249 :rule eq_resolve :premises (@p1248 @p1221)) % 0.63/0.87 (step @p1250 :rule chain_m_resolution :premises (@p1249 @p1151) :args ((or @t272 @t409 @t337 @t398) @t203 @t407)) % 0.63/0.87 (step @p1251 :rule chain_m_resolution :premises (@p1250 @p1218 @p1216 @p1185 @p1145 @p1108 @p1081 @p1080 @p1075 @p959 @p957 @p301 @p921 @p737 @p735 @p733 @p281 @p700 @p694 @p692) :args (@t269 (@list false true false true false true true false true true true true true true true true true true true) (@list @t273 @t272 @t389 @t337 @t390 @t61 @t102 @t352 @t350 @t398 @t108 @t98 @t288 @t285 @t408 @t105 @t81 @t268 @t260))) % 0.63/0.87 (step @p1252 :rule equiv_elim2 :premises (@p279)) % 0.63/0.87 (step @p1253 :rule bool-impl-false1 :args (@t414)) % 0.63/0.87 (step @p1254 :rule quant-var-elim-eq :args ((= (forall @t68 (or (not (= @t65 true)) @t415)) @t78))) % 0.63/0.87 (step @p1255 :rule refl :args (@t415)) % 0.63/0.87 (step @p1256 :rule bool-eq-true :args (@t65)) % 0.63/0.87 (step @p1257 :rule symm :premises (@p1256)) % 0.63/0.87 (step @p1258 :rule cong :premises (@p1257) :args (@t415)) % 0.63/0.87 (step @p1259 :rule nary_cong :premises (@p1258 @p1255) :args (@t416)) % 0.63/0.87 (step @p1260 :rule aci_norm :args ((= @t415 @t416))) % 0.63/0.87 (step @p1261 :rule trans :premises (@p1260 @p1259)) % 0.63/0.87 (step @p1262 :rule cong :premises (@p1261) :args ((forall @t68 @t415))) % 0.63/0.87 (step @p1263 :rule trans :premises (@p1262 @p1254)) % 0.63/0.87 (step @p1264 :rule trans :premises (@p1263 @p167)) % 0.63/0.87 (step @p1265 :rule cong :premises (@p128) :args ((not @t67))) % 0.63/0.87 (step @p1266 :rule bool-eq-false :args (@t67)) % 0.63/0.87 (step @p1267 :rule trans :premises (@p1266 @p1265)) % 0.63/0.87 (step @p1268 :rule cong :premises (@p1267) :args (@t417)) % 0.63/0.87 (step @p1269 :rule trans :premises (@p1268 @p1264)) % 0.63/0.87 (step @p1270 :rule refl :args (@t414)) % 0.63/0.87 (step @p1271 :rule cong :premises (@p1270 @p1269) :args ((=> @t414 @t417))) % 0.63/0.87 (step @p1272 :rule trans :premises (@p1271 @p1253)) % 0.63/0.87 ; trust DISTINCT_VALUES % 0.63/0.87 (step @p1273 :rule trust :premises () :args (@t419)) % 0.63/0.87 (step @p1274 :rule false_intro :premises (@p1273)) % 0.63/0.87 (step @p1275 :rule cong :premises (@p130 @p40) :args (@t418)) % 0.63/0.87 (step @p1276 :rule trans :premises (@p1275 @p1274)) % 0.63/0.87 (step @p1277 :rule cong :premises (@p1276) :args (@t419)) % 0.63/0.87 (step @p1278 :rule trans :premises (@p1277 @p36)) % 0.63/0.87 (step @p1279 :rule cong :premises (@p135 @p45) :args (@t414)) % 0.63/0.87 (step @p1280 :rule cong :premises (@p1279) :args (@t420)) % 0.63/0.87 (step @p1281 :rule trans :premises (@p1272 @p1280 @p1278)) % 0.63/0.87 (step @p1282 :rule true_elim :premises (@p1281)) % 0.63/0.87 (step @p1283 :rule eq_resolve :premises (@p1282 @p1272)) % 0.63/0.87 (step @p1284 :rule bool-double-not-elim :args (@t414)) % 0.63/0.87 (step @p1285 :rule nary_cong :premises (@p141 @p1284 @p51) :args ((or @t82 (not @t420) @t62))) % 0.63/0.87 (assume-push @p1634 @t81) % 0.63/0.87 (assume-push @p1635 @t420) % 0.63/0.87 (assume-push @p1636 @t420) % 0.63/0.87 (assume-push @p1637 @t81) % 0.63/0.87 (step @p1290 :rule false_intro :premises (@p1283)) % 0.63/0.87 (step @p60 :rule refl :args (@t54)) % 0.63/0.87 (step @p1291 :rule cong :premises (@p1634 @p60) :args (@t61)) % 0.63/0.87 (step @p1292 :rule trans :premises (@p1291 @p1290)) % 0.63/0.87 (step @p1293 :rule false_elim :premises (@p1292)) % 0.63/0.87 (step-pop @p1638 :rule scope :premises (@p1293)) % 0.63/0.87 (step-pop @p1639 :rule scope :premises (@p1638)) % 0.63/0.87 (step @p1294 :rule process_scope :premises (@p1639) :args (@t62)) % 0.63/0.87 (step @p1297 :rule and_intro :premises (@p1283 @p1634)) % 0.63/0.87 (step @p1298 :rule modus_ponens :premises (@p1297 @p1294)) % 0.63/0.87 (step-pop @p1640 :rule scope :premises (@p1298)) % 0.63/0.87 (step-pop @p1641 :rule scope :premises (@p1640)) % 0.63/0.87 (step @p1299 :rule process_scope :premises (@p1641) :args (@t62)) % 0.63/0.87 (step @p1302 :rule implies_elim :premises (@p1299)) % 0.63/0.87 (step @p1303 :rule cnf_and_neg :args (@t421)) % 0.63/0.87 (step @p1304 :rule resolution :premises (@p1303 @p1302) :args (true @t421)) % 0.63/0.87 (step @p1305 :rule eq_resolve :premises (@p1304 @p1285)) % 0.63/0.87 (step @p1306 :rule reordering :premises (@p1305) :args ((or @t82 @t62 @t414))) % 0.63/0.87 (step @p1307 :rule cnf_and_pos :args (@t424 0)) % 0.63/0.87 (step @p1308 :rule reordering :premises (@p1307) :args ((or @t102 (not @t424)))) % 0.63/0.87 (step @p1309 :rule cnf_and_neg :args (@t426)) % 0.63/0.87 (step @p1310 :rule reordering :premises (@p1309) :args ((or @t106 @t426 @t427))) % 0.63/0.87 (step @p1311 :rule eq-refl :args (@t428)) % 0.63/0.87 (step @p1312 :rule skolem_intro :args (@t429)) % 0.63/0.87 (step @p1313 :rule refl :args (@t428)) % 0.63/0.87 (step @p1314 :rule cong :premises (@p1313 @p1312) :args ((= @t428 @t429))) % 0.63/0.87 (step @p1315 :rule trans :premises (@p1314 @p1311)) % 0.63/0.87 (step @p1316 :rule true_elim :premises (@p1315)) % 0.63/0.87 (step @p1317 :rule cong :premises (@p1316) :args (@t430)) % 0.63/0.87 (step @p1318 :rule cong :premises (@p462 @p1317) :args (@t431)) % 0.63/0.87 (step @p1319 :rule cong :premises (@p563 @p1318) :args ((=> @t210 @t431))) % 0.63/0.87 (step @p1320 :rule aci_norm :args ((= (or false @t431) @t431))) % 0.63/0.87 (step @p1321 :rule eq-symm :args (@t430 @t126)) % 0.63/0.87 (step @p1322 :rule beta-reduce :args ((= (_ @t432 @t430) (= @t430 @t126)))) % 0.63/0.87 (step @p1323 :rule trans :premises (@p1322 @p1321)) % 0.63/0.87 (step @p1324 :rule eq-symm :args (@t222 @t126)) % 0.63/0.87 (step @p1325 :rule cong :premises (@p1324) :args (@t432)) % 0.63/0.87 (step @p1326 :rule cong :premises (@p1325) :args (@t433)) % 0.63/0.87 (step @p1327 :rule cong :premises (@p1326) :args (@t434)) % 0.63/0.87 (step @p1328 :rule trans :premises (@p1327 @p1323)) % 0.63/0.87 (step @p1329 :rule eq-refl :args (@t126)) % 0.63/0.87 (step @p1330 :rule beta-reduce :args ((= @t435 (= @t126 @t126)))) % 0.63/0.87 (step @p1331 :rule trans :premises (@p1330 @p1329)) % 0.63/0.87 (step @p1332 :rule cong :premises (@p1331) :args (@t436)) % 0.63/0.87 (step @p1333 :rule trans :premises (@p1332 @p167)) % 0.63/0.87 (step @p1334 :rule nary_cong :premises (@p1333 @p1328) :args (@t437)) % 0.63/0.87 (step @p1335 :rule trans :premises (@p1334 @p1320)) % 0.63/0.88 (step @p1336 :rule cong :premises (@p563 @p1335) :args ((=> @t210 @t437))) % 0.63/0.88 (assume-push @p1642 @t210) % 0.63/0.88 (step @p1338 :rule instantiate :premises (@p554) :args ((@list @t432 @t126))) % 0.63/0.88 (step-pop @p1643 :rule scope :premises (@p1338)) % 0.63/0.88 (step @p1339 :rule process_scope :premises (@p1643) :args (@t437)) % 0.63/0.88 (step @p1341 :rule eq_resolve :premises (@p1339 @p1336)) % 0.63/0.88 (step @p1342 :rule eq_resolve :premises (@p1341 @p1319)) % 0.63/0.88 (step @p1343 :rule implies_elim :premises (@p1342)) % 0.63/0.88 (step @p1344 :rule chain_m_resolution :premises (@p1343 @p554) :args (@t439 @t236 @t237)) % 0.63/0.88 (step @p1345 :rule cnf_or_neg :args (@t179 2)) % 0.63/0.88 (step @p1346 :rule chain_m_resolution :premises (@p1345 @p502) :args ((not @t176) @t203 @t204)) % 0.63/0.88 (assume-push @p1644 @t439) % 0.63/0.88 (assume-push @p1645 @t440) % 0.63/0.88 (assume-push @p1646 @t440) % 0.63/0.88 (assume-push @p1647 @t439) % 0.63/0.88 (step @p1351 :rule symm :premises (@p1645)) % 0.63/0.88 (step @p1352 :rule cong :premises (@p1351) :args (@t438)) % 0.63/0.88 (step @p1353 :rule trans :premises (@p1344 @p1352)) % 0.63/0.88 (step-pop @p1648 :rule scope :premises (@p1353)) % 0.63/0.88 (step-pop @p1649 :rule scope :premises (@p1648)) % 0.63/0.88 (step @p1354 :rule process_scope :premises (@p1649) :args (@t176)) % 0.63/0.88 (step @p1357 :rule and_intro :premises (@p1645 @p1344)) % 0.63/0.88 (step @p1358 :rule modus_ponens :premises (@p1357 @p1354)) % 0.63/0.88 (step-pop @p1650 :rule scope :premises (@p1358)) % 0.63/0.88 (step-pop @p1651 :rule scope :premises (@p1650)) % 0.63/0.88 (step @p1359 :rule process_scope :premises (@p1651) :args (@t176)) % 0.63/0.88 (step @p1362 :rule implies_elim :premises (@p1359)) % 0.63/0.88 (step @p1363 :rule cnf_and_neg :args (@t441)) % 0.63/0.88 (step @p1364 :rule resolution :premises (@p1363 @p1362) :args (true @t441)) % 0.63/0.88 (step @p1365 :rule reordering :premises (@p1364) :args ((or @t176 (not @t439) @t442))) % 0.63/0.88 (step @p1366 :rule chain_m_resolution :premises (@p1365 @p1346 @p1344) :args (@t442 (@list true false) (@list @t176 @t439))) % 0.63/0.88 (step @p1367 :rule eq-symm :args (@t447 @t425)) % 0.63/0.88 (step @p1368 :rule eq-refl :args (@t425)) % 0.63/0.88 (step @p1369 :rule beta-reduce :args ((= @t448 @t425))) % 0.63/0.88 (step @p1370 :rule refl :args (@t425)) % 0.63/0.88 (step @p1371 :rule cong :premises (@p1370 @p1369) :args ((= @t425 @t448))) % 0.63/0.88 (step @p1372 :rule trans :premises (@p1371 @p1368)) % 0.63/0.88 (step @p1373 :rule eq-symm :args (@t448 @t425)) % 0.63/0.88 (step @p1374 :rule trans :premises (@p1373 @p1372)) % 0.63/0.88 (step @p1375 :rule refl :args (@t422)) % 0.63/0.88 (step @p1376 :rule ho_cong :premises (@p1312 @p1375)) % 0.63/0.88 (step @p1377 :rule cong :premises (@p1376 @p1370) :args ((= @t449 @t425))) % 0.63/0.88 (step @p1378 :rule trans :premises (@p1377 @p1374)) % 0.63/0.88 (step @p1379 :rule true_elim :premises (@p1378)) % 0.63/0.88 (step @p1380 :rule eq-refl :args (@t450)) % 0.63/0.88 (step @p1381 :rule eq-symm :args (@t422 @t132)) % 0.63/0.88 (step @p1382 :rule nary_cong :premises (@p473 @p1381) :args (@t451)) % 0.63/0.88 (step @p1383 :rule eq-symm :args (@t422 @t126)) % 0.63/0.88 (step @p1384 :rule nary_cong :premises (@p476 @p1383) :args (@t452)) % 0.63/0.88 (step @p1385 :rule eq-symm :args (@t422 @t129)) % 0.63/0.88 (step @p1386 :rule nary_cong :premises (@p479 @p1385) :args (@t453)) % 0.63/0.88 (step @p1387 :rule eq-symm :args (@t422 @t123)) % 0.63/0.88 (step @p1388 :rule nary_cong :premises (@p482 @p1387) :args (@t454)) % 0.63/0.88 (step @p1389 :rule nary_cong :premises (@p1388 @p1386 @p1384 @p1382) :args (@t455)) % 0.63/0.88 (step @p1390 :rule beta-reduce :args ((= @t456 @t455))) % 0.63/0.88 (step @p1391 :rule trans :premises (@p1390 @p1389)) % 0.63/0.88 (step @p1392 :rule refl :args (@t450)) % 0.63/0.88 (step @p1393 :rule cong :premises (@p1392 @p1391) :args ((= @t450 @t456))) % 0.63/0.88 (step @p1394 :rule trans :premises (@p1393 @p1380)) % 0.63/0.88 (step @p1395 :rule eq-symm :args (@t456 @t450)) % 0.63/0.88 (step @p1396 :rule trans :premises (@p1395 @p1394)) % 0.63/0.88 (step @p1397 :rule refl :args (@t443)) % 0.63/0.88 (step @p1398 :rule nary_cong :premises (@p25 @p1397) :args (@t444)) % 0.63/0.88 (step @p1399 :rule nary_cong :premises (@p278 @p1370) :args (@t426)) % 0.63/0.88 (step @p1400 :rule refl :args (@t445)) % 0.63/0.88 (step @p1401 :rule nary_cong :premises (@p298 @p1400) :args (@t446)) % 0.63/0.88 (step @p1402 :rule refl :args (@t423)) % 0.63/0.88 (step @p1403 :rule nary_cong :premises (@p258 @p1402) :args (@t424)) % 0.63/0.88 (step @p1404 :rule nary_cong :premises (@p1403 @p1401 @p1399 @p1398) :args (@t447)) % 0.63/0.88 (step @p1405 :rule ho_cong :premises (@p454 @p1375)) % 0.63/0.88 (step @p1406 :rule cong :premises (@p1405 @p1404) :args ((= @t457 @t447))) % 0.63/0.88 (step @p1407 :rule trans :premises (@p1406 @p1396)) % 0.63/0.88 (step @p1408 :rule true_elim :premises (@p1407)) % 0.63/0.88 (step @p1409 :rule cong :premises (@p1408 @p1379) :args (@t458)) % 0.63/0.88 (step @p1410 :rule trans :premises (@p1409 @p1367)) % 0.63/0.88 (step @p1411 :rule cong :premises (@p1410) :args (@t459)) % 0.63/0.88 (step @p1412 :rule refl :args (@t440)) % 0.63/0.88 (step @p1413 :rule nary_cong :premises (@p1412 @p1411) :args (@t460)) % 0.63/0.88 ; trust TRUST THEORY_LEMMA % 0.63/0.88 (step @p1414 :rule trust :premises () :args (@t460)) % 0.63/0.88 (step @p1415 :rule eq_resolve :premises (@p1414 @p1413)) % 0.63/0.88 (step @p1416 :rule chain_m_resolution :premises (@p1415 @p1366) :args ((not @t461) @t203 (@list @t440))) % 0.63/0.88 (step @p1417 :rule cnf_equiv_neg2 :args (@t461)) % 0.63/0.88 (step @p1418 :rule cnf_or_neg :args (@t447 2)) % 0.63/0.88 (step @p1419 :rule chain_m_resolution :premises (@p1418 @p1417 @p1416 @p1310) :args ((or @t106 @t427) @t257 (@list @t447 @t461 @t426))) % 0.63/0.88 (step @p1420 :rule cnf_and_pos :args (@t426 1)) % 0.63/0.88 (step @p1421 :rule reordering :premises (@p1420) :args ((or @t425 (not @t426)))) % 0.63/0.88 (step @p1422 :rule cnf_equiv_neg1 :args (@t461)) % 0.63/0.88 (step @p1423 :rule reordering :premises (@p1422) :args ((or @t425 @t447 @t461))) % 0.63/0.88 (step @p1424 :rule cnf_and_pos :args (@t444 0)) % 0.63/0.88 (step @p1425 :rule reordering :premises (@p1424) :args ((or @t51 @t462))) % 0.63/0.88 (step @p1426 :rule chain_m_resolution :premises (@p1425 @p915) :args (@t462 @t203 @t335)) % 0.63/0.88 (step @p1427 :rule bool-double-not-elim :args (@t259)) % 0.63/0.88 (step @p1428 :rule refl :args (@t260)) % 0.63/0.88 (step @p1429 :rule refl :args (@t464)) % 0.63/0.88 (step @p1430 :rule nary_cong :premises (@p1429 @p1428 @p1427) :args ((or @t464 @t260 @t465))) % 0.63/0.88 (step @p1431 :rule cnf_equiv_pos2 :args (@t463)) % 0.63/0.88 (step @p1432 :rule eq_resolve :premises (@p1431 @p1430)) % 0.63/0.88 (step @p1433 :rule reordering :premises (@p1432) :args ((or @t259 @t260 @t464))) % 0.63/0.88 (step @p1434 :rule chain_m_resolution :premises (@p1433 @p1251 @p692) :args (@t464 @t466 (@list @t259 @t260))) % 0.63/0.88 ; trust TRUST THEORY_LEMMA % 0.63/0.88 (step @p1435 :rule trust :premises () :args ((=> @t98 @t463))) % 0.63/0.88 (step @p1436 :rule implies_elim :premises (@p1435)) % 0.63/0.88 (step @p1437 :rule chain_m_resolution :premises (@p1436 @p1434) :args (@t99 @t203 (@list @t463))) % 0.63/0.88 (step @p1438 :rule chain_m_resolution :premises (@p301 @p1437) :args (@t109 @t203 (@list @t98))) % 0.63/0.88 (step @p1439 :rule cnf_and_pos :args (@t446 0)) % 0.63/0.88 (step @p1440 :rule reordering :premises (@p1439) :args ((or @t108 @t467))) % 0.63/0.88 (step @p1441 :rule chain_m_resolution :premises (@p1440 @p1438) :args (@t467 @t203 @t468)) % 0.63/0.88 (step @p1442 :rule cnf_or_pos :args (@t447)) % 0.63/0.88 (step @p1443 :rule reordering :premises (@p1442) :args ((or @t424 @t446 @t426 @t444 (not @t447)))) % 0.63/0.88 (step @p1444 :rule chain_m_resolution :premises (@p1443 @p1441 @p1426 @p1423 @p1416 @p1421 @p1419 @p1308 @p261 @p1306 @p1283 @p1252) :args (@t82 (@list true true false true true true true true true true false) (@list @t446 @t444 @t447 @t461 @t426 @t425 @t424 @t102 @t61 @t414 @t105))) % 0.63/0.88 (step @p1445 :rule chain_m_resolution :premises (@p281 @p1444) :args (@t106 @t203 @t469)) % 0.63/0.88 (step @p1446 :rule chain_m_resolution :premises (@p737 @p1445) :args (@t289 @t203 (@list @t105))) % 0.63/0.88 (step @p1447 :rule chain_m_resolution :premises (@p959 @p1438) :args (@t351 @t203 @t468)) % 0.63/0.88 (step @p1448 :rule chain_m_resolution :premises (@p1075 @p1447 @p1446) :args (@t352 @t466 (@list @t350 @t288))) % 0.63/0.88 (step @p1449 :rule chain_m_resolution :premises (@p1080 @p1448) :args (@t103 @t236 (@list @t352))) % 0.63/0.88 (step @p1450 :rule chain_m_resolution :premises (@p1081 @p1449) :args (@t62 @t203 (@list @t102))) % 0.63/0.88 (step @p1451 :rule chain_m_resolution :premises (@p1108 @p1450) :args (@t390 @t203 (@list @t61))) % 0.63/0.88 (step @p1452 :rule nary_cong :premises (@p1113 @p1427 @p1154 @p1153) :args ((or @t400 @t465 @t403 @t405))) % 0.63/0.88 (assume-push @p1652 @t266) % 0.63/0.88 (assume-push @p1653 @t269) % 0.63/0.88 (assume-push @p1654 @t404) % 0.63/0.88 (assume-push @p1655 @t390) % 0.63/0.88 (step @p1457 :rule false_intro :premises (@p1652)) % 0.63/0.88 (step @p1458 :rule false_intro :premises (@p1653)) % 0.63/0.88 (step @p1459 :rule symm :premises (@p1458)) % 0.63/0.88 (step @p1460 :rule false_intro :premises (@p1654)) % 0.63/0.88 (step @p1461 :rule trans :premises (@p1460 @p1459)) % 0.63/0.88 (step @p1462 :rule cong :premises (@p1461) :args (@t390)) % 0.63/0.88 (step @p1463 :rule true_intro :premises (@p1655)) % 0.63/0.88 (step @p1464 :rule symm :premises (@p1463)) % 0.63/0.88 (step @p1465 :rule trans :premises (@p1464 @p1462 @p1457)) % 0.63/0.88 (step @p1466 false :rule eq_resolve :premises (@p1465 @p30)) % 0.63/0.88 (step-pop @p1656 :rule scope :premises (@p1466)) % 0.63/0.88 (step-pop @p1657 :rule scope :premises (@p1656)) % 0.63/0.88 (step-pop @p1658 :rule scope :premises (@p1657)) % 0.63/0.88 (step-pop @p1659 :rule scope :premises (@p1658)) % 0.63/0.88 (step @p1467 :rule process_scope :premises (@p1659) :args (false)) % 0.63/0.88 (assume-push @p1660 @t266) % 0.63/0.88 (assume-push @p1661 @t269) % 0.63/0.88 (assume-push @p1662 @t390) % 0.63/0.88 (assume-push @p1663 @t404) % 0.63/0.88 (step @p1476 :rule and_intro :premises (@p1660 @p1661 @p1663 @p1662)) % 0.63/0.88 (step-pop @p1664 :rule scope :premises (@p1476)) % 0.63/0.88 (step-pop @p1665 :rule scope :premises (@p1664)) % 0.63/0.88 (step-pop @p1666 :rule scope :premises (@p1665)) % 0.63/0.88 (step-pop @p1667 :rule scope :premises (@p1666)) % 0.63/0.88 (step @p1477 :rule process_scope :premises (@p1667) :args (@t470)) % 0.63/0.88 (step @p1482 :rule implies_elim :premises (@p1477)) % 0.63/0.88 (step @p1483 :rule resolution :premises (@p1482 @p1467) :args (true @t470)) % 0.63/0.88 (step @p1484 :rule not_and :premises (@p1483)) % 0.63/0.88 (step @p1485 :rule eq_resolve :premises (@p1484 @p1452)) % 0.63/0.88 (step @p1486 :rule reordering :premises (@p1485) :args ((or @t259 @t260 @t389 @t403))) % 0.63/0.88 (step @p1487 :rule chain_m_resolution :premises (@p1486 @p1251 @p692 @p1451) :args (@t389 @t257 (@list @t259 @t260 @t390))) % 0.63/0.88 (step @p1488 :rule chain_m_resolution :premises (@p733 @p1444) :args ((not @t408) @t203 @t469)) % 0.63/0.88 (step @p1489 :rule chain_m_resolution :premises (@p1216 @p1488 @p1451 @p1487) :args (@t410 (@list true false false) (@list @t408 @t390 @t389))) % 0.63/0.88 (step @p1490 :rule chain_m_resolution :premises (@p1218 @p1489 @p1488) :args (@t273 @t466 (@list @t272 @t408))) % 0.63/0.88 (step @p1491 :rule nary_cong :premises (@p1113 @p1427 @p1220 @p1219) :args ((or @t400 @t465 @t412 @t409))) % 0.63/0.88 (assume-push @p1668 @t266) % 0.63/0.88 (assume-push @p1669 @t269) % 0.63/0.88 (assume-push @p1670 @t410) % 0.63/0.88 (assume-push @p1671 @t266) % 0.63/0.88 (assume-push @p1672 @t269) % 0.63/0.88 (assume-push @p1673 @t410) % 0.63/0.88 (step @p1498 :rule false_intro :premises (@p1668)) % 0.63/0.88 (step @p1499 :rule false_intro :premises (@p1669)) % 0.63/0.88 (step @p1500 :rule symm :premises (@p1499)) % 0.63/0.88 (step @p1501 :rule false_intro :premises (@p1670)) % 0.63/0.88 (step @p1502 :rule trans :premises (@p1501 @p1500)) % 0.63/0.88 (step @p1503 :rule cong :premises (@p1502) :args (@t273)) % 0.63/0.88 (step @p1504 :rule trans :premises (@p1503 @p1498)) % 0.63/0.88 (step @p1505 :rule false_elim :premises (@p1504)) % 0.63/0.88 (step-pop @p1674 :rule scope :premises (@p1505)) % 0.63/0.88 (step-pop @p1675 :rule scope :premises (@p1674)) % 0.63/0.88 (step-pop @p1676 :rule scope :premises (@p1675)) % 0.63/0.88 (step @p1506 :rule process_scope :premises (@p1676) :args (@t409)) % 0.63/0.88 (step @p1510 :rule and_intro :premises (@p1668 @p1669 @p1670)) % 0.63/0.88 (step @p1511 :rule modus_ponens :premises (@p1510 @p1506)) % 0.63/0.88 (step-pop @p1677 :rule scope :premises (@p1511)) % 0.63/0.88 (step-pop @p1678 :rule scope :premises (@p1677)) % 0.63/0.88 (step-pop @p1679 :rule scope :premises (@p1678)) % 0.63/0.88 (step @p1512 :rule process_scope :premises (@p1679) :args (@t409)) % 0.63/0.88 (step @p1516 :rule implies_elim :premises (@p1512)) % 0.63/0.88 (step @p1517 :rule cnf_and_neg :args (@t471)) % 0.63/0.88 (step @p1518 :rule resolution :premises (@p1517 @p1516) :args (true @t471)) % 0.63/0.88 (step @p1519 :rule eq_resolve :premises (@p1518 @p1491)) % 0.63/0.88 (step @p1520 :rule reordering :premises (@p1519) :args ((or @t259 @t260 @t272 @t409))) % 0.63/0.88 (step @p1521 false :rule chain_m_resolution :premises (@p1520 @p1490 @p1489 @p1251 @p692) :args (false (@list false true true true) (@list @t273 @t272 @t259 @t260))) % 0.63/0.88 ) % 0.63/0.88 % SZS output end Proof % 0.63/0.88 % cvc5 exiting %------------------------------------------------------------------------------