%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO546^1 : TPTP v9.2.1. Released v5.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n001.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 0.46s 0.68s % Output : Proof 0.46s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYO546^1 : TPTP v9.2.1. Released v5.2.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.19/0.35 % Computer : n001.cluster.edu % 0.19/0.35 % Model : x86_64 x86_64 % 0.19/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.19/0.35 % Memory : 8042.1875MB % 0.19/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.19/0.35 % CPULimit : 300 % 0.19/0.35 % WCLimit : 300 % 0.19/0.35 % DateTime : Wed Jun 3 00:20:50 EDT 2026 % 0.19/0.35 % CPUTime : % 0.28/0.50 %----Proving TH0 % 0.46/0.68 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.46/0.68 % SZS status Theorem % 0.46/0.68 % SZS output start Proof % 0.46/0.68 ( % 0.46/0.68 (declare-sort $$unsorted 0) % 0.46/0.68 (declare-const tptp.eps (-> (-> $$unsorted Bool) $$unsorted)) % 0.46/0.68 (declare-const tptp.f (-> Bool Bool)) % 0.46/0.68 (define tptp.case () (let ((_let_1 (@var "V" $$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)))))))))))))))) % 0.46/0.68 (define @t1 () (@var "P" (-> $$unsorted Bool))) % 0.46/0.68 (define @t2 () (_ tptp.eps @t1)) % 0.46/0.68 (define @t3 () (_ @t1 @t2)) % 0.46/0.68 (define @t4 () (@var "X" $$unsorted)) % 0.46/0.68 (define @t5 () (_ @t1 @t4)) % 0.46/0.68 (define @t6 () (@list @t4)) % 0.46/0.68 (define @t7 () (exists @t6 @t5)) % 0.46/0.68 (define @t8 () (=> @t7 @t3)) % 0.46/0.68 (define @t9 () (@list @t1)) % 0.46/0.68 (define @t10 () (forall @t9 @t8)) % 0.46/0.68 (define @t11 () (= (_ (_ (_ (_ (_ tptp.case tptp.f) @t4) @t4) @t4) @t4) @t4)) % 0.46/0.68 (define @t12 () (forall @t6 @t11)) % 0.46/0.68 (define @t13 () (not @t12)) % 0.46/0.68 (define @t14 () (@var "V" $$unsorted)) % 0.46/0.68 (define @t15 () (@var "Z" $$unsorted)) % 0.46/0.68 (define @t16 () (@var "A" Bool)) % 0.46/0.68 (define @t17 () (@list @t16)) % 0.46/0.68 (define @t18 () (lambda @t17 true)) % 0.46/0.68 (define @t19 () (@var "B" (-> Bool Bool))) % 0.46/0.68 (define @t20 () (= @t19 @t18)) % 0.46/0.68 (define @t21 () (and @t20 (= @t15 @t14))) % 0.46/0.68 (define @t22 () (@var "U" $$unsorted)) % 0.46/0.68 (define @t23 () (lambda @t17 @t16)) % 0.46/0.68 (define @t24 () (= @t19 @t23)) % 0.46/0.68 (define @t25 () (and @t24 (= @t15 @t22))) % 0.46/0.68 (define @t26 () (@var "Y" $$unsorted)) % 0.46/0.68 (define @t27 () (@var "_lvar_0" Bool)) % 0.46/0.68 (define @t28 () (lambda (@list @t27) (not @t27))) % 0.46/0.68 (define @t29 () (= @t19 @t28)) % 0.46/0.68 (define @t30 () (and @t29 (= @t15 @t26))) % 0.46/0.68 (define @t31 () (lambda @t17 false)) % 0.46/0.68 (define @t32 () (= @t19 @t31)) % 0.46/0.68 (define @t33 () (and @t32 (= @t15 @t4))) % 0.46/0.68 (define @t34 () (or @t33 @t30 @t25 @t21)) % 0.46/0.68 (define @t35 () (@list @t15)) % 0.46/0.68 (define @t36 () (lambda @t35 @t34)) % 0.46/0.68 (define @t37 () (@list @t19 @t4 @t26 @t22 @t14)) % 0.46/0.68 (define @t38 () (lambda @t37 (_ tptp.eps @t36))) % 0.46/0.68 (define @t39 () (@var "BOUND_VARIABLE_7696" Bool)) % 0.46/0.68 (define @t40 () (@list @t39)) % 0.46/0.68 (define @t41 () (lambda @t40 true)) % 0.46/0.68 (define @t42 () (@purify @t41)) % 0.46/0.68 (define @t43 () (= tptp.f @t42)) % 0.46/0.68 (define @t44 () (= @t41 tptp.f)) % 0.46/0.68 (define @t45 () (@purify @t44)) % 0.46/0.68 (define @t46 () (@var "BOUND_VARIABLE_7766" Bool)) % 0.46/0.68 (define @t47 () (lambda (@list @t46) false)) % 0.46/0.68 (define @t48 () (@purify @t47)) % 0.46/0.68 (define @t49 () (= @t42 @t48)) % 0.46/0.68 (define @t50 () (= true false)) % 0.46/0.68 (define @t51 () (forall @t40 @t50)) % 0.46/0.68 (define @t52 () (= @t41 @t47)) % 0.46/0.68 (define @t53 () (not @t52)) % 0.46/0.68 (define @t54 () (not @t49)) % 0.46/0.68 (define @t55 () (= tptp.f @t48)) % 0.46/0.68 (define @t56 () (not @t55)) % 0.46/0.68 (define @t57 () (not @t43)) % 0.46/0.68 (define @t58 () (and @t43 @t54)) % 0.46/0.68 (define @t59 () (@var "BOUND_VARIABLE_7718" Bool)) % 0.46/0.68 (define @t60 () (= @t59 false)) % 0.46/0.68 (define @t61 () (ite @t60 false true)) % 0.46/0.68 (define @t62 () (@list @t59)) % 0.46/0.68 (define @t63 () (lambda @t62 @t61)) % 0.46/0.68 (define @t64 () (@purify @t63)) % 0.46/0.68 (define @t65 () (= @t42 @t64)) % 0.46/0.68 (define @t66 () (not @t39)) % 0.46/0.68 (define @t67 () (or @t39 @t39)) % 0.46/0.68 (define @t68 () (forall @t40 (= true @t39))) % 0.46/0.68 (define @t69 () (= @t41 @t63)) % 0.46/0.68 (define @t70 () (not @t69)) % 0.46/0.68 (define @t71 () (= false @t59)) % 0.46/0.68 (define @t72 () (not true)) % 0.46/0.68 (define @t73 () (not @t60)) % 0.46/0.68 (define @t74 () (not @t65)) % 0.46/0.68 (define @t75 () (= tptp.f @t64)) % 0.46/0.68 (define @t76 () (not @t75)) % 0.46/0.68 (define @t77 () (and @t43 @t74)) % 0.46/0.68 (define @t78 () (@var "BOUND_VARIABLE_7742" Bool)) % 0.46/0.68 (define @t79 () (= @t78 true)) % 0.46/0.68 (define @t80 () (ite @t79 false true)) % 0.46/0.68 (define @t81 () (@list @t78)) % 0.46/0.68 (define @t82 () (lambda @t81 @t80)) % 0.46/0.68 (define @t83 () (@purify @t82)) % 0.46/0.68 (define @t84 () (= @t42 @t83)) % 0.46/0.68 (define @t85 () (or @t66 @t66)) % 0.46/0.68 (define @t86 () (forall @t40 (= true @t66))) % 0.46/0.68 (define @t87 () (= @t41 @t82)) % 0.46/0.68 (define @t88 () (not @t87)) % 0.46/0.68 (define @t89 () (not @t79)) % 0.46/0.68 (define @t90 () (not @t78)) % 0.46/0.68 (define @t91 () (not @t84)) % 0.46/0.68 (define @t92 () (= tptp.f @t83)) % 0.46/0.68 (define @t93 () (not @t92)) % 0.46/0.68 (define @t94 () (and @t43 @t91)) % 0.46/0.68 (define @t95 () (= @t47 tptp.f)) % 0.46/0.68 (define @t96 () (@purify @t95)) % 0.46/0.68 (define @t97 () (not @t96)) % 0.46/0.68 (define @t98 () (= @t63 tptp.f)) % 0.46/0.68 (define @t99 () (@purify @t98)) % 0.46/0.68 (define @t100 () (not @t99)) % 0.46/0.68 (define @t101 () (= @t82 tptp.f)) % 0.46/0.68 (define @t102 () (@purify @t101)) % 0.46/0.68 (define @t103 () (not @t102)) % 0.46/0.68 (define @t104 () (@const 0 $$unsorted)) % 0.46/0.68 (define @t105 () (= @t4 @t15)) % 0.46/0.68 (define @t106 () (and @t44 @t105)) % 0.46/0.68 (define @t107 () (and @t98 @t105)) % 0.46/0.68 (define @t108 () (and @t101 @t105)) % 0.46/0.68 (define @t109 () (and @t95 @t105)) % 0.46/0.68 (define @t110 () (or @t109 @t108 @t107 @t106)) % 0.46/0.68 (define @t111 () (lambda @t35 @t110)) % 0.46/0.68 (define @t112 () (tptp.eps @t111)) % 0.46/0.68 (define @t113 () (forall @t6 (= @t4 @t112))) % 0.46/0.68 (define @t114 () (@quantifiers_skolemize @t113 0)) % 0.46/0.68 (define @t115 () (= @t114 @t104)) % 0.46/0.68 (define @t116 () (and @t96 @t115)) % 0.46/0.68 (define @t117 () (not @t116)) % 0.46/0.68 (define @t118 () (and @t99 @t115)) % 0.46/0.68 (define @t119 () (not @t118)) % 0.46/0.68 (define @t120 () (and @t102 @t115)) % 0.46/0.68 (define @t121 () (not @t120)) % 0.46/0.68 (define @t122 () (and @t45 @t115)) % 0.46/0.68 (define @t123 () (not @t115)) % 0.46/0.68 (define @t124 () (not @t45)) % 0.46/0.68 (define @t125 () (lambda @t35 @t110)) % 0.46/0.68 (define @t126 () (_ tptp.eps @t111)) % 0.46/0.68 (define @t127 () (= @t4 @t126)) % 0.46/0.68 (define @t128 () (= @t14 @t15)) % 0.46/0.68 (define @t129 () (and @t44 @t128)) % 0.46/0.68 (define @t130 () (lambda (@list @t14) (_ tptp.eps (lambda @t35 (or @t109 @t108 @t107 @t129))))) % 0.46/0.68 (define @t131 () (= @t22 @t15)) % 0.46/0.68 (define @t132 () (and @t98 @t131)) % 0.46/0.68 (define @t133 () (lambda (@list @t22 @t14) (_ tptp.eps (lambda @t35 (or @t109 @t108 @t132 @t129))))) % 0.46/0.68 (define @t134 () (= @t26 @t15)) % 0.46/0.68 (define @t135 () (_ tptp.eps (lambda @t35 (or @t109 (and @t101 @t134) @t132 @t129)))) % 0.46/0.68 (define @t136 () (lambda (@list @t26 @t22 @t14) @t135)) % 0.46/0.68 (define @t137 () (@list @t4 @t26 @t22 @t14)) % 0.46/0.68 (define @t138 () (and (= tptp.f @t41) @t128)) % 0.46/0.68 (define @t139 () (and (= tptp.f @t63) @t131)) % 0.46/0.68 (define @t140 () (and (= tptp.f @t82) @t134)) % 0.46/0.68 (define @t141 () (and (= tptp.f @t47) @t105)) % 0.46/0.68 (define @t142 () (or @t141 @t140 @t139 @t138)) % 0.46/0.68 (define @t143 () (lambda @t35 @t142)) % 0.46/0.68 (define @t144 () (lambda @t137 (_ tptp.eps @t143))) % 0.46/0.68 (define @t145 () (_ (lambda @t37 (_ tptp.eps (lambda @t35 (or (and (= @t19 @t47) @t105) (and (= @t19 @t82) @t134) (and (= @t19 @t63) @t131) (and (= @t19 @t41) @t128))))) tptp.f)) % 0.46/0.68 (define @t146 () (= (_ (_ (_ (_ @t145 @t4) @t4) @t4) @t4) @t4)) % 0.46/0.68 (define @t147 () (forall @t6 @t146)) % 0.46/0.68 (define @t148 () (@list @t16)) % 0.46/0.68 (define @t149 () (= @t15 @t114)) % 0.46/0.68 (define @t150 () (and @t45 @t149)) % 0.46/0.68 (define @t151 () (and @t99 @t149)) % 0.46/0.68 (define @t152 () (and @t102 @t149)) % 0.46/0.68 (define @t153 () (and @t96 @t149)) % 0.46/0.68 (define @t154 () (or @t153 @t152 @t151 @t150)) % 0.46/0.68 (define @t155 () (lambda @t35 @t154)) % 0.46/0.68 (define @t156 () (@purify @t155)) % 0.46/0.68 (define @t157 () (= @t114 (tptp.eps @t156))) % 0.46/0.68 (define @t158 () (not @t157)) % 0.46/0.68 (define @t159 () (not @t113)) % 0.46/0.68 (define @t160 () (lambda @t35 (or (and @t95 @t149) (and @t101 @t149) (and @t98 @t149) (and @t44 @t149)))) % 0.46/0.68 (define @t161 () (tptp.eps @t160)) % 0.46/0.68 (define @t162 () (= @t114 @t161)) % 0.46/0.68 (define @t163 () (not @t162)) % 0.46/0.68 (define @t164 () (= @t114 @t15)) % 0.46/0.68 (define @t165 () (and @t44 @t164)) % 0.46/0.68 (define @t166 () (and @t98 @t164)) % 0.46/0.68 (define @t167 () (and @t101 @t164)) % 0.46/0.68 (define @t168 () (and @t95 @t164)) % 0.46/0.68 (define @t169 () (or @t168 @t167 @t166 @t165)) % 0.46/0.68 (define @t170 () (lambda @t35 @t169)) % 0.46/0.68 (define @t171 () (tptp.eps @t170)) % 0.46/0.68 (define @t172 () (= @t114 @t171)) % 0.46/0.68 (define @t173 () (not @t172)) % 0.46/0.68 (define @t174 () (@list true)) % 0.46/0.68 (define @t175 () (tptp.eps @t1)) % 0.46/0.68 (define @t176 () (_ @t1 @t175)) % 0.46/0.68 (define @t177 () (@var "BOUND_VARIABLE_7520" $$unsorted)) % 0.46/0.68 (define @t178 () (not (_ @t1 @t177))) % 0.46/0.68 (define @t179 () (or @t178 @t176)) % 0.46/0.68 (define @t180 () (forall (@list @t1 @t177) @t179)) % 0.46/0.68 (define @t181 () (@list @t177)) % 0.46/0.68 (define @t182 () (forall @t181 @t179)) % 0.46/0.68 (define @t183 () (forall @t181 @t178)) % 0.46/0.68 (define @t184 () (or @t183 @t176)) % 0.46/0.68 (define @t185 () (_ @t1 @t4)) % 0.46/0.68 (define @t186 () (forall @t6 (not @t185))) % 0.46/0.68 (define @t187 () (or @t186 @t3)) % 0.46/0.68 (define @t188 () (not @t186)) % 0.46/0.68 (define @t189 () (not @t5)) % 0.46/0.68 (define @t190 () (forall @t6 @t189)) % 0.46/0.68 (define @t191 () (not @t190)) % 0.46/0.68 (define @t192 () (@var "BOUND_VARIABLE_15920" $$unsorted)) % 0.46/0.68 (define @t193 () (@list @t192)) % 0.46/0.68 (define @t194 () (lambda @t193 (= @t114 @t192))) % 0.46/0.68 (define @t195 () (@purify @t194)) % 0.46/0.68 (define @t196 () (tptp.eps @t194)) % 0.46/0.68 (define @t197 () (= @t114 @t196)) % 0.46/0.68 (define @t198 () (lambda @t193 (= @t192 @t114))) % 0.46/0.68 (define @t199 () (tptp.eps @t198)) % 0.46/0.68 (define @t200 () (_ @t198 @t199)) % 0.46/0.68 (define @t201 () (_ @t198 @t114)) % 0.46/0.68 (define @t202 () (not @t201)) % 0.46/0.68 (define @t203 () (or @t202 @t200)) % 0.46/0.68 (define @t204 () (tptp.eps @t195)) % 0.46/0.68 (define @t205 () (= @t114 @t204)) % 0.46/0.68 (define @t206 () (@list false)) % 0.46/0.68 (define @t207 () (= @t156 @t195)) % 0.46/0.68 (define @t208 () (and @t205 @t207)) % 0.46/0.68 (define @t209 () (not @t207)) % 0.46/0.68 (define @t210 () (or @t116 @t120 @t118 @t122)) % 0.46/0.68 (define @t211 () (= (_ @t194 @t104) @t115)) % 0.46/0.68 (define @t212 () (_ @t195 @t104)) % 0.46/0.68 (define @t213 () (or (and @t95 @t115) (and @t101 @t115) (and @t98 @t115) (and @t44 @t115))) % 0.46/0.68 (define @t214 () (= @t104 @t114)) % 0.46/0.68 (define @t215 () (and @t44 @t214)) % 0.46/0.68 (define @t216 () (and @t98 @t214)) % 0.46/0.68 (define @t217 () (and @t101 @t214)) % 0.46/0.68 (define @t218 () (and @t95 @t214)) % 0.46/0.68 (define @t219 () (or @t218 @t217 @t216 @t215)) % 0.46/0.68 (define @t220 () (_ @t160 @t104)) % 0.46/0.68 (define @t221 () (_ @t156 @t104)) % 0.46/0.68 (define @t222 () (= @t221 @t212)) % 0.46/0.68 (define @t223 () (not @t222)) % 0.46/0.68 (define @t224 () (or @t207 @t223)) % 0.46/0.68 (define @t225 () (= @t115 @t210)) % 0.46/0.68 (define @t226 () (@list true true false)) % 0.46/0.68 (define @t227 () (not @t122)) % 0.46/0.68 (define @t228 () (@const 1 Bool)) % 0.46/0.68 (define @t229 () (@purify @t228)) % 0.46/0.68 (define @t230 () (tptp.f @t229)) % 0.46/0.68 (define @t231 () (_ @t42 @t228)) % 0.46/0.68 (define @t232 () (tptp.f @t228)) % 0.46/0.68 (define @t233 () (= @t232 @t231)) % 0.46/0.68 (define @t234 () (not @t233)) % 0.46/0.68 (define @t235 () (or @t43 @t234)) % 0.46/0.68 (define @t236 () (not @t230)) % 0.46/0.68 (define @t237 () (@list @t43)) % 0.46/0.68 (define @t238 () (= @t229 @t230)) % 0.46/0.68 (define @t239 () (not @t229)) % 0.46/0.68 (define @t240 () (=> @t75 (= @t230 @t229))) % 0.46/0.68 (define @t241 () (@const 2 Bool)) % 0.46/0.68 (define @t242 () (@purify @t241)) % 0.46/0.68 (define @t243 () (tptp.f @t242)) % 0.46/0.68 (define @t244 () (= @t241 false)) % 0.46/0.68 (define @t245 () (not @t244)) % 0.46/0.68 (define @t246 () (_ @t63 @t241)) % 0.46/0.68 (define @t247 () (_ @t64 @t242)) % 0.46/0.68 (define @t248 () (_ @t64 @t241)) % 0.46/0.68 (define @t249 () (tptp.f @t241)) % 0.46/0.68 (define @t250 () (= @t249 @t248)) % 0.46/0.68 (define @t251 () (not @t250)) % 0.46/0.68 (define @t252 () (or @t75 @t251)) % 0.46/0.68 (define @t253 () (= @t83 @t48)) % 0.46/0.68 (define @t254 () (or @t78 @t78)) % 0.46/0.68 (define @t255 () (forall @t81 (= @t80 false))) % 0.46/0.68 (define @t256 () (= @t82 @t47)) % 0.46/0.68 (define @t257 () (not @t256)) % 0.46/0.68 (define @t258 () (not @t253)) % 0.46/0.68 (define @t259 () (and @t92 @t258)) % 0.46/0.68 (define @t260 () (@const 3 Bool)) % 0.46/0.68 (define @t261 () (@purify @t260)) % 0.46/0.68 (define @t262 () (tptp.f @t261)) % 0.46/0.68 (define @t263 () (not @t261)) % 0.46/0.68 (define @t264 () (not @t260)) % 0.46/0.68 (define @t265 () (= @t260 true)) % 0.46/0.68 (define @t266 () (not @t265)) % 0.46/0.68 (define @t267 () (_ @t82 @t260)) % 0.46/0.68 (define @t268 () (_ @t83 @t260)) % 0.46/0.68 (define @t269 () (tptp.f @t260)) % 0.46/0.68 (define @t270 () (= @t269 @t268)) % 0.46/0.68 (define @t271 () (not @t270)) % 0.46/0.68 (define @t272 () (or @t92 @t271)) % 0.46/0.68 (define @t273 () (@const 4 Bool)) % 0.46/0.68 (define @t274 () (@purify @t273)) % 0.46/0.68 (define @t275 () (tptp.f @t274)) % 0.46/0.68 (define @t276 () (_ @t47 @t273)) % 0.46/0.68 (define @t277 () (_ @t48 @t274)) % 0.46/0.68 (define @t278 () (_ @t48 @t273)) % 0.46/0.68 (define @t279 () (tptp.f @t273)) % 0.46/0.68 (define @t280 () (= @t279 @t278)) % 0.46/0.68 (define @t281 () (not @t280)) % 0.46/0.68 (define @t282 () (or @t55 @t281)) % 0.46/0.68 (define @t283 () (= @t263 @t262)) % 0.46/0.68 (define @t284 () (not @t262)) % 0.46/0.68 (define @t285 () (not @t236)) % 0.46/0.68 (define @t286 () (and @t229 @t236 @t261)) % 0.46/0.68 (define @t287 () (not @t263)) % 0.46/0.68 (define @t288 () (not @t275)) % 0.46/0.68 (define @t289 () (not @t274)) % 0.46/0.68 (define @t290 () (not @t289)) % 0.46/0.68 (define @t291 () (and @t263 @t275 @t289)) % 0.46/0.68 (define @t292 () (@list @t262)) % 0.46/0.68 (define @t293 () (= @t242 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@t1 @t175) @t176))) % 0.46/0.68 (step @p475 :rule symm :premises (@p474)) % 0.46/0.68 (step @p476 :rule refl :args (@t3)) % 0.46/0.68 (step @p477 :rule eq_resolve :premises (@p476 @p475)) % 0.46/0.68 (step @p478 :rule refl :args (@t2)) % 0.46/0.68 (step @p479 :rule cong :premises (@p478 @p469) :args ((= @t2 @t175))) % 0.46/0.68 (step @p480 :rule symm :premises (@p479)) % 0.46/0.68 (step @p481 :rule eq_resolve :premises (@p478 @p480)) % 0.46/0.68 (step @p482 :rule ho_cong :premises (@p472 @p481)) % 0.46/0.68 (step @p483 :rule trans :premises (@p482 @p477)) % 0.46/0.68 (step @p484 :rule refl :args (@t186)) % 0.46/0.68 (step @p485 :rule nary_cong :premises (@p484 @p483) :args (@t187)) % 0.46/0.68 (step @p486 :rule cong :premises (@p485) :args ((forall @t9 @t187))) % 0.46/0.68 (step @p487 :rule trans :premises (@p486 @p467)) % 0.46/0.68 (step @p488 :rule bool-double-not-elim :args (@t186)) % 0.46/0.68 (step @p489 :rule nary_cong :premises (@p488 @p476) :args ((or (not @t188) @t3))) % 0.46/0.68 (step @p490 :rule bool-impl-elim :args (@t188 @t3)) % 0.46/0.68 (step @p491 :rule trans :premises (@p490 @p489)) % 0.46/0.68 (step @p492 :rule cong :premises (@p491) :args ((forall @t9 (=> @t188 @t3)))) % 0.46/0.68 (step @p493 :rule trans :premises (@p492 @p487)) % 0.46/0.68 (step @p494 :rule refl :args (@t3)) % 0.46/0.68 (step @p495 :rule refl :args (@t185)) % 0.46/0.68 (step @p496 :rule refl :args (@t5)) % 0.46/0.68 (step @p497 :rule cong :premises (@p496 @p495) :args ((= @t5 @t185))) % 0.46/0.68 (step @p498 :rule symm :premises (@p497)) % 0.46/0.68 (step @p499 :rule eq_resolve :premises (@p496 @p498)) % 0.46/0.68 (step @p500 :rule cong :premises (@p499) :args (@t189)) % 0.46/0.68 (step @p501 :rule cong :premises (@p500) :args (@t190)) % 0.46/0.68 (step @p502 :rule cong :premises (@p501) :args (@t191)) % 0.46/0.68 (step @p503 :rule exists-elim :args ((= @t7 @t191))) % 0.46/0.68 (step @p504 :rule trans :premises (@p503 @p502)) % 0.46/0.68 (step @p505 :rule cong :premises (@p504 @p494) :args (@t8)) % 0.46/0.68 (step @p506 :rule cong :premises (@p505) :args (@t10)) % 0.46/0.68 (step @p507 :rule trans :premises (@p506 @p493)) % 0.46/0.68 (step @p508 :rule eq_resolve :premises (@p1 @p507)) % 0.46/0.68 (step @p509 :rule eq-refl :args (@t194)) % 0.46/0.68 (step @p510 :rule skolem_intro :args (@t195)) % 0.46/0.68 (step @p511 :rule refl :args (@t194)) % 0.46/0.68 (step @p512 :rule cong :premises (@p511 @p510) :args ((= @t194 @t195))) % 0.46/0.68 (step @p513 :rule trans :premises (@p512 @p509)) % 0.46/0.68 (step @p514 :rule true_elim :premises (@p513)) % 0.46/0.68 (step @p515 :rule cong :premises (@p514) :args (@t196)) % 0.46/0.68 (step @p516 :rule cong :premises (@p430 @p515) :args (@t197)) % 0.46/0.68 (step @p517 :rule refl :args (@t180)) % 0.46/0.68 (step @p518 :rule cong :premises (@p517 @p516) :args ((=> @t180 @t197))) % 0.46/0.68 (step @p519 :rule aci_norm :args ((= (or false @t197) @t197))) % 0.46/0.68 (step @p520 :rule eq-symm :args (@t196 @t114)) % 0.46/0.68 (step @p521 :rule beta-reduce :args ((= (_ @t198 @t196) (= @t196 @t114)))) % 0.46/0.68 (step @p522 :rule trans :premises (@p521 @p520)) % 0.46/0.68 (step @p523 :rule eq-symm :args (@t192 @t114)) % 0.46/0.68 (step @p524 :rule cong :premises (@p523) :args (@t198)) % 0.46/0.68 (step @p525 :rule cong :premises (@p524) :args (@t199)) % 0.46/0.68 (step @p526 :rule cong :premises (@p525) :args (@t200)) % 0.46/0.68 (step @p527 :rule trans :premises (@p526 @p522)) % 0.46/0.68 (step @p528 :rule eq-refl :args (@t114)) % 0.46/0.68 (step @p529 :rule beta-reduce :args ((= @t201 (= @t114 @t114)))) % 0.46/0.68 (step @p530 :rule trans :premises (@p529 @p528)) % 0.46/0.68 (step @p531 :rule cong :premises (@p530) :args (@t202)) % 0.46/0.68 (step @p532 :rule trans :premises (@p531 @p167)) % 0.46/0.68 (step @p533 :rule nary_cong :premises (@p532 @p527) :args (@t203)) % 0.46/0.68 (step @p534 :rule trans :premises (@p533 @p519)) % 0.46/0.68 (step @p535 :rule cong :premises (@p517 @p534) :args ((=> @t180 @t203))) % 0.46/0.68 (assume-push @p1075 @t180) % 0.46/0.68 (step @p537 :rule instantiate :premises (@p508) :args ((@list @t198 @t114))) % 0.46/0.68 (step-pop @p1076 :rule scope :premises (@p537)) % 0.46/0.68 (step @p538 :rule process_scope :premises (@p1076) :args (@t203)) % 0.46/0.68 (step @p540 :rule eq_resolve :premises (@p538 @p535)) % 0.46/0.68 (step @p541 :rule eq_resolve :premises (@p540 @p518)) % 0.46/0.68 (step @p542 :rule implies_elim :premises (@p541)) % 0.46/0.68 (step @p543 :rule chain_m_resolution :premises (@p542 @p508) :args (@t205 @t206 (@list @t180))) % 0.46/0.68 (assume-push @p1077 @t205) % 0.46/0.68 (assume-push @p1078 @t207) % 0.46/0.68 (assume-push @p1079 @t207) % 0.46/0.68 (assume-push @p1080 @t205) % 0.46/0.68 (step @p548 :rule symm :premises (@p1078)) % 0.46/0.68 (step @p549 :rule cong :premises (@p548) :args (@t204)) % 0.46/0.68 (step @p550 :rule trans :premises (@p543 @p549)) % 0.46/0.68 (step-pop @p1081 :rule scope :premises (@p550)) % 0.46/0.68 (step-pop @p1082 :rule scope :premises (@p1081)) % 0.46/0.68 (step @p551 :rule process_scope :premises (@p1082) :args (@t157)) % 0.46/0.68 (step @p554 :rule and_intro :premises (@p1078 @p543)) % 0.46/0.68 (step @p555 :rule modus_ponens :premises (@p554 @p551)) % 0.46/0.68 (step-pop @p1083 :rule scope :premises (@p555)) % 0.46/0.68 (step-pop @p1084 :rule scope :premises (@p1083)) % 0.46/0.68 (step @p556 :rule process_scope :premises (@p1084) :args (@t157)) % 0.46/0.68 (step @p559 :rule implies_elim :premises (@p556)) % 0.46/0.68 (step @p560 :rule cnf_and_neg :args (@t208)) % 0.46/0.68 (step @p561 :rule resolution :premises (@p560 @p559) :args (true @t208)) % 0.46/0.68 (step @p562 :rule reordering :premises (@p561) :args ((or @t157 (not @t205) @t209))) % 0.46/0.68 (step @p563 :rule chain_m_resolution :premises (@p562 @p543 @p458) :args (@t209 (@list false true) (@list @t205 @t157))) % 0.46/0.68 (step @p564 :rule eq-symm :args (@t210 @t115)) % 0.46/0.68 (step @p565 :rule eq-refl :args (@t115)) % 0.46/0.68 (step @p566 :rule refl :args (@t115)) % 0.46/0.68 (step @p567 :rule beta-reduce :args (@t211)) % 0.46/0.68 (step @p568 :rule cong :premises (@p567 @p566) :args (@t211)) % 0.46/0.68 (step @p569 :rule trans :premises (@p568 @p565)) % 0.46/0.68 (step @p570 :rule refl :args (@t104)) % 0.46/0.68 (step @p571 :rule ho_cong :premises (@p510 @p570)) % 0.46/0.68 (step @p572 :rule cong :premises (@p571 @p566) :args ((= @t212 @t115))) % 0.46/0.68 (step @p573 :rule trans :premises (@p572 @p569)) % 0.46/0.68 (step @p574 :rule true_elim :premises (@p573)) % 0.46/0.68 (step @p575 :rule eq-refl :args (@t213)) % 0.46/0.68 (step @p576 :rule eq-symm :args (@t104 @t114)) % 0.46/0.68 (step @p577 :rule nary_cong :premises (@p436 @p576) :args (@t215)) % 0.46/0.68 (step @p578 :rule nary_cong :premises (@p438 @p576) :args (@t216)) % 0.46/0.68 (step @p579 :rule nary_cong :premises (@p440 @p576) :args (@t217)) % 0.46/0.68 (step @p580 :rule nary_cong :premises (@p442 @p576) :args (@t218)) % 0.46/0.68 (step @p581 :rule nary_cong :premises (@p580 @p579 @p578 @p577) :args (@t219)) % 0.46/0.68 (step @p582 :rule beta-reduce :args ((= @t220 @t219))) % 0.46/0.68 (step @p583 :rule trans :premises (@p582 @p581)) % 0.46/0.68 (step @p584 :rule refl :args (@t213)) % 0.46/0.68 (step @p585 :rule cong :premises (@p584 @p583) :args ((= @t213 @t220))) % 0.46/0.68 (step @p586 :rule trans :premises (@p585 @p575)) % 0.46/0.68 (step @p587 :rule eq-symm :args (@t220 @t213)) % 0.46/0.68 (step @p588 :rule trans :premises (@p587 @p586)) % 0.46/0.68 (step @p589 :rule nary_cong :premises (@p25 @p566) :args (@t122)) % 0.46/0.68 (step @p590 :rule nary_cong :premises (@p278 @p566) :args (@t118)) % 0.46/0.68 (step @p591 :rule nary_cong :premises (@p298 @p566) :args (@t120)) % 0.46/0.68 (step @p592 :rule nary_cong :premises (@p258 @p566) :args (@t116)) % 0.46/0.68 (step @p593 :rule nary_cong :premises (@p592 @p591 @p590 @p589) :args (@t210)) % 0.46/0.68 (step @p594 :rule ho_cong :premises (@p424 @p570)) % 0.46/0.68 (step @p595 :rule cong :premises (@p594 @p593) :args ((= @t221 @t210))) % 0.46/0.68 (step @p596 :rule trans :premises (@p595 @p588)) % 0.46/0.68 (step @p597 :rule true_elim :premises (@p596)) % 0.46/0.68 (step @p598 :rule cong :premises (@p597 @p574) :args (@t222)) % 0.46/0.68 (step @p599 :rule trans :premises (@p598 @p564)) % 0.46/0.68 (step @p600 :rule cong :premises (@p599) :args (@t223)) % 0.46/0.68 (step @p601 :rule refl :args (@t207)) % 0.46/0.68 (step @p602 :rule nary_cong :premises (@p601 @p600) :args (@t224)) % 0.46/0.68 ; WARNING: add trust step for TRUST % 0.46/0.68 ; trust TRUST THEORY_LEMMA % 0.46/0.68 (step @p603 :rule trust :premises () :args (@t224)) % 0.46/0.68 (step @p604 :rule eq_resolve :premises (@p603 @p602)) % 0.46/0.68 (step @p605 :rule chain_m_resolution :premises (@p604 @p563) :args ((not @t225) @t174 (@list @t207))) % 0.46/0.68 (step @p606 :rule cnf_equiv_neg2 :args (@t225)) % 0.46/0.68 (step @p607 :rule cnf_or_neg :args (@t210 3)) % 0.46/0.68 (step @p608 :rule chain_m_resolution :premises (@p607 @p606 @p605 @p309) :args ((or @t124 @t123) @t226 (@list @t210 @t225 @t122))) % 0.46/0.68 (step @p609 :rule cnf_and_pos :args (@t122 1)) % 0.46/0.68 (step @p610 :rule reordering :premises (@p609) :args ((or @t115 @t227))) % 0.46/0.68 (step @p611 :rule cnf_equiv_neg1 :args (@t225)) % 0.46/0.68 (step @p612 :rule reordering :premises (@p611) :args ((or @t115 @t210 @t225))) % 0.46/0.68 (step @p613 :rule cnf_or_pos :args (@t210)) % 0.46/0.68 (step @p614 :rule reordering :premises (@p613) :args ((or @t116 @t120 @t118 @t122 (not @t210)))) % 0.46/0.68 (step @p615 :rule chain_m_resolution :premises (@p614 @p612 @p605 @p610 @p608 @p307 @p305 @p303 @p301 @p281 @p261 @p241 @p216 @p165 @p140 @p76 @p50 @p27) :args (@t57 (@list false true true true true true true true true true true true true true true true false) (@list @t210 @t225 @t122 @t115 @t120 @t118 @t116 @t102 @t99 @t96 @t92 @t84 @t75 @t65 @t55 @t49 @t45))) % 0.46/0.68 (step @p616 :rule bool-eq-true :args (@t230)) % 0.46/0.68 (step @p617 :rule beta-reduce :args ((= (_ @t41 @t228) true))) % 0.46/0.68 (step @p618 :rule skolem_intro :args (@t229)) % 0.46/0.68 (step @p619 :rule ho_cong :premises (@p15 @p618)) % 0.46/0.68 (step @p620 :rule bool-eq-true :args ((_ @t42 @t229))) % 0.46/0.68 (step @p621 :rule trans :premises (@p620 @p619 @p617)) % 0.46/0.68 (step @p622 :rule true_elim :premises (@p621)) % 0.46/0.68 (step @p623 :rule eq-refl :args (@t228)) % 0.46/0.68 (step @p624 :rule refl :args (@t228)) % 0.46/0.68 (step @p625 :rule cong :premises (@p624 @p618) :args ((= @t228 @t229))) % 0.46/0.68 (step @p626 :rule trans :premises (@p625 @p623)) % 0.46/0.68 (step @p627 :rule true_elim :premises (@p626)) % 0.46/0.68 (step @p628 :rule cong :premises (@p627) :args (@t231)) % 0.46/0.68 (step @p629 :rule trans :premises (@p628 @p622)) % 0.46/0.68 (step @p630 :rule cong :premises (@p627) :args (@t232)) % 0.46/0.68 (step @p631 :rule cong :premises (@p630 @p629) :args (@t233)) % 0.46/0.68 (step @p632 :rule trans :premises (@p631 @p616)) % 0.46/0.68 (step @p633 :rule cong :premises (@p632) :args (@t234)) % 0.46/0.68 (step @p634 :rule refl :args (@t43)) % 0.46/0.68 (step @p635 :rule nary_cong :premises (@p634 @p633) :args (@t235)) % 0.46/0.68 ; trust TRUST THEORY_LEMMA % 0.46/0.68 (step @p636 :rule trust :premises () :args (@t235)) % 0.46/0.68 (step @p637 :rule eq_resolve :premises (@p636 @p635)) % 0.46/0.68 (step @p638 :rule chain_m_resolution :premises (@p637 @p615) :args (@t236 @t174 @t237)) % 0.46/0.68 (step @p639 :rule cnf_equiv_pos1 :args (@t238)) % 0.46/0.68 (step @p640 :rule reordering :premises (@p639) :args ((or @t230 @t239 (not @t238)))) % 0.46/0.68 (step @p641 :rule eq-symm :args (@t230 @t229)) % 0.46/0.68 (step @p642 :rule refl :args (@t75)) % 0.46/0.68 (step @p643 :rule cong :premises (@p642 @p641) :args (@t240)) % 0.46/0.68 ; trust TRUST THEORY_LEMMA % 0.46/0.68 (step @p644 :rule trust :premises () :args (@t240)) % 0.46/0.68 (step @p645 :rule eq_resolve :premises (@p644 @p643)) % 0.46/0.68 (step @p646 :rule implies_elim :premises (@p645)) % 0.46/0.68 (step @p647 :rule eq-symm :args (@t243 @t242)) % 0.46/0.68 (step @p648 :rule eq-refl :args (@t241)) % 0.46/0.68 (step @p649 :rule bool-double-not-elim :args (@t241)) % 0.46/0.68 (step @p650 :rule bool-eq-false :args (@t241)) % 0.46/0.68 (step @p651 :rule cong :premises (@p650) :args (@t245)) % 0.46/0.68 (step @p652 :rule trans :premises (@p651 @p649)) % 0.46/0.68 (step @p653 :rule aci_norm :args ((= (and @t245 true) @t245))) % 0.46/0.68 (step @p654 :rule ite-then-false :args (@t244 true)) % 0.46/0.68 (step @p655 :rule trans :premises (@p654 @p653)) % 0.46/0.68 (step @p656 :rule trans :premises (@p655 @p652)) % 0.46/0.68 (step @p657 :rule beta-reduce :args ((= @t246 (ite @t244 false true)))) % 0.46/0.68 (step @p658 :rule trans :premises (@p657 @p656)) % 0.46/0.68 (step @p659 :rule refl :args (@t241)) % 0.46/0.68 (step @p660 :rule cong :premises (@p659 @p658) :args ((= @t241 @t246))) % 0.46/0.68 (step @p661 :rule trans :premises (@p660 @p648)) % 0.46/0.68 (step @p662 :rule skolem_intro :args (@t242)) % 0.46/0.68 (step @p663 :rule ho_cong :premises (@p135 @p662)) % 0.46/0.68 (step @p664 :rule cong :premises (@p662 @p663) :args ((= @t242 @t247))) % 0.46/0.68 (step @p665 :rule eq-symm :args (@t247 @t242)) % 0.46/0.68 (step @p666 :rule trans :premises (@p665 @p664 @p661)) % 0.46/0.68 (step @p667 :rule true_elim :premises (@p666)) % 0.46/0.68 (step @p668 :rule cong :premises (@p659 @p662) :args ((= @t241 @t242))) % 0.46/0.68 (step @p669 :rule trans :premises (@p668 @p648)) % 0.46/0.68 (step @p670 :rule true_elim :premises (@p669)) % 0.46/0.68 (step @p671 :rule cong :premises (@p670) :args (@t248)) % 0.46/0.68 (step @p672 :rule trans :premises (@p671 @p667)) % 0.46/0.68 (step @p673 :rule cong :premises (@p670) :args (@t249)) % 0.46/0.68 (step @p674 :rule cong :premises (@p673 @p672) :args (@t250)) % 0.46/0.68 (step @p675 :rule trans :premises (@p674 @p647)) % 0.46/0.68 (step @p676 :rule cong :premises (@p675) :args (@t251)) % 0.46/0.68 (step @p677 :rule nary_cong :premises (@p642 @p676) :args (@t252)) % 0.46/0.68 ; trust TRUST THEORY_LEMMA % 0.46/0.68 (step @p678 :rule trust :premises () :args (@t252)) % 0.46/0.68 (step @p679 :rule eq_resolve :premises (@p678 @p677)) % 0.46/0.68 (step @p680 :rule equiv_elim2 :premises (@p299)) % 0.46/0.68 (step @p681 :rule bool-impl-false1 :args (@t253)) % 0.46/0.68 (step @p682 :rule quant-var-elim-eq :args ((= (forall @t81 (or (not (= @t78 false)) @t78)) false))) % 0.46/0.68 (step @p683 :rule refl :args (@t78)) % 0.46/0.68 (step @p684 :rule bool-eq-false :args (@t78)) % 0.46/0.68 (step @p685 :rule symm :premises (@p684)) % 0.46/0.68 (step @p686 :rule cong :premises (@p685) :args ((not @t90))) % 0.46/0.68 (step @p687 :rule bool-double-not-elim :args (@t78)) % 0.46/0.68 (step @p688 :rule symm :premises (@p687)) % 0.46/0.68 (step @p689 :rule trans :premises (@p688 @p686)) % 0.46/0.68 (step @p690 :rule nary_cong :premises (@p689 @p683) :args (@t254)) % 0.46/0.68 (step @p691 :rule aci_norm :args ((= @t78 @t254))) % 0.46/0.68 (step @p692 :rule trans :premises (@p691 @p690)) % 0.46/0.68 (step @p693 :rule cong :premises (@p692) :args ((forall @t81 @t78))) % 0.46/0.68 (step @p694 :rule trans :premises (@p693 @p682)) % 0.46/0.68 (step @p695 :rule cong :premises (@p204) :args ((not @t80))) % 0.46/0.68 (step @p696 :rule trans :premises (@p695 @p687)) % 0.46/0.68 (step @p697 :rule bool-eq-false :args (@t80)) % 0.46/0.68 (step @p698 :rule trans :premises (@p697 @p696)) % 0.46/0.68 (step @p699 :rule cong :premises (@p698) :args (@t255)) % 0.46/0.68 (step @p700 :rule trans :premises (@p699 @p694)) % 0.46/0.68 (step @p701 :rule refl :args (@t253)) % 0.46/0.68 (step @p702 :rule cong :premises (@p701 @p700) :args ((=> @t253 @t255))) % 0.46/0.68 (step @p703 :rule trans :premises (@p702 @p681)) % 0.46/0.68 ; trust DISTINCT_VALUES % 0.46/0.68 (step @p704 :rule trust :premises () :args (@t257)) % 0.46/0.68 (step @p705 :rule false_intro :premises (@p704)) % 0.46/0.68 (step @p706 :rule cong :premises (@p206 @p40) :args (@t256)) % 0.46/0.68 (step @p707 :rule trans :premises (@p706 @p705)) % 0.46/0.68 (step @p708 :rule cong :premises (@p707) :args (@t257)) % 0.46/0.68 (step @p709 :rule trans :premises (@p708 @p36)) % 0.46/0.68 (step @p710 :rule cong :premises (@p211 @p45) :args (@t253)) % 0.46/0.68 (step @p711 :rule cong :premises (@p710) :args (@t258)) % 0.46/0.68 (step @p712 :rule trans :premises (@p703 @p711 @p709)) % 0.46/0.68 (step @p713 :rule true_elim :premises (@p712)) % 0.46/0.68 (step @p714 :rule eq_resolve :premises (@p713 @p703)) % 0.46/0.68 (step @p715 :rule bool-double-not-elim :args (@t253)) % 0.46/0.68 (step @p716 :rule nary_cong :premises (@p217 @p715 @p51) :args ((or @t93 (not @t258) @t56))) % 0.46/0.68 (assume-push @p1085 @t92) % 0.46/0.68 (assume-push @p1086 @t258) % 0.46/0.68 (assume-push @p1087 @t258) % 0.46/0.68 (assume-push @p1088 @t92) % 0.46/0.68 (step @p721 :rule false_intro :premises (@p714)) % 0.46/0.68 (step @p60 :rule refl :args (@t48)) % 0.46/0.68 (step @p722 :rule cong :premises (@p1085 @p60) :args (@t55)) % 0.46/0.68 (step @p723 :rule trans :premises (@p722 @p721)) % 0.46/0.68 (step @p724 :rule false_elim :premises (@p723)) % 0.46/0.68 (step-pop @p1089 :rule scope :premises (@p724)) % 0.46/0.68 (step-pop @p1090 :rule scope :premises (@p1089)) % 0.46/0.68 (step @p725 :rule process_scope :premises (@p1090) :args (@t56)) % 0.46/0.68 (step @p728 :rule and_intro :premises (@p714 @p1085)) % 0.46/0.68 (step @p729 :rule modus_ponens :premises (@p728 @p725)) % 0.46/0.68 (step-pop @p1091 :rule scope :premises (@p729)) % 0.46/0.68 (step-pop @p1092 :rule scope :premises (@p1091)) % 0.46/0.68 (step @p730 :rule process_scope :premises (@p1092) :args (@t56)) % 0.46/0.68 (step @p733 :rule implies_elim :premises (@p730)) % 0.46/0.68 (step @p734 :rule cnf_and_neg :args (@t259)) % 0.46/0.68 (step @p735 :rule resolution :premises (@p734 @p733) :args (true @t259)) % 0.46/0.68 (step @p736 :rule eq_resolve :premises (@p735 @p716)) % 0.46/0.68 (step @p737 :rule reordering :premises (@p736) :args ((or @t93 @t56 @t253))) % 0.46/0.68 (step @p738 :rule cnf_and_neg :args (@t120)) % 0.46/0.68 (step @p739 :rule reordering :premises (@p738) :args ((or @t103 @t120 @t123))) % 0.46/0.68 (step @p740 :rule cnf_or_neg :args (@t210 1)) % 0.46/0.68 (step @p741 :rule chain_m_resolution :premises (@p740 @p606 @p605 @p739) :args ((or @t103 @t123) @t226 (@list @t210 @t225 @t120))) % 0.46/0.68 (step @p742 :rule cnf_and_pos :args (@t120 1)) % 0.46/0.68 (step @p743 :rule reordering :premises (@p742) :args ((or @t115 @t121))) % 0.46/0.68 (step @p744 :rule equiv_elim1 :premises (@p26)) % 0.46/0.68 (step @p745 :rule reordering :premises (@p744) :args ((or @t43 @t124))) % 0.46/0.68 (step @p746 :rule chain_m_resolution :premises (@p745 @p615) :args (@t124 @t174 @t237)) % 0.46/0.68 (step @p747 :rule cnf_and_pos :args (@t122 0)) % 0.46/0.68 (step @p748 :rule reordering :premises (@p747) :args ((or @t45 @t227))) % 0.46/0.68 (step @p749 :rule chain_m_resolution :premises (@p748 @p746) :args (@t227 @t174 (@list @t45))) % 0.46/0.68 (step @p750 :rule chain_m_resolution :premises (@p614 @p749 @p612 @p605 @p743 @p741 @p303 @p261 @p737 @p714 @p680) :args ((or @t93 @t118) (@list true false true true true true true true true false) (@list @t122 @t210 @t225 @t120 @t115 @t116 @t96 @t55 @t253 @t102))) % 0.46/0.68 (step @p751 :rule eq-symm :args (@t262 @t263)) % 0.46/0.68 (step @p752 :rule eq-refl :args (@t264)) % 0.46/0.68 (step @p753 :rule bool-eq-true :args (@t260)) % 0.46/0.68 (step @p754 :rule cong :premises (@p753) :args (@t266)) % 0.46/0.68 (step @p755 :rule aci_norm :args ((= (and @t266 true) @t266))) % 0.46/0.68 (step @p756 :rule ite-then-false :args (@t265 true)) % 0.46/0.68 (step @p757 :rule trans :premises (@p756 @p755)) % 0.46/0.68 (step @p758 :rule trans :premises (@p757 @p754)) % 0.46/0.68 (step @p759 :rule beta-reduce :args ((= @t267 (ite @t265 false true)))) % 0.46/0.68 (step @p760 :rule trans :premises (@p759 @p758)) % 0.46/0.68 (step @p761 :rule refl :args (@t264)) % 0.46/0.68 (step @p762 :rule cong :premises (@p761 @p760) :args ((= @t264 @t267))) % 0.46/0.68 (step @p763 :rule trans :premises (@p762 @p752)) % 0.46/0.68 (step @p764 :rule eq-symm :args (@t267 @t264)) % 0.46/0.68 (step @p765 :rule trans :premises (@p764 @p763)) % 0.46/0.68 (step @p766 :rule skolem_intro :args (@t261)) % 0.46/0.68 (step @p767 :rule cong :premises (@p766) :args (@t263)) % 0.46/0.68 (step @p768 :rule ho_cong :premises (@p211 @p766)) % 0.46/0.68 (step @p769 :rule cong :premises (@p768 @p767) :args ((= (_ @t83 @t261) @t263))) % 0.46/0.68 (step @p770 :rule trans :premises (@p769 @p765)) % 0.46/0.68 (step @p771 :rule true_elim :premises (@p770)) % 0.46/0.68 (step @p772 :rule eq-refl :args (@t260)) % 0.46/0.68 (step @p773 :rule refl :args (@t260)) % 0.46/0.68 (step @p774 :rule cong :premises (@p773 @p766) :args ((= @t260 @t261))) % 0.46/0.68 (step @p775 :rule trans :premises (@p774 @p772)) % 0.46/0.68 (step @p776 :rule true_elim :premises (@p775)) % 0.46/0.68 (step @p777 :rule cong :premises (@p776) :args (@t268)) % 0.46/0.68 (step @p778 :rule trans :premises (@p777 @p771)) % 0.46/0.68 (step @p779 :rule cong :premises (@p776) :args (@t269)) % 0.46/0.68 (step @p780 :rule cong :premises (@p779 @p778) :args (@t270)) % 0.46/0.68 (step @p781 :rule trans :premises (@p780 @p751)) % 0.46/0.68 (step @p782 :rule cong :premises (@p781) :args (@t271)) % 0.46/0.68 (step @p783 :rule refl :args (@t92)) % 0.46/0.68 (step @p784 :rule nary_cong :premises (@p783 @p782) :args (@t272)) % 0.46/0.68 ; trust TRUST THEORY_LEMMA % 0.46/0.68 (step @p785 :rule trust :premises () :args (@t272)) % 0.46/0.68 (step @p786 :rule eq_resolve :premises (@p785 @p784)) % 0.46/0.68 (step @p787 :rule cnf_and_pos :args (@t116 1)) % 0.46/0.68 (step @p788 :rule reordering :premises (@p787) :args ((or @t115 @t117))) % 0.46/0.68 (step @p789 :rule chain_m_resolution :premises (@p614 @p749 @p612 @p605 @p788 @p307 @p301 @p750) :args ((or @t115 @t118) (@list true false true true true true true) (@list @t122 @t210 @t225 @t116 @t120 @t102 @t92))) % 0.46/0.68 (step @p790 :rule cnf_and_neg :args (@t116)) % 0.46/0.68 (step @p791 :rule reordering :premises (@p790) :args ((or @t97 @t116 @t123))) % 0.46/0.68 (step @p792 :rule cnf_or_neg :args (@t210 0)) % 0.46/0.68 (step @p793 :rule chain_m_resolution :premises (@p792 @p606 @p605 @p791) :args ((or @t97 @t123) @t226 (@list @t210 @t225 @t116))) % 0.46/0.68 (step @p794 :rule equiv_elim2 :premises (@p259)) % 0.46/0.68 (step @p795 :rule bool-double-not-elim :args (@t275)) % 0.46/0.68 (step @p796 :rule bool-eq-false :args (@t275)) % 0.46/0.68 (step @p797 :rule beta-reduce :args ((= @t276 false))) % 0.46/0.68 (step @p798 :rule cong :premises (@p797) :args ((not @t276))) % 0.46/0.68 (step @p799 :rule trans :premises (@p798 @p36)) % 0.46/0.68 (step @p800 :rule skolem_intro :args (@t274)) % 0.46/0.68 (step @p801 :rule ho_cong :premises (@p45 @p800)) % 0.46/0.68 (step @p802 :rule cong :premises (@p801) :args ((not @t277))) % 0.46/0.68 (step @p803 :rule bool-eq-false :args (@t277)) % 0.46/0.68 (step @p804 :rule trans :premises (@p803 @p802 @p799)) % 0.46/0.68 (step @p805 :rule true_elim :premises (@p804)) % 0.46/0.68 (step @p806 :rule eq-refl :args (@t273)) % 0.46/0.68 (step @p807 :rule refl :args (@t273)) % 0.46/0.68 (step @p808 :rule cong :premises (@p807 @p800) :args ((= @t273 @t274))) % 0.46/0.68 (step @p809 :rule trans :premises (@p808 @p806)) % 0.46/0.68 (step @p810 :rule true_elim :premises (@p809)) % 0.46/0.68 (step @p811 :rule cong :premises (@p810) :args (@t278)) % 0.46/0.68 (step @p812 :rule trans :premises (@p811 @p805)) % 0.46/0.68 (step @p813 :rule cong :premises (@p810) :args (@t279)) % 0.46/0.68 (step @p814 :rule cong :premises (@p813 @p812) :args (@t280)) % 0.46/0.68 (step @p815 :rule trans :premises (@p814 @p796)) % 0.46/0.68 (step @p816 :rule cong :premises (@p815) :args (@t281)) % 0.46/0.68 (step @p817 :rule trans :premises (@p816 @p795)) % 0.46/0.68 (step @p818 :rule refl :args (@t55)) % 0.46/0.68 (step @p819 :rule nary_cong :premises (@p818 @p817) :args (@t282)) % 0.46/0.68 ; trust TRUST THEORY_LEMMA % 0.46/0.68 (step @p820 :rule trust :premises () :args (@t282)) % 0.46/0.68 (step @p821 :rule eq_resolve :premises (@p820 @p819)) % 0.46/0.68 (step @p822 :rule cnf_equiv_neg1 :args (@t283)) % 0.46/0.68 (step @p823 :rule reordering :premises (@p822) :args ((or @t263 @t262 @t283))) % 0.46/0.68 (step @p824 :rule refl :args (@t284)) % 0.46/0.68 (step @p825 :rule refl :args (@t263)) % 0.46/0.68 (step @p826 :rule bool-double-not-elim :args (@t230)) % 0.46/0.68 (step @p827 :rule refl :args (@t239)) % 0.46/0.68 (step @p828 :rule nary_cong :premises (@p827 @p826 @p825 @p824) :args ((or @t239 @t285 @t263 @t284))) % 0.46/0.68 (assume-push @p1093 @t229) % 0.46/0.68 (assume-push @p1094 @t236) % 0.46/0.68 (assume-push @p1095 @t261) % 0.46/0.68 (assume-push @p1096 @t236) % 0.46/0.68 (assume-push @p1097 @t229) % 0.46/0.68 (assume-push @p1098 @t261) % 0.46/0.68 (step @p835 :rule false_intro :premises (@p1094)) % 0.46/0.68 (step @p836 :rule true_intro :premises (@p1093)) % 0.46/0.68 (step @p837 :rule symm :premises (@p836)) % 0.46/0.68 (step @p838 :rule true_intro :premises (@p1095)) % 0.46/0.68 (step @p839 :rule trans :premises (@p838 @p837)) % 0.46/0.68 (step @p840 :rule cong :premises (@p839) :args (@t262)) % 0.46/0.68 (step @p841 :rule trans :premises (@p840 @p835)) % 0.46/0.68 (step @p842 :rule false_elim :premises (@p841)) % 0.46/0.68 (step-pop @p1099 :rule scope :premises (@p842)) % 0.46/0.68 (step-pop @p1100 :rule scope :premises (@p1099)) % 0.46/0.68 (step-pop @p1101 :rule scope :premises (@p1100)) % 0.46/0.68 (step @p843 :rule process_scope :premises (@p1101) :args (@t284)) % 0.46/0.68 (step @p847 :rule and_intro :premises (@p1094 @p1093 @p1095)) % 0.46/0.68 (step @p848 :rule modus_ponens :premises (@p847 @p843)) % 0.46/0.68 (step-pop @p1102 :rule scope :premises (@p848)) % 0.46/0.68 (step-pop @p1103 :rule scope :premises (@p1102)) % 0.46/0.68 (step-pop @p1104 :rule scope :premises (@p1103)) % 0.46/0.68 (step @p849 :rule process_scope :premises (@p1104) :args (@t284)) % 0.46/0.68 (step @p853 :rule implies_elim :premises (@p849)) % 0.46/0.68 (step @p854 :rule cnf_and_neg :args (@t286)) % 0.46/0.68 (step @p855 :rule resolution :premises (@p854 @p853) :args (true @t286)) % 0.46/0.68 (step @p856 :rule eq_resolve :premises (@p855 @p828)) % 0.46/0.68 (step @p857 :rule reordering :premises (@p856) :args ((or @t230 @t239 @t263 @t284))) % 0.46/0.68 (step @p858 :rule chain_m_resolution :premises (@p857 @p638 @p823 @p786 @p750 @p305 @p281 @p646 @p640 @p637 @p615) :args ((or @t239 @t263) (@list true false true true true true true true true true) (@list @t230 @t262 @t283 @t92 @t118 @t99 @t75 @t238 @t230 @t43))) % 0.46/0.68 (step @p859 :rule bool-double-not-elim :args (@t261)) % 0.46/0.68 (step @p860 :rule refl :args (@t283)) % 0.46/0.68 (step @p861 :rule nary_cong :premises (@p860 @p859 @p824) :args ((or @t283 @t287 @t284))) % 0.46/0.68 (step @p862 :rule cnf_equiv_neg2 :args (@t283)) % 0.46/0.68 (step @p863 :rule eq_resolve :premises (@p862 @p861)) % 0.46/0.68 (step @p864 :rule reordering :premises (@p863) :args ((or @t261 @t283 @t284))) % 0.46/0.68 (step @p865 :rule refl :args (@t262)) % 0.46/0.68 (step @p866 :rule bool-double-not-elim :args (@t274)) % 0.46/0.68 (step @p867 :rule refl :args (@t288)) % 0.46/0.68 (step @p868 :rule nary_cong :premises (@p859 @p867 @p866 @p865) :args ((or @t287 @t288 @t290 @t262))) % 0.46/0.68 (assume-push @p1105 @t263) % 0.46/0.68 (assume-push @p1106 @t275) % 0.46/0.68 (assume-push @p1107 @t289) % 0.46/0.68 (assume-push @p1108 @t275) % 0.46/0.68 (assume-push @p1109 @t289) % 0.46/0.68 (assume-push @p1110 @t263) % 0.46/0.68 (step @p875 :rule true_intro :premises (@p1106)) % 0.46/0.68 (step @p876 :rule false_intro :premises (@p1107)) % 0.46/0.68 (step @p877 :rule symm :premises (@p876)) % 0.46/0.68 (step @p878 :rule false_intro :premises (@p1105)) % 0.46/0.68 (step @p879 :rule trans :premises (@p878 @p877)) % 0.46/0.68 (step @p880 :rule cong :premises (@p879) :args (@t262)) % 0.46/0.68 (step @p881 :rule trans :premises (@p880 @p875)) % 0.46/0.68 (step @p882 :rule true_elim :premises (@p881)) % 0.46/0.68 (step-pop @p1111 :rule scope :premises (@p882)) % 0.46/0.68 (step-pop @p1112 :rule scope :premises (@p1111)) % 0.46/0.68 (step-pop @p1113 :rule scope :premises (@p1112)) % 0.46/0.68 (step @p883 :rule process_scope :premises (@p1113) :args (@t262)) % 0.46/0.68 (step @p887 :rule and_intro :premises (@p1106 @p1107 @p1105)) % 0.46/0.68 (step @p888 :rule modus_ponens :premises (@p887 @p883)) % 0.46/0.68 (step-pop @p1114 :rule scope :premises (@p888)) % 0.46/0.68 (step-pop @p1115 :rule scope :premises (@p1114)) % 0.46/0.68 (step-pop @p1116 :rule scope :premises (@p1115)) % 0.46/0.68 (step @p889 :rule process_scope :premises (@p1116) :args (@t262)) % 0.46/0.68 (step @p893 :rule implies_elim :premises (@p889)) % 0.46/0.68 (step @p894 :rule cnf_and_neg :args (@t291)) % 0.46/0.68 (step @p895 :rule resolution :premises (@p894 @p893) :args (true @t291)) % 0.46/0.68 (step @p896 :rule eq_resolve :premises (@p895 @p868)) % 0.46/0.68 (step @p897 :rule reordering :premises (@p896) :args ((or @t261 @t262 @t274 @t288))) % 0.46/0.68 (step @p898 :rule chain_m_resolution :premises (@p897 @p864) :args ((or @t261 @t283 @t274 @t288) @t174 @t292)) % 0.46/0.68 (step @p899 :rule cnf_equiv_neg2 :args (@t293)) % 0.46/0.68 (step @p900 :rule reordering :premises (@p899) :args ((or @t295 @t293 @t294))) % 0.46/0.68 (assume-push @p1117 @t242) % 0.46/0.68 (assume-push @p1118 @t274) % 0.46/0.68 (assume-push @p1119 @t275) % 0.46/0.68 (assume-push @p1120 @t275) % 0.46/0.68 (assume-push @p1121 @t274) % 0.46/0.68 (assume-push @p1122 @t242) % 0.46/0.68 (step @p907 :rule true_intro :premises (@p1119)) % 0.46/0.68 (step @p908 :rule true_intro :premises (@p1118)) % 0.46/0.68 (step @p909 :rule symm :premises (@p908)) % 0.46/0.68 (step @p910 :rule true_intro :premises (@p1117)) % 0.46/0.68 (step @p911 :rule trans :premises (@p910 @p909)) % 0.46/0.68 (step @p912 :rule cong :premises (@p911) :args (@t243)) % 0.46/0.68 (step @p913 :rule trans :premises (@p912 @p907)) % 0.46/0.68 (step @p914 :rule true_elim :premises (@p913)) % 0.46/0.68 (step-pop @p1123 :rule scope :premises (@p914)) % 0.46/0.68 (step-pop @p1124 :rule scope :premises (@p1123)) % 0.46/0.68 (step-pop @p1125 :rule scope :premises (@p1124)) % 0.46/0.68 (step @p915 :rule process_scope :premises (@p1125) :args (@t243)) % 0.46/0.68 (step @p919 :rule and_intro :premises (@p1119 @p1118 @p1117)) % 0.46/0.68 (step @p920 :rule modus_ponens :premises (@p919 @p915)) % 0.46/0.68 (step-pop @p1126 :rule scope :premises (@p920)) % 0.46/0.68 (step-pop @p1127 :rule scope :premises (@p1126)) % 0.46/0.68 (step-pop @p1128 :rule scope :premises (@p1127)) % 0.46/0.68 (step @p921 :rule process_scope :premises (@p1128) :args (@t243)) % 0.46/0.68 (step @p925 :rule implies_elim :premises (@p921)) % 0.46/0.68 (step @p926 :rule cnf_and_neg :args (@t296)) % 0.46/0.68 (step @p927 :rule resolution :premises (@p926 @p925) :args (true @t296)) % 0.46/0.68 (step @p928 :rule reordering :premises (@p927) :args ((or @t295 @t243 @t288 @t289))) % 0.46/0.68 (step @p929 :rule chain_m_resolution :premises (@p928 @p900) :args ((or @t295 @t293 @t288 @t289) @t174 (@list @t243))) % 0.46/0.68 (step @p930 :rule cnf_equiv_neg1 :args (@t293)) % 0.46/0.68 (step @p931 :rule reordering :premises (@p930) :args ((or @t242 @t243 @t293))) % 0.46/0.68 (step @p932 :rule refl :args (@t294)) % 0.46/0.68 (step @p933 :rule bool-double-not-elim :args (@t242)) % 0.46/0.68 (step @p934 :rule nary_cong :premises (@p933 @p932 @p859 @p865) :args ((or @t297 @t294 @t287 @t262))) % 0.46/0.68 (assume-push @p1129 @t295) % 0.46/0.68 (assume-push @p1130 @t243) % 0.46/0.68 (assume-push @p1131 @t263) % 0.46/0.68 (assume-push @p1132 @t243) % 0.46/0.68 (assume-push @p1133 @t295) % 0.46/0.68 (assume-push @p1134 @t263) % 0.46/0.68 (step @p941 :rule true_intro :premises (@p1130)) % 0.46/0.68 (step @p942 :rule false_intro :premises (@p1129)) % 0.46/0.68 (step @p943 :rule symm :premises (@p942)) % 0.46/0.68 (step @p944 :rule false_intro :premises (@p1131)) % 0.46/0.68 (step @p945 :rule trans :premises (@p944 @p943)) % 0.46/0.68 (step @p946 :rule cong :premises (@p945) :args (@t262)) % 0.46/0.68 (step @p947 :rule trans :premises (@p946 @p941)) % 0.46/0.68 (step @p948 :rule true_elim :premises (@p947)) % 0.46/0.68 (step-pop @p1135 :rule scope :premises (@p948)) % 0.46/0.68 (step-pop @p1136 :rule scope :premises (@p1135)) % 0.46/0.68 (step-pop @p1137 :rule scope :premises (@p1136)) % 0.46/0.68 (step @p949 :rule process_scope :premises (@p1137) :args (@t262)) % 0.46/0.68 (step @p953 :rule and_intro :premises (@p1130 @p1129 @p1131)) % 0.46/0.68 (step @p954 :rule modus_ponens :premises (@p953 @p949)) % 0.46/0.68 (step-pop @p1138 :rule scope :premises (@p954)) % 0.46/0.68 (step-pop @p1139 :rule scope :premises (@p1138)) % 0.46/0.68 (step-pop @p1140 :rule scope :premises (@p1139)) % 0.46/0.68 (step @p955 :rule process_scope :premises (@p1140) :args (@t262)) % 0.46/0.68 (step @p959 :rule implies_elim :premises (@p955)) % 0.46/0.68 (step @p960 :rule cnf_and_neg :args (@t298)) % 0.46/0.68 (step @p961 :rule resolution :premises (@p960 @p959) :args (true @t298)) % 0.46/0.68 (step @p962 :rule eq_resolve :premises (@p961 @p934)) % 0.46/0.68 (step @p963 :rule chain_m_resolution :premises (@p962 @p864) :args ((or @t242 @t294 @t261 @t283) @t174 @t292)) % 0.46/0.68 (step @p964 :rule chain_m_resolution :premises (@p963 @p931 @p929 @p898 @p858 @p821 @p794 @p793 @p789 @p786 @p750 @p305 @p679 @p281 @p646 @p640 @p638) :args (@t239 (@list false true false true false true true false true true true true true true true true) (@list @t243 @t242 @t274 @t261 @t275 @t55 @t96 @t115 @t283 @t92 @t118 @t293 @t99 @t75 @t238 @t230))) % 0.46/0.68 (step @p965 :rule cnf_and_pos :args (@t118 1)) % 0.46/0.68 (step @p966 :rule reordering :premises (@p965) :args ((or @t115 @t119))) % 0.46/0.68 (step @p967 :rule chain_m_resolution :premises (@p789 @p966) :args (@t115 @t174 (@list @t118))) % 0.46/0.68 (step @p968 :rule chain_m_resolution :premises (@p793 @p967) :args (@t97 @t206 @t299)) % 0.46/0.68 (step @p969 :rule chain_m_resolution :premises (@p794 @p968) :args (@t56 @t174 (@list @t96))) % 0.46/0.68 (step @p970 :rule chain_m_resolution :premises (@p821 @p969) :args (@t275 @t174 (@list @t55))) % 0.46/0.68 (step @p971 :rule bool-double-not-elim :args (@t229)) % 0.46/0.68 (step @p972 :rule nary_cong :premises (@p826 @p971 @p867 @p866) :args ((or @t285 @t300 @t288 @t290))) % 0.46/0.68 (assume-push @p1141 @t236) % 0.46/0.68 (assume-push @p1142 @t239) % 0.46/0.68 (assume-push @p1143 @t289) % 0.46/0.68 (assume-push @p1144 @t275) % 0.46/0.68 (step @p977 :rule false_intro :premises (@p1141)) % 0.46/0.68 (step @p978 :rule false_intro :premises (@p1142)) % 0.46/0.68 (step @p979 :rule symm :premises (@p978)) % 0.46/0.68 (step @p980 :rule false_intro :premises (@p1143)) % 0.46/0.68 (step @p981 :rule trans :premises (@p980 @p979)) % 0.46/0.68 (step @p982 :rule cong :premises (@p981) :args (@t275)) % 0.46/0.68 (step @p983 :rule true_intro :premises (@p1144)) % 0.46/0.68 (step @p984 :rule symm :premises (@p983)) % 0.46/0.68 (step @p985 :rule trans :premises (@p984 @p982 @p977)) % 0.46/0.68 (step @p986 false :rule eq_resolve :premises (@p985 @p30)) % 0.46/0.68 (step-pop @p1145 :rule scope :premises (@p986)) % 0.46/0.68 (step-pop @p1146 :rule scope :premises (@p1145)) % 0.46/0.68 (step-pop @p1147 :rule scope :premises (@p1146)) % 0.46/0.68 (step-pop @p1148 :rule scope :premises (@p1147)) % 0.46/0.68 (step @p987 :rule process_scope :premises (@p1148) :args (false)) % 0.46/0.68 (assume-push @p1149 @t236) % 0.46/0.68 (assume-push @p1150 @t239) % 0.46/0.68 (assume-push @p1151 @t275) % 0.46/0.68 (assume-push @p1152 @t289) % 0.46/0.68 (step @p996 :rule and_intro :premises (@p1149 @p1150 @p1152 @p1151)) % 0.46/0.68 (step-pop @p1153 :rule scope :premises (@p996)) % 0.46/0.68 (step-pop @p1154 :rule scope :premises (@p1153)) % 0.46/0.68 (step-pop @p1155 :rule scope :premises (@p1154)) % 0.46/0.68 (step-pop @p1156 :rule scope :premises (@p1155)) % 0.46/0.68 (step @p997 :rule process_scope :premises (@p1156) :args (@t301)) % 0.46/0.68 (step @p1002 :rule implies_elim :premises (@p997)) % 0.46/0.68 (step @p1003 :rule resolution :premises (@p1002 @p987) :args (true @t301)) % 0.46/0.68 (step @p1004 :rule not_and :premises (@p1003)) % 0.46/0.68 (step @p1005 :rule eq_resolve :premises (@p1004 @p972)) % 0.46/0.68 (step @p1006 :rule reordering :premises (@p1005) :args ((or @t229 @t230 @t274 @t288))) % 0.46/0.68 (step @p1007 :rule chain_m_resolution :premises (@p1006 @p964 @p638 @p970) :args (@t274 @t226 (@list @t229 @t230 @t275))) % 0.46/0.68 (step @p1008 :rule cnf_and_neg :args (@t118)) % 0.46/0.68 (step @p1009 :rule reordering :premises (@p1008) :args ((or @t100 @t118 @t123))) % 0.46/0.68 (step @p1010 :rule cnf_or_neg :args (@t210 2)) % 0.46/0.68 (step @p1011 :rule chain_m_resolution :premises (@p1010 @p606 @p605 @p1009) :args ((or @t100 @t123) @t226 (@list @t210 @t225 @t118))) % 0.46/0.68 (step @p1012 :rule chain_m_resolution :premises (@p1011 @p967) :args (@t100 @t206 @t299)) % 0.46/0.68 (step @p1013 :rule equiv_elim2 :premises (@p279)) % 0.46/0.68 (step @p1014 :rule chain_m_resolution :premises (@p1013 @p1012) :args (@t76 @t174 (@list @t99))) % 0.46/0.68 (step @p1015 :rule chain_m_resolution :premises (@p679 @p1014) :args ((not @t293) @t174 (@list @t75))) % 0.46/0.68 (step @p1016 :rule chain_m_resolution :premises (@p929 @p1015 @p970 @p1007) :args (@t295 (@list true false false) (@list @t293 @t275 @t274))) % 0.46/0.68 (step @p1017 :rule chain_m_resolution :premises (@p931 @p1016 @p1015) :args (@t243 (@list true true) (@list @t242 @t293))) % 0.46/0.68 (step @p1018 :rule nary_cong :premises (@p826 @p971 @p933 @p932) :args ((or @t285 @t300 @t297 @t294))) % 0.46/0.68 (assume-push @p1157 @t236) % 0.46/0.68 (assume-push @p1158 @t239) % 0.46/0.68 (assume-push @p1159 @t295) % 0.46/0.68 (assume-push @p1160 @t236) % 0.46/0.68 (assume-push @p1161 @t239) % 0.46/0.68 (assume-push @p1162 @t295) % 0.46/0.68 (step @p1025 :rule false_intro :premises (@p1157)) % 0.46/0.68 (step @p1026 :rule false_intro :premises (@p1158)) % 0.46/0.68 (step @p1027 :rule symm :premises (@p1026)) % 0.46/0.68 (step @p1028 :rule false_intro :premises (@p1159)) % 0.46/0.68 (step @p1029 :rule trans :premises (@p1028 @p1027)) % 0.46/0.68 (step @p1030 :rule cong :premises (@p1029) :args (@t243)) % 0.46/0.68 (step @p1031 :rule trans :premises (@p1030 @p1025)) % 0.46/0.68 (step @p1032 :rule false_elim :premises (@p1031)) % 0.46/0.68 (step-pop @p1163 :rule scope :premises (@p1032)) % 0.46/0.68 (step-pop @p1164 :rule scope :premises (@p1163)) % 0.46/0.68 (step-pop @p1165 :rule scope :premises (@p1164)) % 0.46/0.68 (step @p1033 :rule process_scope :premises (@p1165) :args (@t294)) % 0.46/0.68 (step @p1037 :rule and_intro :premises (@p1157 @p1158 @p1159)) % 0.46/0.68 (step @p1038 :rule modus_ponens :premises (@p1037 @p1033)) % 0.46/0.68 (step-pop @p1166 :rule scope :premises (@p1038)) % 0.46/0.68 (step-pop @p1167 :rule scope :premises (@p1166)) % 0.46/0.68 (step-pop @p1168 :rule scope :premises (@p1167)) % 0.46/0.68 (step @p1039 :rule process_scope :premises (@p1168) :args (@t294)) % 0.46/0.68 (step @p1043 :rule implies_elim :premises (@p1039)) % 0.46/0.68 (step @p1044 :rule cnf_and_neg :args (@t302)) % 0.46/0.68 (step @p1045 :rule resolution :premises (@p1044 @p1043) :args (true @t302)) % 0.46/0.68 (step @p1046 :rule eq_resolve :premises (@p1045 @p1018)) % 0.46/0.68 (step @p1047 :rule reordering :premises (@p1046) :args ((or @t229 @t230 @t242 @t294))) % 0.46/0.68 (step @p1048 false :rule chain_m_resolution :premises (@p1047 @p1017 @p1016 @p964 @p638) :args (false (@list false true true true) (@list @t243 @t242 @t229 @t230))) % 0.46/0.68 ) % 0.46/0.68 % SZS output end Proof % 0.46/0.68 % cvc5 exiting %------------------------------------------------------------------------------