%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO555^1 : 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 09:13:07 AM UTC 2026 % Result : Theorem 202.93s 203.25s % Output : Proof 202.93s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYO555^1 : TPTP v9.2.1. Released v5.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n001.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Wed Jun 3 00:21:20 EDT 2026 % 0.16/0.35 % CPUTime : % 0.27/0.50 %----Proving TH0 % 202.93/203.25 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 202.93/203.25 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --mbqi-enum-choice-grammar-all --no-cegqi --no-sygus-inst at 30s... % 202.93/203.25 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-mbqi-nested-check --no-cegqi --no-sygus-inst at 30s... % 202.93/203.25 --- Run --ho-elim --full-saturate-quant at 18s... % 202.93/203.25 --- Run --ho-elim --no-e-matching --full-saturate-quant at 12s... % 202.93/203.25 --- Run --ho-elim --no-e-matching --enum-inst-sum --full-saturate-quant at 12s... % 202.93/203.25 --- Run --ho-elim --finite-model-find --uf-ss=no-minimal at 9s... % 202.93/203.25 --- Run --no-ho-matching --finite-model-find --uf-ss=no-minimal at 6s... % 202.93/203.25 --- Run --no-ho-matching --full-saturate-quant --enum-inst-interleave --ho-elim-store-ax at 21s... % 202.93/203.25 % SZS status Theorem % 202.93/203.25 % SZS output start Proof % 202.93/203.25 ( % 202.93/203.25 (declare-sort $$unsorted 0) % 202.93/203.25 (declare-const tptp.eps1 (-> (-> $$unsorted Bool) $$unsorted)) % 202.93/203.25 (declare-const tptp.eps2 (-> (-> $$unsorted Bool) $$unsorted)) % 202.93/203.25 (define tptp.if1 () (let ((_let_1 (@var "Y" $$unsorted))) (let ((_let_2 (@var "Z" $$unsorted))) (let ((_let_3 (@var "B" Bool))) (let ((_let_4 (@var "X" $$unsorted))) (lambda (@list _let_3 _let_4 _let_1) (_ tptp.eps1 (lambda (@list _let_2) (or (and _let_3 (= _let_2 _let_4)) (and (not _let_3) (= _let_2 _let_1))))))))))) % 202.93/203.25 (define tptp.if2 () (let ((_let_1 (@var "Y" $$unsorted))) (let ((_let_2 (@var "Z" $$unsorted))) (let ((_let_3 (@var "B" Bool))) (let ((_let_4 (@var "X" $$unsorted))) (lambda (@list _let_3 _let_4 _let_1) (_ tptp.eps2 (lambda (@list _let_2) (or (and _let_3 (= _let_2 _let_4)) (and (not _let_3) (= _let_2 _let_1))))))))))) % 202.93/203.25 (define @t1 () (@var "P" (-> $$unsorted Bool))) % 202.93/203.25 (define @t2 () (_ tptp.eps1 @t1)) % 202.93/203.25 (define @t3 () (_ @t1 @t2)) % 202.93/203.25 (define @t4 () (@var "X" $$unsorted)) % 202.93/203.25 (define @t5 () (_ @t1 @t4)) % 202.93/203.25 (define @t6 () (@list @t4)) % 202.93/203.25 (define @t7 () (exists @t6 @t5)) % 202.93/203.25 (define @t8 () (=> @t7 @t3)) % 202.93/203.25 (define @t9 () (@list @t1)) % 202.93/203.25 (define @t10 () (forall @t9 @t8)) % 202.93/203.25 (define @t11 () (_ tptp.eps2 @t1)) % 202.93/203.25 (define @t12 () (_ @t1 @t11)) % 202.93/203.25 (define @t13 () (=> @t7 @t12)) % 202.93/203.25 (define @t14 () (forall @t9 @t13)) % 202.93/203.25 (define @t15 () (= tptp.if1 tptp.if2)) % 202.93/203.25 (define @t16 () (not @t15)) % 202.93/203.25 (define @t17 () (@var "Y" $$unsorted)) % 202.93/203.25 (define @t18 () (@var "Z" $$unsorted)) % 202.93/203.25 (define @t19 () (@var "B" Bool)) % 202.93/203.25 (define @t20 () (not @t19)) % 202.93/203.25 (define @t21 () (and @t20 (= @t18 @t17))) % 202.93/203.25 (define @t22 () (and @t19 (= @t18 @t4))) % 202.93/203.25 (define @t23 () (or @t22 @t21)) % 202.93/203.25 (define @t24 () (@list @t18)) % 202.93/203.25 (define @t25 () (lambda @t24 @t23)) % 202.93/203.25 (define @t26 () (@list @t19 @t4 @t17)) % 202.93/203.25 (define @t27 () (lambda @t26 (_ tptp.eps1 @t25))) % 202.93/203.25 (define @t28 () (lambda @t26 (_ tptp.eps2 @t25))) % 202.93/203.25 (define @t29 () (@var "ii" (-> $$unsorted Bool))) % 202.93/203.25 (define @t30 () (@var "u" (-> (-> $$unsorted Bool) $$unsorted))) % 202.93/203.25 (define @t31 () (@var "e" $$unsorted)) % 202.93/203.25 (define @t32 () (@var "i" (-> $$unsorted Bool))) % 202.93/203.25 (define @t33 () (@var "v" (-> (-> $$unsorted Bool) $$unsorted))) % 202.93/203.25 (define @t34 () (_ @t33 @t29)) % 202.93/203.25 (define @t35 () (@list @t29)) % 202.93/203.25 (define @t36 () (@list @t33)) % 202.93/203.25 (define @t37 () (forall (@list @t30 @t31 @t32) (not (forall @t36 (not (forall @t35 (= @t34 (ite (= @t32 @t29) @t31 (_ @t30 @t29))))))))) % 202.93/203.25 (define @t38 () (tptp.eps2 @t29)) % 202.93/203.25 (define @t39 () (@const 0 $$unsorted)) % 202.93/203.25 (define @t40 () (= @t18 @t39)) % 202.93/203.25 (define @t41 () (@const 1 Bool)) % 202.93/203.25 (define @t42 () (@purify @t41)) % 202.93/203.25 (define @t43 () (not @t42)) % 202.93/203.25 (define @t44 () (and @t43 @t40)) % 202.93/203.25 (define @t45 () (@const 2 $$unsorted)) % 202.93/203.25 (define @t46 () (= @t18 @t45)) % 202.93/203.25 (define @t47 () (and @t42 @t46)) % 202.93/203.25 (define @t48 () (or @t47 @t44)) % 202.93/203.25 (define @t49 () (lambda @t24 @t48)) % 202.93/203.25 (define @t50 () (@purify @t49)) % 202.93/203.25 (define @t51 () (tptp.eps1 @t50)) % 202.93/203.25 (define @t52 () (= @t50 @t29)) % 202.93/203.25 (define @t53 () (ite @t52 @t51 @t38)) % 202.93/203.25 (define @t54 () (= @t34 @t53)) % 202.93/203.25 (define @t55 () (forall @t35 @t54)) % 202.93/203.25 (define @t56 () (not @t55)) % 202.93/203.25 (define @t57 () (forall @t36 @t56)) % 202.93/203.25 (define @t58 () (not @t57)) % 202.93/203.25 (define @t59 () (= @t29 @t50)) % 202.93/203.25 (define @t60 () (ite @t59 @t51 @t38)) % 202.93/203.25 (define @t61 () (forall @t36 (not (forall @t35 (= @t34 @t60))))) % 202.93/203.25 (define @t62 () (not @t61)) % 202.93/203.25 (define @t63 () (@list false)) % 202.93/203.25 (define @t64 () (@list @t37)) % 202.93/203.25 (define @t65 () (@quantifiers_skolemize @t61 0)) % 202.93/203.25 (define @t66 () (_ @t65 @t29)) % 202.93/203.25 (define @t67 () (forall @t35 (= @t60 @t66))) % 202.93/203.25 (define @t68 () (forall @t35 (= @t66 @t60))) % 202.93/203.25 (define @t69 () (not (not @t68))) % 202.93/203.25 (define @t70 () (@list true)) % 202.93/203.25 (define @t71 () (@const 3 (-> $$unsorted Bool))) % 202.93/203.25 (define @t72 () (tptp.eps2 @t71)) % 202.93/203.25 (define @t73 () (not @t41)) % 202.93/203.25 (define @t74 () (lambda @t24 (or (and @t41 @t46) (and @t73 @t40)))) % 202.93/203.25 (define @t75 () (tptp.eps1 @t74)) % 202.93/203.25 (define @t76 () (= @t74 @t71)) % 202.93/203.25 (define @t77 () (= @t50 @t71)) % 202.93/203.25 (define @t78 () (ite @t77 @t51 @t72)) % 202.93/203.25 (define @t79 () (@purify @t78)) % 202.93/203.25 (define @t80 () (_ @t65 @t71)) % 202.93/203.25 (define @t81 () (= @t80 @t78)) % 202.93/203.25 (define @t82 () (= @t71 @t50)) % 202.93/203.25 (define @t83 () (ite @t82 @t51 @t72)) % 202.93/203.25 (define @t84 () (= @t83 @t80)) % 202.93/203.25 (define @t85 () (@list @t71)) % 202.93/203.25 (define @t86 () (= @t80 @t79)) % 202.93/203.25 (define @t87 () (@list @t67)) % 202.93/203.25 (define @t88 () (lambda @t24 (or (and @t19 (= @t4 @t18)) (and @t20 (= @t17 @t18))))) % 202.93/203.25 (define @t89 () (lambda @t26 (_ tptp.eps1 @t88))) % 202.93/203.25 (define @t90 () (@purify @t89)) % 202.93/203.25 (define @t91 () (lambda @t26 (_ tptp.eps2 @t88))) % 202.93/203.25 (define @t92 () (@purify @t91)) % 202.93/203.25 (define @t93 () (= @t89 @t91)) % 202.93/203.25 (define @t94 () (tptp.eps2 @t50)) % 202.93/203.25 (define @t95 () (_ tptp.eps1 @t50)) % 202.93/203.25 (define @t96 () (_ tptp.eps1 @t74)) % 202.93/203.25 (define @t97 () (and @t73 (= @t39 @t18))) % 202.93/203.25 (define @t98 () (and @t41 (= @t45 @t18))) % 202.93/203.25 (define @t99 () (or @t98 @t97)) % 202.93/203.25 (define @t100 () (lambda @t24 @t99)) % 202.93/203.25 (define @t101 () (_ @t89 @t41 @t45 @t39)) % 202.93/203.25 (define @t102 () (_ @t90 @t41 @t45 @t39)) % 202.93/203.25 (define @t103 () (_ tptp.eps2 @t50)) % 202.93/203.25 (define @t104 () (_ tptp.eps2 @t74)) % 202.93/203.25 (define @t105 () (_ @t91 @t41 @t45 @t39)) % 202.93/203.25 (define @t106 () (_ @t92 @t41 @t45 @t39)) % 202.93/203.25 (define @t107 () (= @t106 @t102)) % 202.93/203.25 (define @t108 () (not @t107)) % 202.93/203.25 (define @t109 () (= @t92 @t90)) % 202.93/203.25 (define @t110 () (or @t109 @t108)) % 202.93/203.25 (define @t111 () (= @t51 @t94)) % 202.93/203.25 (define @t112 () (not @t111)) % 202.93/203.25 (define @t113 () (_ @t65 @t50)) % 202.93/203.25 (define @t114 () (= @t50 @t50)) % 202.93/203.25 (define @t115 () (ite @t114 @t51 @t94)) % 202.93/203.25 (define @t116 () (= @t115 @t113)) % 202.93/203.25 (define @t117 () (@list @t50)) % 202.93/203.25 (define @t118 () (= @t51 @t113)) % 202.93/203.25 (define @t119 () (= tptp.eps2 @t65)) % 202.93/203.25 (define @t120 () (and @t118 @t119)) % 202.93/203.25 (define @t121 () (not @t119)) % 202.93/203.25 (define @t122 () (= @t72 @t80)) % 202.93/203.25 (define @t123 () (not @t122)) % 202.93/203.25 (define @t124 () (= @t72 @t79)) % 202.93/203.25 (define @t125 () (not @t124)) % 202.93/203.25 (define @t126 () (not @t86)) % 202.93/203.25 (define @t127 () (not @t123)) % 202.93/203.25 (define @t128 () (and @t123 @t86)) % 202.93/203.25 (define @t129 () (@list true false)) % 202.93/203.25 (define @t130 () (= @t78 @t72)) % 202.93/203.25 (define @t131 () (= @t78 @t51)) % 202.93/203.25 (define @t132 () (@var "ii" $$unsorted)) % 202.93/203.25 (define @t133 () (@var "u" (-> $$unsorted Bool))) % 202.93/203.25 (define @t134 () (@var "e" Bool)) % 202.93/203.25 (define @t135 () (@var "i" $$unsorted)) % 202.93/203.25 (define @t136 () (@var "v" (-> $$unsorted Bool))) % 202.93/203.25 (define @t137 () (_ @t136 @t132)) % 202.93/203.25 (define @t138 () (@list @t132)) % 202.93/203.25 (define @t139 () (@list @t136)) % 202.93/203.25 (define @t140 () (forall (@list @t133 @t134 @t135) (not (forall @t139 (not (forall @t138 (= @t137 (ite (= @t135 @t132) @t134 (_ @t133 @t132))))))))) % 202.93/203.25 (define @t141 () (_ @t50 @t132)) % 202.93/203.25 (define @t142 () (= @t94 @t132)) % 202.93/203.25 (define @t143 () (not @t142)) % 202.93/203.25 (define @t144 () (= @t137 (ite @t142 false @t141))) % 202.93/203.25 (define @t145 () (forall @t138 @t144)) % 202.93/203.25 (define @t146 () (not @t145)) % 202.93/203.25 (define @t147 () (forall @t139 @t146)) % 202.93/203.25 (define @t148 () (not @t147)) % 202.93/203.25 (define @t149 () (and (not (= @t132 @t94)) @t141)) % 202.93/203.25 (define @t150 () (forall @t139 (not (forall @t138 (= @t137 @t149))))) % 202.93/203.25 (define @t151 () (not @t150)) % 202.93/203.25 (define @t152 () (@quantifiers_skolemize @t150 0)) % 202.93/203.25 (define @t153 () (_ @t152 @t132)) % 202.93/203.25 (define @t154 () (forall @t138 (= @t149 @t153))) % 202.93/203.25 (define @t155 () (forall @t138 (= @t153 @t149))) % 202.93/203.25 (define @t156 () (not (not @t155))) % 202.93/203.25 (define @t157 () (tptp.eps1 @t152)) % 202.93/203.25 (define @t158 () (= @t39 @t157)) % 202.93/203.25 (define @t159 () (= @t45 @t157)) % 202.93/203.25 (define @t160 () (or (and @t41 @t159) (and @t73 @t158))) % 202.93/203.25 (define @t161 () (and @t73 (= @t157 @t39))) % 202.93/203.25 (define @t162 () (and @t41 (= @t157 @t45))) % 202.93/203.25 (define @t163 () (or @t162 @t161)) % 202.93/203.25 (define @t164 () (_ @t74 @t157)) % 202.93/203.25 (define @t165 () (and @t43 @t158)) % 202.93/203.25 (define @t166 () (and @t42 @t159)) % 202.93/203.25 (define @t167 () (or @t166 @t165)) % 202.93/203.25 (define @t168 () (_ @t50 @t157)) % 202.93/203.25 (define @t169 () (not (= @t94 @t157))) % 202.93/203.25 (define @t170 () (and @t169 @t168)) % 202.93/203.25 (define @t171 () (_ @t152 @t157)) % 202.93/203.25 (define @t172 () (= @t171 @t170)) % 202.93/203.25 (define @t173 () (not (= @t157 @t94))) % 202.93/203.25 (define @t174 () (and @t173 @t168)) % 202.93/203.25 (define @t175 () (= @t174 @t171)) % 202.93/203.25 (define @t176 () (and @t169 @t167)) % 202.93/203.25 (define @t177 () (= @t171 @t176)) % 202.93/203.25 (define @t178 () (@list @t154)) % 202.93/203.25 (define @t179 () (tptp.eps1 @t1)) % 202.93/203.25 (define @t180 () (_ @t1 @t179)) % 202.93/203.25 (define @t181 () (@var "BOUND_VARIABLE_7488" $$unsorted)) % 202.93/203.25 (define @t182 () (not (_ @t1 @t181))) % 202.93/203.25 (define @t183 () (or @t182 @t180)) % 202.93/203.25 (define @t184 () (forall (@list @t1 @t181) @t183)) % 202.93/203.25 (define @t185 () (@list @t181)) % 202.93/203.25 (define @t186 () (forall @t185 @t183)) % 202.93/203.25 (define @t187 () (forall @t185 @t182)) % 202.93/203.25 (define @t188 () (@list @t4)) % 202.93/203.25 (define @t189 () (or @t187 @t180)) % 202.93/203.25 (define @t190 () (_ @t1 @t4)) % 202.93/203.25 (define @t191 () (forall @t6 (not @t190))) % 202.93/203.25 (define @t192 () (or @t191 @t3)) % 202.93/203.25 (define @t193 () (not @t191)) % 202.93/203.25 (define @t194 () (not @t193)) % 202.93/203.25 (define @t195 () (not @t5)) % 202.93/203.25 (define @t196 () (forall @t6 @t195)) % 202.93/203.25 (define @t197 () (not @t196)) % 202.93/203.25 (define @t198 () (= @t45 @t39)) % 202.93/203.25 (define @t199 () (and @t42 @t198)) % 202.93/203.25 (define @t200 () (or @t199 @t43)) % 202.93/203.25 (define @t201 () (= @t39 @t94)) % 202.93/203.25 (define @t202 () (not @t201)) % 202.93/203.25 (define @t203 () (and @t202 @t200)) % 202.93/203.25 (define @t204 () (_ @t152 @t39)) % 202.93/203.25 (define @t205 () (or (and @t41 @t198) @t73)) % 202.93/203.25 (define @t206 () (and @t73 (= @t39 @t39))) % 202.93/203.25 (define @t207 () (and @t41 (= @t39 @t45))) % 202.93/203.25 (define @t208 () (or @t207 @t206)) % 202.93/203.25 (define @t209 () (_ @t74 @t39)) % 202.93/203.25 (define @t210 () (_ @t50 @t39)) % 202.93/203.25 (define @t211 () (and @t202 @t210)) % 202.93/203.25 (define @t212 () (= @t211 @t204)) % 202.93/203.25 (define @t213 () (= @t204 @t203)) % 202.93/203.25 (define @t214 () (and @t43 @t201)) % 202.93/203.25 (define @t215 () (not @t214)) % 202.93/203.25 (define @t216 () (= @t39 @t51)) % 202.93/203.25 (define @t217 () (and @t43 @t216)) % 202.93/203.25 (define @t218 () (not @t217)) % 202.93/203.25 (define @t219 () (not @t165)) % 202.93/203.25 (define @t220 () (and @t43 @t198)) % 202.93/203.25 (define @t221 () (or @t42 @t220)) % 202.93/203.25 (define @t222 () (@const 4 $$unsorted)) % 202.93/203.25 (define @t223 () (= @t39 @t222)) % 202.93/203.25 (define @t224 () (and @t43 @t223)) % 202.93/203.25 (define @t225 () (not @t224)) % 202.93/203.25 (define @t226 () (= @t45 @t51)) % 202.93/203.25 (define @t227 () (and @t42 @t226)) % 202.93/203.25 (define @t228 () (or @t227 @t217)) % 202.93/203.25 (define @t229 () (not @t228)) % 202.93/203.25 (define @t230 () (tptp.eps2 @t1)) % 202.93/203.25 (define @t231 () (_ @t1 @t230)) % 202.93/203.25 (define @t232 () (@var "BOUND_VARIABLE_7511" $$unsorted)) % 202.93/203.25 (define @t233 () (not (_ @t1 @t232))) % 202.93/203.25 (define @t234 () (or @t233 @t231)) % 202.93/203.25 (define @t235 () (forall (@list @t1 @t232) @t234)) % 202.93/203.25 (define @t236 () (@list @t232)) % 202.93/203.25 (define @t237 () (forall @t236 @t234)) % 202.93/203.25 (define @t238 () (forall @t236 @t233)) % 202.93/203.25 (define @t239 () (or @t238 @t231)) % 202.93/203.25 (define @t240 () (or @t191 @t12)) % 202.93/203.25 (define @t241 () (= @t45 @t94)) % 202.93/203.25 (define @t242 () (and @t42 @t241)) % 202.93/203.25 (define @t243 () (or @t229 @t242 @t214)) % 202.93/203.25 (define @t244 () (or @t242 @t214)) % 202.93/203.25 (define @t245 () (tptp.eps2 @t74)) % 202.93/203.25 (define @t246 () (or (and @t41 (= @t45 @t245)) (and @t73 (= @t39 @t245)))) % 202.93/203.25 (define @t247 () (and @t73 (= @t245 @t39))) % 202.93/203.25 (define @t248 () (and @t41 (= @t245 @t45))) % 202.93/203.25 (define @t249 () (or @t248 @t247)) % 202.93/203.25 (define @t250 () (_ @t74 @t245)) % 202.93/203.25 (define @t251 () (_ @t50 @t94)) % 202.93/203.25 (define @t252 () (or (and @t41 (= @t45 @t75)) (and @t73 (= @t39 @t75)))) % 202.93/203.25 (define @t253 () (and @t73 (= @t75 @t39))) % 202.93/203.25 (define @t254 () (and @t41 (= @t75 @t45))) % 202.93/203.25 (define @t255 () (or @t254 @t253)) % 202.93/203.25 (define @t256 () (_ @t74 @t75)) % 202.93/203.25 (define @t257 () (_ @t50 @t51)) % 202.93/203.25 (define @t258 () (not @t257)) % 202.93/203.25 (define @t259 () (or @t258 @t251)) % 202.93/203.25 (define @t260 () (not @t227)) % 202.93/203.25 (define @t261 () (not @t242)) % 202.93/203.25 (define @t262 () (not @t241)) % 202.93/203.25 (define @t263 () (not @t226)) % 202.93/203.25 (define @t264 () (and @t112 @t226)) % 202.93/203.25 (define @t265 () (not @t244)) % 202.93/203.25 (define @t266 () (or @t265 @t227 @t217)) % 202.93/203.25 (define @t267 () (not @t251)) % 202.93/203.25 (define @t268 () (or @t267 @t257)) % 202.93/203.25 (define @t269 () (not @t221)) % 202.93/203.25 (define @t270 () (and @t262 @t221)) % 202.93/203.25 (define @t271 () (not @t262)) % 202.93/203.25 (define @t272 () (_ @t152 @t45)) % 202.93/203.25 (define @t273 () (and @t73 @t198)) % 202.93/203.25 (define @t274 () (or @t41 @t273)) % 202.93/203.25 (define @t275 () (and @t41 (= @t45 @t45))) % 202.93/203.25 (define @t276 () (or @t275 @t273)) % 202.93/203.25 (define @t277 () (_ @t74 @t45)) % 202.93/203.25 (define @t278 () (_ @t50 @t45)) % 202.93/203.25 (define @t279 () (and @t262 @t278)) % 202.93/203.25 (define @t280 () (= @t279 @t272)) % 202.93/203.25 (define @t281 () (= @t272 @t270)) % 202.93/203.25 (define @t282 () (not @t272)) % 202.93/203.25 (define @t283 () (or @t282 @t171)) % 202.93/203.25 (define @t284 () (_ tptp.eps1 @t152)) % 202.93/203.25 (define @t285 () (_ @t152 @t157)) % 202.93/203.25 (define @t286 () (= @t285 @t167)) % 202.93/203.25 (define @t287 () (= @t50 @t152)) % 202.93/203.25 (define @t288 () (=> (= @t152 @t50) @t286)) % 202.93/203.25 (define @t289 () (= @t171 @t167)) % 202.93/203.25 (define @t290 () (not @t171)) % 202.93/203.25 (define @t291 () (not @t166)) % 202.93/203.25 (define @t292 () (not @t159)) % 202.93/203.25 (define @t293 () (not @t287)) % 202.93/203.25 (define @t294 () (and @t263 @t287)) % 202.93/203.25 (define @t295 () (= @t45 @t222)) % 202.93/203.25 (define @t296 () (and @t42 @t295)) % 202.93/203.25 (define @t297 () (or @t296 @t224)) % 202.93/203.25 (define @t298 () (_ @t152 @t222)) % 202.93/203.25 (define @t299 () (or (and @t41 @t295) (and @t73 @t223))) % 202.93/203.25 (define @t300 () (and @t73 (= @t222 @t39))) % 202.93/203.25 (define @t301 () (and @t41 (= @t222 @t45))) % 202.93/203.25 (define @t302 () (or @t301 @t300)) % 202.93/203.25 (define @t303 () (_ @t74 @t222)) % 202.93/203.25 (define @t304 () (_ @t50 @t222)) % 202.93/203.25 (define @t305 () (= @t304 @t298)) % 202.93/203.25 (define @t306 () (not @t305)) % 202.93/203.25 (define @t307 () (or @t287 @t306)) % 202.93/203.25 (define @t308 () (= @t298 @t297)) % 202.93/203.25 (define @t309 () (= @t94 @t222)) % 202.93/203.25 (define @t310 () (not @t309)) % 202.93/203.25 (define @t311 () (and @t310 @t304)) % 202.93/203.25 (define @t312 () (= @t298 @t311)) % 202.93/203.25 (define @t313 () (not (= @t222 @t94))) % 202.93/203.25 (define @t314 () (and @t313 @t304)) % 202.93/203.25 (define @t315 () (= @t314 @t298)) % 202.93/203.25 (define @t316 () (and @t310 @t297)) % 202.93/203.25 (define @t317 () (= @t298 @t316)) % 202.93/203.25 (define @t318 () (not @t317)) % 202.93/203.25 (define @t319 () (not @t298)) % 202.93/203.25 (define @t320 () (not @t316)) % 202.93/203.25 (define @t321 () (not @t297)) % 202.93/203.25 (define @t322 () (not @t296)) % 202.93/203.25 (define @t323 () (not @t295)) % 202.93/203.25 (define @t324 () (and @t262 @t309)) % 202.93/203.25 (define @t325 () (not @t43)) % 202.93/203.25 (define @t326 () (@list @t42)) % 202.93/203.25 (define @t327 () (ite @t52 @t94 @t38)) % 202.93/203.25 (define @t328 () (= @t34 @t327)) % 202.93/203.25 (define @t329 () (forall @t35 @t328)) % 202.93/203.25 (define @t330 () (not @t329)) % 202.93/203.25 (define @t331 () (forall @t36 @t330)) % 202.93/203.25 (define @t332 () (not @t331)) % 202.93/203.25 (define @t333 () (ite @t59 @t94 @t38)) % 202.93/203.25 (define @t334 () (forall @t36 (not (forall @t35 (= @t34 @t333))))) % 202.93/203.25 (define @t335 () (not @t334)) % 202.93/203.25 (define @t336 () (@quantifiers_skolemize @t334 0)) % 202.93/203.25 (define @t337 () (_ @t336 @t29)) % 202.93/203.25 (define @t338 () (forall @t35 (= @t333 @t337))) % 202.93/203.25 (define @t339 () (forall @t35 (= @t337 @t333))) % 202.93/203.25 (define @t340 () (not (not @t339))) % 202.93/203.25 (define @t341 () (_ @t336 @t50)) % 202.93/203.25 (define @t342 () (= (ite @t114 @t94 @t94) @t341)) % 202.93/203.25 (define @t343 () (= @t94 @t341)) % 202.93/203.25 (define @t344 () (@list @t338)) % 202.93/203.25 (define @t345 () (ite @t77 @t94 @t72)) % 202.93/203.25 (define @t346 () (@purify @t345)) % 202.93/203.25 (define @t347 () (_ @t336 @t71)) % 202.93/203.25 (define @t348 () (= @t347 @t345)) % 202.93/203.25 (define @t349 () (ite @t82 @t94 @t72)) % 202.93/203.25 (define @t350 () (= @t349 @t347)) % 202.93/203.25 (define @t351 () (= @t347 @t346)) % 202.93/203.25 (define @t352 () (= @t345 @t72)) % 202.93/203.25 (define @t353 () (= @t345 @t94)) % 202.93/203.25 (define @t354 () (not @t77)) % 202.93/203.25 (define @t355 () (= @t94 @t346)) % 202.93/203.25 (define @t356 () (@list @t77)) % 202.93/203.25 (define @t357 () (= @t51 @t79)) % 202.93/203.25 (define @t358 () (not @t216)) % 202.93/203.25 (define @t359 () (not @t357)) % 202.93/203.25 (define @t360 () (not @t355)) % 202.93/203.25 (define @t361 () (not @t351)) % 202.93/203.25 (define @t362 () (not @t343)) % 202.93/203.25 (define @t363 () (= @t72 @t346)) % 202.93/203.25 (define @t364 () (and @t201 @t343 @t123 @t77 @t351 @t355 @t86 @t357)) % 202.93/203.25 (define @t365 () (not @t200)) % 202.93/203.25 (define @t366 () (not @t202)) % 202.93/203.25 (define @t367 () (@list false false)) % 202.93/203.25 (define @t368 () (not @t204)) % 202.93/203.25 (define @t369 () (or @t368 @t171)) % 202.93/203.25 (define @t370 () (tptp.eps1 @t71)) % 202.93/203.25 (define @t371 () (= @t39 @t370)) % 202.93/203.25 (define @t372 () (not @t371)) % 202.93/203.25 (define @t373 () (and @t358 @t77)) % 202.93/203.25 (define @t374 () (not @t223)) % 202.93/203.25 (define @t375 () (and @t202 @t309)) % 202.93/203.25 (define @t376 () (and @t287 @t158 @t77)) % 202.93/203.25 (assume @p1 @t10) % 202.93/203.25 (assume @p2 @t14) % 202.93/203.25 (assume @p3 @t16) % 202.93/203.25 (assume @p4 true) % 202.93/203.25 (step @p5 (= tptp.if1 @t27) :rule refl :args (@t27)) % 202.93/203.25 (step @p6 (= tptp.if2 @t28) :rule refl :args (@t28)) % 202.93/203.25 ; WARNING: add trust step for TRUST % 202.93/203.25 ; trust TRUST PREPROCESS_HO_ELIM_LEMMA % 202.93/203.25 (step @p7 :rule trust :premises () :args (@t37)) % 202.93/203.25 (step @p8 :rule refl :args (@t38)) % 202.93/203.25 (step @p9 :rule refl :args (@t51)) % 202.93/203.25 (step @p10 :rule eq-symm :args (@t50 @t29)) % 202.93/203.25 (step @p11 :rule cong :premises (@p10 @p9 @p8) :args (@t53)) % 202.93/203.25 (step @p12 :rule refl :args (@t34)) % 202.93/203.25 (step @p13 :rule cong :premises (@p12 @p11) :args (@t54)) % 202.93/203.25 (step @p14 :rule cong :premises (@p13) :args (@t55)) % 202.93/203.25 (step @p15 :rule cong :premises (@p14) :args (@t56)) % 202.93/203.25 (step @p16 :rule cong :premises (@p15) :args (@t57)) % 202.93/203.25 (step @p17 :rule cong :premises (@p16) :args (@t58)) % 202.93/203.25 (step @p18 :rule refl :args (@t37)) % 202.93/203.25 (step @p19 :rule cong :premises (@p18 @p17) :args ((=> @t37 @t58))) % 202.93/203.25 (assume-push @p1077 @t37) % 202.93/203.25 (step @p21 :rule instantiate :premises (@p7) :args ((@list tptp.eps2 @t51 @t50))) % 202.93/203.25 (step-pop @p1078 :rule scope :premises (@p21)) % 202.93/203.25 (step @p22 :rule process_scope :premises (@p1078) :args (@t58)) % 202.93/203.25 (step @p24 :rule eq_resolve :premises (@p22 @p19)) % 202.93/203.25 (step @p25 :rule implies_elim :premises (@p24)) % 202.93/203.25 (step @p26 :rule chain_m_resolution :premises (@p25 @p7) :args (@t62 @t63 @t64)) % 202.93/203.25 (step @p27 :rule refl :args (@t67)) % 202.93/203.25 (step @p28 :rule bool-double-not-elim :args (@t61)) % 202.93/203.25 (step @p29 :rule nary_cong :premises (@p28 @p27) :args ((or (not @t62) @t67))) % 202.93/203.25 (step @p30 :rule eq-symm :args (@t66 @t60)) % 202.93/203.25 (step @p31 :rule cong :premises (@p30) :args (@t68)) % 202.93/203.25 (step @p32 :rule bool-double-not-elim :args (@t68)) % 202.93/203.25 (step @p33 :rule trans :premises (@p32 @p31)) % 202.93/203.25 (step @p34 :rule refl :args (@t62)) % 202.93/203.25 (step @p35 :rule cong :premises (@p34 @p33) :args ((=> @t62 @t69))) % 202.93/203.25 (assume-push @p1079 @t62) % 202.93/203.25 (step @p37 :rule skolemize :premises (@p26)) % 202.93/203.25 (step-pop @p1080 :rule scope :premises (@p37)) % 202.93/203.25 (step @p38 :rule process_scope :premises (@p1080) :args (@t69)) % 202.93/203.25 (step @p40 :rule eq_resolve :premises (@p38 @p35)) % 202.93/203.25 (step @p41 :rule implies_elim :premises (@p40)) % 202.93/203.25 (step @p42 :rule eq_resolve :premises (@p41 @p29)) % 202.93/203.25 (step @p43 :rule chain_m_resolution :premises (@p42 @p26) :args (@t67 @t70 (@list @t61))) % 202.93/203.25 (step @p44 :rule eq-refl :args ((ite @t76 @t75 @t72))) % 202.93/203.25 (step @p45 :rule refl :args (@t72)) % 202.93/203.25 (step @p46 :rule refl :args (@t40)) % 202.93/203.25 (step @p47 :rule skolem_intro :args (@t42)) % 202.93/203.25 (step @p48 :rule cong :premises (@p47) :args (@t43)) % 202.93/203.25 (step @p49 :rule nary_cong :premises (@p48 @p46) :args (@t44)) % 202.93/203.25 (step @p50 :rule refl :args (@t46)) % 202.93/203.25 (step @p51 :rule nary_cong :premises (@p47 @p50) :args (@t47)) % 202.93/203.25 (step @p52 :rule nary_cong :premises (@p51 @p49) :args (@t48)) % 202.93/203.25 (step @p53 :rule cong :premises (@p52) :args (@t49)) % 202.93/203.25 (step @p54 :rule skolem_intro :args (@t50)) % 202.93/203.25 (step @p55 :rule trans :premises (@p54 @p53)) % 202.93/203.25 (step @p56 :rule cong :premises (@p55) :args (@t51)) % 202.93/203.25 (step @p57 :rule refl :args (@t71)) % 202.93/203.25 (step @p58 :rule cong :premises (@p55 @p57) :args (@t77)) % 202.93/203.25 (step @p59 :rule cong :premises (@p58 @p56 @p45) :args (@t78)) % 202.93/203.25 (step @p60 :rule skolem_intro :args (@t79)) % 202.93/203.25 (step @p61 :rule trans :premises (@p60 @p59)) % 202.93/203.25 (step @p62 :rule cong :premises (@p59 @p61) :args ((= @t78 @t79))) % 202.93/203.25 (step @p63 :rule trans :premises (@p62 @p44)) % 202.93/203.25 (step @p64 :rule true_elim :premises (@p63)) % 202.93/203.25 (step @p65 :rule refl :args (@t80)) % 202.93/203.25 (step @p66 :rule cong :premises (@p65 @p64) :args (@t81)) % 202.93/203.25 (step @p67 :rule cong :premises (@p27 @p66) :args ((=> @t67 @t81))) % 202.93/203.25 (step @p68 :rule eq-symm :args (@t78 @t80)) % 202.93/203.25 (step @p69 :rule eq-symm :args (@t71 @t50)) % 202.93/203.25 (step @p70 :rule cong :premises (@p69 @p9 @p45) :args (@t83)) % 202.93/203.25 (step @p71 :rule cong :premises (@p70 @p65) :args (@t84)) % 202.93/203.25 (step @p72 :rule trans :premises (@p71 @p68)) % 202.93/203.25 (step @p73 :rule cong :premises (@p27 @p72) :args ((=> @t67 @t84))) % 202.93/203.25 (assume-push @p1081 @t67) % 202.93/203.25 (step @p75 :rule instantiate :premises (@p43) :args (@t85)) % 202.93/203.25 (step-pop @p1082 :rule scope :premises (@p75)) % 202.93/203.25 (step @p76 :rule process_scope :premises (@p1082) :args (@t84)) % 202.93/203.25 (step @p78 :rule eq_resolve :premises (@p76 @p73)) % 202.93/203.25 (step @p79 :rule eq_resolve :premises (@p78 @p67)) % 202.93/203.25 (step @p80 :rule implies_elim :premises (@p79)) % 202.93/203.25 (step @p81 :rule chain_m_resolution :premises (@p80 @p43) :args (@t86 @t63 @t87)) % 202.93/203.25 (step @p82 :rule eq-symm :args (@t90 @t92)) % 202.93/203.25 (step @p83 :rule eq-refl :args (@t91)) % 202.93/203.25 (step @p84 :rule skolem_intro :args (@t92)) % 202.93/203.25 (step @p85 :rule refl :args (@t91)) % 202.93/203.25 (step @p86 :rule cong :premises (@p85 @p84) :args ((= @t91 @t92))) % 202.93/203.25 (step @p87 :rule trans :premises (@p86 @p83)) % 202.93/203.25 (step @p88 :rule true_elim :premises (@p87)) % 202.93/203.25 (step @p89 :rule eq-refl :args (@t89)) % 202.93/203.25 (step @p90 :rule skolem_intro :args (@t90)) % 202.93/203.25 (step @p91 :rule refl :args (@t89)) % 202.93/203.25 (step @p92 :rule cong :premises (@p91 @p90) :args ((= @t89 @t90))) % 202.93/203.25 (step @p93 :rule trans :premises (@p92 @p89)) % 202.93/203.25 (step @p94 :rule true_elim :premises (@p93)) % 202.93/203.25 (step @p95 :rule cong :premises (@p94 @p88) :args (@t93)) % 202.93/203.25 (step @p96 :rule trans :premises (@p95 @p82)) % 202.93/203.25 (step @p97 :rule cong :premises (@p96) :args ((not @t93))) % 202.93/203.25 (step @p98 :rule eq-symm :args (@t18 @t17)) % 202.93/203.25 (step @p99 :rule refl :args (@t20)) % 202.93/203.25 (step @p100 :rule nary_cong :premises (@p99 @p98) :args (@t21)) % 202.93/203.25 (step @p101 :rule eq-symm :args (@t18 @t4)) % 202.93/203.25 (step @p102 :rule refl :args (@t19)) % 202.93/203.25 (step @p103 :rule nary_cong :premises (@p102 @p101) :args (@t22)) % 202.93/203.25 (step @p104 :rule nary_cong :premises (@p103 @p100) :args (@t23)) % 202.93/203.25 (step @p105 :rule cong :premises (@p104) :args (@t25)) % 202.93/203.25 (step @p106 :rule refl :args (tptp.eps2)) % 202.93/203.25 (step @p107 :rule ho_cong :premises (@p106 @p105)) % 202.93/203.25 (step @p108 :rule cong :premises (@p107) :args (@t28)) % 202.93/203.25 (step @p109 :rule trans :premises (@p6 @p108)) % 202.93/203.25 (step @p110 :rule refl :args (tptp.eps1)) % 202.93/203.25 (step @p111 :rule ho_cong :premises (@p110 @p105)) % 202.93/203.25 (step @p112 :rule cong :premises (@p111) :args (@t27)) % 202.93/203.25 (step @p113 :rule trans :premises (@p5 @p112)) % 202.93/203.25 (step @p114 :rule cong :premises (@p113 @p109) :args (@t15)) % 202.93/203.25 (step @p115 :rule cong :premises (@p114) :args (@t16)) % 202.93/203.25 (step @p116 :rule trans :premises (@p115 @p97)) % 202.93/203.25 (step @p117 :rule eq_resolve :premises (@p3 @p116)) % 202.93/203.25 (step @p118 :rule eq-symm :args (@t94 @t51)) % 202.93/203.25 (step @p119 :rule refl :args (@t51)) % 202.93/203.25 (step @p120 :rule refl :args (@t95)) % 202.93/203.25 (step @p121 :rule cong :premises (@p120 @p119) :args ((= @t95 @t51))) % 202.93/203.25 (step @p122 :rule symm :premises (@p121)) % 202.93/203.25 (step @p123 :rule eq_resolve :premises (@p120 @p122)) % 202.93/203.25 (step @p124 :rule eq-refl :args (@t74)) % 202.93/203.25 (step @p125 :rule cong :premises (@p53 @p55) :args ((= @t49 @t50))) % 202.93/203.25 (step @p126 :rule trans :premises (@p125 @p124)) % 202.93/203.25 (step @p127 :rule true_elim :premises (@p126)) % 202.93/203.25 (step @p128 :rule ho_cong :premises (@p110 @p127)) % 202.93/203.25 (step @p129 :rule trans :premises (@p128 @p123)) % 202.93/203.25 (step @p130 :rule eq-refl :args (@t96)) % 202.93/203.25 (step @p131 :rule refl :args (@t96)) % 202.93/203.25 (step @p132 :rule eq-symm :args (@t39 @t18)) % 202.93/203.25 (step @p133 :rule refl :args (@t73)) % 202.93/203.25 (step @p134 :rule nary_cong :premises (@p133 @p132) :args (@t97)) % 202.93/203.25 (step @p135 :rule eq-symm :args (@t45 @t18)) % 202.93/203.25 (step @p136 :rule refl :args (@t41)) % 202.93/203.25 (step @p137 :rule nary_cong :premises (@p136 @p135) :args (@t98)) % 202.93/203.25 (step @p138 :rule nary_cong :premises (@p137 @p134) :args (@t99)) % 202.93/203.25 (step @p139 :rule cong :premises (@p138) :args (@t100)) % 202.93/203.25 (step @p140 :rule ho_cong :premises (@p110 @p139)) % 202.93/203.25 (step @p141 :rule beta-reduce :args ((= @t101 (_ tptp.eps1 @t100)))) % 202.93/203.25 (step @p142 :rule trans :premises (@p141 @p140)) % 202.93/203.25 (step @p143 :rule cong :premises (@p142 @p131) :args ((= @t101 @t96))) % 202.93/203.25 (step @p144 :rule trans :premises (@p143 @p130)) % 202.93/203.25 (step @p145 :rule ho_cong :premises (@p110 @p53)) % 202.93/203.25 (step @p146 :rule refl :args (@t39)) % 202.93/203.25 (step @p147 :rule refl :args (@t45)) % 202.93/203.25 (step @p148 :rule ho_cong :premises (@p90 @p47 @p147 @p146)) % 202.93/203.25 (step @p149 :rule cong :premises (@p148 @p145) :args ((= (_ @t90 @t42 @t45 @t39) (_ tptp.eps1 @t49)))) % 202.93/203.25 (step @p150 :rule trans :premises (@p149 @p144)) % 202.93/203.25 (step @p151 :rule true_elim :premises (@p150)) % 202.93/203.25 (step @p152 :rule trans :premises (@p151 @p129)) % 202.93/203.25 (step @p153 :rule eq-refl :args (@t41)) % 202.93/203.25 (step @p154 :rule cong :premises (@p136 @p47) :args ((= @t41 @t42))) % 202.93/203.25 (step @p155 :rule trans :premises (@p154 @p153)) % 202.93/203.25 (step @p156 :rule true_elim :premises (@p155)) % 202.93/203.25 (step @p157 :rule cong :premises (@p156 @p147 @p146) :args (@t102)) % 202.93/203.25 (step @p158 :rule trans :premises (@p157 @p152)) % 202.93/203.25 (step @p159 :rule refl :args (@t94)) % 202.93/203.25 (step @p160 :rule refl :args (@t103)) % 202.93/203.25 (step @p161 :rule cong :premises (@p160 @p159) :args ((= @t103 @t94))) % 202.93/203.25 (step @p162 :rule symm :premises (@p161)) % 202.93/203.25 (step @p163 :rule eq_resolve :premises (@p160 @p162)) % 202.93/203.25 (step @p164 :rule ho_cong :premises (@p106 @p127)) % 202.93/203.25 (step @p165 :rule trans :premises (@p164 @p163)) % 202.93/203.25 (step @p166 :rule eq-refl :args (@t104)) % 202.93/203.25 (step @p167 :rule refl :args (@t104)) % 202.93/203.25 (step @p168 :rule ho_cong :premises (@p106 @p139)) % 202.93/203.25 (step @p169 :rule beta-reduce :args ((= @t105 (_ tptp.eps2 @t100)))) % 202.93/203.25 (step @p170 :rule trans :premises (@p169 @p168)) % 202.93/203.25 (step @p171 :rule cong :premises (@p170 @p167) :args ((= @t105 @t104))) % 202.93/203.25 (step @p172 :rule trans :premises (@p171 @p166)) % 202.93/203.25 (step @p173 :rule ho_cong :premises (@p106 @p53)) % 202.93/203.25 (step @p174 :rule ho_cong :premises (@p84 @p47 @p147 @p146)) % 202.93/203.25 (step @p175 :rule cong :premises (@p174 @p173) :args ((= (_ @t92 @t42 @t45 @t39) (_ tptp.eps2 @t49)))) % 202.93/203.25 (step @p176 :rule trans :premises (@p175 @p172)) % 202.93/203.25 (step @p177 :rule true_elim :premises (@p176)) % 202.93/203.25 (step @p178 :rule trans :premises (@p177 @p165)) % 202.93/203.25 (step @p179 :rule cong :premises (@p156 @p147 @p146) :args (@t106)) % 202.93/203.25 (step @p180 :rule trans :premises (@p179 @p178)) % 202.93/203.25 (step @p181 :rule cong :premises (@p180 @p158) :args (@t107)) % 202.93/203.25 (step @p182 :rule trans :premises (@p181 @p118)) % 202.93/203.25 (step @p183 :rule cong :premises (@p182) :args (@t108)) % 202.93/203.25 (step @p184 :rule refl :args (@t109)) % 202.93/203.25 (step @p185 :rule nary_cong :premises (@p184 @p183) :args (@t110)) % 202.93/203.25 ; trust TRUST THEORY_LEMMA % 202.93/203.25 (step @p186 :rule trust :premises () :args (@t110)) % 202.93/203.25 (step @p187 :rule eq_resolve :premises (@p186 @p185)) % 202.93/203.25 (step @p188 :rule chain_m_resolution :premises (@p187 @p117) :args (@t112 @t70 (@list @t109))) % 202.93/203.25 (step @p189 :rule refl :args (@t113)) % 202.93/203.25 (step @p190 :rule ite-true-cond :args (@t51 @t94)) % 202.93/203.25 (step @p191 :rule refl :args (@t94)) % 202.93/203.25 (step @p192 :rule eq-refl :args (@t50)) % 202.93/203.25 (step @p193 :rule cong :premises (@p192 @p9 @p191) :args (@t115)) % 202.93/203.25 (step @p194 :rule trans :premises (@p193 @p190)) % 202.93/203.25 (step @p195 :rule cong :premises (@p194 @p189) :args (@t116)) % 202.93/203.25 (step @p196 :rule cong :premises (@p27 @p195) :args ((=> @t67 @t116))) % 202.93/203.25 (assume-push @p1083 @t67) % 202.93/203.25 (step @p198 :rule instantiate :premises (@p43) :args (@t117)) % 202.93/203.25 (step-pop @p1084 :rule scope :premises (@p198)) % 202.93/203.25 (step @p199 :rule process_scope :premises (@p1084) :args (@t116)) % 202.93/203.25 (step @p201 :rule eq_resolve :premises (@p199 @p196)) % 202.93/203.25 (step @p202 :rule implies_elim :premises (@p201)) % 202.93/203.25 (step @p203 :rule chain_m_resolution :premises (@p202 @p43) :args (@t118 @t63 @t87)) % 202.93/203.25 (assume-push @p1085 @t118) % 202.93/203.25 (assume-push @p1086 @t119) % 202.93/203.25 (assume-push @p1087 @t119) % 202.93/203.25 (assume-push @p1088 @t118) % 202.93/203.25 (step @p208 :rule refl :args (@t50)) % 202.93/203.25 (step @p209 :rule symm :premises (@p1086)) % 202.93/203.25 (step @p210 :rule ho_cong :premises (@p209 @p208)) % 202.93/203.25 (step @p211 :rule trans :premises (@p203 @p210)) % 202.93/203.25 (step-pop @p1089 :rule scope :premises (@p211)) % 202.93/203.25 (step-pop @p1090 :rule scope :premises (@p1089)) % 202.93/203.25 (step @p212 :rule process_scope :premises (@p1090) :args (@t111)) % 202.93/203.25 (step @p215 :rule and_intro :premises (@p1086 @p203)) % 202.93/203.25 (step @p216 :rule modus_ponens :premises (@p215 @p212)) % 202.93/203.25 (step-pop @p1091 :rule scope :premises (@p216)) % 202.93/203.25 (step-pop @p1092 :rule scope :premises (@p1091)) % 202.93/203.25 (step @p217 :rule process_scope :premises (@p1092) :args (@t111)) % 202.93/203.25 (step @p220 :rule implies_elim :premises (@p217)) % 202.93/203.25 (step @p221 :rule cnf_and_neg :args (@t120)) % 202.93/203.25 (step @p222 :rule resolution :premises (@p221 @p220) :args (true @t120)) % 202.93/203.25 (step @p223 :rule reordering :premises (@p222) :args ((or @t111 (not @t118) @t121))) % 202.93/203.25 (step @p224 :rule chain_m_resolution :premises (@p223 @p203 @p188) :args (@t121 (@list false true) (@list @t118 @t111))) % 202.93/203.25 ; trust TRUST THEORY_LEMMA % 202.93/203.25 (step @p225 :rule trust :premises () :args ((or @t119 @t123))) % 202.93/203.25 (step @p226 :rule chain_m_resolution :premises (@p225 @p224) :args (@t123 @t70 (@list @t119))) % 202.93/203.25 (step @p227 :rule refl :args (@t125)) % 202.93/203.25 (step @p228 :rule refl :args (@t126)) % 202.93/203.25 (step @p229 :rule bool-double-not-elim :args (@t122)) % 202.93/203.25 (step @p230 :rule nary_cong :premises (@p229 @p228 @p227) :args ((or @t127 @t126 @t125))) % 202.93/203.25 (assume-push @p1093 @t123) % 202.93/203.25 (assume-push @p1094 @t86) % 202.93/203.25 (assume-push @p1095 @t123) % 202.93/203.25 (assume-push @p1096 @t86) % 202.93/203.25 (step @p235 :rule false_intro :premises (@p1093)) % 202.93/203.25 (step @p236 :rule symm :premises (@p81)) % 202.93/203.25 (step @p237 :rule cong :premises (@p45 @p236) :args (@t124)) % 202.93/203.25 (step @p238 :rule trans :premises (@p237 @p235)) % 202.93/203.25 (step @p239 :rule false_elim :premises (@p238)) % 202.93/203.25 (step-pop @p1097 :rule scope :premises (@p239)) % 202.93/203.25 (step-pop @p1098 :rule scope :premises (@p1097)) % 202.93/203.25 (step @p240 :rule process_scope :premises (@p1098) :args (@t125)) % 202.93/203.25 (step @p243 :rule and_intro :premises (@p1093 @p81)) % 202.93/203.25 (step @p244 :rule modus_ponens :premises (@p243 @p240)) % 202.93/203.25 (step-pop @p1099 :rule scope :premises (@p244)) % 202.93/203.25 (step-pop @p1100 :rule scope :premises (@p1099)) % 202.93/203.25 (step @p245 :rule process_scope :premises (@p1100) :args (@t125)) % 202.93/203.25 (step @p248 :rule implies_elim :premises (@p245)) % 202.93/203.25 (step @p249 :rule cnf_and_neg :args (@t128)) % 202.93/203.25 (step @p250 :rule resolution :premises (@p249 @p248) :args (true @t128)) % 202.93/203.25 (step @p251 :rule eq_resolve :premises (@p250 @p230)) % 202.93/203.25 (step @p252 :rule chain_m_resolution :premises (@p251 @p226 @p81) :args (@t125 @t129 (@list @t122 @t86))) % 202.93/203.25 (step @p253 :rule eq-symm :args (@t79 @t72)) % 202.93/203.25 (step @p254 :rule eq-symm :args (@t79 @t51)) % 202.93/203.25 (step @p255 :rule refl :args (@t77)) % 202.93/203.25 (step @p256 :rule cong :premises (@p255 @p254 @p253) :args ((ite @t77 (= @t79 @t51) (= @t79 @t72)))) % 202.93/203.25 (step @p257 :rule cong :premises (@p64 @p45) :args (@t130)) % 202.93/203.25 (step @p258 :rule cong :premises (@p64 @p9) :args (@t131)) % 202.93/203.25 (step @p259 :rule cong :premises (@p255 @p258 @p257) :args ((ite @t77 @t131 @t130))) % 202.93/203.25 (step @p260 :rule ite_eq :args (@t78)) % 202.93/203.25 (step @p261 :rule eq_resolve :premises (@p260 @p259)) % 202.93/203.25 (step @p262 :rule eq_resolve :premises (@p261 @p256)) % 202.93/203.25 (step @p263 :rule ite_elim2 :premises (@p262)) % 202.93/203.25 (step @p264 :rule chain_m_resolution :premises (@p263 @p252) :args (@t77 @t70 (@list @t124))) % 202.93/203.25 ; trust TRUST PREPROCESS_HO_ELIM_LEMMA % 202.93/203.25 (step @p265 :rule trust :premises () :args (@t140)) % 202.93/203.25 (step @p266 :rule refl :args (@t141)) % 202.93/203.25 (step @p267 :rule eq-symm :args (@t94 @t132)) % 202.93/203.25 (step @p268 :rule cong :premises (@p267) :args (@t143)) % 202.93/203.25 (step @p269 :rule nary_cong :premises (@p268 @p266) :args ((and @t143 @t141))) % 202.93/203.25 (step @p270 :rule ite-then-false :args (@t142 @t141)) % 202.93/203.25 (step @p271 :rule trans :premises (@p270 @p269)) % 202.93/203.25 (step @p272 :rule refl :args (@t137)) % 202.93/203.25 (step @p273 :rule cong :premises (@p272 @p271) :args (@t144)) % 202.93/203.25 (step @p274 :rule cong :premises (@p273) :args (@t145)) % 202.93/203.25 (step @p275 :rule cong :premises (@p274) :args (@t146)) % 202.93/203.25 (step @p276 :rule cong :premises (@p275) :args (@t147)) % 202.93/203.25 (step @p277 :rule cong :premises (@p276) :args (@t148)) % 202.93/203.25 (step @p278 :rule refl :args (@t140)) % 202.93/203.25 (step @p279 :rule cong :premises (@p278 @p277) :args ((=> @t140 @t148))) % 202.93/203.25 (assume-push @p1101 @t140) % 202.93/203.25 (step @p281 :rule instantiate :premises (@p265) :args ((@list @t50 false @t94))) % 202.93/203.25 (step-pop @p1102 :rule scope :premises (@p281)) % 202.93/203.25 (step @p282 :rule process_scope :premises (@p1102) :args (@t148)) % 202.93/203.25 (step @p284 :rule eq_resolve :premises (@p282 @p279)) % 202.93/203.25 (step @p285 :rule implies_elim :premises (@p284)) % 202.93/203.25 (step @p286 :rule chain_m_resolution :premises (@p285 @p265) :args (@t151 @t63 (@list @t140))) % 202.93/203.25 (step @p287 :rule refl :args (@t154)) % 202.93/203.25 (step @p288 :rule bool-double-not-elim :args (@t150)) % 202.93/203.25 (step @p289 :rule nary_cong :premises (@p288 @p287) :args ((or (not @t151) @t154))) % 202.93/203.25 (step @p290 :rule eq-symm :args (@t153 @t149)) % 202.93/203.25 (step @p291 :rule cong :premises (@p290) :args (@t155)) % 202.93/203.25 (step @p292 :rule bool-double-not-elim :args (@t155)) % 202.93/203.25 (step @p293 :rule trans :premises (@p292 @p291)) % 202.93/203.25 (step @p294 :rule refl :args (@t151)) % 202.93/203.25 (step @p295 :rule cong :premises (@p294 @p293) :args ((=> @t151 @t156))) % 202.93/203.25 (assume-push @p1103 @t151) % 202.93/203.25 (step @p297 :rule skolemize :premises (@p286)) % 202.93/203.25 (step-pop @p1104 :rule scope :premises (@p297)) % 202.93/203.25 (step @p298 :rule process_scope :premises (@p1104) :args (@t156)) % 202.93/203.25 (step @p300 :rule eq_resolve :premises (@p298 @p295)) % 202.93/203.25 (step @p301 :rule implies_elim :premises (@p300)) % 202.93/203.25 (step @p302 :rule eq_resolve :premises (@p301 @p289)) % 202.93/203.25 (step @p303 :rule chain_m_resolution :premises (@p302 @p286) :args (@t154 @t70 (@list @t150))) % 202.93/203.25 (step @p304 :rule eq-refl :args (@t160)) % 202.93/203.25 (step @p305 :rule refl :args (@t160)) % 202.93/203.25 (step @p306 :rule eq-symm :args (@t157 @t39)) % 202.93/203.25 (step @p307 :rule nary_cong :premises (@p133 @p306) :args (@t161)) % 202.93/203.25 (step @p308 :rule eq-symm :args (@t157 @t45)) % 202.93/203.25 (step @p309 :rule nary_cong :premises (@p136 @p308) :args (@t162)) % 202.93/203.25 (step @p310 :rule nary_cong :premises (@p309 @p307) :args (@t163)) % 202.93/203.25 (step @p311 :rule beta-reduce :args ((= @t164 @t163))) % 202.93/203.25 (step @p312 :rule trans :premises (@p311 @p310)) % 202.93/203.25 (step @p313 :rule cong :premises (@p312 @p305) :args ((= @t164 @t160))) % 202.93/203.25 (step @p314 :rule trans :premises (@p313 @p304)) % 202.93/203.25 (step @p315 :rule eq-symm :args (@t160 @t164)) % 202.93/203.25 (step @p316 :rule trans :premises (@p315 @p314)) % 202.93/203.25 (step @p317 :rule refl :args (@t157)) % 202.93/203.25 (step @p318 :rule ho_cong :premises (@p55 @p317)) % 202.93/203.25 (step @p319 :rule refl :args (@t158)) % 202.93/203.25 (step @p320 :rule nary_cong :premises (@p48 @p319) :args (@t165)) % 202.93/203.25 (step @p321 :rule refl :args (@t159)) % 202.93/203.25 (step @p322 :rule nary_cong :premises (@p47 @p321) :args (@t166)) % 202.93/203.25 (step @p323 :rule nary_cong :premises (@p322 @p320) :args (@t167)) % 202.93/203.25 (step @p324 :rule cong :premises (@p323 @p318) :args ((= @t167 @t168))) % 202.93/203.25 (step @p325 :rule eq-symm :args (@t168 @t167)) % 202.93/203.25 (step @p326 :rule trans :premises (@p325 @p324 @p316)) % 202.93/203.25 (step @p327 :rule true_elim :premises (@p326)) % 202.93/203.25 (step @p328 :rule refl :args (@t169)) % 202.93/203.25 (step @p329 :rule nary_cong :premises (@p328 @p327) :args (@t170)) % 202.93/203.25 (step @p330 :rule refl :args (@t171)) % 202.93/203.25 (step @p331 :rule cong :premises (@p330 @p329) :args (@t172)) % 202.93/203.25 (step @p332 :rule cong :premises (@p287 @p331) :args ((=> @t154 @t172))) % 202.93/203.25 (step @p333 :rule refl :args (@t168)) % 202.93/203.25 (step @p334 :rule eq-symm :args (@t157 @t94)) % 202.93/203.25 (step @p335 :rule cong :premises (@p334) :args (@t173)) % 202.93/203.25 (step @p336 :rule nary_cong :premises (@p335 @p333) :args (@t174)) % 202.93/203.25 (step @p337 :rule cong :premises (@p330 @p336) :args ((= @t171 @t174))) % 202.93/203.25 (step @p338 :rule eq-symm :args (@t174 @t171)) % 202.93/203.25 (step @p339 :rule trans :premises (@p338 @p337)) % 202.93/203.25 (step @p340 :rule cong :premises (@p287 @p339) :args ((=> @t154 @t175))) % 202.93/203.25 (assume-push @p1105 @t154) % 202.93/203.25 (step @p342 :rule instantiate :premises (@p303) :args ((@list @t157))) % 202.93/203.25 (step-pop @p1106 :rule scope :premises (@p342)) % 202.93/203.25 (step @p343 :rule process_scope :premises (@p1106) :args (@t175)) % 202.93/203.25 (step @p345 :rule eq_resolve :premises (@p343 @p340)) % 202.93/203.25 (step @p346 :rule eq_resolve :premises (@p345 @p332)) % 202.93/203.25 (step @p347 :rule implies_elim :premises (@p346)) % 202.93/203.25 (step @p348 :rule chain_m_resolution :premises (@p347 @p303) :args (@t177 @t63 @t178)) % 202.93/203.25 (step @p349 :rule quant-merge-prenex :args ((= (forall @t9 @t186) @t184))) % 202.93/203.25 (step @p350 :rule refl :args (@t180)) % 202.93/203.25 (step @p351 :rule alpha_equiv :args (@t187 (@list @t181) @t188)) % 202.93/203.25 (step @p352 :rule nary_cong :premises (@p351 @p350) :args (@t189)) % 202.93/203.25 (step @p353 :rule quant-miniscope-or :args ((= @t186 @t189))) % 202.93/203.25 (step @p354 :rule trans :premises (@p353 @p352)) % 202.93/203.25 (step @p355 :rule symm :premises (@p354)) % 202.93/203.25 (step @p356 :rule cong :premises (@p355) :args ((forall @t9 (or @t191 @t180)))) % 202.93/203.25 (step @p357 :rule trans :premises (@p356 @p349)) % 202.93/203.25 (step @p358 :rule refl :args ((_ @t1 @t2))) % 202.93/203.25 (step @p359 :rule refl :args (@t179)) % 202.93/203.25 (step @p360 :rule cong :premises (@p359) :args (@t180)) % 202.93/203.25 (step @p361 :rule trans :premises (@p360 @p358)) % 202.93/203.25 (step @p362 :rule refl :args (@t1)) % 202.93/203.25 (step @p363 :rule ho_cong :premises (@p362 @p359)) % 202.93/203.25 (step @p364 :rule cong :premises (@p363 @p361) :args ((= (_ @t1 @t179) @t180))) % 202.93/203.25 (step @p365 :rule symm :premises (@p364)) % 202.93/203.25 (step @p366 :rule refl :args (@t3)) % 202.93/203.25 (step @p367 :rule eq_resolve :premises (@p366 @p365)) % 202.93/203.25 (step @p368 :rule refl :args (@t2)) % 202.93/203.25 (step @p369 :rule cong :premises (@p368 @p359) :args ((= @t2 @t179))) % 202.93/203.25 (step @p370 :rule symm :premises (@p369)) % 202.93/203.25 (step @p371 :rule eq_resolve :premises (@p368 @p370)) % 202.93/203.25 (step @p372 :rule ho_cong :premises (@p362 @p371)) % 202.93/203.25 (step @p373 :rule trans :premises (@p372 @p367)) % 202.93/203.25 (step @p374 :rule refl :args (@t191)) % 202.93/203.25 (step @p375 :rule nary_cong :premises (@p374 @p373) :args (@t192)) % 202.93/203.25 (step @p376 :rule cong :premises (@p375) :args ((forall @t9 @t192))) % 202.93/203.25 (step @p377 :rule trans :premises (@p376 @p357)) % 202.93/203.25 (step @p378 :rule bool-double-not-elim :args (@t191)) % 202.93/203.25 (step @p379 :rule nary_cong :premises (@p378 @p366) :args ((or @t194 @t3))) % 202.93/203.25 (step @p380 :rule bool-impl-elim :args (@t193 @t3)) % 202.93/203.25 (step @p381 :rule trans :premises (@p380 @p379)) % 202.93/203.25 (step @p382 :rule cong :premises (@p381) :args ((forall @t9 (=> @t193 @t3)))) % 202.93/203.25 (step @p383 :rule trans :premises (@p382 @p377)) % 202.93/203.25 (step @p384 :rule refl :args (@t3)) % 202.93/203.25 (step @p385 :rule refl :args (@t190)) % 202.93/203.25 (step @p386 :rule refl :args (@t5)) % 202.93/203.25 (step @p387 :rule cong :premises (@p386 @p385) :args ((= @t5 @t190))) % 202.93/203.25 (step @p388 :rule symm :premises (@p387)) % 202.93/203.25 (step @p389 :rule eq_resolve :premises (@p386 @p388)) % 202.93/203.25 (step @p390 :rule cong :premises (@p389) :args (@t195)) % 202.93/203.25 (step @p391 :rule cong :premises (@p390) :args (@t196)) % 202.93/203.25 (step @p392 :rule cong :premises (@p391) :args (@t197)) % 202.93/203.25 (step @p393 :rule exists-elim :args ((= @t7 @t197))) % 202.93/203.25 (step @p394 :rule trans :premises (@p393 @p392)) % 202.93/203.25 (step @p395 :rule cong :premises (@p394 @p384) :args (@t8)) % 202.93/203.25 (step @p396 :rule cong :premises (@p395) :args (@t10)) % 202.93/203.25 (step @p397 :rule trans :premises (@p396 @p383)) % 202.93/203.25 (step @p398 :rule eq_resolve :premises (@p1 @p397)) % 202.93/203.25 (step @p399 :rule instantiate :premises (@p398) :args ((@list @t152 @t39))) % 202.93/203.25 (step @p400 :rule eq-symm :args (@t203 @t204)) % 202.93/203.25 (step @p401 :rule refl :args (@t204)) % 202.93/203.25 (step @p402 :rule eq-refl :args (@t205)) % 202.93/203.25 (step @p403 :rule aci_norm :args ((= (and @t73 true) @t73))) % 202.93/203.25 (step @p404 :rule eq-refl :args (@t39)) % 202.93/203.25 (step @p405 :rule nary_cong :premises (@p133 @p404) :args (@t206)) % 202.93/203.25 (step @p406 :rule trans :premises (@p405 @p403)) % 202.93/203.25 (step @p407 :rule eq-symm :args (@t39 @t45)) % 202.93/203.25 (step @p408 :rule nary_cong :premises (@p136 @p407) :args (@t207)) % 202.93/203.25 (step @p409 :rule nary_cong :premises (@p408 @p406) :args (@t208)) % 202.93/203.25 (step @p410 :rule beta-reduce :args ((= @t209 @t208))) % 202.93/203.25 (step @p411 :rule trans :premises (@p410 @p409)) % 202.93/203.25 (step @p412 :rule refl :args (@t205)) % 202.93/203.25 (step @p413 :rule cong :premises (@p412 @p411) :args ((= @t205 @t209))) % 202.93/203.25 (step @p414 :rule trans :premises (@p413 @p402)) % 202.93/203.25 (step @p415 :rule eq-symm :args (@t209 @t205)) % 202.93/203.25 (step @p416 :rule trans :premises (@p415 @p414)) % 202.93/203.25 (step @p417 :rule refl :args (@t198)) % 202.93/203.25 (step @p418 :rule nary_cong :premises (@p47 @p417) :args (@t199)) % 202.93/203.25 (step @p419 :rule nary_cong :premises (@p418 @p48) :args (@t200)) % 202.93/203.25 (step @p420 :rule ho_cong :premises (@p55 @p146)) % 202.93/203.25 (step @p421 :rule cong :premises (@p420 @p419) :args ((= @t210 @t200))) % 202.93/203.25 (step @p422 :rule trans :premises (@p421 @p416)) % 202.93/203.25 (step @p423 :rule true_elim :premises (@p422)) % 202.93/203.25 (step @p424 :rule refl :args (@t202)) % 202.93/203.25 (step @p425 :rule nary_cong :premises (@p424 @p423) :args (@t211)) % 202.93/203.25 (step @p426 :rule cong :premises (@p425 @p401) :args (@t212)) % 202.93/203.25 (step @p427 :rule trans :premises (@p426 @p400)) % 202.93/203.25 (step @p428 :rule cong :premises (@p287 @p427) :args ((=> @t154 @t212))) % 202.93/203.25 (assume-push @p1107 @t154) % 202.93/203.25 (step @p430 :rule instantiate :premises (@p303) :args ((@list @t39))) % 202.93/203.25 (step-pop @p1108 :rule scope :premises (@p430)) % 202.93/203.25 (step @p431 :rule process_scope :premises (@p1108) :args (@t212)) % 202.93/203.25 (step @p433 :rule eq_resolve :premises (@p431 @p428)) % 202.93/203.25 (step @p434 :rule implies_elim :premises (@p433)) % 202.93/203.25 (step @p435 :rule chain_m_resolution :premises (@p434 @p303) :args (@t213 @t63 @t178)) % 202.93/203.25 (step @p436 :rule cnf_and_pos :args (@t214 0)) % 202.93/203.25 (step @p437 :rule reordering :premises (@p436) :args ((or @t43 @t215))) % 202.93/203.25 (step @p438 :rule cnf_and_pos :args (@t217 0)) % 202.93/203.25 (step @p439 :rule reordering :premises (@p438) :args ((or @t43 @t218))) % 202.93/203.25 (step @p440 :rule cnf_and_pos :args (@t165 0)) % 202.93/203.25 (step @p441 :rule reordering :premises (@p440) :args ((or @t43 @t219))) % 202.93/203.25 (step @p442 :rule cnf_or_neg :args (@t221 0)) % 202.93/203.25 (step @p443 :rule reordering :premises (@p442) :args ((or @t43 @t221))) % 202.93/203.25 (step @p444 :rule cnf_and_pos :args (@t224 0)) % 202.93/203.25 (step @p445 :rule reordering :premises (@p444) :args ((or @t43 @t225))) % 202.93/203.25 (step @p446 :rule cnf_or_pos :args (@t228)) % 202.93/203.25 (step @p447 :rule reordering :premises (@p446) :args ((or @t227 @t217 @t229))) % 202.93/203.25 (step @p448 :rule quant-merge-prenex :args ((= (forall @t9 @t237) @t235))) % 202.93/203.25 (step @p449 :rule refl :args (@t231)) % 202.93/203.25 (step @p450 :rule alpha_equiv :args (@t238 (@list @t232) @t188)) % 202.93/203.25 (step @p451 :rule nary_cong :premises (@p450 @p449) :args (@t239)) % 202.93/203.25 (step @p452 :rule quant-miniscope-or :args ((= @t237 @t239))) % 202.93/203.25 (step @p453 :rule trans :premises (@p452 @p451)) % 202.93/203.25 (step @p454 :rule symm :premises (@p453)) % 202.93/203.25 (step @p455 :rule cong :premises (@p454) :args ((forall @t9 (or @t191 @t231)))) % 202.93/203.25 (step @p456 :rule trans :premises (@p455 @p448)) % 202.93/203.25 (step @p457 :rule refl :args ((_ @t1 @t11))) % 202.93/203.25 (step @p458 :rule refl :args (@t230)) % 202.93/203.25 (step @p459 :rule cong :premises (@p458) :args (@t231)) % 202.93/203.25 (step @p460 :rule trans :premises (@p459 @p457)) % 202.93/203.25 (step @p461 :rule ho_cong :premises (@p362 @p458)) % 202.93/203.25 (step @p462 :rule cong :premises (@p461 @p460) :args ((= (_ @t1 @t230) @t231))) % 202.93/203.25 (step @p463 :rule symm :premises (@p462)) % 202.93/203.25 (step @p464 :rule refl :args (@t12)) % 202.93/203.25 (step @p465 :rule eq_resolve :premises (@p464 @p463)) % 202.93/203.25 (step @p466 :rule refl :args (@t11)) % 202.93/203.25 (step @p467 :rule cong :premises (@p466 @p458) :args ((= @t11 @t230))) % 202.93/203.25 (step @p468 :rule symm :premises (@p467)) % 202.93/203.25 (step @p469 :rule eq_resolve :premises (@p466 @p468)) % 202.93/203.25 (step @p470 :rule ho_cong :premises (@p362 @p469)) % 202.93/203.25 (step @p471 :rule trans :premises (@p470 @p465)) % 202.93/203.25 (step @p472 :rule nary_cong :premises (@p374 @p471) :args (@t240)) % 202.93/203.25 (step @p473 :rule cong :premises (@p472) :args ((forall @t9 @t240))) % 202.93/203.25 (step @p474 :rule trans :premises (@p473 @p456)) % 202.93/203.25 (step @p475 :rule nary_cong :premises (@p378 @p464) :args ((or @t194 @t12))) % 202.93/203.25 (step @p476 :rule bool-impl-elim :args (@t193 @t12)) % 202.93/203.25 (step @p477 :rule trans :premises (@p476 @p475)) % 202.93/203.25 (step @p478 :rule cong :premises (@p477) :args ((forall @t9 (=> @t193 @t12)))) % 202.93/203.25 (step @p479 :rule trans :premises (@p478 @p474)) % 202.93/203.25 (step @p480 :rule refl :args (@t12)) % 202.93/203.25 (step @p481 :rule cong :premises (@p394 @p480) :args (@t13)) % 202.93/203.25 (step @p482 :rule cong :premises (@p481) :args (@t14)) % 202.93/203.25 (step @p483 :rule trans :premises (@p482 @p479)) % 202.93/203.25 (step @p484 :rule eq_resolve :premises (@p2 @p483)) % 202.93/203.25 (step @p485 :rule aci_norm :args ((= (or @t229 @t244) @t243))) % 202.93/203.25 (step @p486 :rule eq-refl :args (@t246)) % 202.93/203.25 (step @p487 :rule eq-symm :args (@t245 @t39)) % 202.93/203.25 (step @p488 :rule nary_cong :premises (@p133 @p487) :args (@t247)) % 202.93/203.25 (step @p489 :rule eq-symm :args (@t245 @t45)) % 202.93/203.25 (step @p490 :rule nary_cong :premises (@p136 @p489) :args (@t248)) % 202.93/203.25 (step @p491 :rule nary_cong :premises (@p490 @p488) :args (@t249)) % 202.93/203.25 (step @p492 :rule beta-reduce :args ((= @t250 @t249))) % 202.93/203.25 (step @p493 :rule trans :premises (@p492 @p491)) % 202.93/203.25 (step @p494 :rule refl :args (@t246)) % 202.93/203.25 (step @p495 :rule cong :premises (@p494 @p493) :args ((= @t246 @t250))) % 202.93/203.25 (step @p496 :rule trans :premises (@p495 @p486)) % 202.93/203.25 (step @p497 :rule eq-symm :args (@t250 @t246)) % 202.93/203.25 (step @p498 :rule trans :premises (@p497 @p496)) % 202.93/203.25 (step @p499 :rule cong :premises (@p55) :args (@t94)) % 202.93/203.25 (step @p500 :rule cong :premises (@p146 @p499) :args (@t201)) % 202.93/203.25 (step @p501 :rule nary_cong :premises (@p48 @p500) :args (@t214)) % 202.93/203.25 (step @p502 :rule cong :premises (@p147 @p499) :args (@t241)) % 202.93/203.25 (step @p503 :rule nary_cong :premises (@p47 @p502) :args (@t242)) % 202.93/203.25 (step @p504 :rule nary_cong :premises (@p503 @p501) :args (@t244)) % 202.93/203.25 (step @p505 :rule ho_cong :premises (@p55 @p499)) % 202.93/203.25 (step @p506 :rule cong :premises (@p505 @p504) :args ((= @t251 @t244))) % 202.93/203.25 (step @p507 :rule trans :premises (@p506 @p498)) % 202.93/203.25 (step @p508 :rule true_elim :premises (@p507)) % 202.93/203.25 (step @p509 :rule eq-refl :args (@t252)) % 202.93/203.25 (step @p510 :rule eq-symm :args (@t75 @t39)) % 202.93/203.25 (step @p511 :rule nary_cong :premises (@p133 @p510) :args (@t253)) % 202.93/203.25 (step @p512 :rule eq-symm :args (@t75 @t45)) % 202.93/203.25 (step @p513 :rule nary_cong :premises (@p136 @p512) :args (@t254)) % 202.93/203.25 (step @p514 :rule nary_cong :premises (@p513 @p511) :args (@t255)) % 202.93/203.25 (step @p515 :rule beta-reduce :args ((= @t256 @t255))) % 202.93/203.25 (step @p516 :rule trans :premises (@p515 @p514)) % 202.93/203.25 (step @p517 :rule refl :args (@t252)) % 202.93/203.25 (step @p518 :rule cong :premises (@p517 @p516) :args ((= @t252 @t256))) % 202.93/203.25 (step @p519 :rule trans :premises (@p518 @p509)) % 202.93/203.25 (step @p520 :rule eq-symm :args (@t256 @t252)) % 202.93/203.25 (step @p521 :rule trans :premises (@p520 @p519)) % 202.93/203.25 (step @p522 :rule cong :premises (@p146 @p56) :args (@t216)) % 202.93/203.25 (step @p523 :rule nary_cong :premises (@p48 @p522) :args (@t217)) % 202.93/203.25 (step @p524 :rule cong :premises (@p147 @p56) :args (@t226)) % 202.93/203.25 (step @p525 :rule nary_cong :premises (@p47 @p524) :args (@t227)) % 202.93/203.25 (step @p526 :rule nary_cong :premises (@p525 @p523) :args (@t228)) % 202.93/203.25 (step @p527 :rule ho_cong :premises (@p55 @p56)) % 202.93/203.25 (step @p528 :rule cong :premises (@p527 @p526) :args ((= @t257 @t228))) % 202.93/203.25 (step @p529 :rule trans :premises (@p528 @p521)) % 202.93/203.25 (step @p530 :rule true_elim :premises (@p529)) % 202.93/203.25 (step @p531 :rule cong :premises (@p530) :args (@t258)) % 202.93/203.25 (step @p532 :rule nary_cong :premises (@p531 @p508) :args (@t259)) % 202.93/203.25 (step @p533 :rule trans :premises (@p532 @p485)) % 202.93/203.25 (step @p534 :rule refl :args (@t235)) % 202.93/203.25 (step @p535 :rule cong :premises (@p534 @p533) :args ((=> @t235 @t259))) % 202.93/203.25 (assume-push @p1109 @t235) % 202.93/203.25 (step @p537 :rule instantiate :premises (@p484) :args ((@list @t50 @t51))) % 202.93/203.25 (step-pop @p1110 :rule scope :premises (@p537)) % 202.93/203.25 (step @p538 :rule process_scope :premises (@p1110) :args (@t259)) % 202.93/203.25 (step @p540 :rule eq_resolve :premises (@p538 @p535)) % 202.93/203.25 (step @p541 :rule implies_elim :premises (@p540)) % 202.93/203.25 (step @p542 :rule chain_m_resolution :premises (@p541 @p484) :args (@t243 @t63 (@list @t235))) % 202.93/203.25 (step @p543 :rule cnf_or_pos :args (@t243)) % 202.93/203.25 (step @p544 :rule reordering :premises (@p543) :args ((or @t242 @t214 @t229 (not @t243)))) % 202.93/203.25 (step @p545 :rule cnf_and_pos :args (@t227 1)) % 202.93/203.25 (step @p546 :rule reordering :premises (@p545) :args ((or @t226 @t260))) % 202.93/203.25 (step @p547 :rule cnf_and_pos :args (@t242 1)) % 202.93/203.25 (step @p548 :rule reordering :premises (@p547) :args ((or @t241 @t261))) % 202.93/203.25 (step @p549 :rule refl :args (@t262)) % 202.93/203.25 (step @p550 :rule refl :args (@t263)) % 202.93/203.25 (step @p551 :rule bool-double-not-elim :args (@t111)) % 202.93/203.25 (step @p552 :rule nary_cong :premises (@p551 @p550 @p549) :args ((or (not @t112) @t263 @t262))) % 202.93/203.25 (assume-push @p1111 @t112) % 202.93/203.25 (assume-push @p1112 @t226) % 202.93/203.25 (assume-push @p1113 @t226) % 202.93/203.25 (assume-push @p1114 @t112) % 202.93/203.25 (step @p557 :rule false_intro :premises (@p188)) % 202.93/203.25 (step @p558 :rule cong :premises (@p1112 @p191) :args (@t241)) % 202.93/203.25 (step @p559 :rule trans :premises (@p558 @p557)) % 202.93/203.25 (step @p560 :rule false_elim :premises (@p559)) % 202.93/203.25 (step-pop @p1115 :rule scope :premises (@p560)) % 202.93/203.25 (step-pop @p1116 :rule scope :premises (@p1115)) % 202.93/203.25 (step @p561 :rule process_scope :premises (@p1116) :args (@t262)) % 202.93/203.25 (step @p564 :rule and_intro :premises (@p1112 @p188)) % 202.93/203.25 (step @p565 :rule modus_ponens :premises (@p564 @p561)) % 202.93/203.25 (step-pop @p1117 :rule scope :premises (@p565)) % 202.93/203.25 (step-pop @p1118 :rule scope :premises (@p1117)) % 202.93/203.25 (step @p566 :rule process_scope :premises (@p1118) :args (@t262)) % 202.93/203.25 (step @p569 :rule implies_elim :premises (@p566)) % 202.93/203.25 (step @p570 :rule cnf_and_neg :args (@t264)) % 202.93/203.25 (step @p571 :rule resolution :premises (@p570 @p569) :args (true @t264)) % 202.93/203.25 (step @p572 :rule eq_resolve :premises (@p571 @p552)) % 202.93/203.25 (step @p573 :rule reordering :premises (@p572) :args ((or @t111 @t262 @t263))) % 202.93/203.25 (step @p574 :rule chain_m_resolution :premises (@p573 @p188 @p548 @p546 @p544 @p542 @p447) :args ((or @t217 @t214 @t229) (@list true false false false false false) (@list @t111 @t241 @t226 @t242 @t243 @t227))) % 202.93/203.25 (step @p575 :rule cnf_or_neg :args (@t228 0)) % 202.93/203.25 (step @p576 :rule cnf_and_neg :args (@t227)) % 202.93/203.25 (step @p577 :rule reordering :premises (@p576) :args ((or @t43 @t227 @t263))) % 202.93/203.25 (step @p578 :rule aci_norm :args ((= (or @t265 @t228) @t266))) % 202.93/203.25 (step @p579 :rule cong :premises (@p508) :args (@t267)) % 202.93/203.25 (step @p580 :rule nary_cong :premises (@p579 @p530) :args (@t268)) % 202.93/203.25 (step @p581 :rule trans :premises (@p580 @p578)) % 202.93/203.25 (step @p582 :rule refl :args (@t184)) % 202.93/203.25 (step @p583 :rule cong :premises (@p582 @p581) :args ((=> @t184 @t268))) % 202.93/203.25 (assume-push @p1119 @t184) % 202.93/203.25 (step @p585 :rule instantiate :premises (@p398) :args ((@list @t50 @t94))) % 202.93/203.25 (step-pop @p1120 :rule scope :premises (@p585)) % 202.93/203.25 (step @p586 :rule process_scope :premises (@p1120) :args (@t268)) % 202.93/203.25 (step @p588 :rule eq_resolve :premises (@p586 @p583)) % 202.93/203.25 (step @p589 :rule implies_elim :premises (@p588)) % 202.93/203.25 (step @p590 :rule chain_m_resolution :premises (@p589 @p398) :args (@t266 @t63 (@list @t184))) % 202.93/203.25 (step @p591 :rule cnf_or_pos :args (@t266)) % 202.93/203.25 (step @p592 :rule reordering :premises (@p591) :args ((or @t227 @t217 @t265 (not @t266)))) % 202.93/203.25 (step @p593 :rule cnf_or_neg :args (@t244 0)) % 202.93/203.25 (step @p594 :rule cnf_and_neg :args (@t242)) % 202.93/203.25 (step @p595 :rule reordering :premises (@p594) :args ((or @t43 @t242 @t262))) % 202.93/203.25 (step @p596 :rule refl :args (@t269)) % 202.93/203.25 (step @p597 :rule bool-double-not-elim :args (@t241)) % 202.93/203.25 (step @p598 :rule refl :args (@t270)) % 202.93/203.25 (step @p599 :rule nary_cong :premises (@p598 @p597 @p596) :args ((or @t270 @t271 @t269))) % 202.93/203.25 (step @p600 :rule cnf_and_neg :args (@t270)) % 202.93/203.25 (step @p601 :rule eq_resolve :premises (@p600 @p599)) % 202.93/203.25 (step @p602 :rule reordering :premises (@p601) :args ((or @t241 @t270 @t269))) % 202.93/203.25 (step @p603 :rule eq-symm :args (@t270 @t272)) % 202.93/203.25 (step @p604 :rule refl :args (@t272)) % 202.93/203.25 (step @p605 :rule eq-refl :args (@t274)) % 202.93/203.25 (step @p606 :rule refl :args (@t273)) % 202.93/203.25 (step @p607 :rule aci_norm :args ((= (and @t41 true) @t41))) % 202.93/203.25 (step @p608 :rule eq-refl :args (@t45)) % 202.93/203.25 (step @p609 :rule nary_cong :premises (@p136 @p608) :args (@t275)) % 202.93/203.25 (step @p610 :rule trans :premises (@p609 @p607)) % 202.93/203.25 (step @p611 :rule nary_cong :premises (@p610 @p606) :args (@t276)) % 202.93/203.25 (step @p612 :rule beta-reduce :args ((= @t277 @t276))) % 202.93/203.25 (step @p613 :rule trans :premises (@p612 @p611)) % 202.93/203.25 (step @p614 :rule refl :args (@t274)) % 202.93/203.25 (step @p615 :rule cong :premises (@p614 @p613) :args ((= @t274 @t277))) % 202.93/203.25 (step @p616 :rule trans :premises (@p615 @p605)) % 202.93/203.25 (step @p617 :rule eq-symm :args (@t277 @t274)) % 202.93/203.25 (step @p618 :rule trans :premises (@p617 @p616)) % 202.93/203.25 (step @p619 :rule nary_cong :premises (@p48 @p417) :args (@t220)) % 202.93/203.25 (step @p620 :rule nary_cong :premises (@p47 @p619) :args (@t221)) % 202.93/203.25 (step @p621 :rule ho_cong :premises (@p55 @p147)) % 202.93/203.25 (step @p622 :rule cong :premises (@p621 @p620) :args ((= @t278 @t221))) % 202.93/203.25 (step @p623 :rule trans :premises (@p622 @p618)) % 202.93/203.25 (step @p624 :rule true_elim :premises (@p623)) % 202.93/203.25 (step @p625 :rule nary_cong :premises (@p549 @p624) :args (@t279)) % 202.93/203.25 (step @p626 :rule cong :premises (@p625 @p604) :args (@t280)) % 202.93/203.25 (step @p627 :rule trans :premises (@p626 @p603)) % 202.93/203.25 (step @p628 :rule cong :premises (@p287 @p627) :args ((=> @t154 @t280))) % 202.93/203.25 (assume-push @p1121 @t154) % 202.93/203.25 (step @p630 :rule instantiate :premises (@p303) :args ((@list @t45))) % 202.93/203.25 (step-pop @p1122 :rule scope :premises (@p630)) % 202.93/203.25 (step @p631 :rule process_scope :premises (@p1122) :args (@t280)) % 202.93/203.25 (step @p633 :rule eq_resolve :premises (@p631 @p628)) % 202.93/203.25 (step @p634 :rule implies_elim :premises (@p633)) % 202.93/203.25 (step @p635 :rule chain_m_resolution :premises (@p634 @p303) :args (@t281 @t63 @t178)) % 202.93/203.25 (step @p636 :rule cnf_equiv_pos2 :args (@t281)) % 202.93/203.25 (step @p637 :rule reordering :premises (@p636) :args ((or @t272 (not @t270) (not @t281)))) % 202.93/203.25 (step @p638 :rule instantiate :premises (@p398) :args ((@list @t152 @t45))) % 202.93/203.25 (step @p639 :rule cnf_or_pos :args (@t283)) % 202.93/203.25 (step @p640 :rule reordering :premises (@p639) :args ((or @t171 @t282 (not @t283)))) % 202.93/203.25 (step @p641 :rule refl :args (@t167)) % 202.93/203.25 (step @p642 :rule refl :args ((_ @t152 @t284))) % 202.93/203.25 (step @p643 :rule refl :args (@t157)) % 202.93/203.25 (step @p644 :rule cong :premises (@p643) :args (@t171)) % 202.93/203.25 (step @p645 :rule trans :premises (@p644 @p642)) % 202.93/203.25 (step @p646 :rule refl :args (@t152)) % 202.93/203.25 (step @p647 :rule ho_cong :premises (@p646 @p643)) % 202.93/203.25 (step @p648 :rule cong :premises (@p647 @p645) :args ((= @t285 @t171))) % 202.93/203.25 (step @p649 :rule symm :premises (@p648)) % 202.93/203.25 (step @p650 :rule refl :args ((_ @t152 @t284))) % 202.93/203.25 (step @p651 :rule eq_resolve :premises (@p650 @p649)) % 202.93/203.25 (step @p652 :rule cong :premises (@p651 @p641) :args (@t286)) % 202.93/203.25 (step @p653 :rule refl :args (@t287)) % 202.93/203.25 (step @p654 :rule cong :premises (@p653 @p652) :args ((=> @t287 @t286))) % 202.93/203.25 (step @p655 :rule refl :args (@t286)) % 202.93/203.25 (step @p656 :rule eq-symm :args (@t152 @t50)) % 202.93/203.25 (step @p657 :rule cong :premises (@p656 @p655) :args (@t288)) % 202.93/203.25 (step @p658 :rule trans :premises (@p657 @p654)) % 202.93/203.25 ; trust TRUST THEORY_LEMMA % 202.93/203.25 (step @p659 :rule trust :premises () :args (@t288)) % 202.93/203.25 (step @p660 :rule eq_resolve :premises (@p659 @p658)) % 202.93/203.25 (step @p661 :rule implies_elim :premises (@p660)) % 202.93/203.25 (step @p662 :rule cnf_equiv_pos1 :args (@t289)) % 202.93/203.25 (step @p663 :rule reordering :premises (@p662) :args ((or @t290 @t167 (not @t289)))) % 202.93/203.25 (step @p664 :rule cnf_or_pos :args (@t167)) % 202.93/203.25 (step @p665 :rule reordering :premises (@p664) :args ((or @t166 @t165 (not @t167)))) % 202.93/203.25 (step @p666 :rule cnf_and_pos :args (@t166 1)) % 202.93/203.25 (step @p667 :rule reordering :premises (@p666) :args ((or @t159 @t291))) % 202.93/203.25 (step @p668 :rule refl :args (@t292)) % 202.93/203.25 (step @p669 :rule refl :args (@t293)) % 202.93/203.25 (step @p670 :rule bool-double-not-elim :args (@t226)) % 202.93/203.25 (step @p671 :rule nary_cong :premises (@p670 @p669 @p668) :args ((or (not @t263) @t293 @t292))) % 202.93/203.25 (assume-push @p1123 @t263) % 202.93/203.25 (assume-push @p1124 @t287) % 202.93/203.25 (assume-push @p1125 @t263) % 202.93/203.25 (assume-push @p1126 @t287) % 202.93/203.25 (step @p676 :rule false_intro :premises (@p1123)) % 202.93/203.25 (step @p677 :rule symm :premises (@p1124)) % 202.93/203.25 (step @p678 :rule cong :premises (@p677) :args (@t157)) % 202.93/203.25 (step @p679 :rule cong :premises (@p147 @p678) :args (@t159)) % 202.93/203.25 (step @p680 :rule trans :premises (@p679 @p676)) % 202.93/203.25 (step @p681 :rule false_elim :premises (@p680)) % 202.93/203.25 (step-pop @p1127 :rule scope :premises (@p681)) % 202.93/203.25 (step-pop @p1128 :rule scope :premises (@p1127)) % 202.93/203.25 (step @p682 :rule process_scope :premises (@p1128) :args (@t292)) % 202.93/203.25 (step @p685 :rule and_intro :premises (@p1123 @p1124)) % 202.93/203.25 (step @p686 :rule modus_ponens :premises (@p685 @p682)) % 202.93/203.25 (step-pop @p1129 :rule scope :premises (@p686)) % 202.93/203.25 (step-pop @p1130 :rule scope :premises (@p1129)) % 202.93/203.25 (step @p687 :rule process_scope :premises (@p1130) :args (@t292)) % 202.93/203.25 (step @p690 :rule implies_elim :premises (@p687)) % 202.93/203.25 (step @p691 :rule cnf_and_neg :args (@t294)) % 202.93/203.25 (step @p692 :rule resolution :premises (@p691 @p690) :args (true @t294)) % 202.93/203.25 (step @p693 :rule eq_resolve :premises (@p692 @p671)) % 202.93/203.25 (step @p694 :rule chain_m_resolution :premises (@p693 @p667 @p665 @p663 @p661) :args ((or @t226 @t293 @t290 @t165) (@list false false false false) (@list @t159 @t166 @t167 @t289))) % 202.93/203.25 (step @p695 :rule eq-symm :args (@t297 @t298)) % 202.93/203.25 (step @p696 :rule refl :args (@t298)) % 202.93/203.25 (step @p697 :rule eq-refl :args (@t299)) % 202.93/203.25 (step @p698 :rule eq-symm :args (@t222 @t39)) % 202.93/203.25 (step @p699 :rule nary_cong :premises (@p133 @p698) :args (@t300)) % 202.93/203.25 (step @p700 :rule eq-symm :args (@t222 @t45)) % 202.93/203.25 (step @p701 :rule nary_cong :premises (@p136 @p700) :args (@t301)) % 202.93/203.25 (step @p702 :rule nary_cong :premises (@p701 @p699) :args (@t302)) % 202.93/203.25 (step @p703 :rule beta-reduce :args ((= @t303 @t302))) % 202.93/203.25 (step @p704 :rule trans :premises (@p703 @p702)) % 202.93/203.25 (step @p705 :rule refl :args (@t299)) % 202.93/203.25 (step @p706 :rule cong :premises (@p705 @p704) :args ((= @t299 @t303))) % 202.93/203.25 (step @p707 :rule trans :premises (@p706 @p697)) % 202.93/203.25 (step @p708 :rule eq-symm :args (@t303 @t299)) % 202.93/203.25 (step @p709 :rule trans :premises (@p708 @p707)) % 202.93/203.25 (step @p710 :rule refl :args (@t223)) % 202.93/203.25 (step @p711 :rule nary_cong :premises (@p48 @p710) :args (@t224)) % 202.93/203.25 (step @p712 :rule refl :args (@t295)) % 202.93/203.25 (step @p713 :rule nary_cong :premises (@p47 @p712) :args (@t296)) % 202.93/203.25 (step @p714 :rule nary_cong :premises (@p713 @p711) :args (@t297)) % 202.93/203.25 (step @p715 :rule refl :args (@t222)) % 202.93/203.25 (step @p716 :rule ho_cong :premises (@p55 @p715)) % 202.93/203.25 (step @p717 :rule cong :premises (@p716 @p714) :args ((= @t304 @t297))) % 202.93/203.25 (step @p718 :rule trans :premises (@p717 @p709)) % 202.93/203.25 (step @p719 :rule true_elim :premises (@p718)) % 202.93/203.25 (step @p720 :rule cong :premises (@p719 @p696) :args (@t305)) % 202.93/203.25 (step @p721 :rule trans :premises (@p720 @p695)) % 202.93/203.25 (step @p722 :rule cong :premises (@p721) :args (@t306)) % 202.93/203.25 (step @p723 :rule nary_cong :premises (@p653 @p722) :args (@t307)) % 202.93/203.25 ; trust TRUST THEORY_LEMMA % 202.93/203.25 (step @p724 :rule trust :premises () :args (@t307)) % 202.93/203.25 (step @p725 :rule eq_resolve :premises (@p724 @p723)) % 202.93/203.25 (step @p726 :rule cnf_equiv_neg2 :args (@t308)) % 202.93/203.25 (step @p727 :rule refl :args (@t310)) % 202.93/203.25 (step @p728 :rule nary_cong :premises (@p727 @p719) :args (@t311)) % 202.93/203.25 (step @p729 :rule cong :premises (@p696 @p728) :args (@t312)) % 202.93/203.25 (step @p730 :rule cong :premises (@p287 @p729) :args ((=> @t154 @t312))) % 202.93/203.25 (step @p731 :rule refl :args (@t304)) % 202.93/203.25 (step @p732 :rule eq-symm :args (@t222 @t94)) % 202.93/203.25 (step @p733 :rule cong :premises (@p732) :args (@t313)) % 202.93/203.25 (step @p734 :rule nary_cong :premises (@p733 @p731) :args (@t314)) % 202.93/203.25 (step @p735 :rule cong :premises (@p696 @p734) :args ((= @t298 @t314))) % 202.93/203.25 (step @p736 :rule eq-symm :args (@t314 @t298)) % 202.93/203.25 (step @p737 :rule trans :premises (@p736 @p735)) % 202.93/203.25 (step @p738 :rule cong :premises (@p287 @p737) :args ((=> @t154 @t315))) % 202.93/203.25 (assume-push @p1131 @t154) % 202.93/203.25 (step @p740 :rule instantiate :premises (@p303) :args ((@list @t222))) % 202.93/203.25 (step-pop @p1132 :rule scope :premises (@p740)) % 202.93/203.25 (step @p741 :rule process_scope :premises (@p1132) :args (@t315)) % 202.93/203.25 (step @p743 :rule eq_resolve :premises (@p741 @p738)) % 202.93/203.25 (step @p744 :rule eq_resolve :premises (@p743 @p730)) % 202.93/203.25 (step @p745 :rule implies_elim :premises (@p744)) % 202.93/203.25 (step @p746 :rule chain_m_resolution :premises (@p745 @p303) :args (@t317 @t63 @t178)) % 202.93/203.25 (step @p747 :rule cnf_equiv_pos1 :args (@t317)) % 202.93/203.25 (step @p748 :rule reordering :premises (@p747) :args ((or @t319 @t316 @t318))) % 202.93/203.25 (step @p749 :rule cnf_and_pos :args (@t316 1)) % 202.93/203.25 (step @p750 :rule reordering :premises (@p749) :args ((or @t297 @t320))) % 202.93/203.25 (step @p751 :rule chain_m_resolution :premises (@p750 @p748 @p746 @p726) :args ((or @t308 @t319) (@list false false true) (@list @t316 @t317 @t297))) % 202.93/203.25 (step @p752 :rule cnf_equiv_neg1 :args (@t308)) % 202.93/203.25 (step @p753 :rule reordering :premises (@p752) :args ((or @t298 @t297 @t308))) % 202.93/203.25 (step @p754 :rule cnf_equiv_pos2 :args (@t317)) % 202.93/203.25 (step @p755 :rule reordering :premises (@p754) :args ((or @t298 @t320 @t318))) % 202.93/203.25 (step @p756 :rule cnf_or_pos :args (@t297)) % 202.93/203.25 (step @p757 :rule reordering :premises (@p756) :args ((or @t296 @t224 @t321))) % 202.93/203.25 (step @p758 :rule refl :args (@t321)) % 202.93/203.25 (step @p759 :rule bool-double-not-elim :args (@t309)) % 202.93/203.25 (step @p760 :rule refl :args (@t316)) % 202.93/203.25 (step @p761 :rule nary_cong :premises (@p760 @p759 @p758) :args ((or @t316 (not @t310) @t321))) % 202.93/203.25 (step @p762 :rule cnf_and_neg :args (@t316)) % 202.93/203.25 (step @p763 :rule eq_resolve :premises (@p762 @p761)) % 202.93/203.25 (step @p764 :rule reordering :premises (@p763) :args ((or @t321 @t309 @t316))) % 202.93/203.25 (step @p765 :rule cnf_and_pos :args (@t296 1)) % 202.93/203.25 (step @p766 :rule reordering :premises (@p765) :args ((or @t295 @t322))) % 202.93/203.25 (step @p767 :rule refl :args (@t323)) % 202.93/203.25 (step @p768 :rule nary_cong :premises (@p597 @p727 @p767) :args ((or @t271 @t310 @t323))) % 202.93/203.25 (assume-push @p1133 @t262) % 202.93/203.25 (assume-push @p1134 @t309) % 202.93/203.25 (assume-push @p1135 @t309) % 202.93/203.25 (assume-push @p1136 @t262) % 202.93/203.25 (step @p773 :rule false_intro :premises (@p1133)) % 202.93/203.25 (step @p774 :rule symm :premises (@p1134)) % 202.93/203.25 (step @p775 :rule cong :premises (@p147 @p774) :args (@t295)) % 202.93/203.25 (step @p776 :rule trans :premises (@p775 @p773)) % 202.93/203.25 (step @p777 :rule false_elim :premises (@p776)) % 202.93/203.25 (step-pop @p1137 :rule scope :premises (@p777)) % 202.93/203.25 (step-pop @p1138 :rule scope :premises (@p1137)) % 202.93/203.25 (step @p778 :rule process_scope :premises (@p1138) :args (@t323)) % 202.93/203.25 (step @p781 :rule and_intro :premises (@p1134 @p1133)) % 202.93/203.25 (step @p782 :rule modus_ponens :premises (@p781 @p778)) % 202.93/203.25 (step-pop @p1139 :rule scope :premises (@p782)) % 202.93/203.25 (step-pop @p1140 :rule scope :premises (@p1139)) % 202.93/203.25 (step @p783 :rule process_scope :premises (@p1140) :args (@t323)) % 202.93/203.25 (step @p786 :rule implies_elim :premises (@p783)) % 202.93/203.25 (step @p787 :rule cnf_and_neg :args (@t324)) % 202.93/203.25 (step @p788 :rule resolution :premises (@p787 @p786) :args (true @t324)) % 202.93/203.25 (step @p789 :rule eq_resolve :premises (@p788 @p768)) % 202.93/203.25 (step @p790 :rule reordering :premises (@p789) :args ((or @t241 @t323 @t310))) % 202.93/203.25 (step @p791 :rule chain_m_resolution :premises (@p790 @p766 @p764 @p757 @p755 @p746 @p753 @p751 @p725 @p694 @p640 @p638 @p637 @p635 @p602 @p595 @p593 @p592 @p590 @p577 @p575 @p574 @p445 @p443 @p441 @p439 @p437) :args (@t43 (@list false false false true false false true true true false false false false false true true true false true true true true false true true true) (@list @t295 @t309 @t296 @t316 @t317 @t297 @t298 @t308 @t287 @t171 @t283 @t272 @t281 @t270 @t241 @t242 @t244 @t266 @t226 @t227 @t228 @t224 @t221 @t165 @t217 @t214))) % 202.93/203.25 (step @p792 :rule bool-double-not-elim :args (@t42)) % 202.93/203.25 (step @p793 :rule refl :args (@t200)) % 202.93/203.25 (step @p794 :rule nary_cong :premises (@p793 @p792) :args ((or @t200 @t325))) % 202.93/203.25 (step @p795 :rule cnf_or_neg :args (@t200 1)) % 202.93/203.25 (step @p796 :rule eq_resolve :premises (@p795 @p794)) % 202.93/203.25 (step @p797 :rule reordering :premises (@p796) :args ((or @t42 @t200))) % 202.93/203.25 (step @p798 :rule chain_m_resolution :premises (@p797 @p791) :args (@t200 @t70 @t326)) % 202.93/203.25 (step @p799 :rule refl :args (@t214)) % 202.93/203.25 (step @p800 :rule nary_cong :premises (@p799 @p792 @p424) :args ((or @t214 @t325 @t202))) % 202.93/203.25 (step @p801 :rule cnf_and_neg :args (@t214)) % 202.93/203.25 (step @p802 :rule eq_resolve :premises (@p801 @p800)) % 202.93/203.25 (step @p803 :rule reordering :premises (@p802) :args ((or @t42 @t214 @t202))) % 202.93/203.25 (step @p804 :rule cnf_or_neg :args (@t244 1)) % 202.93/203.25 (step @p805 :rule cnf_and_pos :args (@t227 0)) % 202.93/203.25 (step @p806 :rule reordering :premises (@p805) :args ((or @t42 @t260))) % 202.93/203.25 (step @p807 :rule chain_m_resolution :premises (@p806 @p791) :args (@t260 @t70 @t326)) % 202.93/203.25 (step @p808 :rule cnf_and_pos :args (@t217 1)) % 202.93/203.25 (step @p809 :rule reordering :premises (@p808) :args ((or @t216 @t218))) % 202.93/203.25 (step @p810 :rule cong :premises (@p10 @p191 @p8) :args (@t327)) % 202.93/203.25 (step @p811 :rule cong :premises (@p12 @p810) :args (@t328)) % 202.93/203.25 (step @p812 :rule cong :premises (@p811) :args (@t329)) % 202.93/203.25 (step @p813 :rule cong :premises (@p812) :args (@t330)) % 202.93/203.25 (step @p814 :rule cong :premises (@p813) :args (@t331)) % 202.93/203.25 (step @p815 :rule cong :premises (@p814) :args (@t332)) % 202.93/203.25 (step @p816 :rule cong :premises (@p18 @p815) :args ((=> @t37 @t332))) % 202.93/203.25 (assume-push @p1141 @t37) % 202.93/203.25 (step @p818 :rule instantiate :premises (@p7) :args ((@list tptp.eps2 @t94 @t50))) % 202.93/203.25 (step-pop @p1142 :rule scope :premises (@p818)) % 202.93/203.25 (step @p819 :rule process_scope :premises (@p1142) :args (@t332)) % 202.93/203.25 (step @p821 :rule eq_resolve :premises (@p819 @p816)) % 202.93/203.25 (step @p822 :rule implies_elim :premises (@p821)) % 202.93/203.25 (step @p823 :rule chain_m_resolution :premises (@p822 @p7) :args (@t335 @t63 @t64)) % 202.93/203.25 (step @p824 :rule refl :args (@t338)) % 202.93/203.25 (step @p825 :rule bool-double-not-elim :args (@t334)) % 202.93/203.25 (step @p826 :rule nary_cong :premises (@p825 @p824) :args ((or (not @t335) @t338))) % 202.93/203.25 (step @p827 :rule eq-symm :args (@t337 @t333)) % 202.93/203.25 (step @p828 :rule cong :premises (@p827) :args (@t339)) % 202.93/203.25 (step @p829 :rule bool-double-not-elim :args (@t339)) % 202.93/203.25 (step @p830 :rule trans :premises (@p829 @p828)) % 202.93/203.25 (step @p831 :rule refl :args (@t335)) % 202.93/203.25 (step @p832 :rule cong :premises (@p831 @p830) :args ((=> @t335 @t340))) % 202.93/203.25 (assume-push @p1143 @t335) % 202.93/203.25 (step @p834 :rule skolemize :premises (@p823)) % 202.93/203.25 (step-pop @p1144 :rule scope :premises (@p834)) % 202.93/203.25 (step @p835 :rule process_scope :premises (@p1144) :args (@t340)) % 202.93/203.25 (step @p837 :rule eq_resolve :premises (@p835 @p832)) % 202.93/203.25 (step @p838 :rule implies_elim :premises (@p837)) % 202.93/203.25 (step @p839 :rule eq_resolve :premises (@p838 @p826)) % 202.93/203.25 (step @p840 :rule chain_m_resolution :premises (@p839 @p823) :args (@t338 @t70 (@list @t334))) % 202.93/203.25 (step @p841 :rule refl :args (@t341)) % 202.93/203.25 (step @p842 :rule ite-eq-branch :args (@t114 @t94)) % 202.93/203.25 (step @p843 :rule cong :premises (@p842 @p841) :args (@t342)) % 202.93/203.25 (step @p844 :rule cong :premises (@p824 @p843) :args ((=> @t338 @t342))) % 202.93/203.25 (assume-push @p1145 @t338) % 202.93/203.25 (step @p846 :rule instantiate :premises (@p840) :args (@t117)) % 202.93/203.25 (step-pop @p1146 :rule scope :premises (@p846)) % 202.93/203.25 (step @p847 :rule process_scope :premises (@p1146) :args (@t342)) % 202.93/203.25 (step @p849 :rule eq_resolve :premises (@p847 @p844)) % 202.93/203.25 (step @p850 :rule implies_elim :premises (@p849)) % 202.93/203.25 (step @p851 :rule chain_m_resolution :premises (@p850 @p840) :args (@t343 @t63 @t344)) % 202.93/203.25 (step @p852 :rule eq-refl :args ((ite @t76 @t245 @t72))) % 202.93/203.25 (step @p853 :rule cong :premises (@p58 @p499 @p45) :args (@t345)) % 202.93/203.25 (step @p854 :rule skolem_intro :args (@t346)) % 202.93/203.25 (step @p855 :rule trans :premises (@p854 @p853)) % 202.93/203.25 (step @p856 :rule cong :premises (@p853 @p855) :args ((= @t345 @t346))) % 202.93/203.25 (step @p857 :rule trans :premises (@p856 @p852)) % 202.93/203.25 (step @p858 :rule true_elim :premises (@p857)) % 202.93/203.25 (step @p859 :rule refl :args (@t347)) % 202.93/203.25 (step @p860 :rule cong :premises (@p859 @p858) :args (@t348)) % 202.93/203.25 (step @p861 :rule cong :premises (@p824 @p860) :args ((=> @t338 @t348))) % 202.93/203.25 (step @p862 :rule eq-symm :args (@t345 @t347)) % 202.93/203.25 (step @p863 :rule cong :premises (@p69 @p191 @p45) :args (@t349)) % 202.93/203.25 (step @p864 :rule cong :premises (@p863 @p859) :args (@t350)) % 202.93/203.25 (step @p865 :rule trans :premises (@p864 @p862)) % 202.93/203.25 (step @p866 :rule cong :premises (@p824 @p865) :args ((=> @t338 @t350))) % 202.93/203.25 (assume-push @p1147 @t338) % 202.93/203.25 (step @p868 :rule instantiate :premises (@p840) :args (@t85)) % 202.93/203.25 (step-pop @p1148 :rule scope :premises (@p868)) % 202.93/203.25 (step @p869 :rule process_scope :premises (@p1148) :args (@t350)) % 202.93/203.25 (step @p871 :rule eq_resolve :premises (@p869 @p866)) % 202.93/203.25 (step @p872 :rule eq_resolve :premises (@p871 @p861)) % 202.93/203.25 (step @p873 :rule implies_elim :premises (@p872)) % 202.93/203.25 (step @p874 :rule chain_m_resolution :premises (@p873 @p840) :args (@t351 @t63 @t344)) % 202.93/203.25 (step @p875 :rule eq-symm :args (@t346 @t72)) % 202.93/203.25 (step @p876 :rule eq-symm :args (@t346 @t94)) % 202.93/203.25 (step @p877 :rule cong :premises (@p255 @p876 @p875) :args ((ite @t77 (= @t346 @t94) (= @t346 @t72)))) % 202.93/203.25 (step @p878 :rule cong :premises (@p858 @p45) :args (@t352)) % 202.93/203.25 (step @p879 :rule cong :premises (@p858 @p191) :args (@t353)) % 202.93/203.25 (step @p880 :rule cong :premises (@p255 @p879 @p878) :args ((ite @t77 @t353 @t352))) % 202.93/203.25 (step @p881 :rule ite_eq :args (@t345)) % 202.93/203.25 (step @p882 :rule eq_resolve :premises (@p881 @p880)) % 202.93/203.25 (step @p883 :rule eq_resolve :premises (@p882 @p877)) % 202.93/203.25 (step @p884 :rule ite_elim1 :premises (@p883)) % 202.93/203.25 (step @p885 :rule reordering :premises (@p884) :args ((or @t355 @t354))) % 202.93/203.25 (step @p886 :rule chain_m_resolution :premises (@p885 @p264) :args (@t355 @t63 @t356)) % 202.93/203.25 (step @p887 :rule ite_elim1 :premises (@p262)) % 202.93/203.25 (step @p888 :rule chain_m_resolution :premises (@p887 @p264) :args (@t357 @t63 @t356)) % 202.93/203.25 (step @p889 :rule refl :args (@t358)) % 202.93/203.25 (step @p890 :rule refl :args (@t359)) % 202.93/203.25 (step @p891 :rule refl :args (@t360)) % 202.93/203.25 (step @p892 :rule refl :args (@t361)) % 202.93/203.25 (step @p893 :rule refl :args (@t354)) % 202.93/203.25 (step @p894 :rule refl :args (@t362)) % 202.93/203.25 (step @p895 :rule nary_cong :premises (@p424 @p894 @p229 @p893 @p892 @p891 @p228 @p890 @p889) :args ((or @t202 @t362 @t127 @t354 @t361 @t360 @t126 @t359 @t358))) % 202.93/203.25 (assume-push @p1149 @t201) % 202.93/203.25 (assume-push @p1150 @t343) % 202.93/203.25 (assume-push @p1151 @t123) % 202.93/203.25 (assume-push @p1152 @t77) % 202.93/203.25 (assume-push @p1153 @t351) % 202.93/203.25 (assume-push @p1154 @t355) % 202.93/203.25 (assume-push @p1155 @t86) % 202.93/203.25 (assume-push @p1156 @t357) % 202.93/203.25 (assume-push @p1157 @t123) % 202.93/203.25 (assume-push @p1158 @t363) % 202.93/203.25 (assume-push @p1159 @t355) % 202.93/203.25 (assume-push @p1160 @t201) % 202.93/203.25 (assume-push @p1161 @t86) % 202.93/203.25 (assume-push @p1162 @t357) % 202.93/203.25 (step @p910 :rule false_intro :premises (@p1151)) % 202.93/203.25 (step @p236 :rule symm :premises (@p81)) % 202.93/203.25 (step @p911 :rule trans :premises (@p1156 @p236)) % 202.93/203.25 (step @p912 :rule symm :premises (@p1158)) % 202.93/203.25 (step @p913 :rule trans :premises (@p1149 @p1154 @p912)) % 202.93/203.25 (step @p914 :rule cong :premises (@p913 @p911) :args (@t216)) % 202.93/203.25 (step @p915 :rule trans :premises (@p914 @p910)) % 202.93/203.25 (step @p916 :rule false_elim :premises (@p915)) % 202.93/203.25 (step-pop @p1163 :rule scope :premises (@p916)) % 202.93/203.25 (step-pop @p1164 :rule scope :premises (@p1163)) % 202.93/203.25 (step-pop @p1165 :rule scope :premises (@p1164)) % 202.93/203.25 (step-pop @p1166 :rule scope :premises (@p1165)) % 202.93/203.25 (step-pop @p1167 :rule scope :premises (@p1166)) % 202.93/203.25 (step-pop @p1168 :rule scope :premises (@p1167)) % 202.93/203.25 (step @p917 :rule process_scope :premises (@p1168) :args (@t358)) % 202.93/203.25 (assume-push @p1169 @t351) % 202.93/203.25 (assume-push @p1170 @t77) % 202.93/203.25 (assume-push @p1171 @t343) % 202.93/203.25 (step @p927 :rule cong :premises (@p1152) :args (@t341)) % 202.93/203.25 (step @p928 :rule symm :premises (@p1152)) % 202.93/203.25 (step @p929 :rule cong :premises (@p928) :args (@t72)) % 202.93/203.25 (step @p930 :rule trans :premises (@p929 @p851 @p927 @p874)) % 202.93/203.25 (step-pop @p1172 :rule scope :premises (@p930)) % 202.93/203.25 (step-pop @p1173 :rule scope :premises (@p1172)) % 202.93/203.25 (step-pop @p1174 :rule scope :premises (@p1173)) % 202.93/203.25 (step @p931 :rule process_scope :premises (@p1174) :args (@t363)) % 202.93/203.25 (step @p935 :rule and_intro :premises (@p874 @p1152 @p851)) % 202.93/203.25 (step @p936 :rule modus_ponens :premises (@p935 @p931)) % 202.93/203.25 (step @p937 :rule and_intro :premises (@p1151 @p936 @p1154 @p1149 @p81 @p1156)) % 202.93/203.25 (step @p938 :rule modus_ponens :premises (@p937 @p917)) % 202.93/203.25 (step-pop @p1175 :rule scope :premises (@p938)) % 202.93/203.25 (step-pop @p1176 :rule scope :premises (@p1175)) % 202.93/203.25 (step-pop @p1177 :rule scope :premises (@p1176)) % 202.93/203.25 (step-pop @p1178 :rule scope :premises (@p1177)) % 202.93/203.25 (step-pop @p1179 :rule scope :premises (@p1178)) % 202.93/203.25 (step-pop @p1180 :rule scope :premises (@p1179)) % 202.93/203.25 (step-pop @p1181 :rule scope :premises (@p1180)) % 202.93/203.25 (step-pop @p1182 :rule scope :premises (@p1181)) % 202.93/203.25 (step @p939 :rule process_scope :premises (@p1182) :args (@t358)) % 202.93/203.25 (step @p948 :rule implies_elim :premises (@p939)) % 202.93/203.25 (step @p949 :rule cnf_and_neg :args (@t364)) % 202.93/203.25 (step @p950 :rule resolution :premises (@p949 @p948) :args (true @t364)) % 202.93/203.25 (step @p951 :rule eq_resolve :premises (@p950 @p895)) % 202.93/203.25 (step @p952 :rule reordering :premises (@p951) :args ((or @t202 @t358 @t362 @t122 @t361 @t354 @t360 @t126 @t359))) % 202.93/203.25 (step @p953 :rule chain_m_resolution :premises (@p952 @p888 @p886 @p264 @p226 @p81 @p874 @p851 @p809 @p592 @p807 @p590 @p804 @p803 @p791) :args (@t202 (@list false false false true false false false false false true false false false true) (@list @t357 @t355 @t77 @t122 @t86 @t351 @t343 @t216 @t217 @t227 @t266 @t244 @t214 @t42))) % 202.93/203.25 (step @p954 :rule refl :args (@t365)) % 202.93/203.25 (step @p955 :rule bool-double-not-elim :args (@t201)) % 202.93/203.25 (step @p956 :rule refl :args (@t203)) % 202.93/203.25 (step @p957 :rule nary_cong :premises (@p956 @p955 @p954) :args ((or @t203 @t366 @t365))) % 202.93/203.25 (step @p958 :rule cnf_and_neg :args (@t203)) % 202.93/203.25 (step @p959 :rule eq_resolve :premises (@p958 @p957)) % 202.93/203.25 (step @p960 :rule reordering :premises (@p959) :args ((or @t201 @t203 @t365))) % 202.93/203.25 (step @p961 :rule chain_m_resolution :premises (@p960 @p953 @p798) :args (@t203 @t129 (@list @t201 @t200))) % 202.93/203.25 (step @p962 :rule cnf_equiv_pos2 :args (@t213)) % 202.93/203.25 (step @p963 :rule reordering :premises (@p962) :args ((or @t204 (not @t203) (not @t213)))) % 202.93/203.25 (step @p964 :rule chain_m_resolution :premises (@p963 @p961 @p435) :args (@t204 @t367 (@list @t203 @t213))) % 202.93/203.25 (step @p965 :rule cnf_or_pos :args (@t369)) % 202.93/203.25 (step @p966 :rule reordering :premises (@p965) :args ((or @t171 @t368 (not @t369)))) % 202.93/203.25 (step @p967 :rule chain_m_resolution :premises (@p966 @p964 @p399) :args (@t171 @t367 (@list @t204 @t369))) % 202.93/203.25 (step @p968 :rule cnf_equiv_pos1 :args (@t177)) % 202.93/203.25 (step @p969 :rule reordering :premises (@p968) :args ((or @t290 @t176 (not @t177)))) % 202.93/203.25 (step @p970 :rule chain_m_resolution :premises (@p969 @p967 @p348) :args (@t176 @t367 (@list @t171 @t177))) % 202.93/203.25 (step @p971 :rule cnf_and_pos :args (@t176 1)) % 202.93/203.25 (step @p972 :rule reordering :premises (@p971) :args ((or @t167 (not @t176)))) % 202.93/203.25 (step @p973 :rule chain_m_resolution :premises (@p972 @p970) :args (@t167 @t63 (@list @t176))) % 202.93/203.25 (step @p974 :rule cnf_and_pos :args (@t166 0)) % 202.93/203.25 (step @p975 :rule reordering :premises (@p974) :args ((or @t42 @t291))) % 202.93/203.25 (step @p976 :rule chain_m_resolution :premises (@p975 @p791) :args (@t291 @t70 @t326)) % 202.93/203.25 (step @p977 :rule chain_m_resolution :premises (@p665 @p976 @p973) :args (@t165 @t129 (@list @t166 @t167))) % 202.93/203.25 (step @p978 :rule cnf_and_pos :args (@t165 1)) % 202.93/203.25 (step @p979 :rule reordering :premises (@p978) :args ((or @t158 @t219))) % 202.93/203.25 (step @p980 :rule chain_m_resolution :premises (@p979 @p977) :args (@t158 @t63 (@list @t165))) % 202.93/203.25 (step @p981 :rule cnf_and_pos :args (@t214 1)) % 202.93/203.25 (step @p982 :rule reordering :premises (@p981) :args ((or @t201 @t215))) % 202.93/203.25 (step @p983 :rule chain_m_resolution :premises (@p982 @p953) :args (@t215 @t70 (@list @t201))) % 202.93/203.25 (step @p984 :rule cnf_and_pos :args (@t242 0)) % 202.93/203.25 (step @p985 :rule reordering :premises (@p984) :args ((or @t42 @t261))) % 202.93/203.25 (step @p986 :rule chain_m_resolution :premises (@p985 @p791) :args (@t261 @t70 @t326)) % 202.93/203.25 (step @p987 :rule chain_m_resolution :premises (@p544 @p986 @p983 @p542) :args (@t229 (@list true true false) (@list @t242 @t214 @t243))) % 202.93/203.25 (step @p988 :rule cnf_or_neg :args (@t228 1)) % 202.93/203.25 (step @p989 :rule chain_m_resolution :premises (@p988 @p987) :args (@t218 @t70 (@list @t228))) % 202.93/203.25 (step @p990 :rule refl :args (@t217)) % 202.93/203.25 (step @p991 :rule nary_cong :premises (@p990 @p792 @p889) :args ((or @t217 @t325 @t358))) % 202.93/203.25 (step @p992 :rule cnf_and_neg :args (@t217)) % 202.93/203.25 (step @p993 :rule eq_resolve :premises (@p992 @p991)) % 202.93/203.25 (step @p994 :rule reordering :premises (@p993) :args ((or @t42 @t217 @t358))) % 202.93/203.25 (step @p995 :rule chain_m_resolution :premises (@p994 @p791 @p989) :args (@t358 (@list true true) (@list @t42 @t217))) % 202.93/203.25 (step @p996 :rule refl :args (@t372)) % 202.93/203.25 (step @p997 :rule bool-double-not-elim :args (@t216)) % 202.93/203.25 (step @p998 :rule nary_cong :premises (@p997 @p893 @p996) :args ((or (not @t358) @t354 @t372))) % 202.93/203.25 (assume-push @p1183 @t358) % 202.93/203.25 (assume-push @p1184 @t77) % 202.93/203.25 (assume-push @p1185 @t358) % 202.93/203.25 (assume-push @p1186 @t77) % 202.93/203.25 (step @p1003 :rule false_intro :premises (@p1183)) % 202.93/203.25 (step @p1004 :rule symm :premises (@p1184)) % 202.93/203.25 (step @p1005 :rule cong :premises (@p1004) :args (@t370)) % 202.93/203.25 (step @p1006 :rule cong :premises (@p146 @p1005) :args (@t371)) % 202.93/203.25 (step @p1007 :rule trans :premises (@p1006 @p1003)) % 202.93/203.25 (step @p1008 :rule false_elim :premises (@p1007)) % 202.93/203.25 (step-pop @p1187 :rule scope :premises (@p1008)) % 202.93/203.25 (step-pop @p1188 :rule scope :premises (@p1187)) % 202.93/203.25 (step @p1009 :rule process_scope :premises (@p1188) :args (@t372)) % 202.93/203.25 (step @p1012 :rule and_intro :premises (@p1183 @p1184)) % 202.93/203.25 (step @p1013 :rule modus_ponens :premises (@p1012 @p1009)) % 202.93/203.25 (step-pop @p1189 :rule scope :premises (@p1013)) % 202.93/203.25 (step-pop @p1190 :rule scope :premises (@p1189)) % 202.93/203.25 (step @p1014 :rule process_scope :premises (@p1190) :args (@t372)) % 202.93/203.25 (step @p1017 :rule implies_elim :premises (@p1014)) % 202.93/203.25 (step @p1018 :rule cnf_and_neg :args (@t373)) % 202.93/203.25 (step @p1019 :rule resolution :premises (@p1018 @p1017) :args (true @t373)) % 202.93/203.25 (step @p1020 :rule eq_resolve :premises (@p1019 @p998)) % 202.93/203.25 (step @p1021 :rule chain_m_resolution :premises (@p1020 @p995 @p264) :args (@t372 @t129 (@list @t216 @t77))) % 202.93/203.25 (step @p1022 :rule cnf_and_pos :args (@t296 0)) % 202.93/203.25 (step @p1023 :rule reordering :premises (@p1022) :args ((or @t42 @t322))) % 202.93/203.25 (step @p1024 :rule chain_m_resolution :premises (@p1023 @p791) :args (@t322 @t70 @t326)) % 202.93/203.25 (step @p1025 :rule cnf_and_pos :args (@t224 1)) % 202.93/203.25 (step @p1026 :rule reordering :premises (@p1025) :args ((or @t223 @t225))) % 202.93/203.25 (step @p1027 :rule refl :args (@t374)) % 202.93/203.25 (step @p1028 :rule nary_cong :premises (@p955 @p727 @p1027) :args ((or @t366 @t310 @t374))) % 202.93/203.25 (assume-push @p1191 @t202) % 202.93/203.25 (assume-push @p1192 @t309) % 202.93/203.25 (assume-push @p1193 @t202) % 202.93/203.25 (assume-push @p1194 @t309) % 202.93/203.25 (step @p1033 :rule false_intro :premises (@p1191)) % 202.93/203.25 (step @p1034 :rule symm :premises (@p1192)) % 202.93/203.25 (step @p1035 :rule cong :premises (@p146 @p1034) :args (@t223)) % 202.93/203.25 (step @p1036 :rule trans :premises (@p1035 @p1033)) % 202.93/203.25 (step @p1037 :rule false_elim :premises (@p1036)) % 202.93/203.25 (step-pop @p1195 :rule scope :premises (@p1037)) % 202.93/203.25 (step-pop @p1196 :rule scope :premises (@p1195)) % 202.93/203.25 (step @p1038 :rule process_scope :premises (@p1196) :args (@t374)) % 202.93/203.25 (step @p1041 :rule and_intro :premises (@p1191 @p1192)) % 202.93/203.25 (step @p1042 :rule modus_ponens :premises (@p1041 @p1038)) % 202.93/203.25 (step-pop @p1197 :rule scope :premises (@p1042)) % 202.93/203.25 (step-pop @p1198 :rule scope :premises (@p1197)) % 202.93/203.25 (step @p1043 :rule process_scope :premises (@p1198) :args (@t374)) % 202.93/203.25 (step @p1046 :rule implies_elim :premises (@p1043)) % 202.93/203.25 (step @p1047 :rule cnf_and_neg :args (@t375)) % 202.93/203.25 (step @p1048 :rule resolution :premises (@p1047 @p1046) :args (true @t375)) % 202.93/203.25 (step @p1049 :rule eq_resolve :premises (@p1048 @p1028)) % 202.93/203.25 (step @p1050 :rule reordering :premises (@p1049) :args ((or @t201 @t374 @t310))) % 202.93/203.25 (step @p1051 :rule chain_m_resolution :premises (@p1050 @p953 @p1026 @p764 @p757 @p1024 @p755 @p746 @p753 @p751) :args (@t308 (@list true false false false true true false false true) (@list @t201 @t223 @t309 @t224 @t296 @t316 @t317 @t297 @t298))) % 202.93/203.25 (step @p1052 :rule chain_m_resolution :premises (@p725 @p1051) :args (@t287 @t63 (@list @t308))) % 202.93/203.25 (assume-push @p1199 @t287) % 202.93/203.25 (assume-push @p1200 @t158) % 202.93/203.25 (assume-push @p1201 @t77) % 202.93/203.25 (assume-push @p1202 @t77) % 202.93/203.25 (assume-push @p1203 @t287) % 202.93/203.25 (assume-push @p1204 @t158) % 202.93/203.25 (step @p1059 :rule cong :premises (@p1201) :args (@t51)) % 202.93/203.25 (step @p1060 :rule symm :premises (@p1199)) % 202.93/203.25 (step @p1061 :rule cong :premises (@p1060) :args (@t157)) % 202.93/203.25 (step @p1062 :rule trans :premises (@p1200 @p1061 @p1059)) % 202.93/203.25 (step-pop @p1205 :rule scope :premises (@p1062)) % 202.93/203.25 (step-pop @p1206 :rule scope :premises (@p1205)) % 202.93/203.25 (step-pop @p1207 :rule scope :premises (@p1206)) % 202.93/203.25 (step @p1063 :rule process_scope :premises (@p1207) :args (@t371)) % 202.93/203.25 (step @p1067 :rule and_intro :premises (@p1201 @p1199 @p1200)) % 202.93/203.25 (step @p1068 :rule modus_ponens :premises (@p1067 @p1063)) % 202.93/203.25 (step-pop @p1208 :rule scope :premises (@p1068)) % 202.93/203.25 (step-pop @p1209 :rule scope :premises (@p1208)) % 202.93/203.25 (step-pop @p1210 :rule scope :premises (@p1209)) % 202.93/203.25 (step @p1069 :rule process_scope :premises (@p1210) :args (@t371)) % 202.93/203.25 (step @p1073 :rule implies_elim :premises (@p1069)) % 202.93/203.25 (step @p1074 :rule cnf_and_neg :args (@t376)) % 202.93/203.25 (step @p1075 :rule resolution :premises (@p1074 @p1073) :args (true @t376)) % 202.93/203.25 (step @p1076 false :rule chain_m_resolution :premises (@p1075 @p1052 @p1021 @p980 @p264) :args (false (@list false true false false) (@list @t287 @t371 @t158 @t77))) % 202.93/203.25 ) % 202.93/203.25 % SZS output end Proof % 202.93/203.25 % cvc5 exiting %------------------------------------------------------------------------------