%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : COM003_1 : TPTP v9.2.1. Released v5.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n016.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 08:10:22 AM UTC 2026 % Result : Theorem 0.38s 0.62s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : COM003_1 : TPTP v9.2.1. Released v5.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n016.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Mon Jun 1 20:28:09 EDT 2026 % 0.17/0.34 % CPUTime : % 0.29/0.48 %----Proving TF0_NAR, FOF, or CNF % 0.38/0.62 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.62 % SZS status Theorem % 0.38/0.62 % SZS output start Proof % 0.38/0.62 ( % 0.38/0.62 (declare-sort tptp.output 0) % 0.38/0.62 (declare-sort tptp.algorithm 0) % 0.38/0.62 (declare-sort tptp.program 0) % 0.38/0.62 (declare-sort tptp.input 0) % 0.38/0.62 (declare-const tptp.good tptp.output) % 0.38/0.62 (declare-const tptp.halts2 (-> tptp.program tptp.input Bool)) % 0.38/0.62 (declare-const tptp.halts3 (-> tptp.program tptp.program tptp.input Bool)) % 0.38/0.62 (declare-const tptp.outputs (-> tptp.program tptp.output Bool)) % 0.38/0.62 (declare-const tptp.as_input (-> tptp.program tptp.input)) % 0.38/0.62 (declare-const tptp.bad tptp.output) % 0.38/0.62 (declare-const tptp.decides (-> tptp.algorithm tptp.program tptp.input Bool)) % 0.38/0.62 (declare-const tptp.algorithm_of (-> tptp.program tptp.algorithm)) % 0.38/0.62 (define @t1 () (@var "Z" tptp.input)) % 0.38/0.62 (define @t2 () (@var "Y" tptp.program)) % 0.38/0.62 (define @t3 () (@var "W" tptp.program)) % 0.38/0.62 (define @t4 () (tptp.decides (tptp.algorithm_of @t3) @t2 @t1)) % 0.38/0.62 (define @t5 () (@list @t2 @t1)) % 0.38/0.62 (define @t6 () (forall @t5 @t4)) % 0.38/0.62 (define @t7 () (@list @t3)) % 0.38/0.62 (define @t8 () (exists @t7 @t6)) % 0.38/0.62 (define @t9 () (@var "X" tptp.algorithm)) % 0.38/0.62 (define @t10 () (forall @t5 (tptp.decides @t9 @t2 @t1))) % 0.38/0.62 (define @t11 () (@list @t9)) % 0.38/0.62 (define @t12 () (exists @t11 @t10)) % 0.38/0.62 (define @t13 () (=> @t12 @t8)) % 0.38/0.62 (define @t14 () (tptp.outputs @t3 tptp.bad)) % 0.38/0.62 (define @t15 () (tptp.halts3 @t3 @t2 @t1)) % 0.38/0.62 (define @t16 () (and @t15 @t14)) % 0.38/0.62 (define @t17 () (tptp.halts2 @t2 @t1)) % 0.38/0.62 (define @t18 () (not @t17)) % 0.38/0.62 (define @t19 () (tptp.outputs @t3 tptp.good)) % 0.38/0.62 (define @t20 () (and @t15 @t19)) % 0.38/0.62 (define @t21 () (and (=> @t17 @t20) (=> @t18 @t16))) % 0.38/0.62 (define @t22 () (forall @t5 @t21)) % 0.38/0.62 (define @t23 () (=> @t4 @t22)) % 0.38/0.62 (define @t24 () (@list @t3 @t2 @t1)) % 0.38/0.62 (define @t25 () (forall @t24 @t23)) % 0.38/0.62 (define @t26 () (@var "V" tptp.program)) % 0.38/0.62 (define @t27 () (tptp.outputs @t26 tptp.bad)) % 0.38/0.62 (define @t28 () (tptp.as_input @t2)) % 0.38/0.62 (define @t29 () (tptp.halts2 @t26 @t28)) % 0.38/0.62 (define @t30 () (and @t29 @t27)) % 0.38/0.62 (define @t31 () (tptp.halts2 @t2 @t28)) % 0.38/0.62 (define @t32 () (not @t31)) % 0.38/0.62 (define @t33 () (tptp.outputs @t26 tptp.good)) % 0.38/0.62 (define @t34 () (and @t29 @t33)) % 0.38/0.62 (define @t35 () (and (=> @t31 @t34) (=> @t32 @t30))) % 0.38/0.62 (define @t36 () (@list @t2)) % 0.38/0.62 (define @t37 () (forall @t36 @t35)) % 0.38/0.62 (define @t38 () (@list @t26)) % 0.38/0.62 (define @t39 () (exists @t38 @t37)) % 0.38/0.62 (define @t40 () (tptp.halts3 @t3 @t2 @t28)) % 0.38/0.62 (define @t41 () (and @t40 @t14)) % 0.38/0.62 (define @t42 () (and @t40 @t19)) % 0.38/0.62 (define @t43 () (and (=> @t31 @t42) (=> @t32 @t41))) % 0.38/0.62 (define @t44 () (forall @t36 @t43)) % 0.38/0.62 (define @t45 () (exists @t7 @t44)) % 0.38/0.62 (define @t46 () (=> @t45 @t39)) % 0.38/0.62 (define @t47 () (@var "U" tptp.program)) % 0.38/0.62 (define @t48 () (tptp.outputs @t47 tptp.bad)) % 0.38/0.62 (define @t49 () (tptp.halts2 @t47 @t28)) % 0.38/0.62 (define @t50 () (and @t49 @t48)) % 0.38/0.62 (define @t51 () (not @t49)) % 0.38/0.62 (define @t52 () (and (=> @t31 @t51) (=> @t32 @t50))) % 0.38/0.62 (define @t53 () (forall @t36 @t52)) % 0.38/0.62 (define @t54 () (@list @t47)) % 0.38/0.62 (define @t55 () (exists @t54 @t53)) % 0.38/0.62 (define @t56 () (=> @t39 @t55)) % 0.38/0.62 (define @t57 () (@var "Z1" tptp.input)) % 0.38/0.62 (define @t58 () (@var "Y1" tptp.program)) % 0.38/0.62 (define @t59 () (@var "X1" tptp.algorithm)) % 0.38/0.62 (define @t60 () (forall (@list @t58 @t57) (tptp.decides @t59 @t58 @t57))) % 0.38/0.62 (define @t61 () (@list @t59)) % 0.38/0.62 (define @t62 () (exists @t61 @t60)) % 0.38/0.62 (define @t63 () (@var "BOUND_VARIABLE_7551" tptp.input)) % 0.38/0.62 (define @t64 () (@var "BOUND_VARIABLE_7549" tptp.program)) % 0.38/0.62 (define @t65 () (or (tptp.halts2 @t64 @t63) (and (tptp.halts3 @t3 @t64 @t63) @t14))) % 0.38/0.62 (define @t66 () (@var "BOUND_VARIABLE_7542" tptp.input)) % 0.38/0.62 (define @t67 () (@var "BOUND_VARIABLE_7540" tptp.program)) % 0.38/0.62 (define @t68 () (or (not (tptp.halts2 @t67 @t66)) (and (tptp.halts3 @t3 @t67 @t66) @t19))) % 0.38/0.62 (define @t69 () (and @t68 @t65)) % 0.38/0.62 (define @t70 () (not @t4)) % 0.38/0.62 (define @t71 () (or @t70 @t69)) % 0.38/0.62 (define @t72 () (@list @t67 @t66 @t64 @t63)) % 0.38/0.62 (define @t73 () (forall @t72 @t71)) % 0.38/0.62 (define @t74 () (forall (@list @t64 @t63) @t65)) % 0.38/0.62 (define @t75 () (@var "BOUND_VARIABLE_7526" tptp.input)) % 0.38/0.62 (define @t76 () (@var "BOUND_VARIABLE_7524" tptp.program)) % 0.38/0.62 (define @t77 () (@list @t76 @t75)) % 0.38/0.62 (define @t78 () (forall @t72 @t65)) % 0.38/0.62 (define @t79 () (forall (@list @t67 @t66) @t68)) % 0.38/0.62 (define @t80 () (@var "BOUND_VARIABLE_7515" tptp.input)) % 0.38/0.62 (define @t81 () (@var "BOUND_VARIABLE_7513" tptp.program)) % 0.38/0.62 (define @t82 () (@list @t81 @t80)) % 0.38/0.62 (define @t83 () (forall @t72 @t68)) % 0.38/0.62 (define @t84 () (and @t83 @t78)) % 0.38/0.62 (define @t85 () (forall @t72 @t69)) % 0.38/0.62 (define @t86 () (or @t70 @t85)) % 0.38/0.62 (define @t87 () (and (forall (@list @t81 @t80) (or (not (tptp.halts2 @t81 @t80)) (and (tptp.halts3 @t3 @t81 @t80) @t19))) (forall (@list @t76 @t75) (or (tptp.halts2 @t76 @t75) (and (tptp.halts3 @t3 @t76 @t75) @t14))))) % 0.38/0.62 (define @t88 () (or @t17 @t16)) % 0.38/0.62 (define @t89 () (forall @t5 @t88)) % 0.38/0.62 (define @t90 () (@list @t2 @t1)) % 0.38/0.62 (define @t91 () (or @t18 @t20)) % 0.38/0.62 (define @t92 () (forall @t5 @t91)) % 0.38/0.62 (define @t93 () (and @t92 @t89)) % 0.38/0.62 (define @t94 () (forall @t7 (not @t6))) % 0.38/0.62 (define @t95 () (@quantifiers_skolemize @t94 0)) % 0.38/0.62 (define @t96 () (tptp.outputs @t95 tptp.bad)) % 0.38/0.62 (define @t97 () (@var "BOUND_VARIABLE_7576" tptp.program)) % 0.38/0.62 (define @t98 () (tptp.as_input @t97)) % 0.38/0.62 (define @t99 () (tptp.halts2 @t97 @t98)) % 0.38/0.62 (define @t100 () (@list @t97)) % 0.38/0.62 (define @t101 () (forall @t100 (or @t99 (and (tptp.halts3 @t95 @t97 @t98) @t96)))) % 0.38/0.62 (define @t102 () (@quantifiers_skolemize @t101 0)) % 0.38/0.62 (define @t103 () (tptp.as_input @t102)) % 0.38/0.62 (define @t104 () (@var "BOUND_VARIABLE_7609" tptp.program)) % 0.38/0.62 (define @t105 () (tptp.as_input @t104)) % 0.38/0.62 (define @t106 () (forall (@list @t104) (or (tptp.halts2 @t104 @t105) (and (tptp.halts2 @t26 @t105) @t27)))) % 0.38/0.62 (define @t107 () (@var "BOUND_VARIABLE_7599" tptp.program)) % 0.38/0.62 (define @t108 () (tptp.as_input @t107)) % 0.38/0.62 (define @t109 () (forall (@list @t107) (or (not (tptp.halts2 @t107 @t108)) (and (tptp.halts2 @t26 @t108) @t33)))) % 0.38/0.62 (define @t110 () (forall @t38 (or (not @t109) (not @t106)))) % 0.38/0.62 (define @t111 () (@quantifiers_skolemize @t110 0)) % 0.38/0.62 (define @t112 () (tptp.as_input @t111)) % 0.38/0.62 (define @t113 () (@var "BOUND_VARIABLE_7644" tptp.program)) % 0.38/0.62 (define @t114 () (tptp.as_input @t113)) % 0.38/0.62 (define @t115 () (tptp.halts2 @t113 @t114)) % 0.38/0.62 (define @t116 () (@list @t113)) % 0.38/0.62 (define @t117 () (forall @t116 (or @t115 (and (tptp.halts2 @t47 @t114) @t48)))) % 0.38/0.62 (define @t118 () (@var "BOUND_VARIABLE_7634" tptp.program)) % 0.38/0.62 (define @t119 () (tptp.as_input @t118)) % 0.38/0.62 (define @t120 () (not (tptp.halts2 @t118 @t119))) % 0.38/0.62 (define @t121 () (@list @t118)) % 0.38/0.62 (define @t122 () (forall @t121 (or @t120 (not (tptp.halts2 @t47 @t119))))) % 0.38/0.62 (define @t123 () (forall @t54 (or (not @t122) (not @t117)))) % 0.38/0.62 (define @t124 () (@quantifiers_skolemize @t123 0)) % 0.38/0.62 (define @t125 () (@const 0 tptp.input)) % 0.38/0.62 (define @t126 () (forall @t61 (not @t60))) % 0.38/0.62 (define @t127 () (forall @t11 (not @t10))) % 0.38/0.62 (define @t128 () (not @t127)) % 0.38/0.62 (define @t129 () (@list true)) % 0.38/0.62 (define @t130 () (not @t94)) % 0.38/0.62 (define @t131 () (tptp.algorithm_of @t95)) % 0.38/0.62 (define @t132 () (forall @t5 (tptp.decides @t131 @t2 @t1))) % 0.38/0.62 (define @t133 () (not (not @t132))) % 0.38/0.62 (define @t134 () (or (tptp.halts2 @t102 @t103) (and (tptp.halts3 @t95 @t102 @t103) @t96))) % 0.38/0.62 (define @t135 () (tptp.outputs @t95 tptp.good)) % 0.38/0.62 (define @t136 () (and (or (not (tptp.halts2 @t124 @t112)) (and (tptp.halts3 @t95 @t124 @t112) @t135)) @t134)) % 0.38/0.62 (define @t137 () (tptp.decides @t131 @t95 @t125)) % 0.38/0.62 (define @t138 () (not @t137)) % 0.38/0.62 (define @t139 () (or @t138 @t136)) % 0.38/0.62 (define @t140 () (@list false false)) % 0.38/0.62 (define @t141 () (@list false)) % 0.38/0.62 (define @t142 () (not @t134)) % 0.38/0.62 (define @t143 () (not @t101)) % 0.38/0.62 (define @t144 () (@var "BOUND_VARIABLE_7566" tptp.program)) % 0.38/0.62 (define @t145 () (tptp.as_input @t144)) % 0.38/0.62 (define @t146 () (not (tptp.halts2 @t144 @t145))) % 0.38/0.62 (define @t147 () (@list @t144)) % 0.38/0.62 (define @t148 () (forall @t147 (or @t146 (and (tptp.halts3 @t95 @t144 @t145) @t135)))) % 0.38/0.62 (define @t149 () (@quantifiers_skolemize @t148 0)) % 0.38/0.62 (define @t150 () (tptp.as_input @t149)) % 0.38/0.62 (define @t151 () (or (not (tptp.halts2 @t149 @t150)) (and (tptp.halts3 @t95 @t149 @t150) @t135))) % 0.38/0.62 (define @t152 () (and @t151 (or (tptp.halts2 @t111 @t125) (and (tptp.halts3 @t95 @t111 @t125) @t96)))) % 0.38/0.62 (define @t153 () (or @t138 @t152)) % 0.38/0.62 (define @t154 () (not @t151)) % 0.38/0.62 (define @t155 () (not @t148)) % 0.38/0.62 (define @t156 () (or @t155 @t143)) % 0.38/0.62 (define @t157 () (not @t156)) % 0.38/0.62 (define @t158 () (forall @t100 (or @t99 (and (tptp.halts3 @t3 @t97 @t98) @t14)))) % 0.38/0.62 (define @t159 () (forall @t147 (or @t146 (and (tptp.halts3 @t3 @t144 @t145) @t19)))) % 0.38/0.62 (define @t160 () (forall @t7 (or (not @t159) (not @t158)))) % 0.38/0.62 (define @t161 () (not @t160)) % 0.38/0.62 (define @t162 () (not @t110)) % 0.38/0.62 (define @t163 () (and @t109 @t106)) % 0.38/0.62 (define @t164 () (forall @t38 (not @t163))) % 0.38/0.62 (define @t165 () (not @t164)) % 0.38/0.62 (define @t166 () (or @t31 @t30)) % 0.38/0.62 (define @t167 () (forall @t36 @t166)) % 0.38/0.62 (define @t168 () (@list @t2)) % 0.38/0.62 (define @t169 () (or @t32 @t34)) % 0.38/0.62 (define @t170 () (forall @t36 @t169)) % 0.38/0.62 (define @t171 () (and @t170 @t167)) % 0.38/0.62 (define @t172 () (not @t32)) % 0.38/0.62 (define @t173 () (and @t159 @t158)) % 0.38/0.62 (define @t174 () (forall @t7 (not @t173))) % 0.38/0.62 (define @t175 () (not @t174)) % 0.38/0.62 (define @t176 () (or @t31 @t41)) % 0.38/0.62 (define @t177 () (forall @t36 @t176)) % 0.38/0.62 (define @t178 () (or @t32 @t42)) % 0.38/0.62 (define @t179 () (forall @t36 @t178)) % 0.38/0.62 (define @t180 () (and @t179 @t177)) % 0.38/0.62 (define @t181 () (not @t123)) % 0.38/0.62 (define @t182 () (and @t122 @t117)) % 0.38/0.62 (define @t183 () (forall @t54 (not @t182))) % 0.38/0.62 (define @t184 () (not @t183)) % 0.38/0.62 (define @t185 () (or @t31 @t50)) % 0.38/0.62 (define @t186 () (forall @t36 @t185)) % 0.38/0.62 (define @t187 () (or @t32 @t51)) % 0.38/0.62 (define @t188 () (forall @t36 @t187)) % 0.38/0.62 (define @t189 () (and @t188 @t186)) % 0.38/0.62 (define @t190 () (tptp.outputs @t124 tptp.bad)) % 0.38/0.62 (define @t191 () (forall @t116 (or @t115 (and (tptp.halts2 @t124 @t114) @t190)))) % 0.38/0.62 (define @t192 () (not @t191)) % 0.38/0.62 (define @t193 () (forall @t121 (or @t120 (not (tptp.halts2 @t124 @t119))))) % 0.38/0.62 (define @t194 () (not @t193)) % 0.38/0.62 (define @t195 () (or @t194 @t192)) % 0.38/0.62 (define @t196 () (not @t195)) % 0.38/0.62 (define @t197 () (@list @t195)) % 0.38/0.62 (define @t198 () (tptp.halts2 @t124 (tptp.as_input @t124))) % 0.38/0.62 (define @t199 () (not @t198)) % 0.38/0.62 (define @t200 () (or @t199 @t199)) % 0.38/0.62 (define @t201 () (@list @t124)) % 0.38/0.62 (define @t202 () (and @t198 @t190)) % 0.38/0.62 (define @t203 () (not @t202)) % 0.38/0.62 (define @t204 () (or @t198 @t202)) % 0.38/0.62 (assume @p1 @t13) % 0.38/0.62 (assume @p2 @t25) % 0.38/0.62 (assume @p3 @t46) % 0.38/0.62 (assume @p4 @t56) % 0.38/0.62 (assume @p5 (not (not @t62))) % 0.38/0.62 (assume @p6 true) % 0.38/0.62 (step @p7 :rule quant-merge-prenex :args ((= (forall @t24 @t73) (forall (@list @t3 @t2 @t1 @t67 @t66 @t64 @t63) @t71)))) % 0.38/0.62 (step @p8 :rule alpha_equiv :args (@t74 (@list @t64 @t63) @t77)) % 0.38/0.62 (step @p9 :rule quant-unused-vars :args ((= @t78 @t74))) % 0.38/0.62 (step @p10 :rule trans :premises (@p9 @p8)) % 0.38/0.62 (step @p11 :rule alpha_equiv :args (@t79 (@list @t67 @t66) @t82)) % 0.38/0.62 (step @p12 :rule quant-unused-vars :args ((= @t83 @t79))) % 0.38/0.62 (step @p13 :rule trans :premises (@p12 @p11)) % 0.38/0.62 (step @p14 :rule nary_cong :premises (@p13 @p10) :args (@t84)) % 0.38/0.62 (step @p15 :rule quant-miniscope-and :args ((= @t85 @t84))) % 0.38/0.62 (step @p16 :rule trans :premises (@p15 @p14)) % 0.38/0.62 (step @p17 :rule refl :args (@t70)) % 0.38/0.62 (step @p18 :rule nary_cong :premises (@p17 @p16) :args (@t86)) % 0.38/0.62 (step @p19 :rule quant-miniscope-or :args ((= @t73 @t86))) % 0.38/0.62 (step @p20 :rule trans :premises (@p19 @p18)) % 0.38/0.62 (step @p21 :rule symm :premises (@p20)) % 0.38/0.62 (step @p22 :rule cong :premises (@p21) :args ((forall @t24 (or @t70 @t87)))) % 0.38/0.62 (step @p23 :rule trans :premises (@p22 @p7)) % 0.38/0.62 (step @p24 :rule bool-impl-elim :args (@t4 @t87)) % 0.38/0.62 (step @p25 :rule cong :premises (@p24) :args ((forall @t24 (=> @t4 @t87)))) % 0.38/0.62 (step @p26 :rule trans :premises (@p25 @p23)) % 0.38/0.62 (step @p27 :rule alpha_equiv :args (@t89 @t90 @t77)) % 0.38/0.62 (step @p28 :rule alpha_equiv :args (@t92 @t90 @t82)) % 0.38/0.62 (step @p29 :rule nary_cong :premises (@p28 @p27) :args (@t93)) % 0.38/0.62 (step @p30 :rule quant-miniscope-and :args ((= (forall @t5 (and @t91 @t88)) @t93))) % 0.38/0.62 (step @p31 :rule trans :premises (@p30 @p29)) % 0.38/0.62 (step @p32 :rule refl :args (@t16)) % 0.38/0.62 (step @p33 :rule bool-double-not-elim :args (@t17)) % 0.38/0.62 (step @p34 :rule nary_cong :premises (@p33 @p32) :args ((or (not @t18) @t16))) % 0.38/0.62 (step @p35 :rule bool-impl-elim :args (@t18 @t16)) % 0.38/0.62 (step @p36 :rule trans :premises (@p35 @p34)) % 0.38/0.62 (step @p37 :rule bool-impl-elim :args (@t17 @t20)) % 0.38/0.62 (step @p38 :rule nary_cong :premises (@p37 @p36) :args (@t21)) % 0.38/0.62 (step @p39 :rule cong :premises (@p38) :args (@t22)) % 0.38/0.62 (step @p40 :rule trans :premises (@p39 @p31)) % 0.38/0.62 (step @p41 :rule refl :args (@t4)) % 0.38/0.62 (step @p42 :rule cong :premises (@p41 @p40) :args (@t23)) % 0.38/0.62 (step @p43 :rule cong :premises (@p42) :args (@t25)) % 0.38/0.62 (step @p44 :rule trans :premises (@p43 @p26)) % 0.38/0.62 (step @p45 :rule eq_resolve :premises (@p2 @p44)) % 0.38/0.62 (step @p46 :rule instantiate :premises (@p45) :args 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% 0.38/0.62 (step @p171 :rule nary_cong :premises (@p170 @p169) :args ((or (not @t162) @t181))) % 0.38/0.62 (step @p172 :rule bool-and-de-morgan :args (@t122 @t117 true)) % 0.38/0.62 (step @p173 :rule cong :premises (@p172) :args (@t183)) % 0.38/0.62 (step @p174 :rule cong :premises (@p173) :args (@t184)) % 0.38/0.62 (step @p175 :rule exists-elim :args ((= (exists @t54 @t182) @t184))) % 0.38/0.62 (step @p176 :rule trans :premises (@p175 @p174)) % 0.38/0.62 (step @p177 :rule alpha_equiv :args (@t186 @t168 (@list @t113))) % 0.38/0.62 (step @p178 :rule alpha_equiv :args (@t188 @t168 (@list @t118))) % 0.38/0.62 (step @p179 :rule nary_cong :premises (@p178 @p177) :args (@t189)) % 0.38/0.62 (step @p180 :rule quant-miniscope-and :args ((= (forall @t36 (and @t187 @t185)) @t189))) % 0.38/0.62 (step @p181 :rule trans :premises (@p180 @p179)) % 0.38/0.62 (step @p182 :rule refl :args (@t50)) % 0.38/0.62 (step @p183 :rule nary_cong :premises (@p134 @p182) :args ((or @t172 @t50))) % 0.38/0.62 (step 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0.38/0.62 (step @p199 :rule nary_cong :premises (@p198 @p197) :args ((or (not @t181) @t196))) % 0.38/0.62 (assume-push @p250 @t181) % 0.38/0.62 (step @p201 :rule skolemize :premises (@p250)) % 0.38/0.62 (step-pop @p251 :rule scope :premises (@p201)) % 0.38/0.62 (step @p202 :rule process_scope :premises (@p251) :args (@t196)) % 0.38/0.62 (step @p204 :rule implies_elim :premises (@p202)) % 0.38/0.62 (step @p205 :rule eq_resolve :premises (@p204 @p199)) % 0.38/0.62 (step @p206 :rule chain_m_resolution :premises (@p205 @p196) :args (@t196 @t129 (@list @t123))) % 0.38/0.62 (step @p207 :rule bool-double-not-elim :args (@t193)) % 0.38/0.62 (step @p208 :rule refl :args (@t195)) % 0.38/0.62 (step @p209 :rule nary_cong :premises (@p208 @p207) :args ((or @t195 (not @t194)))) % 0.38/0.62 (step @p210 :rule cnf_or_neg :args (@t195 0)) % 0.38/0.62 (step @p211 :rule eq_resolve :premises (@p210 @p209)) % 0.38/0.62 (step @p212 :rule reordering :premises (@p211) :args ((or @t193 @t195))) % 0.38/0.62 (step @p213 :rule chain_m_resolution :premises (@p212 @p206) :args (@t193 @t129 @t197)) % 0.38/0.62 (step @p214 :rule aci_norm :args ((= @t200 @t199))) % 0.38/0.62 (step @p215 :rule refl :args (@t193)) % 0.38/0.62 (step @p216 :rule cong :premises (@p215 @p214) :args ((=> @t193 @t200))) % 0.38/0.62 (assume-push @p252 @t193) % 0.38/0.62 (step @p218 :rule instantiate :premises (@p252) :args (@t201)) % 0.38/0.62 (step-pop @p253 :rule scope :premises (@p218)) % 0.38/0.62 (step @p219 :rule process_scope :premises (@p253) :args (@t200)) % 0.38/0.62 (step @p221 :rule eq_resolve :premises (@p219 @p216)) % 0.38/0.62 (step @p222 :rule implies_elim :premises (@p221)) % 0.38/0.62 (step @p223 :rule chain_m_resolution :premises (@p222 @p213) :args (@t199 @t141 (@list @t193))) % 0.38/0.62 (step @p224 :rule cnf_and_pos :args (@t202 0)) % 0.38/0.62 (step @p225 :rule reordering :premises (@p224) :args ((or @t198 @t203))) % 0.38/0.62 (step @p226 :rule chain_m_resolution :premises (@p225 @p223) :args (@t203 @t129 (@list @t198))) % 0.38/0.62 (step @p227 :rule bool-double-not-elim :args (@t191)) % 0.38/0.62 (step @p228 :rule nary_cong :premises (@p208 @p227) :args ((or @t195 (not @t192)))) % 0.38/0.62 (step @p229 :rule cnf_or_neg :args (@t195 1)) % 0.38/0.62 (step @p230 :rule eq_resolve :premises (@p229 @p228)) % 0.38/0.62 (step @p231 :rule reordering :premises (@p230) :args ((or @t191 @t195))) % 0.38/0.62 (step @p232 :rule chain_m_resolution :premises (@p231 @p206) :args (@t191 @t129 @t197)) % 0.38/0.62 (assume-push @p254 @t191) % 0.38/0.62 (step @p234 :rule instantiate :premises (@p254) :args (@t201)) % 0.38/0.62 (step-pop @p255 :rule scope :premises (@p234)) % 0.38/0.62 (step @p235 :rule process_scope :premises (@p255) :args (@t204)) % 0.38/0.62 (step @p237 :rule implies_elim :premises (@p235)) % 0.38/0.62 (step @p238 :rule chain_m_resolution :premises (@p237 @p232) :args (@t204 @t141 (@list @t191))) % 0.38/0.62 (step @p239 :rule cnf_or_pos :args (@t204)) % 0.38/0.62 (step @p240 :rule reordering :premises (@p239) :args ((or @t198 @t202 (not @t204)))) % 0.38/0.62 (step @p241 false :rule chain_m_resolution :premises (@p240 @p238 @p226 @p223) :args (false (@list false true true) (@list @t204 @t202 @t198))) % 0.38/0.62 ) % 0.38/0.62 % SZS output end Proof % 0.38/0.62 % cvc5 exiting %------------------------------------------------------------------------------