%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : COM218_1 : TPTP v9.3.0. Released v9.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n008.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 08:10:40 AM UTC 2026 % Result : Theorem 34.35s 34.78s % Output : Proof 34.35s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : COM218_1 : TPTP v9.3.0. Released v9.3.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.34 % Computer : n008.cluster.edu % 0.18/0.34 % Model : x86_64 x86_64 % 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.34 % Memory : 8042.1875MB % 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Mon Jun 1 20:32:48 EDT 2026 % 0.18/0.35 % CPUTime : % 0.28/0.53 %----Proving TF0_NAR, FOF, or CNF % 34.35/34.78 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 34.35/34.78 --- Run --no-e-matching --full-saturate-quant at 6... % 34.35/34.78 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 34.35/34.78 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 34.35/34.78 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 34.35/34.78 % SZS status Theorem % 34.35/34.78 % SZS output start Proof % 34.35/34.78 ( % 34.35/34.78 (declare-sort tptp.vTy 0) % 34.35/34.78 (declare-sort tptp.vOptTerm 0) % 34.35/34.78 (declare-sort tptp.vTerm 0) % 34.35/34.78 (declare-const tptp.vt3 tptp.vTerm) % 34.35/34.78 (declare-const tptp.vt2 tptp.vTerm) % 34.35/34.78 (declare-const tptp.vt1 tptp.vTerm) % 34.35/34.78 (declare-const tptp.vptchecksimple (-> tptp.vTerm tptp.vTy Bool)) % 34.35/34.78 (declare-const tptp.vreduce (-> tptp.vTerm tptp.vOptTerm)) % 34.35/34.78 (declare-const tptp.vplusop (-> tptp.vTerm tptp.vTerm tptp.vTerm)) % 34.35/34.78 (declare-const tptp.visSomeTerm (-> tptp.vOptTerm Bool)) % 34.35/34.78 (declare-const tptp.visValue (-> tptp.vTerm Bool)) % 34.35/34.78 (declare-const tptp.visNV (-> tptp.vTerm Bool)) % 34.35/34.78 (declare-const tptp.vPlus (-> tptp.vTerm tptp.vTerm tptp.vTerm)) % 34.35/34.78 (declare-const tptp.vIszero (-> tptp.vTerm tptp.vTerm)) % 34.35/34.78 (declare-const tptp.vPred (-> tptp.vTerm tptp.vTerm)) % 34.35/34.78 (declare-const tptp.vNat tptp.vTy) % 34.35/34.78 (declare-const tptp.vgetTerm (-> tptp.vOptTerm tptp.vTerm)) % 34.35/34.78 (declare-const tptp.vSucc (-> tptp.vTerm tptp.vTerm)) % 34.35/34.78 (declare-const tptp.vB tptp.vTy) % 34.35/34.78 (declare-const tptp.vZero tptp.vTerm) % 34.35/34.78 (declare-const tptp.vIfelse (-> tptp.vTerm tptp.vTerm tptp.vTerm tptp.vTerm)) % 34.35/34.78 (declare-const tptp.vFalse tptp.vTerm) % 34.35/34.78 (declare-const tptp.vTrue tptp.vTerm) % 34.35/34.78 (declare-const tptp.vsomeTerm (-> tptp.vTerm tptp.vOptTerm)) % 34.35/34.78 (declare-const tptp.vnoTerm tptp.vOptTerm) % 34.35/34.78 (define @t1 () (@var "VTerm1" tptp.vTerm)) % 34.35/34.78 (define @t2 () (@var "VTerm0" tptp.vTerm)) % 34.35/34.78 (define @t3 () (tptp.vPlus @t2 @t1)) % 34.35/34.78 (define @t4 () (@var "VX" tptp.vTerm)) % 34.35/34.78 (define @t5 () (@list @t2 @t1)) % 34.35/34.78 (define @t6 () (tptp.vIszero @t2)) % 34.35/34.78 (define @t7 () (@list @t2)) % 34.35/34.78 (define @t8 () (tptp.vPred @t2)) % 34.35/34.78 (define @t9 () (tptp.vSucc @t2)) % 34.35/34.78 (define @t10 () (@var "VTerm2" tptp.vTerm)) % 34.35/34.78 (define @t11 () (tptp.vIfelse @t2 @t1 @t10)) % 34.35/34.78 (define @t12 () (@list @t2 @t1 @t10)) % 34.35/34.78 (define @t13 () (@var "VTerm5" tptp.vTerm)) % 34.35/34.78 (define @t14 () (@var "VTerm4" tptp.vTerm)) % 34.35/34.78 (define @t15 () (@var "VTerm3" tptp.vTerm)) % 34.35/34.78 (define @t16 () (= @t2 @t1)) % 34.35/34.78 (define @t17 () (tptp.vPred @t1)) % 34.35/34.78 (define @t18 () (tptp.vIszero @t1)) % 34.35/34.78 (define @t19 () (@list @t2 @t1 @t10 @t15)) % 34.35/34.78 (define @t20 () (tptp.vPlus @t1 @t10)) % 34.35/34.78 (define @t21 () (tptp.vsomeTerm @t2)) % 34.35/34.78 (define @t22 () (@var "VX" tptp.vOptTerm)) % 34.35/34.78 (define @t23 () (@var "VX" tptp.vTy)) % 34.35/34.78 (define @t24 () (@var "Vt" tptp.vTerm)) % 34.35/34.78 (define @t25 () (tptp.vgetTerm (tptp.vsomeTerm @t24))) % 34.35/34.78 (define @t26 () (forall (@list @t24) (= @t25 @t24))) % 34.35/34.78 (define @t27 () (@var "Vnv" tptp.vTerm)) % 34.35/34.78 (define @t28 () (tptp.visNV @t27)) % 34.35/34.78 (define @t29 () (tptp.vSucc @t27)) % 34.35/34.78 (define @t30 () (@list @t27)) % 34.35/34.78 (define @t31 () (@var "VwildcardName0" tptp.vTerm)) % 34.35/34.78 (define @t32 () (@var "Vnv0" tptp.vTerm)) % 34.35/34.78 (define @t33 () (tptp.vSucc @t32)) % 34.35/34.78 (define @t34 () (@list @t32)) % 34.35/34.78 (define @t35 () (forall @t34 (not (= @t31 @t33)))) % 34.35/34.78 (define @t36 () (not (= @t31 tptp.vZero))) % 34.35/34.78 (define @t37 () (@list @t31)) % 34.35/34.78 (define @t38 () (= @t2 @t29)) % 34.35/34.78 (define @t39 () (tptp.visNV @t2)) % 34.35/34.78 (define @t40 () (not @t28)) % 34.35/34.78 (define @t41 () (@var "Vt1" tptp.vTerm)) % 34.35/34.78 (define @t42 () (tptp.visNV @t41)) % 34.35/34.78 (define @t43 () (not (= @t41 tptp.vFalse))) % 34.35/34.78 (define @t44 () (not (= @t41 tptp.vTrue))) % 34.35/34.78 (define @t45 () (@list @t41)) % 34.35/34.78 (define @t46 () (= @t2 @t41)) % 34.35/34.78 (define @t47 () (tptp.visValue @t2)) % 34.35/34.78 (define @t48 () (not @t42)) % 34.35/34.78 (define @t49 () (tptp.vsomeTerm @t31)) % 34.35/34.78 (define @t50 () (@var "VOptTerm0" tptp.vOptTerm)) % 34.35/34.78 (define @t51 () (exists @t37 (= @t50 @t49))) % 34.35/34.78 (define @t52 () (tptp.visSomeTerm @t50)) % 34.35/34.78 (define @t53 () (=> @t52 @t51)) % 34.35/34.78 (define @t54 () (@list @t50)) % 34.35/34.78 (define @t55 () (forall @t54 @t53)) % 34.35/34.78 (define @t56 () (@var "Vt2" tptp.vTerm)) % 34.35/34.78 (define @t57 () (@var "Vt3" tptp.vTerm)) % 34.35/34.78 (define @t58 () (tptp.vplusop @t56 @t57)) % 34.35/34.78 (define @t59 () (@list @t56 @t57)) % 34.35/34.78 (define @t60 () (@var "Vt30" tptp.vTerm)) % 34.35/34.78 (define @t61 () (tptp.vSucc @t60)) % 34.35/34.78 (define @t62 () (@var "Vt31" tptp.vTerm)) % 34.35/34.78 (define @t63 () (tptp.vplusop @t2 @t1)) % 34.35/34.78 (define @t64 () (@var "Vt22" tptp.vTerm)) % 34.35/34.78 (define @t65 () (@var "Vt3000" tptp.vTerm)) % 34.35/34.78 (define @t66 () (@var "Vt21" tptp.vTerm)) % 34.35/34.78 (define @t67 () (@var "Vt20" tptp.vTerm)) % 34.35/34.78 (define @t68 () (tptp.vreduce @t41)) % 34.35/34.78 (define @t69 () (tptp.vgetTerm @t68)) % 34.35/34.78 (define @t70 () (tptp.vIfelse @t41 @t56 @t57)) % 34.35/34.78 (define @t71 () (tptp.vreduce @t70)) % 34.35/34.78 (define @t72 () (= @t71 (tptp.vsomeTerm (tptp.vIfelse @t69 @t56 @t57)))) % 34.35/34.78 (define @t73 () (tptp.visSomeTerm @t68)) % 34.35/34.78 (define @t74 () (@var "Vt301" tptp.vTerm)) % 34.35/34.78 (define @t75 () (not (= @t57 @t74))) % 34.35/34.78 (define @t76 () (@var "Vt201" tptp.vTerm)) % 34.35/34.78 (define @t77 () (not (= @t56 @t76))) % 34.35/34.78 (define @t78 () (or @t43 @t77 @t75)) % 34.35/34.78 (define @t79 () (@list @t76 @t74)) % 34.35/34.78 (define @t80 () (forall @t79 @t78)) % 34.35/34.78 (define @t81 () (@var "Vt300" tptp.vTerm)) % 34.35/34.78 (define @t82 () (not (= @t57 @t81))) % 34.35/34.78 (define @t83 () (@var "Vt200" tptp.vTerm)) % 34.35/34.78 (define @t84 () (not (= @t56 @t83))) % 34.35/34.78 (define @t85 () (or @t44 @t84 @t82)) % 34.35/34.78 (define @t86 () (@list @t83 @t81)) % 34.35/34.78 (define @t87 () (forall @t86 @t85)) % 34.35/34.78 (define @t88 () (and @t87 @t80 @t73)) % 34.35/34.78 (define @t89 () (=> @t88 @t72)) % 34.35/34.78 (define @t90 () (@list @t41 @t56 @t57)) % 34.35/34.78 (define @t91 () (forall @t90 @t89)) % 34.35/34.78 (define @t92 () (not @t73)) % 34.35/34.78 (define @t93 () (tptp.vSucc @t41)) % 34.35/34.78 (define @t94 () (tptp.vreduce @t93)) % 34.35/34.78 (define @t95 () (tptp.vsomeTerm tptp.vZero)) % 34.35/34.78 (define @t96 () (tptp.vPred tptp.vZero)) % 34.35/34.78 (define @t97 () (tptp.vreduce (tptp.vPred @t29))) % 34.35/34.78 (define @t98 () (tptp.vreduce @t29)) % 34.35/34.78 (define @t99 () (tptp.vgetTerm @t98)) % 34.35/34.78 (define @t100 () (tptp.visSomeTerm @t98)) % 34.35/34.78 (define @t101 () (and @t40 @t100)) % 34.35/34.78 (define @t102 () (and @t40 (not @t100))) % 34.35/34.78 (define @t103 () (tptp.vPred @t41)) % 34.35/34.78 (define @t104 () (tptp.vreduce @t103)) % 34.35/34.78 (define @t105 () (@var "Vnv00" tptp.vTerm)) % 34.35/34.78 (define @t106 () (forall (@list @t105) (not (= @t41 (tptp.vSucc @t105))))) % 34.35/34.78 (define @t107 () (not (= @t41 tptp.vZero))) % 34.35/34.78 (define @t108 () (and @t107 @t106 @t73)) % 34.35/34.78 (define @t109 () (and @t107 @t106 @t92)) % 34.35/34.78 (define @t110 () (tptp.vsomeTerm tptp.vTrue)) % 34.35/34.78 (define @t111 () (tptp.vIszero tptp.vZero)) % 34.35/34.78 (define @t112 () (tptp.vsomeTerm tptp.vFalse)) % 34.35/34.78 (define @t113 () (tptp.vreduce (tptp.vIszero @t29))) % 34.35/34.78 (define @t114 () (tptp.vIszero @t41)) % 34.35/34.78 (define @t115 () (tptp.vreduce @t114)) % 34.35/34.78 (define @t116 () (tptp.vPlus @t41 @t56)) % 34.35/34.78 (define @t117 () (tptp.vreduce @t116)) % 34.35/34.78 (define @t118 () (tptp.visNV @t56)) % 34.35/34.78 (define @t119 () (@list @t41 @t56)) % 34.35/34.78 (define @t120 () (tptp.vreduce @t56)) % 34.35/34.78 (define @t121 () (tptp.visSomeTerm @t120)) % 34.35/34.78 (define @t122 () (not @t118)) % 34.35/34.78 (define @t123 () (= @t117 tptp.vnoTerm)) % 34.35/34.78 (define @t124 () (@var "Vt10" tptp.vTerm)) % 34.35/34.78 (define @t125 () (@list @t124)) % 34.35/34.78 (define @t126 () (tptp.vPred @t33)) % 34.35/34.78 (define @t127 () (@list @t67 @t60)) % 34.35/34.78 (define @t128 () (tptp.vIfelse tptp.vTrue @t67 @t60)) % 34.35/34.78 (define @t129 () (tptp.vreduce @t2)) % 34.35/34.78 (define @t130 () (= @t129 tptp.vnoTerm)) % 34.35/34.78 (define @t131 () (@var "VwildcardName00" tptp.vTerm)) % 34.35/34.78 (define @t132 () (@var "Vt2080" tptp.vTerm)) % 34.35/34.78 (define @t133 () (@var "Vt1040" tptp.vTerm)) % 34.35/34.78 (define @t134 () (@var "Vt1030" tptp.vTerm)) % 34.35/34.78 (define @t135 () (@var "Vnv050" tptp.vTerm)) % 34.35/34.78 (define @t136 () (@var "Vt1020" tptp.vTerm)) % 34.35/34.78 (define @t137 () (@var "Vnv040" tptp.vTerm)) % 34.35/34.78 (define @t138 () (@var "Vt1010" tptp.vTerm)) % 34.35/34.78 (define @t139 () (@var "Vt3070" tptp.vTerm)) % 34.35/34.78 (define @t140 () (@var "Vt2070" tptp.vTerm)) % 34.35/34.78 (define @t141 () (@var "Vt1000" tptp.vTerm)) % 34.35/34.78 (define @t142 () (@var "Vt3060" tptp.vTerm)) % 34.35/34.78 (define @t143 () (@var "Vt2060" tptp.vTerm)) % 34.35/34.78 (define @t144 () (@var "Vt3050" tptp.vTerm)) % 34.35/34.78 (define @t145 () (@var "Vt2050" tptp.vTerm)) % 34.35/34.78 (define @t146 () (@var "Vt28" tptp.vTerm)) % 34.35/34.78 (define @t147 () (@var "Vt112" tptp.vTerm)) % 34.35/34.78 (define @t148 () (@var "Vot13" tptp.vOptTerm)) % 34.35/34.78 (define @t149 () (@var "Vt27" tptp.vTerm)) % 34.35/34.78 (define @t150 () (@var "Vot12" tptp.vOptTerm)) % 34.35/34.78 (define @t151 () (@var "Vt111" tptp.vTerm)) % 34.35/34.78 (define @t152 () (@var "Vt26" tptp.vTerm)) % 34.35/34.78 (define @t153 () (@var "Vt110" tptp.vTerm)) % 34.35/34.78 (define @t154 () (@var "Vot211" tptp.vOptTerm)) % 34.35/34.78 (define @t155 () (@var "Vot210" tptp.vOptTerm)) % 34.35/34.78 (define @t156 () (@var "Vt19" tptp.vTerm)) % 34.35/34.78 (define @t157 () (@var "Vt25" tptp.vTerm)) % 34.35/34.78 (define @t158 () (@var "Vt24" tptp.vTerm)) % 34.35/34.78 (define @t159 () (@var "Vt18" tptp.vTerm)) % 34.35/34.78 (define @t160 () (@var "Vt17" tptp.vTerm)) % 34.35/34.78 (define @t161 () (@var "Vot29" tptp.vOptTerm)) % 34.35/34.78 (define @t162 () (@var "Vnv030" tptp.vTerm)) % 34.35/34.78 (define @t163 () (@var "Vot28" tptp.vOptTerm)) % 34.35/34.78 (define @t164 () (@var "Vt16" tptp.vTerm)) % 34.35/34.78 (define @t165 () (@var "Vnv020" tptp.vTerm)) % 34.35/34.78 (define @t166 () (@var "Vnv5" tptp.vTerm)) % 34.35/34.78 (define @t167 () (tptp.vSucc @t166)) % 34.35/34.78 (define @t168 () (@var "Vot27" tptp.vOptTerm)) % 34.35/34.78 (define @t169 () (@var "Vot26" tptp.vOptTerm)) % 34.35/34.78 (define @t170 () (@var "Vnv4" tptp.vTerm)) % 34.35/34.78 (define @t171 () (tptp.vSucc @t170)) % 34.35/34.78 (define @t172 () (@var "Vnv3" tptp.vTerm)) % 34.35/34.78 (define @t173 () (@var "Vt15" tptp.vTerm)) % 34.35/34.78 (define @t174 () (@var "Vot25" tptp.vOptTerm)) % 34.35/34.78 (define @t175 () (@var "Vnv010" tptp.vTerm)) % 34.35/34.78 (define @t176 () (@var "Vot24" tptp.vOptTerm)) % 34.35/34.78 (define @t177 () (@var "Vt14" tptp.vTerm)) % 34.35/34.78 (define @t178 () (@var "Vnv000" tptp.vTerm)) % 34.35/34.78 (define @t179 () (@var "Vnv2" tptp.vTerm)) % 34.35/34.78 (define @t180 () (tptp.vSucc @t179)) % 34.35/34.78 (define @t181 () (@var "Vot23" tptp.vOptTerm)) % 34.35/34.78 (define @t182 () (@var "Vot22" tptp.vOptTerm)) % 34.35/34.78 (define @t183 () (@var "Vnv1" tptp.vTerm)) % 34.35/34.78 (define @t184 () (tptp.vSucc @t183)) % 34.35/34.78 (define @t185 () (@var "Vt13" tptp.vTerm)) % 34.35/34.78 (define @t186 () (@var "Vot21" tptp.vOptTerm)) % 34.35/34.78 (define @t187 () (@var "Vot20" tptp.vOptTerm)) % 34.35/34.78 (define @t188 () (@var "Vt12" tptp.vTerm)) % 34.35/34.78 (define @t189 () (@var "Vt33" tptp.vTerm)) % 34.35/34.78 (define @t190 () (@var "Vt23" tptp.vTerm)) % 34.35/34.78 (define @t191 () (@var "Vt11" tptp.vTerm)) % 34.35/34.78 (define @t192 () (@var "Vot11" tptp.vOptTerm)) % 34.35/34.78 (define @t193 () (@var "Vt3040" tptp.vTerm)) % 34.35/34.78 (define @t194 () (@var "Vt2040" tptp.vTerm)) % 34.35/34.78 (define @t195 () (@var "Vt3030" tptp.vTerm)) % 34.35/34.78 (define @t196 () (@var "Vt2030" tptp.vTerm)) % 34.35/34.78 (define @t197 () (@var "Vt32" tptp.vTerm)) % 34.35/34.78 (define @t198 () (@var "Vot10" tptp.vOptTerm)) % 34.35/34.78 (define @t199 () (@var "Vt3020" tptp.vTerm)) % 34.35/34.78 (define @t200 () (@var "Vt2020" tptp.vTerm)) % 34.35/34.78 (define @t201 () (@var "Vt3010" tptp.vTerm)) % 34.35/34.78 (define @t202 () (@var "Vt2010" tptp.vTerm)) % 34.35/34.78 (define @t203 () (@var "VT" tptp.vTy)) % 34.35/34.78 (define @t204 () (tptp.vptchecksimple @t70 @t203)) % 34.35/34.78 (define @t205 () (tptp.vptchecksimple @t57 @t203)) % 34.35/34.78 (define @t206 () (tptp.vptchecksimple @t56 @t203)) % 34.35/34.78 (define @t207 () (tptp.vptchecksimple @t41 tptp.vB)) % 34.35/34.78 (define @t208 () (and @t207 @t206 @t205)) % 34.35/34.78 (define @t209 () (forall (@list @t41 @t56 @t203 @t57) (=> @t208 @t204))) % 34.35/34.78 (define @t210 () (@list @t41 @t56 @t57 @t203)) % 34.35/34.78 (define @t211 () (forall @t210 (=> @t204 @t207))) % 34.35/34.78 (define @t212 () (forall @t210 (=> @t204 @t206))) % 34.35/34.78 (define @t213 () (forall @t210 (=> @t204 @t205))) % 34.35/34.78 (define @t214 () (= @t203 tptp.vNat)) % 34.35/34.78 (define @t215 () (tptp.vptchecksimple @t93 tptp.vNat)) % 34.35/34.78 (define @t216 () (tptp.vptchecksimple @t41 tptp.vNat)) % 34.35/34.78 (define @t217 () (@list @t41 @t203)) % 34.35/34.78 (define @t218 () (tptp.vptchecksimple @t103 tptp.vNat)) % 34.35/34.78 (define @t219 () (tptp.vptchecksimple @t114 tptp.vB)) % 34.35/34.78 (define @t220 () (tptp.vptchecksimple @t116 tptp.vNat)) % 34.35/34.78 (define @t221 () (tptp.vptchecksimple @t56 tptp.vNat)) % 34.35/34.78 (define @t222 () (@var "Vtres" tptp.vTerm)) % 34.35/34.78 (define @t223 () (tptp.vptchecksimple @t222 @t203)) % 34.35/34.78 (define @t224 () (tptp.vsomeTerm @t222)) % 34.35/34.78 (define @t225 () (tptp.vreduce tptp.vt1)) % 34.35/34.78 (define @t226 () (= @t225 @t224)) % 34.35/34.78 (define @t227 () (tptp.vptchecksimple tptp.vt1 @t203)) % 34.35/34.78 (define @t228 () (and @t227 @t226)) % 34.35/34.78 (define @t229 () (@list @t203 @t222)) % 34.35/34.78 (define @t230 () (forall @t229 (=> @t228 @t223))) % 34.35/34.78 (define @t231 () (tptp.vIfelse tptp.vt1 tptp.vt2 tptp.vt3)) % 34.35/34.78 (define @t232 () (tptp.vreduce @t231)) % 34.35/34.78 (define @t233 () (tptp.vptchecksimple @t231 @t203)) % 34.35/34.78 (define @t234 () (not (= tptp.vt1 tptp.vFalse))) % 34.35/34.78 (define @t235 () (not (= tptp.vt1 tptp.vTrue))) % 34.35/34.78 (define @t236 () (tptp.visSomeTerm @t225)) % 34.35/34.78 (define @t237 () (and @t236 @t235 @t234 @t233 (= @t232 @t224))) % 34.35/34.78 (define @t238 () (=> @t237 @t223)) % 34.35/34.78 (define @t239 () (forall @t229 @t238)) % 34.35/34.78 (define @t240 () (not @t239)) % 34.35/34.78 (define @t241 () (not @t226)) % 34.35/34.78 (define @t242 () (not @t227)) % 34.35/34.78 (define @t243 () (forall @t37 (not (= @t49 @t225)))) % 34.35/34.78 (define @t244 () (@quantifiers_skolemize @t243 0)) % 34.35/34.78 (define @t245 () (= @t49 @t50)) % 34.35/34.78 (define @t246 () (not (forall @t37 (not @t245)))) % 34.35/34.78 (define @t247 () (= @t224 @t232)) % 34.35/34.78 (define @t248 () (not @t247)) % 34.35/34.78 (define @t249 () (not @t233)) % 34.35/34.78 (define @t250 () (or @t249 @t248 @t223)) % 34.35/34.78 (define @t251 () (forall @t229 @t250)) % 34.35/34.78 (define @t252 () (= tptp.vFalse tptp.vt1)) % 34.35/34.78 (define @t253 () (= tptp.vTrue tptp.vt1)) % 34.35/34.78 (define @t254 () (not @t236)) % 34.35/34.78 (define @t255 () (or @t254 @t253 @t252 @t250)) % 34.35/34.78 (define @t256 () (or @t254 @t253 @t252 @t249 @t248 @t223)) % 34.35/34.78 (define @t257 () (not @t252)) % 34.35/34.78 (define @t258 () (not @t257)) % 34.35/34.78 (define @t259 () (not @t253)) % 34.35/34.78 (define @t260 () (not @t259)) % 34.35/34.78 (define @t261 () (or @t254 @t260 @t258 @t249 @t248)) % 34.35/34.78 (define @t262 () (and @t236 @t259 @t257 @t233 @t247)) % 34.35/34.78 (define @t263 () (not @t243)) % 34.35/34.78 (define @t264 () (or @t254 @t263)) % 34.35/34.78 (define @t265 () (@list false false)) % 34.35/34.78 (define @t266 () (tptp.vsomeTerm @t244)) % 34.35/34.78 (define @t267 () (= @t225 @t266)) % 34.35/34.78 (define @t268 () (= @t266 @t225)) % 34.35/34.78 (define @t269 () (not (not @t268))) % 34.35/34.78 (define @t270 () (@list true)) % 34.35/34.78 (define @t271 () (@quantifiers_skolemize @t251 0)) % 34.35/34.78 (define @t272 () (@list tptp.vt1 tptp.vt2 tptp.vt3 @t271)) % 34.35/34.78 (define @t273 () (@quantifiers_skolemize @t251 1)) % 34.35/34.78 (define @t274 () (tptp.vptchecksimple @t273 @t271)) % 34.35/34.78 (define @t275 () (tptp.vsomeTerm @t273)) % 34.35/34.78 (define @t276 () (= @t232 @t275)) % 34.35/34.78 (define @t277 () (not @t276)) % 34.35/34.78 (define @t278 () (tptp.vptchecksimple @t231 @t271)) % 34.35/34.78 (define @t279 () (not @t278)) % 34.35/34.78 (define @t280 () (or @t279 @t277 @t274)) % 34.35/34.78 (define @t281 () (not @t280)) % 34.35/34.78 (define @t282 () (not @t251)) % 34.35/34.78 (define @t283 () (not (= @t275 @t232))) % 34.35/34.78 (define @t284 () (or @t279 @t283 @t274)) % 34.35/34.78 (define @t285 () (not @t284)) % 34.35/34.78 (define @t286 () (@list @t280)) % 34.35/34.78 (define @t287 () (tptp.vptchecksimple tptp.vt1 tptp.vB)) % 34.35/34.78 (define @t288 () (or @t279 @t287)) % 34.35/34.78 (define @t289 () (tptp.vptchecksimple @t244 tptp.vB)) % 34.35/34.78 (define @t290 () (not @t267)) % 34.35/34.78 (define @t291 () (not @t287)) % 34.35/34.78 (define @t292 () (or @t291 @t290 @t289)) % 34.35/34.78 (define @t293 () (tptp.vgetTerm @t225)) % 34.35/34.78 (define @t294 () (tptp.vptchecksimple @t293 tptp.vB)) % 34.35/34.78 (define @t295 () (not @t205)) % 34.35/34.78 (define @t296 () (not @t206)) % 34.35/34.78 (define @t297 () (not @t207)) % 34.35/34.78 (define @t298 () (or @t297 @t296 @t295)) % 34.35/34.78 (define @t299 () (= tptp.vFalse @t41)) % 34.35/34.78 (define @t300 () (= tptp.vTrue @t41)) % 34.35/34.78 (define @t301 () (not @t299)) % 34.35/34.78 (define @t302 () (not @t301)) % 34.35/34.78 (define @t303 () (not @t300)) % 34.35/34.78 (define @t304 () (not @t303)) % 34.35/34.78 (define @t305 () (or @t304 @t302 @t92)) % 34.35/34.78 (define @t306 () (and @t303 @t301 @t73)) % 34.35/34.78 (define @t307 () (not (= @t57 @t57))) % 34.35/34.78 (define @t308 () (@list @t74)) % 34.35/34.78 (define @t309 () (or @t75 @t75)) % 34.35/34.78 (define @t310 () (forall @t308 @t75)) % 34.35/34.78 (define @t311 () (not (= @t56 @t56))) % 34.35/34.78 (define @t312 () (@list @t76)) % 34.35/34.78 (define @t313 () (or @t77 @t77)) % 34.35/34.78 (define @t314 () (forall @t312 @t77)) % 34.35/34.78 (define @t315 () (or @t301 @t314 @t310)) % 34.35/34.78 (define @t316 () (@list @t81)) % 34.35/34.78 (define @t317 () (or @t82 @t82)) % 34.35/34.78 (define @t318 () (forall @t316 @t82)) % 34.35/34.78 (define @t319 () (@list @t83)) % 34.35/34.78 (define @t320 () (or @t84 @t84)) % 34.35/34.78 (define @t321 () (forall @t319 @t84)) % 34.35/34.78 (define @t322 () (or @t303 @t321 @t318)) % 34.35/34.78 (define @t323 () (tptp.vIfelse @t293 tptp.vt2 tptp.vt3)) % 34.35/34.78 (define @t324 () (tptp.vsomeTerm @t323)) % 34.35/34.78 (define @t325 () (= @t232 @t324)) % 34.35/34.78 (define @t326 () (or @t253 @t252 @t254 @t325)) % 34.35/34.78 (define @t327 () (tptp.vptchecksimple @t323 @t271)) % 34.35/34.78 (define @t328 () (tptp.vptchecksimple tptp.vt3 @t271)) % 34.35/34.78 (define @t329 () (or @t279 @t328)) % 34.35/34.78 (define @t330 () (tptp.vptchecksimple tptp.vt2 @t271)) % 34.35/34.78 (define @t331 () (or @t279 @t330)) % 34.35/34.78 (define @t332 () (not @t328)) % 34.35/34.78 (define @t333 () (not @t330)) % 34.35/34.78 (define @t334 () (not @t294)) % 34.35/34.78 (define @t335 () (or @t334 @t333 @t332 @t327)) % 34.35/34.78 (assume @p1 (forall (@list @t4) (or (= @t4 tptp.vTrue) (= @t4 tptp.vFalse) (exists @t12 (= @t4 @t11)) (= @t4 tptp.vZero) (exists @t7 (= @t4 @t9)) (exists @t7 (= @t4 @t8)) (exists @t7 (= @t4 @t6)) (exists @t5 (= @t4 @t3))))) % 34.35/34.78 (assume @p2 (forall (@list @t15 @t10 @t1 @t14 @t2 @t13) (=> (= @t11 (tptp.vIfelse @t15 @t14 @t13)) (and (= @t2 @t15) (= @t1 @t14) (= @t10 @t13))))) % 34.35/34.78 (assume @p3 (forall @t5 (=> (= @t9 (tptp.vSucc @t1)) @t16))) % 34.35/34.78 (assume @p4 (forall @t5 (=> (= @t8 @t17) @t16))) % 34.35/34.78 (assume @p5 (forall @t5 (=> (= @t6 @t18) @t16))) % 34.35/34.78 (assume @p6 (forall @t19 (=> (= @t3 (tptp.vPlus @t10 @t15)) (and (= @t2 @t10) (= @t1 @t15))))) % 34.35/34.78 (assume @p7 (not (= tptp.vTrue tptp.vFalse))) % 34.35/34.78 (assume @p8 (forall @t12 (not (= tptp.vTrue @t11)))) % 34.35/34.78 (assume @p9 (not (= tptp.vTrue tptp.vZero))) % 34.35/34.78 (assume @p10 (forall @t7 (not (= tptp.vTrue @t9)))) % 34.35/34.78 (assume @p11 (forall @t7 (not (= tptp.vTrue @t8)))) % 34.35/34.78 (assume @p12 (forall @t7 (not (= tptp.vTrue @t6)))) % 34.35/34.78 (assume @p13 (forall @t5 (not (= tptp.vTrue @t3)))) % 34.35/34.78 (assume @p14 (forall @t12 (not (= tptp.vFalse @t11)))) % 34.35/34.78 (assume @p15 (not (= tptp.vFalse tptp.vZero))) % 34.35/34.78 (assume @p16 (forall @t7 (not (= tptp.vFalse @t9)))) % 34.35/34.78 (assume @p17 (forall @t7 (not (= tptp.vFalse @t8)))) % 34.35/34.78 (assume @p18 (forall @t7 (not (= tptp.vFalse @t6)))) % 34.35/34.78 (assume @p19 (forall @t5 (not (= tptp.vFalse @t3)))) % 34.35/34.78 (assume @p20 (forall @t12 (not (= @t11 tptp.vZero)))) % 34.35/34.78 (assume @p21 (forall @t19 (not (= @t11 (tptp.vSucc @t15))))) % 34.35/34.78 (assume @p22 (forall @t19 (not (= @t11 (tptp.vPred @t15))))) % 34.35/34.78 (assume @p23 (forall @t19 (not (= @t11 (tptp.vIszero @t15))))) % 34.35/34.78 (assume @p24 (forall (@list @t15 @t10 @t1 @t14 @t2) (not (= @t11 (tptp.vPlus @t15 @t14))))) % 34.35/34.78 (assume @p25 (forall @t7 (not (= tptp.vZero @t9)))) % 34.35/34.78 (assume @p26 (forall @t7 (not (= tptp.vZero @t8)))) % 34.35/34.78 (assume @p27 (forall @t7 (not (= tptp.vZero @t6)))) % 34.35/34.78 (assume @p28 (forall @t5 (not (= tptp.vZero @t3)))) % 34.35/34.78 (assume @p29 (forall @t5 (not (= @t9 @t17)))) % 34.35/34.78 (assume @p30 (forall @t5 (not (= @t9 @t18)))) % 34.35/34.78 (assume @p31 (forall @t12 (not (= @t9 @t20)))) % 34.35/34.78 (assume @p32 (forall @t5 (not (= @t8 @t18)))) % 34.35/34.78 (assume @p33 (forall @t12 (not (= @t8 @t20)))) % 34.35/34.78 (assume @p34 (forall @t12 (not (= @t6 @t20)))) % 34.35/34.78 (assume @p35 (forall (@list @t22) (or (= @t22 tptp.vnoTerm) (exists @t7 (= @t22 @t21))))) % 34.35/34.78 (assume @p36 (forall @t5 (=> (= @t21 (tptp.vsomeTerm @t1)) @t16))) % 34.35/34.78 (assume @p37 (forall @t7 (not (= tptp.vnoTerm @t21)))) % 34.35/34.78 (assume @p38 (forall (@list @t23) (or (= @t23 tptp.vB) (= @t23 tptp.vNat)))) % 34.35/34.78 (assume @p39 (not (= tptp.vB tptp.vNat))) % 34.35/34.78 (assume @p40 @t26) % 34.35/34.78 (assume @p41 (tptp.visNV tptp.vZero)) % 34.35/34.78 (assume @p42 (forall @t30 (= (tptp.visNV @t29) @t28))) % 34.35/34.78 (assume @p43 (forall @t37 (=> (and @t36 @t35) (not (tptp.visNV @t31))))) % 34.35/34.78 (assume @p44 (forall @t7 (=> @t39 (or (= @t2 tptp.vZero) (exists @t30 (and @t38 @t28)))))) % 34.35/34.78 (assume @p45 (forall @t7 (=> (not @t39) (or (exists @t30 (and @t38 @t40)) (exists @t37 (and @t36 @t35 (= @t2 @t31))))))) % 34.35/34.78 (assume @p46 (tptp.visValue tptp.vTrue)) % 34.35/34.78 (assume @p47 (tptp.visValue tptp.vFalse)) % 34.35/34.78 (assume @p48 (forall @t45 (=> (and @t44 @t43) (= (tptp.visValue @t41) @t42)))) % 34.35/34.78 (assume @p49 (forall @t7 (=> @t47 (or (= @t2 tptp.vTrue) (= @t2 tptp.vFalse) (exists @t45 (and @t44 @t43 @t46 @t42)))))) % 34.35/34.78 (assume @p50 (forall @t7 (=> (not @t47) (exists @t45 (and @t44 @t43 @t46 @t48))))) % 34.35/34.78 (assume @p51 (not (tptp.visSomeTerm tptp.vnoTerm))) % 34.35/34.78 (assume @p52 (forall @t37 (tptp.visSomeTerm @t49))) % 34.35/34.78 (assume @p53 @t55) % 34.35/34.78 (assume @p54 (forall @t54 (=> (not @t52) (= @t50 tptp.vnoTerm)))) % 34.35/34.78 (assume @p55 (forall (@list @t56) (= (tptp.vplusop @t56 tptp.vZero) @t56))) % 34.35/34.78 (assume @p56 (forall @t59 (= (tptp.vplusop @t56 (tptp.vSucc @t57)) (tptp.vSucc @t58)))) % 34.35/34.78 (assume @p57 (forall (@list @t57 @t56) (=> (and (not (= @t57 tptp.vZero)) (forall (@list @t60) (not (= @t57 @t61)))) (= @t58 @t57)))) % 34.35/34.78 (assume @p58 (forall @t5 (or (exists (@list @t67) (and (= @t2 @t67) (= @t1 tptp.vZero) (= @t63 @t67))) (exists (@list @t60 @t66) (and (= @t2 @t66) (= @t1 @t61) (= @t63 (tptp.vSucc (tptp.vplusop @t66 @t60))))) (exists (@list @t62 @t64) (and (not (= @t62 tptp.vZero)) (forall (@list @t65) (not (= @t62 (tptp.vSucc @t65)))) (= @t2 @t64) (= @t1 @t62) (= @t63 @t62)))))) % 34.35/34.78 (assume @p59 (forall @t59 (= (tptp.vreduce (tptp.vIfelse tptp.vTrue @t56 @t57)) (tptp.vsomeTerm @t56)))) % 34.35/34.78 (assume @p60 (forall @t59 (= (tptp.vreduce (tptp.vIfelse tptp.vFalse @t56 @t57)) (tptp.vsomeTerm @t57)))) % 34.35/34.78 (assume @p61 @t91) % 34.35/34.78 (assume @p62 (forall @t90 (=> (and @t87 @t80 @t92) (= @t71 tptp.vnoTerm)))) % 34.35/34.78 (assume @p63 (forall @t45 (=> @t73 (= @t94 (tptp.vsomeTerm (tptp.vSucc @t69)))))) % 34.35/34.78 (assume @p64 (forall @t45 (=> @t92 (= @t94 tptp.vnoTerm)))) % 34.35/34.78 (assume @p65 (= (tptp.vreduce @t96) @t95)) % 34.35/34.78 (assume @p66 (forall @t30 (=> @t28 (= @t97 (tptp.vsomeTerm @t27))))) % 34.35/34.78 (assume @p67 (forall @t30 (=> @t101 (= @t97 (tptp.vsomeTerm (tptp.vPred @t99)))))) % 34.35/34.78 (assume @p68 (forall @t30 (=> @t102 (= @t97 tptp.vnoTerm)))) % 34.35/34.78 (assume @p69 (forall @t45 (=> @t108 (= @t104 (tptp.vsomeTerm (tptp.vPred @t69)))))) % 34.35/34.78 (assume @p70 (forall @t45 (=> @t109 (= @t104 tptp.vnoTerm)))) % 34.35/34.78 (assume @p71 (= (tptp.vreduce @t111) @t110)) % 34.35/34.78 (assume @p72 (forall @t30 (=> @t28 (= @t113 @t112)))) % 34.35/34.78 (assume @p73 (forall @t30 (=> @t101 (= @t113 (tptp.vsomeTerm (tptp.vIszero @t99)))))) % 34.35/34.78 (assume @p74 (forall @t30 (=> @t102 (= @t113 tptp.vnoTerm)))) % 34.35/34.78 (assume @p75 (forall @t45 (=> @t108 (= @t115 (tptp.vsomeTerm (tptp.vIszero @t69)))))) % 34.35/34.78 (assume @p76 (forall @t45 (=> @t109 (= @t115 tptp.vnoTerm)))) % 34.35/34.78 (assume @p77 (forall @t119 (=> (and @t42 @t118) (= @t117 (tptp.vsomeTerm (tptp.vplusop @t41 @t56)))))) % 34.35/34.78 (assume @p78 (forall @t119 (=> (and @t42 @t122 @t121) (= @t117 (tptp.vsomeTerm (tptp.vPlus @t41 (tptp.vgetTerm @t120))))))) % 34.35/34.78 (assume @p79 (forall @t119 (=> (and @t42 @t122 (not @t121)) @t123))) % 34.35/34.78 (assume @p80 (forall @t119 (=> (and @t48 @t73) (= @t117 (tptp.vsomeTerm (tptp.vPlus @t69 @t56)))))) % 34.35/34.78 (assume @p81 (forall @t119 (=> (and @t48 @t92) @t123))) % 34.35/34.78 (assume @p82 (forall @t37 (=> (and (forall @t127 (not (= @t31 @t128))) (forall @t127 (not (= @t31 (tptp.vIfelse tptp.vFalse @t67 @t60)))) (forall (@list @t124 @t67 @t60) (not (= @t31 (tptp.vIfelse @t124 @t67 @t60)))) (forall @t125 (not (= @t31 (tptp.vSucc @t124)))) (not (= @t31 @t96)) (forall @t34 (not (= @t31 @t126))) (forall @t125 (not (= @t31 (tptp.vPred @t124)))) (not (= @t31 @t111)) (forall @t34 (not (= @t31 (tptp.vIszero @t33)))) (forall @t125 (not (= @t31 (tptp.vIszero @t124)))) (forall (@list @t124 @t67) (not (= @t31 (tptp.vPlus @t124 @t67))))) (= (tptp.vreduce @t31) tptp.vnoTerm)))) % 34.35/34.78 (assume @p83 (forall @t7 (or (exists @t127 (and (= @t2 @t128) (= @t129 (tptp.vsomeTerm @t67)))) (exists (@list @t66 @t62) (and (= @t2 (tptp.vIfelse tptp.vFalse @t66 @t62)) (= @t129 (tptp.vsomeTerm @t62)))) (exists (@list @t124 @t64 @t197 @t198) (and (forall (@list @t202 @t201) (or (not (= @t124 tptp.vTrue)) (not (= @t64 @t202)) (not (= @t197 @t201)))) (forall (@list @t200 @t199) (or (not (= @t124 tptp.vFalse)) (not (= @t64 @t200)) (not (= @t197 @t199)))) (= @t198 (tptp.vreduce @t124)) (tptp.visSomeTerm @t198) (= @t2 (tptp.vIfelse @t124 @t64 @t197)) (= @t129 (tptp.vsomeTerm (tptp.vIfelse (tptp.vgetTerm @t198) @t64 @t197))))) (exists (@list @t191 @t190 @t189 @t192) (and (forall (@list @t196 @t195) (or (not (= @t191 tptp.vTrue)) (not (= @t190 @t196)) (not (= @t189 @t195)))) (forall (@list @t194 @t193) (or (not (= @t191 tptp.vFalse)) (not (= @t190 @t194)) (not (= @t189 @t193)))) (= @t192 (tptp.vreduce @t191)) (not (tptp.visSomeTerm @t192)) (= @t2 (tptp.vIfelse @t191 @t190 @t189)) @t130)) (exists (@list @t188 @t187) (and (= @t187 (tptp.vreduce @t188)) (tptp.visSomeTerm @t187) (= @t2 (tptp.vSucc @t188)) (= @t129 (tptp.vsomeTerm (tptp.vSucc (tptp.vgetTerm @t187)))))) (exists (@list @t185 @t186) (and (= @t186 (tptp.vreduce @t185)) (not (tptp.visSomeTerm @t186)) (= @t2 (tptp.vSucc @t185)) @t130)) (and (= @t2 @t96) (= @t129 @t95)) (exists @t34 (and (tptp.visNV @t32) (= @t2 @t126) (= @t129 (tptp.vsomeTerm @t32)))) (exists (@list @t183 @t182) (and (not (tptp.visNV @t183)) (= @t182 (tptp.vreduce @t184)) (tptp.visSomeTerm @t182) (= @t2 (tptp.vPred @t184)) (= @t129 (tptp.vsomeTerm (tptp.vPred (tptp.vgetTerm @t182)))))) (exists (@list @t179 @t181) (and (not (tptp.visNV @t179)) (= @t181 (tptp.vreduce @t180)) (not (tptp.visSomeTerm @t181)) (= @t2 (tptp.vPred @t180)) @t130)) (exists (@list @t177 @t176) (and (not (= @t177 tptp.vZero)) (forall (@list @t178) (not (= @t177 (tptp.vSucc @t178)))) (= @t176 (tptp.vreduce @t177)) (tptp.visSomeTerm @t176) (= @t2 (tptp.vPred @t177)) (= @t129 (tptp.vsomeTerm (tptp.vPred (tptp.vgetTerm @t176)))))) (exists (@list @t173 @t174) (and (not (= @t173 tptp.vZero)) (forall (@list @t175) (not (= @t173 (tptp.vSucc @t175)))) (= @t174 (tptp.vreduce @t173)) (not (tptp.visSomeTerm @t174)) (= @t2 (tptp.vPred @t173)) @t130)) (and (= @t2 @t111) (= @t129 @t110)) (exists (@list @t172) (and (tptp.visNV @t172) (= @t2 (tptp.vIszero (tptp.vSucc @t172))) (= @t129 @t112))) (exists (@list @t170 @t169) (and (not (tptp.visNV @t170)) (= @t169 (tptp.vreduce @t171)) (tptp.visSomeTerm @t169) (= @t2 (tptp.vIszero @t171)) (= @t129 (tptp.vsomeTerm (tptp.vIszero (tptp.vgetTerm @t169)))))) (exists (@list @t166 @t168) (and (not (tptp.visNV @t166)) (= @t168 (tptp.vreduce @t167)) (not (tptp.visSomeTerm @t168)) (= @t2 (tptp.vIszero @t167)) @t130)) (exists (@list @t164 @t163) (and (not (= @t164 tptp.vZero)) (forall (@list @t165) (not (= @t164 (tptp.vSucc @t165)))) (= @t163 (tptp.vreduce @t164)) (tptp.visSomeTerm @t163) (= @t2 (tptp.vIszero @t164)) (= @t129 (tptp.vsomeTerm (tptp.vIszero (tptp.vgetTerm @t163)))))) (exists (@list @t160 @t161) (and (not (= @t160 tptp.vZero)) (forall (@list @t162) (not (= @t160 (tptp.vSucc @t162)))) (= @t161 (tptp.vreduce @t160)) (not (tptp.visSomeTerm @t161)) (= @t2 (tptp.vIszero @t160)) @t130)) (exists (@list @t159 @t158) (and (tptp.visNV @t159) (tptp.visNV @t158) (= @t2 (tptp.vPlus @t159 @t158)) (= @t129 (tptp.vsomeTerm (tptp.vplusop @t159 @t158))))) (exists (@list @t156 @t157 @t155) (and (tptp.visNV @t156) (not (tptp.visNV @t157)) (= @t155 (tptp.vreduce @t157)) (tptp.visSomeTerm @t155) (= @t2 (tptp.vPlus @t156 @t157)) (= @t129 (tptp.vsomeTerm (tptp.vPlus @t156 (tptp.vgetTerm @t155)))))) (exists (@list @t153 @t152 @t154) (and (tptp.visNV @t153) (not (tptp.visNV @t152)) (= @t154 (tptp.vreduce @t152)) (not (tptp.visSomeTerm @t154)) (= @t2 (tptp.vPlus @t153 @t152)) @t130)) (exists (@list @t151 @t149 @t150) (and (not (tptp.visNV @t151)) (= @t150 (tptp.vreduce @t151)) (tptp.visSomeTerm @t150) (= @t2 (tptp.vPlus @t151 @t149)) (= @t129 (tptp.vsomeTerm (tptp.vPlus (tptp.vgetTerm @t150) @t149))))) (exists (@list @t147 @t146 @t148) (and (not (tptp.visNV @t147)) (= @t148 (tptp.vreduce @t147)) (not (tptp.visSomeTerm @t148)) (= @t2 (tptp.vPlus @t147 @t146)) @t130)) (exists (@list @t131) (and (forall (@list @t145 @t144) (not (= @t131 (tptp.vIfelse tptp.vTrue @t145 @t144)))) (forall (@list @t143 @t142) (not (= @t131 (tptp.vIfelse tptp.vFalse @t143 @t142)))) (forall (@list @t141 @t140 @t139) (not (= @t131 (tptp.vIfelse @t141 @t140 @t139)))) (forall (@list @t138) (not (= @t131 (tptp.vSucc @t138)))) (not (= @t131 @t96)) (forall (@list @t137) (not (= @t131 (tptp.vPred (tptp.vSucc @t137))))) (forall (@list @t136) (not (= @t131 (tptp.vPred @t136)))) (not (= @t131 @t111)) (forall (@list @t135) (not (= @t131 (tptp.vIszero (tptp.vSucc @t135))))) (forall (@list @t134) (not (= @t131 (tptp.vIszero @t134)))) (forall (@list @t133 @t132) (not (= @t131 (tptp.vPlus @t133 @t132)))) (= @t2 @t131) @t130))))) % 34.35/34.78 (assume @p84 (tptp.vptchecksimple tptp.vTrue tptp.vB)) % 34.35/34.78 (assume @p85 (tptp.vptchecksimple tptp.vFalse tptp.vB)) % 34.35/34.78 (assume @p86 @t209) % 34.35/34.78 (assume @p87 @t211) % 34.35/34.78 (assume @p88 @t212) % 34.35/34.78 (assume @p89 @t213) % 34.35/34.78 (assume @p90 (tptp.vptchecksimple tptp.vZero tptp.vNat)) % 34.35/34.78 (assume @p91 (forall (@list @t203) (=> (tptp.vptchecksimple tptp.vZero @t203) @t214))) % 34.35/34.78 (assume @p92 (forall @t45 (=> @t216 @t215))) % 34.35/34.78 (assume @p93 (forall @t217 (=> (tptp.vptchecksimple @t93 @t203) @t214))) % 34.35/34.78 (assume @p94 (forall @t45 (=> @t215 @t216))) % 34.35/34.78 (assume @p95 (forall @t45 (=> @t216 @t218))) % 34.35/34.78 (assume @p96 (forall @t45 (=> @t218 @t216))) % 34.35/34.78 (assume @p97 (forall @t217 (=> (tptp.vptchecksimple @t103 @t203) @t214))) % 34.35/34.78 (assume @p98 (forall @t45 (=> @t216 @t219))) % 34.35/34.78 (assume @p99 (forall @t45 (=> @t219 @t216))) % 34.35/34.78 (assume @p100 (forall @t217 (=> (tptp.vptchecksimple @t114 @t203) (= @t203 tptp.vB)))) % 34.35/34.78 (assume @p101 (forall @t119 (=> (and @t216 @t221) @t220))) % 34.35/34.78 (assume @p102 (forall (@list @t41 @t56 @t203) (=> (tptp.vptchecksimple @t116 @t203) @t214))) % 34.35/34.78 (assume @p103 (forall @t119 (=> @t220 @t216))) % 34.35/34.78 (assume @p104 (forall @t119 (=> @t220 @t221))) % 34.35/34.78 (assume @p105 @t230) % 34.35/34.78 (assume @p106 (forall @t229 (=> (and (tptp.vptchecksimple tptp.vt2 @t203) (= (tptp.vreduce tptp.vt2) @t224)) @t223))) % 34.35/34.78 (assume @p107 (forall @t229 (=> (and (tptp.vptchecksimple tptp.vt3 @t203) (= (tptp.vreduce tptp.vt3) @t224)) @t223))) % 34.35/34.78 (assume @p108 @t240) % 34.35/34.78 (assume @p109 true) % 34.35/34.78 (step @p110 :rule evaluate :args ((= false true))) % 34.35/34.78 (step @p111 :rule aci_norm :args ((= (or (or @t242 @t241) @t223) (or @t242 @t241 @t223)))) % 34.35/34.78 (step @p112 :rule refl :args (@t223)) % 34.35/34.78 (step @p113 :rule bool-and-de-morgan :args (@t227 @t226 true)) % 34.35/34.78 (step @p114 :rule nary_cong :premises (@p113 @p112) :args ((or (not @t228) @t223))) % 34.35/34.78 (step @p115 :rule trans :premises (@p114 @p111)) % 34.35/34.78 (step @p116 :rule bool-impl-elim :args (@t228 @t223)) % 34.35/34.78 (step @p117 :rule trans :premises (@p116 @p115)) % 34.35/34.78 (step @p118 :rule cong :premises (@p117) :args (@t230)) % 34.35/34.78 (step @p119 :rule eq_resolve :premises (@p105 @p118)) % 34.35/34.78 (step @p120 :rule instantiate :premises (@p119) :args ((@list tptp.vB @t244))) % 34.35/34.78 (step @p121 :rule bool-impl-elim :args (@t52 @t246)) % 34.35/34.78 (step @p122 :rule cong :premises (@p121) :args ((forall @t54 (=> @t52 @t246)))) % 34.35/34.78 (step @p123 :rule exists-elim :args ((= (exists @t37 @t245) @t246))) % 34.35/34.78 (step @p124 :rule eq-symm :args (@t50 @t49)) % 34.35/34.78 (step @p125 :rule cong :premises (@p124) :args (@t51)) % 34.35/34.78 (step @p126 :rule trans :premises (@p125 @p123)) % 34.35/34.78 (step @p127 :rule refl :args (@t52)) % 34.35/34.78 (step @p128 :rule cong :premises (@p127 @p126) :args (@t53)) % 34.35/34.78 (step @p129 :rule cong :premises (@p128) :args (@t55)) % 34.35/34.78 (step @p130 :rule trans :premises (@p129 @p122)) % 34.35/34.78 (step @p131 :rule eq_resolve :premises (@p53 @p130)) % 34.35/34.78 (step @p132 :rule instantiate :premises (@p131) :args ((@list @t225))) % 34.35/34.78 (step @p133 :rule quant-miniscope-or :args ((= (forall @t229 @t255) (or @t254 @t253 @t252 @t251)))) % 34.35/34.78 (step @p134 :rule aci_norm :args ((= @t256 @t255))) % 34.35/34.78 (step @p135 :rule cong :premises (@p134) :args ((forall @t229 @t256))) % 34.35/34.78 (step @p136 :rule trans :premises (@p135 @p133)) % 34.35/34.78 (step @p137 :rule aci_norm :args ((= (or (or @t254 @t253 @t252 @t249 @t248) @t223) @t256))) % 34.35/34.78 (step @p138 :rule refl :args (@t248)) % 34.35/34.78 (step @p139 :rule refl :args (@t249)) % 34.35/34.78 (step @p140 :rule bool-double-not-elim :args (@t252)) % 34.35/34.78 (step @p141 :rule bool-double-not-elim :args (@t253)) % 34.35/34.78 (step @p142 :rule refl :args (@t254)) % 34.35/34.78 (step @p143 :rule nary_cong :premises (@p142 @p141 @p140 @p139 @p138) :args (@t261)) % 34.35/34.78 (step @p144 :rule aci_norm :args ((= (or @t254 (or @t260 (or @t258 (or @t249 @t248)))) @t261))) % 34.35/34.78 (step @p145 :rule trans :premises (@p144 @p143)) % 34.35/34.78 (step @p146 :rule bool-and-de-morgan :args (@t233 @t247 true)) % 34.35/34.78 (step @p147 :rule refl :args (@t258)) % 34.35/34.78 (step @p148 :rule nary_cong :premises (@p147 @p146) :args ((or @t258 (not (and @t233 @t247))))) % 34.35/34.78 (step @p149 :rule bool-and-de-morgan :args (@t257 @t233 (and @t247))) % 34.35/34.78 (step @p150 :rule trans :premises (@p149 @p148)) % 34.35/34.78 (step @p151 :rule refl :args (@t260)) % 34.35/34.78 (step @p152 :rule nary_cong :premises (@p151 @p150) :args ((or @t260 (not (and @t257 @t233 @t247))))) % 34.35/34.78 (step @p153 :rule bool-and-de-morgan :args (@t259 @t257 (and @t233 @t247))) % 34.35/34.78 (step @p154 :rule trans :premises (@p153 @p152)) % 34.35/34.78 (step @p155 :rule nary_cong :premises (@p142 @p154) :args ((or @t254 (not (and @t259 @t257 @t233 @t247))))) % 34.35/34.78 (step @p156 :rule bool-and-de-morgan :args (@t236 @t259 (and @t257 @t233 @t247))) % 34.35/34.78 (step @p157 :rule trans :premises (@p156 @p155)) % 34.35/34.78 (step @p158 :rule trans :premises (@p157 @p145)) % 34.35/34.78 (step @p159 :rule nary_cong :premises (@p158 @p112) :args ((or (not @t262) @t223))) % 34.35/34.78 (step @p160 :rule trans :premises (@p159 @p137)) % 34.35/34.78 (step @p161 :rule bool-impl-elim :args (@t262 @t223)) % 34.35/34.78 (step @p162 :rule trans :premises (@p161 @p160)) % 34.35/34.78 (step @p163 :rule cong :premises (@p162) :args ((forall @t229 (=> @t262 @t223)))) % 34.35/34.78 (step @p164 :rule trans :premises (@p163 @p136)) % 34.35/34.78 (step @p165 :rule refl :args (@t223)) % 34.35/34.78 (step @p166 :rule eq-symm :args (@t232 @t224)) % 34.35/34.78 (step @p167 :rule refl :args (@t233)) % 34.35/34.78 (step @p168 :rule eq-symm :args (tptp.vt1 tptp.vFalse)) % 34.35/34.78 (step @p169 :rule cong :premises (@p168) :args (@t234)) % 34.35/34.78 (step @p170 :rule eq-symm :args (tptp.vt1 tptp.vTrue)) % 34.35/34.78 (step @p171 :rule cong :premises (@p170) :args (@t235)) % 34.35/34.78 (step @p172 :rule refl :args (@t236)) % 34.35/34.78 (step @p173 :rule nary_cong :premises (@p172 @p171 @p169 @p167 @p166) :args (@t237)) % 34.35/34.78 (step @p174 :rule cong :premises (@p173 @p165) :args (@t238)) % 34.35/34.78 (step @p175 :rule cong :premises (@p174) :args (@t239)) % 34.35/34.78 (step @p176 :rule trans :premises (@p175 @p164)) % 34.35/34.78 (step @p177 :rule cong :premises (@p176) :args (@t240)) % 34.35/34.78 (step @p178 :rule eq_resolve :premises (@p108 @p177)) % 34.35/34.78 (step @p179 :rule not_or_elim :premises (@p178) :args (0)) % 34.35/34.78 (step @p180 :rule not_not_elim :premises (@p179)) % 34.35/34.78 (step @p181 :rule cnf_or_pos :args (@t264)) % 34.35/34.78 (step @p182 :rule reordering :premises (@p181) :args ((or @t254 @t263 (not @t264)))) % 34.35/34.78 (step @p183 :rule chain_m_resolution :premises (@p182 @p180 @p132) :args (@t263 @t265 (@list @t236 @t264))) % 34.35/34.78 (step @p184 :rule refl :args (@t267)) % 34.35/34.78 (step @p185 :rule bool-double-not-elim :args (@t243)) % 34.35/34.78 (step @p186 :rule nary_cong :premises (@p185 @p184) :args ((or (not @t263) @t267))) % 34.35/34.78 (step @p187 :rule eq-symm :args (@t266 @t225)) % 34.35/34.78 (step @p188 :rule bool-double-not-elim :args (@t268)) % 34.35/34.78 (step @p189 :rule trans :premises (@p188 @p187)) % 34.35/34.78 (step @p190 :rule refl :args (@t263)) % 34.35/34.78 (step @p191 :rule cong :premises (@p190 @p189) :args ((=> @t263 @t269))) % 34.35/34.78 (assume-push @p409 @t263) % 34.35/34.78 (step @p193 :rule skolemize :premises (@p183)) % 34.35/34.78 (step-pop @p410 :rule scope :premises (@p193)) % 34.35/34.78 (step @p194 :rule process_scope :premises (@p410) :args (@t269)) % 34.35/34.78 (step @p196 :rule eq_resolve :premises (@p194 @p191)) % 34.35/34.78 (step @p197 :rule implies_elim :premises (@p196)) % 34.35/34.78 (step @p198 :rule eq_resolve :premises (@p197 @p186)) % 34.35/34.78 (step @p199 :rule chain_m_resolution :premises (@p198 @p183) :args (@t267 @t270 (@list @t243))) % 34.35/34.78 (step @p200 :rule bool-impl-elim :args (@t204 @t207)) % 34.35/34.78 (step @p201 :rule cong :premises (@p200) :args (@t211)) % 34.35/34.78 (step @p202 :rule eq_resolve :premises (@p87 @p201)) % 34.35/34.78 (step @p203 :rule instantiate :premises (@p202) :args (@t272)) % 34.35/34.78 (step @p204 :rule not_or_elim :premises (@p178) :args (3)) % 34.35/34.78 (step @p205 :rule refl :args (@t281)) % 34.35/34.78 (step @p206 :rule bool-double-not-elim :args (@t251)) % 34.35/34.78 (step @p207 :rule nary_cong :premises (@p206 @p205) :args ((or (not @t282) @t281))) % 34.35/34.78 (step @p208 :rule refl :args (@t274)) % 34.35/34.78 (step @p209 :rule eq-symm :args (@t275 @t232)) % 34.35/34.78 (step @p210 :rule cong :premises (@p209) :args (@t283)) % 34.35/34.78 (step @p211 :rule refl :args (@t279)) % 34.35/34.78 (step @p212 :rule nary_cong :premises (@p211 @p210 @p208) :args (@t284)) % 34.35/34.78 (step @p213 :rule cong :premises (@p212) :args (@t285)) % 34.35/34.78 (step @p214 :rule refl :args (@t282)) % 34.35/34.78 (step @p215 :rule cong :premises (@p214 @p213) :args ((=> @t282 @t285))) % 34.35/34.78 (assume-push @p411 @t282) % 34.35/34.78 (step @p217 :rule skolemize :premises (@p204)) % 34.35/34.78 (step-pop @p412 :rule scope :premises (@p217)) % 34.35/34.78 (step @p218 :rule process_scope :premises (@p412) :args (@t285)) % 34.35/34.78 (step @p220 :rule eq_resolve :premises (@p218 @p215)) % 34.35/34.78 (step @p221 :rule implies_elim :premises (@p220)) % 34.35/34.78 (step @p222 :rule eq_resolve :premises (@p221 @p207)) % 34.35/34.78 (step @p223 :rule chain_m_resolution :premises (@p222 @p204) :args (@t281 @t270 (@list @t251))) % 34.35/34.78 (step @p224 :rule bool-double-not-elim :args (@t278)) % 34.35/34.78 (step @p225 :rule refl :args (@t280)) % 34.35/34.78 (step @p226 :rule nary_cong :premises (@p225 @p224) :args ((or @t280 (not @t279)))) % 34.35/34.78 (step @p227 :rule cnf_or_neg :args (@t280 0)) % 34.35/34.78 (step @p228 :rule eq_resolve :premises (@p227 @p226)) % 34.35/34.78 (step @p229 :rule reordering :premises (@p228) :args ((or @t278 @t280))) % 34.35/34.78 (step @p230 :rule chain_m_resolution :premises (@p229 @p223) :args (@t278 @t270 @t286)) % 34.35/34.78 (step @p231 :rule cnf_or_pos :args (@t288)) % 34.35/34.78 (step @p232 :rule reordering :premises (@p231) :args ((or @t279 @t287 (not @t288)))) % 34.35/34.78 (step @p233 :rule chain_m_resolution :premises (@p232 @p230 @p203) :args (@t287 @t265 (@list @t278 @t288))) % 34.35/34.78 (step @p234 :rule cnf_or_pos :args (@t292)) % 34.35/34.78 (step @p235 :rule reordering :premises (@p234) :args ((or @t291 @t290 @t289 (not @t292)))) % 34.35/34.78 (step @p236 :rule chain_m_resolution :premises (@p235 @p233 @p199 @p120) :args (@t289 (@list false false false) (@list @t287 @t267 @t292))) % 34.35/34.78 (step @p237 :rule true_intro :premises (@p236)) % 34.35/34.78 (step @p238 :rule refl :args (tptp.vB)) % 34.35/34.78 (step @p239 :rule eq-symm :args (@t25 @t24)) % 34.35/34.78 (step @p240 :rule cong :premises (@p239) :args (@t26)) % 34.35/34.78 (step @p241 :rule eq_resolve :premises (@p40 @p240)) % 34.35/34.78 (step @p242 :rule instantiate :premises (@p241) :args ((@list @t244))) % 34.35/34.78 (step @p243 :rule symm :premises (@p242)) % 34.35/34.78 (step @p244 :rule cong :premises (@p199) :args (@t293)) % 34.35/34.78 (step @p245 :rule trans :premises (@p244 @p243)) % 34.35/34.78 (step @p246 :rule cong :premises (@p245 @p238) :args (@t294)) % 34.35/34.78 (step @p247 :rule aci_norm :args ((= (or @t298 @t204) (or @t297 @t296 @t295 @t204)))) % 34.35/34.78 (step @p248 :rule refl :args (@t204)) % 34.35/34.78 (step @p249 :rule aci_norm :args ((= (or @t297 (or @t296 @t295)) @t298))) % 34.35/34.78 (step @p250 :rule bool-and-de-morgan :args (@t206 @t205 true)) % 34.35/34.78 (step @p251 :rule refl :args (@t297)) % 34.35/34.78 (step @p252 :rule nary_cong :premises (@p251 @p250) :args ((or @t297 (not (and @t206 @t205))))) % 34.35/34.78 (step @p253 :rule bool-and-de-morgan :args (@t207 @t206 (and @t205))) % 34.35/34.78 (step @p254 :rule trans :premises (@p253 @p252)) % 34.35/34.78 (step @p255 :rule trans :premises (@p254 @p249)) % 34.35/34.78 (step @p256 :rule nary_cong :premises (@p255 @p248) :args ((or (not @t208) @t204))) % 34.35/34.78 (step @p257 :rule trans :premises (@p256 @p247)) % 34.35/34.78 (step @p258 :rule bool-impl-elim :args (@t208 @t204)) % 34.35/34.78 (step @p259 :rule trans :premises (@p258 @p257)) % 34.35/34.78 (step @p260 :rule cong :premises (@p259) :args (@t209)) % 34.35/34.78 (step @p261 :rule eq_resolve :premises (@p86 @p260)) % 34.35/34.78 (step @p262 :rule instantiate :premises (@p261) :args ((@list @t293 tptp.vt2 @t271 tptp.vt3))) % 34.35/34.78 (step @p263 :rule cnf_or_neg :args (@t280 2)) % 34.35/34.78 (step @p264 :rule chain_m_resolution :premises (@p263 @p223) :args ((not @t274) @t270 @t286)) % 34.35/34.78 (step @p265 :rule false_intro :premises (@p264)) % 34.35/34.78 (step @p266 :rule refl :args (@t271)) % 34.35/34.78 (step @p267 :rule instantiate :premises (@p241) :args ((@list @t273))) % 34.35/34.78 (step @p268 :rule symm :premises (@p267)) % 34.35/34.78 (step @p269 :rule bool-double-not-elim :args (@t276)) % 34.35/34.78 (step @p270 :rule nary_cong :premises (@p225 @p269) :args ((or @t280 (not @t277)))) % 34.35/34.78 (step @p271 :rule cnf_or_neg :args (@t280 1)) % 34.35/34.78 (step @p272 :rule eq_resolve :premises (@p271 @p270)) % 34.35/34.78 (step @p273 :rule reordering :premises (@p272) :args ((or @t276 @t280))) % 34.35/34.78 (step @p274 :rule chain_m_resolution :premises (@p273 @p223) :args (@t276 @t270 @t286)) % 34.35/34.78 (step @p275 :rule aci_norm :args ((= (or (or @t300 @t299 @t92) @t72) (or @t300 @t299 @t92 @t72)))) % 34.35/34.78 (step @p276 :rule refl :args (@t72)) % 34.35/34.78 (step @p277 :rule refl :args (@t92)) % 34.35/34.78 (step @p278 :rule bool-double-not-elim :args (@t299)) % 34.35/34.78 (step @p279 :rule bool-double-not-elim :args (@t300)) % 34.35/34.78 (step @p280 :rule nary_cong :premises (@p279 @p278 @p277) :args (@t305)) % 34.35/34.78 (step @p281 :rule aci_norm :args ((= (or @t304 (or @t302 @t92)) @t305))) % 34.35/34.78 (step @p282 :rule trans :premises (@p281 @p280)) % 34.35/34.78 (step @p283 :rule bool-and-de-morgan :args (@t301 @t73 true)) % 34.35/34.78 (step @p284 :rule refl :args (@t304)) % 34.35/34.78 (step @p285 :rule nary_cong :premises (@p284 @p283) :args ((or @t304 (not (and @t301 @t73))))) % 34.35/34.78 (step @p286 :rule bool-and-de-morgan :args (@t303 @t301 (and @t73))) % 34.35/34.78 (step @p287 :rule trans :premises (@p286 @p285)) % 34.35/34.78 (step @p288 :rule trans :premises (@p287 @p282)) % 34.35/34.78 (step @p289 :rule nary_cong :premises (@p288 @p276) :args ((or (not @t306) @t72))) % 34.35/34.78 (step @p290 :rule trans :premises (@p289 @p275)) % 34.35/34.78 (step @p291 :rule bool-impl-elim :args (@t306 @t72)) % 34.35/34.78 (step @p292 :rule trans :premises (@p291 @p290)) % 34.35/34.78 (step @p293 :rule cong :premises (@p292) :args ((forall @t90 (=> @t306 @t72)))) % 34.35/34.78 (step @p294 :rule refl :args (@t72)) % 34.35/34.78 (step @p295 :rule refl :args (@t73)) % 34.35/34.78 (step @p296 :rule aci_norm :args ((= (or @t301 false false) @t301))) % 34.35/34.78 (step @p297 :rule evaluate :args ((not true))) % 34.35/34.78 (step @p298 :rule eq-refl :args (@t57)) % 34.35/34.78 (step @p299 :rule cong :premises (@p298) :args (@t307)) % 34.35/34.78 (step @p300 :rule trans :premises (@p299 @p297)) % 34.35/34.78 (step @p301 :rule quant-var-elim-eq :args ((= (forall @t308 (or (not (= @t74 @t57)) @t75)) @t307))) % 34.35/34.78 (step @p302 :rule refl :args (@t75)) % 34.35/34.78 (step @p303 :rule eq-symm :args (@t57 @t74)) % 34.35/34.78 (step @p304 :rule cong :premises (@p303) :args (@t75)) % 34.35/34.78 (step @p305 :rule nary_cong :premises (@p304 @p302) :args (@t309)) % 34.35/34.78 (step @p306 :rule aci_norm :args ((= @t75 @t309))) % 34.35/34.78 (step @p307 :rule trans :premises (@p306 @p305)) % 34.35/34.78 (step @p308 :rule cong :premises (@p307) :args (@t310)) % 34.35/34.78 (step @p309 :rule trans :premises (@p308 @p301)) % 34.35/34.78 (step @p310 :rule trans :premises (@p309 @p300)) % 34.35/34.78 (step @p311 :rule eq-refl :args (@t56)) % 34.35/34.78 (step @p312 :rule cong :premises (@p311) :args (@t311)) % 34.35/34.78 (step @p313 :rule trans :premises (@p312 @p297)) % 34.35/34.78 (step @p314 :rule quant-var-elim-eq :args ((= (forall @t312 (or (not (= @t76 @t56)) @t77)) @t311))) % 34.35/34.78 (step @p315 :rule refl :args (@t77)) % 34.35/34.78 (step @p316 :rule eq-symm :args (@t56 @t76)) % 34.35/34.78 (step @p317 :rule cong :premises (@p316) :args (@t77)) % 34.35/34.78 (step @p318 :rule nary_cong :premises (@p317 @p315) :args (@t313)) % 34.35/34.78 (step @p319 :rule aci_norm :args ((= @t77 @t313))) % 34.35/34.78 (step @p320 :rule trans :premises (@p319 @p318)) % 34.35/34.78 (step @p321 :rule cong :premises (@p320) :args (@t314)) % 34.35/34.78 (step @p322 :rule trans :premises (@p321 @p314)) % 34.35/34.78 (step @p323 :rule trans :premises (@p322 @p313)) % 34.35/34.78 (step @p324 :rule refl :args (@t301)) % 34.35/34.78 (step @p325 :rule nary_cong :premises (@p324 @p323 @p310) :args (@t315)) % 34.35/34.78 (step @p326 :rule trans :premises (@p325 @p296)) % 34.35/34.78 (step @p327 :rule quant-miniscope-or :args ((= (forall @t79 (or @t301 @t77 @t75)) @t315))) % 34.35/34.78 (step @p328 :rule trans :premises (@p327 @p326)) % 34.35/34.78 (step @p329 :rule refl :args (@t75)) % 34.35/34.78 (step @p330 :rule refl :args (@t77)) % 34.35/34.78 (step @p331 :rule eq-symm :args (@t41 tptp.vFalse)) % 34.35/34.78 (step @p332 :rule cong :premises (@p331) :args (@t43)) % 34.35/34.78 (step @p333 :rule nary_cong :premises (@p332 @p330 @p329) :args (@t78)) % 34.35/34.78 (step @p334 :rule cong :premises (@p333) :args (@t80)) % 34.35/34.78 (step @p335 :rule trans :premises (@p334 @p328)) % 34.35/34.78 (step @p336 :rule aci_norm :args ((= (or @t303 false false) @t303))) % 34.35/34.78 (step @p337 :rule quant-var-elim-eq :args ((= (forall @t316 (or (not (= @t81 @t57)) @t82)) @t307))) % 34.35/34.78 (step @p338 :rule refl :args (@t82)) % 34.35/34.78 (step @p339 :rule eq-symm :args (@t57 @t81)) % 34.35/34.78 (step @p340 :rule cong :premises (@p339) :args (@t82)) % 34.35/34.78 (step @p341 :rule nary_cong :premises (@p340 @p338) :args (@t317)) % 34.35/34.78 (step @p342 :rule aci_norm :args ((= @t82 @t317))) % 34.35/34.78 (step @p343 :rule trans :premises (@p342 @p341)) % 34.35/34.78 (step @p344 :rule cong :premises (@p343) :args (@t318)) % 34.35/34.78 (step @p345 :rule trans :premises (@p344 @p337)) % 34.35/34.78 (step @p346 :rule trans :premises (@p345 @p300)) % 34.35/34.78 (step @p347 :rule quant-var-elim-eq :args ((= (forall @t319 (or (not (= @t83 @t56)) @t84)) @t311))) % 34.35/34.78 (step @p348 :rule refl :args (@t84)) % 34.35/34.78 (step @p349 :rule eq-symm :args (@t56 @t83)) % 34.35/34.78 (step @p350 :rule cong :premises (@p349) :args (@t84)) % 34.35/34.78 (step @p351 :rule nary_cong :premises (@p350 @p348) :args (@t320)) % 34.35/34.78 (step @p352 :rule aci_norm :args ((= @t84 @t320))) % 34.35/34.78 (step @p353 :rule trans :premises (@p352 @p351)) % 34.35/34.78 (step @p354 :rule cong :premises (@p353) :args (@t321)) % 34.35/34.78 (step @p355 :rule trans :premises (@p354 @p347)) % 34.35/34.78 (step @p356 :rule trans :premises (@p355 @p313)) % 34.35/34.78 (step @p357 :rule refl :args (@t303)) % 34.35/34.78 (step @p358 :rule nary_cong :premises (@p357 @p356 @p346) :args (@t322)) % 34.35/34.78 (step @p359 :rule trans :premises (@p358 @p336)) % 34.35/34.78 (step @p360 :rule quant-miniscope-or :args ((= (forall @t86 (or @t303 @t84 @t82)) @t322))) % 34.35/34.78 (step @p361 :rule trans :premises (@p360 @p359)) % 34.35/34.78 (step @p362 :rule refl :args (@t82)) % 34.35/34.78 (step @p363 :rule refl :args (@t84)) % 34.35/34.78 (step @p364 :rule eq-symm :args (@t41 tptp.vTrue)) % 34.35/34.78 (step @p365 :rule cong :premises (@p364) :args (@t44)) % 34.35/34.78 (step @p366 :rule nary_cong :premises (@p365 @p363 @p362) :args (@t85)) % 34.35/34.78 (step @p367 :rule cong :premises (@p366) :args (@t87)) % 34.35/34.78 (step @p368 :rule trans :premises (@p367 @p361)) % 34.35/34.78 (step @p369 :rule nary_cong :premises (@p368 @p335 @p295) :args (@t88)) % 34.35/34.78 (step @p370 :rule cong :premises (@p369 @p294) :args (@t89)) % 34.35/34.78 (step @p371 :rule cong :premises (@p370) :args (@t91)) % 34.35/34.78 (step @p372 :rule trans :premises (@p371 @p293)) % 34.35/34.78 (step @p373 :rule eq_resolve :premises (@p61 @p372)) % 34.35/34.78 (step @p374 :rule instantiate :premises (@p373) :args ((@list tptp.vt1 tptp.vt2 tptp.vt3))) % 34.35/34.78 (step @p375 :rule not_or_elim :premises (@p178) :args (2)) % 34.35/34.78 (step @p376 :rule not_or_elim :premises (@p178) :args (1)) % 34.35/34.78 (step @p377 :rule cnf_or_pos :args (@t326)) % 34.35/34.78 (step @p378 :rule reordering :premises (@p377) :args ((or @t253 @t252 @t254 @t325 (not @t326)))) % 34.35/34.78 (step @p379 :rule chain_m_resolution :premises (@p378 @p376 @p375 @p180 @p374) :args (@t325 (@list true true false false) (@list @t253 @t252 @t236 @t326))) % 34.35/34.78 (step @p380 :rule symm :premises (@p379)) % 34.35/34.78 (step @p381 :rule trans :premises (@p380 @p274)) % 34.35/34.78 (step @p382 :rule cong :premises (@p381) :args ((tptp.vgetTerm @t324))) % 34.35/34.78 (step @p383 :rule instantiate :premises (@p241) :args ((@list @t323))) % 34.35/34.78 (step @p384 :rule trans :premises (@p383 @p382 @p268)) % 34.35/34.78 (step @p385 :rule cong :premises (@p384 @p266) :args (@t327)) % 34.35/34.78 (step @p386 :rule trans :premises (@p385 @p265)) % 34.35/34.78 (step @p387 :rule false_elim :premises (@p386)) % 34.35/34.78 (step @p388 :rule bool-impl-elim :args (@t204 @t205)) % 34.35/34.78 (step @p389 :rule cong :premises (@p388) :args (@t213)) % 34.35/34.78 (step @p390 :rule eq_resolve :premises (@p89 @p389)) % 34.35/34.78 (step @p391 :rule instantiate :premises (@p390) :args (@t272)) % 34.35/34.78 (step @p392 :rule cnf_or_pos :args (@t329)) % 34.35/34.78 (step @p393 :rule reordering :premises (@p392) :args ((or @t279 @t328 (not @t329)))) % 34.35/34.78 (step @p394 :rule chain_m_resolution :premises (@p393 @p230 @p391) :args (@t328 @t265 (@list @t278 @t329))) % 34.35/34.78 (step @p395 :rule bool-impl-elim :args (@t204 @t206)) % 34.35/34.78 (step @p396 :rule cong :premises (@p395) :args (@t212)) % 34.35/34.78 (step @p397 :rule eq_resolve :premises (@p88 @p396)) % 34.35/34.78 (step @p398 :rule instantiate :premises (@p397) :args (@t272)) % 34.35/34.78 (step @p399 :rule cnf_or_pos :args (@t331)) % 34.35/34.78 (step @p400 :rule reordering :premises (@p399) :args ((or @t279 @t330 (not @t331)))) % 34.35/34.78 (step @p401 :rule chain_m_resolution :premises (@p400 @p230 @p398) :args (@t330 @t265 (@list @t278 @t331))) % 34.35/34.78 (step @p402 :rule cnf_or_pos :args (@t335)) % 34.35/34.78 (step @p403 :rule reordering :premises (@p402) :args ((or @t333 @t332 @t334 @t327 (not @t335)))) % 34.35/34.78 (step @p404 :rule chain_m_resolution :premises (@p403 @p401 @p394 @p387 @p262) :args (@t334 (@list false false true false) (@list @t330 @t328 @t327 @t335))) % 34.35/34.78 (step @p405 :rule false_intro :premises (@p404)) % 34.35/34.78 (step @p406 :rule symm :premises (@p405)) % 34.35/34.78 (step @p407 :rule trans :premises (@p406 @p246 @p237)) % 34.35/34.78 (step @p408 false :rule eq_resolve :premises (@p407 @p110)) % 34.35/34.78 ) % 34.35/34.78 % SZS output end Proof % 34.35/34.78 % cvc5 exiting %------------------------------------------------------------------------------