%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : COM226_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 : n009.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 08:10:41 AM UTC 2026 % Result : Theorem 1.14s 1.36s % Output : Proof 1.14s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : COM226_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 % 0.17/0.34 % Computer : n009.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 20:31:59 EDT 2026 % 0.17/0.34 % CPUTime : % 0.31/0.51 %----Proving TF0_NAR, FOF, or CNF % 1.14/1.36 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.14/1.36 % SZS status Theorem % 1.14/1.36 % SZS output start Proof % 1.14/1.36 ( % 1.14/1.36 (declare-sort tptp.vTy 0) % 1.14/1.36 (declare-sort tptp.vOptTerm 0) % 1.14/1.36 (declare-sort tptp.vTerm 0) % 1.14/1.36 (declare-const tptp.vt1 tptp.vTerm) % 1.14/1.36 (declare-const tptp.vptchecksimple (-> tptp.vTerm tptp.vTy Bool)) % 1.14/1.36 (declare-const tptp.vreduce (-> tptp.vTerm tptp.vOptTerm)) % 1.14/1.36 (declare-const tptp.vplusop (-> tptp.vTerm tptp.vTerm tptp.vTerm)) % 1.14/1.36 (declare-const tptp.visSomeTerm (-> tptp.vOptTerm Bool)) % 1.14/1.36 (declare-const tptp.visValue (-> tptp.vTerm Bool)) % 1.14/1.36 (declare-const tptp.visNV (-> tptp.vTerm Bool)) % 1.14/1.36 (declare-const tptp.vPlus (-> tptp.vTerm tptp.vTerm tptp.vTerm)) % 1.14/1.36 (declare-const tptp.vIszero (-> tptp.vTerm tptp.vTerm)) % 1.14/1.36 (declare-const tptp.vPred (-> tptp.vTerm tptp.vTerm)) % 1.14/1.36 (declare-const tptp.vSucc (-> tptp.vTerm tptp.vTerm)) % 1.14/1.36 (declare-const tptp.vIfelse (-> tptp.vTerm tptp.vTerm tptp.vTerm tptp.vTerm)) % 1.14/1.36 (declare-const tptp.vZero tptp.vTerm) % 1.14/1.36 (declare-const tptp.vFalse tptp.vTerm) % 1.14/1.36 (declare-const tptp.vTrue tptp.vTerm) % 1.14/1.36 (declare-const tptp.vsomeTerm (-> tptp.vTerm tptp.vOptTerm)) % 1.14/1.36 (declare-const tptp.vnoTerm tptp.vOptTerm) % 1.14/1.36 (declare-const tptp.vNat tptp.vTy) % 1.14/1.36 (declare-const tptp.vB tptp.vTy) % 1.14/1.36 (declare-const tptp.vgetTerm (-> tptp.vOptTerm tptp.vTerm)) % 1.14/1.36 (define @t1 () (@var "VTerm1" tptp.vTerm)) % 1.14/1.36 (define @t2 () (@var "VTerm0" tptp.vTerm)) % 1.14/1.36 (define @t3 () (tptp.vPlus @t2 @t1)) % 1.14/1.36 (define @t4 () (@var "VX" tptp.vTerm)) % 1.14/1.36 (define @t5 () (@list @t2 @t1)) % 1.14/1.36 (define @t6 () (tptp.vIszero @t2)) % 1.14/1.36 (define @t7 () (@list @t2)) % 1.14/1.36 (define @t8 () (tptp.vPred @t2)) % 1.14/1.36 (define @t9 () (tptp.vSucc @t2)) % 1.14/1.36 (define @t10 () (@var "VTerm2" tptp.vTerm)) % 1.14/1.36 (define @t11 () (tptp.vIfelse @t2 @t1 @t10)) % 1.14/1.36 (define @t12 () (@list @t2 @t1 @t10)) % 1.14/1.36 (define @t13 () (@var "VTerm5" tptp.vTerm)) % 1.14/1.36 (define @t14 () (@var "VTerm4" tptp.vTerm)) % 1.14/1.36 (define @t15 () (@var "VTerm3" tptp.vTerm)) % 1.14/1.36 (define @t16 () (= @t2 @t1)) % 1.14/1.36 (define @t17 () (tptp.vPred @t1)) % 1.14/1.36 (define @t18 () (tptp.vIszero @t1)) % 1.14/1.36 (define @t19 () (@list @t2 @t1 @t10 @t15)) % 1.14/1.36 (define @t20 () (tptp.vPlus @t1 @t10)) % 1.14/1.36 (define @t21 () (tptp.vsomeTerm @t2)) % 1.14/1.36 (define @t22 () (@var "VX" tptp.vOptTerm)) % 1.14/1.36 (define @t23 () (@var "VX" tptp.vTy)) % 1.14/1.36 (define @t24 () (@var "Vt" tptp.vTerm)) % 1.14/1.36 (define @t25 () (tptp.vgetTerm (tptp.vsomeTerm @t24))) % 1.14/1.36 (define @t26 () (forall (@list @t24) (= @t25 @t24))) % 1.14/1.36 (define @t27 () (@var "Vnv" tptp.vTerm)) % 1.14/1.36 (define @t28 () (tptp.visNV @t27)) % 1.14/1.36 (define @t29 () (tptp.vSucc @t27)) % 1.14/1.36 (define @t30 () (@list @t27)) % 1.14/1.36 (define @t31 () (@var "VwildcardName0" tptp.vTerm)) % 1.14/1.36 (define @t32 () (@var "Vnv0" tptp.vTerm)) % 1.14/1.36 (define @t33 () (tptp.vSucc @t32)) % 1.14/1.36 (define @t34 () (@list @t32)) % 1.14/1.36 (define @t35 () (forall @t34 (not (= @t31 @t33)))) % 1.14/1.36 (define @t36 () (not (= @t31 tptp.vZero))) % 1.14/1.36 (define @t37 () (@list @t31)) % 1.14/1.36 (define @t38 () (= @t2 @t29)) % 1.14/1.36 (define @t39 () (tptp.visNV @t2)) % 1.14/1.36 (define @t40 () (not @t28)) % 1.14/1.36 (define @t41 () (@var "Vt1" tptp.vTerm)) % 1.14/1.36 (define @t42 () (tptp.visNV @t41)) % 1.14/1.36 (define @t43 () (not (= @t41 tptp.vFalse))) % 1.14/1.36 (define @t44 () (not (= @t41 tptp.vTrue))) % 1.14/1.36 (define @t45 () (@list @t41)) % 1.14/1.36 (define @t46 () (= @t2 @t41)) % 1.14/1.36 (define @t47 () (tptp.visValue @t2)) % 1.14/1.36 (define @t48 () (not @t42)) % 1.14/1.36 (define @t49 () (tptp.vsomeTerm @t31)) % 1.14/1.36 (define @t50 () (@var "VOptTerm0" tptp.vOptTerm)) % 1.14/1.36 (define @t51 () (exists @t37 (= @t50 @t49))) % 1.14/1.36 (define @t52 () (tptp.visSomeTerm @t50)) % 1.14/1.36 (define @t53 () (=> @t52 @t51)) % 1.14/1.36 (define @t54 () (@list @t50)) % 1.14/1.36 (define @t55 () (forall @t54 @t53)) % 1.14/1.36 (define @t56 () (@var "Vt2" tptp.vTerm)) % 1.14/1.36 (define @t57 () (@var "Vt3" tptp.vTerm)) % 1.14/1.36 (define @t58 () (tptp.vplusop @t56 @t57)) % 1.14/1.36 (define @t59 () (@list @t56 @t57)) % 1.14/1.36 (define @t60 () (@var "Vt30" tptp.vTerm)) % 1.14/1.36 (define @t61 () (tptp.vSucc @t60)) % 1.14/1.36 (define @t62 () (@var "Vt31" tptp.vTerm)) % 1.14/1.36 (define @t63 () (tptp.vplusop @t2 @t1)) % 1.14/1.36 (define @t64 () (@var "Vt22" tptp.vTerm)) % 1.14/1.36 (define @t65 () (@var "Vt3000" tptp.vTerm)) % 1.14/1.36 (define @t66 () (@var "Vt21" tptp.vTerm)) % 1.14/1.36 (define @t67 () (@var "Vt20" tptp.vTerm)) % 1.14/1.36 (define @t68 () (tptp.vreduce @t41)) % 1.14/1.36 (define @t69 () (tptp.vgetTerm @t68)) % 1.14/1.36 (define @t70 () (tptp.vIfelse @t41 @t56 @t57)) % 1.14/1.36 (define @t71 () (tptp.vreduce @t70)) % 1.14/1.36 (define @t72 () (tptp.visSomeTerm @t68)) % 1.14/1.36 (define @t73 () (@var "Vt301" tptp.vTerm)) % 1.14/1.36 (define @t74 () (@var "Vt201" tptp.vTerm)) % 1.14/1.36 (define @t75 () (forall (@list @t74 @t73) (or @t43 (not (= @t56 @t74)) (not (= @t57 @t73))))) % 1.14/1.36 (define @t76 () (@var "Vt300" tptp.vTerm)) % 1.14/1.36 (define @t77 () (@var "Vt200" tptp.vTerm)) % 1.14/1.36 (define @t78 () (forall (@list @t77 @t76) (or @t44 (not (= @t56 @t77)) (not (= @t57 @t76))))) % 1.14/1.36 (define @t79 () (@list @t41 @t56 @t57)) % 1.14/1.36 (define @t80 () (not @t72)) % 1.14/1.36 (define @t81 () (tptp.vSucc @t41)) % 1.14/1.36 (define @t82 () (tptp.vreduce @t81)) % 1.14/1.36 (define @t83 () (= @t82 (tptp.vsomeTerm (tptp.vSucc @t69)))) % 1.14/1.36 (define @t84 () (forall @t45 (=> @t72 @t83))) % 1.14/1.36 (define @t85 () (tptp.vsomeTerm tptp.vZero)) % 1.14/1.36 (define @t86 () (tptp.vPred tptp.vZero)) % 1.14/1.36 (define @t87 () (tptp.vreduce (tptp.vPred @t29))) % 1.14/1.36 (define @t88 () (tptp.vreduce @t29)) % 1.14/1.36 (define @t89 () (tptp.vgetTerm @t88)) % 1.14/1.36 (define @t90 () (tptp.visSomeTerm @t88)) % 1.14/1.36 (define @t91 () (and @t40 @t90)) % 1.14/1.36 (define @t92 () (and @t40 (not @t90))) % 1.14/1.36 (define @t93 () (tptp.vPred @t41)) % 1.14/1.36 (define @t94 () (tptp.vreduce @t93)) % 1.14/1.36 (define @t95 () (@var "Vnv00" tptp.vTerm)) % 1.14/1.36 (define @t96 () (forall (@list @t95) (not (= @t41 (tptp.vSucc @t95))))) % 1.14/1.36 (define @t97 () (not (= @t41 tptp.vZero))) % 1.14/1.36 (define @t98 () (and @t97 @t96 @t72)) % 1.14/1.36 (define @t99 () (and @t97 @t96 @t80)) % 1.14/1.36 (define @t100 () (tptp.vsomeTerm tptp.vTrue)) % 1.14/1.36 (define @t101 () (tptp.vIszero tptp.vZero)) % 1.14/1.36 (define @t102 () (tptp.vsomeTerm tptp.vFalse)) % 1.14/1.36 (define @t103 () (tptp.vreduce (tptp.vIszero @t29))) % 1.14/1.36 (define @t104 () (tptp.vIszero @t41)) % 1.14/1.36 (define @t105 () (tptp.vreduce @t104)) % 1.14/1.36 (define @t106 () (tptp.vPlus @t41 @t56)) % 1.14/1.36 (define @t107 () (tptp.vreduce @t106)) % 1.14/1.36 (define @t108 () (tptp.visNV @t56)) % 1.14/1.36 (define @t109 () (@list @t41 @t56)) % 1.14/1.36 (define @t110 () (tptp.vreduce @t56)) % 1.14/1.36 (define @t111 () (tptp.visSomeTerm @t110)) % 1.14/1.36 (define @t112 () (not @t108)) % 1.14/1.36 (define @t113 () (= @t107 tptp.vnoTerm)) % 1.14/1.36 (define @t114 () (@var "Vt10" tptp.vTerm)) % 1.14/1.36 (define @t115 () (@list @t114)) % 1.14/1.36 (define @t116 () (tptp.vPred @t33)) % 1.14/1.36 (define @t117 () (@list @t67 @t60)) % 1.14/1.36 (define @t118 () (tptp.vIfelse tptp.vTrue @t67 @t60)) % 1.14/1.36 (define @t119 () (tptp.vreduce @t2)) % 1.14/1.36 (define @t120 () (= @t119 tptp.vnoTerm)) % 1.14/1.36 (define @t121 () (@var "VwildcardName00" tptp.vTerm)) % 1.14/1.36 (define @t122 () (@var "Vt2080" tptp.vTerm)) % 1.14/1.36 (define @t123 () (@var "Vt1040" tptp.vTerm)) % 1.14/1.36 (define @t124 () (@var "Vt1030" tptp.vTerm)) % 1.14/1.36 (define @t125 () (@var "Vnv050" tptp.vTerm)) % 1.14/1.36 (define @t126 () (@var "Vt1020" tptp.vTerm)) % 1.14/1.36 (define @t127 () (@var "Vnv040" tptp.vTerm)) % 1.14/1.36 (define @t128 () (@var "Vt1010" tptp.vTerm)) % 1.14/1.36 (define @t129 () (@var "Vt3070" tptp.vTerm)) % 1.14/1.36 (define @t130 () (@var "Vt2070" tptp.vTerm)) % 1.14/1.36 (define @t131 () (@var "Vt1000" tptp.vTerm)) % 1.14/1.36 (define @t132 () (@var "Vt3060" tptp.vTerm)) % 1.14/1.36 (define @t133 () (@var "Vt2060" tptp.vTerm)) % 1.14/1.36 (define @t134 () (@var "Vt3050" tptp.vTerm)) % 1.14/1.36 (define @t135 () (@var "Vt2050" tptp.vTerm)) % 1.14/1.36 (define @t136 () (@var "Vt28" tptp.vTerm)) % 1.14/1.36 (define @t137 () (@var "Vt112" tptp.vTerm)) % 1.14/1.36 (define @t138 () (@var "Vot13" tptp.vOptTerm)) % 1.14/1.36 (define @t139 () (@var "Vt27" tptp.vTerm)) % 1.14/1.36 (define @t140 () (@var "Vot12" tptp.vOptTerm)) % 1.14/1.36 (define @t141 () (@var "Vt111" tptp.vTerm)) % 1.14/1.36 (define @t142 () (@var "Vt26" tptp.vTerm)) % 1.14/1.36 (define @t143 () (@var "Vt110" tptp.vTerm)) % 1.14/1.36 (define @t144 () (@var "Vot211" tptp.vOptTerm)) % 1.14/1.36 (define @t145 () (@var "Vot210" tptp.vOptTerm)) % 1.14/1.36 (define @t146 () (@var "Vt19" tptp.vTerm)) % 1.14/1.36 (define @t147 () (@var "Vt25" tptp.vTerm)) % 1.14/1.36 (define @t148 () (@var "Vt24" tptp.vTerm)) % 1.14/1.36 (define @t149 () (@var "Vt18" tptp.vTerm)) % 1.14/1.36 (define @t150 () (@var "Vt17" tptp.vTerm)) % 1.14/1.36 (define @t151 () (@var "Vot29" tptp.vOptTerm)) % 1.14/1.36 (define @t152 () (@var "Vnv030" tptp.vTerm)) % 1.14/1.36 (define @t153 () (@var "Vot28" tptp.vOptTerm)) % 1.14/1.36 (define @t154 () (@var "Vt16" tptp.vTerm)) % 1.14/1.36 (define @t155 () (@var "Vnv020" tptp.vTerm)) % 1.14/1.36 (define @t156 () (@var "Vnv5" tptp.vTerm)) % 1.14/1.36 (define @t157 () (tptp.vSucc @t156)) % 1.14/1.36 (define @t158 () (@var "Vot27" tptp.vOptTerm)) % 1.14/1.36 (define @t159 () (@var "Vot26" tptp.vOptTerm)) % 1.14/1.36 (define @t160 () (@var "Vnv4" tptp.vTerm)) % 1.14/1.36 (define @t161 () (tptp.vSucc @t160)) % 1.14/1.36 (define @t162 () (@var "Vnv3" tptp.vTerm)) % 1.14/1.36 (define @t163 () (@var "Vt15" tptp.vTerm)) % 1.14/1.36 (define @t164 () (@var "Vot25" tptp.vOptTerm)) % 1.14/1.36 (define @t165 () (@var "Vnv010" tptp.vTerm)) % 1.14/1.36 (define @t166 () (@var "Vot24" tptp.vOptTerm)) % 1.14/1.36 (define @t167 () (@var "Vt14" tptp.vTerm)) % 1.14/1.36 (define @t168 () (@var "Vnv000" tptp.vTerm)) % 1.14/1.36 (define @t169 () (@var "Vnv2" tptp.vTerm)) % 1.14/1.36 (define @t170 () (tptp.vSucc @t169)) % 1.14/1.36 (define @t171 () (@var "Vot23" tptp.vOptTerm)) % 1.14/1.36 (define @t172 () (@var "Vot22" tptp.vOptTerm)) % 1.14/1.36 (define @t173 () (@var "Vnv1" tptp.vTerm)) % 1.14/1.36 (define @t174 () (tptp.vSucc @t173)) % 1.14/1.36 (define @t175 () (@var "Vt13" tptp.vTerm)) % 1.14/1.36 (define @t176 () (@var "Vot21" tptp.vOptTerm)) % 1.14/1.36 (define @t177 () (@var "Vot20" tptp.vOptTerm)) % 1.14/1.36 (define @t178 () (@var "Vt12" tptp.vTerm)) % 1.14/1.36 (define @t179 () (@var "Vt33" tptp.vTerm)) % 1.14/1.36 (define @t180 () (@var "Vt23" tptp.vTerm)) % 1.14/1.36 (define @t181 () (@var "Vt11" tptp.vTerm)) % 1.14/1.36 (define @t182 () (@var "Vot11" tptp.vOptTerm)) % 1.14/1.36 (define @t183 () (@var "Vt3040" tptp.vTerm)) % 1.14/1.36 (define @t184 () (@var "Vt2040" tptp.vTerm)) % 1.14/1.36 (define @t185 () (@var "Vt3030" tptp.vTerm)) % 1.14/1.36 (define @t186 () (@var "Vt2030" tptp.vTerm)) % 1.14/1.36 (define @t187 () (@var "Vt32" tptp.vTerm)) % 1.14/1.36 (define @t188 () (@var "Vot10" tptp.vOptTerm)) % 1.14/1.36 (define @t189 () (@var "Vt3020" tptp.vTerm)) % 1.14/1.36 (define @t190 () (@var "Vt2020" tptp.vTerm)) % 1.14/1.36 (define @t191 () (@var "Vt3010" tptp.vTerm)) % 1.14/1.36 (define @t192 () (@var "Vt2010" tptp.vTerm)) % 1.14/1.36 (define @t193 () (@var "VT" tptp.vTy)) % 1.14/1.36 (define @t194 () (tptp.vptchecksimple @t70 @t193)) % 1.14/1.36 (define @t195 () (tptp.vptchecksimple @t57 @t193)) % 1.14/1.36 (define @t196 () (tptp.vptchecksimple @t56 @t193)) % 1.14/1.36 (define @t197 () (tptp.vptchecksimple @t41 tptp.vB)) % 1.14/1.36 (define @t198 () (@list @t41 @t56 @t57 @t193)) % 1.14/1.36 (define @t199 () (= @t193 tptp.vNat)) % 1.14/1.36 (define @t200 () (tptp.vptchecksimple @t81 tptp.vNat)) % 1.14/1.36 (define @t201 () (tptp.vptchecksimple @t41 tptp.vNat)) % 1.14/1.36 (define @t202 () (forall @t45 (=> @t201 @t200))) % 1.14/1.36 (define @t203 () (tptp.vptchecksimple @t81 @t193)) % 1.14/1.36 (define @t204 () (=> @t203 @t199)) % 1.14/1.36 (define @t205 () (@list @t41 @t193)) % 1.14/1.36 (define @t206 () (forall @t205 @t204)) % 1.14/1.36 (define @t207 () (forall @t45 (=> @t200 @t201))) % 1.14/1.36 (define @t208 () (tptp.vptchecksimple @t93 tptp.vNat)) % 1.14/1.36 (define @t209 () (tptp.vptchecksimple @t104 tptp.vB)) % 1.14/1.36 (define @t210 () (tptp.vptchecksimple @t106 tptp.vNat)) % 1.14/1.36 (define @t211 () (tptp.vptchecksimple @t56 tptp.vNat)) % 1.14/1.36 (define @t212 () (@var "Vtres" tptp.vTerm)) % 1.14/1.36 (define @t213 () (tptp.vptchecksimple @t212 @t193)) % 1.14/1.36 (define @t214 () (tptp.vsomeTerm @t212)) % 1.14/1.36 (define @t215 () (tptp.vreduce tptp.vt1)) % 1.14/1.36 (define @t216 () (= @t215 @t214)) % 1.14/1.36 (define @t217 () (tptp.vptchecksimple tptp.vt1 @t193)) % 1.14/1.36 (define @t218 () (and @t217 @t216)) % 1.14/1.36 (define @t219 () (@list @t193 @t212)) % 1.14/1.36 (define @t220 () (forall @t219 (=> @t218 @t213))) % 1.14/1.36 (define @t221 () (tptp.vSucc tptp.vt1)) % 1.14/1.36 (define @t222 () (tptp.vreduce @t221)) % 1.14/1.36 (define @t223 () (tptp.vptchecksimple @t221 @t193)) % 1.14/1.36 (define @t224 () (tptp.visSomeTerm @t215)) % 1.14/1.36 (define @t225 () (and @t224 @t223 (= @t222 @t214))) % 1.14/1.36 (define @t226 () (=> @t225 @t213)) % 1.14/1.36 (define @t227 () (forall @t219 @t226)) % 1.14/1.36 (define @t228 () (not @t227)) % 1.14/1.36 (define @t229 () (= @t49 @t50)) % 1.14/1.36 (define @t230 () (not (forall @t37 (not @t229)))) % 1.14/1.36 (define @t231 () (= @t214 @t222)) % 1.14/1.36 (define @t232 () (not @t231)) % 1.14/1.36 (define @t233 () (not @t223)) % 1.14/1.36 (define @t234 () (or @t233 @t232 @t213)) % 1.14/1.36 (define @t235 () (forall @t219 @t234)) % 1.14/1.36 (define @t236 () (not @t224)) % 1.14/1.36 (define @t237 () (or @t236 @t234)) % 1.14/1.36 (define @t238 () (or @t236 @t233 @t232 @t213)) % 1.14/1.36 (define @t239 () (or @t236 @t233 @t232)) % 1.14/1.36 (define @t240 () (and @t224 @t223 @t231)) % 1.14/1.36 (define @t241 () (forall @t37 (not (= @t49 @t215)))) % 1.14/1.36 (define @t242 () (not @t241)) % 1.14/1.36 (define @t243 () (or @t236 @t242)) % 1.14/1.36 (define @t244 () (@list false false)) % 1.14/1.36 (define @t245 () (@quantifiers_skolemize @t241 0)) % 1.14/1.36 (define @t246 () (tptp.vsomeTerm @t245)) % 1.14/1.36 (define @t247 () (= @t215 @t246)) % 1.14/1.36 (define @t248 () (= @t246 @t215)) % 1.14/1.36 (define @t249 () (not (not @t248))) % 1.14/1.36 (define @t250 () (@list true)) % 1.14/1.36 (define @t251 () (@list @t241)) % 1.14/1.36 (define @t252 () (not @t216)) % 1.14/1.36 (define @t253 () (not @t217)) % 1.14/1.36 (define @t254 () (tptp.vgetTerm @t215)) % 1.14/1.36 (define @t255 () (@quantifiers_skolemize @t235 0)) % 1.14/1.36 (define @t256 () (@quantifiers_skolemize @t235 1)) % 1.14/1.36 (define @t257 () (tptp.vptchecksimple @t256 @t255)) % 1.14/1.36 (define @t258 () (tptp.vsomeTerm @t256)) % 1.14/1.36 (define @t259 () (= @t222 @t258)) % 1.14/1.36 (define @t260 () (not @t259)) % 1.14/1.36 (define @t261 () (tptp.vptchecksimple @t221 @t255)) % 1.14/1.36 (define @t262 () (not @t261)) % 1.14/1.36 (define @t263 () (or @t262 @t260 @t257)) % 1.14/1.36 (define @t264 () (not @t263)) % 1.14/1.36 (define @t265 () (not @t235)) % 1.14/1.36 (define @t266 () (not (= @t258 @t222))) % 1.14/1.36 (define @t267 () (or @t262 @t266 @t257)) % 1.14/1.36 (define @t268 () (not @t267)) % 1.14/1.36 (define @t269 () (@list @t263)) % 1.14/1.36 (define @t270 () (= tptp.vNat @t193)) % 1.14/1.36 (define @t271 () (= tptp.vNat @t255)) % 1.14/1.36 (define @t272 () (or @t262 @t271)) % 1.14/1.36 (define @t273 () (tptp.vgetTerm @t222)) % 1.14/1.36 (define @t274 () (@list tptp.vt1)) % 1.14/1.36 (define @t275 () (tptp.vSucc @t254)) % 1.14/1.36 (define @t276 () (tptp.vsomeTerm @t275)) % 1.14/1.36 (define @t277 () (= @t222 @t276)) % 1.14/1.36 (define @t278 () (or @t236 @t277)) % 1.14/1.36 (define @t279 () (tptp.vptchecksimple @t275 tptp.vNat)) % 1.14/1.36 (define @t280 () (tptp.vptchecksimple @t254 tptp.vNat)) % 1.14/1.36 (define @t281 () (not @t280)) % 1.14/1.36 (define @t282 () (or @t281 @t279)) % 1.14/1.36 (define @t283 () (tptp.vptchecksimple @t221 tptp.vNat)) % 1.14/1.36 (define @t284 () (tptp.vptchecksimple tptp.vt1 tptp.vNat)) % 1.14/1.36 (define @t285 () (not @t283)) % 1.14/1.36 (define @t286 () (or @t285 @t284)) % 1.14/1.36 (define @t287 () (= @t215 (tptp.vsomeTerm @t254))) % 1.14/1.36 (define @t288 () (not @t287)) % 1.14/1.36 (define @t289 () (not @t284)) % 1.14/1.36 (define @t290 () (or @t289 @t288 @t280)) % 1.14/1.36 (define @t291 () (tptp.vgetTerm @t246)) % 1.14/1.36 (define @t292 () (= @t245 @t291)) % 1.14/1.36 (define @t293 () (not @t292)) % 1.14/1.36 (define @t294 () (not @t247)) % 1.14/1.36 (define @t295 () (and @t287 @t288)) % 1.14/1.36 (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))))) % 1.14/1.36 (assume @p2 (forall (@list @t15 @t10 @t1 @t14 @t2 @t13) (=> (= @t11 (tptp.vIfelse @t15 @t14 @t13)) (and (= @t2 @t15) (= @t1 @t14) (= @t10 @t13))))) % 1.14/1.36 (assume @p3 (forall @t5 (=> (= @t9 (tptp.vSucc @t1)) @t16))) % 1.14/1.36 (assume @p4 (forall @t5 (=> (= @t8 @t17) @t16))) % 1.14/1.36 (assume @p5 (forall @t5 (=> (= @t6 @t18) @t16))) % 1.14/1.36 (assume @p6 (forall @t19 (=> (= @t3 (tptp.vPlus @t10 @t15)) (and (= @t2 @t10) (= @t1 @t15))))) % 1.14/1.36 (assume @p7 (not (= tptp.vTrue tptp.vFalse))) % 1.14/1.36 (assume @p8 (forall @t12 (not (= tptp.vTrue @t11)))) % 1.14/1.36 (assume @p9 (not (= tptp.vTrue tptp.vZero))) % 1.14/1.36 (assume @p10 (forall @t7 (not (= tptp.vTrue @t9)))) % 1.14/1.36 (assume @p11 (forall @t7 (not (= tptp.vTrue @t8)))) % 1.14/1.36 (assume @p12 (forall @t7 (not (= tptp.vTrue @t6)))) % 1.14/1.36 (assume @p13 (forall @t5 (not (= tptp.vTrue @t3)))) % 1.14/1.36 (assume @p14 (forall @t12 (not (= tptp.vFalse @t11)))) % 1.14/1.36 (assume @p15 (not (= tptp.vFalse tptp.vZero))) % 1.14/1.36 (assume @p16 (forall @t7 (not (= tptp.vFalse @t9)))) % 1.14/1.36 (assume @p17 (forall @t7 (not (= tptp.vFalse @t8)))) % 1.14/1.36 (assume @p18 (forall @t7 (not (= tptp.vFalse @t6)))) % 1.14/1.36 (assume @p19 (forall @t5 (not (= tptp.vFalse @t3)))) % 1.14/1.36 (assume @p20 (forall @t12 (not (= @t11 tptp.vZero)))) % 1.14/1.36 (assume @p21 (forall @t19 (not (= @t11 (tptp.vSucc @t15))))) % 1.14/1.36 (assume @p22 (forall @t19 (not (= @t11 (tptp.vPred @t15))))) % 1.14/1.36 (assume @p23 (forall @t19 (not (= @t11 (tptp.vIszero @t15))))) % 1.14/1.36 (assume @p24 (forall (@list @t15 @t10 @t1 @t14 @t2) (not (= @t11 (tptp.vPlus @t15 @t14))))) % 1.14/1.36 (assume @p25 (forall @t7 (not (= tptp.vZero @t9)))) % 1.14/1.36 (assume @p26 (forall @t7 (not (= tptp.vZero @t8)))) % 1.14/1.36 (assume @p27 (forall @t7 (not (= tptp.vZero @t6)))) % 1.14/1.36 (assume @p28 (forall @t5 (not (= tptp.vZero @t3)))) % 1.14/1.36 (assume @p29 (forall @t5 (not (= @t9 @t17)))) % 1.14/1.36 (assume @p30 (forall @t5 (not (= @t9 @t18)))) % 1.14/1.36 (assume @p31 (forall @t12 (not (= @t9 @t20)))) % 1.14/1.36 (assume @p32 (forall @t5 (not (= @t8 @t18)))) % 1.14/1.36 (assume @p33 (forall @t12 (not (= @t8 @t20)))) % 1.14/1.36 (assume @p34 (forall @t12 (not (= @t6 @t20)))) % 1.14/1.36 (assume @p35 (forall (@list @t22) (or (= @t22 tptp.vnoTerm) (exists @t7 (= @t22 @t21))))) % 1.14/1.36 (assume @p36 (forall @t5 (=> (= @t21 (tptp.vsomeTerm @t1)) @t16))) % 1.14/1.36 (assume @p37 (forall @t7 (not (= tptp.vnoTerm @t21)))) % 1.14/1.36 (assume @p38 (forall (@list @t23) (or (= @t23 tptp.vB) (= @t23 tptp.vNat)))) % 1.14/1.36 (assume @p39 (not (= tptp.vB tptp.vNat))) % 1.14/1.36 (assume @p40 @t26) % 1.14/1.36 (assume @p41 (tptp.visNV tptp.vZero)) % 1.14/1.36 (assume @p42 (forall @t30 (= (tptp.visNV @t29) @t28))) % 1.14/1.36 (assume @p43 (forall @t37 (=> (and @t36 @t35) (not (tptp.visNV @t31))))) % 1.14/1.36 (assume @p44 (forall @t7 (=> @t39 (or (= @t2 tptp.vZero) (exists @t30 (and @t38 @t28)))))) % 1.14/1.36 (assume @p45 (forall @t7 (=> (not @t39) (or (exists @t30 (and @t38 @t40)) (exists @t37 (and @t36 @t35 (= @t2 @t31))))))) % 1.14/1.36 (assume @p46 (tptp.visValue tptp.vTrue)) % 1.14/1.36 (assume @p47 (tptp.visValue tptp.vFalse)) % 1.14/1.36 (assume @p48 (forall @t45 (=> (and @t44 @t43) (= (tptp.visValue @t41) @t42)))) % 1.14/1.36 (assume @p49 (forall @t7 (=> @t47 (or (= @t2 tptp.vTrue) (= @t2 tptp.vFalse) (exists @t45 (and @t44 @t43 @t46 @t42)))))) % 1.14/1.36 (assume @p50 (forall @t7 (=> (not @t47) (exists @t45 (and @t44 @t43 @t46 @t48))))) % 1.14/1.36 (assume @p51 (not (tptp.visSomeTerm tptp.vnoTerm))) % 1.14/1.36 (assume @p52 (forall @t37 (tptp.visSomeTerm @t49))) % 1.14/1.36 (assume @p53 @t55) % 1.14/1.36 (assume @p54 (forall @t54 (=> (not @t52) (= @t50 tptp.vnoTerm)))) % 1.14/1.36 (assume @p55 (forall (@list @t56) (= (tptp.vplusop @t56 tptp.vZero) @t56))) % 1.14/1.36 (assume @p56 (forall @t59 (= (tptp.vplusop @t56 (tptp.vSucc @t57)) (tptp.vSucc @t58)))) % 1.14/1.36 (assume @p57 (forall (@list @t57 @t56) (=> (and (not (= @t57 tptp.vZero)) (forall (@list @t60) (not (= @t57 @t61)))) (= @t58 @t57)))) % 1.14/1.36 (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)))))) % 1.14/1.36 (assume @p59 (forall @t59 (= (tptp.vreduce (tptp.vIfelse tptp.vTrue @t56 @t57)) (tptp.vsomeTerm @t56)))) % 1.14/1.36 (assume @p60 (forall @t59 (= (tptp.vreduce (tptp.vIfelse tptp.vFalse @t56 @t57)) (tptp.vsomeTerm @t57)))) % 1.14/1.36 (assume @p61 (forall @t79 (=> (and @t78 @t75 @t72) (= @t71 (tptp.vsomeTerm (tptp.vIfelse @t69 @t56 @t57)))))) % 1.14/1.36 (assume @p62 (forall @t79 (=> (and @t78 @t75 @t80) (= @t71 tptp.vnoTerm)))) % 1.14/1.36 (assume @p63 @t84) % 1.14/1.36 (assume @p64 (forall @t45 (=> @t80 (= @t82 tptp.vnoTerm)))) % 1.14/1.36 (assume @p65 (= (tptp.vreduce @t86) @t85)) % 1.14/1.36 (assume @p66 (forall @t30 (=> @t28 (= @t87 (tptp.vsomeTerm @t27))))) % 1.14/1.36 (assume @p67 (forall @t30 (=> @t91 (= @t87 (tptp.vsomeTerm (tptp.vPred @t89)))))) % 1.14/1.36 (assume @p68 (forall @t30 (=> @t92 (= @t87 tptp.vnoTerm)))) % 1.14/1.36 (assume @p69 (forall @t45 (=> @t98 (= @t94 (tptp.vsomeTerm (tptp.vPred @t69)))))) % 1.14/1.36 (assume @p70 (forall @t45 (=> @t99 (= @t94 tptp.vnoTerm)))) % 1.14/1.36 (assume @p71 (= (tptp.vreduce @t101) @t100)) % 1.14/1.36 (assume @p72 (forall @t30 (=> @t28 (= @t103 @t102)))) % 1.14/1.36 (assume @p73 (forall @t30 (=> @t91 (= @t103 (tptp.vsomeTerm (tptp.vIszero @t89)))))) % 1.14/1.36 (assume @p74 (forall @t30 (=> @t92 (= @t103 tptp.vnoTerm)))) % 1.14/1.36 (assume @p75 (forall @t45 (=> @t98 (= @t105 (tptp.vsomeTerm (tptp.vIszero @t69)))))) % 1.14/1.36 (assume @p76 (forall @t45 (=> @t99 (= @t105 tptp.vnoTerm)))) % 1.14/1.36 (assume @p77 (forall @t109 (=> (and @t42 @t108) (= @t107 (tptp.vsomeTerm (tptp.vplusop @t41 @t56)))))) % 1.14/1.36 (assume @p78 (forall @t109 (=> (and @t42 @t112 @t111) (= @t107 (tptp.vsomeTerm (tptp.vPlus @t41 (tptp.vgetTerm @t110))))))) % 1.14/1.36 (assume @p79 (forall @t109 (=> (and @t42 @t112 (not @t111)) @t113))) % 1.14/1.36 (assume @p80 (forall @t109 (=> (and @t48 @t72) (= @t107 (tptp.vsomeTerm (tptp.vPlus @t69 @t56)))))) % 1.14/1.36 (assume @p81 (forall @t109 (=> (and @t48 @t80) @t113))) % 1.14/1.36 (assume @p82 (forall @t37 (=> (and (forall @t117 (not (= @t31 @t118))) (forall @t117 (not (= @t31 (tptp.vIfelse tptp.vFalse @t67 @t60)))) (forall (@list @t114 @t67 @t60) (not (= @t31 (tptp.vIfelse @t114 @t67 @t60)))) (forall @t115 (not (= @t31 (tptp.vSucc @t114)))) (not (= @t31 @t86)) (forall @t34 (not (= @t31 @t116))) (forall @t115 (not (= @t31 (tptp.vPred @t114)))) (not (= @t31 @t101)) (forall @t34 (not (= @t31 (tptp.vIszero @t33)))) (forall @t115 (not (= @t31 (tptp.vIszero @t114)))) (forall (@list @t114 @t67) (not (= @t31 (tptp.vPlus @t114 @t67))))) (= (tptp.vreduce @t31) tptp.vnoTerm)))) % 1.14/1.36 (assume @p83 (forall @t7 (or (exists @t117 (and (= @t2 @t118) (= @t119 (tptp.vsomeTerm @t67)))) (exists (@list @t66 @t62) (and (= @t2 (tptp.vIfelse tptp.vFalse @t66 @t62)) (= @t119 (tptp.vsomeTerm @t62)))) (exists (@list @t114 @t64 @t187 @t188) (and (forall (@list @t192 @t191) (or (not (= @t114 tptp.vTrue)) (not (= @t64 @t192)) (not (= @t187 @t191)))) (forall (@list @t190 @t189) (or (not (= @t114 tptp.vFalse)) (not (= @t64 @t190)) (not (= @t187 @t189)))) (= @t188 (tptp.vreduce @t114)) (tptp.visSomeTerm @t188) (= @t2 (tptp.vIfelse @t114 @t64 @t187)) (= @t119 (tptp.vsomeTerm (tptp.vIfelse (tptp.vgetTerm @t188) @t64 @t187))))) (exists (@list @t181 @t180 @t179 @t182) (and (forall (@list @t186 @t185) (or (not (= @t181 tptp.vTrue)) (not (= @t180 @t186)) (not (= @t179 @t185)))) (forall (@list @t184 @t183) (or (not (= @t181 tptp.vFalse)) (not (= @t180 @t184)) (not (= @t179 @t183)))) (= @t182 (tptp.vreduce @t181)) (not (tptp.visSomeTerm @t182)) (= @t2 (tptp.vIfelse @t181 @t180 @t179)) @t120)) (exists (@list @t178 @t177) (and (= @t177 (tptp.vreduce @t178)) (tptp.visSomeTerm @t177) (= @t2 (tptp.vSucc @t178)) (= @t119 (tptp.vsomeTerm (tptp.vSucc (tptp.vgetTerm @t177)))))) (exists (@list @t175 @t176) (and (= @t176 (tptp.vreduce @t175)) (not (tptp.visSomeTerm @t176)) (= @t2 (tptp.vSucc @t175)) @t120)) (and (= @t2 @t86) (= @t119 @t85)) (exists @t34 (and (tptp.visNV @t32) (= @t2 @t116) (= @t119 (tptp.vsomeTerm @t32)))) (exists (@list @t173 @t172) (and (not (tptp.visNV @t173)) (= @t172 (tptp.vreduce @t174)) (tptp.visSomeTerm @t172) (= @t2 (tptp.vPred @t174)) (= @t119 (tptp.vsomeTerm (tptp.vPred (tptp.vgetTerm @t172)))))) (exists (@list @t169 @t171) (and (not (tptp.visNV @t169)) (= @t171 (tptp.vreduce @t170)) (not (tptp.visSomeTerm @t171)) (= @t2 (tptp.vPred @t170)) @t120)) (exists (@list @t167 @t166) (and (not (= @t167 tptp.vZero)) (forall (@list @t168) (not (= @t167 (tptp.vSucc @t168)))) (= @t166 (tptp.vreduce @t167)) (tptp.visSomeTerm @t166) (= @t2 (tptp.vPred @t167)) (= @t119 (tptp.vsomeTerm (tptp.vPred (tptp.vgetTerm @t166)))))) (exists (@list @t163 @t164) (and (not (= @t163 tptp.vZero)) (forall (@list @t165) (not (= @t163 (tptp.vSucc @t165)))) (= @t164 (tptp.vreduce @t163)) (not (tptp.visSomeTerm @t164)) (= @t2 (tptp.vPred @t163)) @t120)) (and (= @t2 @t101) (= @t119 @t100)) (exists (@list @t162) (and (tptp.visNV @t162) (= @t2 (tptp.vIszero (tptp.vSucc @t162))) (= @t119 @t102))) (exists (@list @t160 @t159) (and (not (tptp.visNV @t160)) (= @t159 (tptp.vreduce @t161)) (tptp.visSomeTerm @t159) (= @t2 (tptp.vIszero @t161)) (= @t119 (tptp.vsomeTerm (tptp.vIszero (tptp.vgetTerm @t159)))))) (exists (@list @t156 @t158) (and (not (tptp.visNV @t156)) (= @t158 (tptp.vreduce @t157)) (not (tptp.visSomeTerm @t158)) (= @t2 (tptp.vIszero @t157)) @t120)) (exists (@list @t154 @t153) (and (not (= @t154 tptp.vZero)) (forall (@list @t155) (not (= @t154 (tptp.vSucc @t155)))) (= @t153 (tptp.vreduce @t154)) (tptp.visSomeTerm @t153) (= @t2 (tptp.vIszero @t154)) (= @t119 (tptp.vsomeTerm (tptp.vIszero (tptp.vgetTerm @t153)))))) (exists (@list @t150 @t151) (and (not (= @t150 tptp.vZero)) (forall (@list @t152) (not (= @t150 (tptp.vSucc @t152)))) (= @t151 (tptp.vreduce @t150)) (not (tptp.visSomeTerm @t151)) (= @t2 (tptp.vIszero @t150)) @t120)) (exists (@list @t149 @t148) (and (tptp.visNV @t149) (tptp.visNV @t148) (= @t2 (tptp.vPlus @t149 @t148)) (= @t119 (tptp.vsomeTerm (tptp.vplusop @t149 @t148))))) (exists (@list @t146 @t147 @t145) (and (tptp.visNV @t146) (not (tptp.visNV @t147)) (= @t145 (tptp.vreduce @t147)) (tptp.visSomeTerm @t145) (= @t2 (tptp.vPlus @t146 @t147)) (= @t119 (tptp.vsomeTerm (tptp.vPlus @t146 (tptp.vgetTerm @t145)))))) (exists (@list @t143 @t142 @t144) (and (tptp.visNV @t143) (not (tptp.visNV @t142)) (= @t144 (tptp.vreduce @t142)) (not (tptp.visSomeTerm @t144)) (= @t2 (tptp.vPlus @t143 @t142)) @t120)) (exists (@list @t141 @t139 @t140) (and (not (tptp.visNV @t141)) (= @t140 (tptp.vreduce @t141)) (tptp.visSomeTerm @t140) (= @t2 (tptp.vPlus @t141 @t139)) (= @t119 (tptp.vsomeTerm (tptp.vPlus (tptp.vgetTerm @t140) @t139))))) (exists (@list @t137 @t136 @t138) (and (not (tptp.visNV @t137)) (= @t138 (tptp.vreduce @t137)) (not (tptp.visSomeTerm @t138)) (= @t2 (tptp.vPlus @t137 @t136)) @t120)) (exists (@list @t121) (and (forall (@list @t135 @t134) (not (= @t121 (tptp.vIfelse tptp.vTrue @t135 @t134)))) (forall (@list @t133 @t132) (not (= @t121 (tptp.vIfelse tptp.vFalse @t133 @t132)))) (forall (@list @t131 @t130 @t129) (not (= @t121 (tptp.vIfelse @t131 @t130 @t129)))) (forall (@list @t128) (not (= @t121 (tptp.vSucc @t128)))) (not (= @t121 @t86)) (forall (@list @t127) (not (= @t121 (tptp.vPred (tptp.vSucc @t127))))) (forall (@list @t126) (not (= @t121 (tptp.vPred @t126)))) (not (= @t121 @t101)) (forall (@list @t125) (not (= @t121 (tptp.vIszero (tptp.vSucc @t125))))) (forall (@list @t124) (not (= @t121 (tptp.vIszero @t124)))) (forall (@list @t123 @t122) (not (= @t121 (tptp.vPlus @t123 @t122)))) (= @t2 @t121) @t120))))) % 1.14/1.36 (assume @p84 (tptp.vptchecksimple tptp.vTrue tptp.vB)) % 1.14/1.36 (assume @p85 (tptp.vptchecksimple tptp.vFalse tptp.vB)) % 1.14/1.36 (assume @p86 (forall (@list @t41 @t56 @t193 @t57) (=> (and @t197 @t196 @t195) @t194))) % 1.14/1.36 (assume @p87 (forall @t198 (=> @t194 @t197))) % 1.14/1.36 (assume @p88 (forall @t198 (=> @t194 @t196))) % 1.14/1.36 (assume @p89 (forall @t198 (=> @t194 @t195))) % 1.14/1.36 (assume @p90 (tptp.vptchecksimple tptp.vZero tptp.vNat)) % 1.14/1.36 (assume @p91 (forall (@list @t193) (=> (tptp.vptchecksimple tptp.vZero @t193) @t199))) % 1.14/1.36 (assume @p92 @t202) % 1.14/1.36 (assume @p93 @t206) % 1.14/1.36 (assume @p94 @t207) % 1.14/1.36 (assume @p95 (forall @t45 (=> @t201 @t208))) % 1.14/1.36 (assume @p96 (forall @t45 (=> @t208 @t201))) % 1.14/1.36 (assume @p97 (forall @t205 (=> (tptp.vptchecksimple @t93 @t193) @t199))) % 1.14/1.36 (assume @p98 (forall @t45 (=> @t201 @t209))) % 1.14/1.36 (assume @p99 (forall @t45 (=> @t209 @t201))) % 1.14/1.36 (assume @p100 (forall @t205 (=> (tptp.vptchecksimple @t104 @t193) (= @t193 tptp.vB)))) % 1.14/1.36 (assume @p101 (forall @t109 (=> (and @t201 @t211) @t210))) % 1.14/1.36 (assume @p102 (forall (@list @t41 @t56 @t193) (=> (tptp.vptchecksimple @t106 @t193) @t199))) % 1.14/1.36 (assume @p103 (forall @t109 (=> @t210 @t201))) % 1.14/1.36 (assume @p104 (forall @t109 (=> @t210 @t211))) % 1.14/1.36 (assume @p105 @t220) % 1.14/1.36 (assume @p106 @t228) % 1.14/1.36 (assume @p107 true) % 1.14/1.36 (step @p108 :rule bool-impl-elim :args (@t52 @t230)) % 1.14/1.36 (step @p109 :rule cong :premises (@p108) :args ((forall 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% 1.14/1.36 (step @p181 :rule eq_resolve :premises (@p105 @p180)) % 1.14/1.36 (step @p182 :rule instantiate :premises (@p181) :args ((@list tptp.vNat @t254))) % 1.14/1.36 (step @p183 :rule bool-impl-elim :args (@t201 @t200)) % 1.14/1.36 (step @p184 :rule cong :premises (@p183) :args (@t202)) % 1.14/1.36 (step @p185 :rule eq_resolve :premises (@p92 @p184)) % 1.14/1.36 (step @p186 :rule instantiate :premises (@p185) :args ((@list @t254))) % 1.14/1.36 (step @p187 :rule not_or_elim :premises (@p148) :args (1)) % 1.14/1.36 (step @p188 :rule refl :args (@t264)) % 1.14/1.36 (step @p189 :rule bool-double-not-elim :args (@t235)) % 1.14/1.36 (step @p190 :rule nary_cong :premises (@p189 @p188) :args ((or (not @t265) @t264))) % 1.14/1.36 (step @p191 :rule refl :args (@t257)) % 1.14/1.36 (step @p192 :rule eq-symm :args (@t258 @t222)) % 1.14/1.36 (step @p193 :rule cong :premises (@p192) :args (@t266)) % 1.14/1.36 (step @p194 :rule refl :args (@t262)) % 1.14/1.36 (step @p195 :rule nary_cong :premises (@p194 @p193 @p191) :args (@t267)) % 1.14/1.36 (step @p196 :rule cong :premises (@p195) :args (@t268)) % 1.14/1.36 (step @p197 :rule refl :args (@t265)) % 1.14/1.36 (step @p198 :rule cong :premises (@p197 @p196) :args ((=> @t265 @t268))) % 1.14/1.36 (assume-push @p313 @t265) % 1.14/1.36 (step @p200 :rule skolemize :premises (@p187)) % 1.14/1.36 (step-pop @p314 :rule scope :premises (@p200)) % 1.14/1.36 (step @p201 :rule process_scope :premises (@p314) :args (@t268)) % 1.14/1.36 (step @p203 :rule eq_resolve :premises (@p201 @p198)) % 1.14/1.36 (step @p204 :rule implies_elim :premises (@p203)) % 1.14/1.36 (step @p205 :rule eq_resolve :premises (@p204 @p190)) % 1.14/1.36 (step @p206 :rule chain_m_resolution :premises (@p205 @p187) :args (@t264 @t250 (@list @t235))) % 1.14/1.36 (step @p207 :rule cnf_or_neg :args (@t263 2)) % 1.14/1.36 (step @p208 :rule chain_m_resolution :premises (@p207 @p206) :args ((not @t257) @t250 @t269)) % 1.14/1.36 (step @p209 :rule false_intro :premises (@p208)) % 1.14/1.36 (step @p210 :rule bool-impl-elim :args (@t203 @t270)) % 1.14/1.36 (step @p211 :rule cong :premises (@p210) :args ((forall @t205 (=> @t203 @t270)))) % 1.14/1.36 (step @p212 :rule eq-symm :args (@t193 tptp.vNat)) % 1.14/1.36 (step @p213 :rule refl :args (@t203)) % 1.14/1.36 (step @p214 :rule cong :premises (@p213 @p212) :args (@t204)) % 1.14/1.36 (step @p215 :rule cong :premises (@p214) :args (@t206)) % 1.14/1.36 (step @p216 :rule trans :premises (@p215 @p211)) % 1.14/1.36 (step @p217 :rule eq_resolve :premises (@p93 @p216)) % 1.14/1.36 (step @p218 :rule instantiate :premises (@p217) :args ((@list tptp.vt1 @t255))) % 1.14/1.36 (step @p219 :rule bool-double-not-elim :args (@t261)) % 1.14/1.36 (step @p220 :rule refl :args (@t263)) % 1.14/1.36 (step @p221 :rule nary_cong :premises (@p220 @p219) :args ((or @t263 (not @t262)))) % 1.14/1.36 (step @p222 :rule cnf_or_neg :args (@t263 0)) % 1.14/1.36 (step @p223 :rule eq_resolve :premises (@p222 @p221)) % 1.14/1.36 (step @p224 :rule 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(@p235 @p206) :args (@t259 @t250 @t269)) % 1.14/1.36 (step @p237 :rule cong :premises (@p236) :args (@t273)) % 1.14/1.36 (step @p238 :rule trans :premises (@p237 @p230)) % 1.14/1.36 (step @p239 :rule cong :premises (@p238 @p228) :args ((tptp.vptchecksimple @t273 tptp.vNat))) % 1.14/1.36 (step @p240 :rule refl :args (tptp.vNat)) % 1.14/1.36 (step @p241 :rule symm :premises (@p238)) % 1.14/1.36 (step @p242 :rule bool-impl-elim :args (@t72 @t83)) % 1.14/1.36 (step @p243 :rule cong :premises (@p242) :args (@t84)) % 1.14/1.36 (step @p244 :rule eq_resolve :premises (@p63 @p243)) % 1.14/1.36 (step @p245 :rule instantiate :premises (@p244) :args (@t274)) % 1.14/1.36 (step @p246 :rule cnf_or_pos :args (@t278)) % 1.14/1.36 (step @p247 :rule reordering :premises (@p246) :args ((or @t236 @t277 (not @t278)))) % 1.14/1.36 (step @p248 :rule chain_m_resolution :premises (@p247 @p150 @p245) :args (@t277 @t244 (@list @t224 @t278))) % 1.14/1.36 (step @p249 :rule symm :premises (@p248)) % 1.14/1.36 (step @p250 :rule trans :premises (@p249 @p236)) % 1.14/1.36 (step @p251 :rule cong :premises (@p250) :args ((tptp.vgetTerm @t276))) % 1.14/1.36 (step @p252 :rule instantiate :premises (@p172) :args ((@list @t275))) % 1.14/1.36 (step @p253 :rule trans :premises (@p252 @p251 @p230)) % 1.14/1.36 (step @p254 :rule trans :premises (@p253 @p241)) % 1.14/1.36 (step @p255 :rule cong :premises (@p254 @p240) :args (@t279)) % 1.14/1.36 (step @p256 :rule trans :premises (@p255 @p239 @p209)) % 1.14/1.36 (step @p257 :rule false_elim :premises (@p256)) % 1.14/1.36 (step @p258 :rule cnf_or_pos :args (@t282)) % 1.14/1.36 (step @p259 :rule reordering :premises (@p258) :args ((or @t281 @t279 (not @t282)))) % 1.14/1.36 (step @p260 :rule chain_m_resolution :premises (@p259 @p257 @p186) :args (@t281 (@list true false) (@list @t279 @t282))) % 1.14/1.36 (step @p261 :rule bool-impl-elim :args (@t200 @t201)) % 1.14/1.36 (step @p262 :rule cong :premises (@p261) :args (@t207)) % 1.14/1.36 (step @p263 :rule eq_resolve :premises (@p94 @p262)) % 1.14/1.36 (step @p264 :rule instantiate :premises (@p263) :args (@t274)) % 1.14/1.36 (step @p265 :rule true_intro :premises (@p225)) % 1.14/1.36 (step @p266 :rule refl :args (@t221)) % 1.14/1.36 (step @p267 :rule cong :premises (@p266 @p228) :args (@t283)) % 1.14/1.36 (step @p268 :rule trans :premises (@p267 @p265)) % 1.14/1.36 (step @p269 :rule true_elim :premises (@p268)) % 1.14/1.36 (step @p270 :rule cnf_or_pos :args (@t286)) % 1.14/1.36 (step @p271 :rule reordering :premises (@p270) :args ((or @t284 @t285 (not @t286)))) % 1.14/1.36 (step @p272 :rule chain_m_resolution :premises (@p271 @p269 @p264) :args (@t284 @t244 (@list @t283 @t286))) % 1.14/1.36 (step @p273 :rule cnf_or_pos :args (@t290)) % 1.14/1.36 (step @p274 :rule reordering :premises (@p273) :args ((or @t289 @t280 @t288 (not @t290)))) % 1.14/1.36 (step @p275 :rule chain_m_resolution :premises (@p274 @p272 @p260 @p182) :args (@t288 (@list false true false) (@list @t284 @t280 @t290))) % 1.14/1.36 (step @p276 :rule bool-double-not-elim :args (@t287)) % 1.14/1.36 (step @p277 :rule refl :args (@t293)) % 1.14/1.36 (step @p278 :rule refl :args (@t294)) % 1.14/1.36 (step @p279 :rule nary_cong :premises (@p278 @p277 @p276) :args ((or @t294 @t293 (not @t288)))) % 1.14/1.36 (assume-push @p315 @t287) % 1.14/1.36 (assume-push @p316 @t288) % 1.14/1.36 (step @p282 :rule evaluate :args ((= true false))) % 1.14/1.36 (step @p283 :rule false_intro :premises (@p275)) % 1.14/1.36 (step @p284 :rule symm :premises (@p169)) % 1.14/1.36 (step @p285 :rule cong :premises (@p284) :args (@t291)) % 1.14/1.36 (step @p286 :rule trans :premises (@p173 @p285)) % 1.14/1.36 (step @p287 :rule cong :premises (@p286) :args (@t246)) % 1.14/1.36 (step @p288 :rule chain_m_resolution :premises (@p168 @p153) :args (@t247 @t250 @t251)) % 1.14/1.36 (step @p289 :rule trans :premises (@p288 @p287)) % 1.14/1.36 (step @p290 :rule true_intro :premises (@p289)) % 1.14/1.36 (step @p291 :rule symm :premises (@p290)) % 1.14/1.36 (step @p292 :rule trans :premises (@p291 @p283)) % 1.14/1.36 (step @p293 false :rule eq_resolve :premises (@p292 @p282)) % 1.14/1.36 (step-pop @p317 :rule scope :premises (@p293)) % 1.14/1.36 (step-pop @p318 :rule scope :premises (@p317)) % 1.14/1.36 (step @p294 :rule process_scope :premises (@p318) :args (false)) % 1.14/1.36 (assume-push @p319 @t247) % 1.14/1.36 (assume-push @p320 @t292) % 1.14/1.36 (assume-push @p321 @t288) % 1.14/1.36 (step @p284 :rule symm :premises (@p169)) % 1.14/1.36 (step @p285 :rule cong :premises (@p284) :args (@t291)) % 1.14/1.36 (step @p286 :rule trans :premises (@p173 @p285)) % 1.14/1.36 (step @p287 :rule cong :premises (@p286) :args (@t246)) % 1.14/1.36 (step @p300 :rule trans :premises (@p169 @p287)) % 1.14/1.36 (step @p301 :rule and_intro :premises (@p300 @p275)) % 1.14/1.36 (step-pop @p322 :rule scope :premises (@p301)) % 1.14/1.36 (step-pop @p323 :rule scope :premises (@p322)) % 1.14/1.36 (step-pop @p324 :rule scope :premises (@p323)) % 1.14/1.36 (step @p302 :rule process_scope :premises (@p324) :args (@t295)) % 1.14/1.36 (step @p306 :rule implies_elim :premises (@p302)) % 1.14/1.36 (step @p307 :rule resolution :premises (@p306 @p294) :args (true @t295)) % 1.14/1.36 (step @p308 :rule not_and :premises (@p307)) % 1.14/1.36 (step @p309 :rule eq_resolve :premises (@p308 @p279)) % 1.14/1.36 (step @p310 false :rule chain_m_resolution :premises (@p309 @p275 @p173 @p169) :args (false (@list true false false) (@list @t287 @t292 @t247))) % 1.14/1.36 ) % 1.14/1.36 % SZS output end Proof % 1.14/1.36 % cvc5 exiting %------------------------------------------------------------------------------