%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : COM224_1 : TPTP v9.3.0. Released v9.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n006.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 0.38s 0.73s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : COM224_1 : TPTP v9.3.0. Released v9.3.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n006.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 20:32:04 EDT 2026 % 0.17/0.34 % CPUTime : % 0.29/0.52 %----Proving TF0_NAR, FOF, or CNF % 0.38/0.73 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.73 % SZS status Theorem % 0.38/0.73 % SZS output start Proof % 0.38/0.73 ( % 0.38/0.73 (declare-sort tptp.vTy 0) % 0.38/0.73 (declare-sort tptp.vOptTerm 0) % 0.38/0.73 (declare-sort tptp.vTerm 0) % 0.38/0.73 (declare-const tptp.vt1 tptp.vTerm) % 0.38/0.73 (declare-const tptp.vptchecksimple (-> tptp.vTerm tptp.vTy Bool)) % 0.38/0.73 (declare-const tptp.vreduce (-> tptp.vTerm tptp.vOptTerm)) % 0.38/0.73 (declare-const tptp.vplusop (-> tptp.vTerm tptp.vTerm tptp.vTerm)) % 0.38/0.73 (declare-const tptp.visSomeTerm (-> tptp.vOptTerm Bool)) % 0.38/0.73 (declare-const tptp.visValue (-> tptp.vTerm Bool)) % 0.38/0.73 (declare-const tptp.visNV (-> tptp.vTerm Bool)) % 0.38/0.73 (declare-const tptp.vPlus (-> tptp.vTerm tptp.vTerm tptp.vTerm)) % 0.38/0.73 (declare-const tptp.vIszero (-> tptp.vTerm tptp.vTerm)) % 0.38/0.73 (declare-const tptp.vPred (-> tptp.vTerm tptp.vTerm)) % 0.38/0.73 (declare-const tptp.vSucc (-> tptp.vTerm tptp.vTerm)) % 0.38/0.73 (declare-const tptp.vIfelse (-> tptp.vTerm tptp.vTerm tptp.vTerm tptp.vTerm)) % 0.38/0.73 (declare-const tptp.vZero tptp.vTerm) % 0.38/0.73 (declare-const tptp.vFalse tptp.vTerm) % 0.38/0.73 (declare-const tptp.vTrue tptp.vTerm) % 0.38/0.73 (declare-const tptp.vsomeTerm (-> tptp.vTerm tptp.vOptTerm)) % 0.38/0.73 (declare-const tptp.vnoTerm tptp.vOptTerm) % 0.38/0.73 (declare-const tptp.vNat tptp.vTy) % 0.38/0.73 (declare-const tptp.vB tptp.vTy) % 0.38/0.73 (declare-const tptp.vgetTerm (-> tptp.vOptTerm tptp.vTerm)) % 0.38/0.73 (define @t1 () (@var "VTerm1" tptp.vTerm)) % 0.38/0.73 (define @t2 () (@var "VTerm0" tptp.vTerm)) % 0.38/0.73 (define @t3 () (tptp.vPlus @t2 @t1)) % 0.38/0.73 (define @t4 () (@var "VX" tptp.vTerm)) % 0.38/0.73 (define @t5 () (@list @t2 @t1)) % 0.38/0.73 (define @t6 () (tptp.vIszero @t2)) % 0.38/0.73 (define @t7 () (@list @t2)) % 0.38/0.73 (define @t8 () (tptp.vPred @t2)) % 0.38/0.73 (define @t9 () (tptp.vSucc @t2)) % 0.38/0.73 (define @t10 () (@var "VTerm2" tptp.vTerm)) % 0.38/0.73 (define @t11 () (tptp.vIfelse @t2 @t1 @t10)) % 0.38/0.73 (define @t12 () (@list @t2 @t1 @t10)) % 0.38/0.73 (define @t13 () (@var "VTerm5" tptp.vTerm)) % 0.38/0.73 (define @t14 () (@var "VTerm4" tptp.vTerm)) % 0.38/0.73 (define @t15 () (@var "VTerm3" tptp.vTerm)) % 0.38/0.73 (define @t16 () (= @t2 @t1)) % 0.38/0.73 (define @t17 () (tptp.vPred @t1)) % 0.38/0.73 (define @t18 () (tptp.vIszero @t1)) % 0.38/0.73 (define @t19 () (@list @t2 @t1 @t10 @t15)) % 0.38/0.73 (define @t20 () (tptp.vPlus @t1 @t10)) % 0.38/0.73 (define @t21 () (tptp.vsomeTerm @t2)) % 0.38/0.73 (define @t22 () (@var "VX" tptp.vOptTerm)) % 0.38/0.73 (define @t23 () (@var "VX" tptp.vTy)) % 0.38/0.73 (define @t24 () (@var "Vt" tptp.vTerm)) % 0.38/0.73 (define @t25 () (tptp.vgetTerm (tptp.vsomeTerm @t24))) % 0.38/0.73 (define @t26 () (@list @t24)) % 0.38/0.73 (define @t27 () (forall @t26 (= @t25 @t24))) % 0.38/0.73 (define @t28 () (@var "Vnv" tptp.vTerm)) % 0.38/0.73 (define @t29 () (tptp.visNV @t28)) % 0.38/0.73 (define @t30 () (tptp.vSucc @t28)) % 0.38/0.73 (define @t31 () (@list @t28)) % 0.38/0.73 (define @t32 () (@var "VwildcardName0" tptp.vTerm)) % 0.38/0.73 (define @t33 () (@var "Vnv0" tptp.vTerm)) % 0.38/0.73 (define @t34 () (tptp.vSucc @t33)) % 0.38/0.73 (define @t35 () (@list @t33)) % 0.38/0.73 (define @t36 () (forall @t35 (not (= @t32 @t34)))) % 0.38/0.73 (define @t37 () (not (= @t32 tptp.vZero))) % 0.38/0.73 (define @t38 () (@list @t32)) % 0.38/0.73 (define @t39 () (= @t2 @t30)) % 0.38/0.73 (define @t40 () (tptp.visNV @t2)) % 0.38/0.73 (define @t41 () (not @t29)) % 0.38/0.73 (define @t42 () (@var "Vt1" tptp.vTerm)) % 0.38/0.73 (define @t43 () (tptp.visNV @t42)) % 0.38/0.73 (define @t44 () (not (= @t42 tptp.vFalse))) % 0.38/0.73 (define @t45 () (not (= @t42 tptp.vTrue))) % 0.38/0.73 (define @t46 () (@list @t42)) % 0.38/0.73 (define @t47 () (= @t2 @t42)) % 0.38/0.73 (define @t48 () (tptp.visValue @t2)) % 0.38/0.73 (define @t49 () (not @t43)) % 0.38/0.73 (define @t50 () (tptp.vsomeTerm @t32)) % 0.38/0.73 (define @t51 () (@var "VOptTerm0" tptp.vOptTerm)) % 0.38/0.73 (define @t52 () (tptp.visSomeTerm @t51)) % 0.38/0.73 (define @t53 () (@list @t51)) % 0.38/0.73 (define @t54 () (@var "Vt2" tptp.vTerm)) % 0.38/0.73 (define @t55 () (@var "Vt3" tptp.vTerm)) % 0.38/0.73 (define @t56 () (tptp.vplusop @t54 @t55)) % 0.38/0.73 (define @t57 () (@list @t54 @t55)) % 0.38/0.73 (define @t58 () (@var "Vt30" tptp.vTerm)) % 0.38/0.73 (define @t59 () (tptp.vSucc @t58)) % 0.38/0.73 (define @t60 () (@var "Vt31" tptp.vTerm)) % 0.38/0.73 (define @t61 () (tptp.vplusop @t2 @t1)) % 0.38/0.73 (define @t62 () (@var "Vt22" tptp.vTerm)) % 0.38/0.73 (define @t63 () (@var "Vt3000" tptp.vTerm)) % 0.38/0.73 (define @t64 () (@var "Vt21" tptp.vTerm)) % 0.38/0.73 (define @t65 () (@var "Vt20" tptp.vTerm)) % 0.38/0.73 (define @t66 () (tptp.vreduce @t42)) % 0.38/0.73 (define @t67 () (tptp.vgetTerm @t66)) % 0.38/0.73 (define @t68 () (tptp.vIfelse @t42 @t54 @t55)) % 0.38/0.73 (define @t69 () (tptp.vreduce @t68)) % 0.38/0.73 (define @t70 () (tptp.visSomeTerm @t66)) % 0.38/0.73 (define @t71 () (@var "Vt301" tptp.vTerm)) % 0.38/0.73 (define @t72 () (@var "Vt201" tptp.vTerm)) % 0.38/0.73 (define @t73 () (forall (@list @t72 @t71) (or @t44 (not (= @t54 @t72)) (not (= @t55 @t71))))) % 0.38/0.73 (define @t74 () (@var "Vt300" tptp.vTerm)) % 0.38/0.73 (define @t75 () (@var "Vt200" tptp.vTerm)) % 0.38/0.73 (define @t76 () (forall (@list @t75 @t74) (or @t45 (not (= @t54 @t75)) (not (= @t55 @t74))))) % 0.38/0.73 (define @t77 () (@list @t42 @t54 @t55)) % 0.38/0.73 (define @t78 () (not @t70)) % 0.38/0.73 (define @t79 () (tptp.vSucc @t42)) % 0.38/0.73 (define @t80 () (tptp.vreduce @t79)) % 0.38/0.73 (define @t81 () (tptp.vsomeTerm tptp.vZero)) % 0.38/0.73 (define @t82 () (tptp.vPred tptp.vZero)) % 0.38/0.73 (define @t83 () (tptp.vreduce (tptp.vPred @t30))) % 0.38/0.73 (define @t84 () (= @t83 (tptp.vsomeTerm @t28))) % 0.38/0.73 (define @t85 () (forall @t31 (=> @t29 @t84))) % 0.38/0.73 (define @t86 () (tptp.vreduce @t30)) % 0.38/0.73 (define @t87 () (tptp.vgetTerm @t86)) % 0.38/0.73 (define @t88 () (tptp.visSomeTerm @t86)) % 0.38/0.73 (define @t89 () (and @t41 @t88)) % 0.38/0.73 (define @t90 () (and @t41 (not @t88))) % 0.38/0.73 (define @t91 () (tptp.vPred @t42)) % 0.38/0.73 (define @t92 () (tptp.vreduce @t91)) % 0.38/0.73 (define @t93 () (@var "Vnv00" tptp.vTerm)) % 0.38/0.73 (define @t94 () (forall (@list @t93) (not (= @t42 (tptp.vSucc @t93))))) % 0.38/0.73 (define @t95 () (not (= @t42 tptp.vZero))) % 0.38/0.73 (define @t96 () (and @t95 @t94 @t70)) % 0.38/0.73 (define @t97 () (and @t95 @t94 @t78)) % 0.38/0.73 (define @t98 () (tptp.vsomeTerm tptp.vTrue)) % 0.38/0.73 (define @t99 () (tptp.vIszero tptp.vZero)) % 0.38/0.73 (define @t100 () (tptp.vsomeTerm tptp.vFalse)) % 0.38/0.73 (define @t101 () (tptp.vreduce (tptp.vIszero @t30))) % 0.38/0.73 (define @t102 () (tptp.vIszero @t42)) % 0.38/0.73 (define @t103 () (tptp.vreduce @t102)) % 0.38/0.73 (define @t104 () (tptp.vPlus @t42 @t54)) % 0.38/0.73 (define @t105 () (tptp.vreduce @t104)) % 0.38/0.73 (define @t106 () (tptp.visNV @t54)) % 0.38/0.73 (define @t107 () (@list @t42 @t54)) % 0.38/0.73 (define @t108 () (tptp.vreduce @t54)) % 0.38/0.73 (define @t109 () (tptp.visSomeTerm @t108)) % 0.38/0.73 (define @t110 () (not @t106)) % 0.38/0.73 (define @t111 () (= @t105 tptp.vnoTerm)) % 0.38/0.73 (define @t112 () (@var "Vt10" tptp.vTerm)) % 0.38/0.73 (define @t113 () (@list @t112)) % 0.38/0.73 (define @t114 () (tptp.vPred @t34)) % 0.38/0.73 (define @t115 () (@list @t65 @t58)) % 0.38/0.73 (define @t116 () (tptp.vIfelse tptp.vTrue @t65 @t58)) % 0.38/0.73 (define @t117 () (tptp.vreduce @t2)) % 0.38/0.73 (define @t118 () (= @t117 tptp.vnoTerm)) % 0.38/0.73 (define @t119 () (@var "VwildcardName00" tptp.vTerm)) % 0.38/0.73 (define @t120 () (@var "Vt2080" tptp.vTerm)) % 0.38/0.73 (define @t121 () (@var "Vt1040" tptp.vTerm)) % 0.38/0.73 (define @t122 () (@var "Vt1030" tptp.vTerm)) % 0.38/0.73 (define @t123 () (@var "Vnv050" tptp.vTerm)) % 0.38/0.73 (define @t124 () (@var "Vt1020" tptp.vTerm)) % 0.38/0.73 (define @t125 () (@var "Vnv040" tptp.vTerm)) % 0.38/0.73 (define @t126 () (@var "Vt1010" tptp.vTerm)) % 0.38/0.73 (define @t127 () (@var "Vt3070" tptp.vTerm)) % 0.38/0.73 (define @t128 () (@var "Vt2070" tptp.vTerm)) % 0.38/0.73 (define @t129 () (@var "Vt1000" tptp.vTerm)) % 0.38/0.73 (define @t130 () (@var "Vt3060" tptp.vTerm)) % 0.38/0.73 (define @t131 () (@var "Vt2060" tptp.vTerm)) % 0.38/0.73 (define @t132 () (@var "Vt3050" tptp.vTerm)) % 0.38/0.73 (define @t133 () (@var "Vt2050" tptp.vTerm)) % 0.38/0.73 (define @t134 () (@var "Vt28" tptp.vTerm)) % 0.38/0.73 (define @t135 () (@var "Vt112" tptp.vTerm)) % 0.38/0.73 (define @t136 () (@var "Vot13" tptp.vOptTerm)) % 0.38/0.73 (define @t137 () (@var "Vt27" tptp.vTerm)) % 0.38/0.73 (define @t138 () (@var "Vot12" tptp.vOptTerm)) % 0.38/0.73 (define @t139 () (@var "Vt111" tptp.vTerm)) % 0.38/0.73 (define @t140 () (@var "Vt26" tptp.vTerm)) % 0.38/0.73 (define @t141 () (@var "Vt110" tptp.vTerm)) % 0.38/0.73 (define @t142 () (@var "Vot211" tptp.vOptTerm)) % 0.38/0.73 (define @t143 () (@var "Vot210" tptp.vOptTerm)) % 0.38/0.73 (define @t144 () (@var "Vt19" tptp.vTerm)) % 0.38/0.73 (define @t145 () (@var "Vt25" tptp.vTerm)) % 0.38/0.73 (define @t146 () (@var "Vt24" tptp.vTerm)) % 0.38/0.73 (define @t147 () (@var "Vt18" tptp.vTerm)) % 0.38/0.73 (define @t148 () (@var "Vt17" tptp.vTerm)) % 0.38/0.73 (define @t149 () (@var "Vot29" tptp.vOptTerm)) % 0.38/0.73 (define @t150 () (@var "Vnv030" tptp.vTerm)) % 0.38/0.73 (define @t151 () (@var "Vot28" tptp.vOptTerm)) % 0.38/0.73 (define @t152 () (@var "Vt16" tptp.vTerm)) % 0.38/0.73 (define @t153 () (@var "Vnv020" tptp.vTerm)) % 0.38/0.73 (define @t154 () (@var "Vnv5" tptp.vTerm)) % 0.38/0.73 (define @t155 () (tptp.vSucc @t154)) % 0.38/0.73 (define @t156 () (@var "Vot27" tptp.vOptTerm)) % 0.38/0.73 (define @t157 () (@var "Vot26" tptp.vOptTerm)) % 0.38/0.73 (define @t158 () (@var "Vnv4" tptp.vTerm)) % 0.38/0.73 (define @t159 () (tptp.vSucc @t158)) % 0.38/0.73 (define @t160 () (@var "Vnv3" tptp.vTerm)) % 0.38/0.73 (define @t161 () (@var "Vt15" tptp.vTerm)) % 0.38/0.73 (define @t162 () (@var "Vot25" tptp.vOptTerm)) % 0.38/0.73 (define @t163 () (@var "Vnv010" tptp.vTerm)) % 0.38/0.73 (define @t164 () (@var "Vot24" tptp.vOptTerm)) % 0.38/0.73 (define @t165 () (@var "Vt14" tptp.vTerm)) % 0.38/0.73 (define @t166 () (@var "Vnv000" tptp.vTerm)) % 0.38/0.73 (define @t167 () (@var "Vnv2" tptp.vTerm)) % 0.38/0.73 (define @t168 () (tptp.vSucc @t167)) % 0.38/0.73 (define @t169 () (@var "Vot23" tptp.vOptTerm)) % 0.38/0.73 (define @t170 () (@var "Vot22" tptp.vOptTerm)) % 0.38/0.73 (define @t171 () (@var "Vnv1" tptp.vTerm)) % 0.38/0.73 (define @t172 () (tptp.vSucc @t171)) % 0.38/0.73 (define @t173 () (@var "Vt13" tptp.vTerm)) % 0.38/0.73 (define @t174 () (@var "Vot21" tptp.vOptTerm)) % 0.38/0.73 (define @t175 () (@var "Vot20" tptp.vOptTerm)) % 0.38/0.73 (define @t176 () (@var "Vt12" tptp.vTerm)) % 0.38/0.73 (define @t177 () (@var "Vt33" tptp.vTerm)) % 0.38/0.73 (define @t178 () (@var "Vt23" tptp.vTerm)) % 0.38/0.73 (define @t179 () (@var "Vt11" tptp.vTerm)) % 0.38/0.73 (define @t180 () (@var "Vot11" tptp.vOptTerm)) % 0.38/0.73 (define @t181 () (@var "Vt3040" tptp.vTerm)) % 0.38/0.73 (define @t182 () (@var "Vt2040" tptp.vTerm)) % 0.38/0.73 (define @t183 () (@var "Vt3030" tptp.vTerm)) % 0.38/0.73 (define @t184 () (@var "Vt2030" tptp.vTerm)) % 0.38/0.73 (define @t185 () (@var "Vt32" tptp.vTerm)) % 0.38/0.73 (define @t186 () (@var "Vot10" tptp.vOptTerm)) % 0.38/0.73 (define @t187 () (@var "Vt3020" tptp.vTerm)) % 0.38/0.73 (define @t188 () (@var "Vt2020" tptp.vTerm)) % 0.38/0.73 (define @t189 () (@var "Vt3010" tptp.vTerm)) % 0.38/0.73 (define @t190 () (@var "Vt2010" tptp.vTerm)) % 0.38/0.73 (define @t191 () (@var "VT" tptp.vTy)) % 0.38/0.73 (define @t192 () (tptp.vptchecksimple @t68 @t191)) % 0.38/0.73 (define @t193 () (tptp.vptchecksimple @t55 @t191)) % 0.38/0.73 (define @t194 () (tptp.vptchecksimple @t54 @t191)) % 0.38/0.73 (define @t195 () (tptp.vptchecksimple @t42 tptp.vB)) % 0.38/0.73 (define @t196 () (@list @t42 @t54 @t55 @t191)) % 0.38/0.73 (define @t197 () (= @t191 tptp.vNat)) % 0.38/0.73 (define @t198 () (tptp.vptchecksimple @t79 tptp.vNat)) % 0.38/0.73 (define @t199 () (tptp.vptchecksimple @t42 tptp.vNat)) % 0.38/0.73 (define @t200 () (@list @t42 @t191)) % 0.38/0.73 (define @t201 () (tptp.vptchecksimple @t91 tptp.vNat)) % 0.38/0.73 (define @t202 () (tptp.vptchecksimple @t91 @t191)) % 0.38/0.73 (define @t203 () (=> @t202 @t197)) % 0.38/0.73 (define @t204 () (forall @t200 @t203)) % 0.38/0.73 (define @t205 () (tptp.vptchecksimple @t102 tptp.vB)) % 0.38/0.73 (define @t206 () (tptp.vptchecksimple @t104 tptp.vNat)) % 0.38/0.73 (define @t207 () (tptp.vptchecksimple @t54 tptp.vNat)) % 0.38/0.73 (define @t208 () (@var "Vtres" tptp.vTerm)) % 0.38/0.73 (define @t209 () (tptp.vptchecksimple @t208 @t191)) % 0.38/0.73 (define @t210 () (tptp.vsomeTerm @t208)) % 0.38/0.73 (define @t211 () (@list @t191 @t208)) % 0.38/0.73 (define @t212 () (tptp.vptchecksimple @t24 tptp.vNat)) % 0.38/0.73 (define @t213 () (tptp.visNV @t24)) % 0.38/0.73 (define @t214 () (forall @t26 (=> @t213 @t212))) % 0.38/0.73 (define @t215 () (tptp.vPred tptp.vt1)) % 0.38/0.73 (define @t216 () (tptp.vreduce @t215)) % 0.38/0.73 (define @t217 () (tptp.vptchecksimple @t215 @t191)) % 0.38/0.73 (define @t218 () (= tptp.vt1 @t30)) % 0.38/0.73 (define @t219 () (not (= tptp.vt1 tptp.vZero))) % 0.38/0.73 (define @t220 () (and @t29 @t219 @t218 @t217 (= @t216 @t210))) % 0.38/0.73 (define @t221 () (=> @t220 @t209)) % 0.38/0.73 (define @t222 () (@list @t28 @t191 @t208)) % 0.38/0.73 (define @t223 () (forall @t222 @t221)) % 0.38/0.73 (define @t224 () (not @t223)) % 0.38/0.73 (define @t225 () (= @t210 @t216)) % 0.38/0.73 (define @t226 () (not @t225)) % 0.38/0.73 (define @t227 () (not @t217)) % 0.38/0.73 (define @t228 () (or @t227 @t226 @t209)) % 0.38/0.73 (define @t229 () (forall @t211 @t228)) % 0.38/0.73 (define @t230 () (not @t218)) % 0.38/0.73 (define @t231 () (or @t41 @t230)) % 0.38/0.73 (define @t232 () (forall @t31 @t231)) % 0.38/0.73 (define @t233 () (= tptp.vZero tptp.vt1)) % 0.38/0.73 (define @t234 () (or @t233 @t231 @t228)) % 0.38/0.73 (define @t235 () (or @t41 @t233 @t230 @t227 @t226 @t209)) % 0.38/0.73 (define @t236 () (not @t233)) % 0.38/0.73 (define @t237 () (not @t236)) % 0.38/0.73 (define @t238 () (or @t41 @t237 @t230 @t227 @t226)) % 0.38/0.73 (define @t239 () (and @t29 @t236 @t218 @t217 @t225)) % 0.38/0.73 (define @t240 () (@quantifiers_skolemize @t229 0)) % 0.38/0.73 (define @t241 () (@quantifiers_skolemize @t229 1)) % 0.38/0.73 (define @t242 () (tptp.vptchecksimple @t241 @t240)) % 0.38/0.73 (define @t243 () (tptp.vsomeTerm @t241)) % 0.38/0.73 (define @t244 () (= @t216 @t243)) % 0.38/0.73 (define @t245 () (not @t244)) % 0.38/0.73 (define @t246 () (tptp.vptchecksimple @t215 @t240)) % 0.38/0.73 (define @t247 () (not @t246)) % 0.38/0.73 (define @t248 () (or @t247 @t245 @t242)) % 0.38/0.73 (define @t249 () (not @t248)) % 0.38/0.73 (define @t250 () (not @t229)) % 0.38/0.73 (define @t251 () (not (= @t243 @t216))) % 0.38/0.73 (define @t252 () (or @t247 @t251 @t242)) % 0.38/0.73 (define @t253 () (not @t252)) % 0.38/0.73 (define @t254 () (@list true)) % 0.38/0.73 (define @t255 () (@list @t248)) % 0.38/0.73 (define @t256 () (= tptp.vNat @t191)) % 0.38/0.73 (define @t257 () (= tptp.vNat @t240)) % 0.38/0.73 (define @t258 () (or @t247 @t257)) % 0.38/0.73 (define @t259 () (@list false false)) % 0.38/0.73 (define @t260 () (@quantifiers_skolemize @t232 0)) % 0.38/0.73 (define @t261 () (tptp.vSucc @t260)) % 0.38/0.73 (define @t262 () (= tptp.vt1 @t261)) % 0.38/0.73 (define @t263 () (not @t262)) % 0.38/0.73 (define @t264 () (tptp.visNV @t260)) % 0.38/0.73 (define @t265 () (not @t264)) % 0.38/0.73 (define @t266 () (or @t265 @t263)) % 0.38/0.73 (define @t267 () (@list @t266)) % 0.38/0.73 (define @t268 () (tptp.vPred @t261)) % 0.38/0.73 (define @t269 () (tptp.vreduce @t268)) % 0.38/0.73 (define @t270 () (@list @t260)) % 0.38/0.73 (define @t271 () (tptp.vsomeTerm @t260)) % 0.38/0.73 (define @t272 () (= @t269 @t271)) % 0.38/0.73 (define @t273 () (or @t265 @t272)) % 0.38/0.73 (define @t274 () (tptp.vptchecksimple @t260 tptp.vNat)) % 0.38/0.73 (define @t275 () (or @t265 @t274)) % 0.38/0.73 (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))))) % 0.38/0.73 (assume @p2 (forall (@list @t15 @t10 @t1 @t14 @t2 @t13) (=> (= @t11 (tptp.vIfelse @t15 @t14 @t13)) (and (= @t2 @t15) (= @t1 @t14) (= @t10 @t13))))) % 0.38/0.73 (assume @p3 (forall @t5 (=> (= @t9 (tptp.vSucc @t1)) @t16))) % 0.38/0.73 (assume @p4 (forall @t5 (=> (= @t8 @t17) @t16))) % 0.38/0.73 (assume @p5 (forall @t5 (=> (= @t6 @t18) @t16))) % 0.38/0.73 (assume @p6 (forall @t19 (=> (= @t3 (tptp.vPlus @t10 @t15)) (and (= @t2 @t10) (= @t1 @t15))))) % 0.38/0.73 (assume @p7 (not (= tptp.vTrue tptp.vFalse))) % 0.38/0.73 (assume @p8 (forall @t12 (not (= tptp.vTrue @t11)))) % 0.38/0.73 (assume @p9 (not (= tptp.vTrue tptp.vZero))) % 0.38/0.73 (assume @p10 (forall @t7 (not (= tptp.vTrue @t9)))) % 0.38/0.73 (assume @p11 (forall @t7 (not (= tptp.vTrue @t8)))) % 0.38/0.73 (assume @p12 (forall @t7 (not (= tptp.vTrue @t6)))) % 0.38/0.73 (assume @p13 (forall @t5 (not (= tptp.vTrue @t3)))) % 0.38/0.73 (assume @p14 (forall @t12 (not (= tptp.vFalse @t11)))) % 0.38/0.73 (assume @p15 (not (= tptp.vFalse tptp.vZero))) % 0.38/0.73 (assume @p16 (forall @t7 (not (= tptp.vFalse @t9)))) % 0.38/0.73 (assume @p17 (forall @t7 (not (= tptp.vFalse @t8)))) % 0.38/0.73 (assume @p18 (forall @t7 (not (= tptp.vFalse @t6)))) % 0.38/0.73 (assume @p19 (forall @t5 (not (= tptp.vFalse @t3)))) % 0.38/0.73 (assume @p20 (forall @t12 (not (= @t11 tptp.vZero)))) % 0.38/0.73 (assume @p21 (forall @t19 (not (= @t11 (tptp.vSucc @t15))))) % 0.38/0.73 (assume @p22 (forall @t19 (not (= @t11 (tptp.vPred @t15))))) % 0.38/0.73 (assume @p23 (forall @t19 (not (= @t11 (tptp.vIszero @t15))))) % 0.38/0.73 (assume @p24 (forall (@list @t15 @t10 @t1 @t14 @t2) (not (= @t11 (tptp.vPlus @t15 @t14))))) % 0.38/0.73 (assume @p25 (forall @t7 (not (= tptp.vZero @t9)))) % 0.38/0.73 (assume @p26 (forall @t7 (not (= tptp.vZero @t8)))) % 0.38/0.73 (assume @p27 (forall @t7 (not (= tptp.vZero @t6)))) % 0.38/0.73 (assume @p28 (forall @t5 (not (= tptp.vZero @t3)))) % 0.38/0.73 (assume @p29 (forall @t5 (not (= @t9 @t17)))) % 0.38/0.73 (assume @p30 (forall @t5 (not (= @t9 @t18)))) % 0.38/0.73 (assume @p31 (forall @t12 (not (= @t9 @t20)))) % 0.38/0.73 (assume @p32 (forall @t5 (not (= @t8 @t18)))) % 0.38/0.73 (assume @p33 (forall @t12 (not (= @t8 @t20)))) % 0.38/0.73 (assume @p34 (forall @t12 (not (= @t6 @t20)))) % 0.38/0.73 (assume @p35 (forall (@list @t22) (or (= @t22 tptp.vnoTerm) (exists @t7 (= @t22 @t21))))) % 0.38/0.73 (assume @p36 (forall @t5 (=> (= @t21 (tptp.vsomeTerm @t1)) @t16))) % 0.38/0.73 (assume @p37 (forall @t7 (not (= tptp.vnoTerm @t21)))) % 0.38/0.73 (assume @p38 (forall (@list @t23) (or (= @t23 tptp.vB) (= @t23 tptp.vNat)))) % 0.38/0.73 (assume @p39 (not (= tptp.vB tptp.vNat))) % 0.38/0.73 (assume @p40 @t27) % 0.38/0.73 (assume @p41 (tptp.visNV tptp.vZero)) % 0.38/0.73 (assume @p42 (forall @t31 (= (tptp.visNV @t30) @t29))) % 0.38/0.73 (assume @p43 (forall @t38 (=> (and @t37 @t36) (not (tptp.visNV @t32))))) % 0.38/0.73 (assume @p44 (forall @t7 (=> @t40 (or (= @t2 tptp.vZero) (exists @t31 (and @t39 @t29)))))) % 0.38/0.73 (assume @p45 (forall @t7 (=> (not @t40) (or (exists @t31 (and @t39 @t41)) (exists @t38 (and @t37 @t36 (= @t2 @t32))))))) % 0.38/0.73 (assume @p46 (tptp.visValue tptp.vTrue)) % 0.38/0.73 (assume @p47 (tptp.visValue tptp.vFalse)) % 0.38/0.73 (assume @p48 (forall @t46 (=> (and @t45 @t44) (= (tptp.visValue @t42) @t43)))) % 0.38/0.73 (assume @p49 (forall @t7 (=> @t48 (or (= @t2 tptp.vTrue) (= @t2 tptp.vFalse) (exists @t46 (and @t45 @t44 @t47 @t43)))))) % 0.38/0.73 (assume @p50 (forall @t7 (=> (not @t48) (exists @t46 (and @t45 @t44 @t47 @t49))))) % 0.38/0.73 (assume @p51 (not (tptp.visSomeTerm tptp.vnoTerm))) % 0.38/0.73 (assume @p52 (forall @t38 (tptp.visSomeTerm @t50))) % 0.38/0.73 (assume @p53 (forall @t53 (=> @t52 (exists @t38 (= @t51 @t50))))) % 0.38/0.73 (assume @p54 (forall @t53 (=> (not @t52) (= @t51 tptp.vnoTerm)))) % 0.38/0.73 (assume @p55 (forall (@list @t54) (= (tptp.vplusop @t54 tptp.vZero) @t54))) % 0.38/0.73 (assume @p56 (forall @t57 (= (tptp.vplusop @t54 (tptp.vSucc @t55)) (tptp.vSucc @t56)))) % 0.38/0.73 (assume @p57 (forall (@list @t55 @t54) (=> (and (not (= @t55 tptp.vZero)) (forall (@list @t58) (not (= @t55 @t59)))) (= @t56 @t55)))) % 0.38/0.73 (assume @p58 (forall @t5 (or (exists (@list @t65) (and (= @t2 @t65) (= @t1 tptp.vZero) (= @t61 @t65))) (exists (@list @t58 @t64) (and (= @t2 @t64) (= @t1 @t59) (= @t61 (tptp.vSucc (tptp.vplusop @t64 @t58))))) (exists (@list @t60 @t62) (and (not (= @t60 tptp.vZero)) (forall (@list @t63) (not (= @t60 (tptp.vSucc @t63)))) (= @t2 @t62) (= @t1 @t60) (= @t61 @t60)))))) % 0.38/0.73 (assume @p59 (forall @t57 (= (tptp.vreduce (tptp.vIfelse tptp.vTrue @t54 @t55)) (tptp.vsomeTerm @t54)))) % 0.38/0.73 (assume @p60 (forall @t57 (= (tptp.vreduce (tptp.vIfelse tptp.vFalse @t54 @t55)) (tptp.vsomeTerm @t55)))) % 0.38/0.73 (assume @p61 (forall @t77 (=> (and @t76 @t73 @t70) (= @t69 (tptp.vsomeTerm (tptp.vIfelse @t67 @t54 @t55)))))) % 0.38/0.73 (assume @p62 (forall @t77 (=> (and @t76 @t73 @t78) (= @t69 tptp.vnoTerm)))) % 0.38/0.73 (assume @p63 (forall @t46 (=> @t70 (= @t80 (tptp.vsomeTerm (tptp.vSucc @t67)))))) % 0.38/0.73 (assume @p64 (forall @t46 (=> @t78 (= @t80 tptp.vnoTerm)))) % 0.38/0.73 (assume @p65 (= (tptp.vreduce @t82) @t81)) % 0.38/0.73 (assume @p66 @t85) % 0.38/0.73 (assume @p67 (forall @t31 (=> @t89 (= @t83 (tptp.vsomeTerm (tptp.vPred @t87)))))) % 0.38/0.73 (assume @p68 (forall @t31 (=> @t90 (= @t83 tptp.vnoTerm)))) % 0.38/0.73 (assume @p69 (forall @t46 (=> @t96 (= @t92 (tptp.vsomeTerm (tptp.vPred @t67)))))) % 0.38/0.73 (assume @p70 (forall @t46 (=> @t97 (= @t92 tptp.vnoTerm)))) % 0.38/0.73 (assume @p71 (= (tptp.vreduce @t99) @t98)) % 0.38/0.73 (assume @p72 (forall @t31 (=> @t29 (= @t101 @t100)))) % 0.38/0.73 (assume @p73 (forall @t31 (=> @t89 (= @t101 (tptp.vsomeTerm (tptp.vIszero @t87)))))) % 0.38/0.73 (assume @p74 (forall @t31 (=> @t90 (= @t101 tptp.vnoTerm)))) % 0.38/0.73 (assume @p75 (forall @t46 (=> @t96 (= @t103 (tptp.vsomeTerm (tptp.vIszero @t67)))))) % 0.38/0.73 (assume @p76 (forall @t46 (=> @t97 (= @t103 tptp.vnoTerm)))) % 0.38/0.73 (assume @p77 (forall @t107 (=> (and @t43 @t106) (= @t105 (tptp.vsomeTerm (tptp.vplusop @t42 @t54)))))) % 0.38/0.73 (assume @p78 (forall @t107 (=> (and @t43 @t110 @t109) (= @t105 (tptp.vsomeTerm (tptp.vPlus @t42 (tptp.vgetTerm @t108))))))) % 0.38/0.73 (assume @p79 (forall @t107 (=> (and @t43 @t110 (not @t109)) @t111))) % 0.38/0.73 (assume @p80 (forall @t107 (=> (and @t49 @t70) (= @t105 (tptp.vsomeTerm (tptp.vPlus @t67 @t54)))))) % 0.38/0.73 (assume @p81 (forall @t107 (=> (and @t49 @t78) @t111))) % 0.38/0.73 (assume @p82 (forall @t38 (=> (and (forall @t115 (not (= @t32 @t116))) (forall @t115 (not (= @t32 (tptp.vIfelse tptp.vFalse @t65 @t58)))) (forall (@list @t112 @t65 @t58) (not (= @t32 (tptp.vIfelse @t112 @t65 @t58)))) (forall @t113 (not (= @t32 (tptp.vSucc @t112)))) (not (= @t32 @t82)) (forall @t35 (not (= @t32 @t114))) (forall @t113 (not (= @t32 (tptp.vPred @t112)))) (not (= @t32 @t99)) (forall @t35 (not (= @t32 (tptp.vIszero @t34)))) (forall @t113 (not (= @t32 (tptp.vIszero @t112)))) (forall (@list @t112 @t65) (not (= @t32 (tptp.vPlus @t112 @t65))))) (= (tptp.vreduce @t32) tptp.vnoTerm)))) % 0.38/0.73 (assume @p83 (forall @t7 (or (exists @t115 (and (= @t2 @t116) (= @t117 (tptp.vsomeTerm @t65)))) (exists (@list @t64 @t60) (and (= @t2 (tptp.vIfelse tptp.vFalse @t64 @t60)) (= @t117 (tptp.vsomeTerm @t60)))) (exists (@list @t112 @t62 @t185 @t186) (and (forall (@list @t190 @t189) (or (not (= @t112 tptp.vTrue)) (not (= @t62 @t190)) (not (= @t185 @t189)))) (forall (@list @t188 @t187) (or (not (= @t112 tptp.vFalse)) (not (= @t62 @t188)) (not (= @t185 @t187)))) (= @t186 (tptp.vreduce @t112)) (tptp.visSomeTerm @t186) (= @t2 (tptp.vIfelse @t112 @t62 @t185)) (= @t117 (tptp.vsomeTerm (tptp.vIfelse (tptp.vgetTerm @t186) @t62 @t185))))) (exists (@list @t179 @t178 @t177 @t180) (and (forall (@list @t184 @t183) (or (not (= @t179 tptp.vTrue)) (not (= @t178 @t184)) (not (= @t177 @t183)))) (forall (@list @t182 @t181) (or (not (= @t179 tptp.vFalse)) (not (= @t178 @t182)) (not (= @t177 @t181)))) (= @t180 (tptp.vreduce @t179)) (not (tptp.visSomeTerm @t180)) (= @t2 (tptp.vIfelse @t179 @t178 @t177)) @t118)) (exists (@list @t176 @t175) (and (= @t175 (tptp.vreduce @t176)) (tptp.visSomeTerm @t175) (= @t2 (tptp.vSucc @t176)) (= @t117 (tptp.vsomeTerm (tptp.vSucc (tptp.vgetTerm @t175)))))) (exists (@list @t173 @t174) (and (= @t174 (tptp.vreduce @t173)) (not (tptp.visSomeTerm @t174)) (= @t2 (tptp.vSucc @t173)) @t118)) (and (= @t2 @t82) (= @t117 @t81)) (exists @t35 (and (tptp.visNV @t33) (= @t2 @t114) (= @t117 (tptp.vsomeTerm @t33)))) (exists (@list @t171 @t170) (and (not (tptp.visNV @t171)) (= @t170 (tptp.vreduce @t172)) (tptp.visSomeTerm @t170) (= @t2 (tptp.vPred @t172)) (= @t117 (tptp.vsomeTerm (tptp.vPred (tptp.vgetTerm @t170)))))) (exists (@list @t167 @t169) (and (not (tptp.visNV @t167)) (= @t169 (tptp.vreduce @t168)) (not (tptp.visSomeTerm @t169)) (= @t2 (tptp.vPred @t168)) @t118)) (exists (@list @t165 @t164) (and (not (= @t165 tptp.vZero)) (forall (@list @t166) (not (= @t165 (tptp.vSucc @t166)))) (= @t164 (tptp.vreduce @t165)) (tptp.visSomeTerm @t164) (= @t2 (tptp.vPred @t165)) (= @t117 (tptp.vsomeTerm (tptp.vPred (tptp.vgetTerm @t164)))))) (exists (@list @t161 @t162) (and (not (= @t161 tptp.vZero)) (forall (@list @t163) (not (= @t161 (tptp.vSucc @t163)))) (= @t162 (tptp.vreduce @t161)) (not (tptp.visSomeTerm @t162)) (= @t2 (tptp.vPred @t161)) @t118)) (and (= @t2 @t99) (= @t117 @t98)) (exists (@list @t160) (and (tptp.visNV @t160) (= @t2 (tptp.vIszero (tptp.vSucc @t160))) (= @t117 @t100))) (exists (@list @t158 @t157) (and (not (tptp.visNV @t158)) (= @t157 (tptp.vreduce @t159)) (tptp.visSomeTerm @t157) (= @t2 (tptp.vIszero @t159)) (= @t117 (tptp.vsomeTerm (tptp.vIszero (tptp.vgetTerm @t157)))))) (exists (@list @t154 @t156) (and (not (tptp.visNV @t154)) (= @t156 (tptp.vreduce @t155)) (not (tptp.visSomeTerm @t156)) (= @t2 (tptp.vIszero @t155)) @t118)) (exists (@list @t152 @t151) (and (not (= @t152 tptp.vZero)) (forall (@list @t153) (not (= @t152 (tptp.vSucc @t153)))) (= @t151 (tptp.vreduce @t152)) (tptp.visSomeTerm @t151) (= @t2 (tptp.vIszero @t152)) (= @t117 (tptp.vsomeTerm (tptp.vIszero (tptp.vgetTerm @t151)))))) (exists (@list @t148 @t149) (and (not (= @t148 tptp.vZero)) (forall (@list @t150) (not (= @t148 (tptp.vSucc @t150)))) (= @t149 (tptp.vreduce @t148)) (not (tptp.visSomeTerm @t149)) (= @t2 (tptp.vIszero @t148)) @t118)) (exists (@list @t147 @t146) (and (tptp.visNV @t147) (tptp.visNV @t146) (= @t2 (tptp.vPlus @t147 @t146)) (= @t117 (tptp.vsomeTerm (tptp.vplusop @t147 @t146))))) (exists (@list @t144 @t145 @t143) (and (tptp.visNV @t144) (not (tptp.visNV @t145)) (= @t143 (tptp.vreduce @t145)) (tptp.visSomeTerm @t143) (= @t2 (tptp.vPlus @t144 @t145)) (= @t117 (tptp.vsomeTerm (tptp.vPlus @t144 (tptp.vgetTerm @t143)))))) (exists (@list @t141 @t140 @t142) (and (tptp.visNV @t141) (not (tptp.visNV @t140)) (= @t142 (tptp.vreduce @t140)) (not (tptp.visSomeTerm @t142)) (= @t2 (tptp.vPlus @t141 @t140)) @t118)) (exists (@list @t139 @t137 @t138) (and (not (tptp.visNV @t139)) (= @t138 (tptp.vreduce @t139)) (tptp.visSomeTerm @t138) (= @t2 (tptp.vPlus @t139 @t137)) (= @t117 (tptp.vsomeTerm (tptp.vPlus (tptp.vgetTerm @t138) @t137))))) (exists (@list @t135 @t134 @t136) (and (not (tptp.visNV @t135)) (= @t136 (tptp.vreduce @t135)) (not (tptp.visSomeTerm @t136)) (= @t2 (tptp.vPlus @t135 @t134)) @t118)) (exists (@list @t119) (and (forall (@list @t133 @t132) (not (= @t119 (tptp.vIfelse tptp.vTrue @t133 @t132)))) (forall (@list @t131 @t130) (not (= @t119 (tptp.vIfelse tptp.vFalse @t131 @t130)))) (forall (@list @t129 @t128 @t127) (not (= @t119 (tptp.vIfelse @t129 @t128 @t127)))) (forall (@list @t126) (not (= @t119 (tptp.vSucc @t126)))) (not (= @t119 @t82)) (forall (@list @t125) (not (= @t119 (tptp.vPred (tptp.vSucc @t125))))) (forall (@list @t124) (not (= @t119 (tptp.vPred @t124)))) (not (= @t119 @t99)) (forall (@list @t123) (not (= @t119 (tptp.vIszero (tptp.vSucc @t123))))) (forall (@list @t122) (not (= @t119 (tptp.vIszero @t122)))) (forall (@list @t121 @t120) (not (= @t119 (tptp.vPlus @t121 @t120)))) (= @t2 @t119) @t118))))) % 0.38/0.73 (assume @p84 (tptp.vptchecksimple tptp.vTrue tptp.vB)) % 0.38/0.73 (assume @p85 (tptp.vptchecksimple tptp.vFalse tptp.vB)) % 0.38/0.73 (assume @p86 (forall (@list @t42 @t54 @t191 @t55) (=> (and @t195 @t194 @t193) @t192))) % 0.38/0.73 (assume @p87 (forall @t196 (=> @t192 @t195))) % 0.38/0.73 (assume @p88 (forall @t196 (=> @t192 @t194))) % 0.38/0.73 (assume @p89 (forall @t196 (=> @t192 @t193))) % 0.38/0.73 (assume @p90 (tptp.vptchecksimple tptp.vZero tptp.vNat)) % 0.38/0.73 (assume @p91 (forall (@list @t191) (=> (tptp.vptchecksimple tptp.vZero @t191) @t197))) % 0.38/0.73 (assume @p92 (forall @t46 (=> @t199 @t198))) % 0.38/0.73 (assume @p93 (forall @t200 (=> (tptp.vptchecksimple @t79 @t191) @t197))) % 0.38/0.73 (assume @p94 (forall @t46 (=> @t198 @t199))) % 0.38/0.73 (assume @p95 (forall @t46 (=> @t199 @t201))) % 0.38/0.73 (assume @p96 (forall @t46 (=> @t201 @t199))) % 0.38/0.73 (assume @p97 @t204) % 0.38/0.73 (assume @p98 (forall @t46 (=> @t199 @t205))) % 0.38/0.73 (assume @p99 (forall @t46 (=> @t205 @t199))) % 0.38/0.73 (assume @p100 (forall @t200 (=> (tptp.vptchecksimple @t102 @t191) (= @t191 tptp.vB)))) % 0.38/0.73 (assume @p101 (forall @t107 (=> (and @t199 @t207) @t206))) % 0.38/0.73 (assume @p102 (forall (@list @t42 @t54 @t191) (=> (tptp.vptchecksimple @t104 @t191) @t197))) % 0.38/0.73 (assume @p103 (forall @t107 (=> @t206 @t199))) % 0.38/0.73 (assume @p104 (forall @t107 (=> @t206 @t207))) % 0.38/0.73 (assume @p105 (forall @t211 (=> (and (tptp.vptchecksimple tptp.vt1 @t191) (= (tptp.vreduce tptp.vt1) @t210)) @t209))) % 0.38/0.73 (assume @p106 @t214) % 0.38/0.73 (assume @p107 @t224) % 0.38/0.73 (assume @p108 true) % 0.38/0.73 (step @p109 :rule evaluate :args ((= true false))) % 0.38/0.73 (step @p110 :rule quant-miniscope-or :args ((= (forall @t222 @t234) (or @t233 @t232 @t229)))) % 0.38/0.73 (step @p111 :rule aci_norm :args ((= @t235 @t234))) % 0.38/0.73 (step @p112 :rule cong :premises (@p111) :args ((forall @t222 @t235))) % 0.38/0.73 (step @p113 :rule trans :premises (@p112 @p110)) % 0.38/0.73 (step @p114 :rule aci_norm :args ((= (or (or @t41 @t233 @t230 @t227 @t226) @t209) @t235))) % 0.38/0.73 (step @p115 :rule refl :args (@t209)) % 0.38/0.73 (step @p116 :rule refl :args (@t226)) % 0.38/0.73 (step @p117 :rule refl :args (@t227)) % 0.38/0.73 (step @p118 :rule refl :args (@t230)) % 0.38/0.73 (step @p119 :rule bool-double-not-elim :args (@t233)) % 0.38/0.73 (step @p120 :rule refl :args (@t41)) % 0.38/0.73 (step @p121 :rule nary_cong :premises (@p120 @p119 @p118 @p117 @p116) :args (@t238)) % 0.38/0.73 (step @p122 :rule aci_norm :args ((= (or @t41 (or @t237 (or @t230 (or @t227 @t226)))) @t238))) % 0.38/0.73 (step @p123 :rule trans :premises (@p122 @p121)) % 0.38/0.73 (step @p124 :rule bool-and-de-morgan :args (@t217 @t225 true)) % 0.38/0.73 (step @p125 :rule nary_cong :premises (@p118 @p124) :args ((or @t230 (not (and @t217 @t225))))) % 0.38/0.73 (step @p126 :rule bool-and-de-morgan :args (@t218 @t217 (and @t225))) % 0.38/0.73 (step @p127 :rule trans :premises (@p126 @p125)) % 0.38/0.73 (step @p128 :rule refl :args (@t237)) % 0.38/0.73 (step @p129 :rule nary_cong :premises (@p128 @p127) :args ((or @t237 (not (and @t218 @t217 @t225))))) % 0.38/0.73 (step @p130 :rule bool-and-de-morgan :args (@t236 @t218 (and @t217 @t225))) % 0.38/0.73 (step @p131 :rule trans :premises (@p130 @p129)) % 0.38/0.73 (step @p132 :rule nary_cong :premises (@p120 @p131) :args ((or @t41 (not (and @t236 @t218 @t217 @t225))))) % 0.38/0.73 (step @p133 :rule bool-and-de-morgan :args (@t29 @t236 (and @t218 @t217 @t225))) % 0.38/0.73 (step @p134 :rule trans :premises (@p133 @p132)) % 0.38/0.73 (step @p135 :rule trans :premises (@p134 @p123)) % 0.38/0.73 (step @p136 :rule nary_cong :premises (@p135 @p115) :args ((or (not @t239) @t209))) % 0.38/0.73 (step @p137 :rule trans :premises (@p136 @p114)) % 0.38/0.73 (step @p138 :rule bool-impl-elim :args (@t239 @t209)) % 0.38/0.73 (step @p139 :rule trans :premises (@p138 @p137)) % 0.38/0.73 (step @p140 :rule cong :premises (@p139) :args ((forall @t222 (=> @t239 @t209)))) % 0.38/0.73 (step @p141 :rule trans :premises (@p140 @p113)) % 0.38/0.73 (step @p142 :rule refl :args (@t209)) % 0.38/0.73 (step @p143 :rule eq-symm :args (@t216 @t210)) % 0.38/0.73 (step @p144 :rule refl :args (@t217)) % 0.38/0.73 (step @p145 :rule refl :args (@t218)) % 0.38/0.73 (step @p146 :rule eq-symm :args (tptp.vt1 tptp.vZero)) % 0.38/0.73 (step @p147 :rule cong :premises (@p146) :args (@t219)) % 0.38/0.73 (step @p148 :rule refl :args (@t29)) % 0.38/0.73 (step @p149 :rule nary_cong :premises (@p148 @p147 @p145 @p144 @p143) :args (@t220)) % 0.38/0.73 (step @p150 :rule cong :premises (@p149 @p142) :args (@t221)) % 0.38/0.73 (step @p151 :rule cong :premises (@p150) :args (@t223)) % 0.38/0.73 (step @p152 :rule trans :premises (@p151 @p141)) % 0.38/0.73 (step @p153 :rule cong :premises (@p152) :args (@t224)) % 0.38/0.73 (step @p154 :rule eq_resolve :premises (@p107 @p153)) % 0.38/0.73 (step @p155 :rule not_or_elim :premises (@p154) :args (2)) % 0.38/0.73 (step @p156 :rule refl :args (@t249)) % 0.38/0.73 (step @p157 :rule bool-double-not-elim :args (@t229)) % 0.38/0.73 (step @p158 :rule nary_cong :premises (@p157 @p156) :args ((or (not @t250) @t249))) % 0.38/0.73 (step @p159 :rule refl :args (@t242)) % 0.38/0.73 (step @p160 :rule eq-symm :args (@t243 @t216)) % 0.38/0.73 (step @p161 :rule cong :premises (@p160) :args (@t251)) % 0.38/0.73 (step @p162 :rule refl :args (@t247)) % 0.38/0.73 (step @p163 :rule nary_cong :premises (@p162 @p161 @p159) :args (@t252)) % 0.38/0.73 (step @p164 :rule cong :premises (@p163) :args (@t253)) % 0.38/0.73 (step @p165 :rule refl :args (@t250)) % 0.38/0.73 (step @p166 :rule cong :premises (@p165 @p164) :args ((=> @t250 @t253))) % 0.38/0.73 (assume-push @p253 @t250) % 0.38/0.73 (step @p168 :rule skolemize :premises (@p155)) % 0.38/0.73 (step-pop @p254 :rule scope :premises (@p168)) % 0.38/0.73 (step @p169 :rule process_scope :premises (@p254) :args (@t253)) % 0.38/0.73 (step @p171 :rule eq_resolve :premises (@p169 @p166)) % 0.38/0.73 (step @p172 :rule implies_elim :premises (@p171)) % 0.38/0.73 (step @p173 :rule eq_resolve :premises (@p172 @p158)) % 0.38/0.73 (step @p174 :rule chain_m_resolution :premises (@p173 @p155) :args (@t249 @t254 (@list @t229))) % 0.38/0.73 (step @p175 :rule cnf_or_neg :args (@t248 2)) % 0.38/0.73 (step @p176 :rule chain_m_resolution :premises (@p175 @p174) :args ((not @t242) @t254 @t255)) % 0.38/0.73 (step @p177 :rule false_intro :premises (@p176)) % 0.38/0.73 (step @p178 :rule bool-impl-elim :args (@t202 @t256)) % 0.38/0.73 (step @p179 :rule cong :premises (@p178) :args ((forall @t200 (=> @t202 @t256)))) % 0.38/0.73 (step @p180 :rule eq-symm :args (@t191 tptp.vNat)) % 0.38/0.73 (step @p181 :rule refl :args (@t202)) % 0.38/0.73 (step @p182 :rule cong :premises (@p181 @p180) :args (@t203)) % 0.38/0.73 (step @p183 :rule cong :premises (@p182) :args (@t204)) % 0.38/0.73 (step @p184 :rule trans :premises (@p183 @p179)) % 0.38/0.73 (step @p185 :rule eq_resolve :premises (@p97 @p184)) % 0.38/0.73 (step @p186 :rule instantiate :premises (@p185) :args ((@list tptp.vt1 @t240))) % 0.38/0.73 (step @p187 :rule bool-double-not-elim :args (@t246)) % 0.38/0.73 (step @p188 :rule refl :args (@t248)) % 0.38/0.73 (step @p189 :rule nary_cong :premises (@p188 @p187) :args ((or @t248 (not @t247)))) % 0.38/0.73 (step @p190 :rule cnf_or_neg :args (@t248 0)) % 0.38/0.73 (step @p191 :rule eq_resolve :premises (@p190 @p189)) % 0.38/0.73 (step @p192 :rule reordering :premises (@p191) :args ((or @t246 @t248))) % 0.38/0.73 (step @p193 :rule chain_m_resolution :premises (@p192 @p174) :args (@t246 @t254 @t255)) % 0.38/0.73 (step @p194 :rule cnf_or_pos :args (@t258)) % 0.38/0.73 (step @p195 :rule reordering :premises (@p194) :args ((or @t247 @t257 (not @t258)))) % 0.38/0.73 (step @p196 :rule chain_m_resolution :premises (@p195 @p193 @p186) :args (@t257 @t259 (@list @t246 @t258))) % 0.38/0.73 (step @p197 :rule refl :args (@t241)) % 0.38/0.73 (step @p198 :rule cong :premises (@p197 @p196) :args ((tptp.vptchecksimple @t241 tptp.vNat))) % 0.38/0.73 (step @p199 :rule refl :args (tptp.vNat)) % 0.38/0.73 (step @p200 :rule eq-symm :args (@t25 @t24)) % 0.38/0.73 (step @p201 :rule cong :premises (@p200) :args (@t27)) % 0.38/0.73 (step @p202 :rule eq_resolve :premises (@p40 @p201)) % 0.38/0.73 (step @p203 :rule instantiate :premises (@p202) :args ((@list @t241))) % 0.38/0.73 (step @p204 :rule symm :premises (@p203)) % 0.38/0.73 (step @p205 :rule bool-double-not-elim :args (@t244)) % 0.38/0.73 (step @p206 :rule nary_cong :premises (@p188 @p205) :args ((or @t248 (not @t245)))) % 0.38/0.73 (step @p207 :rule cnf_or_neg :args (@t248 1)) % 0.38/0.73 (step @p208 :rule eq_resolve :premises (@p207 @p206)) % 0.38/0.73 (step @p209 :rule reordering :premises (@p208) :args ((or @t244 @t248))) % 0.38/0.73 (step @p210 :rule chain_m_resolution :premises (@p209 @p174) :args (@t244 @t254 @t255)) % 0.38/0.73 (step @p211 :rule not_or_elim :premises (@p154) :args (1)) % 0.38/0.73 (step @p212 :rule skolemize :premises (@p211)) % 0.38/0.73 (step @p213 :rule bool-double-not-elim :args (@t262)) % 0.38/0.73 (step @p214 :rule refl :args (@t266)) % 0.38/0.73 (step @p215 :rule nary_cong :premises (@p214 @p213) :args ((or @t266 (not @t263)))) % 0.38/0.73 (step @p216 :rule cnf_or_neg :args (@t266 1)) % 0.38/0.73 (step @p217 :rule eq_resolve :premises (@p216 @p215)) % 0.38/0.73 (step @p218 :rule reordering :premises (@p217) :args ((or @t262 @t266))) % 0.38/0.73 (step @p219 :rule chain_m_resolution :premises (@p218 @p212) :args (@t262 @t254 @t267)) % 0.38/0.73 (step @p220 :rule symm :premises (@p219)) % 0.38/0.73 (step @p221 :rule cong :premises (@p220) :args (@t268)) % 0.38/0.73 (step @p222 :rule cong :premises (@p221) :args (@t269)) % 0.38/0.73 (step @p223 :rule bool-impl-elim :args (@t29 @t84)) % 0.38/0.73 (step @p224 :rule cong :premises (@p223) :args (@t85)) % 0.38/0.73 (step @p225 :rule eq_resolve :premises (@p66 @p224)) % 0.38/0.73 (step @p226 :rule instantiate :premises (@p225) :args (@t270)) % 0.38/0.73 (step @p227 :rule bool-double-not-elim :args (@t264)) % 0.38/0.73 (step @p228 :rule nary_cong :premises (@p214 @p227) :args ((or @t266 (not @t265)))) % 0.38/0.73 (step @p229 :rule cnf_or_neg :args (@t266 0)) % 0.38/0.73 (step @p230 :rule eq_resolve :premises (@p229 @p228)) % 0.38/0.73 (step @p231 :rule reordering :premises (@p230) :args ((or @t264 @t266))) % 0.38/0.73 (step @p232 :rule chain_m_resolution :premises (@p231 @p212) :args (@t264 @t254 @t267)) % 0.38/0.73 (step @p233 :rule cnf_or_pos :args (@t273)) % 0.38/0.73 (step @p234 :rule reordering :premises (@p233) :args ((or @t265 @t272 (not @t273)))) % 0.38/0.73 (step @p235 :rule chain_m_resolution :premises (@p234 @p232 @p226) :args (@t272 @t259 (@list @t264 @t273))) % 0.38/0.73 (step @p236 :rule symm :premises (@p235)) % 0.38/0.73 (step @p237 :rule trans :premises (@p236 @p222 @p210)) % 0.38/0.73 (step @p238 :rule cong :premises (@p237) :args ((tptp.vgetTerm @t271))) % 0.38/0.73 (step @p239 :rule instantiate :premises (@p202) :args (@t270)) % 0.38/0.73 (step @p240 :rule trans :premises (@p239 @p238 @p204)) % 0.38/0.73 (step @p241 :rule cong :premises (@p240 @p199) :args (@t274)) % 0.38/0.73 (step @p242 :rule bool-impl-elim :args (@t213 @t212)) % 0.38/0.73 (step @p243 :rule cong :premises (@p242) :args (@t214)) % 0.38/0.73 (step @p244 :rule eq_resolve :premises (@p106 @p243)) % 0.38/0.73 (step @p245 :rule instantiate :premises (@p244) :args (@t270)) % 0.38/0.73 (step @p246 :rule cnf_or_pos :args (@t275)) % 0.38/0.73 (step @p247 :rule reordering :premises (@p246) :args ((or @t265 @t274 (not @t275)))) % 0.38/0.73 (step @p248 :rule chain_m_resolution :premises (@p247 @p232 @p245) :args (@t274 @t259 (@list @t264 @t275))) % 0.38/0.73 (step @p249 :rule true_intro :premises (@p248)) % 0.38/0.73 (step @p250 :rule symm :premises (@p249)) % 0.38/0.73 (step @p251 :rule trans :premises (@p250 @p241 @p198 @p177)) % 0.38/0.73 (step @p252 false :rule eq_resolve :premises (@p251 @p109)) % 0.38/0.73 ) % 0.38/0.73 % SZS output end Proof % 0.38/0.73 % cvc5 exiting %------------------------------------------------------------------------------