%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : COM229_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 : n017.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 0.39s 0.72s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : COM229_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 : n017.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 20:30:46 EDT 2026 % 0.17/0.34 % CPUTime : % 0.28/0.52 %----Proving TF0_NAR, FOF, or CNF % 0.39/0.72 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.39/0.72 % SZS status Theorem % 0.39/0.72 % SZS output start Proof % 0.39/0.72 ( % 0.39/0.72 (declare-sort tptp.vTy 0) % 0.39/0.72 (declare-sort tptp.vOptTerm 0) % 0.39/0.72 (declare-sort tptp.vTerm 0) % 0.39/0.72 (declare-const tptp.vt1 tptp.vTerm) % 0.39/0.72 (declare-const tptp.vptchecksimple (-> tptp.vTerm tptp.vTy Bool)) % 0.39/0.72 (declare-const tptp.vreduce (-> tptp.vTerm tptp.vOptTerm)) % 0.39/0.72 (declare-const tptp.vplusop (-> tptp.vTerm tptp.vTerm tptp.vTerm)) % 0.39/0.72 (declare-const tptp.visSomeTerm (-> tptp.vOptTerm Bool)) % 0.39/0.72 (declare-const tptp.visValue (-> tptp.vTerm Bool)) % 0.39/0.72 (declare-const tptp.visNV (-> tptp.vTerm Bool)) % 0.39/0.72 (declare-const tptp.vPlus (-> tptp.vTerm tptp.vTerm tptp.vTerm)) % 0.39/0.72 (declare-const tptp.vIszero (-> tptp.vTerm tptp.vTerm)) % 0.39/0.72 (declare-const tptp.vPred (-> tptp.vTerm tptp.vTerm)) % 0.39/0.72 (declare-const tptp.vSucc (-> tptp.vTerm tptp.vTerm)) % 0.39/0.72 (declare-const tptp.vIfelse (-> tptp.vTerm tptp.vTerm tptp.vTerm tptp.vTerm)) % 0.39/0.72 (declare-const tptp.vZero tptp.vTerm) % 0.39/0.72 (declare-const tptp.vFalse tptp.vTerm) % 0.39/0.72 (declare-const tptp.vTrue tptp.vTerm) % 0.39/0.72 (declare-const tptp.vsomeTerm (-> tptp.vTerm tptp.vOptTerm)) % 0.39/0.72 (declare-const tptp.vnoTerm tptp.vOptTerm) % 0.39/0.72 (declare-const tptp.vNat tptp.vTy) % 0.39/0.72 (declare-const tptp.vB tptp.vTy) % 0.39/0.72 (declare-const tptp.vgetTerm (-> tptp.vOptTerm tptp.vTerm)) % 0.39/0.72 (define @t1 () (@var "VTerm1" tptp.vTerm)) % 0.39/0.72 (define @t2 () (@var "VTerm0" tptp.vTerm)) % 0.39/0.72 (define @t3 () (tptp.vPlus @t2 @t1)) % 0.39/0.72 (define @t4 () (@var "VX" tptp.vTerm)) % 0.39/0.72 (define @t5 () (@list @t2 @t1)) % 0.39/0.72 (define @t6 () (tptp.vIszero @t2)) % 0.39/0.72 (define @t7 () (@list @t2)) % 0.39/0.72 (define @t8 () (tptp.vPred @t2)) % 0.39/0.72 (define @t9 () (tptp.vSucc @t2)) % 0.39/0.72 (define @t10 () (@var "VTerm2" tptp.vTerm)) % 0.39/0.72 (define @t11 () (tptp.vIfelse @t2 @t1 @t10)) % 0.39/0.72 (define @t12 () (@list @t2 @t1 @t10)) % 0.39/0.72 (define @t13 () (@var "VTerm5" tptp.vTerm)) % 0.39/0.72 (define @t14 () (@var "VTerm4" tptp.vTerm)) % 0.39/0.72 (define @t15 () (@var "VTerm3" tptp.vTerm)) % 0.39/0.72 (define @t16 () (= @t2 @t1)) % 0.39/0.72 (define @t17 () (tptp.vPred @t1)) % 0.39/0.72 (define @t18 () (tptp.vIszero @t1)) % 0.39/0.72 (define @t19 () (@list @t2 @t1 @t10 @t15)) % 0.39/0.72 (define @t20 () (tptp.vPlus @t1 @t10)) % 0.39/0.72 (define @t21 () (tptp.vsomeTerm @t2)) % 0.39/0.72 (define @t22 () (@var "VX" tptp.vOptTerm)) % 0.39/0.72 (define @t23 () (@var "VX" tptp.vTy)) % 0.39/0.72 (define @t24 () (@var "Vt" tptp.vTerm)) % 0.39/0.72 (define @t25 () (@list @t24)) % 0.39/0.72 (define @t26 () (@var "Vnv" tptp.vTerm)) % 0.39/0.72 (define @t27 () (tptp.visNV @t26)) % 0.39/0.72 (define @t28 () (tptp.vSucc @t26)) % 0.39/0.72 (define @t29 () (@list @t26)) % 0.39/0.72 (define @t30 () (@var "VwildcardName0" tptp.vTerm)) % 0.39/0.72 (define @t31 () (@var "Vnv0" tptp.vTerm)) % 0.39/0.72 (define @t32 () (tptp.vSucc @t31)) % 0.39/0.72 (define @t33 () (@list @t31)) % 0.39/0.72 (define @t34 () (forall @t33 (not (= @t30 @t32)))) % 0.39/0.72 (define @t35 () (not (= @t30 tptp.vZero))) % 0.39/0.72 (define @t36 () (@list @t30)) % 0.39/0.72 (define @t37 () (= @t2 @t28)) % 0.39/0.72 (define @t38 () (tptp.visNV @t2)) % 0.39/0.72 (define @t39 () (not @t27)) % 0.39/0.72 (define @t40 () (@var "Vt1" tptp.vTerm)) % 0.39/0.72 (define @t41 () (tptp.visNV @t40)) % 0.39/0.72 (define @t42 () (not (= @t40 tptp.vFalse))) % 0.39/0.72 (define @t43 () (not (= @t40 tptp.vTrue))) % 0.39/0.72 (define @t44 () (@list @t40)) % 0.39/0.72 (define @t45 () (= @t2 @t40)) % 0.39/0.72 (define @t46 () (tptp.visValue @t2)) % 0.39/0.72 (define @t47 () (not @t41)) % 0.39/0.72 (define @t48 () (tptp.vsomeTerm @t30)) % 0.39/0.72 (define @t49 () (@var "VOptTerm0" tptp.vOptTerm)) % 0.39/0.72 (define @t50 () (tptp.visSomeTerm @t49)) % 0.39/0.72 (define @t51 () (@list @t49)) % 0.39/0.72 (define @t52 () (@var "Vt2" tptp.vTerm)) % 0.39/0.72 (define @t53 () (@var "Vt3" tptp.vTerm)) % 0.39/0.72 (define @t54 () (tptp.vplusop @t52 @t53)) % 0.39/0.72 (define @t55 () (@list @t52 @t53)) % 0.39/0.72 (define @t56 () (@var "Vt30" tptp.vTerm)) % 0.39/0.72 (define @t57 () (tptp.vSucc @t56)) % 0.39/0.72 (define @t58 () (@var "Vt31" tptp.vTerm)) % 0.39/0.72 (define @t59 () (tptp.vplusop @t2 @t1)) % 0.39/0.72 (define @t60 () (@var "Vt22" tptp.vTerm)) % 0.39/0.72 (define @t61 () (@var "Vt3000" tptp.vTerm)) % 0.39/0.72 (define @t62 () (@var "Vt21" tptp.vTerm)) % 0.39/0.72 (define @t63 () (@var "Vt20" tptp.vTerm)) % 0.39/0.72 (define @t64 () (tptp.vreduce @t40)) % 0.39/0.72 (define @t65 () (tptp.vgetTerm @t64)) % 0.39/0.72 (define @t66 () (tptp.vIfelse @t40 @t52 @t53)) % 0.39/0.72 (define @t67 () (tptp.vreduce @t66)) % 0.39/0.72 (define @t68 () (tptp.visSomeTerm @t64)) % 0.39/0.72 (define @t69 () (@var "Vt301" tptp.vTerm)) % 0.39/0.72 (define @t70 () (@var "Vt201" tptp.vTerm)) % 0.39/0.72 (define @t71 () (forall (@list @t70 @t69) (or @t42 (not (= @t52 @t70)) (not (= @t53 @t69))))) % 0.39/0.72 (define @t72 () (@var "Vt300" tptp.vTerm)) % 0.39/0.72 (define @t73 () (@var "Vt200" tptp.vTerm)) % 0.39/0.72 (define @t74 () (forall (@list @t73 @t72) (or @t43 (not (= @t52 @t73)) (not (= @t53 @t72))))) % 0.39/0.72 (define @t75 () (@list @t40 @t52 @t53)) % 0.39/0.72 (define @t76 () (not @t68)) % 0.39/0.72 (define @t77 () (tptp.vSucc @t40)) % 0.39/0.72 (define @t78 () (tptp.vreduce @t77)) % 0.39/0.72 (define @t79 () (tptp.vsomeTerm tptp.vZero)) % 0.39/0.72 (define @t80 () (tptp.vPred tptp.vZero)) % 0.39/0.72 (define @t81 () (tptp.vreduce (tptp.vPred @t28))) % 0.39/0.72 (define @t82 () (tptp.vreduce @t28)) % 0.39/0.72 (define @t83 () (tptp.vgetTerm @t82)) % 0.39/0.72 (define @t84 () (tptp.visSomeTerm @t82)) % 0.39/0.72 (define @t85 () (and @t39 @t84)) % 0.39/0.72 (define @t86 () (not @t84)) % 0.39/0.72 (define @t87 () (and @t39 @t86)) % 0.39/0.72 (define @t88 () (tptp.vPred @t40)) % 0.39/0.72 (define @t89 () (tptp.vreduce @t88)) % 0.39/0.72 (define @t90 () (@var "Vnv00" tptp.vTerm)) % 0.39/0.72 (define @t91 () (forall (@list @t90) (not (= @t40 (tptp.vSucc @t90))))) % 0.39/0.72 (define @t92 () (not (= @t40 tptp.vZero))) % 0.39/0.72 (define @t93 () (and @t92 @t91 @t68)) % 0.39/0.72 (define @t94 () (and @t92 @t91 @t76)) % 0.39/0.72 (define @t95 () (tptp.vsomeTerm tptp.vTrue)) % 0.39/0.72 (define @t96 () (tptp.vIszero tptp.vZero)) % 0.39/0.72 (define @t97 () (tptp.vsomeTerm tptp.vFalse)) % 0.39/0.72 (define @t98 () (tptp.vreduce (tptp.vIszero @t28))) % 0.39/0.72 (define @t99 () (= @t98 (tptp.vsomeTerm (tptp.vIszero @t83)))) % 0.39/0.72 (define @t100 () (forall @t29 (=> @t85 @t99))) % 0.39/0.72 (define @t101 () (tptp.vIszero @t40)) % 0.39/0.72 (define @t102 () (tptp.vreduce @t101)) % 0.39/0.72 (define @t103 () (tptp.vPlus @t40 @t52)) % 0.39/0.72 (define @t104 () (tptp.vreduce @t103)) % 0.39/0.72 (define @t105 () (tptp.visNV @t52)) % 0.39/0.72 (define @t106 () (@list @t40 @t52)) % 0.39/0.72 (define @t107 () (tptp.vreduce @t52)) % 0.39/0.72 (define @t108 () (tptp.visSomeTerm @t107)) % 0.39/0.72 (define @t109 () (not @t105)) % 0.39/0.72 (define @t110 () (= @t104 tptp.vnoTerm)) % 0.39/0.72 (define @t111 () (@var "Vt10" tptp.vTerm)) % 0.39/0.72 (define @t112 () (@list @t111)) % 0.39/0.72 (define @t113 () (tptp.vPred @t32)) % 0.39/0.72 (define @t114 () (@list @t63 @t56)) % 0.39/0.72 (define @t115 () (tptp.vIfelse tptp.vTrue @t63 @t56)) % 0.39/0.72 (define @t116 () (tptp.vreduce @t2)) % 0.39/0.72 (define @t117 () (= @t116 tptp.vnoTerm)) % 0.39/0.72 (define @t118 () (@var "VwildcardName00" tptp.vTerm)) % 0.39/0.72 (define @t119 () (@var "Vt2080" tptp.vTerm)) % 0.39/0.72 (define @t120 () (@var "Vt1040" tptp.vTerm)) % 0.39/0.72 (define @t121 () (@var "Vt1030" tptp.vTerm)) % 0.39/0.72 (define @t122 () (@var "Vnv050" tptp.vTerm)) % 0.39/0.72 (define @t123 () (@var "Vt1020" tptp.vTerm)) % 0.39/0.72 (define @t124 () (@var "Vnv040" tptp.vTerm)) % 0.39/0.72 (define @t125 () (@var "Vt1010" tptp.vTerm)) % 0.39/0.72 (define @t126 () (@var "Vt3070" tptp.vTerm)) % 0.39/0.72 (define @t127 () (@var "Vt2070" tptp.vTerm)) % 0.39/0.72 (define @t128 () (@var "Vt1000" tptp.vTerm)) % 0.39/0.72 (define @t129 () (@var "Vt3060" tptp.vTerm)) % 0.39/0.72 (define @t130 () (@var "Vt2060" tptp.vTerm)) % 0.39/0.72 (define @t131 () (@var "Vt3050" tptp.vTerm)) % 0.39/0.72 (define @t132 () (@var "Vt2050" tptp.vTerm)) % 0.39/0.72 (define @t133 () (@var "Vt28" tptp.vTerm)) % 0.39/0.72 (define @t134 () (@var "Vt112" tptp.vTerm)) % 0.39/0.72 (define @t135 () (@var "Vot13" tptp.vOptTerm)) % 0.39/0.72 (define @t136 () (@var "Vt27" tptp.vTerm)) % 0.39/0.72 (define @t137 () (@var "Vot12" tptp.vOptTerm)) % 0.39/0.72 (define @t138 () (@var "Vt111" tptp.vTerm)) % 0.39/0.72 (define @t139 () (@var "Vt26" tptp.vTerm)) % 0.39/0.72 (define @t140 () (@var "Vt110" tptp.vTerm)) % 0.39/0.72 (define @t141 () (@var "Vot211" tptp.vOptTerm)) % 0.39/0.72 (define @t142 () (@var "Vot210" tptp.vOptTerm)) % 0.39/0.72 (define @t143 () (@var "Vt19" tptp.vTerm)) % 0.39/0.72 (define @t144 () (@var "Vt25" tptp.vTerm)) % 0.39/0.72 (define @t145 () (@var "Vt24" tptp.vTerm)) % 0.39/0.72 (define @t146 () (@var "Vt18" tptp.vTerm)) % 0.39/0.72 (define @t147 () (@var "Vt17" tptp.vTerm)) % 0.39/0.72 (define @t148 () (@var "Vot29" tptp.vOptTerm)) % 0.39/0.72 (define @t149 () (@var "Vnv030" tptp.vTerm)) % 0.39/0.72 (define @t150 () (@var "Vot28" tptp.vOptTerm)) % 0.39/0.72 (define @t151 () (@var "Vt16" tptp.vTerm)) % 0.39/0.72 (define @t152 () (@var "Vnv020" tptp.vTerm)) % 0.39/0.72 (define @t153 () (@var "Vnv5" tptp.vTerm)) % 0.39/0.72 (define @t154 () (tptp.vSucc @t153)) % 0.39/0.72 (define @t155 () (@var "Vot27" tptp.vOptTerm)) % 0.39/0.72 (define @t156 () (@var "Vot26" tptp.vOptTerm)) % 0.39/0.72 (define @t157 () (@var "Vnv4" tptp.vTerm)) % 0.39/0.72 (define @t158 () (tptp.vSucc @t157)) % 0.39/0.72 (define @t159 () (@var "Vnv3" tptp.vTerm)) % 0.39/0.72 (define @t160 () (@var "Vt15" tptp.vTerm)) % 0.39/0.72 (define @t161 () (@var "Vot25" tptp.vOptTerm)) % 0.39/0.72 (define @t162 () (@var "Vnv010" tptp.vTerm)) % 0.39/0.72 (define @t163 () (@var "Vot24" tptp.vOptTerm)) % 0.39/0.72 (define @t164 () (@var "Vt14" tptp.vTerm)) % 0.39/0.72 (define @t165 () (@var "Vnv000" tptp.vTerm)) % 0.39/0.72 (define @t166 () (@var "Vnv2" tptp.vTerm)) % 0.39/0.72 (define @t167 () (tptp.vSucc @t166)) % 0.39/0.72 (define @t168 () (@var "Vot23" tptp.vOptTerm)) % 0.39/0.72 (define @t169 () (@var "Vot22" tptp.vOptTerm)) % 0.39/0.72 (define @t170 () (@var "Vnv1" tptp.vTerm)) % 0.39/0.72 (define @t171 () (tptp.vSucc @t170)) % 0.39/0.72 (define @t172 () (@var "Vt13" tptp.vTerm)) % 0.39/0.72 (define @t173 () (@var "Vot21" tptp.vOptTerm)) % 0.39/0.72 (define @t174 () (@var "Vot20" tptp.vOptTerm)) % 0.39/0.72 (define @t175 () (@var "Vt12" tptp.vTerm)) % 0.39/0.72 (define @t176 () (@var "Vt33" tptp.vTerm)) % 0.39/0.72 (define @t177 () (@var "Vt23" tptp.vTerm)) % 0.39/0.72 (define @t178 () (@var "Vt11" tptp.vTerm)) % 0.39/0.72 (define @t179 () (@var "Vot11" tptp.vOptTerm)) % 0.39/0.72 (define @t180 () (@var "Vt3040" tptp.vTerm)) % 0.39/0.72 (define @t181 () (@var "Vt2040" tptp.vTerm)) % 0.39/0.72 (define @t182 () (@var "Vt3030" tptp.vTerm)) % 0.39/0.72 (define @t183 () (@var "Vt2030" tptp.vTerm)) % 0.39/0.72 (define @t184 () (@var "Vt32" tptp.vTerm)) % 0.39/0.72 (define @t185 () (@var "Vot10" tptp.vOptTerm)) % 0.39/0.72 (define @t186 () (@var "Vt3020" tptp.vTerm)) % 0.39/0.72 (define @t187 () (@var "Vt2020" tptp.vTerm)) % 0.39/0.72 (define @t188 () (@var "Vt3010" tptp.vTerm)) % 0.39/0.72 (define @t189 () (@var "Vt2010" tptp.vTerm)) % 0.39/0.72 (define @t190 () (@var "VT" tptp.vTy)) % 0.39/0.72 (define @t191 () (tptp.vptchecksimple @t66 @t190)) % 0.39/0.72 (define @t192 () (tptp.vptchecksimple @t53 @t190)) % 0.39/0.72 (define @t193 () (tptp.vptchecksimple @t52 @t190)) % 0.39/0.72 (define @t194 () (tptp.vptchecksimple @t40 tptp.vB)) % 0.39/0.72 (define @t195 () (@list @t40 @t52 @t53 @t190)) % 0.39/0.72 (define @t196 () (= @t190 tptp.vNat)) % 0.39/0.72 (define @t197 () (@list @t190)) % 0.39/0.72 (define @t198 () (tptp.vptchecksimple @t77 tptp.vNat)) % 0.39/0.72 (define @t199 () (tptp.vptchecksimple @t40 tptp.vNat)) % 0.39/0.72 (define @t200 () (@list @t40 @t190)) % 0.39/0.72 (define @t201 () (tptp.vptchecksimple @t88 tptp.vNat)) % 0.39/0.72 (define @t202 () (tptp.vptchecksimple @t101 tptp.vB)) % 0.39/0.72 (define @t203 () (tptp.vptchecksimple @t103 tptp.vNat)) % 0.39/0.72 (define @t204 () (tptp.vptchecksimple @t52 tptp.vNat)) % 0.39/0.72 (define @t205 () (tptp.vreduce tptp.vt1)) % 0.39/0.72 (define @t206 () (tptp.vIszero tptp.vt1)) % 0.39/0.72 (define @t207 () (tptp.vreduce @t206)) % 0.39/0.72 (define @t208 () (not (= @t207 tptp.vnoTerm))) % 0.39/0.72 (define @t209 () (tptp.visValue @t206)) % 0.39/0.72 (define @t210 () (not @t209)) % 0.39/0.72 (define @t211 () (tptp.vptchecksimple @t206 @t190)) % 0.39/0.72 (define @t212 () (= tptp.vt1 @t28)) % 0.39/0.72 (define @t213 () (not (= tptp.vt1 tptp.vZero))) % 0.39/0.72 (define @t214 () (and @t84 @t39 @t213 @t212 @t211 @t210)) % 0.39/0.72 (define @t215 () (=> @t214 @t208)) % 0.39/0.72 (define @t216 () (@list @t26 @t190)) % 0.39/0.72 (define @t217 () (forall @t216 @t215)) % 0.39/0.72 (define @t218 () (not @t217)) % 0.39/0.72 (define @t219 () (not @t211)) % 0.39/0.72 (define @t220 () (not @t212)) % 0.39/0.72 (define @t221 () (or @t86 @t27 @t220)) % 0.39/0.72 (define @t222 () (forall @t29 @t221)) % 0.39/0.72 (define @t223 () (= tptp.vnoTerm @t207)) % 0.39/0.72 (define @t224 () (not @t223)) % 0.39/0.72 (define @t225 () (= tptp.vZero tptp.vt1)) % 0.39/0.72 (define @t226 () (or @t225 @t209 @t224 @t221 @t219)) % 0.39/0.72 (define @t227 () (or @t86 @t27 @t225 @t220 @t219 @t209 @t224)) % 0.39/0.72 (define @t228 () (not @t210)) % 0.39/0.72 (define @t229 () (not @t225)) % 0.39/0.72 (define @t230 () (not @t229)) % 0.39/0.72 (define @t231 () (not @t39)) % 0.39/0.72 (define @t232 () (or @t86 @t231 @t230 @t220 @t219 @t228)) % 0.39/0.72 (define @t233 () (and @t84 @t39 @t229 @t212 @t211 @t210)) % 0.39/0.72 (define @t234 () (@quantifiers_skolemize @t222 0)) % 0.39/0.72 (define @t235 () (tptp.vSucc @t234)) % 0.39/0.72 (define @t236 () (= tptp.vt1 @t235)) % 0.39/0.72 (define @t237 () (not @t236)) % 0.39/0.72 (define @t238 () (tptp.visNV @t234)) % 0.39/0.72 (define @t239 () (tptp.vreduce @t235)) % 0.39/0.72 (define @t240 () (tptp.visSomeTerm @t239)) % 0.39/0.72 (define @t241 () (not @t240)) % 0.39/0.72 (define @t242 () (or @t241 @t238 @t237)) % 0.39/0.72 (define @t243 () (@list true)) % 0.39/0.72 (define @t244 () (@list @t242)) % 0.39/0.72 (define @t245 () (tptp.vgetTerm @t239)) % 0.39/0.72 (define @t246 () (tptp.vIszero @t245)) % 0.39/0.72 (define @t247 () (tptp.vsomeTerm @t246)) % 0.39/0.72 (define @t248 () (= (tptp.vreduce (tptp.vIszero @t235)) @t247)) % 0.39/0.72 (define @t249 () (or @t238 @t241 @t248)) % 0.39/0.72 (define @t250 () (@list false true false)) % 0.39/0.72 (define @t251 () (@list @t240 @t238 @t249)) % 0.39/0.72 (define @t252 () (tptp.vIszero (tptp.vgetTerm @t205))) % 0.39/0.72 (define @t253 () (tptp.vsomeTerm @t252)) % 0.39/0.72 (define @t254 () (= tptp.vnoTerm @t253)) % 0.39/0.72 (define @t255 () (not @t248)) % 0.39/0.72 (define @t256 () (not @t254)) % 0.39/0.72 (define @t257 () (= @t207 @t253)) % 0.39/0.72 (define @t258 () (and @t256 @t257 @t223)) % 0.39/0.72 (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))))) % 0.39/0.72 (assume @p2 (forall (@list @t15 @t10 @t1 @t14 @t2 @t13) (=> (= @t11 (tptp.vIfelse @t15 @t14 @t13)) (and (= @t2 @t15) (= @t1 @t14) (= @t10 @t13))))) % 0.39/0.72 (assume @p3 (forall @t5 (=> (= @t9 (tptp.vSucc @t1)) @t16))) % 0.39/0.72 (assume @p4 (forall @t5 (=> (= @t8 @t17) @t16))) % 0.39/0.72 (assume @p5 (forall @t5 (=> (= @t6 @t18) @t16))) % 0.39/0.72 (assume @p6 (forall @t19 (=> (= @t3 (tptp.vPlus @t10 @t15)) (and (= @t2 @t10) (= @t1 @t15))))) % 0.39/0.72 (assume @p7 (not (= tptp.vTrue tptp.vFalse))) % 0.39/0.72 (assume @p8 (forall @t12 (not (= tptp.vTrue @t11)))) % 0.39/0.72 (assume @p9 (not (= tptp.vTrue tptp.vZero))) % 0.39/0.72 (assume @p10 (forall @t7 (not (= tptp.vTrue @t9)))) % 0.39/0.72 (assume @p11 (forall @t7 (not (= tptp.vTrue @t8)))) % 0.39/0.72 (assume @p12 (forall @t7 (not (= tptp.vTrue @t6)))) % 0.39/0.72 (assume @p13 (forall @t5 (not (= tptp.vTrue @t3)))) % 0.39/0.72 (assume @p14 (forall @t12 (not (= tptp.vFalse @t11)))) % 0.39/0.72 (assume @p15 (not (= tptp.vFalse tptp.vZero))) % 0.39/0.72 (assume @p16 (forall @t7 (not (= tptp.vFalse @t9)))) % 0.39/0.72 (assume @p17 (forall @t7 (not (= tptp.vFalse @t8)))) % 0.39/0.72 (assume @p18 (forall @t7 (not (= tptp.vFalse @t6)))) % 0.39/0.72 (assume @p19 (forall @t5 (not (= tptp.vFalse @t3)))) % 0.39/0.72 (assume @p20 (forall @t12 (not (= @t11 tptp.vZero)))) % 0.39/0.72 (assume @p21 (forall @t19 (not (= @t11 (tptp.vSucc @t15))))) % 0.39/0.72 (assume @p22 (forall @t19 (not (= @t11 (tptp.vPred @t15))))) % 0.39/0.72 (assume @p23 (forall @t19 (not (= @t11 (tptp.vIszero @t15))))) % 0.39/0.72 (assume @p24 (forall (@list @t15 @t10 @t1 @t14 @t2) (not (= @t11 (tptp.vPlus @t15 @t14))))) % 0.39/0.72 (assume @p25 (forall @t7 (not (= tptp.vZero @t9)))) % 0.39/0.72 (assume @p26 (forall @t7 (not (= tptp.vZero @t8)))) % 0.39/0.72 (assume @p27 (forall @t7 (not (= tptp.vZero @t6)))) % 0.39/0.72 (assume @p28 (forall @t5 (not (= tptp.vZero @t3)))) % 0.39/0.72 (assume @p29 (forall @t5 (not (= @t9 @t17)))) % 0.39/0.72 (assume @p30 (forall @t5 (not (= @t9 @t18)))) % 0.39/0.72 (assume @p31 (forall @t12 (not (= @t9 @t20)))) % 0.39/0.72 (assume @p32 (forall @t5 (not (= @t8 @t18)))) % 0.39/0.72 (assume @p33 (forall @t12 (not (= @t8 @t20)))) % 0.39/0.72 (assume @p34 (forall @t12 (not (= @t6 @t20)))) % 0.39/0.72 (assume @p35 (forall (@list @t22) (or (= @t22 tptp.vnoTerm) (exists @t7 (= @t22 @t21))))) % 0.39/0.72 (assume @p36 (forall @t5 (=> (= @t21 (tptp.vsomeTerm @t1)) @t16))) % 0.39/0.72 (assume @p37 (forall @t7 (not (= tptp.vnoTerm @t21)))) % 0.39/0.72 (assume @p38 (forall (@list @t23) (or (= @t23 tptp.vB) (= @t23 tptp.vNat)))) % 0.39/0.72 (assume @p39 (not (= tptp.vB tptp.vNat))) % 0.39/0.72 (assume @p40 (forall @t25 (= (tptp.vgetTerm (tptp.vsomeTerm @t24)) @t24))) % 0.39/0.72 (assume @p41 (tptp.visNV tptp.vZero)) % 0.39/0.72 (assume @p42 (forall @t29 (= (tptp.visNV @t28) @t27))) % 0.39/0.72 (assume @p43 (forall @t36 (=> (and @t35 @t34) (not (tptp.visNV @t30))))) % 0.39/0.72 (assume @p44 (forall @t7 (=> @t38 (or (= @t2 tptp.vZero) (exists @t29 (and @t37 @t27)))))) % 0.39/0.72 (assume @p45 (forall @t7 (=> (not @t38) (or (exists @t29 (and @t37 @t39)) (exists @t36 (and @t35 @t34 (= @t2 @t30))))))) % 0.39/0.72 (assume @p46 (tptp.visValue tptp.vTrue)) % 0.39/0.72 (assume @p47 (tptp.visValue tptp.vFalse)) % 0.39/0.72 (assume @p48 (forall @t44 (=> (and @t43 @t42) (= (tptp.visValue @t40) @t41)))) % 0.39/0.72 (assume @p49 (forall @t7 (=> @t46 (or (= @t2 tptp.vTrue) (= @t2 tptp.vFalse) (exists @t44 (and @t43 @t42 @t45 @t41)))))) % 0.39/0.72 (assume @p50 (forall @t7 (=> (not @t46) (exists @t44 (and @t43 @t42 @t45 @t47))))) % 0.39/0.72 (assume @p51 (not (tptp.visSomeTerm tptp.vnoTerm))) % 0.39/0.72 (assume @p52 (forall @t36 (tptp.visSomeTerm @t48))) % 0.39/0.72 (assume @p53 (forall @t51 (=> @t50 (exists @t36 (= @t49 @t48))))) % 0.39/0.72 (assume @p54 (forall @t51 (=> (not @t50) (= @t49 tptp.vnoTerm)))) % 0.39/0.72 (assume @p55 (forall (@list @t52) (= (tptp.vplusop @t52 tptp.vZero) @t52))) % 0.39/0.72 (assume @p56 (forall @t55 (= (tptp.vplusop @t52 (tptp.vSucc @t53)) (tptp.vSucc @t54)))) % 0.39/0.72 (assume @p57 (forall (@list @t53 @t52) (=> (and (not (= @t53 tptp.vZero)) (forall (@list @t56) (not (= @t53 @t57)))) (= @t54 @t53)))) % 0.39/0.72 (assume @p58 (forall @t5 (or (exists (@list @t63) (and (= @t2 @t63) (= @t1 tptp.vZero) (= @t59 @t63))) (exists (@list @t56 @t62) (and (= @t2 @t62) (= @t1 @t57) (= @t59 (tptp.vSucc (tptp.vplusop @t62 @t56))))) (exists (@list @t58 @t60) (and (not (= @t58 tptp.vZero)) (forall (@list @t61) (not (= @t58 (tptp.vSucc @t61)))) (= @t2 @t60) (= @t1 @t58) (= @t59 @t58)))))) % 0.39/0.72 (assume @p59 (forall @t55 (= (tptp.vreduce (tptp.vIfelse tptp.vTrue @t52 @t53)) (tptp.vsomeTerm @t52)))) % 0.39/0.72 (assume @p60 (forall @t55 (= (tptp.vreduce (tptp.vIfelse tptp.vFalse @t52 @t53)) (tptp.vsomeTerm @t53)))) % 0.39/0.72 (assume @p61 (forall @t75 (=> (and @t74 @t71 @t68) (= @t67 (tptp.vsomeTerm (tptp.vIfelse @t65 @t52 @t53)))))) % 0.39/0.72 (assume @p62 (forall @t75 (=> (and @t74 @t71 @t76) (= @t67 tptp.vnoTerm)))) % 0.39/0.72 (assume @p63 (forall @t44 (=> @t68 (= @t78 (tptp.vsomeTerm (tptp.vSucc @t65)))))) % 0.39/0.72 (assume @p64 (forall @t44 (=> @t76 (= @t78 tptp.vnoTerm)))) % 0.39/0.72 (assume @p65 (= (tptp.vreduce @t80) @t79)) % 0.39/0.72 (assume @p66 (forall @t29 (=> @t27 (= @t81 (tptp.vsomeTerm @t26))))) % 0.39/0.72 (assume @p67 (forall @t29 (=> @t85 (= @t81 (tptp.vsomeTerm (tptp.vPred @t83)))))) % 0.39/0.72 (assume @p68 (forall @t29 (=> @t87 (= @t81 tptp.vnoTerm)))) % 0.39/0.72 (assume @p69 (forall @t44 (=> @t93 (= @t89 (tptp.vsomeTerm (tptp.vPred @t65)))))) % 0.39/0.72 (assume @p70 (forall @t44 (=> @t94 (= @t89 tptp.vnoTerm)))) % 0.39/0.72 (assume @p71 (= (tptp.vreduce @t96) @t95)) % 0.39/0.72 (assume @p72 (forall @t29 (=> @t27 (= @t98 @t97)))) % 0.39/0.72 (assume @p73 @t100) % 0.39/0.72 (assume @p74 (forall @t29 (=> @t87 (= @t98 tptp.vnoTerm)))) % 0.39/0.72 (assume @p75 (forall @t44 (=> @t93 (= @t102 (tptp.vsomeTerm (tptp.vIszero @t65)))))) % 0.39/0.72 (assume @p76 (forall @t44 (=> @t94 (= @t102 tptp.vnoTerm)))) % 0.39/0.72 (assume @p77 (forall @t106 (=> (and @t41 @t105) (= @t104 (tptp.vsomeTerm (tptp.vplusop @t40 @t52)))))) % 0.39/0.72 (assume @p78 (forall @t106 (=> (and @t41 @t109 @t108) (= @t104 (tptp.vsomeTerm (tptp.vPlus @t40 (tptp.vgetTerm @t107))))))) % 0.39/0.72 (assume @p79 (forall @t106 (=> (and @t41 @t109 (not @t108)) @t110))) % 0.39/0.72 (assume @p80 (forall @t106 (=> (and @t47 @t68) (= @t104 (tptp.vsomeTerm (tptp.vPlus @t65 @t52)))))) % 0.39/0.72 (assume @p81 (forall @t106 (=> (and @t47 @t76) @t110))) % 0.39/0.72 (assume @p82 (forall @t36 (=> (and (forall @t114 (not (= @t30 @t115))) (forall @t114 (not (= @t30 (tptp.vIfelse tptp.vFalse @t63 @t56)))) (forall (@list @t111 @t63 @t56) (not (= @t30 (tptp.vIfelse @t111 @t63 @t56)))) (forall @t112 (not (= @t30 (tptp.vSucc @t111)))) (not (= @t30 @t80)) (forall @t33 (not (= @t30 @t113))) (forall @t112 (not (= @t30 (tptp.vPred @t111)))) (not (= @t30 @t96)) (forall @t33 (not (= @t30 (tptp.vIszero @t32)))) (forall @t112 (not (= @t30 (tptp.vIszero @t111)))) (forall (@list @t111 @t63) (not (= @t30 (tptp.vPlus @t111 @t63))))) (= (tptp.vreduce @t30) tptp.vnoTerm)))) % 0.39/0.72 (assume @p83 (forall @t7 (or (exists @t114 (and (= @t2 @t115) (= @t116 (tptp.vsomeTerm @t63)))) (exists (@list @t62 @t58) (and (= @t2 (tptp.vIfelse tptp.vFalse @t62 @t58)) (= @t116 (tptp.vsomeTerm @t58)))) (exists (@list @t111 @t60 @t184 @t185) (and (forall (@list @t189 @t188) (or (not (= @t111 tptp.vTrue)) (not (= @t60 @t189)) (not (= @t184 @t188)))) (forall (@list @t187 @t186) (or (not (= @t111 tptp.vFalse)) (not (= @t60 @t187)) (not (= @t184 @t186)))) (= @t185 (tptp.vreduce @t111)) (tptp.visSomeTerm @t185) (= @t2 (tptp.vIfelse @t111 @t60 @t184)) (= @t116 (tptp.vsomeTerm (tptp.vIfelse (tptp.vgetTerm @t185) @t60 @t184))))) (exists (@list @t178 @t177 @t176 @t179) (and (forall (@list @t183 @t182) (or (not (= @t178 tptp.vTrue)) (not (= @t177 @t183)) (not (= @t176 @t182)))) (forall (@list @t181 @t180) (or (not (= @t178 tptp.vFalse)) (not (= @t177 @t181)) (not (= @t176 @t180)))) (= @t179 (tptp.vreduce @t178)) (not (tptp.visSomeTerm @t179)) (= @t2 (tptp.vIfelse @t178 @t177 @t176)) @t117)) (exists (@list @t175 @t174) (and (= @t174 (tptp.vreduce @t175)) (tptp.visSomeTerm @t174) (= @t2 (tptp.vSucc @t175)) (= @t116 (tptp.vsomeTerm (tptp.vSucc (tptp.vgetTerm @t174)))))) (exists (@list @t172 @t173) (and (= @t173 (tptp.vreduce @t172)) (not (tptp.visSomeTerm @t173)) (= @t2 (tptp.vSucc @t172)) @t117)) (and (= @t2 @t80) (= @t116 @t79)) (exists @t33 (and (tptp.visNV @t31) (= @t2 @t113) (= @t116 (tptp.vsomeTerm @t31)))) (exists (@list @t170 @t169) (and (not (tptp.visNV @t170)) (= @t169 (tptp.vreduce @t171)) (tptp.visSomeTerm @t169) (= @t2 (tptp.vPred @t171)) (= @t116 (tptp.vsomeTerm (tptp.vPred (tptp.vgetTerm @t169)))))) (exists (@list @t166 @t168) (and (not (tptp.visNV @t166)) (= @t168 (tptp.vreduce @t167)) (not (tptp.visSomeTerm @t168)) (= @t2 (tptp.vPred @t167)) @t117)) (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.vPred @t164)) (= @t116 (tptp.vsomeTerm (tptp.vPred (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.vPred @t160)) @t117)) (and (= @t2 @t96) (= @t116 @t95)) (exists (@list @t159) (and (tptp.visNV @t159) (= @t2 (tptp.vIszero (tptp.vSucc @t159))) (= @t116 @t97))) (exists (@list @t157 @t156) (and (not (tptp.visNV @t157)) (= @t156 (tptp.vreduce @t158)) (tptp.visSomeTerm @t156) (= @t2 (tptp.vIszero @t158)) (= @t116 (tptp.vsomeTerm (tptp.vIszero (tptp.vgetTerm @t156)))))) (exists (@list @t153 @t155) (and (not (tptp.visNV @t153)) (= @t155 (tptp.vreduce @t154)) (not (tptp.visSomeTerm @t155)) (= @t2 (tptp.vIszero @t154)) @t117)) (exists (@list @t151 @t150) (and (not (= @t151 tptp.vZero)) (forall (@list @t152) (not (= @t151 (tptp.vSucc @t152)))) (= @t150 (tptp.vreduce @t151)) (tptp.visSomeTerm @t150) (= @t2 (tptp.vIszero @t151)) (= @t116 (tptp.vsomeTerm (tptp.vIszero (tptp.vgetTerm @t150)))))) (exists (@list @t147 @t148) (and (not (= @t147 tptp.vZero)) (forall (@list @t149) (not (= @t147 (tptp.vSucc @t149)))) (= @t148 (tptp.vreduce @t147)) (not (tptp.visSomeTerm @t148)) (= @t2 (tptp.vIszero @t147)) @t117)) (exists (@list @t146 @t145) (and (tptp.visNV @t146) (tptp.visNV @t145) (= @t2 (tptp.vPlus @t146 @t145)) (= @t116 (tptp.vsomeTerm (tptp.vplusop @t146 @t145))))) (exists (@list @t143 @t144 @t142) (and (tptp.visNV @t143) (not (tptp.visNV @t144)) (= @t142 (tptp.vreduce @t144)) (tptp.visSomeTerm @t142) (= @t2 (tptp.vPlus @t143 @t144)) (= @t116 (tptp.vsomeTerm (tptp.vPlus @t143 (tptp.vgetTerm @t142)))))) (exists (@list @t140 @t139 @t141) (and (tptp.visNV @t140) (not (tptp.visNV @t139)) (= @t141 (tptp.vreduce @t139)) (not (tptp.visSomeTerm @t141)) (= @t2 (tptp.vPlus @t140 @t139)) @t117)) (exists (@list @t138 @t136 @t137) (and (not (tptp.visNV @t138)) (= @t137 (tptp.vreduce @t138)) (tptp.visSomeTerm @t137) (= @t2 (tptp.vPlus @t138 @t136)) (= @t116 (tptp.vsomeTerm (tptp.vPlus (tptp.vgetTerm @t137) @t136))))) (exists (@list @t134 @t133 @t135) (and (not (tptp.visNV @t134)) (= @t135 (tptp.vreduce @t134)) (not (tptp.visSomeTerm @t135)) (= @t2 (tptp.vPlus @t134 @t133)) @t117)) (exists (@list @t118) (and (forall (@list @t132 @t131) (not (= @t118 (tptp.vIfelse tptp.vTrue @t132 @t131)))) (forall (@list @t130 @t129) (not (= @t118 (tptp.vIfelse tptp.vFalse @t130 @t129)))) (forall (@list @t128 @t127 @t126) (not (= @t118 (tptp.vIfelse @t128 @t127 @t126)))) (forall (@list @t125) (not (= @t118 (tptp.vSucc @t125)))) (not (= @t118 @t80)) (forall (@list @t124) (not (= @t118 (tptp.vPred (tptp.vSucc @t124))))) (forall (@list @t123) (not (= @t118 (tptp.vPred @t123)))) (not (= @t118 @t96)) (forall (@list @t122) (not (= @t118 (tptp.vIszero (tptp.vSucc @t122))))) (forall (@list @t121) (not (= @t118 (tptp.vIszero @t121)))) (forall (@list @t120 @t119) (not (= @t118 (tptp.vPlus @t120 @t119)))) (= @t2 @t118) @t117))))) % 0.39/0.72 (assume @p84 (tptp.vptchecksimple tptp.vTrue tptp.vB)) % 0.39/0.72 (assume @p85 (tptp.vptchecksimple tptp.vFalse tptp.vB)) % 0.39/0.72 (assume @p86 (forall (@list @t40 @t52 @t190 @t53) (=> (and @t194 @t193 @t192) @t191))) % 0.39/0.72 (assume @p87 (forall @t195 (=> @t191 @t194))) % 0.39/0.72 (assume @p88 (forall @t195 (=> @t191 @t193))) % 0.39/0.72 (assume @p89 (forall @t195 (=> @t191 @t192))) % 0.39/0.72 (assume @p90 (tptp.vptchecksimple tptp.vZero tptp.vNat)) % 0.39/0.72 (assume @p91 (forall @t197 (=> (tptp.vptchecksimple tptp.vZero @t190) @t196))) % 0.39/0.72 (assume @p92 (forall @t44 (=> @t199 @t198))) % 0.39/0.72 (assume @p93 (forall @t200 (=> (tptp.vptchecksimple @t77 @t190) @t196))) % 0.39/0.72 (assume @p94 (forall @t44 (=> @t198 @t199))) % 0.39/0.72 (assume @p95 (forall @t44 (=> @t199 @t201))) % 0.39/0.72 (assume @p96 (forall @t44 (=> @t201 @t199))) % 0.39/0.72 (assume @p97 (forall @t200 (=> (tptp.vptchecksimple @t88 @t190) @t196))) % 0.39/0.72 (assume @p98 (forall @t44 (=> @t199 @t202))) % 0.39/0.72 (assume @p99 (forall @t44 (=> @t202 @t199))) % 0.39/0.72 (assume @p100 (forall @t200 (=> (tptp.vptchecksimple @t101 @t190) (= @t190 tptp.vB)))) % 0.39/0.72 (assume @p101 (forall @t106 (=> (and @t199 @t204) @t203))) % 0.39/0.72 (assume @p102 (forall (@list @t40 @t52 @t190) (=> (tptp.vptchecksimple @t103 @t190) @t196))) % 0.39/0.72 (assume @p103 (forall @t106 (=> @t203 @t199))) % 0.39/0.72 (assume @p104 (forall @t106 (=> @t203 @t204))) % 0.39/0.72 (assume @p105 (forall @t197 (=> (and (tptp.vptchecksimple tptp.vt1 @t190) (not (tptp.visValue tptp.vt1))) (not (= @t205 tptp.vnoTerm))))) % 0.39/0.72 (assume @p106 (forall @t25 (=> (tptp.visNV @t24) (tptp.vptchecksimple @t24 tptp.vNat)))) % 0.39/0.72 (assume @p107 @t218) % 0.39/0.72 (assume @p108 true) % 0.39/0.72 (step @p109 :rule quant-miniscope-or :args ((= (forall @t216 @t226) (or @t225 @t209 @t224 @t222 (forall @t197 @t219))))) % 0.39/0.72 (step @p110 :rule aci_norm :args ((= @t227 @t226))) % 0.39/0.72 (step @p111 :rule cong :premises (@p110) :args ((forall @t216 @t227))) % 0.39/0.72 (step @p112 :rule trans :premises (@p111 @p109)) % 0.39/0.72 (step @p113 :rule aci_norm :args ((= (or (or @t86 @t27 @t225 @t220 @t219 @t209) @t224) @t227))) % 0.39/0.72 (step @p114 :rule refl :args (@t224)) % 0.39/0.72 (step @p115 :rule bool-double-not-elim :args (@t209)) % 0.39/0.72 (step @p116 :rule refl :args (@t219)) % 0.39/0.72 (step @p117 :rule refl :args (@t220)) % 0.39/0.72 (step @p118 :rule bool-double-not-elim :args (@t225)) % 0.39/0.72 (step @p119 :rule bool-double-not-elim :args (@t27)) % 0.39/0.72 (step @p120 :rule refl :args (@t86)) % 0.39/0.72 (step @p121 :rule nary_cong :premises (@p120 @p119 @p118 @p117 @p116 @p115) :args (@t232)) % 0.39/0.72 (step @p122 :rule aci_norm :args ((= (or @t86 (or @t231 (or @t230 (or @t220 (or @t219 @t228))))) @t232))) % 0.39/0.72 (step @p123 :rule trans :premises (@p122 @p121)) % 0.39/0.72 (step @p124 :rule bool-and-de-morgan :args (@t211 @t210 true)) % 0.39/0.72 (step @p125 :rule nary_cong :premises (@p117 @p124) :args ((or @t220 (not (and @t211 @t210))))) % 0.39/0.72 (step @p126 :rule bool-and-de-morgan :args (@t212 @t211 (and @t210))) % 0.39/0.72 (step @p127 :rule trans :premises (@p126 @p125)) % 0.39/0.72 (step @p128 :rule refl :args (@t230)) % 0.39/0.72 (step @p129 :rule nary_cong :premises (@p128 @p127) :args ((or @t230 (not (and @t212 @t211 @t210))))) % 0.39/0.72 (step @p130 :rule bool-and-de-morgan :args (@t229 @t212 (and @t211 @t210))) % 0.39/0.72 (step @p131 :rule trans :premises (@p130 @p129)) % 0.39/0.72 (step @p132 :rule refl :args (@t231)) % 0.39/0.72 (step @p133 :rule nary_cong :premises (@p132 @p131) :args ((or @t231 (not (and @t229 @t212 @t211 @t210))))) % 0.39/0.72 (step @p134 :rule bool-and-de-morgan :args (@t39 @t229 (and @t212 @t211 @t210))) % 0.39/0.72 (step @p135 :rule trans :premises (@p134 @p133)) % 0.39/0.72 (step @p136 :rule nary_cong :premises (@p120 @p135) :args ((or @t86 (not (and @t39 @t229 @t212 @t211 @t210))))) % 0.39/0.72 (step @p137 :rule bool-and-de-morgan :args (@t84 @t39 (and @t229 @t212 @t211 @t210))) % 0.39/0.72 (step @p138 :rule trans :premises (@p137 @p136)) % 0.39/0.72 (step @p139 :rule trans :premises (@p138 @p123)) % 0.39/0.72 (step @p140 :rule nary_cong :premises (@p139 @p114) :args ((or (not @t233) @t224))) % 0.39/0.72 (step @p141 :rule trans :premises (@p140 @p113)) % 0.39/0.72 (step @p142 :rule bool-impl-elim :args (@t233 @t224)) % 0.39/0.72 (step @p143 :rule trans :premises (@p142 @p141)) % 0.39/0.72 (step @p144 :rule cong :premises (@p143) :args ((forall @t216 (=> @t233 @t224)))) % 0.39/0.72 (step @p145 :rule trans :premises (@p144 @p112)) % 0.39/0.72 (step @p146 :rule eq-symm :args (@t207 tptp.vnoTerm)) % 0.39/0.72 (step @p147 :rule cong :premises (@p146) :args (@t208)) % 0.39/0.72 (step @p148 :rule refl :args (@t210)) % 0.39/0.72 (step @p149 :rule refl :args (@t211)) % 0.39/0.72 (step @p150 :rule refl :args (@t212)) % 0.39/0.72 (step @p151 :rule eq-symm :args (tptp.vt1 tptp.vZero)) % 0.39/0.72 (step @p152 :rule cong :premises (@p151) :args (@t213)) % 0.39/0.72 (step @p153 :rule refl :args (@t39)) % 0.39/0.72 (step @p154 :rule refl :args (@t84)) % 0.39/0.72 (step @p155 :rule nary_cong :premises (@p154 @p153 @p152 @p150 @p149 @p148) :args (@t214)) % 0.39/0.72 (step @p156 :rule cong :premises (@p155 @p147) :args (@t215)) % 0.39/0.72 (step @p157 :rule cong :premises (@p156) :args (@t217)) % 0.39/0.72 (step @p158 :rule trans :premises (@p157 @p145)) % 0.39/0.72 (step @p159 :rule cong :premises (@p158) :args (@t218)) % 0.39/0.72 (step @p160 :rule eq_resolve :premises (@p107 @p159)) % 0.39/0.72 (step @p161 :rule not_or_elim :premises (@p160) :args (2)) % 0.39/0.72 (step @p162 :rule not_not_elim :premises (@p161)) % 0.39/0.72 (step @p163 :rule not_or_elim :premises (@p160) :args (3)) % 0.39/0.72 (step @p164 :rule skolemize :premises (@p163)) % 0.39/0.72 (step @p165 :rule bool-double-not-elim :args (@t236)) % 0.39/0.72 (step @p166 :rule refl :args (@t242)) % 0.39/0.72 (step @p167 :rule nary_cong :premises (@p166 @p165) :args ((or @t242 (not @t237)))) % 0.39/0.72 (step @p168 :rule cnf_or_neg :args (@t242 2)) % 0.39/0.72 (step @p169 :rule eq_resolve :premises (@p168 @p167)) % 0.39/0.72 (step @p170 :rule reordering :premises (@p169) :args ((or @t236 @t242))) % 0.39/0.72 (step @p171 :rule chain_m_resolution :premises (@p170 @p164) :args (@t236 @t243 @t244)) % 0.39/0.72 (step @p172 :rule aci_norm :args ((= (or (or @t27 @t86) @t99) (or @t27 @t86 @t99)))) % 0.39/0.72 (step @p173 :rule refl :args (@t99)) % 0.39/0.72 (step @p174 :rule nary_cong :premises (@p119 @p120) :args ((or @t231 @t86))) % 0.39/0.72 (step @p175 :rule bool-and-de-morgan :args (@t39 @t84 true)) % 0.39/0.72 (step @p176 :rule trans :premises (@p175 @p174)) % 0.39/0.72 (step @p177 :rule nary_cong :premises (@p176 @p173) :args ((or (not @t85) @t99))) % 0.39/0.72 (step @p178 :rule trans :premises (@p177 @p172)) % 0.39/0.72 (step @p179 :rule bool-impl-elim :args (@t85 @t99)) % 0.39/0.72 (step @p180 :rule trans :premises (@p179 @p178)) % 0.39/0.72 (step @p181 :rule cong :premises (@p180) :args (@t100)) % 0.39/0.72 (step @p182 :rule eq_resolve :premises (@p73 @p181)) % 0.39/0.72 (step @p183 :rule instantiate :premises (@p182) :args ((@list @t234))) % 0.39/0.72 (step @p184 :rule cnf_or_neg :args (@t242 1)) % 0.39/0.72 (step @p185 :rule chain_m_resolution :premises (@p184 @p164) :args ((not @t238) @t243 @t244)) % 0.39/0.72 (step @p186 :rule bool-double-not-elim :args (@t240)) % 0.39/0.72 (step @p187 :rule nary_cong :premises (@p166 @p186) :args ((or @t242 (not @t241)))) % 0.39/0.72 (step @p188 :rule cnf_or_neg :args (@t242 0)) % 0.39/0.72 (step @p189 :rule eq_resolve :premises (@p188 @p187)) % 0.39/0.72 (step @p190 :rule reordering :premises (@p189) :args ((or @t240 @t242))) % 0.39/0.72 (step @p191 :rule chain_m_resolution :premises (@p190 @p164) :args (@t240 @t243 @t244)) % 0.39/0.72 (step @p192 :rule cnf_or_pos :args (@t249)) % 0.39/0.72 (step @p193 :rule reordering :premises (@p192) :args ((or @t241 @t238 @t248 (not @t249)))) % 0.39/0.72 (step @p194 :rule chain_m_resolution :premises (@p193 @p191 @p185 @p183) :args (@t248 @t250 @t251)) % 0.39/0.72 (step @p195 :rule instantiate :premises (@p37) :args ((@list @t252))) % 0.39/0.72 (step @p196 :rule bool-double-not-elim :args (@t254)) % 0.39/0.72 (step @p197 :rule refl :args (@t255)) % 0.39/0.72 (step @p198 :rule refl :args (@t237)) % 0.39/0.72 (step @p199 :rule refl :args (@t224)) % 0.39/0.72 (step @p200 :rule nary_cong :premises (@p199 @p198 @p197 @p196) :args ((or @t224 @t237 @t255 (not @t256)))) % 0.39/0.72 (assume-push @p240 @t256) % 0.39/0.72 (assume-push @p241 @t257) % 0.39/0.72 (assume-push @p242 @t223) % 0.39/0.72 (step @p204 :rule evaluate :args ((= true false))) % 0.39/0.72 (step @p205 :rule false_intro :premises (@p195)) % 0.39/0.72 (step @p206 :rule symm :premises (@p171)) % 0.39/0.72 (step @p207 :rule cong :premises (@p206) :args (@t239)) % 0.39/0.72 (step @p208 :rule cong :premises (@p207) :args (@t245)) % 0.39/0.72 (step @p209 :rule cong :premises (@p208) :args (@t246)) % 0.39/0.72 (step @p210 :rule cong :premises (@p209) :args (@t247)) % 0.39/0.72 (step @p211 :rule chain_m_resolution :premises (@p193 @p191 @p185 @p183) :args (@t248 @t250 @t251)) % 0.39/0.72 (step @p212 :rule cong :premises (@p171) :args (@t206)) % 0.39/0.72 (step @p213 :rule cong :premises (@p212) :args (@t207)) % 0.39/0.72 (step @p214 :rule trans :premises (@p213 @p211 @p210)) % 0.39/0.72 (step @p215 :rule trans :premises (@p162 @p214)) % 0.39/0.72 (step @p216 :rule true_intro :premises (@p215)) % 0.39/0.72 (step @p217 :rule symm :premises (@p216)) % 0.39/0.72 (step @p218 :rule trans :premises (@p217 @p205)) % 0.39/0.72 (step @p219 false :rule eq_resolve :premises (@p218 @p204)) % 0.39/0.72 (step-pop @p243 :rule scope :premises (@p219)) % 0.39/0.72 (step-pop @p244 :rule scope :premises (@p243)) % 0.39/0.72 (step-pop @p245 :rule scope :premises (@p244)) % 0.39/0.72 (step @p220 :rule process_scope :premises (@p245) :args (false)) % 0.39/0.72 (assume-push @p246 @t223) % 0.39/0.72 (assume-push @p247 @t236) % 0.39/0.72 (assume-push @p248 @t248) % 0.39/0.72 (assume-push @p249 @t256) % 0.39/0.72 (step @p206 :rule symm :premises (@p171)) % 0.39/0.72 (step @p207 :rule cong :premises (@p206) :args (@t239)) % 0.39/0.72 (step @p208 :rule cong :premises (@p207) :args (@t245)) % 0.39/0.72 (step @p209 :rule cong :premises (@p208) :args (@t246)) % 0.39/0.72 (step @p210 :rule cong :premises (@p209) :args (@t247)) % 0.39/0.72 (step @p212 :rule cong :premises (@p171) :args (@t206)) % 0.39/0.72 (step @p213 :rule cong :premises (@p212) :args (@t207)) % 0.39/0.72 (step @p228 :rule trans :premises (@p213 @p194 @p210)) % 0.39/0.72 (step @p229 :rule and_intro :premises (@p195 @p228 @p162)) % 0.39/0.72 (step-pop @p250 :rule scope :premises (@p229)) % 0.39/0.72 (step-pop @p251 :rule scope :premises (@p250)) % 0.39/0.72 (step-pop @p252 :rule scope :premises (@p251)) % 0.39/0.72 (step-pop @p253 :rule scope :premises (@p252)) % 0.39/0.72 (step @p230 :rule process_scope :premises (@p253) :args (@t258)) % 0.39/0.72 (step @p235 :rule implies_elim :premises (@p230)) % 0.39/0.72 (step @p236 :rule resolution :premises (@p235 @p220) :args (true @t258)) % 0.39/0.72 (step @p237 :rule not_and :premises (@p236)) % 0.39/0.72 (step @p238 :rule eq_resolve :premises (@p237 @p200)) % 0.39/0.72 (step @p239 false :rule chain_m_resolution :premises (@p238 @p195 @p194 @p171 @p162) :args (false (@list true false false false) (@list @t254 @t248 @t236 @t223))) % 0.39/0.72 ) % 0.39/0.72 % SZS output end Proof % 0.39/0.72 % cvc5 exiting %------------------------------------------------------------------------------