%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : COM220_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 : n005.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 1.02s 1.27s % Output : Proof 1.02s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.13/0.13 % Problem : COM220_1 : TPTP v9.3.0. Released v9.3.0. % 0.13/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n005.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Mon Jun 1 20:32:18 EDT 2026 % 0.16/0.34 % CPUTime : % 0.32/0.50 %----Proving TF0_NAR, FOF, or CNF % 1.02/1.27 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.02/1.27 % SZS status Theorem % 1.02/1.27 % SZS output start Proof % 1.02/1.27 ( % 1.02/1.27 (declare-sort tptp.vTy 0) % 1.02/1.27 (declare-sort tptp.vOptTerm 0) % 1.02/1.27 (declare-sort tptp.vTerm 0) % 1.02/1.27 (declare-const tptp.vt1 tptp.vTerm) % 1.02/1.27 (declare-const tptp.vptchecksimple (-> tptp.vTerm tptp.vTy Bool)) % 1.02/1.27 (declare-const tptp.vreduce (-> tptp.vTerm tptp.vOptTerm)) % 1.02/1.27 (declare-const tptp.vplusop (-> tptp.vTerm tptp.vTerm tptp.vTerm)) % 1.02/1.27 (declare-const tptp.visSomeTerm (-> tptp.vOptTerm Bool)) % 1.02/1.27 (declare-const tptp.visValue (-> tptp.vTerm Bool)) % 1.02/1.27 (declare-const tptp.visNV (-> tptp.vTerm Bool)) % 1.02/1.27 (declare-const tptp.vPlus (-> tptp.vTerm tptp.vTerm tptp.vTerm)) % 1.02/1.27 (declare-const tptp.vIszero (-> tptp.vTerm tptp.vTerm)) % 1.02/1.27 (declare-const tptp.vPred (-> tptp.vTerm tptp.vTerm)) % 1.02/1.27 (declare-const tptp.vSucc (-> tptp.vTerm tptp.vTerm)) % 1.02/1.27 (declare-const tptp.vIfelse (-> tptp.vTerm tptp.vTerm tptp.vTerm tptp.vTerm)) % 1.02/1.27 (declare-const tptp.vZero tptp.vTerm) % 1.02/1.27 (declare-const tptp.vFalse tptp.vTerm) % 1.02/1.27 (declare-const tptp.vTrue tptp.vTerm) % 1.02/1.27 (declare-const tptp.vsomeTerm (-> tptp.vTerm tptp.vOptTerm)) % 1.02/1.27 (declare-const tptp.vnoTerm tptp.vOptTerm) % 1.02/1.27 (declare-const tptp.vNat tptp.vTy) % 1.02/1.27 (declare-const tptp.vB tptp.vTy) % 1.02/1.27 (declare-const tptp.vgetTerm (-> tptp.vOptTerm tptp.vTerm)) % 1.02/1.27 (define @t1 () (@var "VTerm1" tptp.vTerm)) % 1.02/1.27 (define @t2 () (@var "VTerm0" tptp.vTerm)) % 1.02/1.27 (define @t3 () (tptp.vPlus @t2 @t1)) % 1.02/1.27 (define @t4 () (@var "VX" tptp.vTerm)) % 1.02/1.27 (define @t5 () (@list @t2 @t1)) % 1.02/1.27 (define @t6 () (tptp.vIszero @t2)) % 1.02/1.27 (define @t7 () (@list @t2)) % 1.02/1.27 (define @t8 () (tptp.vPred @t2)) % 1.02/1.27 (define @t9 () (tptp.vSucc @t2)) % 1.02/1.27 (define @t10 () (@var "VTerm2" tptp.vTerm)) % 1.02/1.27 (define @t11 () (tptp.vIfelse @t2 @t1 @t10)) % 1.02/1.27 (define @t12 () (@list @t2 @t1 @t10)) % 1.02/1.27 (define @t13 () (@var "VTerm5" tptp.vTerm)) % 1.02/1.27 (define @t14 () (@var "VTerm4" tptp.vTerm)) % 1.02/1.27 (define @t15 () (@var "VTerm3" tptp.vTerm)) % 1.02/1.27 (define @t16 () (= @t2 @t1)) % 1.02/1.27 (define @t17 () (tptp.vPred @t1)) % 1.02/1.27 (define @t18 () (tptp.vIszero @t1)) % 1.02/1.27 (define @t19 () (@list @t2 @t1 @t10 @t15)) % 1.02/1.27 (define @t20 () (tptp.vPlus @t1 @t10)) % 1.02/1.27 (define @t21 () (tptp.vsomeTerm @t2)) % 1.02/1.27 (define @t22 () (@var "VX" tptp.vOptTerm)) % 1.02/1.27 (define @t23 () (@var "VX" tptp.vTy)) % 1.02/1.27 (define @t24 () (@var "Vt" tptp.vTerm)) % 1.02/1.27 (define @t25 () (tptp.vgetTerm (tptp.vsomeTerm @t24))) % 1.02/1.27 (define @t26 () (forall (@list @t24) (= @t25 @t24))) % 1.02/1.27 (define @t27 () (@var "Vnv" tptp.vTerm)) % 1.02/1.27 (define @t28 () (tptp.visNV @t27)) % 1.02/1.27 (define @t29 () (tptp.vSucc @t27)) % 1.02/1.27 (define @t30 () (@list @t27)) % 1.02/1.27 (define @t31 () (@var "VwildcardName0" tptp.vTerm)) % 1.02/1.27 (define @t32 () (@var "Vnv0" tptp.vTerm)) % 1.02/1.27 (define @t33 () (tptp.vSucc @t32)) % 1.02/1.27 (define @t34 () (@list @t32)) % 1.02/1.27 (define @t35 () (forall @t34 (not (= @t31 @t33)))) % 1.02/1.27 (define @t36 () (not (= @t31 tptp.vZero))) % 1.02/1.27 (define @t37 () (@list @t31)) % 1.02/1.27 (define @t38 () (= @t2 @t29)) % 1.02/1.27 (define @t39 () (tptp.visNV @t2)) % 1.02/1.27 (define @t40 () (not @t28)) % 1.02/1.27 (define @t41 () (@var "Vt1" tptp.vTerm)) % 1.02/1.27 (define @t42 () (tptp.visNV @t41)) % 1.02/1.27 (define @t43 () (not (= @t41 tptp.vFalse))) % 1.02/1.27 (define @t44 () (not (= @t41 tptp.vTrue))) % 1.02/1.27 (define @t45 () (@list @t41)) % 1.02/1.27 (define @t46 () (= @t2 @t41)) % 1.02/1.27 (define @t47 () (tptp.visValue @t2)) % 1.02/1.27 (define @t48 () (not @t42)) % 1.02/1.27 (define @t49 () (tptp.vsomeTerm @t31)) % 1.02/1.27 (define @t50 () (@var "VOptTerm0" tptp.vOptTerm)) % 1.02/1.27 (define @t51 () (exists @t37 (= @t50 @t49))) % 1.02/1.27 (define @t52 () (tptp.visSomeTerm @t50)) % 1.02/1.27 (define @t53 () (=> @t52 @t51)) % 1.02/1.27 (define @t54 () (@list @t50)) % 1.02/1.27 (define @t55 () (forall @t54 @t53)) % 1.02/1.27 (define @t56 () (@var "Vt2" tptp.vTerm)) % 1.02/1.27 (define @t57 () (@var "Vt3" tptp.vTerm)) % 1.02/1.27 (define @t58 () (tptp.vplusop @t56 @t57)) % 1.02/1.27 (define @t59 () (@list @t56 @t57)) % 1.02/1.27 (define @t60 () (@var "Vt30" tptp.vTerm)) % 1.02/1.27 (define @t61 () (tptp.vSucc @t60)) % 1.02/1.27 (define @t62 () (@var "Vt31" tptp.vTerm)) % 1.02/1.27 (define @t63 () (tptp.vplusop @t2 @t1)) % 1.02/1.27 (define @t64 () (@var "Vt22" tptp.vTerm)) % 1.02/1.27 (define @t65 () (@var "Vt3000" tptp.vTerm)) % 1.02/1.27 (define @t66 () (@var "Vt21" tptp.vTerm)) % 1.02/1.27 (define @t67 () (@var "Vt20" tptp.vTerm)) % 1.02/1.27 (define @t68 () (tptp.vreduce @t41)) % 1.02/1.27 (define @t69 () (tptp.vgetTerm @t68)) % 1.02/1.27 (define @t70 () (tptp.vIfelse @t41 @t56 @t57)) % 1.02/1.27 (define @t71 () (tptp.vreduce @t70)) % 1.02/1.27 (define @t72 () (tptp.visSomeTerm @t68)) % 1.02/1.27 (define @t73 () (@var "Vt301" tptp.vTerm)) % 1.02/1.27 (define @t74 () (@var "Vt201" tptp.vTerm)) % 1.02/1.27 (define @t75 () (forall (@list @t74 @t73) (or @t43 (not (= @t56 @t74)) (not (= @t57 @t73))))) % 1.02/1.27 (define @t76 () (@var "Vt300" tptp.vTerm)) % 1.02/1.27 (define @t77 () (@var "Vt200" tptp.vTerm)) % 1.02/1.27 (define @t78 () (forall (@list @t77 @t76) (or @t44 (not (= @t56 @t77)) (not (= @t57 @t76))))) % 1.02/1.27 (define @t79 () (@list @t41 @t56 @t57)) % 1.02/1.27 (define @t80 () (not @t72)) % 1.02/1.27 (define @t81 () (tptp.vSucc @t41)) % 1.02/1.27 (define @t82 () (tptp.vreduce @t81)) % 1.02/1.27 (define @t83 () (tptp.vsomeTerm tptp.vZero)) % 1.02/1.27 (define @t84 () (tptp.vPred tptp.vZero)) % 1.02/1.27 (define @t85 () (tptp.vreduce (tptp.vPred @t29))) % 1.02/1.27 (define @t86 () (tptp.vreduce @t29)) % 1.02/1.27 (define @t87 () (tptp.vgetTerm @t86)) % 1.02/1.27 (define @t88 () (tptp.visSomeTerm @t86)) % 1.02/1.27 (define @t89 () (and @t40 @t88)) % 1.02/1.27 (define @t90 () (and @t40 (not @t88))) % 1.02/1.27 (define @t91 () (tptp.vPred @t41)) % 1.02/1.27 (define @t92 () (tptp.vreduce @t91)) % 1.02/1.27 (define @t93 () (@var "Vnv00" tptp.vTerm)) % 1.02/1.27 (define @t94 () (tptp.vSucc @t93)) % 1.02/1.27 (define @t95 () (@list @t93)) % 1.02/1.27 (define @t96 () (forall @t95 (not (= @t41 @t94)))) % 1.02/1.27 (define @t97 () (not (= @t41 tptp.vZero))) % 1.02/1.27 (define @t98 () (and @t97 @t96 @t72)) % 1.02/1.27 (define @t99 () (and @t97 @t96 @t80)) % 1.02/1.27 (define @t100 () (tptp.vsomeTerm tptp.vTrue)) % 1.02/1.27 (define @t101 () (tptp.vIszero tptp.vZero)) % 1.02/1.27 (define @t102 () (tptp.vsomeTerm tptp.vFalse)) % 1.02/1.27 (define @t103 () (tptp.vreduce (tptp.vIszero @t29))) % 1.02/1.27 (define @t104 () (tptp.vIszero @t41)) % 1.02/1.27 (define @t105 () (tptp.vreduce @t104)) % 1.02/1.27 (define @t106 () (= @t105 (tptp.vsomeTerm (tptp.vIszero @t69)))) % 1.02/1.27 (define @t107 () (=> @t98 @t106)) % 1.02/1.27 (define @t108 () (forall @t45 @t107)) % 1.02/1.27 (define @t109 () (tptp.vPlus @t41 @t56)) % 1.02/1.27 (define @t110 () (tptp.vreduce @t109)) % 1.02/1.27 (define @t111 () (tptp.visNV @t56)) % 1.02/1.27 (define @t112 () (@list @t41 @t56)) % 1.02/1.27 (define @t113 () (tptp.vreduce @t56)) % 1.02/1.27 (define @t114 () (tptp.visSomeTerm @t113)) % 1.02/1.27 (define @t115 () (not @t111)) % 1.02/1.27 (define @t116 () (= @t110 tptp.vnoTerm)) % 1.02/1.27 (define @t117 () (@var "Vt10" tptp.vTerm)) % 1.02/1.27 (define @t118 () (@list @t117)) % 1.02/1.27 (define @t119 () (tptp.vPred @t33)) % 1.02/1.27 (define @t120 () (@list @t67 @t60)) % 1.02/1.27 (define @t121 () (tptp.vIfelse tptp.vTrue @t67 @t60)) % 1.02/1.27 (define @t122 () (tptp.vreduce @t2)) % 1.02/1.27 (define @t123 () (= @t122 tptp.vnoTerm)) % 1.02/1.27 (define @t124 () (@var "VwildcardName00" tptp.vTerm)) % 1.02/1.27 (define @t125 () (@var "Vt2080" tptp.vTerm)) % 1.02/1.27 (define @t126 () (@var "Vt1040" tptp.vTerm)) % 1.02/1.27 (define @t127 () (@var "Vt1030" tptp.vTerm)) % 1.02/1.27 (define @t128 () (@var "Vnv050" tptp.vTerm)) % 1.02/1.27 (define @t129 () (@var "Vt1020" tptp.vTerm)) % 1.02/1.27 (define @t130 () (@var "Vnv040" tptp.vTerm)) % 1.02/1.27 (define @t131 () (@var "Vt1010" tptp.vTerm)) % 1.02/1.27 (define @t132 () (@var "Vt3070" tptp.vTerm)) % 1.02/1.27 (define @t133 () (@var "Vt2070" tptp.vTerm)) % 1.02/1.27 (define @t134 () (@var "Vt1000" tptp.vTerm)) % 1.02/1.27 (define @t135 () (@var "Vt3060" tptp.vTerm)) % 1.02/1.27 (define @t136 () (@var "Vt2060" tptp.vTerm)) % 1.02/1.27 (define @t137 () (@var "Vt3050" tptp.vTerm)) % 1.02/1.27 (define @t138 () (@var "Vt2050" tptp.vTerm)) % 1.02/1.27 (define @t139 () (@var "Vt28" tptp.vTerm)) % 1.02/1.27 (define @t140 () (@var "Vt112" tptp.vTerm)) % 1.02/1.27 (define @t141 () (@var "Vot13" tptp.vOptTerm)) % 1.02/1.27 (define @t142 () (@var "Vt27" tptp.vTerm)) % 1.02/1.27 (define @t143 () (@var "Vot12" tptp.vOptTerm)) % 1.02/1.27 (define @t144 () (@var "Vt111" tptp.vTerm)) % 1.02/1.27 (define @t145 () (@var "Vt26" tptp.vTerm)) % 1.02/1.27 (define @t146 () (@var "Vt110" tptp.vTerm)) % 1.02/1.27 (define @t147 () (@var "Vot211" tptp.vOptTerm)) % 1.02/1.27 (define @t148 () (@var "Vot210" tptp.vOptTerm)) % 1.02/1.27 (define @t149 () (@var "Vt19" tptp.vTerm)) % 1.02/1.27 (define @t150 () (@var "Vt25" tptp.vTerm)) % 1.02/1.27 (define @t151 () (@var "Vt24" tptp.vTerm)) % 1.02/1.27 (define @t152 () (@var "Vt18" tptp.vTerm)) % 1.02/1.27 (define @t153 () (@var "Vt17" tptp.vTerm)) % 1.02/1.27 (define @t154 () (@var "Vot29" tptp.vOptTerm)) % 1.02/1.27 (define @t155 () (@var "Vnv030" tptp.vTerm)) % 1.02/1.27 (define @t156 () (@var "Vot28" tptp.vOptTerm)) % 1.02/1.27 (define @t157 () (@var "Vt16" tptp.vTerm)) % 1.02/1.27 (define @t158 () (@var "Vnv020" tptp.vTerm)) % 1.02/1.27 (define @t159 () (@var "Vnv5" tptp.vTerm)) % 1.02/1.27 (define @t160 () (tptp.vSucc @t159)) % 1.02/1.27 (define @t161 () (@var "Vot27" tptp.vOptTerm)) % 1.02/1.27 (define @t162 () (@var "Vot26" tptp.vOptTerm)) % 1.02/1.27 (define @t163 () (@var "Vnv4" tptp.vTerm)) % 1.02/1.27 (define @t164 () (tptp.vSucc @t163)) % 1.02/1.27 (define @t165 () (@var "Vnv3" tptp.vTerm)) % 1.02/1.27 (define @t166 () (@var "Vt15" tptp.vTerm)) % 1.02/1.27 (define @t167 () (@var "Vot25" tptp.vOptTerm)) % 1.02/1.27 (define @t168 () (@var "Vnv010" tptp.vTerm)) % 1.02/1.27 (define @t169 () (@var "Vot24" tptp.vOptTerm)) % 1.02/1.27 (define @t170 () (@var "Vt14" tptp.vTerm)) % 1.02/1.27 (define @t171 () (@var "Vnv000" tptp.vTerm)) % 1.02/1.27 (define @t172 () (@var "Vnv2" tptp.vTerm)) % 1.02/1.27 (define @t173 () (tptp.vSucc @t172)) % 1.02/1.27 (define @t174 () (@var "Vot23" tptp.vOptTerm)) % 1.02/1.27 (define @t175 () (@var "Vot22" tptp.vOptTerm)) % 1.02/1.27 (define @t176 () (@var "Vnv1" tptp.vTerm)) % 1.02/1.27 (define @t177 () (tptp.vSucc @t176)) % 1.02/1.27 (define @t178 () (@var "Vt13" tptp.vTerm)) % 1.02/1.27 (define @t179 () (@var "Vot21" tptp.vOptTerm)) % 1.02/1.27 (define @t180 () (@var "Vot20" tptp.vOptTerm)) % 1.02/1.27 (define @t181 () (@var "Vt12" tptp.vTerm)) % 1.02/1.27 (define @t182 () (@var "Vt33" tptp.vTerm)) % 1.02/1.27 (define @t183 () (@var "Vt23" tptp.vTerm)) % 1.02/1.27 (define @t184 () (@var "Vt11" tptp.vTerm)) % 1.02/1.27 (define @t185 () (@var "Vot11" tptp.vOptTerm)) % 1.02/1.27 (define @t186 () (@var "Vt3040" tptp.vTerm)) % 1.02/1.27 (define @t187 () (@var "Vt2040" tptp.vTerm)) % 1.02/1.27 (define @t188 () (@var "Vt3030" tptp.vTerm)) % 1.02/1.27 (define @t189 () (@var "Vt2030" tptp.vTerm)) % 1.02/1.27 (define @t190 () (@var "Vt32" tptp.vTerm)) % 1.02/1.27 (define @t191 () (@var "Vot10" tptp.vOptTerm)) % 1.02/1.27 (define @t192 () (@var "Vt3020" tptp.vTerm)) % 1.02/1.27 (define @t193 () (@var "Vt2020" tptp.vTerm)) % 1.02/1.27 (define @t194 () (@var "Vt3010" tptp.vTerm)) % 1.02/1.27 (define @t195 () (@var "Vt2010" tptp.vTerm)) % 1.02/1.27 (define @t196 () (@var "VT" tptp.vTy)) % 1.02/1.27 (define @t197 () (tptp.vptchecksimple @t70 @t196)) % 1.02/1.27 (define @t198 () (tptp.vptchecksimple @t57 @t196)) % 1.02/1.27 (define @t199 () (tptp.vptchecksimple @t56 @t196)) % 1.02/1.27 (define @t200 () (tptp.vptchecksimple @t41 tptp.vB)) % 1.02/1.27 (define @t201 () (@list @t41 @t56 @t57 @t196)) % 1.02/1.27 (define @t202 () (= @t196 tptp.vNat)) % 1.02/1.27 (define @t203 () (tptp.vptchecksimple @t81 tptp.vNat)) % 1.02/1.27 (define @t204 () (tptp.vptchecksimple @t41 tptp.vNat)) % 1.02/1.27 (define @t205 () (@list @t41 @t196)) % 1.02/1.27 (define @t206 () (tptp.vptchecksimple @t91 tptp.vNat)) % 1.02/1.27 (define @t207 () (tptp.vptchecksimple @t104 tptp.vB)) % 1.02/1.27 (define @t208 () (forall @t45 (=> @t204 @t207))) % 1.02/1.27 (define @t209 () (forall @t45 (=> @t207 @t204))) % 1.02/1.27 (define @t210 () (tptp.vptchecksimple @t104 @t196)) % 1.02/1.27 (define @t211 () (=> @t210 (= @t196 tptp.vB))) % 1.02/1.27 (define @t212 () (forall @t205 @t211)) % 1.02/1.27 (define @t213 () (tptp.vptchecksimple @t109 tptp.vNat)) % 1.02/1.27 (define @t214 () (tptp.vptchecksimple @t56 tptp.vNat)) % 1.02/1.27 (define @t215 () (@var "Vtres" tptp.vTerm)) % 1.02/1.27 (define @t216 () (tptp.vptchecksimple @t215 @t196)) % 1.02/1.27 (define @t217 () (tptp.vsomeTerm @t215)) % 1.02/1.27 (define @t218 () (tptp.vreduce tptp.vt1)) % 1.02/1.27 (define @t219 () (= @t218 @t217)) % 1.02/1.27 (define @t220 () (tptp.vptchecksimple tptp.vt1 @t196)) % 1.02/1.27 (define @t221 () (and @t220 @t219)) % 1.02/1.27 (define @t222 () (@list @t196 @t215)) % 1.02/1.27 (define @t223 () (forall @t222 (=> @t221 @t216))) % 1.02/1.27 (define @t224 () (tptp.vIszero tptp.vt1)) % 1.02/1.27 (define @t225 () (tptp.vreduce @t224)) % 1.02/1.27 (define @t226 () (tptp.vptchecksimple @t224 @t196)) % 1.02/1.27 (define @t227 () (forall @t95 (not (= tptp.vt1 @t94)))) % 1.02/1.27 (define @t228 () (not (= tptp.vt1 tptp.vZero))) % 1.02/1.27 (define @t229 () (tptp.visSomeTerm @t218)) % 1.02/1.27 (define @t230 () (and @t229 @t228 @t227 @t226 (= @t225 @t217))) % 1.02/1.27 (define @t231 () (=> @t230 @t216)) % 1.02/1.27 (define @t232 () (forall @t222 @t231)) % 1.02/1.27 (define @t233 () (not @t232)) % 1.02/1.27 (define @t234 () (= @t49 @t50)) % 1.02/1.27 (define @t235 () (not (forall @t37 (not @t234)))) % 1.02/1.27 (define @t236 () (= @t217 @t225)) % 1.02/1.27 (define @t237 () (not @t236)) % 1.02/1.27 (define @t238 () (not @t226)) % 1.02/1.27 (define @t239 () (or @t238 @t237 @t216)) % 1.02/1.27 (define @t240 () (forall @t222 @t239)) % 1.02/1.27 (define @t241 () (not @t227)) % 1.02/1.27 (define @t242 () (= tptp.vZero tptp.vt1)) % 1.02/1.27 (define @t243 () (not @t229)) % 1.02/1.27 (define @t244 () (or @t243 @t242 @t241 @t239)) % 1.02/1.27 (define @t245 () (or @t243 @t242 @t241 @t238 @t237 @t216)) % 1.02/1.27 (define @t246 () (not @t242)) % 1.02/1.27 (define @t247 () (not @t246)) % 1.02/1.27 (define @t248 () (or @t243 @t247 @t241 @t238 @t237)) % 1.02/1.27 (define @t249 () (and @t229 @t246 @t227 @t226 @t236)) % 1.02/1.27 (define @t250 () (forall @t37 (not (= @t49 @t218)))) % 1.02/1.27 (define @t251 () (not @t250)) % 1.02/1.27 (define @t252 () (or @t243 @t251)) % 1.02/1.27 (define @t253 () (@list false false)) % 1.02/1.27 (define @t254 () (@quantifiers_skolemize @t250 0)) % 1.02/1.27 (define @t255 () (tptp.vsomeTerm @t254)) % 1.02/1.27 (define @t256 () (= @t218 @t255)) % 1.02/1.27 (define @t257 () (= @t255 @t218)) % 1.02/1.27 (define @t258 () (not (not @t257))) % 1.02/1.27 (define @t259 () (@list true)) % 1.02/1.27 (define @t260 () (@list @t250)) % 1.02/1.27 (define @t261 () (not @t219)) % 1.02/1.27 (define @t262 () (not @t220)) % 1.02/1.27 (define @t263 () (tptp.vgetTerm @t218)) % 1.02/1.27 (define @t264 () (@quantifiers_skolemize @t240 0)) % 1.02/1.27 (define @t265 () (@quantifiers_skolemize @t240 1)) % 1.02/1.27 (define @t266 () (tptp.vptchecksimple @t265 @t264)) % 1.02/1.27 (define @t267 () (tptp.vsomeTerm @t265)) % 1.02/1.27 (define @t268 () (= @t225 @t267)) % 1.02/1.27 (define @t269 () (not @t268)) % 1.02/1.27 (define @t270 () (tptp.vptchecksimple @t224 @t264)) % 1.02/1.27 (define @t271 () (not @t270)) % 1.02/1.27 (define @t272 () (or @t271 @t269 @t266)) % 1.02/1.27 (define @t273 () (not @t272)) % 1.02/1.27 (define @t274 () (not @t240)) % 1.02/1.27 (define @t275 () (not (= @t267 @t225))) % 1.02/1.27 (define @t276 () (or @t271 @t275 @t266)) % 1.02/1.27 (define @t277 () (not @t276)) % 1.02/1.27 (define @t278 () (@list @t272)) % 1.02/1.27 (define @t279 () (= tptp.vB @t196)) % 1.02/1.27 (define @t280 () (= tptp.vB @t264)) % 1.02/1.27 (define @t281 () (or @t271 @t280)) % 1.02/1.27 (define @t282 () (not @t96)) % 1.02/1.27 (define @t283 () (= tptp.vZero @t41)) % 1.02/1.27 (define @t284 () (not @t283)) % 1.02/1.27 (define @t285 () (not @t284)) % 1.02/1.27 (define @t286 () (or @t285 @t282 @t80)) % 1.02/1.27 (define @t287 () (and @t284 @t96 @t72)) % 1.02/1.27 (define @t288 () (@list tptp.vt1)) % 1.02/1.27 (define @t289 () (tptp.vIszero @t263)) % 1.02/1.27 (define @t290 () (tptp.vsomeTerm @t289)) % 1.02/1.27 (define @t291 () (= @t225 @t290)) % 1.02/1.27 (define @t292 () (or @t242 @t241 @t243 @t291)) % 1.02/1.27 (define @t293 () (tptp.vptchecksimple @t289 tptp.vB)) % 1.02/1.27 (define @t294 () (tptp.vptchecksimple @t263 tptp.vNat)) % 1.02/1.27 (define @t295 () (not @t294)) % 1.02/1.27 (define @t296 () (or @t295 @t293)) % 1.02/1.27 (define @t297 () (tptp.vptchecksimple @t224 tptp.vB)) % 1.02/1.27 (define @t298 () (tptp.vptchecksimple tptp.vt1 tptp.vNat)) % 1.02/1.27 (define @t299 () (not @t297)) % 1.02/1.27 (define @t300 () (or @t299 @t298)) % 1.02/1.27 (define @t301 () (= @t218 (tptp.vsomeTerm @t263))) % 1.02/1.27 (define @t302 () (not @t301)) % 1.02/1.27 (define @t303 () (not @t298)) % 1.02/1.27 (define @t304 () (or @t303 @t302 @t294)) % 1.02/1.27 (define @t305 () (tptp.vgetTerm @t255)) % 1.02/1.27 (define @t306 () (= @t254 @t305)) % 1.02/1.27 (define @t307 () (not @t306)) % 1.02/1.27 (define @t308 () (not @t256)) % 1.02/1.27 (define @t309 () (and @t301 @t302)) % 1.02/1.27 (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))))) % 1.02/1.27 (assume @p2 (forall (@list @t15 @t10 @t1 @t14 @t2 @t13) (=> (= @t11 (tptp.vIfelse @t15 @t14 @t13)) (and (= @t2 @t15) (= @t1 @t14) (= @t10 @t13))))) % 1.02/1.27 (assume @p3 (forall @t5 (=> (= @t9 (tptp.vSucc @t1)) @t16))) % 1.02/1.27 (assume @p4 (forall @t5 (=> (= @t8 @t17) @t16))) % 1.02/1.27 (assume @p5 (forall @t5 (=> (= @t6 @t18) @t16))) % 1.02/1.27 (assume @p6 (forall @t19 (=> (= @t3 (tptp.vPlus @t10 @t15)) (and (= @t2 @t10) (= @t1 @t15))))) % 1.02/1.27 (assume @p7 (not (= tptp.vTrue tptp.vFalse))) % 1.02/1.27 (assume @p8 (forall @t12 (not (= tptp.vTrue @t11)))) % 1.02/1.27 (assume @p9 (not (= tptp.vTrue tptp.vZero))) % 1.02/1.27 (assume @p10 (forall @t7 (not (= tptp.vTrue @t9)))) % 1.02/1.27 (assume @p11 (forall @t7 (not (= tptp.vTrue @t8)))) % 1.02/1.27 (assume @p12 (forall @t7 (not (= tptp.vTrue @t6)))) % 1.02/1.27 (assume @p13 (forall @t5 (not (= tptp.vTrue @t3)))) % 1.02/1.27 (assume @p14 (forall @t12 (not (= tptp.vFalse @t11)))) % 1.02/1.27 (assume @p15 (not (= tptp.vFalse tptp.vZero))) % 1.02/1.27 (assume @p16 (forall @t7 (not (= tptp.vFalse @t9)))) % 1.02/1.27 (assume @p17 (forall @t7 (not (= tptp.vFalse @t8)))) % 1.02/1.27 (assume @p18 (forall @t7 (not (= tptp.vFalse @t6)))) % 1.02/1.27 (assume @p19 (forall @t5 (not (= tptp.vFalse @t3)))) % 1.02/1.27 (assume @p20 (forall @t12 (not (= @t11 tptp.vZero)))) % 1.02/1.27 (assume @p21 (forall @t19 (not (= @t11 (tptp.vSucc @t15))))) % 1.02/1.27 (assume @p22 (forall @t19 (not (= @t11 (tptp.vPred @t15))))) % 1.02/1.27 (assume @p23 (forall @t19 (not (= @t11 (tptp.vIszero @t15))))) % 1.02/1.27 (assume @p24 (forall (@list @t15 @t10 @t1 @t14 @t2) (not (= @t11 (tptp.vPlus @t15 @t14))))) % 1.02/1.27 (assume @p25 (forall @t7 (not (= tptp.vZero @t9)))) % 1.02/1.27 (assume @p26 (forall @t7 (not (= tptp.vZero @t8)))) % 1.02/1.27 (assume @p27 (forall @t7 (not (= tptp.vZero @t6)))) % 1.02/1.27 (assume @p28 (forall @t5 (not (= tptp.vZero @t3)))) % 1.02/1.27 (assume @p29 (forall @t5 (not (= @t9 @t17)))) % 1.02/1.27 (assume @p30 (forall @t5 (not (= @t9 @t18)))) % 1.02/1.27 (assume @p31 (forall @t12 (not (= @t9 @t20)))) % 1.02/1.27 (assume @p32 (forall @t5 (not (= @t8 @t18)))) % 1.02/1.27 (assume @p33 (forall @t12 (not (= @t8 @t20)))) % 1.02/1.27 (assume @p34 (forall @t12 (not (= @t6 @t20)))) % 1.02/1.27 (assume @p35 (forall (@list @t22) (or (= @t22 tptp.vnoTerm) (exists @t7 (= @t22 @t21))))) % 1.02/1.27 (assume @p36 (forall @t5 (=> (= @t21 (tptp.vsomeTerm @t1)) @t16))) % 1.02/1.27 (assume @p37 (forall @t7 (not (= tptp.vnoTerm @t21)))) % 1.02/1.27 (assume @p38 (forall (@list @t23) (or (= @t23 tptp.vB) (= @t23 tptp.vNat)))) % 1.02/1.27 (assume @p39 (not (= tptp.vB tptp.vNat))) % 1.02/1.27 (assume @p40 @t26) % 1.02/1.27 (assume @p41 (tptp.visNV tptp.vZero)) % 1.02/1.27 (assume @p42 (forall @t30 (= (tptp.visNV @t29) @t28))) % 1.02/1.27 (assume @p43 (forall @t37 (=> (and @t36 @t35) (not (tptp.visNV @t31))))) % 1.02/1.27 (assume @p44 (forall @t7 (=> @t39 (or (= @t2 tptp.vZero) (exists @t30 (and @t38 @t28)))))) % 1.02/1.27 (assume @p45 (forall @t7 (=> (not @t39) (or (exists @t30 (and @t38 @t40)) (exists @t37 (and @t36 @t35 (= @t2 @t31))))))) % 1.02/1.27 (assume @p46 (tptp.visValue tptp.vTrue)) % 1.02/1.27 (assume @p47 (tptp.visValue tptp.vFalse)) % 1.02/1.27 (assume @p48 (forall @t45 (=> (and @t44 @t43) (= (tptp.visValue @t41) @t42)))) % 1.02/1.27 (assume @p49 (forall @t7 (=> @t47 (or (= @t2 tptp.vTrue) (= @t2 tptp.vFalse) (exists @t45 (and @t44 @t43 @t46 @t42)))))) % 1.02/1.27 (assume @p50 (forall @t7 (=> (not @t47) (exists @t45 (and @t44 @t43 @t46 @t48))))) % 1.02/1.27 (assume @p51 (not (tptp.visSomeTerm tptp.vnoTerm))) % 1.02/1.27 (assume @p52 (forall @t37 (tptp.visSomeTerm @t49))) % 1.02/1.27 (assume @p53 @t55) % 1.02/1.27 (assume @p54 (forall @t54 (=> (not @t52) (= @t50 tptp.vnoTerm)))) % 1.02/1.27 (assume @p55 (forall (@list @t56) (= (tptp.vplusop @t56 tptp.vZero) @t56))) % 1.02/1.27 (assume @p56 (forall @t59 (= (tptp.vplusop @t56 (tptp.vSucc @t57)) (tptp.vSucc @t58)))) % 1.02/1.27 (assume @p57 (forall (@list @t57 @t56) (=> (and (not (= @t57 tptp.vZero)) (forall (@list @t60) (not (= @t57 @t61)))) (= @t58 @t57)))) % 1.02/1.27 (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)))))) % 1.02/1.27 (assume @p59 (forall @t59 (= (tptp.vreduce (tptp.vIfelse tptp.vTrue @t56 @t57)) (tptp.vsomeTerm @t56)))) % 1.02/1.27 (assume @p60 (forall @t59 (= (tptp.vreduce (tptp.vIfelse tptp.vFalse @t56 @t57)) (tptp.vsomeTerm @t57)))) % 1.02/1.27 (assume @p61 (forall @t79 (=> (and @t78 @t75 @t72) (= @t71 (tptp.vsomeTerm (tptp.vIfelse @t69 @t56 @t57)))))) % 1.02/1.27 (assume @p62 (forall @t79 (=> (and @t78 @t75 @t80) (= @t71 tptp.vnoTerm)))) % 1.02/1.27 (assume @p63 (forall @t45 (=> @t72 (= @t82 (tptp.vsomeTerm (tptp.vSucc @t69)))))) % 1.02/1.27 (assume @p64 (forall @t45 (=> @t80 (= @t82 tptp.vnoTerm)))) % 1.02/1.27 (assume @p65 (= (tptp.vreduce @t84) @t83)) % 1.02/1.27 (assume @p66 (forall @t30 (=> @t28 (= @t85 (tptp.vsomeTerm @t27))))) % 1.02/1.27 (assume @p67 (forall @t30 (=> @t89 (= @t85 (tptp.vsomeTerm (tptp.vPred @t87)))))) % 1.02/1.27 (assume @p68 (forall @t30 (=> @t90 (= @t85 tptp.vnoTerm)))) % 1.02/1.27 (assume @p69 (forall @t45 (=> @t98 (= @t92 (tptp.vsomeTerm (tptp.vPred @t69)))))) % 1.02/1.27 (assume @p70 (forall @t45 (=> @t99 (= @t92 tptp.vnoTerm)))) % 1.02/1.27 (assume @p71 (= (tptp.vreduce @t101) @t100)) % 1.02/1.27 (assume @p72 (forall @t30 (=> @t28 (= @t103 @t102)))) % 1.02/1.27 (assume @p73 (forall @t30 (=> @t89 (= @t103 (tptp.vsomeTerm (tptp.vIszero @t87)))))) % 1.02/1.27 (assume @p74 (forall @t30 (=> @t90 (= @t103 tptp.vnoTerm)))) % 1.02/1.27 (assume @p75 @t108) % 1.02/1.27 (assume @p76 (forall @t45 (=> @t99 (= @t105 tptp.vnoTerm)))) % 1.02/1.27 (assume @p77 (forall @t112 (=> (and @t42 @t111) (= @t110 (tptp.vsomeTerm (tptp.vplusop @t41 @t56)))))) % 1.02/1.27 (assume @p78 (forall @t112 (=> (and @t42 @t115 @t114) (= @t110 (tptp.vsomeTerm (tptp.vPlus @t41 (tptp.vgetTerm @t113))))))) % 1.02/1.27 (assume @p79 (forall @t112 (=> (and @t42 @t115 (not @t114)) @t116))) % 1.02/1.27 (assume @p80 (forall @t112 (=> (and @t48 @t72) (= @t110 (tptp.vsomeTerm (tptp.vPlus @t69 @t56)))))) % 1.02/1.27 (assume @p81 (forall @t112 (=> (and @t48 @t80) @t116))) % 1.02/1.27 (assume @p82 (forall @t37 (=> (and (forall @t120 (not (= @t31 @t121))) (forall @t120 (not (= @t31 (tptp.vIfelse tptp.vFalse @t67 @t60)))) (forall (@list @t117 @t67 @t60) (not (= @t31 (tptp.vIfelse @t117 @t67 @t60)))) (forall @t118 (not (= @t31 (tptp.vSucc @t117)))) (not (= @t31 @t84)) (forall @t34 (not (= @t31 @t119))) (forall @t118 (not (= @t31 (tptp.vPred @t117)))) (not (= @t31 @t101)) (forall @t34 (not (= @t31 (tptp.vIszero @t33)))) (forall @t118 (not (= @t31 (tptp.vIszero @t117)))) (forall (@list @t117 @t67) (not (= @t31 (tptp.vPlus @t117 @t67))))) (= (tptp.vreduce @t31) tptp.vnoTerm)))) % 1.02/1.27 (assume @p83 (forall @t7 (or (exists @t120 (and (= @t2 @t121) (= @t122 (tptp.vsomeTerm @t67)))) (exists (@list @t66 @t62) (and (= @t2 (tptp.vIfelse tptp.vFalse @t66 @t62)) (= @t122 (tptp.vsomeTerm @t62)))) (exists (@list @t117 @t64 @t190 @t191) (and (forall (@list @t195 @t194) (or (not (= @t117 tptp.vTrue)) (not (= @t64 @t195)) (not (= @t190 @t194)))) (forall (@list @t193 @t192) (or (not (= @t117 tptp.vFalse)) (not (= @t64 @t193)) (not (= @t190 @t192)))) (= @t191 (tptp.vreduce @t117)) (tptp.visSomeTerm @t191) (= @t2 (tptp.vIfelse @t117 @t64 @t190)) (= @t122 (tptp.vsomeTerm (tptp.vIfelse (tptp.vgetTerm @t191) @t64 @t190))))) (exists (@list @t184 @t183 @t182 @t185) (and (forall (@list @t189 @t188) (or (not (= @t184 tptp.vTrue)) (not (= @t183 @t189)) (not (= @t182 @t188)))) (forall (@list @t187 @t186) (or (not (= @t184 tptp.vFalse)) (not (= @t183 @t187)) (not (= @t182 @t186)))) (= @t185 (tptp.vreduce @t184)) (not (tptp.visSomeTerm @t185)) (= @t2 (tptp.vIfelse @t184 @t183 @t182)) @t123)) (exists (@list @t181 @t180) (and (= @t180 (tptp.vreduce @t181)) (tptp.visSomeTerm @t180) (= @t2 (tptp.vSucc @t181)) (= @t122 (tptp.vsomeTerm (tptp.vSucc (tptp.vgetTerm @t180)))))) (exists (@list @t178 @t179) (and (= @t179 (tptp.vreduce @t178)) (not (tptp.visSomeTerm @t179)) (= @t2 (tptp.vSucc @t178)) @t123)) (and (= @t2 @t84) (= @t122 @t83)) (exists @t34 (and (tptp.visNV @t32) (= @t2 @t119) (= @t122 (tptp.vsomeTerm @t32)))) (exists (@list @t176 @t175) (and (not (tptp.visNV @t176)) (= @t175 (tptp.vreduce @t177)) (tptp.visSomeTerm @t175) (= @t2 (tptp.vPred @t177)) (= @t122 (tptp.vsomeTerm (tptp.vPred (tptp.vgetTerm @t175)))))) (exists (@list @t172 @t174) (and (not (tptp.visNV @t172)) (= @t174 (tptp.vreduce @t173)) (not (tptp.visSomeTerm @t174)) (= @t2 (tptp.vPred @t173)) @t123)) (exists (@list @t170 @t169) (and (not (= @t170 tptp.vZero)) (forall (@list @t171) (not (= @t170 (tptp.vSucc @t171)))) (= @t169 (tptp.vreduce @t170)) (tptp.visSomeTerm @t169) (= @t2 (tptp.vPred @t170)) (= @t122 (tptp.vsomeTerm (tptp.vPred (tptp.vgetTerm @t169)))))) (exists (@list @t166 @t167) (and (not (= @t166 tptp.vZero)) (forall (@list @t168) (not (= @t166 (tptp.vSucc @t168)))) (= @t167 (tptp.vreduce @t166)) (not (tptp.visSomeTerm @t167)) (= @t2 (tptp.vPred @t166)) @t123)) (and (= @t2 @t101) (= @t122 @t100)) (exists (@list @t165) (and (tptp.visNV @t165) (= @t2 (tptp.vIszero (tptp.vSucc @t165))) (= @t122 @t102))) (exists (@list @t163 @t162) (and (not (tptp.visNV @t163)) (= @t162 (tptp.vreduce @t164)) (tptp.visSomeTerm @t162) (= @t2 (tptp.vIszero @t164)) (= @t122 (tptp.vsomeTerm (tptp.vIszero (tptp.vgetTerm @t162)))))) (exists (@list @t159 @t161) (and (not (tptp.visNV @t159)) (= @t161 (tptp.vreduce @t160)) (not (tptp.visSomeTerm @t161)) (= @t2 (tptp.vIszero @t160)) @t123)) (exists (@list @t157 @t156) (and (not (= @t157 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reordering :premises (@p239) :args ((or @t270 @t272))) % 1.02/1.27 (step @p241 :rule chain_m_resolution :premises (@p240 @p222) :args (@t270 @t259 @t278)) % 1.02/1.27 (step @p242 :rule cnf_or_pos :args (@t281)) % 1.02/1.27 (step @p243 :rule reordering :premises (@p242) :args ((or @t271 @t280 (not @t281)))) % 1.02/1.27 (step @p244 :rule chain_m_resolution :premises (@p243 @p241 @p234) :args (@t280 @t253 (@list @t270 @t281))) % 1.02/1.27 (step @p245 :rule instantiate :premises (@p188) :args ((@list @t265))) % 1.02/1.27 (step @p246 :rule symm :premises (@p245)) % 1.02/1.27 (step @p247 :rule bool-double-not-elim :args (@t268)) % 1.02/1.27 (step @p248 :rule nary_cong :premises (@p236 @p247) :args ((or @t272 (not @t269)))) % 1.02/1.27 (step @p249 :rule cnf_or_neg :args (@t272 1)) % 1.02/1.27 (step @p250 :rule eq_resolve :premises (@p249 @p248)) % 1.02/1.27 (step @p251 :rule reordering :premises (@p250) :args ((or @t268 @t272))) % 1.02/1.27 (step @p252 :rule chain_m_resolution :premises (@p251 @p222) :args (@t268 @t259 @t278)) % 1.02/1.27 (step @p253 :rule aci_norm :args ((= (or (or @t283 @t282 @t80) @t106) (or @t283 @t282 @t80 @t106)))) % 1.02/1.27 (step @p254 :rule refl :args (@t106)) % 1.02/1.27 (step @p255 :rule refl :args (@t80)) % 1.02/1.27 (step @p256 :rule refl :args (@t282)) % 1.02/1.27 (step @p257 :rule bool-double-not-elim :args (@t283)) % 1.02/1.27 (step @p258 :rule nary_cong :premises (@p257 @p256 @p255) :args (@t286)) % 1.02/1.27 (step @p259 :rule aci_norm :args ((= (or @t285 (or @t282 @t80)) @t286))) % 1.02/1.27 (step @p260 :rule trans :premises (@p259 @p258)) % 1.02/1.27 (step @p261 :rule bool-and-de-morgan :args (@t96 @t72 true)) % 1.02/1.27 (step @p262 :rule refl :args (@t285)) % 1.02/1.27 (step @p263 :rule nary_cong :premises (@p262 @p261) :args ((or @t285 (not (and @t96 @t72))))) % 1.02/1.27 (step @p264 :rule bool-and-de-morgan :args (@t284 @t96 (and @t72))) % 1.02/1.27 (step @p265 :rule trans :premises (@p264 @p263)) % 1.02/1.27 (step @p266 :rule trans :premises (@p265 @p260)) % 1.02/1.27 (step @p267 :rule nary_cong :premises (@p266 @p254) :args ((or (not @t287) @t106))) % 1.02/1.27 (step @p268 :rule trans :premises (@p267 @p253)) % 1.02/1.27 (step @p269 :rule bool-impl-elim :args (@t287 @t106)) % 1.02/1.27 (step @p270 :rule trans :premises (@p269 @p268)) % 1.02/1.27 (step @p271 :rule cong :premises (@p270) :args ((forall @t45 (=> @t287 @t106)))) % 1.02/1.27 (step @p272 :rule refl :args (@t106)) % 1.02/1.27 (step @p273 :rule refl :args (@t72)) % 1.02/1.27 (step @p274 :rule refl :args (@t96)) % 1.02/1.27 (step @p275 :rule eq-symm :args (@t41 tptp.vZero)) % 1.02/1.27 (step @p276 :rule cong :premises (@p275) :args (@t97)) % 1.02/1.27 (step @p277 :rule nary_cong :premises (@p276 @p274 @p273) :args (@t98)) % 1.02/1.27 (step @p278 :rule cong :premises (@p277 @p272) :args (@t107)) % 1.02/1.27 (step @p279 :rule cong :premises (@p278) :args (@t108)) % 1.02/1.27 (step @p280 :rule trans :premises (@p279 @p271)) % 1.02/1.27 (step @p281 :rule eq_resolve :premises (@p75 @p280)) % 1.02/1.27 (step @p282 :rule instantiate :premises (@p281) :args (@t288)) % 1.02/1.27 (step @p283 :rule not_or_elim :premises (@p164) :args (2)) % 1.02/1.27 (step @p284 :rule not_not_elim :premises (@p283)) % 1.02/1.27 (step @p285 :rule not_or_elim :premises (@p164) :args (1)) % 1.02/1.27 (step @p286 :rule cnf_or_pos :args (@t292)) % 1.02/1.27 (step @p287 :rule reordering :premises (@p286) :args ((or @t242 @t243 @t241 @t291 (not @t292)))) % 1.02/1.27 (step @p288 :rule chain_m_resolution :premises (@p287 @p285 @p166 @p284 @p282) :args (@t291 (@list true false false false) (@list @t242 @t229 @t227 @t292))) % 1.02/1.27 (step @p289 :rule symm :premises (@p288)) % 1.02/1.27 (step @p290 :rule trans :premises (@p289 @p252)) % 1.02/1.27 (step @p291 :rule cong :premises (@p290) :args ((tptp.vgetTerm @t290))) % 1.02/1.27 (step @p292 :rule instantiate :premises (@p188) :args ((@list @t289))) % 1.02/1.27 (step @p293 :rule trans :premises (@p292 @p291 @p246)) % 1.02/1.27 (step @p294 :rule cong :premises (@p293 @p244) :args (@t293)) % 1.02/1.27 (step @p295 :rule trans :premises (@p294 @p225)) % 1.02/1.27 (step @p296 :rule false_elim :premises (@p295)) % 1.02/1.27 (step @p297 :rule cnf_or_pos :args (@t296)) % 1.02/1.27 (step @p298 :rule reordering :premises (@p297) :args ((or @t295 @t293 (not @t296)))) % 1.02/1.27 (step @p299 :rule chain_m_resolution :premises (@p298 @p296 @p202) :args (@t295 (@list true false) (@list @t293 @t296))) % 1.02/1.27 (step @p300 :rule bool-impl-elim :args (@t207 @t204)) % 1.02/1.27 (step @p301 :rule cong :premises (@p300) :args (@t209)) % 1.02/1.27 (step @p302 :rule eq_resolve :premises (@p99 @p301)) % 1.02/1.27 (step @p303 :rule instantiate :premises (@p302) :args (@t288)) % 1.02/1.27 (step @p304 :rule true_intro :premises (@p241)) % 1.02/1.27 (step @p305 :rule refl :args (@t224)) % 1.02/1.27 (step @p306 :rule cong :premises (@p305 @p244) :args (@t297)) % 1.02/1.27 (step @p307 :rule trans :premises (@p306 @p304)) % 1.02/1.27 (step @p308 :rule true_elim :premises (@p307)) % 1.02/1.27 (step @p309 :rule cnf_or_pos :args (@t300)) % 1.02/1.27 (step @p310 :rule reordering :premises (@p309) :args ((or @t298 @t299 (not @t300)))) % 1.02/1.27 (step @p311 :rule chain_m_resolution :premises (@p310 @p308 @p303) :args (@t298 @t253 (@list @t297 @t300))) % 1.02/1.27 (step @p312 :rule cnf_or_pos :args (@t304)) % 1.02/1.27 (step @p313 :rule reordering :premises (@p312) :args ((or @t303 @t294 @t302 (not @t304)))) % 1.02/1.27 (step @p314 :rule chain_m_resolution :premises (@p313 @p311 @p299 @p198) :args (@t302 (@list false true false) (@list @t298 @t294 @t304))) % 1.02/1.27 (step @p315 :rule bool-double-not-elim :args (@t301)) % 1.02/1.27 (step @p316 :rule refl :args (@t307)) % 1.02/1.27 (step @p317 :rule refl :args (@t308)) % 1.02/1.27 (step @p318 :rule nary_cong :premises (@p317 @p316 @p315) :args ((or @t308 @t307 (not @t302)))) % 1.02/1.27 (assume-push @p354 @t301) % 1.02/1.27 (assume-push @p355 @t302) % 1.02/1.27 (step @p321 :rule evaluate :args ((= true false))) % 1.02/1.27 (step @p322 :rule false_intro :premises (@p314)) % 1.02/1.27 (step @p323 :rule symm :premises (@p185)) % 1.02/1.27 (step @p324 :rule cong :premises (@p323) :args (@t305)) % 1.02/1.27 (step @p325 :rule trans :premises (@p189 @p324)) % 1.02/1.27 (step @p326 :rule cong :premises (@p325) :args (@t255)) % 1.02/1.27 (step @p327 :rule chain_m_resolution :premises (@p184 @p169) :args (@t256 @t259 @t260)) % 1.02/1.27 (step @p328 :rule trans :premises (@p327 @p326)) % 1.02/1.27 (step @p329 :rule true_intro :premises (@p328)) % 1.02/1.27 (step @p330 :rule symm :premises (@p329)) % 1.02/1.27 (step @p331 :rule trans :premises (@p330 @p322)) % 1.02/1.27 (step @p332 false :rule eq_resolve :premises (@p331 @p321)) % 1.02/1.27 (step-pop @p356 :rule scope :premises (@p332)) % 1.02/1.27 (step-pop @p357 :rule scope :premises (@p356)) % 1.02/1.27 (step @p333 :rule process_scope :premises (@p357) :args (false)) % 1.02/1.27 (assume-push @p358 @t256) % 1.02/1.27 (assume-push @p359 @t306) % 1.02/1.27 (assume-push @p360 @t302) % 1.02/1.27 (step @p323 :rule symm :premises (@p185)) % 1.02/1.27 (step @p324 :rule cong :premises (@p323) :args (@t305)) % 1.02/1.27 (step @p325 :rule trans :premises (@p189 @p324)) % 1.02/1.27 (step @p326 :rule cong :premises (@p325) :args (@t255)) % 1.02/1.27 (step @p339 :rule trans :premises (@p185 @p326)) % 1.02/1.27 (step @p340 :rule and_intro :premises (@p339 @p314)) % 1.02/1.27 (step-pop @p361 :rule scope :premises (@p340)) % 1.02/1.27 (step-pop @p362 :rule scope :premises (@p361)) % 1.02/1.27 (step-pop @p363 :rule scope :premises (@p362)) % 1.02/1.27 (step @p341 :rule process_scope :premises (@p363) :args (@t309)) % 1.02/1.27 (step @p345 :rule implies_elim :premises (@p341)) % 1.02/1.27 (step @p346 :rule resolution :premises (@p345 @p333) :args (true @t309)) % 1.02/1.27 (step @p347 :rule not_and :premises (@p346)) % 1.02/1.28 (step @p348 :rule eq_resolve :premises (@p347 @p318)) % 1.02/1.28 (step @p349 false :rule chain_m_resolution :premises (@p348 @p314 @p189 @p185) :args (false (@list true false false) (@list @t301 @t306 @t256))) % 1.02/1.28 ) % 1.02/1.28 % SZS output end Proof % 1.02/1.28 % cvc5 exiting %------------------------------------------------------------------------------