%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : COM239_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 : n016.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 08:10:42 AM UTC 2026 % Result : Theorem 0.36s 0.70s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : COM239_1 : TPTP v9.3.0. Released v9.3.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n016.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 20:32:39 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.36/0.70 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.36/0.70 % SZS status Theorem % 0.36/0.70 % SZS output start Proof % 0.36/0.70 ( % 0.36/0.70 (declare-sort tptp.vTy 0) % 0.36/0.70 (declare-sort tptp.vOptTerm 0) % 0.36/0.70 (declare-sort tptp.vTerm 0) % 0.36/0.70 (declare-const tptp.vt1 tptp.vTerm) % 0.36/0.70 (declare-const tptp.vptchecksimple (-> tptp.vTerm tptp.vTy Bool)) % 0.36/0.70 (declare-const tptp.vreduce (-> tptp.vTerm tptp.vOptTerm)) % 0.36/0.70 (declare-const tptp.vplusop (-> tptp.vTerm tptp.vTerm tptp.vTerm)) % 0.36/0.70 (declare-const tptp.visSomeTerm (-> tptp.vOptTerm Bool)) % 0.36/0.70 (declare-const tptp.visValue (-> tptp.vTerm Bool)) % 0.36/0.70 (declare-const tptp.visNV (-> tptp.vTerm Bool)) % 0.36/0.70 (declare-const tptp.vPlus (-> tptp.vTerm tptp.vTerm tptp.vTerm)) % 0.36/0.70 (declare-const tptp.vIszero (-> tptp.vTerm tptp.vTerm)) % 0.36/0.70 (declare-const tptp.vPred (-> tptp.vTerm tptp.vTerm)) % 0.36/0.70 (declare-const tptp.vSucc (-> tptp.vTerm tptp.vTerm)) % 0.36/0.70 (declare-const tptp.vIfelse (-> tptp.vTerm tptp.vTerm tptp.vTerm tptp.vTerm)) % 0.36/0.70 (declare-const tptp.vZero tptp.vTerm) % 0.36/0.70 (declare-const tptp.vFalse tptp.vTerm) % 0.36/0.70 (declare-const tptp.vTrue tptp.vTerm) % 0.36/0.70 (declare-const tptp.vsomeTerm (-> tptp.vTerm tptp.vOptTerm)) % 0.36/0.70 (declare-const tptp.vnoTerm tptp.vOptTerm) % 0.36/0.70 (declare-const tptp.vNat tptp.vTy) % 0.36/0.70 (declare-const tptp.vB tptp.vTy) % 0.36/0.70 (declare-const tptp.vgetTerm (-> tptp.vOptTerm tptp.vTerm)) % 0.36/0.70 (define @t1 () (@var "VTerm1" tptp.vTerm)) % 0.36/0.70 (define @t2 () (@var "VTerm0" tptp.vTerm)) % 0.36/0.70 (define @t3 () (tptp.vPlus @t2 @t1)) % 0.36/0.70 (define @t4 () (@var "VX" tptp.vTerm)) % 0.36/0.70 (define @t5 () (@list @t2 @t1)) % 0.36/0.70 (define @t6 () (tptp.vIszero @t2)) % 0.36/0.70 (define @t7 () (@list @t2)) % 0.36/0.70 (define @t8 () (tptp.vPred @t2)) % 0.36/0.70 (define @t9 () (tptp.vSucc @t2)) % 0.36/0.70 (define @t10 () (@var "VTerm2" tptp.vTerm)) % 0.36/0.70 (define @t11 () (tptp.vIfelse @t2 @t1 @t10)) % 0.36/0.70 (define @t12 () (@list @t2 @t1 @t10)) % 0.36/0.70 (define @t13 () (@var "VTerm5" tptp.vTerm)) % 0.36/0.70 (define @t14 () (@var "VTerm4" tptp.vTerm)) % 0.36/0.70 (define @t15 () (@var "VTerm3" tptp.vTerm)) % 0.36/0.70 (define @t16 () (= @t2 @t1)) % 0.36/0.70 (define @t17 () (tptp.vPred @t1)) % 0.36/0.70 (define @t18 () (tptp.vIszero @t1)) % 0.36/0.70 (define @t19 () (@list @t2 @t1 @t10 @t15)) % 0.36/0.70 (define @t20 () (tptp.vPlus @t1 @t10)) % 0.36/0.70 (define @t21 () (tptp.vsomeTerm @t2)) % 0.36/0.71 (define @t22 () (@var "VX" tptp.vOptTerm)) % 0.36/0.71 (define @t23 () (@var "VX" tptp.vTy)) % 0.36/0.71 (define @t24 () (@var "Vt" tptp.vTerm)) % 0.36/0.71 (define @t25 () (@var "Vnv" tptp.vTerm)) % 0.36/0.71 (define @t26 () (tptp.visNV @t25)) % 0.36/0.71 (define @t27 () (tptp.vSucc @t25)) % 0.36/0.71 (define @t28 () (@list @t25)) % 0.36/0.71 (define @t29 () (@var "VwildcardName0" tptp.vTerm)) % 0.36/0.71 (define @t30 () (@var "Vnv0" tptp.vTerm)) % 0.36/0.71 (define @t31 () (tptp.vSucc @t30)) % 0.36/0.71 (define @t32 () (@list @t30)) % 0.36/0.71 (define @t33 () (forall @t32 (not (= @t29 @t31)))) % 0.36/0.71 (define @t34 () (not (= @t29 tptp.vZero))) % 0.36/0.71 (define @t35 () (@list @t29)) % 0.36/0.71 (define @t36 () (= @t2 @t27)) % 0.36/0.71 (define @t37 () (tptp.visNV @t2)) % 0.36/0.71 (define @t38 () (not @t26)) % 0.36/0.71 (define @t39 () (@var "Vt1" tptp.vTerm)) % 0.36/0.71 (define @t40 () (tptp.visNV @t39)) % 0.36/0.71 (define @t41 () (not (= @t39 tptp.vFalse))) % 0.36/0.71 (define @t42 () (not (= @t39 tptp.vTrue))) % 0.36/0.71 (define @t43 () (@list @t39)) % 0.36/0.71 (define @t44 () (= @t2 @t39)) % 0.36/0.71 (define @t45 () (tptp.visValue @t2)) % 0.36/0.71 (define @t46 () (not @t40)) % 0.36/0.71 (define @t47 () (tptp.vsomeTerm @t29)) % 0.36/0.71 (define @t48 () (@var "VOptTerm0" tptp.vOptTerm)) % 0.36/0.71 (define @t49 () (tptp.visSomeTerm @t48)) % 0.36/0.71 (define @t50 () (@list @t48)) % 0.36/0.71 (define @t51 () (@var "Vt2" tptp.vTerm)) % 0.36/0.71 (define @t52 () (@var "Vt3" tptp.vTerm)) % 0.36/0.71 (define @t53 () (tptp.vplusop @t51 @t52)) % 0.36/0.71 (define @t54 () (@list @t51 @t52)) % 0.36/0.71 (define @t55 () (@var "Vt30" tptp.vTerm)) % 0.36/0.71 (define @t56 () (tptp.vSucc @t55)) % 0.36/0.71 (define @t57 () (@var "Vt31" tptp.vTerm)) % 0.36/0.71 (define @t58 () (tptp.vplusop @t2 @t1)) % 0.36/0.71 (define @t59 () (@var "Vt22" tptp.vTerm)) % 0.36/0.71 (define @t60 () (@var "Vt3000" tptp.vTerm)) % 0.36/0.71 (define @t61 () (@var "Vt21" tptp.vTerm)) % 0.36/0.71 (define @t62 () (@var "Vt20" tptp.vTerm)) % 0.36/0.71 (define @t63 () (tptp.vreduce @t39)) % 0.36/0.71 (define @t64 () (tptp.vgetTerm @t63)) % 0.36/0.71 (define @t65 () (tptp.vIfelse @t39 @t51 @t52)) % 0.36/0.71 (define @t66 () (tptp.vreduce @t65)) % 0.36/0.71 (define @t67 () (tptp.visSomeTerm @t63)) % 0.36/0.71 (define @t68 () (@var "Vt301" tptp.vTerm)) % 0.36/0.71 (define @t69 () (@var "Vt201" tptp.vTerm)) % 0.36/0.71 (define @t70 () (forall (@list @t69 @t68) (or @t41 (not (= @t51 @t69)) (not (= @t52 @t68))))) % 0.36/0.71 (define @t71 () (@var "Vt300" tptp.vTerm)) % 0.36/0.71 (define @t72 () (@var "Vt200" tptp.vTerm)) % 0.36/0.71 (define @t73 () (forall (@list @t72 @t71) (or @t42 (not (= @t51 @t72)) (not (= @t52 @t71))))) % 0.36/0.71 (define @t74 () (@list @t39 @t51 @t52)) % 0.36/0.71 (define @t75 () (not @t67)) % 0.36/0.71 (define @t76 () (tptp.vSucc @t39)) % 0.36/0.71 (define @t77 () (tptp.vreduce @t76)) % 0.36/0.71 (define @t78 () (tptp.vsomeTerm tptp.vZero)) % 0.36/0.71 (define @t79 () (tptp.vPred tptp.vZero)) % 0.36/0.71 (define @t80 () (tptp.vreduce (tptp.vPred @t27))) % 0.36/0.71 (define @t81 () (tptp.vreduce @t27)) % 0.36/0.71 (define @t82 () (tptp.vgetTerm @t81)) % 0.36/0.71 (define @t83 () (tptp.visSomeTerm @t81)) % 0.36/0.71 (define @t84 () (and @t38 @t83)) % 0.36/0.71 (define @t85 () (and @t38 (not @t83))) % 0.36/0.71 (define @t86 () (tptp.vPred @t39)) % 0.36/0.71 (define @t87 () (tptp.vreduce @t86)) % 0.36/0.71 (define @t88 () (= @t87 (tptp.vsomeTerm (tptp.vPred @t64)))) % 0.36/0.71 (define @t89 () (@var "Vnv00" tptp.vTerm)) % 0.36/0.71 (define @t90 () (tptp.vSucc @t89)) % 0.36/0.71 (define @t91 () (@list @t89)) % 0.36/0.71 (define @t92 () (forall @t91 (not (= @t39 @t90)))) % 0.36/0.71 (define @t93 () (not (= @t39 tptp.vZero))) % 0.36/0.71 (define @t94 () (and @t93 @t92 @t67)) % 0.36/0.71 (define @t95 () (=> @t94 @t88)) % 0.36/0.71 (define @t96 () (forall @t43 @t95)) % 0.36/0.71 (define @t97 () (and @t93 @t92 @t75)) % 0.36/0.71 (define @t98 () (tptp.vsomeTerm tptp.vTrue)) % 0.36/0.71 (define @t99 () (tptp.vIszero tptp.vZero)) % 0.36/0.71 (define @t100 () (tptp.vsomeTerm tptp.vFalse)) % 0.36/0.71 (define @t101 () (tptp.vreduce (tptp.vIszero @t27))) % 0.36/0.71 (define @t102 () (tptp.vIszero @t39)) % 0.36/0.71 (define @t103 () (tptp.vreduce @t102)) % 0.36/0.71 (define @t104 () (tptp.vPlus @t39 @t51)) % 0.36/0.71 (define @t105 () (tptp.vreduce @t104)) % 0.36/0.71 (define @t106 () (tptp.visNV @t51)) % 0.36/0.71 (define @t107 () (@list @t39 @t51)) % 0.36/0.71 (define @t108 () (tptp.vreduce @t51)) % 0.36/0.71 (define @t109 () (tptp.visSomeTerm @t108)) % 0.36/0.71 (define @t110 () (not @t106)) % 0.36/0.71 (define @t111 () (= @t105 tptp.vnoTerm)) % 0.36/0.71 (define @t112 () (@var "Vt10" tptp.vTerm)) % 0.36/0.71 (define @t113 () (@list @t112)) % 0.36/0.71 (define @t114 () (tptp.vPred @t31)) % 0.36/0.71 (define @t115 () (@list @t62 @t55)) % 0.36/0.71 (define @t116 () (tptp.vIfelse tptp.vTrue @t62 @t55)) % 0.36/0.71 (define @t117 () (tptp.vreduce @t2)) % 0.36/0.71 (define @t118 () (= @t117 tptp.vnoTerm)) % 0.36/0.71 (define @t119 () (@var "VwildcardName00" tptp.vTerm)) % 0.36/0.71 (define @t120 () (@var "Vt2080" tptp.vTerm)) % 0.36/0.71 (define @t121 () (@var "Vt1040" tptp.vTerm)) % 0.36/0.71 (define @t122 () (@var "Vt1030" tptp.vTerm)) % 0.36/0.71 (define @t123 () (@var "Vnv050" tptp.vTerm)) % 0.36/0.71 (define @t124 () (@var "Vt1020" tptp.vTerm)) % 0.36/0.71 (define @t125 () (@var "Vnv040" tptp.vTerm)) % 0.36/0.71 (define @t126 () (@var "Vt1010" tptp.vTerm)) % 0.36/0.71 (define @t127 () (@var "Vt3070" tptp.vTerm)) % 0.36/0.71 (define @t128 () (@var "Vt2070" tptp.vTerm)) % 0.36/0.71 (define @t129 () (@var "Vt1000" tptp.vTerm)) % 0.36/0.71 (define @t130 () (@var "Vt3060" tptp.vTerm)) % 0.36/0.71 (define @t131 () (@var "Vt2060" tptp.vTerm)) % 0.36/0.71 (define @t132 () (@var "Vt3050" tptp.vTerm)) % 0.36/0.71 (define @t133 () (@var "Vt2050" tptp.vTerm)) % 0.36/0.71 (define @t134 () (@var "Vt28" tptp.vTerm)) % 0.36/0.71 (define @t135 () (@var "Vt112" tptp.vTerm)) % 0.36/0.71 (define @t136 () (@var "Vot13" tptp.vOptTerm)) % 0.36/0.71 (define @t137 () (@var "Vt27" tptp.vTerm)) % 0.36/0.71 (define @t138 () (@var "Vot12" tptp.vOptTerm)) % 0.36/0.71 (define @t139 () (@var "Vt111" tptp.vTerm)) % 0.36/0.71 (define @t140 () (@var "Vt26" tptp.vTerm)) % 0.36/0.71 (define @t141 () (@var "Vt110" tptp.vTerm)) % 0.36/0.71 (define @t142 () (@var "Vot211" tptp.vOptTerm)) % 0.36/0.71 (define @t143 () (@var "Vot210" tptp.vOptTerm)) % 0.36/0.71 (define @t144 () (@var "Vt19" tptp.vTerm)) % 0.36/0.71 (define @t145 () (@var "Vt25" tptp.vTerm)) % 0.36/0.71 (define @t146 () (@var "Vt24" tptp.vTerm)) % 0.36/0.71 (define @t147 () (@var "Vt18" tptp.vTerm)) % 0.36/0.71 (define @t148 () (@var "Vt17" tptp.vTerm)) % 0.36/0.71 (define @t149 () (@var "Vot29" tptp.vOptTerm)) % 0.36/0.71 (define @t150 () (@var "Vnv030" tptp.vTerm)) % 0.36/0.71 (define @t151 () (@var "Vot28" tptp.vOptTerm)) % 0.36/0.71 (define @t152 () (@var "Vt16" tptp.vTerm)) % 0.36/0.71 (define @t153 () (@var "Vnv020" tptp.vTerm)) % 0.36/0.71 (define @t154 () (@var "Vnv5" tptp.vTerm)) % 0.36/0.71 (define @t155 () (tptp.vSucc @t154)) % 0.36/0.71 (define @t156 () (@var "Vot27" tptp.vOptTerm)) % 0.36/0.71 (define @t157 () (@var "Vot26" tptp.vOptTerm)) % 0.36/0.71 (define @t158 () (@var "Vnv4" tptp.vTerm)) % 0.36/0.71 (define @t159 () (tptp.vSucc @t158)) % 0.36/0.71 (define @t160 () (@var "Vnv3" tptp.vTerm)) % 0.36/0.71 (define @t161 () (@var "Vt15" tptp.vTerm)) % 0.36/0.71 (define @t162 () (@var "Vot25" tptp.vOptTerm)) % 0.36/0.71 (define @t163 () (@var "Vnv010" tptp.vTerm)) % 0.36/0.71 (define @t164 () (@var "Vot24" tptp.vOptTerm)) % 0.36/0.71 (define @t165 () (@var "Vt14" tptp.vTerm)) % 0.36/0.71 (define @t166 () (@var "Vnv000" tptp.vTerm)) % 0.36/0.71 (define @t167 () (@var "Vnv2" tptp.vTerm)) % 0.36/0.71 (define @t168 () (tptp.vSucc @t167)) % 0.36/0.71 (define @t169 () (@var "Vot23" tptp.vOptTerm)) % 0.36/0.71 (define @t170 () (@var "Vot22" tptp.vOptTerm)) % 0.36/0.71 (define @t171 () (@var "Vnv1" tptp.vTerm)) % 0.36/0.71 (define @t172 () (tptp.vSucc @t171)) % 0.36/0.71 (define @t173 () (@var "Vt13" tptp.vTerm)) % 0.36/0.71 (define @t174 () (@var "Vot21" tptp.vOptTerm)) % 0.36/0.71 (define @t175 () (@var "Vot20" tptp.vOptTerm)) % 0.36/0.71 (define @t176 () (@var "Vt12" tptp.vTerm)) % 0.36/0.71 (define @t177 () (@var "Vt33" tptp.vTerm)) % 0.36/0.71 (define @t178 () (@var "Vt23" tptp.vTerm)) % 0.36/0.71 (define @t179 () (@var "Vt11" tptp.vTerm)) % 0.36/0.71 (define @t180 () (@var "Vot11" tptp.vOptTerm)) % 0.36/0.71 (define @t181 () (@var "Vt3040" tptp.vTerm)) % 0.36/0.71 (define @t182 () (@var "Vt2040" tptp.vTerm)) % 0.36/0.71 (define @t183 () (@var "Vt3030" tptp.vTerm)) % 0.36/0.71 (define @t184 () (@var "Vt2030" tptp.vTerm)) % 0.36/0.71 (define @t185 () (@var "Vt32" tptp.vTerm)) % 0.36/0.71 (define @t186 () (@var "Vot10" tptp.vOptTerm)) % 0.36/0.71 (define @t187 () (@var "Vt3020" tptp.vTerm)) % 0.36/0.71 (define @t188 () (@var "Vt2020" tptp.vTerm)) % 0.36/0.71 (define @t189 () (@var "Vt3010" tptp.vTerm)) % 0.36/0.71 (define @t190 () (@var "Vt2010" tptp.vTerm)) % 0.36/0.71 (define @t191 () (@var "VT" tptp.vTy)) % 0.36/0.71 (define @t192 () (tptp.vptchecksimple @t65 @t191)) % 0.36/0.71 (define @t193 () (tptp.vptchecksimple @t52 @t191)) % 0.36/0.71 (define @t194 () (tptp.vptchecksimple @t51 @t191)) % 0.36/0.71 (define @t195 () (tptp.vptchecksimple @t39 tptp.vB)) % 0.36/0.71 (define @t196 () (@list @t39 @t51 @t52 @t191)) % 0.36/0.71 (define @t197 () (= @t191 tptp.vNat)) % 0.36/0.71 (define @t198 () (@list @t191)) % 0.36/0.71 (define @t199 () (tptp.vptchecksimple @t76 tptp.vNat)) % 0.36/0.71 (define @t200 () (tptp.vptchecksimple @t39 tptp.vNat)) % 0.36/0.71 (define @t201 () (@list @t39 @t191)) % 0.36/0.71 (define @t202 () (tptp.vptchecksimple @t86 tptp.vNat)) % 0.36/0.71 (define @t203 () (tptp.vptchecksimple @t102 tptp.vB)) % 0.36/0.71 (define @t204 () (tptp.vptchecksimple @t104 tptp.vNat)) % 0.36/0.71 (define @t205 () (tptp.vptchecksimple @t51 tptp.vNat)) % 0.36/0.71 (define @t206 () (tptp.vreduce tptp.vt1)) % 0.36/0.71 (define @t207 () (tptp.vPred tptp.vt1)) % 0.36/0.71 (define @t208 () (tptp.vreduce @t207)) % 0.36/0.71 (define @t209 () (not (= @t208 tptp.vnoTerm))) % 0.36/0.71 (define @t210 () (tptp.visValue @t207)) % 0.36/0.71 (define @t211 () (not @t210)) % 0.36/0.71 (define @t212 () (tptp.vptchecksimple @t207 @t191)) % 0.36/0.71 (define @t213 () (forall @t91 (not (= tptp.vt1 @t90)))) % 0.36/0.71 (define @t214 () (not (= tptp.vt1 tptp.vZero))) % 0.36/0.71 (define @t215 () (tptp.visSomeTerm @t206)) % 0.36/0.71 (define @t216 () (and @t215 @t214 @t213 @t212 @t211)) % 0.36/0.71 (define @t217 () (=> @t216 @t209)) % 0.36/0.71 (define @t218 () (forall @t198 @t217)) % 0.36/0.71 (define @t219 () (not @t218)) % 0.36/0.71 (define @t220 () (tptp.vPred (tptp.vgetTerm @t206))) % 0.36/0.71 (define @t221 () (not @t92)) % 0.36/0.71 (define @t222 () (= tptp.vZero @t39)) % 0.36/0.71 (define @t223 () (not @t222)) % 0.36/0.71 (define @t224 () (not @t223)) % 0.36/0.71 (define @t225 () (or @t224 @t221 @t75)) % 0.36/0.71 (define @t226 () (and @t223 @t92 @t67)) % 0.36/0.71 (define @t227 () (not @t212)) % 0.36/0.71 (define @t228 () (not (= tptp.vnoTerm @t208))) % 0.36/0.71 (define @t229 () (not @t213)) % 0.36/0.71 (define @t230 () (= tptp.vZero tptp.vt1)) % 0.36/0.71 (define @t231 () (not @t215)) % 0.36/0.71 (define @t232 () (or @t231 @t230 @t229 @t210 @t228 @t227)) % 0.36/0.71 (define @t233 () (or @t231 @t230 @t229 @t227 @t210 @t228)) % 0.36/0.71 (define @t234 () (not @t211)) % 0.36/0.71 (define @t235 () (not @t230)) % 0.36/0.71 (define @t236 () (not @t235)) % 0.36/0.71 (define @t237 () (or @t231 @t236 @t229 @t227 @t234)) % 0.36/0.71 (define @t238 () (and @t215 @t235 @t213 @t212 @t211)) % 0.36/0.71 (define @t239 () (= @t208 (tptp.vsomeTerm @t220))) % 0.36/0.71 (define @t240 () (or @t230 @t229 @t231 @t239)) % 0.36/0.71 (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))))) % 0.36/0.71 (assume @p2 (forall (@list @t15 @t10 @t1 @t14 @t2 @t13) (=> (= @t11 (tptp.vIfelse @t15 @t14 @t13)) (and (= @t2 @t15) (= @t1 @t14) (= @t10 @t13))))) % 0.36/0.71 (assume @p3 (forall @t5 (=> (= @t9 (tptp.vSucc @t1)) @t16))) % 0.36/0.71 (assume @p4 (forall @t5 (=> (= @t8 @t17) @t16))) % 0.36/0.71 (assume @p5 (forall @t5 (=> (= @t6 @t18) @t16))) % 0.36/0.71 (assume @p6 (forall @t19 (=> (= @t3 (tptp.vPlus @t10 @t15)) (and (= @t2 @t10) (= @t1 @t15))))) % 0.36/0.71 (assume @p7 (not (= tptp.vTrue tptp.vFalse))) % 0.36/0.71 (assume @p8 (forall @t12 (not (= tptp.vTrue @t11)))) % 0.36/0.71 (assume @p9 (not (= tptp.vTrue tptp.vZero))) % 0.36/0.71 (assume @p10 (forall @t7 (not (= tptp.vTrue @t9)))) % 0.36/0.71 (assume @p11 (forall @t7 (not (= tptp.vTrue @t8)))) % 0.36/0.71 (assume @p12 (forall @t7 (not (= tptp.vTrue @t6)))) % 0.36/0.71 (assume @p13 (forall @t5 (not (= tptp.vTrue @t3)))) % 0.36/0.71 (assume @p14 (forall @t12 (not (= tptp.vFalse @t11)))) % 0.36/0.71 (assume @p15 (not (= tptp.vFalse tptp.vZero))) % 0.36/0.71 (assume @p16 (forall @t7 (not (= tptp.vFalse @t9)))) % 0.36/0.71 (assume @p17 (forall @t7 (not (= tptp.vFalse @t8)))) % 0.36/0.71 (assume @p18 (forall @t7 (not (= tptp.vFalse @t6)))) % 0.36/0.71 (assume @p19 (forall @t5 (not (= tptp.vFalse @t3)))) % 0.36/0.71 (assume @p20 (forall @t12 (not (= @t11 tptp.vZero)))) % 0.36/0.71 (assume @p21 (forall @t19 (not (= @t11 (tptp.vSucc @t15))))) % 0.36/0.71 (assume @p22 (forall @t19 (not (= @t11 (tptp.vPred @t15))))) % 0.36/0.71 (assume @p23 (forall @t19 (not (= @t11 (tptp.vIszero @t15))))) % 0.36/0.71 (assume @p24 (forall (@list @t15 @t10 @t1 @t14 @t2) (not (= @t11 (tptp.vPlus @t15 @t14))))) % 0.36/0.71 (assume @p25 (forall @t7 (not (= tptp.vZero @t9)))) % 0.36/0.71 (assume @p26 (forall @t7 (not (= tptp.vZero @t8)))) % 0.36/0.71 (assume @p27 (forall @t7 (not (= tptp.vZero @t6)))) % 0.36/0.71 (assume @p28 (forall @t5 (not (= tptp.vZero @t3)))) % 0.36/0.71 (assume @p29 (forall @t5 (not (= @t9 @t17)))) % 0.36/0.71 (assume @p30 (forall @t5 (not (= @t9 @t18)))) % 0.36/0.71 (assume @p31 (forall @t12 (not (= @t9 @t20)))) % 0.36/0.71 (assume @p32 (forall @t5 (not (= @t8 @t18)))) % 0.36/0.71 (assume @p33 (forall @t12 (not (= @t8 @t20)))) % 0.36/0.71 (assume @p34 (forall @t12 (not (= @t6 @t20)))) % 0.36/0.71 (assume @p35 (forall (@list @t22) (or (= @t22 tptp.vnoTerm) (exists @t7 (= @t22 @t21))))) % 0.36/0.71 (assume @p36 (forall @t5 (=> (= @t21 (tptp.vsomeTerm @t1)) @t16))) % 0.36/0.71 (assume @p37 (forall @t7 (not (= tptp.vnoTerm @t21)))) % 0.36/0.71 (assume @p38 (forall (@list @t23) (or (= @t23 tptp.vB) (= @t23 tptp.vNat)))) % 0.36/0.71 (assume @p39 (not (= tptp.vB tptp.vNat))) % 0.36/0.71 (assume @p40 (forall (@list @t24) (= (tptp.vgetTerm (tptp.vsomeTerm @t24)) @t24))) % 0.36/0.71 (assume @p41 (tptp.visNV tptp.vZero)) % 0.36/0.71 (assume @p42 (forall @t28 (= (tptp.visNV @t27) @t26))) % 0.36/0.71 (assume @p43 (forall @t35 (=> (and @t34 @t33) (not (tptp.visNV @t29))))) % 0.36/0.71 (assume @p44 (forall @t7 (=> @t37 (or (= @t2 tptp.vZero) (exists @t28 (and @t36 @t26)))))) % 0.36/0.71 (assume @p45 (forall @t7 (=> (not @t37) (or (exists @t28 (and @t36 @t38)) (exists @t35 (and @t34 @t33 (= @t2 @t29))))))) % 0.36/0.71 (assume @p46 (tptp.visValue tptp.vTrue)) % 0.36/0.71 (assume @p47 (tptp.visValue tptp.vFalse)) % 0.36/0.71 (assume @p48 (forall @t43 (=> (and @t42 @t41) (= (tptp.visValue @t39) @t40)))) % 0.36/0.71 (assume @p49 (forall @t7 (=> @t45 (or (= @t2 tptp.vTrue) (= @t2 tptp.vFalse) (exists @t43 (and @t42 @t41 @t44 @t40)))))) % 0.36/0.71 (assume @p50 (forall @t7 (=> (not @t45) (exists @t43 (and @t42 @t41 @t44 @t46))))) % 0.36/0.71 (assume @p51 (not (tptp.visSomeTerm tptp.vnoTerm))) % 0.36/0.71 (assume @p52 (forall @t35 (tptp.visSomeTerm @t47))) % 0.36/0.71 (assume @p53 (forall @t50 (=> @t49 (exists @t35 (= @t48 @t47))))) % 0.36/0.71 (assume @p54 (forall @t50 (=> (not @t49) (= @t48 tptp.vnoTerm)))) % 0.36/0.71 (assume @p55 (forall (@list @t51) (= (tptp.vplusop @t51 tptp.vZero) @t51))) % 0.36/0.71 (assume @p56 (forall @t54 (= (tptp.vplusop @t51 (tptp.vSucc @t52)) (tptp.vSucc @t53)))) % 0.36/0.71 (assume @p57 (forall (@list @t52 @t51) (=> (and (not (= @t52 tptp.vZero)) (forall (@list @t55) (not (= @t52 @t56)))) (= @t53 @t52)))) % 0.36/0.71 (assume @p58 (forall @t5 (or (exists (@list @t62) (and (= @t2 @t62) (= @t1 tptp.vZero) (= @t58 @t62))) (exists (@list @t55 @t61) (and (= @t2 @t61) (= @t1 @t56) (= @t58 (tptp.vSucc (tptp.vplusop @t61 @t55))))) (exists (@list @t57 @t59) (and (not (= @t57 tptp.vZero)) (forall (@list @t60) (not (= @t57 (tptp.vSucc @t60)))) (= @t2 @t59) (= @t1 @t57) (= @t58 @t57)))))) % 0.36/0.71 (assume @p59 (forall @t54 (= (tptp.vreduce (tptp.vIfelse tptp.vTrue @t51 @t52)) (tptp.vsomeTerm @t51)))) % 0.36/0.71 (assume @p60 (forall @t54 (= (tptp.vreduce (tptp.vIfelse tptp.vFalse @t51 @t52)) (tptp.vsomeTerm @t52)))) % 0.36/0.71 (assume @p61 (forall @t74 (=> (and @t73 @t70 @t67) (= @t66 (tptp.vsomeTerm (tptp.vIfelse @t64 @t51 @t52)))))) % 0.36/0.71 (assume @p62 (forall @t74 (=> (and @t73 @t70 @t75) (= @t66 tptp.vnoTerm)))) % 0.36/0.71 (assume @p63 (forall @t43 (=> @t67 (= @t77 (tptp.vsomeTerm (tptp.vSucc @t64)))))) % 0.36/0.71 (assume @p64 (forall @t43 (=> @t75 (= @t77 tptp.vnoTerm)))) % 0.36/0.71 (assume @p65 (= (tptp.vreduce @t79) @t78)) % 0.36/0.71 (assume @p66 (forall @t28 (=> @t26 (= @t80 (tptp.vsomeTerm @t25))))) % 0.36/0.71 (assume @p67 (forall @t28 (=> @t84 (= @t80 (tptp.vsomeTerm (tptp.vPred @t82)))))) % 0.36/0.71 (assume @p68 (forall @t28 (=> @t85 (= @t80 tptp.vnoTerm)))) % 0.36/0.71 (assume @p69 @t96) % 0.36/0.71 (assume @p70 (forall @t43 (=> @t97 (= @t87 tptp.vnoTerm)))) % 0.36/0.71 (assume @p71 (= (tptp.vreduce @t99) @t98)) % 0.36/0.71 (assume @p72 (forall @t28 (=> @t26 (= @t101 @t100)))) % 0.36/0.71 (assume @p73 (forall @t28 (=> @t84 (= @t101 (tptp.vsomeTerm (tptp.vIszero @t82)))))) % 0.36/0.71 (assume @p74 (forall @t28 (=> @t85 (= @t101 tptp.vnoTerm)))) % 0.36/0.71 (assume @p75 (forall @t43 (=> @t94 (= @t103 (tptp.vsomeTerm (tptp.vIszero @t64)))))) % 0.36/0.71 (assume @p76 (forall @t43 (=> @t97 (= @t103 tptp.vnoTerm)))) % 0.36/0.71 (assume @p77 (forall @t107 (=> (and @t40 @t106) (= @t105 (tptp.vsomeTerm (tptp.vplusop @t39 @t51)))))) % 0.36/0.71 (assume @p78 (forall @t107 (=> (and @t40 @t110 @t109) (= @t105 (tptp.vsomeTerm (tptp.vPlus @t39 (tptp.vgetTerm @t108))))))) % 0.36/0.71 (assume @p79 (forall @t107 (=> (and @t40 @t110 (not @t109)) @t111))) % 0.36/0.71 (assume @p80 (forall @t107 (=> (and @t46 @t67) (= @t105 (tptp.vsomeTerm (tptp.vPlus @t64 @t51)))))) % 0.36/0.71 (assume @p81 (forall @t107 (=> (and @t46 @t75) @t111))) % 0.36/0.71 (assume @p82 (forall @t35 (=> (and (forall @t115 (not (= @t29 @t116))) (forall @t115 (not (= @t29 (tptp.vIfelse tptp.vFalse @t62 @t55)))) (forall (@list @t112 @t62 @t55) (not (= @t29 (tptp.vIfelse @t112 @t62 @t55)))) (forall @t113 (not (= @t29 (tptp.vSucc @t112)))) (not (= @t29 @t79)) (forall @t32 (not (= @t29 @t114))) (forall @t113 (not (= @t29 (tptp.vPred @t112)))) (not (= @t29 @t99)) (forall @t32 (not (= @t29 (tptp.vIszero @t31)))) (forall @t113 (not (= @t29 (tptp.vIszero @t112)))) (forall (@list @t112 @t62) (not (= @t29 (tptp.vPlus @t112 @t62))))) (= (tptp.vreduce @t29) tptp.vnoTerm)))) % 0.36/0.71 (assume @p83 (forall @t7 (or (exists @t115 (and (= @t2 @t116) (= @t117 (tptp.vsomeTerm @t62)))) (exists (@list @t61 @t57) (and (= @t2 (tptp.vIfelse tptp.vFalse @t61 @t57)) (= @t117 (tptp.vsomeTerm @t57)))) (exists (@list @t112 @t59 @t185 @t186) (and (forall (@list @t190 @t189) (or (not (= @t112 tptp.vTrue)) (not (= @t59 @t190)) (not (= @t185 @t189)))) (forall (@list @t188 @t187) (or (not (= @t112 tptp.vFalse)) (not (= @t59 @t188)) (not (= @t185 @t187)))) (= @t186 (tptp.vreduce @t112)) (tptp.visSomeTerm @t186) (= @t2 (tptp.vIfelse @t112 @t59 @t185)) (= @t117 (tptp.vsomeTerm (tptp.vIfelse (tptp.vgetTerm @t186) @t59 @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 @t79) (= @t117 @t78)) (exists @t32 (and (tptp.visNV @t30) (= @t2 @t114) (= @t117 (tptp.vsomeTerm @t30)))) (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 @t79)) (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))))) % 0.36/0.71 (assume @p84 (tptp.vptchecksimple tptp.vTrue tptp.vB)) % 0.36/0.71 (assume @p85 (tptp.vptchecksimple tptp.vFalse tptp.vB)) % 0.36/0.71 (assume @p86 (forall (@list @t39 @t51 @t191 @t52) (=> (and @t195 @t194 @t193) @t192))) % 0.36/0.71 (assume @p87 (forall @t196 (=> @t192 @t195))) % 0.36/0.71 (assume @p88 (forall @t196 (=> @t192 @t194))) % 0.36/0.71 (assume @p89 (forall @t196 (=> @t192 @t193))) % 0.36/0.71 (assume @p90 (tptp.vptchecksimple tptp.vZero tptp.vNat)) % 0.36/0.71 (assume @p91 (forall @t198 (=> (tptp.vptchecksimple tptp.vZero @t191) @t197))) % 0.36/0.71 (assume @p92 (forall @t43 (=> @t200 @t199))) % 0.36/0.71 (assume @p93 (forall @t201 (=> (tptp.vptchecksimple @t76 @t191) @t197))) % 0.36/0.71 (assume @p94 (forall @t43 (=> @t199 @t200))) % 0.36/0.71 (assume @p95 (forall @t43 (=> @t200 @t202))) % 0.36/0.71 (assume @p96 (forall @t43 (=> @t202 @t200))) % 0.36/0.71 (assume @p97 (forall @t201 (=> (tptp.vptchecksimple @t86 @t191) @t197))) % 0.36/0.71 (assume @p98 (forall @t43 (=> @t200 @t203))) % 0.36/0.71 (assume @p99 (forall @t43 (=> @t203 @t200))) % 0.36/0.71 (assume @p100 (forall @t201 (=> (tptp.vptchecksimple @t102 @t191) (= @t191 tptp.vB)))) % 0.36/0.71 (assume @p101 (forall @t107 (=> (and @t200 @t205) @t204))) % 0.36/0.71 (assume @p102 (forall (@list @t39 @t51 @t191) (=> (tptp.vptchecksimple @t104 @t191) @t197))) % 0.36/0.71 (assume @p103 (forall @t107 (=> @t204 @t200))) % 0.36/0.71 (assume @p104 (forall @t107 (=> @t204 @t205))) % 0.36/0.71 (assume @p105 (forall @t198 (=> (and (tptp.vptchecksimple tptp.vt1 @t191) (not (tptp.visValue tptp.vt1))) (not (= @t206 tptp.vnoTerm))))) % 0.36/0.71 (assume @p106 @t219) % 0.36/0.71 (assume @p107 true) % 0.36/0.71 (step @p108 :rule evaluate :args ((= true false))) % 0.36/0.71 (step @p109 :rule instantiate :premises (@p37) :args ((@list @t220))) % 0.36/0.71 (step @p110 :rule false_intro :premises (@p109)) % 0.36/0.71 (step @p111 :rule aci_norm :args ((= (or (or @t222 @t221 @t75) @t88) (or @t222 @t221 @t75 @t88)))) % 0.36/0.71 (step @p112 :rule refl :args (@t88)) % 0.36/0.71 (step @p113 :rule refl :args (@t75)) % 0.36/0.71 (step @p114 :rule refl :args (@t221)) % 0.36/0.71 (step @p115 :rule bool-double-not-elim :args (@t222)) % 0.36/0.71 (step @p116 :rule nary_cong :premises (@p115 @p114 @p113) :args (@t225)) % 0.36/0.71 (step @p117 :rule aci_norm :args ((= (or @t224 (or @t221 @t75)) @t225))) % 0.36/0.71 (step @p118 :rule trans :premises (@p117 @p116)) % 0.36/0.71 (step @p119 :rule bool-and-de-morgan :args (@t92 @t67 true)) % 0.36/0.71 (step @p120 :rule refl :args (@t224)) % 0.36/0.71 (step @p121 :rule nary_cong :premises (@p120 @p119) :args ((or @t224 (not (and @t92 @t67))))) % 0.36/0.71 (step @p122 :rule bool-and-de-morgan :args (@t223 @t92 (and @t67))) % 0.36/0.71 (step @p123 :rule trans :premises (@p122 @p121)) % 0.36/0.71 (step @p124 :rule trans :premises (@p123 @p118)) % 0.36/0.71 (step @p125 :rule nary_cong :premises (@p124 @p112) :args ((or (not @t226) @t88))) % 0.36/0.71 (step @p126 :rule trans :premises (@p125 @p111)) % 0.36/0.71 (step @p127 :rule bool-impl-elim :args (@t226 @t88)) % 0.36/0.71 (step @p128 :rule trans :premises (@p127 @p126)) % 0.36/0.71 (step @p129 :rule cong :premises (@p128) :args ((forall @t43 (=> @t226 @t88)))) % 0.36/0.71 (step @p130 :rule refl :args (@t88)) % 0.36/0.71 (step @p131 :rule refl :args (@t67)) % 0.36/0.71 (step @p132 :rule refl :args (@t92)) % 0.36/0.71 (step @p133 :rule eq-symm :args (@t39 tptp.vZero)) % 0.36/0.71 (step @p134 :rule cong :premises (@p133) :args (@t93)) % 0.36/0.71 (step @p135 :rule nary_cong :premises (@p134 @p132 @p131) :args (@t94)) % 0.36/0.71 (step @p136 :rule cong :premises (@p135 @p130) :args (@t95)) % 0.36/0.71 (step @p137 :rule cong :premises (@p136) :args (@t96)) % 0.36/0.71 (step @p138 :rule trans :premises (@p137 @p129)) % 0.36/0.71 (step @p139 :rule eq_resolve :premises (@p69 @p138)) % 0.36/0.71 (step @p140 :rule instantiate :premises (@p139) :args ((@list tptp.vt1))) % 0.36/0.71 (step @p141 :rule quant-miniscope-or :args ((= (forall @t198 @t232) (or @t231 @t230 @t229 @t210 @t228 (forall @t198 @t227))))) % 0.36/0.71 (step @p142 :rule aci_norm :args ((= @t233 @t232))) % 0.36/0.71 (step @p143 :rule cong :premises (@p142) :args ((forall @t198 @t233))) % 0.36/0.71 (step @p144 :rule trans :premises (@p143 @p141)) % 0.36/0.71 (step @p145 :rule aci_norm :args ((= (or (or @t231 @t230 @t229 @t227 @t210) @t228) @t233))) % 0.36/0.71 (step @p146 :rule refl :args (@t228)) % 0.36/0.71 (step @p147 :rule bool-double-not-elim :args (@t210)) % 0.36/0.71 (step @p148 :rule refl :args (@t227)) % 0.36/0.71 (step @p149 :rule refl :args (@t229)) % 0.36/0.71 (step @p150 :rule bool-double-not-elim :args (@t230)) % 0.36/0.71 (step @p151 :rule refl :args (@t231)) % 0.36/0.71 (step @p152 :rule nary_cong :premises (@p151 @p150 @p149 @p148 @p147) :args (@t237)) % 0.36/0.71 (step @p153 :rule aci_norm :args ((= (or @t231 (or @t236 (or @t229 (or @t227 @t234)))) @t237))) % 0.36/0.71 (step @p154 :rule trans :premises (@p153 @p152)) % 0.36/0.71 (step @p155 :rule bool-and-de-morgan :args (@t212 @t211 true)) % 0.36/0.71 (step @p156 :rule nary_cong :premises (@p149 @p155) :args ((or @t229 (not (and @t212 @t211))))) % 0.36/0.71 (step @p157 :rule bool-and-de-morgan :args (@t213 @t212 (and @t211))) % 0.36/0.71 (step @p158 :rule trans :premises (@p157 @p156)) % 0.36/0.71 (step @p159 :rule refl :args (@t236)) % 0.36/0.71 (step @p160 :rule nary_cong :premises (@p159 @p158) :args ((or @t236 (not (and @t213 @t212 @t211))))) % 0.36/0.71 (step @p161 :rule bool-and-de-morgan :args (@t235 @t213 (and @t212 @t211))) % 0.36/0.71 (step @p162 :rule trans :premises (@p161 @p160)) % 0.36/0.71 (step @p163 :rule nary_cong :premises (@p151 @p162) :args ((or @t231 (not (and @t235 @t213 @t212 @t211))))) % 0.36/0.71 (step @p164 :rule bool-and-de-morgan :args (@t215 @t235 (and @t213 @t212 @t211))) % 0.36/0.71 (step @p165 :rule trans :premises (@p164 @p163)) % 0.36/0.71 (step @p166 :rule trans :premises (@p165 @p154)) % 0.36/0.71 (step @p167 :rule nary_cong :premises (@p166 @p146) :args ((or (not @t238) @t228))) % 0.36/0.71 (step @p168 :rule trans :premises (@p167 @p145)) % 0.36/0.71 (step @p169 :rule bool-impl-elim :args (@t238 @t228)) % 0.36/0.71 (step @p170 :rule trans :premises (@p169 @p168)) % 0.36/0.71 (step @p171 :rule cong :premises (@p170) :args ((forall @t198 (=> @t238 @t228)))) % 0.36/0.71 (step @p172 :rule trans :premises (@p171 @p144)) % 0.36/0.71 (step @p173 :rule eq-symm :args (@t208 tptp.vnoTerm)) % 0.36/0.71 (step @p174 :rule cong :premises (@p173) :args (@t209)) % 0.36/0.71 (step @p175 :rule refl :args (@t211)) % 0.36/0.71 (step @p176 :rule refl :args (@t212)) % 0.36/0.71 (step @p177 :rule refl :args (@t213)) % 0.36/0.71 (step @p178 :rule eq-symm :args (tptp.vt1 tptp.vZero)) % 0.36/0.71 (step @p179 :rule cong :premises (@p178) :args (@t214)) % 0.36/0.71 (step @p180 :rule refl :args (@t215)) % 0.36/0.71 (step @p181 :rule nary_cong :premises (@p180 @p179 @p177 @p176 @p175) :args (@t216)) % 0.36/0.71 (step @p182 :rule cong :premises (@p181 @p174) :args (@t217)) % 0.36/0.71 (step @p183 :rule cong :premises (@p182) :args (@t218)) % 0.36/0.71 (step @p184 :rule trans :premises (@p183 @p172)) % 0.36/0.71 (step @p185 :rule cong :premises (@p184) :args (@t219)) % 0.36/0.71 (step @p186 :rule eq_resolve :premises (@p106 @p185)) % 0.36/0.71 (step @p187 :rule not_or_elim :premises (@p186) :args (2)) % 0.36/0.71 (step @p188 :rule not_not_elim :premises (@p187)) % 0.36/0.71 (step @p189 :rule not_or_elim :premises (@p186) :args (0)) % 0.36/0.71 (step @p190 :rule not_not_elim :premises (@p189)) % 0.36/0.71 (step @p191 :rule not_or_elim :premises (@p186) :args (1)) % 0.36/0.71 (step @p192 :rule cnf_or_pos :args (@t240)) % 0.36/0.71 (step @p193 :rule reordering :premises (@p192) :args ((or @t230 @t231 @t229 @t239 (not @t240)))) % 0.36/0.71 (step @p194 :rule chain_m_resolution :premises (@p193 @p191 @p190 @p188 @p140) :args (@t239 (@list true false false false) (@list @t230 @t215 @t213 @t240))) % 0.36/0.71 (step @p195 :rule not_or_elim :premises (@p186) :args (4)) % 0.36/0.71 (step @p196 :rule not_not_elim :premises (@p195)) % 0.36/0.71 (step @p197 :rule trans :premises (@p196 @p194)) % 0.36/0.71 (step @p198 :rule true_intro :premises (@p197)) % 0.36/0.71 (step @p199 :rule symm :premises (@p198)) % 0.36/0.71 (step @p200 :rule trans :premises (@p199 @p110)) % 0.36/0.71 (step @p201 false :rule eq_resolve :premises (@p200 @p108)) % 0.36/0.71 ) % 0.36/0.71 % SZS output end Proof % 0.36/0.71 % cvc5 exiting %------------------------------------------------------------------------------