%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : COM243_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 : n022.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 0.44s 0.64s % Output : Proof 0.44s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : COM243_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 % 0.14/0.33 % Computer : n022.cluster.edu % 0.14/0.33 % Model : x86_64 x86_64 % 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.33 % Memory : 8042.1875MB % 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.33 % CPULimit : 300 % 0.14/0.33 % WCLimit : 300 % 0.14/0.33 % DateTime : Mon Jun 1 20:32:23 EDT 2026 % 0.14/0.34 % CPUTime : % 0.30/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.44/0.64 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.44/0.64 % SZS status Theorem % 0.44/0.64 % SZS output start Proof % 0.44/0.64 ( % 0.44/0.64 (declare-sort tptp.vTy 0) % 0.44/0.64 (declare-sort tptp.vOptTerm 0) % 0.44/0.64 (declare-sort tptp.vTerm 0) % 0.44/0.64 (declare-const tptp.vptchecksimple (-> tptp.vTerm tptp.vTy Bool)) % 0.44/0.64 (declare-const tptp.vreduce (-> tptp.vTerm tptp.vOptTerm)) % 0.44/0.64 (declare-const tptp.vplusop (-> tptp.vTerm tptp.vTerm tptp.vTerm)) % 0.44/0.64 (declare-const tptp.visSomeTerm (-> tptp.vOptTerm Bool)) % 0.44/0.64 (declare-const tptp.visValue (-> tptp.vTerm Bool)) % 0.44/0.64 (declare-const tptp.visNV (-> tptp.vTerm Bool)) % 0.44/0.64 (declare-const tptp.vPlus (-> tptp.vTerm tptp.vTerm tptp.vTerm)) % 0.44/0.64 (declare-const tptp.vIszero (-> tptp.vTerm tptp.vTerm)) % 0.44/0.64 (declare-const tptp.vPred (-> tptp.vTerm tptp.vTerm)) % 0.44/0.64 (declare-const tptp.vSucc (-> tptp.vTerm tptp.vTerm)) % 0.44/0.64 (declare-const tptp.vIfelse (-> tptp.vTerm tptp.vTerm tptp.vTerm tptp.vTerm)) % 0.44/0.64 (declare-const tptp.vZero tptp.vTerm) % 0.44/0.64 (declare-const tptp.vFalse tptp.vTerm) % 0.44/0.64 (declare-const tptp.vTrue tptp.vTerm) % 0.44/0.64 (declare-const tptp.vsomeTerm (-> tptp.vTerm tptp.vOptTerm)) % 0.44/0.64 (declare-const tptp.vnoTerm tptp.vOptTerm) % 0.44/0.64 (declare-const tptp.vNat tptp.vTy) % 0.44/0.64 (declare-const tptp.vB tptp.vTy) % 0.44/0.64 (declare-const tptp.vgetTerm (-> tptp.vOptTerm tptp.vTerm)) % 0.44/0.64 (define @t1 () (@var "VTerm1" tptp.vTerm)) % 0.44/0.64 (define @t2 () (@var "VTerm0" tptp.vTerm)) % 0.44/0.64 (define @t3 () (tptp.vPlus @t2 @t1)) % 0.44/0.64 (define @t4 () (@var "VX" tptp.vTerm)) % 0.44/0.64 (define @t5 () (@list @t2 @t1)) % 0.44/0.64 (define @t6 () (tptp.vIszero @t2)) % 0.44/0.64 (define @t7 () (@list @t2)) % 0.44/0.64 (define @t8 () (tptp.vPred @t2)) % 0.44/0.64 (define @t9 () (tptp.vSucc @t2)) % 0.44/0.64 (define @t10 () (@var "VTerm2" tptp.vTerm)) % 0.44/0.64 (define @t11 () (tptp.vIfelse @t2 @t1 @t10)) % 0.44/0.64 (define @t12 () (@list @t2 @t1 @t10)) % 0.44/0.64 (define @t13 () (@var "VTerm5" tptp.vTerm)) % 0.44/0.64 (define @t14 () (@var "VTerm4" tptp.vTerm)) % 0.44/0.64 (define @t15 () (@var "VTerm3" tptp.vTerm)) % 0.44/0.64 (define @t16 () (= @t2 @t1)) % 0.44/0.64 (define @t17 () (tptp.vPred @t1)) % 0.44/0.64 (define @t18 () (tptp.vIszero @t1)) % 0.44/0.64 (define @t19 () (@list @t2 @t1 @t10 @t15)) % 0.44/0.64 (define @t20 () (tptp.vPlus @t1 @t10)) % 0.44/0.64 (define @t21 () (tptp.vsomeTerm @t2)) % 0.44/0.64 (define @t22 () (@var "VX" tptp.vOptTerm)) % 0.44/0.64 (define @t23 () (@var "VX" tptp.vTy)) % 0.44/0.64 (define @t24 () (@var "Vt" tptp.vTerm)) % 0.44/0.64 (define @t25 () (@var "Vnv" tptp.vTerm)) % 0.44/0.64 (define @t26 () (tptp.visNV @t25)) % 0.44/0.64 (define @t27 () (tptp.vSucc @t25)) % 0.44/0.64 (define @t28 () (@list @t25)) % 0.44/0.64 (define @t29 () (@var "VwildcardName0" tptp.vTerm)) % 0.44/0.64 (define @t30 () (@var "Vnv0" tptp.vTerm)) % 0.44/0.64 (define @t31 () (tptp.vSucc @t30)) % 0.44/0.64 (define @t32 () (@list @t30)) % 0.44/0.64 (define @t33 () (forall @t32 (not (= @t29 @t31)))) % 0.44/0.64 (define @t34 () (not (= @t29 tptp.vZero))) % 0.44/0.64 (define @t35 () (@list @t29)) % 0.44/0.64 (define @t36 () (= @t2 @t27)) % 0.44/0.64 (define @t37 () (tptp.visNV @t2)) % 0.44/0.64 (define @t38 () (not @t26)) % 0.44/0.64 (define @t39 () (not @t37)) % 0.44/0.64 (define @t40 () (tptp.visValue tptp.vTrue)) % 0.44/0.64 (define @t41 () (tptp.visValue tptp.vFalse)) % 0.44/0.64 (define @t42 () (@var "Vt1" tptp.vTerm)) % 0.44/0.64 (define @t43 () (tptp.visNV @t42)) % 0.44/0.64 (define @t44 () (not (= @t42 tptp.vFalse))) % 0.44/0.64 (define @t45 () (not (= @t42 tptp.vTrue))) % 0.44/0.64 (define @t46 () (@list @t42)) % 0.44/0.64 (define @t47 () (= @t2 @t42)) % 0.44/0.64 (define @t48 () (tptp.visValue @t2)) % 0.44/0.64 (define @t49 () (not @t43)) % 0.44/0.64 (define @t50 () (and @t45 @t44 @t47 @t49)) % 0.44/0.64 (define @t51 () (exists @t46 @t50)) % 0.44/0.64 (define @t52 () (not @t48)) % 0.44/0.64 (define @t53 () (=> @t52 @t51)) % 0.44/0.64 (define @t54 () (forall @t7 @t53)) % 0.44/0.64 (define @t55 () (tptp.vsomeTerm @t29)) % 0.44/0.64 (define @t56 () (@var "VOptTerm0" tptp.vOptTerm)) % 0.44/0.64 (define @t57 () (tptp.visSomeTerm @t56)) % 0.44/0.64 (define @t58 () (@list @t56)) % 0.44/0.64 (define @t59 () (@var "Vt2" tptp.vTerm)) % 0.44/0.64 (define @t60 () (@var "Vt3" tptp.vTerm)) % 0.44/0.64 (define @t61 () (tptp.vplusop @t59 @t60)) % 0.44/0.64 (define @t62 () (@list @t59 @t60)) % 0.44/0.64 (define @t63 () (@var "Vt30" tptp.vTerm)) % 0.44/0.64 (define @t64 () (tptp.vSucc @t63)) % 0.44/0.64 (define @t65 () (@var "Vt31" tptp.vTerm)) % 0.44/0.64 (define @t66 () (tptp.vplusop @t2 @t1)) % 0.44/0.64 (define @t67 () (@var "Vt22" tptp.vTerm)) % 0.44/0.64 (define @t68 () (@var "Vt3000" tptp.vTerm)) % 0.44/0.64 (define @t69 () (@var "Vt21" tptp.vTerm)) % 0.44/0.64 (define @t70 () (@var "Vt20" tptp.vTerm)) % 0.44/0.64 (define @t71 () (tptp.vreduce @t42)) % 0.44/0.64 (define @t72 () (tptp.vgetTerm @t71)) % 0.44/0.64 (define @t73 () (tptp.vIfelse @t42 @t59 @t60)) % 0.44/0.64 (define @t74 () (tptp.vreduce @t73)) % 0.44/0.64 (define @t75 () (tptp.visSomeTerm @t71)) % 0.44/0.64 (define @t76 () (@var "Vt301" tptp.vTerm)) % 0.44/0.64 (define @t77 () (@var "Vt201" tptp.vTerm)) % 0.44/0.64 (define @t78 () (forall (@list @t77 @t76) (or @t44 (not (= @t59 @t77)) (not (= @t60 @t76))))) % 0.44/0.64 (define @t79 () (@var "Vt300" tptp.vTerm)) % 0.44/0.64 (define @t80 () (@var "Vt200" tptp.vTerm)) % 0.44/0.64 (define @t81 () (forall (@list @t80 @t79) (or @t45 (not (= @t59 @t80)) (not (= @t60 @t79))))) % 0.44/0.64 (define @t82 () (@list @t42 @t59 @t60)) % 0.44/0.64 (define @t83 () (not @t75)) % 0.44/0.64 (define @t84 () (tptp.vSucc @t42)) % 0.44/0.64 (define @t85 () (tptp.vreduce @t84)) % 0.44/0.64 (define @t86 () (tptp.vsomeTerm tptp.vZero)) % 0.44/0.64 (define @t87 () (tptp.vPred tptp.vZero)) % 0.44/0.64 (define @t88 () (tptp.vreduce (tptp.vPred @t27))) % 0.44/0.64 (define @t89 () (tptp.vreduce @t27)) % 0.44/0.64 (define @t90 () (tptp.vgetTerm @t89)) % 0.44/0.64 (define @t91 () (tptp.visSomeTerm @t89)) % 0.44/0.64 (define @t92 () (and @t38 @t91)) % 0.44/0.64 (define @t93 () (and @t38 (not @t91))) % 0.44/0.64 (define @t94 () (tptp.vPred @t42)) % 0.44/0.64 (define @t95 () (tptp.vreduce @t94)) % 0.44/0.64 (define @t96 () (@var "Vnv00" tptp.vTerm)) % 0.44/0.64 (define @t97 () (forall (@list @t96) (not (= @t42 (tptp.vSucc @t96))))) % 0.44/0.64 (define @t98 () (not (= @t42 tptp.vZero))) % 0.44/0.64 (define @t99 () (and @t98 @t97 @t75)) % 0.44/0.64 (define @t100 () (and @t98 @t97 @t83)) % 0.44/0.64 (define @t101 () (tptp.vsomeTerm tptp.vTrue)) % 0.44/0.64 (define @t102 () (tptp.vIszero tptp.vZero)) % 0.44/0.64 (define @t103 () (tptp.vsomeTerm tptp.vFalse)) % 0.44/0.64 (define @t104 () (tptp.vreduce (tptp.vIszero @t27))) % 0.44/0.64 (define @t105 () (tptp.vIszero @t42)) % 0.44/0.64 (define @t106 () (tptp.vreduce @t105)) % 0.44/0.64 (define @t107 () (tptp.vPlus @t42 @t59)) % 0.44/0.64 (define @t108 () (tptp.vreduce @t107)) % 0.44/0.64 (define @t109 () (tptp.visNV @t59)) % 0.44/0.64 (define @t110 () (@list @t42 @t59)) % 0.44/0.64 (define @t111 () (tptp.vreduce @t59)) % 0.44/0.64 (define @t112 () (tptp.visSomeTerm @t111)) % 0.44/0.64 (define @t113 () (not @t109)) % 0.44/0.64 (define @t114 () (= @t108 tptp.vnoTerm)) % 0.44/0.64 (define @t115 () (@var "Vt10" tptp.vTerm)) % 0.44/0.64 (define @t116 () (@list @t115)) % 0.44/0.64 (define @t117 () (tptp.vPred @t31)) % 0.44/0.64 (define @t118 () (@list @t70 @t63)) % 0.44/0.64 (define @t119 () (tptp.vIfelse tptp.vTrue @t70 @t63)) % 0.44/0.64 (define @t120 () (tptp.vreduce @t2)) % 0.44/0.64 (define @t121 () (= @t120 tptp.vnoTerm)) % 0.44/0.64 (define @t122 () (@var "VwildcardName00" tptp.vTerm)) % 0.44/0.64 (define @t123 () (@var "Vt2080" tptp.vTerm)) % 0.44/0.64 (define @t124 () (@var "Vt1040" tptp.vTerm)) % 0.44/0.64 (define @t125 () (@var "Vt1030" tptp.vTerm)) % 0.44/0.64 (define @t126 () (@var "Vnv050" tptp.vTerm)) % 0.44/0.64 (define @t127 () (@var "Vt1020" tptp.vTerm)) % 0.44/0.64 (define @t128 () (@var "Vnv040" tptp.vTerm)) % 0.44/0.64 (define @t129 () (@var "Vt1010" tptp.vTerm)) % 0.44/0.64 (define @t130 () (@var "Vt3070" tptp.vTerm)) % 0.44/0.64 (define @t131 () (@var "Vt2070" tptp.vTerm)) % 0.44/0.64 (define @t132 () (@var "Vt1000" tptp.vTerm)) % 0.44/0.64 (define @t133 () (@var "Vt3060" tptp.vTerm)) % 0.44/0.64 (define @t134 () (@var "Vt2060" tptp.vTerm)) % 0.44/0.64 (define @t135 () (@var "Vt3050" tptp.vTerm)) % 0.44/0.64 (define @t136 () (@var "Vt2050" tptp.vTerm)) % 0.44/0.64 (define @t137 () (@var "Vt28" tptp.vTerm)) % 0.44/0.64 (define @t138 () (@var "Vt112" tptp.vTerm)) % 0.44/0.64 (define @t139 () (@var "Vot13" tptp.vOptTerm)) % 0.44/0.64 (define @t140 () (@var "Vt27" tptp.vTerm)) % 0.44/0.64 (define @t141 () (@var "Vot12" tptp.vOptTerm)) % 0.44/0.64 (define @t142 () (@var "Vt111" tptp.vTerm)) % 0.44/0.64 (define @t143 () (@var "Vt26" tptp.vTerm)) % 0.44/0.64 (define @t144 () (@var "Vt110" tptp.vTerm)) % 0.44/0.64 (define @t145 () (@var "Vot211" tptp.vOptTerm)) % 0.44/0.64 (define @t146 () (@var "Vot210" tptp.vOptTerm)) % 0.44/0.64 (define @t147 () (@var "Vt19" tptp.vTerm)) % 0.44/0.64 (define @t148 () (@var "Vt25" tptp.vTerm)) % 0.44/0.64 (define @t149 () (@var "Vt24" tptp.vTerm)) % 0.44/0.64 (define @t150 () (@var "Vt18" tptp.vTerm)) % 0.44/0.64 (define @t151 () (@var "Vt17" tptp.vTerm)) % 0.44/0.64 (define @t152 () (@var "Vot29" tptp.vOptTerm)) % 0.44/0.64 (define @t153 () (@var "Vnv030" tptp.vTerm)) % 0.44/0.64 (define @t154 () (@var "Vot28" tptp.vOptTerm)) % 0.44/0.64 (define @t155 () (@var "Vt16" tptp.vTerm)) % 0.44/0.64 (define @t156 () (@var "Vnv020" tptp.vTerm)) % 0.44/0.64 (define @t157 () (@var "Vnv5" tptp.vTerm)) % 0.44/0.64 (define @t158 () (tptp.vSucc @t157)) % 0.44/0.64 (define @t159 () (@var "Vot27" tptp.vOptTerm)) % 0.44/0.64 (define @t160 () (@var "Vot26" tptp.vOptTerm)) % 0.44/0.64 (define @t161 () (@var "Vnv4" tptp.vTerm)) % 0.44/0.64 (define @t162 () (tptp.vSucc @t161)) % 0.44/0.64 (define @t163 () (@var "Vnv3" tptp.vTerm)) % 0.44/0.64 (define @t164 () (@var "Vt15" tptp.vTerm)) % 0.44/0.64 (define @t165 () (@var "Vot25" tptp.vOptTerm)) % 0.44/0.64 (define @t166 () (@var "Vnv010" tptp.vTerm)) % 0.44/0.64 (define @t167 () (@var "Vot24" tptp.vOptTerm)) % 0.44/0.64 (define @t168 () (@var "Vt14" tptp.vTerm)) % 0.44/0.64 (define @t169 () (@var "Vnv000" tptp.vTerm)) % 0.44/0.64 (define @t170 () (@var "Vnv2" tptp.vTerm)) % 0.44/0.64 (define @t171 () (tptp.vSucc @t170)) % 0.44/0.64 (define @t172 () (@var "Vot23" tptp.vOptTerm)) % 0.44/0.64 (define @t173 () (@var "Vot22" tptp.vOptTerm)) % 0.44/0.64 (define @t174 () (@var "Vnv1" tptp.vTerm)) % 0.44/0.64 (define @t175 () (tptp.vSucc @t174)) % 0.44/0.64 (define @t176 () (@var "Vt13" tptp.vTerm)) % 0.44/0.64 (define @t177 () (@var "Vot21" tptp.vOptTerm)) % 0.44/0.64 (define @t178 () (@var "Vot20" tptp.vOptTerm)) % 0.44/0.64 (define @t179 () (@var "Vt12" tptp.vTerm)) % 0.44/0.64 (define @t180 () (@var "Vt33" tptp.vTerm)) % 0.44/0.64 (define @t181 () (@var "Vt23" tptp.vTerm)) % 0.44/0.64 (define @t182 () (@var "Vt11" tptp.vTerm)) % 0.44/0.64 (define @t183 () (@var "Vot11" tptp.vOptTerm)) % 0.44/0.64 (define @t184 () (@var "Vt3040" tptp.vTerm)) % 0.44/0.64 (define @t185 () (@var "Vt2040" tptp.vTerm)) % 0.44/0.64 (define @t186 () (@var "Vt3030" tptp.vTerm)) % 0.44/0.64 (define @t187 () (@var "Vt2030" tptp.vTerm)) % 0.44/0.64 (define @t188 () (@var "Vt32" tptp.vTerm)) % 0.44/0.64 (define @t189 () (@var "Vot10" tptp.vOptTerm)) % 0.44/0.64 (define @t190 () (@var "Vt3020" tptp.vTerm)) % 0.44/0.64 (define @t191 () (@var "Vt2020" tptp.vTerm)) % 0.44/0.64 (define @t192 () (@var "Vt3010" tptp.vTerm)) % 0.44/0.64 (define @t193 () (@var "Vt2010" tptp.vTerm)) % 0.44/0.64 (define @t194 () (@var "VT" tptp.vTy)) % 0.44/0.64 (define @t195 () (tptp.vptchecksimple @t73 @t194)) % 0.44/0.64 (define @t196 () (tptp.vptchecksimple @t60 @t194)) % 0.44/0.64 (define @t197 () (tptp.vptchecksimple @t59 @t194)) % 0.44/0.64 (define @t198 () (tptp.vptchecksimple @t42 tptp.vB)) % 0.44/0.64 (define @t199 () (@list @t42 @t59 @t60 @t194)) % 0.44/0.64 (define @t200 () (= @t194 tptp.vNat)) % 0.44/0.64 (define @t201 () (@list @t194)) % 0.44/0.64 (define @t202 () (tptp.vptchecksimple @t84 tptp.vNat)) % 0.44/0.64 (define @t203 () (tptp.vptchecksimple @t42 tptp.vNat)) % 0.44/0.64 (define @t204 () (@list @t42 @t194)) % 0.44/0.64 (define @t205 () (tptp.vptchecksimple @t94 tptp.vNat)) % 0.44/0.64 (define @t206 () (tptp.vptchecksimple @t105 tptp.vB)) % 0.44/0.64 (define @t207 () (tptp.vptchecksimple @t107 tptp.vNat)) % 0.44/0.64 (define @t208 () (tptp.vptchecksimple @t59 tptp.vNat)) % 0.44/0.64 (define @t209 () (tptp.vreduce tptp.vTrue)) % 0.44/0.64 (define @t210 () (not (= @t209 tptp.vnoTerm))) % 0.44/0.64 (define @t211 () (not @t40)) % 0.44/0.64 (define @t212 () (tptp.vptchecksimple tptp.vTrue @t194)) % 0.44/0.64 (define @t213 () (and @t212 @t211)) % 0.44/0.64 (define @t214 () (=> @t213 @t210)) % 0.44/0.64 (define @t215 () (forall @t201 @t214)) % 0.44/0.64 (define @t216 () (not @t215)) % 0.44/0.64 (define @t217 () (@var "BOUND_VARIABLE_8683" tptp.vTerm)) % 0.44/0.64 (define @t218 () (forall (@list @t217) (or (not (tptp.visNV @t217)) (tptp.visValue @t217)))) % 0.44/0.64 (define @t219 () (not (= tptp.vFalse tptp.vFalse))) % 0.44/0.64 (define @t220 () (or @t219 @t41)) % 0.44/0.64 (define @t221 () (@var "BOUND_VARIABLE_8675" tptp.vTerm)) % 0.44/0.64 (define @t222 () (tptp.visValue @t221)) % 0.44/0.64 (define @t223 () (not (= tptp.vFalse @t221))) % 0.44/0.64 (define @t224 () (@list @t221)) % 0.44/0.64 (define @t225 () (or @t223 @t223 @t222)) % 0.44/0.64 (define @t226 () (or @t223 @t222)) % 0.44/0.64 (define @t227 () (forall @t224 @t226)) % 0.44/0.64 (define @t228 () (not (= tptp.vTrue tptp.vTrue))) % 0.44/0.64 (define @t229 () (or @t228 @t40)) % 0.44/0.64 (define @t230 () (@var "BOUND_VARIABLE_8667" tptp.vTerm)) % 0.44/0.64 (define @t231 () (tptp.visValue @t230)) % 0.44/0.64 (define @t232 () (not (= tptp.vTrue @t230))) % 0.44/0.64 (define @t233 () (@list @t230)) % 0.44/0.64 (define @t234 () (or @t232 @t232 @t231)) % 0.44/0.64 (define @t235 () (or @t232 @t231)) % 0.44/0.64 (define @t236 () (forall @t233 @t235)) % 0.44/0.64 (define @t237 () (or @t39 @t48)) % 0.44/0.64 (define @t238 () (forall @t7 @t237)) % 0.44/0.64 (define @t239 () (@list @t2)) % 0.44/0.64 (define @t240 () (= tptp.vFalse @t2)) % 0.44/0.64 (define @t241 () (not @t240)) % 0.44/0.64 (define @t242 () (or @t241 @t48)) % 0.44/0.64 (define @t243 () (forall @t7 @t242)) % 0.44/0.64 (define @t244 () (= tptp.vTrue @t2)) % 0.44/0.64 (define @t245 () (not @t244)) % 0.44/0.64 (define @t246 () (or @t245 @t48)) % 0.44/0.64 (define @t247 () (forall @t7 @t246)) % 0.44/0.64 (define @t248 () (and @t247 @t243 @t238)) % 0.44/0.64 (define @t249 () (and @t246 @t242 @t237)) % 0.44/0.64 (define @t250 () (and @t241 @t39)) % 0.44/0.64 (define @t251 () (and @t245 @t241 @t39)) % 0.44/0.64 (define @t252 () (or @t251 @t48)) % 0.44/0.64 (define @t253 () (or @t48 @t251)) % 0.44/0.64 (define @t254 () (or @t244 @t240 @t37)) % 0.44/0.64 (define @t255 () (not @t254)) % 0.44/0.64 (define @t256 () (not (= @t2 @t2))) % 0.44/0.64 (define @t257 () (or @t244 @t240 @t256 @t37)) % 0.44/0.64 (define @t258 () (not @t47)) % 0.44/0.64 (define @t259 () (= tptp.vFalse @t42)) % 0.44/0.64 (define @t260 () (= tptp.vTrue @t42)) % 0.44/0.64 (define @t261 () (or @t258 @t260 @t259 @t258 @t43)) % 0.44/0.64 (define @t262 () (or @t260 @t259 @t258 @t43)) % 0.44/0.64 (define @t263 () (not @t49)) % 0.44/0.64 (define @t264 () (not @t259)) % 0.44/0.64 (define @t265 () (not @t264)) % 0.44/0.64 (define @t266 () (not @t260)) % 0.44/0.64 (define @t267 () (not @t266)) % 0.44/0.64 (define @t268 () (or @t267 @t265 @t258 @t263)) % 0.44/0.64 (define @t269 () (and @t266 @t264 @t47 @t49)) % 0.44/0.64 (define @t270 () (forall @t46 (not @t269))) % 0.44/0.64 (define @t271 () (not @t270)) % 0.44/0.64 (define @t272 () (not @t212)) % 0.44/0.64 (define @t273 () (not (= tptp.vnoTerm @t209))) % 0.44/0.64 (define @t274 () (or @t40 @t273 @t272)) % 0.44/0.64 (define @t275 () (or @t272 @t40 @t273)) % 0.44/0.64 (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))))) % 0.44/0.64 (assume @p2 (forall (@list @t15 @t10 @t1 @t14 @t2 @t13) (=> (= @t11 (tptp.vIfelse @t15 @t14 @t13)) (and (= @t2 @t15) (= @t1 @t14) (= @t10 @t13))))) % 0.44/0.64 (assume @p3 (forall @t5 (=> (= @t9 (tptp.vSucc @t1)) @t16))) % 0.44/0.64 (assume @p4 (forall @t5 (=> (= @t8 @t17) @t16))) % 0.44/0.64 (assume @p5 (forall @t5 (=> (= @t6 @t18) @t16))) % 0.44/0.64 (assume @p6 (forall @t19 (=> (= @t3 (tptp.vPlus @t10 @t15)) (and (= @t2 @t10) (= @t1 @t15))))) % 0.44/0.64 (assume @p7 (not (= tptp.vTrue tptp.vFalse))) % 0.44/0.64 (assume @p8 (forall @t12 (not (= tptp.vTrue @t11)))) % 0.44/0.64 (assume @p9 (not (= tptp.vTrue tptp.vZero))) % 0.44/0.64 (assume @p10 (forall @t7 (not (= tptp.vTrue @t9)))) % 0.44/0.64 (assume @p11 (forall @t7 (not (= tptp.vTrue @t8)))) % 0.44/0.64 (assume @p12 (forall @t7 (not (= tptp.vTrue @t6)))) % 0.44/0.64 (assume @p13 (forall @t5 (not (= tptp.vTrue @t3)))) % 0.44/0.64 (assume @p14 (forall @t12 (not (= tptp.vFalse @t11)))) % 0.44/0.64 (assume @p15 (not (= tptp.vFalse tptp.vZero))) % 0.44/0.64 (assume @p16 (forall @t7 (not (= tptp.vFalse @t9)))) % 0.44/0.64 (assume @p17 (forall @t7 (not (= tptp.vFalse @t8)))) % 0.44/0.64 (assume @p18 (forall @t7 (not (= tptp.vFalse @t6)))) % 0.44/0.64 (assume @p19 (forall @t5 (not (= tptp.vFalse @t3)))) % 0.44/0.64 (assume @p20 (forall @t12 (not (= @t11 tptp.vZero)))) % 0.44/0.64 (assume @p21 (forall @t19 (not (= @t11 (tptp.vSucc @t15))))) % 0.44/0.64 (assume @p22 (forall @t19 (not (= @t11 (tptp.vPred @t15))))) % 0.44/0.64 (assume @p23 (forall @t19 (not (= @t11 (tptp.vIszero @t15))))) % 0.44/0.64 (assume @p24 (forall (@list @t15 @t10 @t1 @t14 @t2) (not (= @t11 (tptp.vPlus @t15 @t14))))) % 0.44/0.64 (assume @p25 (forall @t7 (not (= tptp.vZero @t9)))) % 0.44/0.64 (assume @p26 (forall @t7 (not (= tptp.vZero @t8)))) % 0.44/0.64 (assume @p27 (forall @t7 (not (= tptp.vZero @t6)))) % 0.44/0.64 (assume @p28 (forall @t5 (not (= tptp.vZero @t3)))) % 0.44/0.64 (assume @p29 (forall @t5 (not (= @t9 @t17)))) % 0.44/0.64 (assume @p30 (forall @t5 (not (= @t9 @t18)))) % 0.44/0.64 (assume @p31 (forall @t12 (not (= @t9 @t20)))) % 0.44/0.64 (assume @p32 (forall @t5 (not (= @t8 @t18)))) % 0.44/0.64 (assume @p33 (forall @t12 (not (= @t8 @t20)))) % 0.44/0.64 (assume @p34 (forall @t12 (not (= @t6 @t20)))) % 0.44/0.64 (assume @p35 (forall (@list @t22) (or (= @t22 tptp.vnoTerm) (exists @t7 (= @t22 @t21))))) % 0.44/0.64 (assume @p36 (forall @t5 (=> (= @t21 (tptp.vsomeTerm @t1)) @t16))) % 0.44/0.64 (assume @p37 (forall @t7 (not (= tptp.vnoTerm @t21)))) % 0.44/0.64 (assume @p38 (forall (@list @t23) (or (= @t23 tptp.vB) (= @t23 tptp.vNat)))) % 0.44/0.64 (assume @p39 (not (= tptp.vB tptp.vNat))) % 0.44/0.64 (assume @p40 (forall (@list @t24) (= (tptp.vgetTerm (tptp.vsomeTerm @t24)) @t24))) % 0.44/0.64 (assume @p41 (tptp.visNV tptp.vZero)) % 0.44/0.64 (assume @p42 (forall @t28 (= (tptp.visNV @t27) @t26))) % 0.44/0.64 (assume @p43 (forall @t35 (=> (and @t34 @t33) (not (tptp.visNV @t29))))) % 0.44/0.64 (assume @p44 (forall @t7 (=> @t37 (or (= @t2 tptp.vZero) (exists @t28 (and @t36 @t26)))))) % 0.44/0.64 (assume @p45 (forall @t7 (=> @t39 (or (exists @t28 (and @t36 @t38)) (exists @t35 (and @t34 @t33 (= @t2 @t29))))))) % 0.44/0.64 (assume @p46 @t40) % 0.44/0.64 (assume @p47 @t41) % 0.44/0.64 (assume @p48 (forall @t46 (=> (and @t45 @t44) (= (tptp.visValue @t42) @t43)))) % 0.44/0.64 (assume @p49 (forall @t7 (=> @t48 (or (= @t2 tptp.vTrue) (= @t2 tptp.vFalse) (exists @t46 (and @t45 @t44 @t47 @t43)))))) % 0.44/0.64 (assume @p50 @t54) % 0.44/0.64 (assume @p51 (not (tptp.visSomeTerm tptp.vnoTerm))) % 0.44/0.64 (assume @p52 (forall @t35 (tptp.visSomeTerm @t55))) % 0.44/0.64 (assume @p53 (forall @t58 (=> @t57 (exists @t35 (= @t56 @t55))))) % 0.44/0.64 (assume @p54 (forall @t58 (=> (not @t57) (= @t56 tptp.vnoTerm)))) % 0.44/0.64 (assume @p55 (forall (@list @t59) (= (tptp.vplusop @t59 tptp.vZero) @t59))) % 0.44/0.64 (assume @p56 (forall @t62 (= (tptp.vplusop @t59 (tptp.vSucc @t60)) (tptp.vSucc @t61)))) % 0.44/0.64 (assume @p57 (forall (@list @t60 @t59) (=> (and (not (= @t60 tptp.vZero)) (forall (@list @t63) (not (= @t60 @t64)))) (= @t61 @t60)))) % 0.44/0.64 (assume @p58 (forall @t5 (or (exists (@list @t70) (and (= @t2 @t70) (= @t1 tptp.vZero) (= @t66 @t70))) (exists (@list @t63 @t69) (and (= @t2 @t69) (= @t1 @t64) (= @t66 (tptp.vSucc (tptp.vplusop @t69 @t63))))) (exists (@list @t65 @t67) (and (not (= @t65 tptp.vZero)) (forall (@list @t68) (not (= @t65 (tptp.vSucc @t68)))) (= @t2 @t67) (= @t1 @t65) (= @t66 @t65)))))) % 0.44/0.64 (assume @p59 (forall @t62 (= (tptp.vreduce (tptp.vIfelse tptp.vTrue @t59 @t60)) (tptp.vsomeTerm @t59)))) % 0.44/0.64 (assume @p60 (forall @t62 (= (tptp.vreduce (tptp.vIfelse tptp.vFalse @t59 @t60)) (tptp.vsomeTerm @t60)))) % 0.44/0.64 (assume @p61 (forall @t82 (=> (and @t81 @t78 @t75) (= @t74 (tptp.vsomeTerm (tptp.vIfelse @t72 @t59 @t60)))))) % 0.44/0.64 (assume @p62 (forall @t82 (=> (and @t81 @t78 @t83) (= @t74 tptp.vnoTerm)))) % 0.44/0.64 (assume @p63 (forall @t46 (=> @t75 (= @t85 (tptp.vsomeTerm (tptp.vSucc @t72)))))) % 0.44/0.64 (assume @p64 (forall @t46 (=> @t83 (= @t85 tptp.vnoTerm)))) % 0.44/0.64 (assume @p65 (= (tptp.vreduce @t87) @t86)) % 0.44/0.64 (assume @p66 (forall @t28 (=> @t26 (= @t88 (tptp.vsomeTerm @t25))))) % 0.44/0.64 (assume @p67 (forall @t28 (=> @t92 (= @t88 (tptp.vsomeTerm (tptp.vPred @t90)))))) % 0.44/0.64 (assume @p68 (forall @t28 (=> @t93 (= @t88 tptp.vnoTerm)))) % 0.44/0.64 (assume @p69 (forall @t46 (=> @t99 (= @t95 (tptp.vsomeTerm (tptp.vPred @t72)))))) % 0.44/0.64 (assume @p70 (forall @t46 (=> @t100 (= @t95 tptp.vnoTerm)))) % 0.44/0.64 (assume @p71 (= (tptp.vreduce @t102) @t101)) % 0.44/0.64 (assume @p72 (forall @t28 (=> @t26 (= @t104 @t103)))) % 0.44/0.64 (assume @p73 (forall @t28 (=> @t92 (= @t104 (tptp.vsomeTerm (tptp.vIszero @t90)))))) % 0.44/0.64 (assume @p74 (forall @t28 (=> @t93 (= @t104 tptp.vnoTerm)))) % 0.44/0.64 (assume @p75 (forall @t46 (=> @t99 (= @t106 (tptp.vsomeTerm (tptp.vIszero @t72)))))) % 0.44/0.64 (assume @p76 (forall @t46 (=> @t100 (= @t106 tptp.vnoTerm)))) % 0.44/0.64 (assume @p77 (forall @t110 (=> (and @t43 @t109) (= @t108 (tptp.vsomeTerm (tptp.vplusop @t42 @t59)))))) % 0.44/0.64 (assume @p78 (forall @t110 (=> (and @t43 @t113 @t112) (= @t108 (tptp.vsomeTerm (tptp.vPlus @t42 (tptp.vgetTerm @t111))))))) % 0.44/0.64 (assume @p79 (forall @t110 (=> (and @t43 @t113 (not @t112)) @t114))) % 0.44/0.64 (assume @p80 (forall @t110 (=> (and @t49 @t75) (= @t108 (tptp.vsomeTerm (tptp.vPlus @t72 @t59)))))) % 0.44/0.64 (assume @p81 (forall @t110 (=> (and @t49 @t83) @t114))) % 0.44/0.64 (assume @p82 (forall @t35 (=> (and (forall @t118 (not (= @t29 @t119))) (forall @t118 (not (= @t29 (tptp.vIfelse tptp.vFalse @t70 @t63)))) (forall (@list @t115 @t70 @t63) (not (= @t29 (tptp.vIfelse @t115 @t70 @t63)))) (forall @t116 (not (= @t29 (tptp.vSucc @t115)))) (not (= @t29 @t87)) (forall @t32 (not (= @t29 @t117))) (forall @t116 (not (= @t29 (tptp.vPred @t115)))) (not (= @t29 @t102)) (forall @t32 (not (= @t29 (tptp.vIszero @t31)))) (forall @t116 (not (= @t29 (tptp.vIszero @t115)))) (forall (@list @t115 @t70) (not (= @t29 (tptp.vPlus @t115 @t70))))) (= (tptp.vreduce @t29) tptp.vnoTerm)))) % 0.44/0.64 (assume @p83 (forall @t7 (or (exists @t118 (and (= @t2 @t119) (= @t120 (tptp.vsomeTerm @t70)))) (exists (@list @t69 @t65) (and (= @t2 (tptp.vIfelse tptp.vFalse @t69 @t65)) (= @t120 (tptp.vsomeTerm @t65)))) (exists (@list @t115 @t67 @t188 @t189) (and (forall (@list @t193 @t192) (or (not (= @t115 tptp.vTrue)) (not (= @t67 @t193)) (not (= @t188 @t192)))) (forall (@list @t191 @t190) (or (not (= @t115 tptp.vFalse)) (not (= @t67 @t191)) (not (= @t188 @t190)))) (= @t189 (tptp.vreduce @t115)) (tptp.visSomeTerm @t189) (= @t2 (tptp.vIfelse @t115 @t67 @t188)) (= @t120 (tptp.vsomeTerm (tptp.vIfelse (tptp.vgetTerm @t189) @t67 @t188))))) (exists (@list @t182 @t181 @t180 @t183) (and (forall (@list @t187 @t186) (or (not (= @t182 tptp.vTrue)) (not (= @t181 @t187)) (not (= @t180 @t186)))) (forall (@list @t185 @t184) (or (not (= @t182 tptp.vFalse)) (not (= @t181 @t185)) (not (= @t180 @t184)))) (= @t183 (tptp.vreduce @t182)) (not (tptp.visSomeTerm @t183)) (= @t2 (tptp.vIfelse @t182 @t181 @t180)) @t121)) (exists (@list @t179 @t178) (and (= @t178 (tptp.vreduce @t179)) (tptp.visSomeTerm @t178) (= @t2 (tptp.vSucc @t179)) (= @t120 (tptp.vsomeTerm (tptp.vSucc (tptp.vgetTerm @t178)))))) (exists (@list @t176 @t177) (and (= @t177 (tptp.vreduce @t176)) (not (tptp.visSomeTerm @t177)) (= @t2 (tptp.vSucc @t176)) @t121)) (and (= @t2 @t87) (= @t120 @t86)) (exists @t32 (and (tptp.visNV @t30) (= @t2 @t117) (= @t120 (tptp.vsomeTerm @t30)))) (exists (@list @t174 @t173) (and (not (tptp.visNV @t174)) (= @t173 (tptp.vreduce @t175)) (tptp.visSomeTerm @t173) (= @t2 (tptp.vPred @t175)) (= @t120 (tptp.vsomeTerm (tptp.vPred (tptp.vgetTerm @t173)))))) (exists (@list @t170 @t172) (and (not (tptp.visNV @t170)) (= @t172 (tptp.vreduce @t171)) (not (tptp.visSomeTerm @t172)) (= @t2 (tptp.vPred @t171)) @t121)) (exists (@list @t168 @t167) (and (not (= @t168 tptp.vZero)) (forall (@list @t169) (not (= @t168 (tptp.vSucc @t169)))) (= @t167 (tptp.vreduce @t168)) (tptp.visSomeTerm @t167) (= @t2 (tptp.vPred @t168)) (= @t120 (tptp.vsomeTerm (tptp.vPred (tptp.vgetTerm @t167)))))) (exists (@list @t164 @t165) (and (not (= @t164 tptp.vZero)) (forall (@list @t166) (not (= @t164 (tptp.vSucc @t166)))) (= @t165 (tptp.vreduce @t164)) (not (tptp.visSomeTerm @t165)) (= @t2 (tptp.vPred @t164)) @t121)) (and (= @t2 @t102) (= @t120 @t101)) (exists (@list @t163) (and (tptp.visNV @t163) (= @t2 (tptp.vIszero (tptp.vSucc @t163))) (= @t120 @t103))) (exists (@list @t161 @t160) (and (not (tptp.visNV @t161)) (= @t160 (tptp.vreduce @t162)) (tptp.visSomeTerm @t160) (= @t2 (tptp.vIszero @t162)) (= @t120 (tptp.vsomeTerm (tptp.vIszero (tptp.vgetTerm @t160)))))) (exists (@list @t157 @t159) (and (not (tptp.visNV @t157)) (= @t159 (tptp.vreduce @t158)) (not (tptp.visSomeTerm @t159)) (= @t2 (tptp.vIszero @t158)) @t121)) (exists (@list @t155 @t154) (and (not (= @t155 tptp.vZero)) (forall (@list @t156) (not (= @t155 (tptp.vSucc @t156)))) (= @t154 (tptp.vreduce @t155)) (tptp.visSomeTerm @t154) (= @t2 (tptp.vIszero @t155)) (= @t120 (tptp.vsomeTerm (tptp.vIszero (tptp.vgetTerm @t154)))))) (exists (@list @t151 @t152) (and (not (= @t151 tptp.vZero)) (forall (@list @t153) (not (= @t151 (tptp.vSucc @t153)))) (= @t152 (tptp.vreduce @t151)) (not (tptp.visSomeTerm @t152)) (= @t2 (tptp.vIszero @t151)) @t121)) (exists (@list @t150 @t149) (and (tptp.visNV @t150) (tptp.visNV @t149) (= @t2 (tptp.vPlus @t150 @t149)) (= @t120 (tptp.vsomeTerm (tptp.vplusop @t150 @t149))))) (exists (@list @t147 @t148 @t146) (and (tptp.visNV @t147) (not (tptp.visNV @t148)) (= @t146 (tptp.vreduce @t148)) (tptp.visSomeTerm @t146) (= @t2 (tptp.vPlus @t147 @t148)) (= @t120 (tptp.vsomeTerm (tptp.vPlus @t147 (tptp.vgetTerm @t146)))))) (exists (@list @t144 @t143 @t145) (and (tptp.visNV @t144) (not (tptp.visNV @t143)) (= @t145 (tptp.vreduce @t143)) (not (tptp.visSomeTerm @t145)) (= @t2 (tptp.vPlus @t144 @t143)) @t121)) (exists (@list @t142 @t140 @t141) (and (not (tptp.visNV @t142)) (= @t141 (tptp.vreduce @t142)) (tptp.visSomeTerm @t141) (= @t2 (tptp.vPlus @t142 @t140)) (= @t120 (tptp.vsomeTerm (tptp.vPlus (tptp.vgetTerm @t141) @t140))))) (exists (@list @t138 @t137 @t139) (and (not (tptp.visNV @t138)) (= @t139 (tptp.vreduce @t138)) (not (tptp.visSomeTerm @t139)) (= @t2 (tptp.vPlus @t138 @t137)) @t121)) (exists (@list @t122) (and (forall (@list @t136 @t135) (not (= @t122 (tptp.vIfelse tptp.vTrue @t136 @t135)))) (forall (@list @t134 @t133) (not (= @t122 (tptp.vIfelse tptp.vFalse @t134 @t133)))) (forall (@list @t132 @t131 @t130) (not (= @t122 (tptp.vIfelse @t132 @t131 @t130)))) (forall (@list @t129) (not (= @t122 (tptp.vSucc @t129)))) (not (= @t122 @t87)) (forall (@list @t128) (not (= @t122 (tptp.vPred (tptp.vSucc @t128))))) (forall (@list @t127) (not (= @t122 (tptp.vPred @t127)))) (not (= @t122 @t102)) (forall (@list @t126) (not (= @t122 (tptp.vIszero (tptp.vSucc @t126))))) (forall (@list @t125) (not (= @t122 (tptp.vIszero @t125)))) (forall (@list @t124 @t123) (not (= @t122 (tptp.vPlus @t124 @t123)))) (= @t2 @t122) @t121))))) % 0.44/0.64 (assume @p84 (tptp.vptchecksimple tptp.vTrue tptp.vB)) % 0.44/0.64 (assume @p85 (tptp.vptchecksimple tptp.vFalse tptp.vB)) % 0.44/0.64 (assume @p86 (forall (@list @t42 @t59 @t194 @t60) (=> (and @t198 @t197 @t196) @t195))) % 0.44/0.64 (assume @p87 (forall @t199 (=> @t195 @t198))) % 0.44/0.64 (assume @p88 (forall @t199 (=> @t195 @t197))) % 0.44/0.64 (assume @p89 (forall @t199 (=> @t195 @t196))) % 0.44/0.64 (assume @p90 (tptp.vptchecksimple tptp.vZero tptp.vNat)) % 0.44/0.64 (assume @p91 (forall @t201 (=> (tptp.vptchecksimple tptp.vZero @t194) @t200))) % 0.44/0.64 (assume @p92 (forall @t46 (=> @t203 @t202))) % 0.44/0.64 (assume @p93 (forall @t204 (=> (tptp.vptchecksimple @t84 @t194) @t200))) % 0.44/0.64 (assume @p94 (forall @t46 (=> @t202 @t203))) % 0.44/0.64 (assume @p95 (forall @t46 (=> @t203 @t205))) % 0.44/0.64 (assume @p96 (forall @t46 (=> @t205 @t203))) % 0.44/0.64 (assume @p97 (forall @t204 (=> (tptp.vptchecksimple @t94 @t194) @t200))) % 0.44/0.64 (assume @p98 (forall @t46 (=> @t203 @t206))) % 0.44/0.64 (assume @p99 (forall @t46 (=> @t206 @t203))) % 0.44/0.64 (assume @p100 (forall @t204 (=> (tptp.vptchecksimple @t105 @t194) (= @t194 tptp.vB)))) % 0.44/0.64 (assume @p101 (forall @t110 (=> (and @t203 @t208) @t207))) % 0.44/0.64 (assume @p102 (forall (@list @t42 @t59 @t194) (=> (tptp.vptchecksimple @t107 @t194) @t200))) % 0.44/0.64 (assume @p103 (forall @t110 (=> @t207 @t203))) % 0.44/0.64 (assume @p104 (forall @t110 (=> @t207 @t208))) % 0.44/0.64 (assume @p105 @t216) % 0.44/0.64 (assume @p106 true) % 0.44/0.64 (step @p107 :rule refl :args (@t218)) % 0.44/0.64 (step @p108 :rule aci_norm :args ((= (or false @t41) @t41))) % 0.44/0.64 (step @p109 :rule refl :args (@t41)) % 0.44/0.64 (step @p110 :rule evaluate :args ((not true))) % 0.44/0.64 (step @p111 :rule eq-refl :args (tptp.vFalse)) % 0.44/0.64 (step @p112 :rule cong :premises (@p111) :args (@t219)) % 0.44/0.64 (step @p113 :rule trans :premises (@p112 @p110)) % 0.44/0.64 (step @p114 :rule nary_cong :premises (@p113 @p109) :args (@t220)) % 0.44/0.64 (step @p115 :rule trans :premises (@p114 @p108)) % 0.44/0.64 (step @p116 :rule quant-var-elim-eq :args ((= (forall @t224 (or (not (= @t221 tptp.vFalse)) @t223 @t222)) @t220))) % 0.44/0.64 (step @p117 :rule refl :args (@t222)) % 0.44/0.64 (step @p118 :rule refl :args (@t223)) % 0.44/0.64 (step @p119 :rule eq-symm :args (tptp.vFalse @t221)) % 0.44/0.64 (step @p120 :rule cong :premises (@p119) :args (@t223)) % 0.44/0.64 (step @p121 :rule nary_cong :premises (@p120 @p118 @p117) :args (@t225)) % 0.44/0.64 (step @p122 :rule aci_norm :args ((= @t226 @t225))) % 0.44/0.64 (step @p123 :rule trans :premises (@p122 @p121)) % 0.44/0.64 (step @p124 :rule cong :premises (@p123) :args (@t227)) % 0.44/0.64 (step @p125 :rule trans :premises (@p124 @p116)) % 0.44/0.64 (step @p126 :rule trans :premises (@p125 @p115)) % 0.44/0.64 (step @p127 :rule aci_norm :args ((= (or false @t40) @t40))) % 0.44/0.64 (step @p128 :rule refl :args (@t40)) % 0.44/0.64 (step @p129 :rule eq-refl :args (tptp.vTrue)) % 0.44/0.64 (step @p130 :rule cong :premises (@p129) :args (@t228)) % 0.44/0.64 (step @p131 :rule trans :premises (@p130 @p110)) % 0.44/0.64 (step @p132 :rule nary_cong :premises (@p131 @p128) :args (@t229)) % 0.44/0.64 (step @p133 :rule trans :premises (@p132 @p127)) % 0.44/0.64 (step @p134 :rule quant-var-elim-eq :args ((= (forall @t233 (or (not (= @t230 tptp.vTrue)) @t232 @t231)) @t229))) % 0.44/0.64 (step @p135 :rule refl :args (@t231)) % 0.44/0.64 (step @p136 :rule refl :args (@t232)) % 0.44/0.64 (step @p137 :rule eq-symm :args (tptp.vTrue @t230)) % 0.44/0.64 (step @p138 :rule cong :premises (@p137) :args (@t232)) % 0.44/0.64 (step @p139 :rule nary_cong :premises (@p138 @p136 @p135) :args (@t234)) % 0.44/0.64 (step @p140 :rule aci_norm :args ((= @t235 @t234))) % 0.44/0.64 (step @p141 :rule trans :premises (@p140 @p139)) % 0.44/0.64 (step @p142 :rule cong :premises (@p141) :args (@t236)) % 0.44/0.64 (step @p143 :rule trans :premises (@p142 @p134)) % 0.44/0.64 (step @p144 :rule trans :premises (@p143 @p133)) % 0.44/0.64 (step @p145 :rule nary_cong :premises (@p144 @p126 @p107) :args ((and @t236 @t227 @t218))) % 0.44/0.64 (step @p146 :rule alpha_equiv :args (@t238 @t239 (@list @t217))) % 0.44/0.64 (step @p147 :rule alpha_equiv :args (@t243 @t239 (@list @t221))) % 0.44/0.64 (step @p148 :rule alpha_equiv :args (@t247 @t239 (@list @t230))) % 0.44/0.64 (step @p149 :rule nary_cong :premises (@p148 @p147 @p146) :args (@t248)) % 0.44/0.64 (step @p150 :rule quant-miniscope-and :args ((= (forall @t7 @t249) @t248))) % 0.44/0.64 (step @p151 :rule trans :premises (@p150 @p149)) % 0.44/0.64 (step @p152 :rule trans :premises (@p151 @p145)) % 0.44/0.64 (step @p153 :rule aci_norm :args ((= (and @t246 (and @t242 @t237)) @t249))) % 0.44/0.64 (step @p154 :rule bool-or-and-distrib :args (@t241 @t39 true @t48 false)) % 0.44/0.64 (step @p155 :rule refl :args (@t246)) % 0.44/0.64 (step @p156 :rule nary_cong :premises (@p155 @p154) :args ((and @t246 (or @t250 @t48)))) % 0.44/0.64 (step @p157 :rule bool-or-and-distrib :args (@t245 @t241 (and @t39) @t48 false)) % 0.44/0.64 (step @p158 :rule trans :premises (@p157 @p156)) % 0.44/0.64 (step @p159 :rule trans :premises (@p158 @p153)) % 0.44/0.64 (step @p160 :rule cong :premises (@p159) :args ((forall @t7 @t252))) % 0.44/0.64 (step @p161 :rule trans :premises (@p160 @p152)) % 0.44/0.64 (step @p162 :rule aci_norm :args ((= @t253 @t252))) % 0.44/0.64 (step @p163 :rule cong :premises (@p162) :args ((forall @t7 @t253))) % 0.44/0.64 (step @p164 :rule trans :premises (@p163 @p161)) % 0.44/0.64 (step @p165 :rule aci_norm :args ((= (and @t245 @t250) @t251))) % 0.44/0.64 (step @p166 :rule bool-or-de-morgan :args (@t240 @t37 false)) % 0.44/0.64 (step @p167 :rule refl :args (@t245)) % 0.44/0.64 (step @p168 :rule nary_cong :premises (@p167 @p166) :args ((and @t245 (not (or @t240 @t37))))) % 0.44/0.64 (step @p169 :rule bool-or-de-morgan :args (@t244 @t240 (or @t37))) % 0.44/0.64 (step @p170 :rule trans :premises (@p169 @p168)) % 0.44/0.64 (step @p171 :rule trans :premises (@p170 @p165)) % 0.44/0.64 (step @p172 :rule refl :args (@t48)) % 0.44/0.64 (step @p173 :rule nary_cong :premises (@p172 @p171) :args ((or @t48 @t255))) % 0.44/0.64 (step @p174 :rule refl :args (@t255)) % 0.44/0.64 (step @p175 :rule bool-double-not-elim :args (@t48)) % 0.44/0.64 (step @p176 :rule nary_cong :premises (@p175 @p174) :args ((or (not @t52) @t255))) % 0.44/0.64 (step @p177 :rule bool-impl-elim :args (@t52 @t255)) % 0.44/0.64 (step @p178 :rule trans :premises (@p177 @p176)) % 0.44/0.64 (step @p179 :rule trans :premises (@p178 @p173)) % 0.44/0.64 (step @p180 :rule cong :premises (@p179) :args ((forall @t7 (=> @t52 @t255)))) % 0.44/0.64 (step @p181 :rule trans :premises (@p180 @p164)) % 0.44/0.64 (step @p182 :rule aci_norm :args ((= (or @t244 @t240 false @t37) @t254))) % 0.44/0.64 (step @p183 :rule refl :args (@t37)) % 0.44/0.64 (step @p184 :rule eq-refl :args (@t2)) % 0.44/0.64 (step @p185 :rule cong :premises (@p184) :args (@t256)) % 0.44/0.64 (step @p186 :rule trans :premises (@p185 @p110)) % 0.44/0.64 (step @p187 :rule refl :args (@t240)) % 0.44/0.64 (step @p188 :rule refl :args (@t244)) % 0.44/0.64 (step @p189 :rule nary_cong :premises (@p188 @p187 @p186 @p183) :args (@t257)) % 0.44/0.64 (step @p190 :rule trans :premises (@p189 @p182)) % 0.44/0.64 (step @p191 :rule quant-var-elim-eq :args ((= (forall @t46 (or (not (= @t42 @t2)) @t260 @t259 @t258 @t43)) @t257))) % 0.44/0.64 (step @p192 :rule refl :args (@t43)) % 0.44/0.64 (step @p193 :rule refl :args (@t258)) % 0.44/0.64 (step @p194 :rule refl :args (@t259)) % 0.44/0.64 (step @p195 :rule refl :args (@t260)) % 0.44/0.64 (step @p196 :rule eq-symm :args (@t2 @t42)) % 0.44/0.64 (step @p197 :rule cong :premises (@p196) :args (@t258)) % 0.44/0.64 (step @p198 :rule nary_cong :premises (@p197 @p195 @p194 @p193 @p192) :args (@t261)) % 0.44/0.64 (step @p199 :rule aci_norm :args ((= @t262 @t261))) % 0.44/0.64 (step @p200 :rule trans :premises (@p199 @p198)) % 0.44/0.64 (step @p201 :rule cong :premises (@p200) :args ((forall @t46 @t262))) % 0.44/0.64 (step @p202 :rule trans :premises (@p201 @p191)) % 0.44/0.64 (step @p203 :rule trans :premises (@p202 @p190)) % 0.44/0.64 (step @p204 :rule bool-double-not-elim :args (@t43)) % 0.44/0.64 (step @p205 :rule bool-double-not-elim :args (@t259)) % 0.44/0.64 (step @p206 :rule bool-double-not-elim :args (@t260)) % 0.44/0.64 (step @p207 :rule nary_cong :premises (@p206 @p205 @p193 @p204) :args (@t268)) % 0.44/0.64 (step @p208 :rule aci_norm :args ((= (or @t267 (or @t265 (or @t258 @t263))) @t268))) % 0.44/0.64 (step @p209 :rule trans :premises (@p208 @p207)) % 0.44/0.64 (step @p210 :rule bool-and-de-morgan :args (@t47 @t49 true)) % 0.44/0.64 (step @p211 :rule refl :args (@t265)) % 0.44/0.64 (step @p212 :rule nary_cong :premises (@p211 @p210) :args ((or @t265 (not (and @t47 @t49))))) % 0.44/0.64 (step @p213 :rule bool-and-de-morgan :args (@t264 @t47 (and @t49))) % 0.44/0.64 (step @p214 :rule trans :premises (@p213 @p212)) % 0.44/0.64 (step @p215 :rule refl :args (@t267)) % 0.44/0.64 (step @p216 :rule nary_cong :premises (@p215 @p214) :args ((or @t267 (not (and @t264 @t47 @t49))))) % 0.44/0.64 (step @p217 :rule bool-and-de-morgan :args (@t266 @t264 (and @t47 @t49))) % 0.44/0.64 (step @p218 :rule trans :premises (@p217 @p216)) % 0.44/0.64 (step @p219 :rule trans :premises (@p218 @p209)) % 0.44/0.64 (step @p220 :rule cong :premises (@p219) :args (@t270)) % 0.44/0.64 (step @p221 :rule trans :premises (@p220 @p203)) % 0.44/0.64 (step @p222 :rule cong :premises (@p221) :args (@t271)) % 0.44/0.64 (step @p223 :rule exists-elim :args ((= (exists @t46 @t269) @t271))) % 0.44/0.64 (step @p224 :rule trans :premises (@p223 @p222)) % 0.44/0.64 (step @p225 :rule refl :args (@t49)) % 0.44/0.64 (step @p226 :rule refl :args (@t47)) % 0.44/0.64 (step @p227 :rule eq-symm :args (@t42 tptp.vFalse)) % 0.44/0.64 (step @p228 :rule cong :premises (@p227) :args (@t44)) % 0.44/0.64 (step @p229 :rule eq-symm :args (@t42 tptp.vTrue)) % 0.44/0.64 (step @p230 :rule cong :premises (@p229) :args (@t45)) % 0.44/0.64 (step @p231 :rule nary_cong :premises (@p230 @p228 @p226 @p225) :args (@t50)) % 0.44/0.64 (step @p232 :rule cong :premises (@p231) :args (@t51)) % 0.44/0.64 (step @p233 :rule trans :premises (@p232 @p224)) % 0.44/0.64 (step @p234 :rule refl :args (@t52)) % 0.44/0.64 (step @p235 :rule cong :premises (@p234 @p233) :args (@t53)) % 0.44/0.64 (step @p236 :rule cong :premises (@p235) :args (@t54)) % 0.44/0.64 (step @p237 :rule trans :premises (@p236 @p181)) % 0.44/0.64 (step @p238 :rule eq_resolve :premises (@p50 @p237)) % 0.44/0.64 (step @p239 :rule and_elim :premises (@p238) :args (0)) % 0.44/0.64 (step @p240 :rule quant-miniscope-or :args ((= (forall @t201 @t274) (or @t40 @t273 (forall @t201 @t272))))) % 0.44/0.64 (step @p241 :rule aci_norm :args ((= @t275 @t274))) % 0.44/0.64 (step @p242 :rule cong :premises (@p241) :args ((forall @t201 @t275))) % 0.44/0.64 (step @p243 :rule trans :premises (@p242 @p240)) % 0.44/0.64 (step @p244 :rule aci_norm :args ((= (or (or @t272 @t40) @t273) @t275))) % 0.44/0.64 (step @p245 :rule refl :args (@t273)) % 0.44/0.64 (step @p246 :rule bool-double-not-elim :args (@t40)) % 0.44/0.64 (step @p247 :rule refl :args (@t272)) % 0.44/0.64 (step @p248 :rule nary_cong :premises (@p247 @p246) :args ((or @t272 (not @t211)))) % 0.44/0.64 (step @p249 :rule bool-and-de-morgan :args (@t212 @t211 true)) % 0.44/0.64 (step @p250 :rule trans :premises (@p249 @p248)) % 0.44/0.64 (step @p251 :rule nary_cong :premises (@p250 @p245) :args ((or (not @t213) @t273))) % 0.44/0.64 (step @p252 :rule trans :premises (@p251 @p244)) % 0.44/0.64 (step @p253 :rule bool-impl-elim :args (@t213 @t273)) % 0.44/0.64 (step @p254 :rule trans :premises (@p253 @p252)) % 0.44/0.64 (step @p255 :rule cong :premises (@p254) :args ((forall @t201 (=> @t213 @t273)))) % 0.44/0.64 (step @p256 :rule trans :premises (@p255 @p243)) % 0.44/0.64 (step @p257 :rule eq-symm :args (@t209 tptp.vnoTerm)) % 0.44/0.64 (step @p258 :rule cong :premises (@p257) :args (@t210)) % 0.44/0.64 (step @p259 :rule refl :args (@t213)) % 0.44/0.64 (step @p260 :rule cong :premises (@p259 @p258) :args (@t214)) % 0.44/0.64 (step @p261 :rule cong :premises (@p260) :args (@t215)) % 0.44/0.64 (step @p262 :rule trans :premises (@p261 @p256)) % 0.44/0.64 (step @p263 :rule cong :premises (@p262) :args (@t216)) % 0.44/0.64 (step @p264 :rule eq_resolve :premises (@p105 @p263)) % 0.44/0.64 (step @p265 :rule not_or_elim :premises (@p264) :args (0)) % 0.44/0.64 (step @p266 false :rule chain_m_resolution :premises (@p265 @p239) :args (false (@list false) (@list @t40))) % 0.44/0.64 ) % 0.44/0.64 % SZS output end Proof % 0.44/0.64 % cvc5 exiting %------------------------------------------------------------------------------