%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : COM223_1 : TPTP v9.3.0. Released v9.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n002.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 1.33s 1.53s % Output : Proof 1.33s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : COM223_1 : TPTP v9.3.0. Released v9.3.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n002.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 20:32:33 EDT 2026 % 0.16/0.34 % CPUTime : % 0.29/0.52 %----Proving TF0_NAR, FOF, or CNF % 1.33/1.53 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.33/1.53 % SZS status Theorem % 1.33/1.53 % SZS output start Proof % 1.33/1.53 ( % 1.33/1.53 (declare-sort tptp.vTy 0) % 1.33/1.53 (declare-sort tptp.vOptTerm 0) % 1.33/1.53 (declare-sort tptp.vTerm 0) % 1.33/1.53 (declare-const tptp.vt2 tptp.vTerm) % 1.33/1.53 (declare-const tptp.vt1 tptp.vTerm) % 1.33/1.53 (declare-const tptp.vptchecksimple (-> tptp.vTerm tptp.vTy Bool)) % 1.33/1.53 (declare-const tptp.vreduce (-> tptp.vTerm tptp.vOptTerm)) % 1.33/1.53 (declare-const tptp.vplusop (-> tptp.vTerm tptp.vTerm tptp.vTerm)) % 1.33/1.53 (declare-const tptp.visSomeTerm (-> tptp.vOptTerm Bool)) % 1.33/1.53 (declare-const tptp.visValue (-> tptp.vTerm Bool)) % 1.33/1.53 (declare-const tptp.visNV (-> tptp.vTerm Bool)) % 1.33/1.53 (declare-const tptp.vPlus (-> tptp.vTerm tptp.vTerm tptp.vTerm)) % 1.33/1.53 (declare-const tptp.vIszero (-> tptp.vTerm tptp.vTerm)) % 1.33/1.53 (declare-const tptp.vPred (-> tptp.vTerm tptp.vTerm)) % 1.33/1.53 (declare-const tptp.vIfelse (-> tptp.vTerm tptp.vTerm tptp.vTerm tptp.vTerm)) % 1.33/1.53 (declare-const tptp.vSucc (-> tptp.vTerm tptp.vTerm)) % 1.33/1.53 (declare-const tptp.vgetTerm (-> tptp.vOptTerm tptp.vTerm)) % 1.33/1.53 (declare-const tptp.vZero tptp.vTerm) % 1.33/1.53 (declare-const tptp.vFalse tptp.vTerm) % 1.33/1.53 (declare-const tptp.vTrue tptp.vTerm) % 1.33/1.53 (declare-const tptp.vsomeTerm (-> tptp.vTerm tptp.vOptTerm)) % 1.33/1.53 (declare-const tptp.vnoTerm tptp.vOptTerm) % 1.33/1.53 (declare-const tptp.vNat tptp.vTy) % 1.33/1.53 (declare-const tptp.vB tptp.vTy) % 1.33/1.53 (define @t1 () (@var "VTerm1" tptp.vTerm)) % 1.33/1.53 (define @t2 () (@var "VTerm0" tptp.vTerm)) % 1.33/1.53 (define @t3 () (tptp.vPlus @t2 @t1)) % 1.33/1.53 (define @t4 () (@var "VX" tptp.vTerm)) % 1.33/1.53 (define @t5 () (@list @t2 @t1)) % 1.33/1.53 (define @t6 () (tptp.vIszero @t2)) % 1.33/1.53 (define @t7 () (@list @t2)) % 1.33/1.53 (define @t8 () (tptp.vPred @t2)) % 1.33/1.53 (define @t9 () (tptp.vSucc @t2)) % 1.33/1.53 (define @t10 () (@var "VTerm2" tptp.vTerm)) % 1.33/1.53 (define @t11 () (tptp.vIfelse @t2 @t1 @t10)) % 1.33/1.53 (define @t12 () (@list @t2 @t1 @t10)) % 1.33/1.53 (define @t13 () (@var "VTerm5" tptp.vTerm)) % 1.33/1.53 (define @t14 () (@var "VTerm4" tptp.vTerm)) % 1.33/1.53 (define @t15 () (@var "VTerm3" tptp.vTerm)) % 1.33/1.53 (define @t16 () (= @t2 @t1)) % 1.33/1.53 (define @t17 () (tptp.vPred @t1)) % 1.33/1.53 (define @t18 () (tptp.vIszero @t1)) % 1.33/1.53 (define @t19 () (@list @t2 @t1 @t10 @t15)) % 1.33/1.53 (define @t20 () (tptp.vPlus @t1 @t10)) % 1.33/1.53 (define @t21 () (tptp.vsomeTerm @t2)) % 1.33/1.53 (define @t22 () (@var "VX" tptp.vOptTerm)) % 1.33/1.53 (define @t23 () (@var "VX" tptp.vTy)) % 1.33/1.53 (define @t24 () (@var "Vt" tptp.vTerm)) % 1.33/1.53 (define @t25 () (tptp.vgetTerm (tptp.vsomeTerm @t24))) % 1.33/1.53 (define @t26 () (@list @t24)) % 1.33/1.53 (define @t27 () (forall @t26 (= @t25 @t24))) % 1.33/1.53 (define @t28 () (@var "Vnv" tptp.vTerm)) % 1.33/1.53 (define @t29 () (tptp.visNV @t28)) % 1.33/1.53 (define @t30 () (tptp.vSucc @t28)) % 1.33/1.53 (define @t31 () (@list @t28)) % 1.33/1.53 (define @t32 () (@var "VwildcardName0" tptp.vTerm)) % 1.33/1.53 (define @t33 () (@var "Vnv0" tptp.vTerm)) % 1.33/1.53 (define @t34 () (tptp.vSucc @t33)) % 1.33/1.53 (define @t35 () (@list @t33)) % 1.33/1.53 (define @t36 () (forall @t35 (not (= @t32 @t34)))) % 1.33/1.53 (define @t37 () (not (= @t32 tptp.vZero))) % 1.33/1.53 (define @t38 () (@list @t32)) % 1.33/1.53 (define @t39 () (= @t2 @t30)) % 1.33/1.53 (define @t40 () (tptp.visNV @t2)) % 1.33/1.53 (define @t41 () (not @t29)) % 1.33/1.53 (define @t42 () (@var "Vt1" tptp.vTerm)) % 1.33/1.53 (define @t43 () (tptp.visNV @t42)) % 1.33/1.53 (define @t44 () (not (= @t42 tptp.vFalse))) % 1.33/1.53 (define @t45 () (not (= @t42 tptp.vTrue))) % 1.33/1.53 (define @t46 () (@list @t42)) % 1.33/1.53 (define @t47 () (= @t2 @t42)) % 1.33/1.53 (define @t48 () (tptp.visValue @t2)) % 1.33/1.53 (define @t49 () (not @t43)) % 1.33/1.53 (define @t50 () (tptp.vsomeTerm @t32)) % 1.33/1.53 (define @t51 () (@var "VOptTerm0" tptp.vOptTerm)) % 1.33/1.53 (define @t52 () (exists @t38 (= @t51 @t50))) % 1.33/1.53 (define @t53 () (tptp.visSomeTerm @t51)) % 1.33/1.53 (define @t54 () (=> @t53 @t52)) % 1.33/1.53 (define @t55 () (@list @t51)) % 1.33/1.53 (define @t56 () (forall @t55 @t54)) % 1.33/1.53 (define @t57 () (@var "Vt2" tptp.vTerm)) % 1.33/1.53 (define @t58 () (@var "Vt3" tptp.vTerm)) % 1.33/1.53 (define @t59 () (tptp.vplusop @t57 @t58)) % 1.33/1.53 (define @t60 () (@list @t57 @t58)) % 1.33/1.53 (define @t61 () (@var "Vt30" tptp.vTerm)) % 1.33/1.53 (define @t62 () (tptp.vSucc @t61)) % 1.33/1.53 (define @t63 () (@var "Vt31" tptp.vTerm)) % 1.33/1.53 (define @t64 () (tptp.vplusop @t2 @t1)) % 1.33/1.53 (define @t65 () (@var "Vt22" tptp.vTerm)) % 1.33/1.53 (define @t66 () (@var "Vt3000" tptp.vTerm)) % 1.33/1.53 (define @t67 () (@var "Vt21" tptp.vTerm)) % 1.33/1.53 (define @t68 () (@var "Vt20" tptp.vTerm)) % 1.33/1.53 (define @t69 () (tptp.vreduce @t42)) % 1.33/1.53 (define @t70 () (tptp.vgetTerm @t69)) % 1.33/1.53 (define @t71 () (tptp.vIfelse @t42 @t57 @t58)) % 1.33/1.53 (define @t72 () (tptp.vreduce @t71)) % 1.33/1.53 (define @t73 () (tptp.visSomeTerm @t69)) % 1.33/1.53 (define @t74 () (@var "Vt301" tptp.vTerm)) % 1.33/1.53 (define @t75 () (@var "Vt201" tptp.vTerm)) % 1.33/1.53 (define @t76 () (forall (@list @t75 @t74) (or @t44 (not (= @t57 @t75)) (not (= @t58 @t74))))) % 1.33/1.53 (define @t77 () (@var "Vt300" tptp.vTerm)) % 1.33/1.53 (define @t78 () (@var "Vt200" tptp.vTerm)) % 1.33/1.53 (define @t79 () (forall (@list @t78 @t77) (or @t45 (not (= @t57 @t78)) (not (= @t58 @t77))))) % 1.33/1.53 (define @t80 () (@list @t42 @t57 @t58)) % 1.33/1.53 (define @t81 () (not @t73)) % 1.33/1.53 (define @t82 () (tptp.vSucc @t42)) % 1.33/1.53 (define @t83 () (tptp.vreduce @t82)) % 1.33/1.53 (define @t84 () (tptp.vsomeTerm tptp.vZero)) % 1.33/1.53 (define @t85 () (tptp.vPred tptp.vZero)) % 1.33/1.53 (define @t86 () (tptp.vreduce (tptp.vPred @t30))) % 1.33/1.53 (define @t87 () (tptp.vreduce @t30)) % 1.33/1.53 (define @t88 () (tptp.vgetTerm @t87)) % 1.33/1.53 (define @t89 () (tptp.visSomeTerm @t87)) % 1.33/1.53 (define @t90 () (and @t41 @t89)) % 1.33/1.53 (define @t91 () (and @t41 (not @t89))) % 1.33/1.53 (define @t92 () (tptp.vPred @t42)) % 1.33/1.53 (define @t93 () (tptp.vreduce @t92)) % 1.33/1.53 (define @t94 () (@var "Vnv00" tptp.vTerm)) % 1.33/1.53 (define @t95 () (forall (@list @t94) (not (= @t42 (tptp.vSucc @t94))))) % 1.33/1.53 (define @t96 () (not (= @t42 tptp.vZero))) % 1.33/1.53 (define @t97 () (and @t96 @t95 @t73)) % 1.33/1.53 (define @t98 () (and @t96 @t95 @t81)) % 1.33/1.53 (define @t99 () (tptp.vsomeTerm tptp.vTrue)) % 1.33/1.53 (define @t100 () (tptp.vIszero tptp.vZero)) % 1.33/1.53 (define @t101 () (tptp.vsomeTerm tptp.vFalse)) % 1.33/1.53 (define @t102 () (tptp.vreduce (tptp.vIszero @t30))) % 1.33/1.53 (define @t103 () (tptp.vIszero @t42)) % 1.33/1.53 (define @t104 () (tptp.vreduce @t103)) % 1.33/1.53 (define @t105 () (tptp.vPlus @t42 @t57)) % 1.33/1.53 (define @t106 () (tptp.vreduce @t105)) % 1.33/1.53 (define @t107 () (tptp.visNV @t57)) % 1.33/1.53 (define @t108 () (@list @t42 @t57)) % 1.33/1.53 (define @t109 () (tptp.vreduce @t57)) % 1.33/1.53 (define @t110 () (= @t106 (tptp.vsomeTerm (tptp.vPlus @t42 (tptp.vgetTerm @t109))))) % 1.33/1.53 (define @t111 () (tptp.visSomeTerm @t109)) % 1.33/1.53 (define @t112 () (not @t107)) % 1.33/1.53 (define @t113 () (and @t43 @t112 @t111)) % 1.33/1.53 (define @t114 () (forall @t108 (=> @t113 @t110))) % 1.33/1.53 (define @t115 () (= @t106 tptp.vnoTerm)) % 1.33/1.53 (define @t116 () (not @t111)) % 1.33/1.53 (define @t117 () (@var "Vt10" tptp.vTerm)) % 1.33/1.53 (define @t118 () (@list @t117)) % 1.33/1.53 (define @t119 () (tptp.vPred @t34)) % 1.33/1.53 (define @t120 () (@list @t68 @t61)) % 1.33/1.53 (define @t121 () (tptp.vIfelse tptp.vTrue @t68 @t61)) % 1.33/1.53 (define @t122 () (tptp.vreduce @t2)) % 1.33/1.53 (define @t123 () (= @t122 tptp.vnoTerm)) % 1.33/1.53 (define @t124 () (@var "VwildcardName00" tptp.vTerm)) % 1.33/1.53 (define @t125 () (@var "Vt2080" tptp.vTerm)) % 1.33/1.53 (define @t126 () (@var "Vt1040" tptp.vTerm)) % 1.33/1.53 (define @t127 () (@var "Vt1030" tptp.vTerm)) % 1.33/1.53 (define @t128 () (@var "Vnv050" tptp.vTerm)) % 1.33/1.53 (define @t129 () (@var "Vt1020" tptp.vTerm)) % 1.33/1.53 (define @t130 () (@var "Vnv040" tptp.vTerm)) % 1.33/1.53 (define @t131 () (@var "Vt1010" tptp.vTerm)) % 1.33/1.53 (define @t132 () (@var "Vt3070" tptp.vTerm)) % 1.33/1.53 (define @t133 () (@var "Vt2070" tptp.vTerm)) % 1.33/1.53 (define @t134 () (@var "Vt1000" tptp.vTerm)) % 1.33/1.53 (define @t135 () (@var "Vt3060" tptp.vTerm)) % 1.33/1.53 (define @t136 () (@var "Vt2060" tptp.vTerm)) % 1.33/1.53 (define @t137 () (@var "Vt3050" tptp.vTerm)) % 1.33/1.53 (define @t138 () (@var "Vt2050" tptp.vTerm)) % 1.33/1.53 (define @t139 () (@var "Vt28" tptp.vTerm)) % 1.33/1.53 (define @t140 () (@var "Vt112" tptp.vTerm)) % 1.33/1.53 (define @t141 () (@var "Vot13" tptp.vOptTerm)) % 1.33/1.53 (define @t142 () (@var "Vt27" tptp.vTerm)) % 1.33/1.53 (define @t143 () (@var "Vot12" tptp.vOptTerm)) % 1.33/1.53 (define @t144 () (@var "Vt111" tptp.vTerm)) % 1.33/1.53 (define @t145 () (@var "Vt26" tptp.vTerm)) % 1.33/1.53 (define @t146 () (@var "Vt110" tptp.vTerm)) % 1.33/1.53 (define @t147 () (@var "Vot211" tptp.vOptTerm)) % 1.33/1.53 (define @t148 () (@var "Vot210" tptp.vOptTerm)) % 1.33/1.53 (define @t149 () (@var "Vt19" tptp.vTerm)) % 1.33/1.53 (define @t150 () (@var "Vt25" tptp.vTerm)) % 1.33/1.53 (define @t151 () (@var "Vt24" tptp.vTerm)) % 1.33/1.53 (define @t152 () (@var "Vt18" tptp.vTerm)) % 1.33/1.53 (define @t153 () (@var "Vt17" tptp.vTerm)) % 1.33/1.53 (define @t154 () (@var "Vot29" tptp.vOptTerm)) % 1.33/1.53 (define @t155 () (@var "Vnv030" tptp.vTerm)) % 1.33/1.53 (define @t156 () (@var "Vot28" tptp.vOptTerm)) % 1.33/1.53 (define @t157 () (@var "Vt16" tptp.vTerm)) % 1.33/1.53 (define @t158 () (@var "Vnv020" tptp.vTerm)) % 1.33/1.53 (define @t159 () (@var "Vnv5" tptp.vTerm)) % 1.33/1.53 (define @t160 () (tptp.vSucc @t159)) % 1.33/1.53 (define @t161 () (@var "Vot27" tptp.vOptTerm)) % 1.33/1.53 (define @t162 () (@var "Vot26" tptp.vOptTerm)) % 1.33/1.53 (define @t163 () (@var "Vnv4" tptp.vTerm)) % 1.33/1.53 (define @t164 () (tptp.vSucc @t163)) % 1.33/1.53 (define @t165 () (@var "Vnv3" tptp.vTerm)) % 1.33/1.53 (define @t166 () (@var "Vt15" tptp.vTerm)) % 1.33/1.53 (define @t167 () (@var "Vot25" tptp.vOptTerm)) % 1.33/1.53 (define @t168 () (@var "Vnv010" tptp.vTerm)) % 1.33/1.53 (define @t169 () (@var "Vot24" tptp.vOptTerm)) % 1.33/1.53 (define @t170 () (@var "Vt14" tptp.vTerm)) % 1.33/1.53 (define @t171 () (@var "Vnv000" tptp.vTerm)) % 1.33/1.53 (define @t172 () (@var "Vnv2" tptp.vTerm)) % 1.33/1.53 (define @t173 () (tptp.vSucc @t172)) % 1.33/1.53 (define @t174 () (@var "Vot23" tptp.vOptTerm)) % 1.33/1.53 (define @t175 () (@var "Vot22" tptp.vOptTerm)) % 1.33/1.53 (define @t176 () (@var "Vnv1" tptp.vTerm)) % 1.33/1.53 (define @t177 () (tptp.vSucc @t176)) % 1.33/1.53 (define @t178 () (@var "Vt13" tptp.vTerm)) % 1.33/1.53 (define @t179 () (@var "Vot21" tptp.vOptTerm)) % 1.33/1.53 (define @t180 () (@var "Vot20" tptp.vOptTerm)) % 1.33/1.53 (define @t181 () (@var "Vt12" tptp.vTerm)) % 1.33/1.53 (define @t182 () (@var "Vt33" tptp.vTerm)) % 1.33/1.53 (define @t183 () (@var "Vt23" tptp.vTerm)) % 1.33/1.53 (define @t184 () (@var "Vt11" tptp.vTerm)) % 1.33/1.53 (define @t185 () (@var "Vot11" tptp.vOptTerm)) % 1.33/1.53 (define @t186 () (@var "Vt3040" tptp.vTerm)) % 1.33/1.53 (define @t187 () (@var "Vt2040" tptp.vTerm)) % 1.33/1.53 (define @t188 () (@var "Vt3030" tptp.vTerm)) % 1.33/1.53 (define @t189 () (@var "Vt2030" tptp.vTerm)) % 1.33/1.53 (define @t190 () (@var "Vt32" tptp.vTerm)) % 1.33/1.53 (define @t191 () (@var "Vot10" tptp.vOptTerm)) % 1.33/1.53 (define @t192 () (@var "Vt3020" tptp.vTerm)) % 1.33/1.53 (define @t193 () (@var "Vt2020" tptp.vTerm)) % 1.33/1.53 (define @t194 () (@var "Vt3010" tptp.vTerm)) % 1.33/1.53 (define @t195 () (@var "Vt2010" tptp.vTerm)) % 1.33/1.53 (define @t196 () (@var "VT" tptp.vTy)) % 1.33/1.53 (define @t197 () (tptp.vptchecksimple @t71 @t196)) % 1.33/1.53 (define @t198 () (tptp.vptchecksimple @t58 @t196)) % 1.33/1.53 (define @t199 () (tptp.vptchecksimple @t57 @t196)) % 1.33/1.53 (define @t200 () (tptp.vptchecksimple @t42 tptp.vB)) % 1.33/1.53 (define @t201 () (@list @t42 @t57 @t58 @t196)) % 1.33/1.53 (define @t202 () (= @t196 tptp.vNat)) % 1.33/1.53 (define @t203 () (tptp.vptchecksimple @t82 tptp.vNat)) % 1.33/1.53 (define @t204 () (tptp.vptchecksimple @t42 tptp.vNat)) % 1.33/1.53 (define @t205 () (@list @t42 @t196)) % 1.33/1.53 (define @t206 () (tptp.vptchecksimple @t92 tptp.vNat)) % 1.33/1.53 (define @t207 () (tptp.vptchecksimple @t103 tptp.vB)) % 1.33/1.53 (define @t208 () (tptp.vptchecksimple @t105 tptp.vNat)) % 1.33/1.53 (define @t209 () (tptp.vptchecksimple @t57 tptp.vNat)) % 1.33/1.53 (define @t210 () (and @t204 @t209)) % 1.33/1.53 (define @t211 () (forall @t108 (=> @t210 @t208))) % 1.33/1.53 (define @t212 () (tptp.vptchecksimple @t105 @t196)) % 1.33/1.53 (define @t213 () (=> @t212 @t202)) % 1.33/1.53 (define @t214 () (@list @t42 @t57 @t196)) % 1.33/1.53 (define @t215 () (forall @t214 @t213)) % 1.33/1.53 (define @t216 () (forall @t108 (=> @t208 @t209))) % 1.33/1.53 (define @t217 () (@var "Vtres" tptp.vTerm)) % 1.33/1.53 (define @t218 () (tptp.vptchecksimple @t217 @t196)) % 1.33/1.53 (define @t219 () (tptp.vsomeTerm @t217)) % 1.33/1.53 (define @t220 () (@list @t196 @t217)) % 1.33/1.53 (define @t221 () (tptp.vreduce tptp.vt2)) % 1.33/1.53 (define @t222 () (tptp.vptchecksimple tptp.vt2 @t196)) % 1.33/1.53 (define @t223 () (and @t222 (= @t221 @t219))) % 1.33/1.53 (define @t224 () (=> @t223 @t218)) % 1.33/1.53 (define @t225 () (forall @t220 @t224)) % 1.33/1.53 (define @t226 () (tptp.vptchecksimple @t24 tptp.vNat)) % 1.33/1.53 (define @t227 () (tptp.visNV @t24)) % 1.33/1.53 (define @t228 () (forall @t26 (=> @t227 @t226))) % 1.33/1.53 (define @t229 () (tptp.vPlus tptp.vt1 tptp.vt2)) % 1.33/1.53 (define @t230 () (tptp.vreduce @t229)) % 1.33/1.53 (define @t231 () (tptp.vptchecksimple @t229 @t196)) % 1.33/1.53 (define @t232 () (tptp.visNV tptp.vt1)) % 1.33/1.53 (define @t233 () (tptp.visNV tptp.vt2)) % 1.33/1.53 (define @t234 () (not @t233)) % 1.33/1.53 (define @t235 () (tptp.visSomeTerm @t221)) % 1.33/1.53 (define @t236 () (and @t235 @t234 @t232 @t231 (= @t230 @t219))) % 1.33/1.53 (define @t237 () (=> @t236 @t218)) % 1.33/1.53 (define @t238 () (forall @t220 @t237)) % 1.33/1.53 (define @t239 () (not @t238)) % 1.33/1.53 (define @t240 () (= @t50 @t51)) % 1.33/1.53 (define @t241 () (not (forall @t38 (not @t240)))) % 1.33/1.53 (define @t242 () (= @t219 @t230)) % 1.33/1.53 (define @t243 () (not @t242)) % 1.33/1.53 (define @t244 () (not @t231)) % 1.33/1.53 (define @t245 () (or @t244 @t243 @t218)) % 1.33/1.53 (define @t246 () (forall @t220 @t245)) % 1.33/1.53 (define @t247 () (not @t232)) % 1.33/1.53 (define @t248 () (not @t235)) % 1.33/1.53 (define @t249 () (or @t248 @t233 @t247 @t245)) % 1.33/1.53 (define @t250 () (or @t248 @t233 @t247 @t244 @t243 @t218)) % 1.33/1.53 (define @t251 () (not @t234)) % 1.33/1.53 (define @t252 () (or @t248 @t251 @t247 @t244 @t243)) % 1.33/1.53 (define @t253 () (and @t235 @t234 @t232 @t231 @t242)) % 1.33/1.53 (define @t254 () (forall @t38 (not (= @t50 @t221)))) % 1.33/1.53 (define @t255 () (not @t254)) % 1.33/1.53 (define @t256 () (or @t248 @t255)) % 1.33/1.53 (define @t257 () (@list false false)) % 1.33/1.53 (define @t258 () (@quantifiers_skolemize @t254 0)) % 1.33/1.53 (define @t259 () (tptp.vsomeTerm @t258)) % 1.33/1.53 (define @t260 () (= @t221 @t259)) % 1.33/1.53 (define @t261 () (= @t259 @t221)) % 1.33/1.53 (define @t262 () (not (not @t261))) % 1.33/1.53 (define @t263 () (@list true)) % 1.33/1.53 (define @t264 () (@list @t254)) % 1.33/1.53 (define @t265 () (= @t219 @t221)) % 1.33/1.53 (define @t266 () (not @t265)) % 1.33/1.53 (define @t267 () (not @t222)) % 1.33/1.53 (define @t268 () (or @t267 @t266 @t218)) % 1.33/1.53 (define @t269 () (and @t222 @t265)) % 1.33/1.53 (define @t270 () (tptp.vgetTerm @t221)) % 1.33/1.53 (define @t271 () (tptp.vptchecksimple @t270 tptp.vNat)) % 1.33/1.53 (define @t272 () (tptp.vsomeTerm @t270)) % 1.33/1.53 (define @t273 () (not (= @t272 @t221))) % 1.33/1.53 (define @t274 () (tptp.vptchecksimple tptp.vt2 tptp.vNat)) % 1.33/1.53 (define @t275 () (not @t274)) % 1.33/1.53 (define @t276 () (or @t275 @t273 @t271)) % 1.33/1.53 (define @t277 () (forall @t220 @t268)) % 1.33/1.53 (define @t278 () (= @t221 @t272)) % 1.33/1.53 (define @t279 () (not @t278)) % 1.33/1.53 (define @t280 () (or @t275 @t279 @t271)) % 1.33/1.53 (define @t281 () (not @t209)) % 1.33/1.53 (define @t282 () (not @t204)) % 1.33/1.53 (define @t283 () (@quantifiers_skolemize @t246 0)) % 1.33/1.53 (define @t284 () (@quantifiers_skolemize @t246 1)) % 1.33/1.53 (define @t285 () (tptp.vptchecksimple @t284 @t283)) % 1.33/1.53 (define @t286 () (tptp.vsomeTerm @t284)) % 1.33/1.53 (define @t287 () (= @t230 @t286)) % 1.33/1.53 (define @t288 () (not @t287)) % 1.33/1.53 (define @t289 () (tptp.vptchecksimple @t229 @t283)) % 1.33/1.53 (define @t290 () (not @t289)) % 1.33/1.53 (define @t291 () (or @t290 @t288 @t285)) % 1.33/1.53 (define @t292 () (not @t291)) % 1.33/1.53 (define @t293 () (not @t246)) % 1.33/1.53 (define @t294 () (not (= @t286 @t230))) % 1.33/1.53 (define @t295 () (or @t290 @t294 @t285)) % 1.33/1.53 (define @t296 () (not @t295)) % 1.33/1.53 (define @t297 () (@list @t291)) % 1.33/1.53 (define @t298 () (= tptp.vNat @t196)) % 1.33/1.53 (define @t299 () (= tptp.vNat @t283)) % 1.33/1.53 (define @t300 () (or @t290 @t299)) % 1.33/1.53 (define @t301 () (not @t112)) % 1.33/1.53 (define @t302 () (or @t49 @t301 @t116)) % 1.33/1.53 (define @t303 () (@list tptp.vt1 tptp.vt2)) % 1.33/1.53 (define @t304 () (tptp.vPlus tptp.vt1 @t270)) % 1.33/1.53 (define @t305 () (tptp.vsomeTerm @t304)) % 1.33/1.53 (define @t306 () (= @t230 @t305)) % 1.33/1.53 (define @t307 () (or @t247 @t233 @t248 @t306)) % 1.33/1.53 (define @t308 () (tptp.vptchecksimple @t304 tptp.vNat)) % 1.33/1.53 (define @t309 () (tptp.vptchecksimple tptp.vt1 tptp.vNat)) % 1.33/1.53 (define @t310 () (or @t247 @t309)) % 1.33/1.53 (define @t311 () (not @t271)) % 1.33/1.53 (define @t312 () (not @t309)) % 1.33/1.53 (define @t313 () (or @t312 @t311 @t308)) % 1.33/1.53 (define @t314 () (@list false true false)) % 1.33/1.53 (define @t315 () (tptp.vptchecksimple @t229 tptp.vNat)) % 1.33/1.53 (define @t316 () (not @t315)) % 1.33/1.53 (define @t317 () (or @t316 @t274)) % 1.33/1.53 (define @t318 () (tptp.vgetTerm @t259)) % 1.33/1.53 (define @t319 () (= @t258 @t318)) % 1.33/1.53 (define @t320 () (not @t319)) % 1.33/1.53 (define @t321 () (not @t260)) % 1.33/1.53 (define @t322 () (and @t279 @t278)) % 1.33/1.53 (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))))) % 1.33/1.53 (assume @p2 (forall (@list @t15 @t10 @t1 @t14 @t2 @t13) (=> (= @t11 (tptp.vIfelse @t15 @t14 @t13)) (and (= @t2 @t15) (= @t1 @t14) (= @t10 @t13))))) % 1.33/1.53 (assume @p3 (forall @t5 (=> (= @t9 (tptp.vSucc @t1)) @t16))) % 1.33/1.53 (assume @p4 (forall @t5 (=> (= @t8 @t17) @t16))) % 1.33/1.53 (assume @p5 (forall @t5 (=> (= @t6 @t18) @t16))) % 1.33/1.53 (assume @p6 (forall @t19 (=> (= @t3 (tptp.vPlus @t10 @t15)) (and (= @t2 @t10) (= @t1 @t15))))) % 1.33/1.53 (assume @p7 (not (= tptp.vTrue tptp.vFalse))) % 1.33/1.53 (assume @p8 (forall @t12 (not (= tptp.vTrue @t11)))) % 1.33/1.53 (assume @p9 (not (= tptp.vTrue tptp.vZero))) % 1.33/1.53 (assume @p10 (forall @t7 (not (= tptp.vTrue @t9)))) % 1.33/1.53 (assume @p11 (forall @t7 (not (= tptp.vTrue @t8)))) % 1.33/1.53 (assume @p12 (forall @t7 (not (= tptp.vTrue @t6)))) % 1.33/1.53 (assume @p13 (forall @t5 (not (= tptp.vTrue @t3)))) % 1.33/1.53 (assume @p14 (forall @t12 (not (= tptp.vFalse @t11)))) % 1.33/1.53 (assume @p15 (not (= tptp.vFalse tptp.vZero))) % 1.33/1.53 (assume @p16 (forall @t7 (not (= tptp.vFalse @t9)))) % 1.33/1.53 (assume @p17 (forall @t7 (not (= tptp.vFalse @t8)))) % 1.33/1.53 (assume @p18 (forall @t7 (not (= tptp.vFalse @t6)))) % 1.33/1.53 (assume @p19 (forall @t5 (not (= tptp.vFalse @t3)))) % 1.33/1.53 (assume @p20 (forall @t12 (not (= @t11 tptp.vZero)))) % 1.33/1.53 (assume @p21 (forall @t19 (not (= @t11 (tptp.vSucc @t15))))) % 1.33/1.53 (assume @p22 (forall @t19 (not (= @t11 (tptp.vPred @t15))))) % 1.33/1.53 (assume @p23 (forall @t19 (not (= @t11 (tptp.vIszero @t15))))) % 1.33/1.53 (assume @p24 (forall (@list @t15 @t10 @t1 @t14 @t2) (not (= @t11 (tptp.vPlus @t15 @t14))))) % 1.33/1.53 (assume @p25 (forall @t7 (not (= tptp.vZero @t9)))) % 1.33/1.53 (assume @p26 (forall @t7 (not (= tptp.vZero @t8)))) % 1.33/1.53 (assume @p27 (forall @t7 (not (= tptp.vZero @t6)))) % 1.33/1.53 (assume @p28 (forall @t5 (not (= tptp.vZero @t3)))) % 1.33/1.53 (assume @p29 (forall @t5 (not (= @t9 @t17)))) % 1.33/1.53 (assume @p30 (forall @t5 (not (= @t9 @t18)))) % 1.33/1.53 (assume @p31 (forall @t12 (not (= @t9 @t20)))) % 1.33/1.53 (assume @p32 (forall @t5 (not (= @t8 @t18)))) % 1.33/1.53 (assume @p33 (forall @t12 (not (= @t8 @t20)))) % 1.33/1.53 (assume @p34 (forall @t12 (not (= @t6 @t20)))) % 1.33/1.53 (assume @p35 (forall (@list @t22) (or (= @t22 tptp.vnoTerm) (exists @t7 (= @t22 @t21))))) % 1.33/1.53 (assume @p36 (forall @t5 (=> (= @t21 (tptp.vsomeTerm @t1)) @t16))) % 1.33/1.53 (assume @p37 (forall @t7 (not (= tptp.vnoTerm @t21)))) % 1.33/1.53 (assume @p38 (forall (@list @t23) (or (= @t23 tptp.vB) (= @t23 tptp.vNat)))) % 1.33/1.53 (assume @p39 (not (= tptp.vB tptp.vNat))) % 1.33/1.53 (assume @p40 @t27) % 1.33/1.53 (assume @p41 (tptp.visNV tptp.vZero)) % 1.33/1.53 (assume @p42 (forall @t31 (= (tptp.visNV @t30) @t29))) % 1.33/1.53 (assume @p43 (forall @t38 (=> (and @t37 @t36) (not (tptp.visNV @t32))))) % 1.33/1.53 (assume @p44 (forall @t7 (=> @t40 (or (= @t2 tptp.vZero) (exists @t31 (and @t39 @t29)))))) % 1.33/1.53 (assume @p45 (forall @t7 (=> (not @t40) (or (exists @t31 (and @t39 @t41)) (exists @t38 (and @t37 @t36 (= @t2 @t32))))))) % 1.33/1.53 (assume @p46 (tptp.visValue tptp.vTrue)) % 1.33/1.53 (assume @p47 (tptp.visValue tptp.vFalse)) % 1.33/1.53 (assume @p48 (forall @t46 (=> (and @t45 @t44) (= (tptp.visValue @t42) @t43)))) % 1.33/1.53 (assume @p49 (forall @t7 (=> @t48 (or (= @t2 tptp.vTrue) (= @t2 tptp.vFalse) (exists @t46 (and @t45 @t44 @t47 @t43)))))) % 1.33/1.53 (assume @p50 (forall @t7 (=> (not @t48) (exists @t46 (and @t45 @t44 @t47 @t49))))) % 1.33/1.53 (assume @p51 (not (tptp.visSomeTerm tptp.vnoTerm))) % 1.33/1.53 (assume @p52 (forall @t38 (tptp.visSomeTerm @t50))) % 1.33/1.53 (assume @p53 @t56) % 1.33/1.53 (assume @p54 (forall @t55 (=> (not @t53) (= @t51 tptp.vnoTerm)))) % 1.33/1.53 (assume @p55 (forall (@list @t57) (= (tptp.vplusop @t57 tptp.vZero) @t57))) % 1.33/1.53 (assume @p56 (forall @t60 (= (tptp.vplusop @t57 (tptp.vSucc @t58)) (tptp.vSucc @t59)))) % 1.33/1.53 (assume @p57 (forall (@list @t58 @t57) (=> (and (not (= @t58 tptp.vZero)) (forall (@list @t61) (not (= @t58 @t62)))) (= @t59 @t58)))) % 1.33/1.53 (assume @p58 (forall @t5 (or (exists (@list @t68) (and (= @t2 @t68) (= @t1 tptp.vZero) (= @t64 @t68))) (exists (@list @t61 @t67) (and (= @t2 @t67) (= @t1 @t62) (= @t64 (tptp.vSucc (tptp.vplusop @t67 @t61))))) (exists (@list @t63 @t65) (and (not (= @t63 tptp.vZero)) (forall (@list @t66) (not (= @t63 (tptp.vSucc @t66)))) (= @t2 @t65) (= @t1 @t63) (= @t64 @t63)))))) % 1.33/1.53 (assume @p59 (forall @t60 (= (tptp.vreduce (tptp.vIfelse tptp.vTrue @t57 @t58)) (tptp.vsomeTerm @t57)))) % 1.33/1.53 (assume @p60 (forall @t60 (= (tptp.vreduce (tptp.vIfelse tptp.vFalse @t57 @t58)) (tptp.vsomeTerm @t58)))) % 1.33/1.53 (assume @p61 (forall @t80 (=> (and @t79 @t76 @t73) (= @t72 (tptp.vsomeTerm (tptp.vIfelse @t70 @t57 @t58)))))) % 1.33/1.53 (assume @p62 (forall @t80 (=> (and @t79 @t76 @t81) (= @t72 tptp.vnoTerm)))) % 1.33/1.53 (assume @p63 (forall @t46 (=> @t73 (= @t83 (tptp.vsomeTerm (tptp.vSucc @t70)))))) % 1.33/1.53 (assume @p64 (forall @t46 (=> @t81 (= @t83 tptp.vnoTerm)))) % 1.33/1.53 (assume @p65 (= (tptp.vreduce @t85) @t84)) % 1.33/1.53 (assume @p66 (forall @t31 (=> @t29 (= @t86 (tptp.vsomeTerm @t28))))) % 1.33/1.53 (assume @p67 (forall @t31 (=> @t90 (= @t86 (tptp.vsomeTerm (tptp.vPred @t88)))))) % 1.33/1.53 (assume @p68 (forall @t31 (=> @t91 (= @t86 tptp.vnoTerm)))) % 1.33/1.53 (assume @p69 (forall @t46 (=> @t97 (= @t93 (tptp.vsomeTerm (tptp.vPred @t70)))))) % 1.33/1.53 (assume @p70 (forall @t46 (=> @t98 (= @t93 tptp.vnoTerm)))) % 1.33/1.53 (assume @p71 (= (tptp.vreduce @t100) @t99)) % 1.33/1.53 (assume @p72 (forall @t31 (=> @t29 (= @t102 @t101)))) % 1.33/1.53 (assume @p73 (forall @t31 (=> @t90 (= @t102 (tptp.vsomeTerm (tptp.vIszero @t88)))))) % 1.33/1.53 (assume @p74 (forall @t31 (=> @t91 (= @t102 tptp.vnoTerm)))) % 1.33/1.53 (assume @p75 (forall @t46 (=> @t97 (= @t104 (tptp.vsomeTerm (tptp.vIszero @t70)))))) % 1.33/1.53 (assume @p76 (forall @t46 (=> @t98 (= @t104 tptp.vnoTerm)))) % 1.33/1.53 (assume @p77 (forall @t108 (=> (and @t43 @t107) (= @t106 (tptp.vsomeTerm (tptp.vplusop @t42 @t57)))))) % 1.33/1.53 (assume @p78 @t114) % 1.33/1.53 (assume @p79 (forall @t108 (=> (and @t43 @t112 @t116) @t115))) % 1.33/1.53 (assume @p80 (forall @t108 (=> (and @t49 @t73) (= @t106 (tptp.vsomeTerm (tptp.vPlus @t70 @t57)))))) % 1.33/1.53 (assume @p81 (forall @t108 (=> (and @t49 @t81) @t115))) % 1.33/1.53 (assume @p82 (forall @t38 (=> (and (forall @t120 (not (= @t32 @t121))) (forall @t120 (not (= @t32 (tptp.vIfelse tptp.vFalse @t68 @t61)))) (forall (@list @t117 @t68 @t61) (not (= @t32 (tptp.vIfelse @t117 @t68 @t61)))) (forall @t118 (not (= @t32 (tptp.vSucc @t117)))) (not (= @t32 @t85)) (forall @t35 (not (= @t32 @t119))) (forall @t118 (not (= @t32 (tptp.vPred @t117)))) (not (= @t32 @t100)) (forall @t35 (not (= @t32 (tptp.vIszero @t34)))) (forall @t118 (not (= @t32 (tptp.vIszero @t117)))) (forall (@list @t117 @t68) (not (= @t32 (tptp.vPlus @t117 @t68))))) (= (tptp.vreduce @t32) tptp.vnoTerm)))) % 1.33/1.53 (assume @p83 (forall @t7 (or (exists @t120 (and (= @t2 @t121) (= @t122 (tptp.vsomeTerm @t68)))) (exists (@list @t67 @t63) (and (= @t2 (tptp.vIfelse tptp.vFalse @t67 @t63)) (= @t122 (tptp.vsomeTerm @t63)))) (exists (@list @t117 @t65 @t190 @t191) (and (forall (@list @t195 @t194) (or (not (= @t117 tptp.vTrue)) (not (= @t65 @t195)) (not (= @t190 @t194)))) (forall (@list @t193 @t192) (or (not (= @t117 tptp.vFalse)) (not (= @t65 @t193)) (not (= @t190 @t192)))) (= @t191 (tptp.vreduce @t117)) (tptp.visSomeTerm @t191) (= @t2 (tptp.vIfelse @t117 @t65 @t190)) (= @t122 (tptp.vsomeTerm (tptp.vIfelse (tptp.vgetTerm @t191) @t65 @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 @t85) (= @t122 @t84)) (exists @t35 (and (tptp.visNV @t33) (= @t2 @t119) (= @t122 (tptp.vsomeTerm @t33)))) (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 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(@t292)) % 1.33/1.53 (step @p231 :rule bool-double-not-elim :args (@t246)) % 1.33/1.53 (step @p232 :rule nary_cong :premises (@p231 @p230) :args ((or (not @t293) @t292))) % 1.33/1.53 (step @p233 :rule refl :args (@t285)) % 1.33/1.53 (step @p234 :rule eq-symm :args (@t286 @t230)) % 1.33/1.53 (step @p235 :rule cong :premises (@p234) :args (@t294)) % 1.33/1.53 (step @p236 :rule refl :args (@t290)) % 1.33/1.53 (step @p237 :rule nary_cong :premises (@p236 @p235 @p233) :args (@t295)) % 1.33/1.53 (step @p238 :rule cong :premises (@p237) :args (@t296)) % 1.33/1.53 (step @p239 :rule refl :args (@t293)) % 1.33/1.53 (step @p240 :rule cong :premises (@p239 @p238) :args ((=> @t293 @t296))) % 1.33/1.53 (assume-push @p380 @t293) % 1.33/1.53 (step @p242 :rule skolemize :premises (@p229)) % 1.33/1.53 (step-pop @p381 :rule scope :premises (@p242)) % 1.33/1.53 (step @p243 :rule process_scope :premises (@p381) :args (@t296)) % 1.33/1.53 (step @p245 :rule eq_resolve :premises (@p243 @p240)) % 1.33/1.53 (step @p246 :rule implies_elim :premises (@p245)) % 1.33/1.53 (step @p247 :rule eq_resolve :premises (@p246 @p232)) % 1.33/1.53 (step @p248 :rule chain_m_resolution :premises (@p247 @p229) :args (@t292 @t263 (@list @t246))) % 1.33/1.53 (step @p249 :rule cnf_or_neg :args (@t291 2)) % 1.33/1.53 (step @p250 :rule chain_m_resolution :premises (@p249 @p248) :args ((not @t285) @t263 @t297)) % 1.33/1.53 (step @p251 :rule false_intro :premises (@p250)) % 1.33/1.53 (step @p252 :rule bool-impl-elim :args (@t212 @t298)) % 1.33/1.53 (step @p253 :rule cong :premises (@p252) :args ((forall @t214 (=> @t212 @t298)))) % 1.33/1.53 (step @p254 :rule eq-symm :args (@t196 tptp.vNat)) % 1.33/1.53 (step @p255 :rule refl :args (@t212)) % 1.33/1.53 (step @p256 :rule cong :premises (@p255 @p254) :args (@t213)) % 1.33/1.53 (step @p257 :rule cong :premises (@p256) :args (@t215)) % 1.33/1.53 (step @p258 :rule trans :premises (@p257 @p253)) % 1.33/1.53 (step @p259 :rule eq_resolve :premises (@p102 @p258)) % 1.33/1.53 (step @p260 :rule instantiate :premises (@p259) :args ((@list tptp.vt1 tptp.vt2 @t283))) % 1.33/1.53 (step @p261 :rule bool-double-not-elim :args (@t289)) % 1.33/1.53 (step @p262 :rule refl :args (@t291)) % 1.33/1.53 (step @p263 :rule nary_cong :premises (@p262 @p261) :args ((or @t291 (not @t290)))) % 1.33/1.53 (step @p264 :rule cnf_or_neg :args (@t291 0)) % 1.33/1.53 (step @p265 :rule eq_resolve :premises (@p264 @p263)) % 1.33/1.53 (step @p266 :rule reordering :premises (@p265) :args ((or @t289 @t291))) % 1.33/1.53 (step @p267 :rule chain_m_resolution :premises (@p266 @p248) :args (@t289 @t263 @t297)) % 1.33/1.53 (step @p268 :rule cnf_or_pos :args (@t300)) % 1.33/1.53 (step @p269 :rule reordering :premises (@p268) :args ((or @t290 @t299 (not @t300)))) % 1.33/1.53 (step @p270 :rule chain_m_resolution :premises (@p269 @p267 @p260) :args (@t299 @t257 (@list @t289 @t300))) % 1.33/1.53 (step @p271 :rule refl :args (@t284)) % 1.33/1.53 (step @p272 :rule cong :premises (@p271 @p270) :args ((tptp.vptchecksimple @t284 tptp.vNat))) % 1.33/1.53 (step @p273 :rule refl :args (tptp.vNat)) % 1.33/1.53 (step @p274 :rule instantiate :premises (@p189) :args ((@list @t284))) % 1.33/1.53 (step @p275 :rule symm :premises (@p274)) % 1.33/1.53 (step @p276 :rule bool-double-not-elim :args (@t287)) % 1.33/1.53 (step @p277 :rule nary_cong :premises (@p262 @p276) :args ((or @t291 (not @t288)))) % 1.33/1.53 (step @p278 :rule cnf_or_neg :args (@t291 1)) % 1.33/1.53 (step @p279 :rule eq_resolve :premises (@p278 @p277)) % 1.33/1.53 (step @p280 :rule reordering :premises (@p279) :args ((or @t287 @t291))) % 1.33/1.53 (step @p281 :rule chain_m_resolution :premises (@p280 @p248) :args (@t287 @t263 @t297)) % 1.33/1.53 (step @p282 :rule aci_norm :args ((= (or (or @t49 @t107 @t116) @t110) (or @t49 @t107 @t116 @t110)))) % 1.33/1.53 (step @p283 :rule refl :args (@t110)) % 1.33/1.53 (step @p284 :rule refl :args (@t116)) % 1.33/1.53 (step @p285 :rule bool-double-not-elim :args (@t107)) % 1.33/1.53 (step @p286 :rule refl :args (@t49)) % 1.33/1.53 (step @p287 :rule nary_cong :premises (@p286 @p285 @p284) :args (@t302)) % 1.33/1.53 (step @p288 :rule aci_norm :args ((= (or @t49 (or @t301 @t116)) @t302))) % 1.33/1.53 (step @p289 :rule trans :premises (@p288 @p287)) % 1.33/1.53 (step @p290 :rule bool-and-de-morgan :args (@t112 @t111 true)) % 1.33/1.53 (step @p291 :rule nary_cong :premises (@p286 @p290) :args ((or @t49 (not (and @t112 @t111))))) % 1.33/1.53 (step @p292 :rule bool-and-de-morgan :args (@t43 @t112 (and @t111))) % 1.33/1.53 (step @p293 :rule trans :premises (@p292 @p291)) % 1.33/1.53 (step @p294 :rule trans :premises (@p293 @p289)) % 1.33/1.53 (step @p295 :rule nary_cong :premises (@p294 @p283) :args ((or (not @t113) @t110))) % 1.33/1.53 (step @p296 :rule trans :premises (@p295 @p282)) % 1.33/1.53 (step @p297 :rule bool-impl-elim :args (@t113 @t110)) % 1.33/1.53 (step @p298 :rule trans :premises (@p297 @p296)) % 1.33/1.53 (step @p299 :rule cong :premises (@p298) :args (@t114)) % 1.33/1.53 (step @p300 :rule eq_resolve :premises (@p78 @p299)) % 1.33/1.53 (step @p301 :rule instantiate :premises (@p300) :args (@t303)) % 1.33/1.53 (step @p302 :rule not_or_elim :premises (@p165) :args (2)) % 1.33/1.53 (step @p303 :rule not_not_elim :premises (@p302)) % 1.33/1.53 (step @p304 :rule not_or_elim :premises (@p165) :args (1)) % 1.33/1.53 (step @p305 :rule cnf_or_pos :args (@t307)) % 1.33/1.53 (step @p306 :rule reordering :premises (@p305) :args ((or @t233 @t248 @t247 @t306 (not @t307)))) % 1.33/1.53 (step @p307 :rule chain_m_resolution :premises (@p306 @p304 @p167 @p303 @p301) :args (@t306 (@list true false false false) (@list @t233 @t235 @t232 @t307))) % 1.33/1.53 (step @p308 :rule symm :premises (@p307)) % 1.33/1.53 (step @p309 :rule trans :premises (@p308 @p281)) % 1.33/1.53 (step @p310 :rule cong :premises (@p309) :args ((tptp.vgetTerm @t305))) % 1.33/1.53 (step @p311 :rule instantiate :premises (@p189) :args ((@list @t304))) % 1.33/1.53 (step @p312 :rule trans :premises (@p311 @p310 @p275)) % 1.33/1.53 (step @p313 :rule cong :premises (@p312 @p273) :args (@t308)) % 1.33/1.53 (step @p314 :rule trans :premises (@p313 @p272 @p251)) % 1.33/1.53 (step @p315 :rule false_elim :premises (@p314)) % 1.33/1.53 (step @p316 :rule bool-impl-elim :args (@t227 @t226)) % 1.33/1.53 (step @p317 :rule cong :premises (@p316) :args (@t228)) % 1.33/1.53 (step @p318 :rule eq_resolve :premises (@p107 @p317)) % 1.33/1.53 (step @p319 :rule instantiate :premises (@p318) :args ((@list tptp.vt1))) % 1.33/1.53 (step @p320 :rule cnf_or_pos :args (@t310)) % 1.33/1.53 (step @p321 :rule reordering :premises (@p320) :args ((or @t247 @t309 (not @t310)))) % 1.33/1.53 (step @p322 :rule chain_m_resolution :premises (@p321 @p303 @p319) :args (@t309 @t257 (@list @t232 @t310))) % 1.33/1.53 (step @p323 :rule cnf_or_pos :args (@t313)) % 1.33/1.53 (step @p324 :rule reordering :premises (@p323) :args ((or @t312 @t311 @t308 (not @t313)))) % 1.33/1.53 (step @p325 :rule chain_m_resolution :premises (@p324 @p322 @p315 @p228) :args (@t311 @t314 (@list @t309 @t308 @t313))) % 1.33/1.53 (step @p326 :rule bool-impl-elim :args (@t208 @t209)) % 1.33/1.53 (step @p327 :rule cong :premises (@p326) :args (@t216)) % 1.33/1.53 (step @p328 :rule eq_resolve :premises (@p104 @p327)) % 1.33/1.53 (step @p329 :rule instantiate :premises (@p328) :args (@t303)) % 1.33/1.53 (step @p330 :rule true_intro :premises (@p267)) % 1.33/1.53 (step @p331 :rule refl :args (@t229)) % 1.33/1.53 (step @p332 :rule cong :premises (@p331 @p270) :args (@t315)) % 1.33/1.53 (step @p333 :rule trans :premises (@p332 @p330)) % 1.33/1.53 (step @p334 :rule true_elim :premises (@p333)) % 1.33/1.53 (step @p335 :rule cnf_or_pos :args (@t317)) % 1.33/1.53 (step @p336 :rule reordering :premises (@p335) :args ((or @t274 @t316 (not @t317)))) % 1.33/1.53 (step @p337 :rule chain_m_resolution :premises (@p336 @p334 @p329) :args (@t274 @t257 (@list @t315 @t317))) % 1.33/1.54 (step @p338 :rule cnf_or_pos :args (@t280)) % 1.33/1.54 (step @p339 :rule reordering :premises (@p338) :args ((or @t275 @t271 @t279 (not @t280)))) % 1.33/1.54 (step @p340 :rule chain_m_resolution :premises (@p339 @p337 @p325 @p218) :args (@t279 @t314 (@list @t274 @t271 @t280))) % 1.33/1.54 (step @p341 :rule bool-double-not-elim :args (@t278)) % 1.33/1.54 (step @p342 :rule refl :args (@t320)) % 1.33/1.54 (step @p343 :rule refl :args (@t321)) % 1.33/1.54 (step @p344 :rule nary_cong :premises (@p343 @p342 @p341) :args ((or @t321 @t320 (not @t279)))) % 1.33/1.54 (assume-push @p382 @t279) % 1.33/1.54 (assume-push @p383 @t278) % 1.33/1.54 (step @p347 :rule evaluate :args ((= true false))) % 1.33/1.54 (step @p348 :rule false_intro :premises (@p340)) % 1.33/1.54 (step @p349 :rule symm :premises (@p186)) % 1.33/1.54 (step @p350 :rule cong :premises (@p349) :args (@t318)) % 1.33/1.54 (step @p351 :rule trans :premises (@p190 @p350)) % 1.33/1.54 (step @p352 :rule cong :premises (@p351) :args (@t259)) % 1.33/1.54 (step @p353 :rule chain_m_resolution :premises (@p185 @p170) :args (@t260 @t263 @t264)) % 1.33/1.54 (step @p354 :rule trans :premises (@p353 @p352)) % 1.33/1.54 (step @p355 :rule true_intro :premises (@p354)) % 1.33/1.54 (step @p356 :rule symm :premises (@p355)) % 1.33/1.54 (step @p357 :rule trans :premises (@p356 @p348)) % 1.33/1.54 (step @p358 false :rule eq_resolve :premises (@p357 @p347)) % 1.33/1.54 (step-pop @p384 :rule scope :premises (@p358)) % 1.33/1.54 (step-pop @p385 :rule scope :premises (@p384)) % 1.33/1.54 (step @p359 :rule process_scope :premises (@p385) :args (false)) % 1.33/1.54 (assume-push @p386 @t260) % 1.33/1.54 (assume-push @p387 @t319) % 1.33/1.54 (assume-push @p388 @t279) % 1.33/1.54 (step @p349 :rule symm :premises (@p186)) % 1.33/1.54 (step @p350 :rule cong :premises (@p349) :args (@t318)) % 1.33/1.54 (step @p351 :rule trans :premises (@p190 @p350)) % 1.33/1.54 (step @p352 :rule cong :premises (@p351) :args (@t259)) % 1.33/1.54 (step @p365 :rule trans :premises (@p186 @p352)) % 1.33/1.54 (step @p366 :rule and_intro :premises (@p340 @p365)) % 1.33/1.54 (step-pop @p389 :rule scope :premises (@p366)) % 1.33/1.54 (step-pop @p390 :rule scope :premises (@p389)) % 1.33/1.54 (step-pop @p391 :rule scope :premises (@p390)) % 1.33/1.54 (step @p367 :rule process_scope :premises (@p391) :args (@t322)) % 1.33/1.54 (step @p371 :rule implies_elim :premises (@p367)) % 1.33/1.54 (step @p372 :rule resolution :premises (@p371 @p359) :args (true @t322)) % 1.33/1.54 (step @p373 :rule not_and :premises (@p372)) % 1.33/1.54 (step @p374 :rule eq_resolve :premises (@p373 @p344)) % 1.33/1.54 (step @p375 false :rule chain_m_resolution :premises (@p374 @p340 @p190 @p186) :args (false (@list true false false) (@list @t278 @t319 @t260))) % 1.33/1.54 ) % 1.33/1.54 % SZS output end Proof % 1.33/1.54 % cvc5 exiting %------------------------------------------------------------------------------