%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : COM237_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 : n001.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 0.35s 0.67s % Output : Proof 0.35s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.11 % Problem : COM237_1 : TPTP v9.3.0. Released v9.3.0. % 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.15/0.33 % Computer : n001.cluster.edu % 0.15/0.33 % Model : x86_64 x86_64 % 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.33 % Memory : 8042.1875MB % 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.33 % CPULimit : 300 % 0.15/0.33 % WCLimit : 300 % 0.15/0.33 % DateTime : Mon Jun 1 20:32:50 EDT 2026 % 0.15/0.33 % CPUTime : % 0.25/0.52 %----Proving TF0_NAR, FOF, or CNF % 0.35/0.67 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.35/0.67 % SZS status Theorem % 0.35/0.67 % SZS output start Proof % 0.35/0.67 ( % 0.35/0.67 (declare-sort tptp.vTy 0) % 0.35/0.67 (declare-sort tptp.vOptTerm 0) % 0.35/0.67 (declare-sort tptp.vTerm 0) % 0.35/0.67 (declare-const tptp.vt1 tptp.vTerm) % 0.35/0.67 (declare-const tptp.vptchecksimple (-> tptp.vTerm tptp.vTy Bool)) % 0.35/0.67 (declare-const tptp.vreduce (-> tptp.vTerm tptp.vOptTerm)) % 0.35/0.67 (declare-const tptp.vplusop (-> tptp.vTerm tptp.vTerm tptp.vTerm)) % 0.35/0.67 (declare-const tptp.visSomeTerm (-> tptp.vOptTerm Bool)) % 0.35/0.67 (declare-const tptp.visValue (-> tptp.vTerm Bool)) % 0.35/0.67 (declare-const tptp.visNV (-> tptp.vTerm Bool)) % 0.35/0.67 (declare-const tptp.vPlus (-> tptp.vTerm tptp.vTerm tptp.vTerm)) % 0.35/0.67 (declare-const tptp.vIszero (-> tptp.vTerm tptp.vTerm)) % 0.35/0.67 (declare-const tptp.vPred (-> tptp.vTerm tptp.vTerm)) % 0.35/0.67 (declare-const tptp.vSucc (-> tptp.vTerm tptp.vTerm)) % 0.35/0.67 (declare-const tptp.vIfelse (-> tptp.vTerm tptp.vTerm tptp.vTerm tptp.vTerm)) % 0.35/0.67 (declare-const tptp.vZero tptp.vTerm) % 0.35/0.67 (declare-const tptp.vFalse tptp.vTerm) % 0.35/0.67 (declare-const tptp.vTrue tptp.vTerm) % 0.35/0.67 (declare-const tptp.vsomeTerm (-> tptp.vTerm tptp.vOptTerm)) % 0.35/0.67 (declare-const tptp.vnoTerm tptp.vOptTerm) % 0.35/0.67 (declare-const tptp.vNat tptp.vTy) % 0.35/0.67 (declare-const tptp.vB tptp.vTy) % 0.35/0.67 (declare-const tptp.vgetTerm (-> tptp.vOptTerm tptp.vTerm)) % 0.35/0.67 (define @t1 () (@var "VTerm1" tptp.vTerm)) % 0.35/0.67 (define @t2 () (@var "VTerm0" tptp.vTerm)) % 0.35/0.67 (define @t3 () (tptp.vPlus @t2 @t1)) % 0.35/0.67 (define @t4 () (@var "VX" tptp.vTerm)) % 0.35/0.67 (define @t5 () (@list @t2 @t1)) % 0.35/0.67 (define @t6 () (tptp.vIszero @t2)) % 0.35/0.67 (define @t7 () (@list @t2)) % 0.35/0.67 (define @t8 () (tptp.vPred @t2)) % 0.35/0.67 (define @t9 () (tptp.vSucc @t2)) % 0.35/0.67 (define @t10 () (@var "VTerm2" tptp.vTerm)) % 0.35/0.67 (define @t11 () (tptp.vIfelse @t2 @t1 @t10)) % 0.35/0.67 (define @t12 () (@list @t2 @t1 @t10)) % 0.35/0.67 (define @t13 () (@var "VTerm5" tptp.vTerm)) % 0.35/0.67 (define @t14 () (@var "VTerm4" tptp.vTerm)) % 0.35/0.67 (define @t15 () (@var "VTerm3" tptp.vTerm)) % 0.35/0.67 (define @t16 () (= @t2 @t1)) % 0.35/0.67 (define @t17 () (tptp.vPred @t1)) % 0.35/0.67 (define @t18 () (tptp.vIszero @t1)) % 0.35/0.67 (define @t19 () (@list @t2 @t1 @t10 @t15)) % 0.35/0.67 (define @t20 () (tptp.vPlus @t1 @t10)) % 0.35/0.67 (define @t21 () (tptp.vsomeTerm @t2)) % 0.35/0.67 (define @t22 () (@var "VX" tptp.vOptTerm)) % 0.35/0.67 (define @t23 () (@var "VX" tptp.vTy)) % 0.35/0.67 (define @t24 () (@var "Vt" tptp.vTerm)) % 0.35/0.67 (define @t25 () (@var "Vnv" tptp.vTerm)) % 0.35/0.67 (define @t26 () (tptp.visNV @t25)) % 0.35/0.67 (define @t27 () (tptp.vSucc @t25)) % 0.35/0.67 (define @t28 () (@list @t25)) % 0.35/0.67 (define @t29 () (@var "VwildcardName0" tptp.vTerm)) % 0.35/0.67 (define @t30 () (@var "Vnv0" tptp.vTerm)) % 0.35/0.67 (define @t31 () (tptp.vSucc @t30)) % 0.35/0.67 (define @t32 () (@list @t30)) % 0.35/0.67 (define @t33 () (forall @t32 (not (= @t29 @t31)))) % 0.35/0.67 (define @t34 () (not (= @t29 tptp.vZero))) % 0.35/0.67 (define @t35 () (@list @t29)) % 0.35/0.67 (define @t36 () (= @t2 @t27)) % 0.35/0.67 (define @t37 () (tptp.visNV @t2)) % 0.35/0.67 (define @t38 () (not @t26)) % 0.35/0.67 (define @t39 () (@var "Vt1" tptp.vTerm)) % 0.35/0.67 (define @t40 () (tptp.visNV @t39)) % 0.35/0.67 (define @t41 () (not (= @t39 tptp.vFalse))) % 0.35/0.67 (define @t42 () (not (= @t39 tptp.vTrue))) % 0.35/0.67 (define @t43 () (@list @t39)) % 0.35/0.67 (define @t44 () (= @t2 @t39)) % 0.35/0.67 (define @t45 () (tptp.visValue @t2)) % 0.35/0.67 (define @t46 () (not @t40)) % 0.35/0.67 (define @t47 () (tptp.vsomeTerm @t29)) % 0.35/0.67 (define @t48 () (@var "VOptTerm0" tptp.vOptTerm)) % 0.35/0.67 (define @t49 () (tptp.visSomeTerm @t48)) % 0.35/0.67 (define @t50 () (@list @t48)) % 0.35/0.67 (define @t51 () (@var "Vt2" tptp.vTerm)) % 0.35/0.67 (define @t52 () (@var "Vt3" tptp.vTerm)) % 0.35/0.67 (define @t53 () (tptp.vplusop @t51 @t52)) % 0.35/0.67 (define @t54 () (@list @t51 @t52)) % 0.35/0.67 (define @t55 () (@var "Vt30" tptp.vTerm)) % 0.35/0.67 (define @t56 () (tptp.vSucc @t55)) % 0.35/0.67 (define @t57 () (@var "Vt31" tptp.vTerm)) % 0.35/0.67 (define @t58 () (tptp.vplusop @t2 @t1)) % 0.35/0.67 (define @t59 () (@var "Vt22" tptp.vTerm)) % 0.35/0.67 (define @t60 () (@var "Vt3000" tptp.vTerm)) % 0.35/0.67 (define @t61 () (@var "Vt21" tptp.vTerm)) % 0.35/0.67 (define @t62 () (@var "Vt20" tptp.vTerm)) % 0.35/0.67 (define @t63 () (tptp.vreduce @t39)) % 0.35/0.67 (define @t64 () (tptp.vgetTerm @t63)) % 0.35/0.67 (define @t65 () (tptp.vIfelse @t39 @t51 @t52)) % 0.35/0.67 (define @t66 () (tptp.vreduce @t65)) % 0.35/0.67 (define @t67 () (tptp.visSomeTerm @t63)) % 0.35/0.67 (define @t68 () (@var "Vt301" tptp.vTerm)) % 0.35/0.67 (define @t69 () (@var "Vt201" tptp.vTerm)) % 0.35/0.67 (define @t70 () (forall (@list @t69 @t68) (or @t41 (not (= @t51 @t69)) (not (= @t52 @t68))))) % 0.35/0.67 (define @t71 () (@var "Vt300" tptp.vTerm)) % 0.35/0.67 (define @t72 () (@var "Vt200" tptp.vTerm)) % 0.35/0.67 (define @t73 () (forall (@list @t72 @t71) (or @t42 (not (= @t51 @t72)) (not (= @t52 @t71))))) % 0.35/0.67 (define @t74 () (@list @t39 @t51 @t52)) % 0.35/0.67 (define @t75 () (not @t67)) % 0.35/0.67 (define @t76 () (tptp.vSucc @t39)) % 0.35/0.67 (define @t77 () (tptp.vreduce @t76)) % 0.35/0.67 (define @t78 () (tptp.vsomeTerm tptp.vZero)) % 0.35/0.67 (define @t79 () (tptp.vPred tptp.vZero)) % 0.35/0.67 (define @t80 () (tptp.vreduce (tptp.vPred @t27))) % 0.35/0.67 (define @t81 () (tptp.vreduce @t27)) % 0.35/0.67 (define @t82 () (tptp.vgetTerm @t81)) % 0.35/0.67 (define @t83 () (tptp.visSomeTerm @t81)) % 0.35/0.67 (define @t84 () (and @t38 @t83)) % 0.35/0.67 (define @t85 () (and @t38 (not @t83))) % 0.35/0.67 (define @t86 () (tptp.vPred @t39)) % 0.35/0.67 (define @t87 () (tptp.vreduce @t86)) % 0.35/0.67 (define @t88 () (@var "Vnv00" tptp.vTerm)) % 0.35/0.67 (define @t89 () (tptp.vSucc @t88)) % 0.35/0.67 (define @t90 () (@list @t88)) % 0.35/0.67 (define @t91 () (forall @t90 (not (= @t39 @t89)))) % 0.35/0.67 (define @t92 () (not (= @t39 tptp.vZero))) % 0.35/0.67 (define @t93 () (and @t92 @t91 @t67)) % 0.35/0.67 (define @t94 () (and @t92 @t91 @t75)) % 0.35/0.67 (define @t95 () (tptp.vsomeTerm tptp.vTrue)) % 0.35/0.67 (define @t96 () (tptp.vIszero tptp.vZero)) % 0.35/0.67 (define @t97 () (tptp.vsomeTerm tptp.vFalse)) % 0.35/0.67 (define @t98 () (tptp.vreduce (tptp.vIszero @t27))) % 0.35/0.67 (define @t99 () (tptp.vIszero @t39)) % 0.35/0.67 (define @t100 () (tptp.vreduce @t99)) % 0.35/0.67 (define @t101 () (tptp.vPlus @t39 @t51)) % 0.35/0.67 (define @t102 () (tptp.vreduce @t101)) % 0.35/0.67 (define @t103 () (tptp.visNV @t51)) % 0.35/0.67 (define @t104 () (@list @t39 @t51)) % 0.35/0.67 (define @t105 () (tptp.vreduce @t51)) % 0.35/0.67 (define @t106 () (tptp.visSomeTerm @t105)) % 0.35/0.67 (define @t107 () (not @t103)) % 0.35/0.67 (define @t108 () (= @t102 tptp.vnoTerm)) % 0.35/0.67 (define @t109 () (@var "Vt10" tptp.vTerm)) % 0.35/0.67 (define @t110 () (@list @t109)) % 0.35/0.67 (define @t111 () (tptp.vPred @t31)) % 0.35/0.67 (define @t112 () (@list @t62 @t55)) % 0.35/0.67 (define @t113 () (tptp.vIfelse tptp.vTrue @t62 @t55)) % 0.35/0.67 (define @t114 () (tptp.vreduce @t2)) % 0.35/0.67 (define @t115 () (= @t114 tptp.vnoTerm)) % 0.35/0.67 (define @t116 () (@var "VwildcardName00" tptp.vTerm)) % 0.35/0.67 (define @t117 () (@var "Vt2080" tptp.vTerm)) % 0.35/0.67 (define @t118 () (@var "Vt1040" tptp.vTerm)) % 0.35/0.67 (define @t119 () (@var "Vt1030" tptp.vTerm)) % 0.35/0.67 (define @t120 () (@var "Vnv050" tptp.vTerm)) % 0.35/0.67 (define @t121 () (@var "Vt1020" tptp.vTerm)) % 0.35/0.67 (define @t122 () (@var "Vnv040" tptp.vTerm)) % 0.35/0.67 (define @t123 () (@var "Vt1010" tptp.vTerm)) % 0.35/0.67 (define @t124 () (@var "Vt3070" tptp.vTerm)) % 0.35/0.67 (define @t125 () (@var "Vt2070" tptp.vTerm)) % 0.35/0.67 (define @t126 () (@var "Vt1000" tptp.vTerm)) % 0.35/0.67 (define @t127 () (@var "Vt3060" tptp.vTerm)) % 0.35/0.67 (define @t128 () (@var "Vt2060" tptp.vTerm)) % 0.35/0.67 (define @t129 () (@var "Vt3050" tptp.vTerm)) % 0.35/0.67 (define @t130 () (@var "Vt2050" tptp.vTerm)) % 0.35/0.67 (define @t131 () (@var "Vt28" tptp.vTerm)) % 0.35/0.67 (define @t132 () (@var "Vt112" tptp.vTerm)) % 0.35/0.67 (define @t133 () (@var "Vot13" tptp.vOptTerm)) % 0.35/0.67 (define @t134 () (@var "Vt27" tptp.vTerm)) % 0.35/0.67 (define @t135 () (@var "Vot12" tptp.vOptTerm)) % 0.35/0.67 (define @t136 () (@var "Vt111" tptp.vTerm)) % 0.35/0.67 (define @t137 () (@var "Vt26" tptp.vTerm)) % 0.35/0.67 (define @t138 () (@var "Vt110" tptp.vTerm)) % 0.35/0.67 (define @t139 () (@var "Vot211" tptp.vOptTerm)) % 0.35/0.67 (define @t140 () (@var "Vot210" tptp.vOptTerm)) % 0.35/0.67 (define @t141 () (@var "Vt19" tptp.vTerm)) % 0.35/0.67 (define @t142 () (@var "Vt25" tptp.vTerm)) % 0.35/0.67 (define @t143 () (@var "Vt24" tptp.vTerm)) % 0.35/0.67 (define @t144 () (@var "Vt18" tptp.vTerm)) % 0.35/0.67 (define @t145 () (@var "Vt17" tptp.vTerm)) % 0.35/0.67 (define @t146 () (@var "Vot29" tptp.vOptTerm)) % 0.35/0.67 (define @t147 () (@var "Vnv030" tptp.vTerm)) % 0.35/0.67 (define @t148 () (@var "Vot28" tptp.vOptTerm)) % 0.35/0.67 (define @t149 () (@var "Vt16" tptp.vTerm)) % 0.35/0.67 (define @t150 () (@var "Vnv020" tptp.vTerm)) % 0.35/0.67 (define @t151 () (@var "Vnv5" tptp.vTerm)) % 0.35/0.67 (define @t152 () (tptp.vSucc @t151)) % 0.35/0.67 (define @t153 () (@var "Vot27" tptp.vOptTerm)) % 0.35/0.67 (define @t154 () (@var "Vot26" tptp.vOptTerm)) % 0.35/0.67 (define @t155 () (@var "Vnv4" tptp.vTerm)) % 0.35/0.67 (define @t156 () (tptp.vSucc @t155)) % 0.35/0.67 (define @t157 () (@var "Vnv3" tptp.vTerm)) % 0.35/0.67 (define @t158 () (@var "Vt15" tptp.vTerm)) % 0.35/0.67 (define @t159 () (@var "Vot25" tptp.vOptTerm)) % 0.35/0.67 (define @t160 () (@var "Vnv010" tptp.vTerm)) % 0.35/0.67 (define @t161 () (@var "Vot24" tptp.vOptTerm)) % 0.35/0.67 (define @t162 () (@var "Vt14" tptp.vTerm)) % 0.35/0.67 (define @t163 () (@var "Vnv000" tptp.vTerm)) % 0.35/0.67 (define @t164 () (@var "Vnv2" tptp.vTerm)) % 0.35/0.67 (define @t165 () (tptp.vSucc @t164)) % 0.35/0.67 (define @t166 () (@var "Vot23" tptp.vOptTerm)) % 0.35/0.67 (define @t167 () (@var "Vot22" tptp.vOptTerm)) % 0.35/0.67 (define @t168 () (@var "Vnv1" tptp.vTerm)) % 0.35/0.67 (define @t169 () (tptp.vSucc @t168)) % 0.35/0.67 (define @t170 () (@var "Vt13" tptp.vTerm)) % 0.35/0.67 (define @t171 () (@var "Vot21" tptp.vOptTerm)) % 0.35/0.67 (define @t172 () (@var "Vot20" tptp.vOptTerm)) % 0.35/0.67 (define @t173 () (@var "Vt12" tptp.vTerm)) % 0.35/0.67 (define @t174 () (@var "Vt33" tptp.vTerm)) % 0.35/0.67 (define @t175 () (@var "Vt23" tptp.vTerm)) % 0.35/0.67 (define @t176 () (@var "Vt11" tptp.vTerm)) % 0.35/0.67 (define @t177 () (@var "Vot11" tptp.vOptTerm)) % 0.35/0.67 (define @t178 () (@var "Vt3040" tptp.vTerm)) % 0.35/0.67 (define @t179 () (@var "Vt2040" tptp.vTerm)) % 0.35/0.67 (define @t180 () (@var "Vt3030" tptp.vTerm)) % 0.35/0.67 (define @t181 () (@var "Vt2030" tptp.vTerm)) % 0.35/0.67 (define @t182 () (@var "Vt32" tptp.vTerm)) % 0.35/0.67 (define @t183 () (@var "Vot10" tptp.vOptTerm)) % 0.35/0.67 (define @t184 () (@var "Vt3020" tptp.vTerm)) % 0.35/0.67 (define @t185 () (@var "Vt2020" tptp.vTerm)) % 0.35/0.67 (define @t186 () (@var "Vt3010" tptp.vTerm)) % 0.35/0.67 (define @t187 () (@var "Vt2010" tptp.vTerm)) % 0.35/0.67 (define @t188 () (@var "VT" tptp.vTy)) % 0.35/0.67 (define @t189 () (tptp.vptchecksimple @t65 @t188)) % 0.35/0.67 (define @t190 () (tptp.vptchecksimple @t52 @t188)) % 0.35/0.67 (define @t191 () (tptp.vptchecksimple @t51 @t188)) % 0.35/0.67 (define @t192 () (tptp.vptchecksimple @t39 tptp.vB)) % 0.35/0.67 (define @t193 () (@list @t39 @t51 @t52 @t188)) % 0.35/0.67 (define @t194 () (= @t188 tptp.vNat)) % 0.35/0.67 (define @t195 () (@list @t188)) % 0.35/0.67 (define @t196 () (tptp.vptchecksimple @t76 tptp.vNat)) % 0.35/0.67 (define @t197 () (tptp.vptchecksimple @t39 tptp.vNat)) % 0.35/0.67 (define @t198 () (@list @t39 @t188)) % 0.35/0.67 (define @t199 () (tptp.vptchecksimple @t86 tptp.vNat)) % 0.35/0.67 (define @t200 () (tptp.vptchecksimple @t99 tptp.vB)) % 0.35/0.67 (define @t201 () (tptp.vptchecksimple @t101 tptp.vNat)) % 0.35/0.67 (define @t202 () (tptp.vptchecksimple @t51 tptp.vNat)) % 0.35/0.67 (define @t203 () (tptp.vreduce tptp.vt1)) % 0.35/0.67 (define @t204 () (tptp.vPred tptp.vt1)) % 0.35/0.67 (define @t205 () (tptp.vreduce @t204)) % 0.35/0.67 (define @t206 () (not (= @t205 tptp.vnoTerm))) % 0.35/0.67 (define @t207 () (tptp.visValue @t204)) % 0.35/0.67 (define @t208 () (not @t207)) % 0.35/0.67 (define @t209 () (tptp.vptchecksimple @t204 @t188)) % 0.35/0.67 (define @t210 () (forall @t90 (not (= tptp.vt1 @t89)))) % 0.35/0.67 (define @t211 () (not (= tptp.vt1 tptp.vZero))) % 0.35/0.67 (define @t212 () (tptp.visSomeTerm @t203)) % 0.35/0.67 (define @t213 () (and @t212 @t211 @t210 @t209 @t208)) % 0.35/0.67 (define @t214 () (=> @t213 @t206)) % 0.35/0.67 (define @t215 () (forall @t195 @t214)) % 0.35/0.67 (define @t216 () (not @t212)) % 0.35/0.67 (define @t217 () (and @t216 @t211 @t210 @t209 @t208)) % 0.35/0.67 (define @t218 () (=> @t217 @t206)) % 0.35/0.67 (define @t219 () (forall @t195 @t218)) % 0.35/0.67 (define @t220 () (forall @t32 (not (= tptp.vt1 @t31)))) % 0.35/0.67 (define @t221 () (and @t211 @t220 @t209 @t208)) % 0.35/0.67 (define @t222 () (=> @t221 @t206)) % 0.35/0.67 (define @t223 () (forall @t195 @t222)) % 0.35/0.67 (define @t224 () (not @t223)) % 0.35/0.67 (define @t225 () (not @t209)) % 0.35/0.67 (define @t226 () (forall @t195 @t225)) % 0.35/0.67 (define @t227 () (= tptp.vnoTerm @t205)) % 0.35/0.67 (define @t228 () (not @t227)) % 0.35/0.67 (define @t229 () (not @t220)) % 0.35/0.67 (define @t230 () (= tptp.vZero tptp.vt1)) % 0.35/0.67 (define @t231 () (or @t230 @t229 @t207 @t228 @t225)) % 0.35/0.67 (define @t232 () (or @t230 @t229 @t225 @t207 @t228)) % 0.35/0.67 (define @t233 () (not @t208)) % 0.35/0.67 (define @t234 () (not @t230)) % 0.35/0.67 (define @t235 () (not @t234)) % 0.35/0.67 (define @t236 () (or @t235 @t229 @t225 @t233)) % 0.35/0.67 (define @t237 () (or @t225 @t233)) % 0.35/0.67 (define @t238 () (not (and @t209 @t208))) % 0.35/0.67 (define @t239 () (and @t234 @t220 @t209 @t208)) % 0.35/0.67 (define @t240 () (not @t210)) % 0.35/0.67 (define @t241 () (or @t216 @t230 @t240 @t207 @t228 @t225)) % 0.35/0.67 (define @t242 () (or @t216 @t230 @t240 @t225 @t207 @t228)) % 0.35/0.67 (define @t243 () (or @t216 @t235 @t240 @t225 @t233)) % 0.35/0.67 (define @t244 () (or @t235 (or @t240 @t237))) % 0.35/0.67 (define @t245 () (not (and @t234 @t210 @t209 @t208))) % 0.35/0.67 (define @t246 () (and @t212 @t234 @t210 @t209 @t208)) % 0.35/0.67 (define @t247 () (or @t212 @t230 @t240 @t207 @t228 @t225)) % 0.35/0.67 (define @t248 () (or @t212 @t230 @t240 @t225 @t207 @t228)) % 0.35/0.67 (define @t249 () (not @t216)) % 0.35/0.67 (define @t250 () (or @t249 @t235 @t240 @t225 @t233)) % 0.35/0.67 (define @t251 () (and @t216 @t234 @t210 @t209 @t208)) % 0.35/0.67 (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))))) % 0.35/0.67 (assume @p2 (forall (@list @t15 @t10 @t1 @t14 @t2 @t13) (=> (= @t11 (tptp.vIfelse @t15 @t14 @t13)) (and (= @t2 @t15) (= @t1 @t14) (= @t10 @t13))))) % 0.35/0.67 (assume @p3 (forall @t5 (=> (= @t9 (tptp.vSucc @t1)) @t16))) % 0.35/0.67 (assume @p4 (forall @t5 (=> (= @t8 @t17) @t16))) % 0.35/0.67 (assume @p5 (forall @t5 (=> (= @t6 @t18) @t16))) % 0.35/0.67 (assume @p6 (forall @t19 (=> (= @t3 (tptp.vPlus @t10 @t15)) (and (= @t2 @t10) (= @t1 @t15))))) % 0.35/0.67 (assume @p7 (not (= tptp.vTrue tptp.vFalse))) % 0.35/0.67 (assume @p8 (forall @t12 (not (= tptp.vTrue @t11)))) % 0.35/0.67 (assume @p9 (not (= tptp.vTrue tptp.vZero))) % 0.35/0.67 (assume @p10 (forall @t7 (not (= tptp.vTrue @t9)))) % 0.35/0.67 (assume @p11 (forall @t7 (not (= tptp.vTrue @t8)))) % 0.35/0.67 (assume @p12 (forall @t7 (not (= tptp.vTrue @t6)))) % 0.35/0.67 (assume @p13 (forall @t5 (not (= tptp.vTrue @t3)))) % 0.35/0.67 (assume @p14 (forall @t12 (not (= tptp.vFalse @t11)))) % 0.35/0.67 (assume @p15 (not (= tptp.vFalse tptp.vZero))) % 0.35/0.67 (assume @p16 (forall @t7 (not (= tptp.vFalse @t9)))) % 0.35/0.67 (assume @p17 (forall @t7 (not (= tptp.vFalse @t8)))) % 0.35/0.67 (assume @p18 (forall @t7 (not (= tptp.vFalse @t6)))) % 0.35/0.67 (assume @p19 (forall @t5 (not (= tptp.vFalse @t3)))) % 0.35/0.67 (assume @p20 (forall @t12 (not (= @t11 tptp.vZero)))) % 0.35/0.67 (assume @p21 (forall @t19 (not (= @t11 (tptp.vSucc @t15))))) % 0.35/0.67 (assume @p22 (forall @t19 (not (= @t11 (tptp.vPred @t15))))) % 0.35/0.67 (assume @p23 (forall @t19 (not (= @t11 (tptp.vIszero @t15))))) % 0.35/0.67 (assume @p24 (forall (@list @t15 @t10 @t1 @t14 @t2) (not (= @t11 (tptp.vPlus @t15 @t14))))) % 0.35/0.67 (assume @p25 (forall @t7 (not (= tptp.vZero @t9)))) % 0.35/0.67 (assume @p26 (forall @t7 (not (= tptp.vZero @t8)))) % 0.35/0.67 (assume @p27 (forall @t7 (not (= tptp.vZero @t6)))) % 0.35/0.67 (assume @p28 (forall @t5 (not (= tptp.vZero @t3)))) % 0.35/0.67 (assume @p29 (forall @t5 (not (= @t9 @t17)))) % 0.35/0.67 (assume @p30 (forall @t5 (not (= @t9 @t18)))) % 0.35/0.67 (assume @p31 (forall @t12 (not (= @t9 @t20)))) % 0.35/0.67 (assume @p32 (forall @t5 (not (= @t8 @t18)))) % 0.35/0.67 (assume @p33 (forall @t12 (not (= @t8 @t20)))) % 0.35/0.67 (assume @p34 (forall @t12 (not (= @t6 @t20)))) % 0.35/0.67 (assume @p35 (forall (@list @t22) (or (= @t22 tptp.vnoTerm) (exists @t7 (= @t22 @t21))))) % 0.35/0.67 (assume @p36 (forall @t5 (=> (= @t21 (tptp.vsomeTerm @t1)) @t16))) % 0.35/0.67 (assume @p37 (forall @t7 (not (= tptp.vnoTerm @t21)))) % 0.35/0.67 (assume @p38 (forall (@list @t23) (or (= @t23 tptp.vB) (= @t23 tptp.vNat)))) % 0.35/0.67 (assume @p39 (not (= tptp.vB tptp.vNat))) % 0.35/0.67 (assume @p40 (forall (@list @t24) (= (tptp.vgetTerm (tptp.vsomeTerm @t24)) @t24))) % 0.35/0.67 (assume @p41 (tptp.visNV tptp.vZero)) % 0.35/0.67 (assume @p42 (forall @t28 (= (tptp.visNV @t27) @t26))) % 0.35/0.67 (assume @p43 (forall @t35 (=> (and @t34 @t33) (not (tptp.visNV @t29))))) % 0.35/0.67 (assume @p44 (forall @t7 (=> @t37 (or (= @t2 tptp.vZero) (exists @t28 (and @t36 @t26)))))) % 0.35/0.67 (assume @p45 (forall @t7 (=> (not @t37) (or (exists @t28 (and @t36 @t38)) (exists @t35 (and @t34 @t33 (= @t2 @t29))))))) % 0.35/0.67 (assume @p46 (tptp.visValue tptp.vTrue)) % 0.35/0.67 (assume @p47 (tptp.visValue tptp.vFalse)) % 0.35/0.67 (assume @p48 (forall @t43 (=> (and @t42 @t41) (= (tptp.visValue @t39) @t40)))) % 0.35/0.67 (assume @p49 (forall @t7 (=> @t45 (or (= @t2 tptp.vTrue) (= @t2 tptp.vFalse) (exists @t43 (and @t42 @t41 @t44 @t40)))))) % 0.35/0.67 (assume @p50 (forall @t7 (=> (not @t45) (exists @t43 (and @t42 @t41 @t44 @t46))))) % 0.35/0.67 (assume @p51 (not (tptp.visSomeTerm tptp.vnoTerm))) % 0.35/0.67 (assume @p52 (forall @t35 (tptp.visSomeTerm @t47))) % 0.35/0.67 (assume @p53 (forall @t50 (=> @t49 (exists @t35 (= @t48 @t47))))) % 0.35/0.67 (assume @p54 (forall @t50 (=> (not @t49) (= @t48 tptp.vnoTerm)))) % 0.35/0.67 (assume @p55 (forall (@list @t51) (= (tptp.vplusop @t51 tptp.vZero) @t51))) % 0.35/0.67 (assume @p56 (forall @t54 (= (tptp.vplusop @t51 (tptp.vSucc @t52)) (tptp.vSucc @t53)))) % 0.35/0.67 (assume @p57 (forall (@list @t52 @t51) (=> (and (not (= @t52 tptp.vZero)) (forall (@list @t55) (not (= @t52 @t56)))) (= @t53 @t52)))) % 0.35/0.67 (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)))))) % 0.35/0.67 (assume @p59 (forall @t54 (= (tptp.vreduce (tptp.vIfelse tptp.vTrue @t51 @t52)) (tptp.vsomeTerm @t51)))) % 0.35/0.67 (assume @p60 (forall @t54 (= (tptp.vreduce (tptp.vIfelse tptp.vFalse @t51 @t52)) (tptp.vsomeTerm @t52)))) % 0.35/0.67 (assume @p61 (forall @t74 (=> (and @t73 @t70 @t67) (= @t66 (tptp.vsomeTerm (tptp.vIfelse @t64 @t51 @t52)))))) % 0.35/0.67 (assume @p62 (forall @t74 (=> (and @t73 @t70 @t75) (= @t66 tptp.vnoTerm)))) % 0.35/0.67 (assume @p63 (forall @t43 (=> @t67 (= @t77 (tptp.vsomeTerm (tptp.vSucc @t64)))))) % 0.35/0.67 (assume @p64 (forall @t43 (=> @t75 (= @t77 tptp.vnoTerm)))) % 0.35/0.67 (assume @p65 (= (tptp.vreduce @t79) @t78)) % 0.35/0.67 (assume @p66 (forall @t28 (=> @t26 (= @t80 (tptp.vsomeTerm @t25))))) % 0.35/0.67 (assume @p67 (forall @t28 (=> @t84 (= @t80 (tptp.vsomeTerm (tptp.vPred @t82)))))) % 0.35/0.67 (assume @p68 (forall @t28 (=> @t85 (= @t80 tptp.vnoTerm)))) % 0.35/0.67 (assume @p69 (forall @t43 (=> @t93 (= @t87 (tptp.vsomeTerm (tptp.vPred @t64)))))) % 0.35/0.67 (assume @p70 (forall @t43 (=> @t94 (= @t87 tptp.vnoTerm)))) % 0.35/0.67 (assume @p71 (= (tptp.vreduce @t96) @t95)) % 0.35/0.67 (assume @p72 (forall @t28 (=> @t26 (= @t98 @t97)))) % 0.35/0.67 (assume @p73 (forall @t28 (=> @t84 (= @t98 (tptp.vsomeTerm (tptp.vIszero @t82)))))) % 0.35/0.67 (assume @p74 (forall @t28 (=> @t85 (= @t98 tptp.vnoTerm)))) % 0.35/0.67 (assume @p75 (forall @t43 (=> @t93 (= @t100 (tptp.vsomeTerm (tptp.vIszero @t64)))))) % 0.35/0.67 (assume @p76 (forall @t43 (=> @t94 (= @t100 tptp.vnoTerm)))) % 0.35/0.67 (assume @p77 (forall @t104 (=> (and @t40 @t103) (= @t102 (tptp.vsomeTerm (tptp.vplusop @t39 @t51)))))) % 0.35/0.67 (assume @p78 (forall @t104 (=> (and @t40 @t107 @t106) (= @t102 (tptp.vsomeTerm (tptp.vPlus @t39 (tptp.vgetTerm @t105))))))) % 0.35/0.67 (assume @p79 (forall @t104 (=> (and @t40 @t107 (not @t106)) @t108))) % 0.35/0.67 (assume @p80 (forall @t104 (=> (and @t46 @t67) (= @t102 (tptp.vsomeTerm (tptp.vPlus @t64 @t51)))))) % 0.35/0.67 (assume @p81 (forall @t104 (=> (and @t46 @t75) @t108))) % 0.35/0.67 (assume @p82 (forall @t35 (=> (and (forall @t112 (not (= @t29 @t113))) (forall @t112 (not (= @t29 (tptp.vIfelse tptp.vFalse @t62 @t55)))) (forall (@list @t109 @t62 @t55) (not (= @t29 (tptp.vIfelse @t109 @t62 @t55)))) (forall @t110 (not (= @t29 (tptp.vSucc @t109)))) (not (= @t29 @t79)) (forall @t32 (not (= @t29 @t111))) (forall @t110 (not (= @t29 (tptp.vPred @t109)))) (not (= @t29 @t96)) (forall @t32 (not (= @t29 (tptp.vIszero @t31)))) (forall @t110 (not (= @t29 (tptp.vIszero @t109)))) (forall (@list @t109 @t62) (not (= @t29 (tptp.vPlus @t109 @t62))))) (= (tptp.vreduce @t29) tptp.vnoTerm)))) % 0.35/0.67 (assume @p83 (forall @t7 (or (exists @t112 (and (= @t2 @t113) (= @t114 (tptp.vsomeTerm @t62)))) (exists (@list @t61 @t57) (and (= @t2 (tptp.vIfelse tptp.vFalse @t61 @t57)) (= @t114 (tptp.vsomeTerm @t57)))) (exists (@list @t109 @t59 @t182 @t183) (and (forall (@list @t187 @t186) (or (not (= @t109 tptp.vTrue)) (not (= @t59 @t187)) (not (= @t182 @t186)))) (forall (@list @t185 @t184) (or (not (= @t109 tptp.vFalse)) (not (= @t59 @t185)) (not (= @t182 @t184)))) (= @t183 (tptp.vreduce @t109)) (tptp.visSomeTerm @t183) (= @t2 (tptp.vIfelse @t109 @t59 @t182)) (= @t114 (tptp.vsomeTerm (tptp.vIfelse (tptp.vgetTerm @t183) @t59 @t182))))) (exists (@list @t176 @t175 @t174 @t177) (and (forall (@list @t181 @t180) (or (not (= @t176 tptp.vTrue)) (not (= @t175 @t181)) (not (= @t174 @t180)))) (forall (@list @t179 @t178) (or (not (= @t176 tptp.vFalse)) (not (= @t175 @t179)) (not (= @t174 @t178)))) (= @t177 (tptp.vreduce @t176)) (not (tptp.visSomeTerm @t177)) (= @t2 (tptp.vIfelse @t176 @t175 @t174)) @t115)) (exists (@list @t173 @t172) (and (= @t172 (tptp.vreduce @t173)) (tptp.visSomeTerm @t172) (= @t2 (tptp.vSucc @t173)) (= @t114 (tptp.vsomeTerm (tptp.vSucc (tptp.vgetTerm @t172)))))) (exists (@list @t170 @t171) (and (= @t171 (tptp.vreduce @t170)) (not (tptp.visSomeTerm @t171)) (= @t2 (tptp.vSucc @t170)) @t115)) (and (= @t2 @t79) (= @t114 @t78)) (exists @t32 (and (tptp.visNV @t30) (= @t2 @t111) (= @t114 (tptp.vsomeTerm @t30)))) (exists (@list @t168 @t167) (and (not (tptp.visNV @t168)) (= @t167 (tptp.vreduce @t169)) (tptp.visSomeTerm @t167) (= @t2 (tptp.vPred @t169)) (= @t114 (tptp.vsomeTerm (tptp.vPred (tptp.vgetTerm @t167)))))) (exists (@list @t164 @t166) (and (not (tptp.visNV @t164)) (= @t166 (tptp.vreduce @t165)) (not (tptp.visSomeTerm @t166)) (= @t2 (tptp.vPred @t165)) @t115)) (exists (@list @t162 @t161) (and (not (= @t162 tptp.vZero)) (forall (@list @t163) (not (= @t162 (tptp.vSucc @t163)))) (= @t161 (tptp.vreduce @t162)) (tptp.visSomeTerm @t161) (= @t2 (tptp.vPred @t162)) (= @t114 (tptp.vsomeTerm (tptp.vPred (tptp.vgetTerm @t161)))))) (exists (@list @t158 @t159) (and (not (= @t158 tptp.vZero)) (forall (@list @t160) (not (= @t158 (tptp.vSucc @t160)))) (= @t159 (tptp.vreduce @t158)) (not (tptp.visSomeTerm @t159)) (= @t2 (tptp.vPred @t158)) @t115)) (and (= @t2 @t96) (= @t114 @t95)) (exists (@list @t157) (and (tptp.visNV @t157) (= @t2 (tptp.vIszero (tptp.vSucc @t157))) (= @t114 @t97))) (exists (@list @t155 @t154) (and (not (tptp.visNV @t155)) (= @t154 (tptp.vreduce @t156)) (tptp.visSomeTerm @t154) (= @t2 (tptp.vIszero @t156)) (= @t114 (tptp.vsomeTerm (tptp.vIszero (tptp.vgetTerm @t154)))))) (exists (@list @t151 @t153) (and (not (tptp.visNV @t151)) (= @t153 (tptp.vreduce @t152)) (not (tptp.visSomeTerm @t153)) (= @t2 (tptp.vIszero @t152)) @t115)) (exists (@list @t149 @t148) (and (not (= @t149 tptp.vZero)) (forall (@list @t150) (not (= @t149 (tptp.vSucc @t150)))) (= @t148 (tptp.vreduce @t149)) (tptp.visSomeTerm @t148) (= @t2 (tptp.vIszero @t149)) (= @t114 (tptp.vsomeTerm (tptp.vIszero (tptp.vgetTerm @t148)))))) (exists (@list @t145 @t146) (and (not (= @t145 tptp.vZero)) (forall (@list @t147) (not (= @t145 (tptp.vSucc @t147)))) (= @t146 (tptp.vreduce @t145)) (not (tptp.visSomeTerm @t146)) (= @t2 (tptp.vIszero @t145)) @t115)) (exists (@list @t144 @t143) (and (tptp.visNV @t144) (tptp.visNV @t143) (= @t2 (tptp.vPlus @t144 @t143)) (= @t114 (tptp.vsomeTerm (tptp.vplusop @t144 @t143))))) (exists (@list @t141 @t142 @t140) (and (tptp.visNV @t141) (not (tptp.visNV @t142)) (= @t140 (tptp.vreduce @t142)) (tptp.visSomeTerm @t140) (= @t2 (tptp.vPlus @t141 @t142)) (= @t114 (tptp.vsomeTerm (tptp.vPlus @t141 (tptp.vgetTerm @t140)))))) (exists (@list @t138 @t137 @t139) (and (tptp.visNV @t138) (not (tptp.visNV @t137)) (= @t139 (tptp.vreduce @t137)) (not (tptp.visSomeTerm @t139)) (= @t2 (tptp.vPlus @t138 @t137)) @t115)) (exists (@list @t136 @t134 @t135) (and (not (tptp.visNV @t136)) (= @t135 (tptp.vreduce @t136)) (tptp.visSomeTerm @t135) (= @t2 (tptp.vPlus @t136 @t134)) (= @t114 (tptp.vsomeTerm (tptp.vPlus (tptp.vgetTerm @t135) @t134))))) (exists (@list @t132 @t131 @t133) (and (not (tptp.visNV @t132)) (= @t133 (tptp.vreduce @t132)) (not (tptp.visSomeTerm @t133)) (= @t2 (tptp.vPlus @t132 @t131)) @t115)) (exists (@list @t116) (and (forall (@list @t130 @t129) (not (= @t116 (tptp.vIfelse tptp.vTrue @t130 @t129)))) (forall (@list @t128 @t127) (not (= @t116 (tptp.vIfelse tptp.vFalse @t128 @t127)))) (forall (@list @t126 @t125 @t124) (not (= @t116 (tptp.vIfelse @t126 @t125 @t124)))) (forall (@list @t123) (not (= @t116 (tptp.vSucc @t123)))) (not (= @t116 @t79)) (forall (@list @t122) (not (= @t116 (tptp.vPred (tptp.vSucc @t122))))) (forall (@list @t121) (not (= @t116 (tptp.vPred @t121)))) (not (= @t116 @t96)) (forall (@list @t120) (not (= @t116 (tptp.vIszero (tptp.vSucc @t120))))) (forall (@list @t119) (not (= @t116 (tptp.vIszero @t119)))) (forall (@list @t118 @t117) (not (= @t116 (tptp.vPlus @t118 @t117)))) (= @t2 @t116) @t115))))) % 0.35/0.67 (assume @p84 (tptp.vptchecksimple tptp.vTrue tptp.vB)) % 0.35/0.67 (assume @p85 (tptp.vptchecksimple tptp.vFalse tptp.vB)) % 0.35/0.67 (assume @p86 (forall (@list @t39 @t51 @t188 @t52) (=> (and @t192 @t191 @t190) @t189))) % 0.35/0.67 (assume @p87 (forall @t193 (=> @t189 @t192))) % 0.35/0.67 (assume @p88 (forall @t193 (=> @t189 @t191))) % 0.35/0.67 (assume @p89 (forall @t193 (=> @t189 @t190))) % 0.35/0.67 (assume @p90 (tptp.vptchecksimple tptp.vZero tptp.vNat)) % 0.35/0.67 (assume @p91 (forall @t195 (=> (tptp.vptchecksimple tptp.vZero @t188) @t194))) % 0.35/0.67 (assume @p92 (forall @t43 (=> @t197 @t196))) % 0.35/0.67 (assume @p93 (forall @t198 (=> (tptp.vptchecksimple @t76 @t188) @t194))) % 0.35/0.67 (assume @p94 (forall @t43 (=> @t196 @t197))) % 0.35/0.67 (assume @p95 (forall @t43 (=> @t197 @t199))) % 0.35/0.67 (assume @p96 (forall @t43 (=> @t199 @t197))) % 0.35/0.67 (assume @p97 (forall @t198 (=> (tptp.vptchecksimple @t86 @t188) @t194))) % 0.35/0.67 (assume @p98 (forall @t43 (=> @t197 @t200))) % 0.35/0.67 (assume @p99 (forall @t43 (=> @t200 @t197))) % 0.35/0.67 (assume @p100 (forall @t198 (=> (tptp.vptchecksimple @t99 @t188) (= @t188 tptp.vB)))) % 0.35/0.67 (assume @p101 (forall @t104 (=> (and @t197 @t202) @t201))) % 0.35/0.67 (assume @p102 (forall (@list @t39 @t51 @t188) (=> (tptp.vptchecksimple @t101 @t188) @t194))) % 0.35/0.67 (assume @p103 (forall @t104 (=> @t201 @t197))) % 0.35/0.67 (assume @p104 (forall @t104 (=> @t201 @t202))) % 0.35/0.67 (assume @p105 (forall @t195 (=> (and (tptp.vptchecksimple tptp.vt1 @t188) (not (tptp.visValue tptp.vt1))) (not (= @t203 tptp.vnoTerm))))) % 0.35/0.67 (assume @p106 @t215) % 0.35/0.67 (assume @p107 @t219) % 0.35/0.67 (assume @p108 @t224) % 0.35/0.67 (assume @p109 true) % 0.35/0.67 (step @p110 :rule quant-miniscope-or :args ((= (forall @t195 @t231) (or @t230 @t229 @t207 @t228 @t226)))) % 0.35/0.67 (step @p111 :rule aci_norm :args ((= @t232 @t231))) % 0.35/0.67 (step @p112 :rule cong :premises (@p111) :args ((forall @t195 @t232))) % 0.35/0.67 (step @p113 :rule trans :premises (@p112 @p110)) % 0.35/0.67 (step @p114 :rule aci_norm :args ((= (or (or @t230 @t229 @t225 @t207) @t228) @t232))) % 0.35/0.67 (step @p115 :rule refl :args (@t228)) % 0.35/0.67 (step @p116 :rule bool-double-not-elim :args (@t207)) % 0.35/0.67 (step @p117 :rule refl :args (@t225)) % 0.35/0.67 (step @p118 :rule refl :args (@t229)) % 0.35/0.67 (step @p119 :rule bool-double-not-elim :args (@t230)) % 0.35/0.67 (step @p120 :rule nary_cong :premises (@p119 @p118 @p117 @p116) :args (@t236)) % 0.35/0.67 (step @p121 :rule aci_norm :args ((= (or @t235 (or @t229 @t237)) @t236))) % 0.35/0.67 (step @p122 :rule trans :premises (@p121 @p120)) % 0.35/0.67 (step @p123 :rule bool-and-de-morgan :args (@t209 @t208 true)) % 0.35/0.67 (step @p124 :rule nary_cong :premises (@p118 @p123) :args ((or @t229 @t238))) % 0.35/0.67 (step @p125 :rule bool-and-de-morgan :args (@t220 @t209 (and @t208))) % 0.35/0.67 (step @p126 :rule trans :premises (@p125 @p124)) % 0.35/0.67 (step @p127 :rule refl :args (@t235)) % 0.35/0.67 (step @p128 :rule nary_cong :premises (@p127 @p126) :args ((or @t235 (not (and @t220 @t209 @t208))))) % 0.35/0.67 (step @p129 :rule bool-and-de-morgan :args (@t234 @t220 (and @t209 @t208))) % 0.35/0.67 (step @p130 :rule trans :premises (@p129 @p128)) % 0.35/0.67 (step @p131 :rule trans :premises (@p130 @p122)) % 0.35/0.67 (step @p132 :rule nary_cong :premises (@p131 @p115) :args ((or (not @t239) @t228))) % 0.35/0.67 (step @p133 :rule trans :premises (@p132 @p114)) % 0.35/0.67 (step @p134 :rule bool-impl-elim :args (@t239 @t228)) % 0.35/0.67 (step @p135 :rule trans :premises (@p134 @p133)) % 0.35/0.67 (step @p136 :rule cong :premises (@p135) :args ((forall @t195 (=> @t239 @t228)))) % 0.35/0.67 (step @p137 :rule trans :premises (@p136 @p113)) % 0.35/0.67 (step @p138 :rule eq-symm :args (@t205 tptp.vnoTerm)) % 0.35/0.67 (step @p139 :rule cong :premises (@p138) :args (@t206)) % 0.35/0.67 (step @p140 :rule refl :args (@t208)) % 0.35/0.67 (step @p141 :rule refl :args (@t209)) % 0.35/0.67 (step @p142 :rule refl :args (@t220)) % 0.35/0.67 (step @p143 :rule eq-symm :args (tptp.vt1 tptp.vZero)) % 0.35/0.67 (step @p144 :rule cong :premises (@p143) :args (@t211)) % 0.35/0.67 (step @p145 :rule nary_cong :premises (@p144 @p142 @p141 @p140) :args (@t221)) % 0.35/0.67 (step @p146 :rule cong :premises (@p145 @p139) :args (@t222)) % 0.35/0.67 (step @p147 :rule cong :premises (@p146) :args (@t223)) % 0.35/0.67 (step @p148 :rule trans :premises (@p147 @p137)) % 0.35/0.67 (step @p149 :rule cong :premises (@p148) :args (@t224)) % 0.35/0.67 (step @p150 :rule eq_resolve :premises (@p108 @p149)) % 0.35/0.67 (step @p151 :rule not_or_elim :premises (@p150) :args (3)) % 0.35/0.67 (step @p152 :rule not_not_elim :premises (@p151)) % 0.35/0.67 (step @p153 :rule not_or_elim :premises (@p150) :args (2)) % 0.35/0.67 (step @p154 :rule not_or_elim :premises (@p150) :args (1)) % 0.35/0.67 (step @p155 :rule not_not_elim :premises (@p154)) % 0.35/0.67 (step @p156 :rule alpha_equiv :args (@t210 (@list @t88) (@list @t30))) % 0.35/0.67 (step @p157 :rule equiv_elim2 :premises (@p156)) % 0.35/0.67 (step @p158 :rule chain_m_resolution :premises (@p157 @p155) :args (@t210 (@list false) (@list @t220))) % 0.35/0.67 (step @p159 :rule not_or_elim :premises (@p150) :args (0)) % 0.35/0.67 (step @p160 :rule not_or_elim :premises (@p150) :args (4)) % 0.35/0.67 (step @p161 :rule quant-miniscope-or :args ((= (forall @t195 @t241) (or @t216 @t230 @t240 @t207 @t228 @t226)))) % 0.35/0.67 (step @p162 :rule aci_norm :args ((= @t242 @t241))) % 0.35/0.67 (step @p163 :rule cong :premises (@p162) :args ((forall @t195 @t242))) % 0.35/0.67 (step @p164 :rule trans :premises (@p163 @p161)) % 0.35/0.67 (step @p165 :rule aci_norm :args ((= (or (or @t216 @t230 @t240 @t225 @t207) @t228) @t242))) % 0.35/0.67 (step @p166 :rule refl :args (@t240)) % 0.35/0.67 (step @p167 :rule refl :args (@t216)) % 0.35/0.67 (step @p168 :rule nary_cong :premises (@p167 @p119 @p166 @p117 @p116) :args (@t243)) % 0.35/0.67 (step @p169 :rule aci_norm :args ((= (or @t216 @t244) @t243))) % 0.35/0.67 (step @p170 :rule trans :premises (@p169 @p168)) % 0.35/0.67 (step @p171 :rule nary_cong :premises (@p166 @p123) :args ((or @t240 @t238))) % 0.35/0.67 (step @p172 :rule bool-and-de-morgan :args (@t210 @t209 (and @t208))) % 0.35/0.67 (step @p173 :rule trans :premises (@p172 @p171)) % 0.35/0.67 (step @p174 :rule nary_cong :premises (@p127 @p173) :args ((or @t235 (not (and @t210 @t209 @t208))))) % 0.35/0.67 (step @p175 :rule bool-and-de-morgan :args (@t234 @t210 (and @t209 @t208))) % 0.35/0.67 (step @p176 :rule trans :premises (@p175 @p174)) % 0.35/0.67 (step @p177 :rule nary_cong :premises (@p167 @p176) :args ((or @t216 @t245))) % 0.35/0.67 (step @p178 :rule bool-and-de-morgan :args (@t212 @t234 (and @t210 @t209 @t208))) % 0.35/0.67 (step @p179 :rule trans :premises (@p178 @p177)) % 0.35/0.67 (step @p180 :rule trans :premises (@p179 @p170)) % 0.35/0.67 (step @p181 :rule nary_cong :premises (@p180 @p115) :args ((or (not @t246) @t228))) % 0.35/0.67 (step @p182 :rule trans :premises (@p181 @p165)) % 0.35/0.67 (step @p183 :rule bool-impl-elim :args (@t246 @t228)) % 0.35/0.67 (step @p184 :rule trans :premises (@p183 @p182)) % 0.35/0.67 (step @p185 :rule cong :premises (@p184) :args ((forall @t195 (=> @t246 @t228)))) % 0.35/0.67 (step @p186 :rule trans :premises (@p185 @p164)) % 0.35/0.67 (step @p187 :rule refl :args (@t210)) % 0.35/0.67 (step @p188 :rule refl :args (@t212)) % 0.35/0.67 (step @p189 :rule nary_cong :premises (@p188 @p144 @p187 @p141 @p140) :args (@t213)) % 0.35/0.67 (step @p190 :rule cong :premises (@p189 @p139) :args (@t214)) % 0.35/0.67 (step @p191 :rule cong :premises (@p190) :args (@t215)) % 0.35/0.67 (step @p192 :rule trans :premises (@p191 @p186)) % 0.35/0.67 (step @p193 :rule eq_resolve :premises (@p106 @p192)) % 0.35/0.67 (step @p194 :rule reordering :premises (@p193) :args ((or @t207 @t216 @t230 @t228 @t240 @t226))) % 0.35/0.67 (step @p195 :rule chain_m_resolution :premises (@p194 @p153 @p159 @p152 @p158 @p160) :args (@t216 (@list true true false false true) (@list @t207 @t230 @t227 @t210 @t226))) % 0.35/0.67 (step @p196 :rule quant-miniscope-or :args ((= (forall @t195 @t247) (or @t212 @t230 @t240 @t207 @t228 @t226)))) % 0.35/0.67 (step @p197 :rule aci_norm :args ((= @t248 @t247))) % 0.35/0.67 (step @p198 :rule cong :premises (@p197) :args ((forall @t195 @t248))) % 0.35/0.67 (step @p199 :rule trans :premises (@p198 @p196)) % 0.35/0.67 (step @p200 :rule aci_norm :args ((= (or (or @t212 @t230 @t240 @t225 @t207) @t228) @t248))) % 0.35/0.67 (step @p201 :rule bool-double-not-elim :args (@t212)) % 0.35/0.67 (step @p202 :rule nary_cong :premises (@p201 @p119 @p166 @p117 @p116) :args (@t250)) % 0.35/0.67 (step @p203 :rule aci_norm :args ((= (or @t249 @t244) @t250))) % 0.35/0.67 (step @p204 :rule trans :premises (@p203 @p202)) % 0.35/0.67 (step @p205 :rule refl :args (@t249)) % 0.35/0.67 (step @p206 :rule nary_cong :premises (@p205 @p176) :args ((or @t249 @t245))) % 0.35/0.67 (step @p207 :rule bool-and-de-morgan :args (@t216 @t234 (and @t210 @t209 @t208))) % 0.35/0.67 (step @p208 :rule trans :premises (@p207 @p206)) % 0.35/0.67 (step @p209 :rule trans :premises (@p208 @p204)) % 0.35/0.67 (step @p210 :rule nary_cong :premises (@p209 @p115) :args ((or (not @t251) @t228))) % 0.35/0.67 (step @p211 :rule trans :premises (@p210 @p200)) % 0.35/0.67 (step @p212 :rule bool-impl-elim :args (@t251 @t228)) % 0.35/0.67 (step @p213 :rule trans :premises (@p212 @p211)) % 0.35/0.67 (step @p214 :rule cong :premises (@p213) :args ((forall @t195 (=> @t251 @t228)))) % 0.35/0.67 (step @p215 :rule trans :premises (@p214 @p199)) % 0.35/0.67 (step @p216 :rule refl :args (@t216)) % 0.35/0.67 (step @p217 :rule nary_cong :premises (@p216 @p144 @p187 @p141 @p140) :args (@t217)) % 0.35/0.67 (step @p218 :rule cong :premises (@p217 @p139) :args (@t218)) % 0.35/0.67 (step @p219 :rule cong :premises (@p218) :args (@t219)) % 0.35/0.67 (step @p220 :rule trans :premises (@p219 @p215)) % 0.35/0.67 (step @p221 :rule eq_resolve :premises (@p107 @p220)) % 0.35/0.67 (step @p222 :rule reordering :premises (@p221) :args ((or @t212 @t207 @t230 @t228 @t240 @t226))) % 0.35/0.67 (step @p223 false :rule chain_m_resolution :premises (@p222 @p195 @p160 @p159 @p158 @p153 @p152) :args (false (@list true true true false true false) (@list @t212 @t226 @t230 @t210 @t207 @t227))) % 0.35/0.67 ) % 0.35/0.67 % SZS output end Proof % 0.35/0.67 % cvc5 exiting %------------------------------------------------------------------------------