%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : COM133+1 : TPTP v9.2.1. Released v6.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n010.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 08:10:34 AM UTC 2026 % Result : Theorem 0.52s 0.70s % Output : Proof 0.52s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : COM133+1 : TPTP v9.2.1. Released v6.4.0. % 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.34 % Computer : n010.cluster.edu % 0.18/0.34 % Model : x86_64 x86_64 % 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.34 % Memory : 8042.1875MB % 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.34 % CPULimit : 300 % 0.18/0.34 % WCLimit : 300 % 0.18/0.34 % DateTime : Mon Jun 1 20:30:25 EDT 2026 % 0.18/0.34 % CPUTime : % 0.31/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.52/0.70 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.52/0.70 % SZS status Theorem % 0.52/0.70 % SZS output start Proof % 0.52/0.70 ( % 0.52/0.70 (declare-sort $$unsorted 0) % 0.52/0.70 (declare-const tptp.veabs $$unsorted) % 0.52/0.70 (declare-const tptp.varrow (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.70 (declare-const tptp.vgetSomeExp (-> $$unsorted $$unsorted)) % 0.52/0.70 (declare-const tptp.vsomeExp (-> $$unsorted $$unsorted)) % 0.52/0.70 (declare-const tptp.vnoExp $$unsorted) % 0.52/0.70 (declare-const tptp.vsubst (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.52/0.70 (declare-const tptp.vgensym (-> $$unsorted $$unsorted)) % 0.52/0.70 (declare-const tptp.vapp (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.70 (declare-const tptp.visValue (-> $$unsorted Bool)) % 0.52/0.70 (declare-const tptp.vempty $$unsorted) % 0.52/0.70 (declare-const tptp.vbind (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.52/0.70 (declare-const tptp.vnoType $$unsorted) % 0.52/0.70 (declare-const tptp.visFreeVar (-> $$unsorted $$unsorted Bool)) % 0.52/0.70 (declare-const tptp.vtcheck (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.52/0.70 (declare-const tptp.vsomeType (-> $$unsorted $$unsorted)) % 0.52/0.70 (declare-const tptp.visSomeExp (-> $$unsorted Bool)) % 0.52/0.70 (declare-const tptp.vvar (-> $$unsorted $$unsorted)) % 0.52/0.70 (declare-const tptp.vlookup (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.70 (declare-const tptp.vabs (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.52/0.70 (declare-const tptp.visSomeType (-> $$unsorted Bool)) % 0.52/0.70 (declare-const tptp.vreduce (-> $$unsorted $$unsorted)) % 0.52/0.70 (declare-const tptp.vgetSomeType (-> $$unsorted $$unsorted)) % 0.52/0.70 (define @t1 () (@var "VVar1" $$unsorted)) % 0.52/0.70 (define @t2 () (@var "VVar0" $$unsorted)) % 0.52/0.70 (define @t3 () (tptp.vvar @t2)) % 0.52/0.70 (define @t4 () (= @t3 (tptp.vvar @t1))) % 0.52/0.70 (define @t5 () (= @t2 @t1)) % 0.52/0.70 (define @t6 () (@var "VExp1" $$unsorted)) % 0.52/0.70 (define @t7 () (@var "VTyp1" $$unsorted)) % 0.52/0.70 (define @t8 () (@var "VExp0" $$unsorted)) % 0.52/0.70 (define @t9 () (@var "VTyp0" $$unsorted)) % 0.52/0.70 (define @t10 () (tptp.vabs @t2 @t9 @t8)) % 0.52/0.70 (define @t11 () (= @t10 (tptp.vabs @t1 @t7 @t6))) % 0.52/0.70 (define @t12 () (= @t8 @t6)) % 0.52/0.70 (define @t13 () (= @t9 @t7)) % 0.52/0.70 (define @t14 () (and @t5 @t13 @t12)) % 0.52/0.70 (define @t15 () (@var "VExp3" $$unsorted)) % 0.52/0.70 (define @t16 () (@var "VExp2" $$unsorted)) % 0.52/0.70 (define @t17 () (tptp.vapp @t8 @t6)) % 0.52/0.70 (define @t18 () (= @t17 (tptp.vapp @t16 @t15))) % 0.52/0.70 (define @t19 () (and (= @t8 @t16) (= @t6 @t15))) % 0.52/0.70 (define @t20 () (tptp.visValue @t8)) % 0.52/0.70 (define @t21 () (@var "Ve" $$unsorted)) % 0.52/0.70 (define @t22 () (@var "VS" $$unsorted)) % 0.52/0.70 (define @t23 () (@var "Vx" $$unsorted)) % 0.52/0.70 (define @t24 () (tptp.vabs @t23 @t22 @t21)) % 0.52/0.70 (define @t25 () (= @t8 @t24)) % 0.52/0.70 (define @t26 () (not @t20)) % 0.52/0.70 (define @t27 () (tptp.vvar @t23)) % 0.52/0.70 (define @t28 () (= @t8 @t27)) % 0.52/0.70 (define @t29 () (@var "Ve2" $$unsorted)) % 0.52/0.70 (define @t30 () (@var "Ve1" $$unsorted)) % 0.52/0.70 (define @t31 () (tptp.vapp @t30 @t29)) % 0.52/0.70 (define @t32 () (= @t8 @t31)) % 0.52/0.70 (define @t33 () (@var "Vv" $$unsorted)) % 0.52/0.70 (define @t34 () (= @t23 @t33)) % 0.52/0.70 (define @t35 () (tptp.visFreeVar @t2 @t8)) % 0.52/0.70 (define @t36 () (= @t2 @t33)) % 0.52/0.70 (define @t37 () (tptp.visFreeVar @t33 @t21)) % 0.52/0.70 (define @t38 () (not @t34)) % 0.52/0.70 (define @t39 () (and @t38 @t37)) % 0.52/0.70 (define @t40 () (and (=> @t39 @t35) (=> @t35 @t39))) % 0.52/0.70 (define @t41 () (@var "VT" $$unsorted)) % 0.52/0.70 (define @t42 () (tptp.vabs @t23 @t41 @t21)) % 0.52/0.70 (define @t43 () (= @t8 @t42)) % 0.52/0.70 (define @t44 () (and @t36 @t43)) % 0.52/0.70 (define @t45 () (@list @t41 @t2 @t8 @t23 @t33 @t21)) % 0.52/0.70 (define @t46 () (forall @t45 (=> @t44 @t40))) % 0.52/0.70 (define @t47 () (or (tptp.visFreeVar @t33 @t30) (tptp.visFreeVar @t33 @t29))) % 0.52/0.70 (define @t48 () (= tptp.vempty tptp.vempty)) % 0.52/0.70 (define @t49 () (@var "VCtx1" $$unsorted)) % 0.52/0.70 (define @t50 () (@var "VCtx0" $$unsorted)) % 0.52/0.70 (define @t51 () (tptp.vbind @t2 @t9 @t50)) % 0.52/0.70 (define @t52 () (= @t51 (tptp.vbind @t1 @t7 @t49))) % 0.52/0.70 (define @t53 () (and @t5 @t13 (= @t50 @t49))) % 0.52/0.70 (define @t54 () (= tptp.vnoType tptp.vnoType)) % 0.52/0.70 (define @t55 () (tptp.vsomeType @t9)) % 0.52/0.70 (define @t56 () (= @t55 (tptp.vsomeType @t7))) % 0.52/0.70 (define @t57 () (@var "VOptTyp0" $$unsorted)) % 0.52/0.70 (define @t58 () (tptp.visSomeType @t57)) % 0.52/0.70 (define @t59 () (= @t57 (tptp.vsomeType @t21))) % 0.52/0.70 (define @t60 () (@var "RESULT" $$unsorted)) % 0.52/0.70 (define @t61 () (= @t60 @t21)) % 0.52/0.70 (define @t62 () (= @t60 tptp.vnoType)) % 0.52/0.70 (define @t63 () (tptp.vlookup @t2 @t50)) % 0.52/0.70 (define @t64 () (= @t60 @t63)) % 0.52/0.70 (define @t65 () (= @t50 tptp.vempty)) % 0.52/0.70 (define @t66 () (= @t2 @t23)) % 0.52/0.70 (define @t67 () (@var "VTy" $$unsorted)) % 0.52/0.70 (define @t68 () (= @t60 (tptp.vsomeType @t67))) % 0.52/0.70 (define @t69 () (@var "Vy" $$unsorted)) % 0.52/0.70 (define @t70 () (= @t23 @t69)) % 0.52/0.70 (define @t71 () (@var "VC" $$unsorted)) % 0.52/0.70 (define @t72 () (tptp.vbind @t69 @t67 @t71)) % 0.52/0.70 (define @t73 () (= @t50 @t72)) % 0.52/0.70 (define @t74 () (and @t66 @t73)) % 0.52/0.70 (define @t75 () (tptp.vlookup @t23 @t71)) % 0.52/0.70 (define @t76 () (= @t60 @t75)) % 0.52/0.70 (define @t77 () (not @t70)) % 0.52/0.70 (define @t78 () (@list @t23)) % 0.52/0.70 (define @t79 () (@var "VTx" $$unsorted)) % 0.52/0.70 (define @t80 () (tptp.vbind @t23 @t79 @t71)) % 0.52/0.70 (define @t81 () (tptp.vtcheck (tptp.vbind @t23 @t79 @t72) @t21 @t41)) % 0.52/0.70 (define @t82 () (@list @t69 @t67 @t23 @t79 @t71 @t21 @t41)) % 0.52/0.70 (define @t83 () (not @t37)) % 0.52/0.70 (define @t84 () (tptp.vsubst @t2 @t8 @t6)) % 0.52/0.70 (define @t85 () (= @t60 @t84)) % 0.52/0.70 (define @t86 () (tptp.vvar @t69)) % 0.52/0.70 (define @t87 () (= @t6 @t86)) % 0.52/0.70 (define @t88 () (= @t8 @t21)) % 0.52/0.70 (define @t89 () (and @t66 @t88 @t87)) % 0.52/0.70 (define @t90 () (= @t60 @t86)) % 0.52/0.70 (define @t91 () (tptp.vsubst @t23 @t21 @t30)) % 0.52/0.70 (define @t92 () (= @t60 (tptp.vapp @t91 (tptp.vsubst @t23 @t21 @t29)))) % 0.52/0.70 (define @t93 () (= @t6 @t31)) % 0.52/0.70 (define @t94 () (tptp.vabs @t69 @t41 @t30)) % 0.52/0.70 (define @t95 () (= @t60 @t94)) % 0.52/0.70 (define @t96 () (=> @t85 @t95)) % 0.52/0.70 (define @t97 () (=> @t70 @t96)) % 0.52/0.70 (define @t98 () (= @t6 @t94)) % 0.52/0.70 (define @t99 () (and @t66 @t88 @t98)) % 0.52/0.70 (define @t100 () (@list @t21 @t23 @t2 @t8 @t6 @t60 @t69 @t41 @t30)) % 0.52/0.70 (define @t101 () (forall @t100 (=> @t99 @t97))) % 0.52/0.70 (define @t102 () (@var "Vfresh" $$unsorted)) % 0.52/0.70 (define @t103 () (= @t60 (tptp.vsubst @t23 @t21 (tptp.vabs @t102 @t41 (tptp.vsubst @t69 (tptp.vvar @t102) @t30))))) % 0.52/0.70 (define @t104 () (= @t102 (tptp.vgensym (tptp.vapp (tptp.vapp @t21 @t30) @t27)))) % 0.52/0.70 (define @t105 () (tptp.visFreeVar @t69 @t21)) % 0.52/0.70 (define @t106 () (= @t60 (tptp.vabs @t69 @t41 @t91))) % 0.52/0.70 (define @t107 () (not @t105)) % 0.52/0.70 (define @t108 () (= tptp.vnoExp tptp.vnoExp)) % 0.52/0.70 (define @t109 () (tptp.vsomeExp @t8)) % 0.52/0.70 (define @t110 () (= @t109 (tptp.vsomeExp @t6))) % 0.52/0.70 (define @t111 () (@list @t8)) % 0.52/0.70 (define @t112 () (@var "VOptExp0" $$unsorted)) % 0.52/0.70 (define @t113 () (tptp.visSomeExp @t112)) % 0.52/0.70 (define @t114 () (= @t112 (tptp.vsomeExp @t21))) % 0.52/0.70 (define @t115 () (= @t60 tptp.vnoExp)) % 0.52/0.70 (define @t116 () (tptp.vreduce @t8)) % 0.52/0.70 (define @t117 () (= @t60 @t116)) % 0.52/0.70 (define @t118 () (=> @t117 @t115)) % 0.52/0.70 (define @t119 () (@var "Ve2red" $$unsorted)) % 0.52/0.70 (define @t120 () (tptp.vabs @t23 @t22 @t30)) % 0.52/0.70 (define @t121 () (= @t60 (tptp.vsomeExp (tptp.vapp @t120 (tptp.vgetSomeExp @t119))))) % 0.52/0.70 (define @t122 () (tptp.visSomeExp @t119)) % 0.52/0.70 (define @t123 () (= @t119 (tptp.vreduce @t29))) % 0.52/0.70 (define @t124 () (= @t8 (tptp.vapp @t120 @t29))) % 0.52/0.70 (define @t125 () (= @t60 (tptp.vsomeExp (tptp.vsubst @t23 @t29 @t30)))) % 0.52/0.70 (define @t126 () (tptp.visValue @t29)) % 0.52/0.70 (define @t127 () (not @t122)) % 0.52/0.70 (define @t128 () (not @t126)) % 0.52/0.70 (define @t129 () (@var "Ve1red" $$unsorted)) % 0.52/0.70 (define @t130 () (= @t60 (tptp.vsomeExp (tptp.vapp (tptp.vgetSomeExp @t129) @t29)))) % 0.52/0.70 (define @t131 () (tptp.visSomeExp @t129)) % 0.52/0.70 (define @t132 () (= @t129 (tptp.vreduce @t30))) % 0.52/0.70 (define @t133 () (@var "VVe10" $$unsorted)) % 0.52/0.70 (define @t134 () (@var "VVS0" $$unsorted)) % 0.52/0.70 (define @t135 () (@var "VVx0" $$unsorted)) % 0.52/0.70 (define @t136 () (forall (@list @t135 @t134 @t133) (not (= @t30 (tptp.vabs @t135 @t134 @t133))))) % 0.52/0.70 (define @t137 () (and @t32 @t136)) % 0.52/0.70 (define @t138 () (not @t131)) % 0.52/0.70 (define @t139 () (@var "VTyp3" $$unsorted)) % 0.52/0.70 (define @t140 () (@var "VTyp2" $$unsorted)) % 0.52/0.70 (define @t141 () (= (tptp.varrow @t9 @t7) (tptp.varrow @t140 @t139))) % 0.52/0.70 (define @t142 () (and (= @t9 @t140) (= @t7 @t139))) % 0.52/0.70 (define @t143 () (= @t75 (tptp.vsomeType @t41))) % 0.52/0.70 (define @t144 () (tptp.varrow @t22 @t41)) % 0.52/0.70 (define @t145 () (tptp.vtcheck (tptp.vbind @t23 @t22 @t71) @t21 @t41)) % 0.52/0.70 (define @t146 () (tptp.vtcheck @t71 @t29 @t22)) % 0.52/0.70 (define @t147 () (tptp.vtcheck @t71 @t30 @t144)) % 0.52/0.70 (define @t148 () (@var "VT2" $$unsorted)) % 0.52/0.70 (define @t149 () (@var "VT1" $$unsorted)) % 0.52/0.70 (define @t150 () (tptp.vtcheck @t71 @t21 @t41)) % 0.52/0.70 (define @t151 () (@list @t23 @t22 @t71 @t21 @t41)) % 0.52/0.70 (define @t152 () (tptp.visFreeVar @t23 @t21)) % 0.52/0.70 (define @t153 () (not @t152)) % 0.52/0.70 (define @t154 () (and @t153 @t145)) % 0.52/0.70 (define @t155 () (forall @t151 (=> @t154 @t150))) % 0.52/0.70 (define @t156 () (tptp.vbind @t23 @t41 @t71)) % 0.52/0.70 (define @t157 () (tptp.vabs @t69 @t22 @t30)) % 0.52/0.71 (define @t158 () (tptp.vabs @t69 @t22 tptp.veabs)) % 0.52/0.71 (define @t159 () (tptp.vtcheck @t71 (tptp.vsubst @t23 @t21 @t158) @t148)) % 0.52/0.71 (define @t160 () (tptp.vtcheck @t156 @t158 @t148)) % 0.52/0.71 (define @t161 () (and @t77 @t107 @t150 @t160)) % 0.52/0.71 (define @t162 () (@list @t41 @t71 @t23 @t21 @t69 @t22 @t148)) % 0.52/0.71 (define @t163 () (forall @t162 (=> @t161 @t159))) % 0.52/0.71 (define @t164 () (and @t77 @t105 @t150 @t160)) % 0.52/0.71 (define @t165 () (forall @t162 (=> @t164 @t159))) % 0.52/0.71 (define @t166 () (and @t150 @t160)) % 0.52/0.71 (define @t167 () (forall @t162 (=> @t166 @t159))) % 0.52/0.71 (define @t168 () (not @t167)) % 0.52/0.71 (define @t169 () (not @t160)) % 0.52/0.71 (define @t170 () (not @t150)) % 0.52/0.71 (define @t171 () (or @t170 @t169 @t159)) % 0.52/0.71 (define @t172 () (or @t170 @t169)) % 0.52/0.71 (define @t173 () (not @t166)) % 0.52/0.71 (define @t174 () (forall @t162 @t171)) % 0.52/0.71 (define @t175 () (@quantifiers_skolemize @t174 6)) % 0.52/0.71 (define @t176 () (@quantifiers_skolemize @t174 5)) % 0.52/0.71 (define @t177 () (@quantifiers_skolemize @t174 4)) % 0.52/0.71 (define @t178 () (tptp.vabs @t177 @t176 tptp.veabs)) % 0.52/0.71 (define @t179 () (@quantifiers_skolemize @t174 3)) % 0.52/0.71 (define @t180 () (@quantifiers_skolemize @t174 2)) % 0.52/0.71 (define @t181 () (@quantifiers_skolemize @t174 1)) % 0.52/0.71 (define @t182 () (tptp.vtcheck @t181 (tptp.vsubst @t180 @t179 @t178) @t175)) % 0.52/0.71 (define @t183 () (@quantifiers_skolemize @t174 0)) % 0.52/0.71 (define @t184 () (tptp.vtcheck (tptp.vbind @t180 @t183 @t181) @t178 @t175)) % 0.52/0.71 (define @t185 () (not @t184)) % 0.52/0.71 (define @t186 () (tptp.vtcheck @t181 @t179 @t183)) % 0.52/0.71 (define @t187 () (not @t186)) % 0.52/0.71 (define @t188 () (or @t187 @t185 @t182)) % 0.52/0.71 (define @t189 () (@list true)) % 0.52/0.71 (define @t190 () (@list @t188)) % 0.52/0.71 (define @t191 () (not @t107)) % 0.52/0.71 (define @t192 () (not @t77)) % 0.52/0.71 (define @t193 () (or @t192 @t191 @t170 @t169)) % 0.52/0.71 (define @t194 () (@list @t183 @t181 @t180 @t179 @t177 @t176 @t175)) % 0.52/0.71 (define @t195 () (tptp.visFreeVar @t177 @t179)) % 0.52/0.71 (define @t196 () (= @t180 @t177)) % 0.52/0.71 (define @t197 () (or @t196 @t195 @t187 @t185 @t182)) % 0.52/0.71 (define @t198 () (or @t192 @t107 @t170 @t169)) % 0.52/0.71 (define @t199 () (not @t195)) % 0.52/0.71 (define @t200 () (or @t196 @t199 @t187 @t185 @t182)) % 0.52/0.71 (define @t201 () (tptp.vabs @t180 @t176 tptp.veabs)) % 0.52/0.71 (define @t202 () (tptp.vsubst @t180 @t179 @t201)) % 0.52/0.71 (define @t203 () (tptp.vsubst @t69 @t21 @t94)) % 0.52/0.71 (define @t204 () (= @t94 @t203)) % 0.52/0.71 (define @t205 () (not (= @t203 @t203))) % 0.52/0.71 (define @t206 () (or @t205 (= @t203 @t94))) % 0.52/0.71 (define @t207 () (@list @t21 @t69 @t41 @t30)) % 0.52/0.71 (define @t208 () (not (= @t60 @t203))) % 0.52/0.71 (define @t209 () (or @t208 @t208 @t95)) % 0.52/0.71 (define @t210 () (@list @t60)) % 0.52/0.71 (define @t211 () (or @t208 @t95)) % 0.52/0.71 (define @t212 () (forall @t210 @t211)) % 0.52/0.71 (define @t213 () (forall @t207 @t212)) % 0.52/0.71 (define @t214 () (forall (@list @t21 @t69 @t41 @t30 @t60) @t211)) % 0.52/0.71 (define @t215 () (@list @t21 @t60 @t69 @t41 @t30)) % 0.52/0.71 (define @t216 () (not (= @t69 @t69))) % 0.52/0.71 (define @t217 () (or @t216 @t208 @t95)) % 0.52/0.71 (define @t218 () (not (= @t60 (tptp.vsubst @t23 @t21 @t94)))) % 0.52/0.71 (define @t219 () (or @t77 @t77 @t218 @t95)) % 0.52/0.71 (define @t220 () (or @t77 @t218 @t95)) % 0.52/0.71 (define @t221 () (forall @t78 @t220)) % 0.52/0.71 (define @t222 () (forall @t215 @t221)) % 0.52/0.71 (define @t223 () (forall (@list @t21 @t60 @t69 @t41 @t30 @t23) @t220)) % 0.52/0.71 (define @t224 () (@list @t21 @t23 @t60 @t69 @t41 @t30)) % 0.52/0.71 (define @t225 () (not (= @t94 @t94))) % 0.52/0.71 (define @t226 () (or @t225 @t77 @t218 @t95)) % 0.52/0.71 (define @t227 () (not (= @t60 (tptp.vsubst @t23 @t21 @t6)))) % 0.52/0.71 (define @t228 () (not @t98)) % 0.52/0.71 (define @t229 () (or @t228 @t228 @t77 @t227 @t95)) % 0.52/0.71 (define @t230 () (@list @t6)) % 0.52/0.71 (define @t231 () (or @t228 @t77 @t227 @t95)) % 0.52/0.71 (define @t232 () (forall @t230 @t231)) % 0.52/0.71 (define @t233 () (forall @t224 @t232)) % 0.52/0.71 (define @t234 () (forall (@list @t21 @t23 @t60 @t69 @t41 @t30 @t6) @t231)) % 0.52/0.71 (define @t235 () (@list @t21 @t23 @t6 @t60 @t69 @t41 @t30)) % 0.52/0.71 (define @t236 () (not (= @t21 @t21))) % 0.52/0.71 (define @t237 () (or @t236 @t228 @t77 @t227 @t95)) % 0.52/0.71 (define @t238 () (not (= @t60 (tptp.vsubst @t23 @t8 @t6)))) % 0.52/0.71 (define @t239 () (not @t88)) % 0.52/0.71 (define @t240 () (or @t239 @t239 @t228 @t77 @t238 @t95)) % 0.52/0.71 (define @t241 () (or @t239 @t228 @t77 @t238 @t95)) % 0.52/0.71 (define @t242 () (forall @t111 @t241)) % 0.52/0.71 (define @t243 () (forall @t235 @t242)) % 0.52/0.71 (define @t244 () (forall (@list @t21 @t23 @t6 @t60 @t69 @t41 @t30 @t8) @t241)) % 0.52/0.71 (define @t245 () (@list @t21 @t23 @t8 @t6 @t60 @t69 @t41 @t30)) % 0.52/0.71 (define @t246 () (not (= @t23 @t23))) % 0.52/0.71 (define @t247 () (or @t246 @t239 @t228 @t77 @t238 @t95)) % 0.52/0.71 (define @t248 () (not @t85)) % 0.52/0.71 (define @t249 () (not @t66)) % 0.52/0.71 (define @t250 () (or @t249 @t249 @t239 @t228 @t77 @t248 @t95)) % 0.52/0.71 (define @t251 () (@list @t2)) % 0.52/0.71 (define @t252 () (or @t249 @t239 @t228 @t77 @t248 @t95)) % 0.52/0.71 (define @t253 () (forall @t251 @t252)) % 0.52/0.71 (define @t254 () (forall @t245 @t253)) % 0.52/0.71 (define @t255 () (forall (@list @t21 @t23 @t8 @t6 @t60 @t69 @t41 @t30 @t2) @t252)) % 0.52/0.71 (define @t256 () (or @t77 @t248 @t95)) % 0.52/0.71 (define @t257 () (or @t249 @t239 @t228)) % 0.52/0.71 (define @t258 () (tptp.vtcheck @t181 @t178 @t175)) % 0.52/0.71 (define @t259 () (not @t145)) % 0.52/0.71 (define @t260 () (@var "BOUND_VARIABLE_8373" $$unsorted)) % 0.52/0.71 (define @t261 () (@var "BOUND_VARIABLE_8367" $$unsorted)) % 0.52/0.71 (define @t262 () (@var "BOUND_VARIABLE_8369" $$unsorted)) % 0.52/0.71 (define @t263 () (@var "BOUND_VARIABLE_8371" $$unsorted)) % 0.52/0.71 (define @t264 () (forall (@list @t261 @t262 @t263 @t260) (or (tptp.visFreeVar @t263 @t260) (not (tptp.visFreeVar @t263 (tptp.vabs @t262 @t261 @t260)))))) % 0.52/0.71 (define @t265 () (@var "BOUND_VARIABLE_8357" $$unsorted)) % 0.52/0.71 (define @t266 () (@var "BOUND_VARIABLE_8351" $$unsorted)) % 0.52/0.71 (define @t267 () (@var "BOUND_VARIABLE_8355" $$unsorted)) % 0.52/0.71 (define @t268 () (not (tptp.visFreeVar @t267 (tptp.vabs @t267 @t266 @t265)))) % 0.52/0.71 (define @t269 () (@list @t266 @t267 @t265)) % 0.52/0.71 (define @t270 () (forall @t269 @t268)) % 0.52/0.71 (define @t271 () (@var "BOUND_VARIABLE_8316" $$unsorted)) % 0.52/0.71 (define @t272 () (@var "BOUND_VARIABLE_8310" $$unsorted)) % 0.52/0.71 (define @t273 () (@var "BOUND_VARIABLE_8312" $$unsorted)) % 0.52/0.71 (define @t274 () (@var "BOUND_VARIABLE_8314" $$unsorted)) % 0.52/0.71 (define @t275 () (forall (@list @t272 @t273 @t274 @t271) (or (= @t273 @t274) (not (tptp.visFreeVar @t274 @t271)) (tptp.visFreeVar @t274 (tptp.vabs @t273 @t272 @t271))))) % 0.52/0.71 (define @t276 () (not (= @t267 @t267))) % 0.52/0.71 (define @t277 () (or @t276 @t268)) % 0.52/0.71 (define @t278 () (@var "BOUND_VARIABLE_8353" $$unsorted)) % 0.52/0.71 (define @t279 () (not (tptp.visFreeVar @t267 (tptp.vabs @t278 @t266 @t265)))) % 0.52/0.71 (define @t280 () (not (= @t278 @t267))) % 0.52/0.71 (define @t281 () (or @t280 @t280 @t279)) % 0.52/0.71 (define @t282 () (@list @t278)) % 0.52/0.71 (define @t283 () (or @t280 @t279)) % 0.52/0.71 (define @t284 () (forall @t282 @t283)) % 0.52/0.71 (define @t285 () (forall @t269 @t284)) % 0.52/0.71 (define @t286 () (forall (@list @t266 @t267 @t265 @t278) @t283)) % 0.52/0.71 (define @t287 () (forall (@list @t266 @t278 @t267 @t265) @t283)) % 0.52/0.71 (define @t288 () (@var "BOUND_VARIABLE_8332" $$unsorted)) % 0.52/0.71 (define @t289 () (@var "BOUND_VARIABLE_8326" $$unsorted)) % 0.52/0.71 (define @t290 () (@var "BOUND_VARIABLE_8328" $$unsorted)) % 0.52/0.71 (define @t291 () (@var "BOUND_VARIABLE_8330" $$unsorted)) % 0.52/0.71 (define @t292 () (not (tptp.visFreeVar @t291 (tptp.vabs @t290 @t289 @t288)))) % 0.52/0.71 (define @t293 () (tptp.visFreeVar @t291 @t288)) % 0.52/0.71 (define @t294 () (or @t293 @t292)) % 0.52/0.71 (define @t295 () (@list @t289 @t290 @t291 @t288)) % 0.52/0.71 (define @t296 () (forall @t295 @t294)) % 0.52/0.71 (define @t297 () (@list @t289 @t290 @t291 @t288)) % 0.52/0.71 (define @t298 () (not (= @t290 @t291))) % 0.52/0.71 (define @t299 () (or @t298 @t292)) % 0.52/0.71 (define @t300 () (forall @t295 @t299)) % 0.52/0.71 (define @t301 () (and @t300 @t296)) % 0.52/0.71 (define @t302 () (and @t298 @t293)) % 0.52/0.71 (define @t303 () (or @t302 @t292)) % 0.52/0.71 (define @t304 () (or @t292 @t302)) % 0.52/0.71 (define @t305 () (forall @t295 @t304)) % 0.52/0.71 (define @t306 () (tptp.visFreeVar @t33 @t42)) % 0.52/0.71 (define @t307 () (or (not @t306) @t39)) % 0.52/0.71 (define @t308 () (@list @t41 @t23 @t33 @t21)) % 0.52/0.71 (define @t309 () (forall @t308 @t307)) % 0.52/0.71 (define @t310 () (@list @t41 @t23 @t33 @t21)) % 0.52/0.71 (define @t311 () (or @t34 @t83 @t306)) % 0.52/0.71 (define @t312 () (forall @t308 @t311)) % 0.52/0.71 (define @t313 () (and @t312 @t309)) % 0.52/0.71 (define @t314 () (and @t311 @t307)) % 0.52/0.71 (define @t315 () (not (= @t42 @t42))) % 0.52/0.71 (define @t316 () (or @t315 @t314)) % 0.52/0.71 (define @t317 () (tptp.visFreeVar @t33 @t8)) % 0.52/0.71 (define @t318 () (and (or @t34 @t83 @t317) (or (not @t317) @t39))) % 0.52/0.71 (define @t319 () (not @t43)) % 0.52/0.71 (define @t320 () (or @t319 @t319 @t318)) % 0.52/0.71 (define @t321 () (or @t319 @t318)) % 0.52/0.71 (define @t322 () (forall @t111 @t321)) % 0.52/0.71 (define @t323 () (forall @t308 @t322)) % 0.52/0.71 (define @t324 () (forall (@list @t41 @t23 @t33 @t21 @t8) @t321)) % 0.52/0.71 (define @t325 () (@list @t41 @t8 @t23 @t33 @t21)) % 0.52/0.71 (define @t326 () (not (= @t33 @t33))) % 0.52/0.71 (define @t327 () (or @t326 @t319 @t318)) % 0.52/0.71 (define @t328 () (or @t34 @t83 @t35)) % 0.52/0.71 (define @t329 () (and @t328 (or (not @t35) @t39))) % 0.52/0.71 (define @t330 () (not @t36)) % 0.52/0.71 (define @t331 () (or @t330 @t330 @t319 @t329)) % 0.52/0.71 (define @t332 () (or @t330 @t319 @t329)) % 0.52/0.71 (define @t333 () (forall @t251 @t332)) % 0.52/0.71 (define @t334 () (forall @t325 @t333)) % 0.52/0.71 (define @t335 () (forall (@list @t41 @t8 @t23 @t33 @t21 @t2) @t332)) % 0.52/0.71 (define @t336 () (tptp.visFreeVar @t180 @t178)) % 0.52/0.71 (define @t337 () (or @t336 @t185 @t258)) % 0.52/0.71 (assume @p1 (forall (@list @t2 @t1) (and (=> @t4 @t5) (=> @t5 @t4)))) % 0.52/0.71 (assume @p2 (forall (@list @t2 @t9 @t8 @t1 @t7 @t6) (and (=> @t11 @t14) (=> @t14 @t11)))) % 0.52/0.71 (assume @p3 (forall (@list @t8 @t6 @t16 @t15) (and (=> @t18 @t19) (=> @t19 @t18)))) % 0.52/0.71 (assume @p4 (forall (@list @t2 @t1 @t9 @t8) (not (= @t3 (tptp.vabs @t1 @t9 @t8))))) % 0.52/0.71 (assume @p5 (forall (@list @t2 @t8 @t6) (not (= @t3 @t17)))) % 0.52/0.71 (assume @p6 (forall (@list @t2 @t9 @t8 @t6 @t16) (not (= @t10 (tptp.vapp @t6 @t16))))) % 0.52/0.71 (assume @p7 (forall (@list @t23 @t22 @t21 @t8) (=> @t25 @t20))) % 0.52/0.71 (assume @p8 (forall (@list @t23 @t8) (=> @t28 @t26))) % 0.52/0.71 (assume @p9 (forall (@list @t30 @t29 @t8) (=> @t32 @t26))) % 0.52/0.71 (assume @p10 (forall (@list @t2 @t8 @t23 @t33) (=> (and @t36 @t28) (and (=> @t34 @t35) (=> @t35 @t34))))) % 0.52/0.71 (assume @p11 @t46) % 0.52/0.71 (assume @p12 (forall (@list @t2 @t8 @t30 @t33 @t29) (=> (and @t36 @t32) (and (=> @t47 @t35) (=> @t35 @t47))))) % 0.52/0.71 (assume @p13 (and (=> @t48 true) (=> true @t48))) % 0.52/0.71 (assume @p14 (forall (@list @t2 @t9 @t50 @t1 @t7 @t49) (and (=> @t52 @t53) (=> @t53 @t52)))) % 0.52/0.71 (assume @p15 (and (=> @t54 true) (=> true @t54))) % 0.52/0.71 (assume @p16 (forall (@list @t9 @t7) (and (=> @t56 @t13) (=> @t13 @t56)))) % 0.52/0.71 (assume @p17 (forall (@list @t2 @t9 @t50) (not (= tptp.vempty @t51)))) % 0.52/0.71 (assume @p18 (forall (@list @t9) (not (= tptp.vnoType @t55)))) % 0.52/0.71 (assume @p19 (forall (@list @t57) (=> (= @t57 tptp.vnoType) (not @t58)))) % 0.52/0.71 (assume @p20 (forall (@list @t21 @t57) (=> @t59 @t58))) % 0.52/0.71 (assume @p21 (forall (@list @t57 @t60 @t21) (=> @t59 (=> (= @t60 (tptp.vgetSomeType @t57)) @t61)))) % 0.52/0.71 (assume @p22 (forall (@list @t23 @t2 @t50 @t60) (=> (and @t66 @t65) (=> @t64 @t62)))) % 0.52/0.71 (assume @p23 (forall (@list @t71 @t23 @t69 @t2 @t50 @t60 @t67) (=> @t74 (=> @t70 (=> @t64 @t68))))) % 0.52/0.71 (assume @p24 (forall (@list @t67 @t69 @t2 @t50 @t60 @t23 @t71) (=> @t74 (=> @t77 (=> @t64 @t76))))) % 0.52/0.71 (assume @p25 (forall (@list @t2 @t50 @t60) (=> (= @t63 @t60) (or (exists @t78 (and @t66 @t65 @t62)) (exists (@list @t71 @t23 @t69 @t67) (and @t66 @t73 @t70 @t68)) (exists (@list @t67 @t69 @t23 @t71) (and @t66 @t73 @t77 @t76)))))) % 0.52/0.71 (assume @p26 (forall @t82 (=> (and @t70 @t81) (tptp.vtcheck @t80 @t21 @t41)))) % 0.52/0.71 (assume @p27 (forall @t82 (=> (and @t77 @t81) (tptp.vtcheck (tptp.vbind @t69 @t67 @t80) @t21 @t41)))) % 0.52/0.71 (assume @p28 (forall (@list @t33 @t21) (=> (= (tptp.vgensym @t21) @t33) @t83))) % 0.52/0.71 (assume @p29 (forall (@list @t23 @t69 @t2 @t8 @t6 @t60 @t21) (=> @t89 (=> @t70 (=> @t85 @t61))))) % 0.52/0.71 (assume @p30 (forall (@list @t21 @t23 @t2 @t8 @t6 @t60 @t69) (=> @t89 (=> @t77 (=> @t85 @t90))))) % 0.52/0.71 (assume @p31 (forall (@list @t2 @t8 @t6 @t60 @t30 @t23 @t21 @t29) (=> (and @t66 @t88 @t93) (=> @t85 @t92)))) % 0.52/0.71 (assume @p32 @t101) % 0.52/0.71 (assume @p33 (forall (@list @t2 @t8 @t6 @t60 @t23 @t21 @t41 @t69 @t102 @t30) (=> @t99 (=> (and @t77 @t105 @t104) (=> @t85 @t103))))) % 0.52/0.71 (assume @p34 (forall (@list @t2 @t8 @t6 @t60 @t69 @t41 @t23 @t21 @t30) (=> @t99 (=> (and @t77 @t107) (=> @t85 @t106))))) % 0.52/0.71 (assume @p35 (forall (@list @t2 @t8 @t6 @t60) (=> (= @t84 @t60) (or (exists (@list @t23 @t69 @t21) (and @t66 @t88 @t87 @t70 @t61)) (exists (@list @t21 @t23 @t69) (and @t66 @t88 @t87 @t77 @t90)) (exists (@list @t30 @t23 @t21 @t29) (and @t66 @t88 @t93 @t92)) (exists (@list @t21 @t23 @t69 @t41 @t30) (and @t66 @t88 @t98 @t70 @t95)) (exists (@list @t23 @t21 @t41 @t69 @t102 @t30) (and @t66 @t88 @t98 @t77 @t105 @t104 @t103)) (exists (@list @t69 @t41 @t23 @t21 @t30) (and @t66 @t88 @t98 @t77 @t107 @t106)))))) % 0.52/0.71 (assume @p36 (and (=> @t108 true) (=> true @t108))) % 0.52/0.71 (assume @p37 (forall (@list @t8 @t6) (and (=> @t110 @t12) (=> @t12 @t110)))) % 0.52/0.71 (assume @p38 (forall @t111 (not (= tptp.vnoExp @t109)))) % 0.52/0.71 (assume @p39 (forall (@list @t112) (=> (= @t112 tptp.vnoExp) (not @t113)))) % 0.52/0.71 (assume @p40 (forall (@list @t21 @t112) (=> @t114 @t113))) % 0.52/0.71 (assume @p41 (forall (@list @t112 @t60 @t21) (=> @t114 (=> (= @t60 (tptp.vgetSomeExp @t112)) @t61)))) % 0.52/0.71 (assume @p42 (forall (@list @t23 @t8 @t60) (=> @t28 @t118))) % 0.52/0.71 (assume @p43 (forall (@list @t23 @t22 @t21 @t8 @t60) (=> @t25 @t118))) % 0.52/0.71 (assume @p44 (forall (@list @t29 @t8 @t60 @t23 @t22 @t30 @t119) (=> @t124 (=> (and @t123 @t122) (=> @t117 @t121))))) % 0.52/0.71 (assume @p45 (forall (@list @t22 @t119 @t8 @t60 @t23 @t29 @t30) (=> @t124 (=> (and @t123 @t127 @t126) (=> @t117 @t125))))) % 0.52/0.71 (assume @p46 (forall (@list @t23 @t22 @t30 @t119 @t29 @t8 @t60) (=> @t124 (=> (and @t123 @t127 @t128) @t118)))) % 0.52/0.71 (assume @p47 (forall (@list @t30 @t8 @t60 @t129 @t29) (=> @t137 (=> (and @t132 @t131) (=> @t117 @t130))))) % 0.52/0.71 (assume @p48 (forall (@list @t29 @t30 @t129 @t8 @t60) (=> @t137 (=> (and @t132 @t138) @t118)))) % 0.52/0.71 (assume @p49 (forall (@list @t8 @t60) (=> (= @t116 @t60) (or (exists @t78 (and @t28 @t115)) (exists (@list @t23 @t22 @t21) (and @t25 @t115)) (exists (@list @t29 @t23 @t22 @t30 @t119) (and @t124 @t123 @t122 @t121)) (exists (@list @t22 @t119 @t23 @t29 @t30) (and @t124 @t123 @t127 @t126 @t125)) (exists (@list @t23 @t22 @t30 @t119 @t29) (and @t124 @t123 @t127 @t128 @t115)) (exists (@list @t30 @t129 @t29) (and @t32 @t136 @t132 @t131 @t130)) (exists (@list @t29 @t30 @t129) (and @t32 @t136 @t132 @t138 @t115)))))) % 0.52/0.71 (assume @p50 (forall (@list @t9 @t7 @t140 @t139) (and (=> @t141 @t142) (=> @t142 @t141)))) % 0.52/0.71 (assume @p51 (forall (@list @t71 @t23 @t41) (=> @t143 (tptp.vtcheck @t71 @t27 @t41)))) % 0.52/0.71 (assume @p52 (forall (@list @t71 @t23 @t21 @t22 @t41) (=> @t145 (tptp.vtcheck @t71 @t24 @t144)))) % 0.52/0.71 (assume @p53 (forall (@list @t22 @t71 @t30 @t29 @t41) (=> (and @t147 @t146) (tptp.vtcheck @t71 @t31 @t41)))) % 0.52/0.71 (assume @p54 (forall (@list @t21 @t41 @t71) (=> @t150 (or (exists @t78 (and (= @t21 @t27) @t143)) (exists (@list @t23 @t29 @t149 @t148) (and (= @t21 (tptp.vabs @t23 @t149 @t29)) (= @t41 (tptp.varrow @t149 @t148)) (tptp.vtcheck (tptp.vbind @t23 @t149 @t71) @t29 @t148))) (exists (@list @t30 @t29 @t22) (and (= @t21 @t31) @t147 @t146)))))) % 0.52/0.71 (assume @p55 (forall @t151 (=> (and (= @t75 tptp.vnoType) @t150) @t145))) % 0.52/0.71 (assume @p56 @t155) % 0.52/0.71 (assume @p57 (forall @t151 (=> (and @t153 @t150) @t145))) % 0.52/0.71 (assume @p58 (forall (@list @t41 @t71 @t23 @t21 @t148) (=> (and @t150 (tptp.vtcheck @t156 tptp.veabs @t148)) (tptp.vtcheck @t71 (tptp.vsubst @t23 @t21 tptp.veabs) @t148)))) % 0.52/0.71 (assume @p59 (forall (@list @t41 @t71 @t23 @t21 @t69 @t22 @t30 @t148) (=> (and @t70 @t150 (tptp.vtcheck @t156 @t157 @t148)) (tptp.vtcheck @t71 (tptp.vsubst @t23 @t21 @t157) @t148)))) % 0.52/0.71 (assume @p60 @t163) % 0.52/0.71 (assume @p61 @t165) % 0.52/0.71 (assume @p62 @t168) % 0.52/0.71 (assume @p63 true) % 0.52/0.71 (step @p64 :rule evaluate :args ((= true false))) % 0.52/0.71 (step @p65 :rule aci_norm :args ((= (or @t172 @t159) @t171))) % 0.52/0.71 (step @p66 :rule refl :args (@t159)) % 0.52/0.71 (step @p67 :rule bool-and-de-morgan :args (@t150 @t160 true)) % 0.52/0.71 (step @p68 :rule nary_cong :premises (@p67 @p66) :args ((or @t173 @t159))) % 0.52/0.71 (step @p69 :rule trans :premises (@p68 @p65)) % 0.52/0.71 (step @p70 :rule bool-impl-elim :args (@t166 @t159)) % 0.52/0.71 (step @p71 :rule trans :premises (@p70 @p69)) % 0.52/0.71 (step @p72 :rule cong :premises (@p71) :args (@t167)) % 0.52/0.71 (step @p73 :rule cong :premises (@p72) :args (@t168)) % 0.52/0.71 (step @p74 :rule eq_resolve :premises (@p62 @p73)) % 0.52/0.71 (step @p75 :rule skolemize :premises (@p74)) % 0.52/0.71 (step @p76 :rule cnf_or_neg :args (@t188 2)) % 0.52/0.71 (step @p77 :rule chain_m_resolution :premises (@p76 @p75) :args ((not @t182) @t189 @t190)) % 0.52/0.71 (step @p78 :rule false_intro :premises (@p77)) % 0.52/0.71 (step @p79 :rule refl :args (@t175)) % 0.52/0.71 (step @p80 :rule refl :args (tptp.veabs)) % 0.52/0.71 (step @p81 :rule refl 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(@t259)) % 0.52/0.71 (step @p277 :rule bool-double-not-elim :args (@t152)) % 0.52/0.71 (step @p278 :rule nary_cong :premises (@p277 @p276) :args ((or (not @t153) @t259))) % 0.52/0.71 (step @p279 :rule bool-and-de-morgan :args (@t153 @t145 true)) % 0.52/0.71 (step @p280 :rule trans :premises (@p279 @p278)) % 0.52/0.71 (step @p281 :rule nary_cong :premises (@p280 @p275) :args ((or (not @t154) @t150))) % 0.52/0.71 (step @p282 :rule trans :premises (@p281 @p274)) % 0.52/0.71 (step @p283 :rule bool-impl-elim :args (@t154 @t150)) % 0.52/0.71 (step @p284 :rule trans :premises (@p283 @p282)) % 0.52/0.71 (step @p285 :rule cong :premises (@p284) :args (@t155)) % 0.52/0.71 (step @p286 :rule eq_resolve :premises (@p56 @p285)) % 0.52/0.71 (step @p287 :rule instantiate :premises (@p286) :args ((@list @t180 @t183 @t181 @t178 @t175))) % 0.52/0.71 (step @p288 :rule aci_norm :args ((= (and @t275 (and @t270 @t264)) (and @t275 @t270 @t264)))) % 0.52/0.71 (step @p289 :rule refl :args (@t264)) % 0.52/0.71 (step @p290 :rule aci_norm :args ((= (or false @t268) @t268))) % 0.52/0.71 (step @p291 :rule refl :args (@t268)) % 0.52/0.71 (step @p292 :rule eq-refl :args (@t267)) % 0.52/0.71 (step @p293 :rule cong :premises (@p292) :args (@t276)) % 0.52/0.71 (step @p294 :rule trans :premises (@p293 @p151)) % 0.52/0.71 (step @p295 :rule nary_cong :premises (@p294 @p291) :args (@t277)) % 0.52/0.71 (step @p296 :rule trans :premises (@p295 @p290)) % 0.52/0.71 (step @p297 :rule cong :premises (@p296) :args ((forall @t269 @t277))) % 0.52/0.71 (step @p298 :rule quant-var-elim-eq :args ((= (forall @t282 @t281) @t277))) % 0.52/0.71 (step @p299 :rule aci_norm :args ((= @t283 @t281))) % 0.52/0.71 (step @p300 :rule cong :premises (@p299) :args (@t284)) % 0.52/0.71 (step @p301 :rule trans :premises (@p300 @p298)) % 0.52/0.71 (step @p302 :rule cong :premises (@p301) :args (@t285)) % 0.52/0.71 (step @p303 :rule quant-merge-prenex :args ((= @t285 @t286))) % 0.52/0.71 (step @p304 :rule symm :premises (@p303)) % 0.52/0.71 (step @p305 :rule quant_var_reordering :args ((= @t287 @t286))) % 0.52/0.71 (step @p306 :rule trans :premises (@p305 @p304 @p302)) % 0.52/0.71 (step @p307 :rule trans :premises (@p306 @p297)) % 0.52/0.71 (step @p308 :rule nary_cong :premises (@p307 @p289) :args ((and @t287 @t264))) % 0.52/0.71 (step @p309 :rule alpha_equiv :args (@t296 @t297 (@list @t261 @t262 @t263 @t260))) % 0.52/0.71 (step @p310 :rule alpha_equiv :args (@t300 @t297 (@list @t266 @t278 @t267 @t265))) % 0.52/0.71 (step @p311 :rule nary_cong :premises (@p310 @p309) :args (@t301)) % 0.52/0.71 (step @p312 :rule quant-miniscope-and :args ((= (forall @t295 (and @t299 @t294)) @t301))) % 0.52/0.71 (step @p313 :rule trans :premises (@p312 @p311)) % 0.52/0.71 (step @p314 :rule trans :premises (@p313 @p308)) % 0.52/0.71 (step @p315 :rule bool-or-and-distrib :args (@t298 @t293 true @t292 false)) % 0.52/0.71 (step @p316 :rule cong :premises (@p315) :args ((forall @t295 @t303))) % 0.52/0.71 (step @p317 :rule trans :premises (@p316 @p314)) % 0.52/0.71 (step @p318 :rule aci_norm :args ((= @t304 @t303))) % 0.52/0.71 (step @p319 :rule cong :premises (@p318) :args (@t305)) % 0.52/0.71 (step @p320 :rule trans :premises (@p319 @p317)) % 0.52/0.71 (step @p321 :rule refl :args (@t275)) % 0.52/0.71 (step @p322 :rule nary_cong :premises (@p321 @p320) :args ((and @t275 @t305))) % 0.52/0.71 (step @p323 :rule trans :premises (@p322 @p288)) % 0.52/0.71 (step @p324 :rule alpha_equiv :args (@t309 @t310 @t297)) % 0.52/0.71 (step @p325 :rule alpha_equiv :args (@t312 @t310 (@list @t272 @t273 @t274 @t271))) % 0.52/0.71 (step @p326 :rule nary_cong :premises (@p325 @p324) :args (@t313)) % 0.52/0.71 (step @p327 :rule quant-miniscope-and :args ((= (forall @t308 @t314) @t313))) % 0.52/0.71 (step @p328 :rule trans :premises (@p327 @p326)) % 0.52/0.71 (step @p329 :rule trans :premises (@p328 @p323)) % 0.52/0.71 (step @p330 :rule aci_norm :args ((= (or false @t314) @t314))) % 0.52/0.71 (step @p331 :rule refl :args (@t314)) % 0.52/0.71 (step @p332 :rule eq-refl :args (@t42)) % 0.52/0.71 (step @p333 :rule cong :premises (@p332) :args (@t315)) % 0.52/0.71 (step @p334 :rule trans :premises (@p333 @p151)) % 0.52/0.71 (step @p335 :rule nary_cong :premises (@p334 @p331) :args (@t316)) % 0.52/0.71 (step @p336 :rule trans :premises (@p335 @p330)) % 0.52/0.71 (step @p337 :rule cong :premises (@p336) :args ((forall @t308 @t316))) % 0.52/0.71 (step @p338 :rule trans :premises (@p337 @p329)) % 0.52/0.71 (step @p339 :rule quant-var-elim-eq :args ((= (forall @t111 @t320) @t316))) % 0.52/0.71 (step @p340 :rule aci_norm :args ((= @t321 @t320))) % 0.52/0.71 (step @p341 :rule cong :premises (@p340) :args (@t322)) % 0.52/0.71 (step @p342 :rule trans :premises (@p341 @p339)) % 0.52/0.71 (step @p343 :rule cong :premises (@p342) :args (@t323)) % 0.52/0.71 (step @p344 :rule quant-merge-prenex :args ((= @t323 @t324))) % 0.52/0.71 (step @p345 :rule symm :premises (@p344)) % 0.52/0.71 (step @p346 :rule quant_var_reordering :args ((= (forall @t325 @t321) @t324))) % 0.52/0.71 (step @p347 :rule trans :premises (@p346 @p345 @p343)) % 0.52/0.71 (step @p348 :rule trans :premises (@p347 @p338)) % 0.52/0.71 (step @p349 :rule aci_norm :args ((= (or false @t319 @t318) @t321))) % 0.52/0.71 (step @p350 :rule refl :args (@t318)) % 0.52/0.71 (step @p351 :rule refl :args (@t319)) % 0.52/0.71 (step @p352 :rule eq-refl :args (@t33)) % 0.52/0.71 (step @p353 :rule cong :premises (@p352) :args (@t326)) % 0.52/0.71 (step @p354 :rule trans :premises (@p353 @p151)) % 0.52/0.71 (step @p355 :rule nary_cong :premises (@p354 @p351 @p350) :args (@t327)) % 0.52/0.71 (step @p356 :rule trans :premises (@p355 @p349)) % 0.52/0.71 (step @p357 :rule cong :premises (@p356) :args ((forall @t325 @t327))) % 0.52/0.71 (step @p358 :rule trans :premises (@p357 @p348)) % 0.52/0.71 (step @p359 :rule quant-var-elim-eq :args ((= (forall @t251 @t331) @t327))) % 0.52/0.71 (step @p360 :rule aci_norm :args ((= @t332 @t331))) % 0.52/0.71 (step @p361 :rule cong :premises (@p360) :args (@t333)) % 0.52/0.71 (step @p362 :rule trans :premises (@p361 @p359)) % 0.52/0.71 (step @p363 :rule cong :premises (@p362) :args (@t334)) % 0.52/0.71 (step @p364 :rule quant-merge-prenex :args ((= @t334 @t335))) % 0.52/0.71 (step @p365 :rule symm :premises (@p364)) % 0.52/0.71 (step @p366 :rule quant_var_reordering :args ((= (forall @t45 @t332) @t335))) % 0.52/0.71 (step @p367 :rule trans :premises (@p366 @p365 @p363)) % 0.52/0.71 (step @p368 :rule trans :premises (@p367 @p358)) % 0.52/0.71 (step @p369 :rule aci_norm :args ((= (or (or @t330 @t319) @t329) @t332))) % 0.52/0.71 (step @p370 :rule bool-impl-elim :args (@t35 @t39)) % 0.52/0.71 (step @p371 :rule aci_norm :args ((= (or (or @t34 @t83) @t35) @t328))) % 0.52/0.71 (step @p372 :rule refl :args (@t35)) % 0.52/0.71 (step @p373 :rule refl :args (@t83)) % 0.52/0.71 (step @p374 :rule bool-double-not-elim :args (@t34)) % 0.52/0.71 (step @p375 :rule nary_cong :premises (@p374 @p373) :args ((or (not @t38) @t83))) % 0.52/0.71 (step @p376 :rule bool-and-de-morgan :args (@t38 @t37 true)) % 0.52/0.71 (step @p377 :rule trans :premises (@p376 @p375)) % 0.52/0.71 (step @p378 :rule nary_cong :premises (@p377 @p372) :args ((or (not @t39) @t35))) % 0.52/0.71 (step @p379 :rule trans :premises (@p378 @p371)) % 0.52/0.71 (step @p380 :rule bool-impl-elim :args (@t39 @t35)) % 0.52/0.71 (step @p381 :rule trans :premises (@p380 @p379)) % 0.52/0.71 (step @p382 :rule nary_cong :premises (@p381 @p370) :args (@t40)) % 0.52/0.71 (step @p383 :rule bool-and-de-morgan :args (@t36 @t43 true)) % 0.52/0.71 (step @p384 :rule nary_cong :premises (@p383 @p382) :args ((or (not @t44) @t40))) % 0.52/0.71 (step @p385 :rule trans :premises (@p384 @p369)) % 0.52/0.71 (step @p386 :rule bool-impl-elim :args (@t44 @t40)) % 0.52/0.71 (step @p387 :rule trans :premises (@p386 @p385)) % 0.52/0.71 (step @p388 :rule cong :premises (@p387) :args (@t46)) % 0.52/0.71 (step @p389 :rule trans :premises (@p388 @p368)) % 0.52/0.71 (step @p390 :rule eq_resolve :premises (@p11 @p389)) % 0.52/0.71 (step @p391 :rule and_elim :premises (@p390) :args (1)) % 0.52/0.71 (step @p392 :rule instantiate :premises (@p391) :args ((@list @t176 @t177 tptp.veabs))) % 0.52/0.71 (step @p393 :rule false_intro :premises (@p392)) % 0.52/0.71 (step @p394 :rule refl :args (@t178)) % 0.52/0.71 (step @p395 :rule cong :premises (@p142 @p394) :args (@t336)) % 0.52/0.71 (step @p396 :rule trans :premises (@p395 @p393)) % 0.52/0.71 (step @p397 :rule false_elim :premises (@p396)) % 0.52/0.71 (step @p398 :rule cnf_or_pos :args (@t337)) % 0.52/0.71 (step @p399 :rule reordering :premises (@p398) :args ((or @t185 @t336 @t258 (not @t337)))) % 0.52/0.71 (step @p400 :rule chain_m_resolution :premises (@p399 @p94 @p397 @p287) :args (@t258 (@list false true false) (@list @t184 @t336 @t337))) % 0.52/0.71 (step @p401 :rule true_intro :premises (@p400)) % 0.52/0.71 (step @p402 :rule symm :premises (@p401)) % 0.52/0.71 (step @p403 :rule trans :premises (@p402 @p273 @p148 @p78)) % 0.52/0.71 (step @p404 false :rule eq_resolve :premises (@p403 @p64)) % 0.52/0.71 ) % 0.52/0.71 % SZS output end Proof % 0.52/0.71 % cvc5 exiting %------------------------------------------------------------------------------