%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : COM128+1 : TPTP v9.2.1. Released v6.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n017.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 08:10:33 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 % 0.00/0.12 % Problem : COM128+1 : TPTP v9.2.1. Released v6.4.0. % 0.00/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n017.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 20:29:01 EDT 2026 % 0.16/0.34 % CPUTime : % 0.27/0.51 %----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 $$unsorted 0) % 0.35/0.67 (declare-const tptp.valphaEquivalent (-> $$unsorted $$unsorted Bool)) % 0.35/0.67 (declare-const tptp.varrow (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.67 (declare-const tptp.vgetSomeExp (-> $$unsorted $$unsorted)) % 0.35/0.67 (declare-const tptp.vsomeExp (-> $$unsorted $$unsorted)) % 0.35/0.67 (declare-const tptp.vnoExp $$unsorted) % 0.35/0.67 (declare-const tptp.vsubst (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.35/0.67 (declare-const tptp.vgensym (-> $$unsorted $$unsorted)) % 0.35/0.67 (declare-const tptp.vapp (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.67 (declare-const tptp.visValue (-> $$unsorted Bool)) % 0.35/0.67 (declare-const tptp.vempty $$unsorted) % 0.35/0.67 (declare-const tptp.vbind (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.35/0.67 (declare-const tptp.vnoType $$unsorted) % 0.35/0.67 (declare-const tptp.visFreeVar (-> $$unsorted $$unsorted Bool)) % 0.35/0.67 (declare-const tptp.vtcheck (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.35/0.67 (declare-const tptp.vsomeType (-> $$unsorted $$unsorted)) % 0.35/0.67 (declare-const tptp.visSomeExp (-> $$unsorted Bool)) % 0.35/0.67 (declare-const tptp.vvar (-> $$unsorted $$unsorted)) % 0.35/0.67 (declare-const tptp.vlookup (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.67 (declare-const tptp.vabs (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.35/0.67 (declare-const tptp.visSomeType (-> $$unsorted Bool)) % 0.35/0.67 (declare-const tptp.vreduce (-> $$unsorted $$unsorted)) % 0.35/0.67 (declare-const tptp.vgetSomeType (-> $$unsorted $$unsorted)) % 0.35/0.67 (define @t1 () (@var "VVar1" $$unsorted)) % 0.35/0.67 (define @t2 () (@var "VVar0" $$unsorted)) % 0.35/0.67 (define @t3 () (tptp.vvar @t2)) % 0.35/0.67 (define @t4 () (= @t3 (tptp.vvar @t1))) % 0.35/0.67 (define @t5 () (= @t2 @t1)) % 0.35/0.67 (define @t6 () (@var "VExp1" $$unsorted)) % 0.35/0.67 (define @t7 () (@var "VTyp1" $$unsorted)) % 0.35/0.67 (define @t8 () (@var "VExp0" $$unsorted)) % 0.35/0.67 (define @t9 () (@var "VTyp0" $$unsorted)) % 0.35/0.67 (define @t10 () (tptp.vabs @t2 @t9 @t8)) % 0.35/0.67 (define @t11 () (= @t10 (tptp.vabs @t1 @t7 @t6))) % 0.35/0.67 (define @t12 () (= @t8 @t6)) % 0.35/0.67 (define @t13 () (= @t9 @t7)) % 0.35/0.67 (define @t14 () (and @t5 @t13 @t12)) % 0.35/0.67 (define @t15 () (@var "VExp3" $$unsorted)) % 0.35/0.67 (define @t16 () (@var "VExp2" $$unsorted)) % 0.35/0.67 (define @t17 () (tptp.vapp @t8 @t6)) % 0.35/0.67 (define @t18 () (= @t17 (tptp.vapp @t16 @t15))) % 0.35/0.67 (define @t19 () (and (= @t8 @t16) (= @t6 @t15))) % 0.35/0.67 (define @t20 () (tptp.visValue @t8)) % 0.35/0.67 (define @t21 () (@var "Ve" $$unsorted)) % 0.35/0.67 (define @t22 () (@var "VS" $$unsorted)) % 0.35/0.67 (define @t23 () (@var "Vx" $$unsorted)) % 0.35/0.67 (define @t24 () (tptp.vabs @t23 @t22 @t21)) % 0.35/0.67 (define @t25 () (= @t8 @t24)) % 0.35/0.67 (define @t26 () (not @t20)) % 0.35/0.67 (define @t27 () (tptp.vvar @t23)) % 0.35/0.67 (define @t28 () (= @t8 @t27)) % 0.35/0.67 (define @t29 () (@var "Ve2" $$unsorted)) % 0.35/0.67 (define @t30 () (@var "Ve1" $$unsorted)) % 0.35/0.67 (define @t31 () (tptp.vapp @t30 @t29)) % 0.35/0.67 (define @t32 () (= @t8 @t31)) % 0.35/0.67 (define @t33 () (@var "Vv" $$unsorted)) % 0.35/0.67 (define @t34 () (= @t23 @t33)) % 0.35/0.67 (define @t35 () (tptp.visFreeVar @t2 @t8)) % 0.35/0.67 (define @t36 () (and (=> @t34 @t35) (=> @t35 @t34))) % 0.35/0.67 (define @t37 () (= @t2 @t33)) % 0.35/0.67 (define @t38 () (and @t37 @t28)) % 0.35/0.67 (define @t39 () (@list @t2 @t8 @t23 @t33)) % 0.35/0.67 (define @t40 () (forall @t39 (=> @t38 @t36))) % 0.35/0.67 (define @t41 () (tptp.visFreeVar @t33 @t21)) % 0.35/0.67 (define @t42 () (not @t34)) % 0.35/0.67 (define @t43 () (and @t42 @t41)) % 0.35/0.67 (define @t44 () (@var "VT" $$unsorted)) % 0.35/0.67 (define @t45 () (tptp.visFreeVar @t33 @t29)) % 0.35/0.67 (define @t46 () (tptp.visFreeVar @t33 @t30)) % 0.35/0.67 (define @t47 () (or @t46 @t45)) % 0.35/0.67 (define @t48 () (and (=> @t47 @t35) (=> @t35 @t47))) % 0.35/0.67 (define @t49 () (and @t37 @t32)) % 0.35/0.67 (define @t50 () (@list @t2 @t8 @t30 @t33 @t29)) % 0.35/0.67 (define @t51 () (forall @t50 (=> @t49 @t48))) % 0.35/0.67 (define @t52 () (= tptp.vempty tptp.vempty)) % 0.35/0.67 (define @t53 () (@var "VCtx1" $$unsorted)) % 0.35/0.67 (define @t54 () (@var "VCtx0" $$unsorted)) % 0.35/0.67 (define @t55 () (tptp.vbind @t2 @t9 @t54)) % 0.35/0.67 (define @t56 () (= @t55 (tptp.vbind @t1 @t7 @t53))) % 0.35/0.67 (define @t57 () (and @t5 @t13 (= @t54 @t53))) % 0.35/0.67 (define @t58 () (= tptp.vnoType tptp.vnoType)) % 0.35/0.67 (define @t59 () (tptp.vsomeType @t9)) % 0.35/0.67 (define @t60 () (= @t59 (tptp.vsomeType @t7))) % 0.35/0.67 (define @t61 () (@var "VOptTyp0" $$unsorted)) % 0.35/0.67 (define @t62 () (tptp.visSomeType @t61)) % 0.35/0.67 (define @t63 () (= @t61 (tptp.vsomeType @t21))) % 0.35/0.67 (define @t64 () (@var "RESULT" $$unsorted)) % 0.35/0.67 (define @t65 () (= @t64 @t21)) % 0.35/0.67 (define @t66 () (= @t64 tptp.vnoType)) % 0.35/0.67 (define @t67 () (tptp.vlookup @t2 @t54)) % 0.35/0.67 (define @t68 () (= @t64 @t67)) % 0.35/0.67 (define @t69 () (= @t54 tptp.vempty)) % 0.35/0.67 (define @t70 () (= @t2 @t23)) % 0.35/0.67 (define @t71 () (@var "VTy" $$unsorted)) % 0.35/0.67 (define @t72 () (= @t64 (tptp.vsomeType @t71))) % 0.35/0.67 (define @t73 () (@var "Vy" $$unsorted)) % 0.35/0.67 (define @t74 () (= @t23 @t73)) % 0.35/0.67 (define @t75 () (@var "VC" $$unsorted)) % 0.35/0.67 (define @t76 () (tptp.vbind @t73 @t71 @t75)) % 0.35/0.67 (define @t77 () (= @t54 @t76)) % 0.35/0.67 (define @t78 () (and @t70 @t77)) % 0.35/0.67 (define @t79 () (tptp.vlookup @t23 @t75)) % 0.35/0.67 (define @t80 () (= @t64 @t79)) % 0.35/0.67 (define @t81 () (not @t74)) % 0.35/0.67 (define @t82 () (@list @t23)) % 0.35/0.67 (define @t83 () (@var "VTx" $$unsorted)) % 0.35/0.67 (define @t84 () (tptp.vbind @t23 @t83 @t75)) % 0.35/0.67 (define @t85 () (tptp.vtcheck (tptp.vbind @t23 @t83 @t76) @t21 @t44)) % 0.35/0.67 (define @t86 () (@list @t73 @t71 @t23 @t83 @t75 @t21 @t44)) % 0.35/0.67 (define @t87 () (not @t41)) % 0.35/0.67 (define @t88 () (tptp.vgensym @t21)) % 0.35/0.67 (define @t89 () (=> (= @t88 @t33) @t87)) % 0.35/0.67 (define @t90 () (@list @t33 @t21)) % 0.35/0.67 (define @t91 () (forall @t90 @t89)) % 0.35/0.67 (define @t92 () (tptp.vsubst @t2 @t8 @t6)) % 0.35/0.67 (define @t93 () (= @t64 @t92)) % 0.35/0.67 (define @t94 () (tptp.vvar @t73)) % 0.35/0.67 (define @t95 () (= @t6 @t94)) % 0.35/0.67 (define @t96 () (= @t8 @t21)) % 0.35/0.67 (define @t97 () (and @t70 @t96 @t95)) % 0.35/0.67 (define @t98 () (= @t64 @t94)) % 0.35/0.67 (define @t99 () (tptp.vsubst @t23 @t21 @t30)) % 0.35/0.67 (define @t100 () (= @t64 (tptp.vapp @t99 (tptp.vsubst @t23 @t21 @t29)))) % 0.35/0.67 (define @t101 () (= @t6 @t31)) % 0.35/0.67 (define @t102 () (tptp.vabs @t73 @t44 @t30)) % 0.35/0.67 (define @t103 () (= @t64 @t102)) % 0.35/0.67 (define @t104 () (= @t6 @t102)) % 0.35/0.67 (define @t105 () (and @t70 @t96 @t104)) % 0.35/0.67 (define @t106 () (@var "Vfresh" $$unsorted)) % 0.35/0.67 (define @t107 () (= @t64 (tptp.vsubst @t23 @t21 (tptp.vabs @t106 @t44 (tptp.vsubst @t73 (tptp.vvar @t106) @t30))))) % 0.35/0.67 (define @t108 () (tptp.vgensym (tptp.vapp (tptp.vapp @t21 @t30) @t27))) % 0.35/0.67 (define @t109 () (= @t106 @t108)) % 0.35/0.67 (define @t110 () (tptp.visFreeVar @t73 @t21)) % 0.35/0.67 (define @t111 () (= @t64 (tptp.vabs @t73 @t44 @t99))) % 0.35/0.67 (define @t112 () (not @t110)) % 0.35/0.67 (define @t113 () (= tptp.vnoExp tptp.vnoExp)) % 0.35/0.67 (define @t114 () (tptp.vsomeExp @t8)) % 0.35/0.67 (define @t115 () (= @t114 (tptp.vsomeExp @t6))) % 0.35/0.67 (define @t116 () (@list @t8)) % 0.35/0.67 (define @t117 () (@var "VOptExp0" $$unsorted)) % 0.35/0.67 (define @t118 () (tptp.visSomeExp @t117)) % 0.35/0.67 (define @t119 () (= @t117 (tptp.vsomeExp @t21))) % 0.35/0.67 (define @t120 () (= @t64 tptp.vnoExp)) % 0.35/0.67 (define @t121 () (tptp.vreduce @t8)) % 0.35/0.67 (define @t122 () (= @t64 @t121)) % 0.35/0.67 (define @t123 () (=> @t122 @t120)) % 0.35/0.67 (define @t124 () (@var "Ve2red" $$unsorted)) % 0.35/0.67 (define @t125 () (tptp.vabs @t23 @t22 @t30)) % 0.35/0.67 (define @t126 () (= @t64 (tptp.vsomeExp (tptp.vapp @t125 (tptp.vgetSomeExp @t124))))) % 0.35/0.67 (define @t127 () (tptp.visSomeExp @t124)) % 0.35/0.67 (define @t128 () (= @t124 (tptp.vreduce @t29))) % 0.35/0.67 (define @t129 () (= @t8 (tptp.vapp @t125 @t29))) % 0.35/0.67 (define @t130 () (= @t64 (tptp.vsomeExp (tptp.vsubst @t23 @t29 @t30)))) % 0.35/0.67 (define @t131 () (tptp.visValue @t29)) % 0.35/0.67 (define @t132 () (not @t127)) % 0.35/0.67 (define @t133 () (not @t131)) % 0.35/0.67 (define @t134 () (@var "Ve1red" $$unsorted)) % 0.35/0.67 (define @t135 () (= @t64 (tptp.vsomeExp (tptp.vapp (tptp.vgetSomeExp @t134) @t29)))) % 0.35/0.67 (define @t136 () (tptp.visSomeExp @t134)) % 0.35/0.67 (define @t137 () (= @t134 (tptp.vreduce @t30))) % 0.35/0.67 (define @t138 () (@var "VVe10" $$unsorted)) % 0.35/0.67 (define @t139 () (@var "VVS0" $$unsorted)) % 0.35/0.67 (define @t140 () (@var "VVx0" $$unsorted)) % 0.35/0.67 (define @t141 () (forall (@list @t140 @t139 @t138) (not (= @t30 (tptp.vabs @t140 @t139 @t138))))) % 0.35/0.67 (define @t142 () (and @t32 @t141)) % 0.35/0.67 (define @t143 () (not @t136)) % 0.35/0.67 (define @t144 () (@var "VTyp3" $$unsorted)) % 0.35/0.67 (define @t145 () (@var "VTyp2" $$unsorted)) % 0.35/0.67 (define @t146 () (= (tptp.varrow @t9 @t7) (tptp.varrow @t145 @t144))) % 0.35/0.67 (define @t147 () (and (= @t9 @t145) (= @t7 @t144))) % 0.35/0.67 (define @t148 () (= @t79 (tptp.vsomeType @t44))) % 0.35/0.67 (define @t149 () (tptp.varrow @t22 @t44)) % 0.35/0.67 (define @t150 () (tptp.vtcheck (tptp.vbind @t23 @t22 @t75) @t21 @t44)) % 0.35/0.67 (define @t151 () (tptp.vtcheck @t75 @t29 @t22)) % 0.35/0.67 (define @t152 () (tptp.vtcheck @t75 @t30 @t149)) % 0.35/0.67 (define @t153 () (@var "VT2" $$unsorted)) % 0.35/0.67 (define @t154 () (@var "VT1" $$unsorted)) % 0.35/0.67 (define @t155 () (tptp.vtcheck @t75 @t21 @t44)) % 0.35/0.67 (define @t156 () (@list @t21)) % 0.35/0.67 (define @t157 () (tptp.valphaEquivalent @t30 @t29)) % 0.35/0.67 (define @t158 () (@var "Ve3" $$unsorted)) % 0.35/0.67 (define @t159 () (tptp.valphaEquivalent @t21 @t30)) % 0.35/0.67 (define @t160 () (not (tptp.visFreeVar @t23 @t21))) % 0.35/0.67 (define @t161 () (@list @t23 @t22 @t75 @t21 @t44)) % 0.35/0.67 (define @t162 () (tptp.vabs @t73 @t22 @t30)) % 0.35/0.67 (define @t163 () (not (= @t23 @t106))) % 0.35/0.67 (define @t164 () (@list @t21 @t30 @t23 @t106)) % 0.35/0.67 (define @t165 () (forall @t164 (=> @t109 @t163))) % 0.35/0.67 (define @t166 () (not @t165)) % 0.35/0.67 (define @t167 () (tptp.visFreeVar @t33 @t31)) % 0.35/0.67 (define @t168 () (or (not @t167) @t46 @t45)) % 0.35/0.67 (define @t169 () (@list @t30 @t33 @t29)) % 0.35/0.67 (define @t170 () (forall @t169 @t168)) % 0.35/0.67 (define @t171 () (@list @t30 @t33 @t29)) % 0.35/0.67 (define @t172 () (and (not @t46) (not @t45))) % 0.35/0.67 (define @t173 () (or @t172 @t167)) % 0.35/0.67 (define @t174 () (forall @t169 @t173)) % 0.35/0.67 (define @t175 () (and @t174 @t170)) % 0.35/0.67 (define @t176 () (and @t173 @t168)) % 0.35/0.67 (define @t177 () (not (= @t31 @t31))) % 0.35/0.67 (define @t178 () (or @t177 @t176)) % 0.35/0.67 (define @t179 () (tptp.visFreeVar @t33 @t8)) % 0.35/0.67 (define @t180 () (not @t179)) % 0.35/0.67 (define @t181 () (and (or @t172 @t179) (or @t180 @t46 @t45))) % 0.35/0.67 (define @t182 () (not @t32)) % 0.35/0.67 (define @t183 () (or @t182 @t182 @t181)) % 0.35/0.67 (define @t184 () (or @t182 @t181)) % 0.35/0.67 (define @t185 () (forall @t116 @t184)) % 0.35/0.67 (define @t186 () (forall @t169 @t185)) % 0.35/0.67 (define @t187 () (forall (@list @t30 @t33 @t29 @t8) @t184)) % 0.35/0.67 (define @t188 () (@list @t8 @t30 @t33 @t29)) % 0.35/0.67 (define @t189 () (not (= @t33 @t33))) % 0.35/0.67 (define @t190 () (or @t189 @t182 @t181)) % 0.35/0.67 (define @t191 () (not @t35)) % 0.35/0.67 (define @t192 () (or @t191 @t46 @t45)) % 0.35/0.67 (define @t193 () (and (or @t172 @t35) @t192)) % 0.35/0.67 (define @t194 () (not @t37)) % 0.35/0.67 (define @t195 () (or @t194 @t194 @t182 @t193)) % 0.35/0.67 (define @t196 () (@list @t2)) % 0.35/0.67 (define @t197 () (or @t194 @t182 @t193)) % 0.35/0.67 (define @t198 () (forall @t196 @t197)) % 0.35/0.67 (define @t199 () (forall @t188 @t198)) % 0.35/0.67 (define @t200 () (forall (@list @t8 @t30 @t33 @t29 @t2) @t197)) % 0.35/0.67 (define @t201 () (not (= @t23 @t108))) % 0.35/0.67 (define @t202 () (@list @t21 @t30 @t23)) % 0.35/0.67 (define @t203 () (forall @t202 @t201)) % 0.35/0.67 (define @t204 () (@quantifiers_skolemize @t203 2)) % 0.35/0.67 (define @t205 () (tptp.vvar @t204)) % 0.35/0.67 (define @t206 () (tptp.vapp (@quantifiers_skolemize @t203 0) (@quantifiers_skolemize @t203 1))) % 0.35/0.67 (define @t207 () (tptp.vapp @t206 @t205)) % 0.35/0.67 (define @t208 () (tptp.vgensym @t207)) % 0.35/0.67 (define @t209 () (not (tptp.visFreeVar @t88 @t21))) % 0.35/0.67 (define @t210 () (not (= @t88 @t88))) % 0.35/0.67 (define @t211 () (or @t210 @t209)) % 0.35/0.67 (define @t212 () (= @t33 @t88)) % 0.35/0.67 (define @t213 () (not @t212)) % 0.35/0.67 (define @t214 () (or @t213 @t213 @t87)) % 0.35/0.67 (define @t215 () (@list @t33)) % 0.35/0.67 (define @t216 () (or @t213 @t87)) % 0.35/0.67 (define @t217 () (forall @t215 @t216)) % 0.35/0.67 (define @t218 () (forall @t156 @t217)) % 0.35/0.67 (define @t219 () (forall (@list @t21 @t33) @t216)) % 0.35/0.67 (define @t220 () (tptp.visFreeVar @t208 @t207)) % 0.35/0.67 (define @t221 () (not (tptp.visFreeVar @t208 @t205))) % 0.35/0.67 (define @t222 () (and (not (tptp.visFreeVar @t208 @t206)) @t221)) % 0.35/0.67 (define @t223 () (or @t222 @t220)) % 0.35/0.67 (define @t224 () (not (= @t108 @t108))) % 0.35/0.67 (define @t225 () (or @t224 @t201)) % 0.35/0.67 (define @t226 () (not @t109)) % 0.35/0.67 (define @t227 () (or @t226 @t226 @t163)) % 0.35/0.67 (define @t228 () (@list @t106)) % 0.35/0.67 (define @t229 () (or @t226 @t163)) % 0.35/0.67 (define @t230 () (forall @t228 @t229)) % 0.35/0.67 (define @t231 () (forall @t202 @t230)) % 0.35/0.67 (define @t232 () (= @t204 @t208)) % 0.35/0.67 (define @t233 () (not @t203)) % 0.35/0.67 (define @t234 () (not (not @t232))) % 0.35/0.67 (define @t235 () (@var "BOUND_VARIABLE_8275" $$unsorted)) % 0.35/0.67 (define @t236 () (@var "BOUND_VARIABLE_8273" $$unsorted)) % 0.35/0.67 (define @t237 () (forall (@list @t236 @t235) (or (not (tptp.visFreeVar @t235 (tptp.vvar @t236))) (= @t236 @t235)))) % 0.35/0.67 (define @t238 () (@var "BOUND_VARIABLE_8264" $$unsorted)) % 0.35/0.67 (define @t239 () (tptp.visFreeVar @t238 (tptp.vvar @t238))) % 0.35/0.67 (define @t240 () (not (= @t238 @t238))) % 0.35/0.67 (define @t241 () (or @t240 @t239)) % 0.35/0.67 (define @t242 () (@list @t238)) % 0.35/0.67 (define @t243 () (@var "BOUND_VARIABLE_8262" $$unsorted)) % 0.35/0.67 (define @t244 () (tptp.visFreeVar @t238 (tptp.vvar @t243))) % 0.35/0.67 (define @t245 () (not (= @t243 @t238))) % 0.35/0.67 (define @t246 () (or @t245 @t245 @t244)) % 0.35/0.67 (define @t247 () (@list @t243)) % 0.35/0.67 (define @t248 () (or @t245 @t244)) % 0.35/0.67 (define @t249 () (forall @t247 @t248)) % 0.35/0.67 (define @t250 () (forall @t242 @t249)) % 0.35/0.67 (define @t251 () (forall (@list @t238 @t243) @t248)) % 0.35/0.67 (define @t252 () (forall (@list @t243 @t238) @t248)) % 0.35/0.67 (define @t253 () (tptp.visFreeVar @t33 @t27)) % 0.35/0.67 (define @t254 () (or (not @t253) @t34)) % 0.35/0.67 (define @t255 () (@list @t23 @t33)) % 0.35/0.67 (define @t256 () (forall @t255 @t254)) % 0.35/0.67 (define @t257 () (@list @t23 @t33)) % 0.35/0.67 (define @t258 () (or @t42 @t253)) % 0.35/0.67 (define @t259 () (forall @t255 @t258)) % 0.35/0.67 (define @t260 () (and @t259 @t256)) % 0.35/0.67 (define @t261 () (and @t258 @t254)) % 0.35/0.67 (define @t262 () (not (= @t27 @t27))) % 0.35/0.67 (define @t263 () (or @t262 @t261)) % 0.35/0.67 (define @t264 () (and (or @t42 @t179) (or @t180 @t34))) % 0.35/0.67 (define @t265 () (not @t28)) % 0.35/0.67 (define @t266 () (or @t265 @t265 @t264)) % 0.35/0.67 (define @t267 () (or @t265 @t264)) % 0.35/0.67 (define @t268 () (forall @t116 @t267)) % 0.35/0.67 (define @t269 () (forall @t255 @t268)) % 0.35/0.67 (define @t270 () (forall (@list @t23 @t33 @t8) @t267)) % 0.35/0.67 (define @t271 () (@list @t8 @t23 @t33)) % 0.35/0.67 (define @t272 () (or @t189 @t265 @t264)) % 0.35/0.67 (define @t273 () (and (or @t42 @t35) (or @t191 @t34))) % 0.35/0.67 (define @t274 () (or @t194 @t194 @t265 @t273)) % 0.35/0.67 (define @t275 () (or @t194 @t265 @t273)) % 0.35/0.67 (define @t276 () (forall @t196 @t275)) % 0.35/0.67 (define @t277 () (forall @t271 @t276)) % 0.35/0.67 (define @t278 () (forall (@list @t8 @t23 @t33 @t2) @t275)) % 0.35/0.67 (assume @p1 (forall (@list @t2 @t1) (and (=> @t4 @t5) (=> @t5 @t4)))) % 0.35/0.67 (assume @p2 (forall (@list @t2 @t9 @t8 @t1 @t7 @t6) (and (=> @t11 @t14) (=> @t14 @t11)))) % 0.35/0.67 (assume @p3 (forall (@list @t8 @t6 @t16 @t15) (and (=> @t18 @t19) (=> @t19 @t18)))) % 0.35/0.67 (assume @p4 (forall (@list @t2 @t1 @t9 @t8) (not (= @t3 (tptp.vabs @t1 @t9 @t8))))) % 0.35/0.67 (assume @p5 (forall (@list @t2 @t8 @t6) (not (= @t3 @t17)))) % 0.35/0.67 (assume @p6 (forall (@list @t2 @t9 @t8 @t6 @t16) (not (= @t10 (tptp.vapp @t6 @t16))))) % 0.35/0.67 (assume @p7 (forall (@list @t23 @t22 @t21 @t8) (=> @t25 @t20))) % 0.35/0.67 (assume @p8 (forall (@list @t23 @t8) (=> @t28 @t26))) % 0.35/0.67 (assume @p9 (forall (@list @t30 @t29 @t8) (=> @t32 @t26))) % 0.35/0.67 (assume @p10 @t40) % 0.35/0.67 (assume @p11 (forall (@list @t44 @t2 @t8 @t23 @t33 @t21) (=> (and @t37 (= @t8 (tptp.vabs @t23 @t44 @t21))) (and (=> @t43 @t35) (=> @t35 @t43))))) % 0.35/0.67 (assume @p12 @t51) % 0.35/0.67 (assume @p13 (and (=> @t52 true) (=> true @t52))) % 0.35/0.67 (assume @p14 (forall (@list @t2 @t9 @t54 @t1 @t7 @t53) (and (=> @t56 @t57) (=> @t57 @t56)))) % 0.35/0.67 (assume @p15 (and (=> @t58 true) (=> true @t58))) % 0.35/0.67 (assume @p16 (forall (@list @t9 @t7) (and (=> @t60 @t13) (=> @t13 @t60)))) % 0.35/0.67 (assume @p17 (forall (@list @t2 @t9 @t54) (not (= tptp.vempty @t55)))) % 0.35/0.67 (assume @p18 (forall (@list @t9) (not (= tptp.vnoType @t59)))) % 0.35/0.67 (assume @p19 (forall (@list @t61) (=> (= @t61 tptp.vnoType) (not @t62)))) % 0.35/0.67 (assume @p20 (forall (@list @t21 @t61) (=> @t63 @t62))) % 0.35/0.67 (assume @p21 (forall (@list @t61 @t64 @t21) (=> @t63 (=> (= @t64 (tptp.vgetSomeType @t61)) @t65)))) % 0.35/0.67 (assume @p22 (forall (@list @t23 @t2 @t54 @t64) (=> (and @t70 @t69) (=> @t68 @t66)))) % 0.35/0.67 (assume @p23 (forall (@list @t75 @t23 @t73 @t2 @t54 @t64 @t71) (=> @t78 (=> @t74 (=> @t68 @t72))))) % 0.35/0.67 (assume @p24 (forall (@list @t71 @t73 @t2 @t54 @t64 @t23 @t75) (=> @t78 (=> @t81 (=> @t68 @t80))))) % 0.35/0.67 (assume @p25 (forall (@list @t2 @t54 @t64) (=> (= @t67 @t64) (or (exists @t82 (and @t70 @t69 @t66)) (exists (@list @t75 @t23 @t73 @t71) (and @t70 @t77 @t74 @t72)) (exists (@list @t71 @t73 @t23 @t75) (and @t70 @t77 @t81 @t80)))))) % 0.35/0.67 (assume @p26 (forall @t86 (=> (and @t74 @t85) (tptp.vtcheck @t84 @t21 @t44)))) % 0.35/0.67 (assume @p27 (forall @t86 (=> (and @t81 @t85) (tptp.vtcheck (tptp.vbind @t73 @t71 @t84) @t21 @t44)))) % 0.35/0.67 (assume @p28 @t91) % 0.35/0.67 (assume @p29 (forall (@list @t23 @t73 @t2 @t8 @t6 @t64 @t21) (=> @t97 (=> @t74 (=> @t93 @t65))))) % 0.35/0.67 (assume @p30 (forall (@list @t21 @t23 @t2 @t8 @t6 @t64 @t73) (=> @t97 (=> @t81 (=> @t93 @t98))))) % 0.35/0.67 (assume @p31 (forall (@list @t2 @t8 @t6 @t64 @t30 @t23 @t21 @t29) (=> (and @t70 @t96 @t101) (=> @t93 @t100)))) % 0.35/0.67 (assume @p32 (forall (@list @t21 @t23 @t2 @t8 @t6 @t64 @t73 @t44 @t30) (=> @t105 (=> @t74 (=> @t93 @t103))))) % 0.35/0.67 (assume @p33 (forall (@list @t2 @t8 @t6 @t64 @t23 @t21 @t44 @t73 @t106 @t30) (=> @t105 (=> (and @t81 @t110 @t109) (=> @t93 @t107))))) % 0.35/0.67 (assume @p34 (forall (@list @t2 @t8 @t6 @t64 @t73 @t44 @t23 @t21 @t30) (=> @t105 (=> (and @t81 @t112) (=> @t93 @t111))))) % 0.35/0.67 (assume @p35 (forall (@list @t2 @t8 @t6 @t64) (=> (= @t92 @t64) (or (exists (@list @t23 @t73 @t21) (and @t70 @t96 @t95 @t74 @t65)) (exists (@list @t21 @t23 @t73) (and @t70 @t96 @t95 @t81 @t98)) (exists (@list @t30 @t23 @t21 @t29) (and @t70 @t96 @t101 @t100)) (exists (@list @t21 @t23 @t73 @t44 @t30) (and @t70 @t96 @t104 @t74 @t103)) (exists (@list @t23 @t21 @t44 @t73 @t106 @t30) (and @t70 @t96 @t104 @t81 @t110 @t109 @t107)) (exists (@list @t73 @t44 @t23 @t21 @t30) (and @t70 @t96 @t104 @t81 @t112 @t111)))))) % 0.35/0.67 (assume @p36 (and (=> @t113 true) (=> true @t113))) % 0.35/0.67 (assume @p37 (forall (@list @t8 @t6) (and (=> @t115 @t12) (=> @t12 @t115)))) % 0.35/0.67 (assume @p38 (forall @t116 (not (= tptp.vnoExp @t114)))) % 0.35/0.67 (assume @p39 (forall (@list @t117) (=> (= @t117 tptp.vnoExp) (not @t118)))) % 0.35/0.67 (assume @p40 (forall (@list @t21 @t117) (=> @t119 @t118))) % 0.35/0.67 (assume @p41 (forall (@list @t117 @t64 @t21) (=> @t119 (=> (= @t64 (tptp.vgetSomeExp @t117)) @t65)))) % 0.35/0.67 (assume @p42 (forall (@list @t23 @t8 @t64) (=> @t28 @t123))) % 0.35/0.67 (assume @p43 (forall (@list @t23 @t22 @t21 @t8 @t64) (=> @t25 @t123))) % 0.35/0.67 (assume @p44 (forall (@list @t29 @t8 @t64 @t23 @t22 @t30 @t124) (=> @t129 (=> (and @t128 @t127) (=> @t122 @t126))))) % 0.35/0.67 (assume @p45 (forall (@list @t22 @t124 @t8 @t64 @t23 @t29 @t30) (=> @t129 (=> (and @t128 @t132 @t131) (=> @t122 @t130))))) % 0.35/0.67 (assume @p46 (forall (@list @t23 @t22 @t30 @t124 @t29 @t8 @t64) (=> @t129 (=> (and @t128 @t132 @t133) @t123)))) % 0.35/0.67 (assume @p47 (forall (@list @t30 @t8 @t64 @t134 @t29) (=> @t142 (=> (and @t137 @t136) (=> @t122 @t135))))) % 0.35/0.67 (assume @p48 (forall (@list @t29 @t30 @t134 @t8 @t64) (=> @t142 (=> (and @t137 @t143) @t123)))) % 0.35/0.67 (assume @p49 (forall (@list @t8 @t64) (=> (= @t121 @t64) (or (exists @t82 (and @t28 @t120)) (exists (@list @t23 @t22 @t21) (and @t25 @t120)) (exists (@list @t29 @t23 @t22 @t30 @t124) (and @t129 @t128 @t127 @t126)) (exists (@list @t22 @t124 @t23 @t29 @t30) (and @t129 @t128 @t132 @t131 @t130)) (exists (@list @t23 @t22 @t30 @t124 @t29) (and @t129 @t128 @t132 @t133 @t120)) (exists (@list @t30 @t134 @t29) (and @t32 @t141 @t137 @t136 @t135)) (exists (@list @t29 @t30 @t134) (and @t32 @t141 @t137 @t143 @t120)))))) % 0.35/0.67 (assume @p50 (forall (@list @t9 @t7 @t145 @t144) (and (=> @t146 @t147) (=> @t147 @t146)))) % 0.35/0.67 (assume @p51 (forall (@list @t75 @t23 @t44) (=> @t148 (tptp.vtcheck @t75 @t27 @t44)))) % 0.35/0.67 (assume @p52 (forall (@list @t75 @t23 @t21 @t22 @t44) (=> @t150 (tptp.vtcheck @t75 @t24 @t149)))) % 0.35/0.67 (assume @p53 (forall (@list @t22 @t75 @t30 @t29 @t44) (=> (and @t152 @t151) (tptp.vtcheck @t75 @t31 @t44)))) % 0.35/0.67 (assume @p54 (forall (@list @t21 @t44 @t75) (=> @t155 (or (exists @t82 (and (= @t21 @t27) @t148)) (exists (@list @t23 @t29 @t154 @t153) (and (= @t21 (tptp.vabs @t23 @t154 @t29)) (= @t44 (tptp.varrow @t154 @t153)) (tptp.vtcheck (tptp.vbind @t23 @t154 @t75) @t29 @t153))) (exists (@list @t30 @t29 @t22) (and (= @t21 @t31) @t152 @t151)))))) % 0.35/0.67 (assume @p55 (forall @t156 (tptp.valphaEquivalent @t21 @t21))) % 0.35/0.67 (assume @p56 (forall (@list @t29 @t30) (=> @t157 (tptp.valphaEquivalent @t29 @t30)))) % 0.35/0.67 (assume @p57 (forall (@list @t29 @t30 @t158) (=> (and @t157 (tptp.valphaEquivalent @t29 @t158)) (tptp.valphaEquivalent @t30 @t158)))) % 0.35/0.67 (assume @p58 (forall (@list @t22 @t23 @t73 @t21) (=> @t112 (tptp.valphaEquivalent @t24 (tptp.vabs @t73 @t22 (tptp.vsubst @t23 @t94 @t21)))))) % 0.35/0.67 (assume @p59 (forall (@list @t21 @t75 @t30 @t44) (=> (and @t155 @t159) (tptp.vtcheck @t75 @t30 @t44)))) % 0.35/0.67 (assume @p60 (forall (@list @t21 @t23 @t30) (=> (and @t160 @t159) (not (tptp.visFreeVar @t23 @t30))))) % 0.35/0.67 (assume @p61 (forall @t161 (=> (and (= @t79 tptp.vnoType) @t155) @t150))) % 0.35/0.67 (assume @p62 (forall @t161 (=> (and @t160 @t150) @t155))) % 0.35/0.67 (assume @p63 (forall @t161 (=> (and @t160 @t155) @t150))) % 0.35/0.67 (assume @p64 (forall (@list @t44 @t75 @t23 @t21 @t73 @t22 @t30 @t153) (=> (and @t81 @t112 @t155 (tptp.vtcheck (tptp.vbind @t23 @t44 @t75) @t162 @t153)) (tptp.vtcheck @t75 (tptp.vsubst @t23 @t21 @t162) @t153)))) % 0.35/0.67 (assume @p65 @t166) % 0.35/0.67 (assume @p66 true) % 0.35/0.67 (step @p67 :rule evaluate :args ((= true false))) % 0.35/0.67 (step @p68 :rule alpha_equiv :args (@t170 @t171 (@list (@var "BOUND_VARIABLE_8460" $$unsorted) (@var "BOUND_VARIABLE_8462" $$unsorted) (@var "BOUND_VARIABLE_8464" $$unsorted)))) % 0.35/0.67 (step @p69 :rule alpha_equiv :args (@t174 @t171 (@list (@var "BOUND_VARIABLE_8444" $$unsorted) (@var "BOUND_VARIABLE_8446" $$unsorted) (@var "BOUND_VARIABLE_8448" $$unsorted)))) % 0.35/0.67 (step @p70 :rule nary_cong :premises (@p69 @p68) :args (@t175)) % 0.35/0.67 (step @p71 :rule quant-miniscope-and :args ((= (forall @t169 @t176) @t175))) % 0.35/0.67 (step @p72 :rule trans :premises (@p71 @p70)) % 0.35/0.67 (step @p73 :rule aci_norm :args ((= (or false @t176) @t176))) % 0.35/0.67 (step @p74 :rule refl :args (@t176)) % 0.35/0.67 (step @p75 :rule evaluate :args ((not true))) % 0.35/0.67 (step @p76 :rule eq-refl :args (@t31)) % 0.35/0.67 (step @p77 :rule cong :premises (@p76) :args (@t177)) % 0.35/0.67 (step @p78 :rule trans :premises (@p77 @p75)) % 0.35/0.67 (step @p79 :rule nary_cong :premises (@p78 @p74) :args (@t178)) % 0.35/0.67 (step @p80 :rule trans :premises (@p79 @p73)) % 0.35/0.67 (step @p81 :rule cong :premises (@p80) :args ((forall @t169 @t178))) % 0.35/0.67 (step @p82 :rule trans :premises (@p81 @p72)) % 0.35/0.67 (step @p83 :rule quant-var-elim-eq :args ((= (forall @t116 @t183) @t178))) % 0.35/0.67 (step @p84 :rule aci_norm :args ((= @t184 @t183))) % 0.35/0.67 (step @p85 :rule cong :premises (@p84) :args (@t185)) % 0.35/0.67 (step @p86 :rule trans :premises (@p85 @p83)) % 0.35/0.67 (step @p87 :rule cong :premises (@p86) :args (@t186)) % 0.35/0.67 (step @p88 :rule quant-merge-prenex :args ((= @t186 @t187))) % 0.35/0.67 (step @p89 :rule symm :premises (@p88)) % 0.35/0.67 (step @p90 :rule quant_var_reordering :args ((= (forall @t188 @t184) @t187))) % 0.35/0.67 (step @p91 :rule trans :premises (@p90 @p89 @p87)) % 0.35/0.67 (step @p92 :rule trans :premises (@p91 @p82)) % 0.35/0.67 (step @p93 :rule aci_norm :args ((= (or false @t182 @t181) @t184))) % 0.35/0.67 (step @p94 :rule refl :args (@t181)) % 0.35/0.67 (step @p95 :rule refl :args (@t182)) % 0.35/0.67 (step @p96 :rule eq-refl :args (@t33)) % 0.35/0.67 (step @p97 :rule cong :premises (@p96) :args (@t189)) % 0.35/0.67 (step @p98 :rule trans :premises (@p97 @p75)) % 0.35/0.67 (step @p99 :rule nary_cong :premises (@p98 @p95 @p94) :args (@t190)) % 0.35/0.67 (step @p100 :rule trans :premises (@p99 @p93)) % 0.35/0.67 (step @p101 :rule cong :premises (@p100) :args ((forall @t188 @t190))) % 0.35/0.67 (step @p102 :rule trans :premises (@p101 @p92)) % 0.35/0.67 (step @p103 :rule quant-var-elim-eq :args ((= (forall @t196 @t195) @t190))) % 0.35/0.67 (step @p104 :rule aci_norm :args ((= @t197 @t195))) % 0.35/0.67 (step @p105 :rule cong :premises (@p104) :args (@t198)) % 0.35/0.67 (step @p106 :rule trans :premises (@p105 @p103)) % 0.35/0.67 (step @p107 :rule cong :premises (@p106) :args (@t199)) % 0.35/0.67 (step @p108 :rule quant-merge-prenex :args ((= @t199 @t200))) % 0.35/0.67 (step @p109 :rule symm :premises (@p108)) % 0.35/0.67 (step @p110 :rule quant_var_reordering :args ((= (forall @t50 @t197) @t200))) % 0.35/0.67 (step @p111 :rule trans :premises (@p110 @p109 @p107)) % 0.35/0.67 (step @p112 :rule trans :premises (@p111 @p102)) % 0.35/0.67 (step @p113 :rule aci_norm :args ((= (or (or @t194 @t182) @t193) @t197))) % 0.35/0.67 (step @p114 :rule aci_norm :args ((= (or @t191 @t47) @t192))) % 0.35/0.67 (step @p115 :rule bool-impl-elim :args (@t35 @t47)) % 0.35/0.67 (step @p116 :rule trans :premises (@p115 @p114)) % 0.35/0.67 (step @p117 :rule refl :args (@t35)) % 0.35/0.67 (step @p118 :rule bool-or-de-morgan :args (@t46 @t45 false)) % 0.35/0.67 (step @p119 :rule nary_cong :premises (@p118 @p117) :args ((or (not @t47) @t35))) % 0.35/0.67 (step @p120 :rule bool-impl-elim :args (@t47 @t35)) % 0.35/0.67 (step @p121 :rule trans :premises (@p120 @p119)) % 0.35/0.67 (step @p122 :rule nary_cong :premises (@p121 @p116) :args (@t48)) % 0.35/0.67 (step @p123 :rule bool-and-de-morgan :args (@t37 @t32 true)) % 0.35/0.67 (step @p124 :rule nary_cong :premises (@p123 @p122) :args ((or (not @t49) @t48))) % 0.35/0.67 (step @p125 :rule trans :premises (@p124 @p113)) % 0.35/0.67 (step @p126 :rule bool-impl-elim :args (@t49 @t48)) % 0.35/0.67 (step @p127 :rule trans :premises (@p126 @p125)) % 0.35/0.67 (step @p128 :rule cong :premises (@p127) :args (@t51)) % 0.35/0.67 (step @p129 :rule trans :premises (@p128 @p112)) % 0.35/0.67 (step @p130 :rule eq_resolve :premises (@p12 @p129)) % 0.35/0.67 (step @p131 :rule and_elim :premises (@p130) :args (0)) % 0.35/0.67 (step @p132 :rule instantiate :premises (@p131) :args ((@list @t206 @t208 @t205))) % 0.35/0.67 (step @p133 :rule aci_norm :args ((= (or false @t209) @t209))) % 0.35/0.67 (step @p134 :rule refl :args (@t209)) % 0.35/0.67 (step @p135 :rule eq-refl :args (@t88)) % 0.35/0.67 (step @p136 :rule cong :premises (@p135) :args (@t210)) % 0.35/0.67 (step @p137 :rule trans :premises (@p136 @p75)) % 0.35/0.67 (step @p138 :rule nary_cong :premises (@p137 @p134) :args (@t211)) % 0.35/0.67 (step @p139 :rule trans :premises (@p138 @p133)) % 0.35/0.67 (step @p140 :rule cong :premises (@p139) :args ((forall @t156 @t211))) % 0.35/0.67 (step @p141 :rule quant-var-elim-eq :args ((= (forall @t215 @t214) @t211))) % 0.35/0.67 (step @p142 :rule aci_norm :args ((= @t216 @t214))) % 0.35/0.67 (step @p143 :rule cong :premises (@p142) :args (@t217)) % 0.35/0.67 (step @p144 :rule trans :premises (@p143 @p141)) % 0.35/0.67 (step @p145 :rule cong :premises (@p144) :args (@t218)) % 0.35/0.67 (step @p146 :rule quant-merge-prenex :args ((= @t218 @t219))) % 0.35/0.67 (step @p147 :rule symm :premises (@p146)) % 0.35/0.67 (step @p148 :rule quant_var_reordering :args ((= (forall @t90 @t216) @t219))) % 0.35/0.67 (step @p149 :rule trans :premises (@p148 @p147 @p145)) % 0.35/0.67 (step @p150 :rule trans :premises (@p149 @p140)) % 0.35/0.67 (step @p151 :rule bool-impl-elim :args (@t212 @t87)) % 0.35/0.67 (step @p152 :rule cong :premises (@p151) :args ((forall @t90 (=> @t212 @t87)))) % 0.35/0.67 (step @p153 :rule trans :premises (@p152 @p150)) % 0.35/0.67 (step @p154 :rule refl :args (@t87)) % 0.35/0.67 (step @p155 :rule eq-symm :args (@t88 @t33)) % 0.35/0.67 (step @p156 :rule cong :premises (@p155 @p154) :args (@t89)) % 0.35/0.67 (step @p157 :rule cong :premises (@p156) :args (@t91)) % 0.35/0.67 (step @p158 :rule trans :premises (@p157 @p153)) % 0.35/0.67 (step @p159 :rule eq_resolve :premises (@p28 @p158)) % 0.35/0.67 (step @p160 :rule instantiate :premises (@p159) :args ((@list @t207))) % 0.35/0.67 (step @p161 :rule cnf_or_pos :args (@t223)) % 0.35/0.67 (step @p162 :rule reordering :premises (@p161) :args ((or @t220 @t222 (not @t223)))) % 0.35/0.67 (step @p163 :rule chain_m_resolution :premises (@p162 @p160 @p132) :args (@t222 (@list true false) (@list @t220 @t223))) % 0.35/0.67 (step @p164 :rule cnf_and_pos :args (@t222 1)) % 0.35/0.67 (step @p165 :rule reordering :premises (@p164) :args ((or @t221 (not @t222)))) % 0.35/0.67 (step @p166 :rule chain_m_resolution :premises (@p165 @p163) :args (@t221 (@list false) (@list @t222))) % 0.35/0.67 (step @p167 :rule false_intro :premises (@p166)) % 0.35/0.67 (step @p168 :rule refl :args (@t205)) % 0.35/0.67 (step @p169 :rule aci_norm :args ((= (or false @t201) @t201))) % 0.35/0.67 (step @p170 :rule refl :args (@t201)) % 0.35/0.67 (step @p171 :rule eq-refl :args (@t108)) % 0.35/0.67 (step @p172 :rule cong :premises (@p171) :args (@t224)) % 0.35/0.67 (step @p173 :rule trans :premises (@p172 @p75)) % 0.35/0.67 (step @p174 :rule nary_cong :premises (@p173 @p170) :args (@t225)) % 0.35/0.67 (step @p175 :rule trans :premises (@p174 @p169)) % 0.35/0.67 (step @p176 :rule cong :premises (@p175) :args ((forall @t202 @t225))) % 0.35/0.67 (step @p177 :rule quant-var-elim-eq :args ((= (forall @t228 @t227) @t225))) % 0.35/0.67 (step @p178 :rule aci_norm :args ((= @t229 @t227))) % 0.35/0.67 (step @p179 :rule cong :premises (@p178) :args (@t230)) % 0.35/0.67 (step @p180 :rule trans :premises (@p179 @p177)) % 0.35/0.67 (step @p181 :rule cong :premises (@p180) :args (@t231)) % 0.35/0.67 (step @p182 :rule quant-merge-prenex :args ((= @t231 (forall @t164 @t229)))) % 0.35/0.67 (step @p183 :rule symm :premises (@p182)) % 0.35/0.67 (step @p184 :rule trans :premises (@p183 @p181)) % 0.35/0.67 (step @p185 :rule trans :premises (@p184 @p176)) % 0.35/0.67 (step @p186 :rule bool-impl-elim :args (@t109 @t163)) % 0.35/0.67 (step @p187 :rule cong :premises (@p186) :args (@t165)) % 0.35/0.67 (step @p188 :rule trans :premises (@p187 @p185)) % 0.35/0.67 (step @p189 :rule cong :premises (@p188) :args (@t166)) % 0.35/0.67 (step @p190 :rule eq_resolve :premises (@p65 @p189)) % 0.35/0.67 (step @p191 :rule refl :args (@t232)) % 0.35/0.67 (step @p192 :rule bool-double-not-elim :args (@t203)) % 0.35/0.67 (step @p193 :rule nary_cong :premises (@p192 @p191) :args ((or (not @t233) @t232))) % 0.35/0.67 (step @p194 :rule bool-double-not-elim :args (@t232)) % 0.35/0.67 (step @p195 :rule refl :args (@t233)) % 0.35/0.67 (step @p196 :rule cong :premises (@p195 @p194) :args ((=> @t233 @t234))) % 0.35/0.67 (assume-push @p286 @t233) % 0.35/0.67 (step @p198 :rule skolemize :premises (@p190)) % 0.35/0.67 (step-pop @p287 :rule scope :premises (@p198)) % 0.35/0.67 (step @p199 :rule process_scope :premises (@p287) :args (@t234)) % 0.35/0.67 (step @p201 :rule eq_resolve :premises (@p199 @p196)) % 0.35/0.67 (step @p202 :rule implies_elim :premises (@p201)) % 0.35/0.67 (step @p203 :rule eq_resolve :premises (@p202 @p193)) % 0.35/0.67 (step @p204 :rule chain_m_resolution :premises (@p203 @p190) :args (@t232 (@list true) (@list @t203))) % 0.35/0.67 (step @p205 :rule cong :premises (@p204 @p168) :args ((tptp.visFreeVar @t204 @t205))) % 0.35/0.67 (step @p206 :rule refl :args (@t237)) % 0.35/0.67 (step @p207 :rule aci_norm :args ((= (or false @t239) @t239))) % 0.35/0.67 (step @p208 :rule refl :args (@t239)) % 0.35/0.67 (step @p209 :rule eq-refl :args (@t238)) % 0.35/0.67 (step @p210 :rule cong :premises (@p209) :args (@t240)) % 0.35/0.67 (step @p211 :rule trans :premises (@p210 @p75)) % 0.35/0.67 (step @p212 :rule nary_cong :premises (@p211 @p208) :args (@t241)) % 0.35/0.67 (step @p213 :rule trans :premises (@p212 @p207)) % 0.35/0.67 (step @p214 :rule cong :premises (@p213) :args ((forall @t242 @t241))) % 0.35/0.67 (step @p215 :rule quant-var-elim-eq :args ((= (forall @t247 @t246) @t241))) % 0.35/0.67 (step @p216 :rule aci_norm :args ((= @t248 @t246))) % 0.35/0.67 (step @p217 :rule cong :premises (@p216) :args (@t249)) % 0.35/0.67 (step @p218 :rule trans :premises (@p217 @p215)) % 0.35/0.67 (step @p219 :rule cong :premises (@p218) :args (@t250)) % 0.35/0.67 (step @p220 :rule quant-merge-prenex :args ((= @t250 @t251))) % 0.35/0.67 (step @p221 :rule symm :premises (@p220)) % 0.35/0.67 (step @p222 :rule quant_var_reordering :args ((= @t252 @t251))) % 0.35/0.67 (step @p223 :rule trans :premises (@p222 @p221 @p219)) % 0.35/0.67 (step @p224 :rule trans :premises (@p223 @p214)) % 0.35/0.67 (step @p225 :rule nary_cong :premises (@p224 @p206) :args ((and @t252 @t237))) % 0.35/0.67 (step @p226 :rule alpha_equiv :args (@t256 @t257 (@list @t236 @t235))) % 0.35/0.67 (step @p227 :rule alpha_equiv :args (@t259 @t257 (@list @t243 @t238))) % 0.35/0.67 (step @p228 :rule nary_cong :premises (@p227 @p226) :args (@t260)) % 0.35/0.67 (step @p229 :rule quant-miniscope-and :args ((= (forall @t255 @t261) @t260))) % 0.35/0.67 (step @p230 :rule trans :premises (@p229 @p228)) % 0.35/0.67 (step @p231 :rule trans :premises (@p230 @p225)) % 0.35/0.67 (step @p232 :rule aci_norm :args ((= (or false @t261) @t261))) % 0.35/0.67 (step @p233 :rule refl :args (@t261)) % 0.35/0.67 (step @p234 :rule eq-refl :args (@t27)) % 0.35/0.67 (step @p235 :rule cong :premises (@p234) :args (@t262)) % 0.35/0.67 (step @p236 :rule trans :premises (@p235 @p75)) % 0.35/0.67 (step @p237 :rule nary_cong :premises (@p236 @p233) :args (@t263)) % 0.35/0.67 (step @p238 :rule trans :premises (@p237 @p232)) % 0.35/0.67 (step @p239 :rule cong :premises (@p238) :args ((forall @t255 @t263))) % 0.35/0.67 (step @p240 :rule trans :premises (@p239 @p231)) % 0.35/0.67 (step @p241 :rule quant-var-elim-eq :args ((= (forall @t116 @t266) @t263))) % 0.35/0.67 (step @p242 :rule aci_norm :args ((= @t267 @t266))) % 0.35/0.67 (step @p243 :rule cong :premises (@p242) :args (@t268)) % 0.35/0.67 (step @p244 :rule trans :premises (@p243 @p241)) % 0.35/0.67 (step @p245 :rule cong :premises (@p244) :args (@t269)) % 0.35/0.67 (step @p246 :rule quant-merge-prenex :args ((= @t269 @t270))) % 0.35/0.67 (step @p247 :rule symm :premises (@p246)) % 0.35/0.67 (step @p248 :rule quant_var_reordering :args ((= (forall @t271 @t267) @t270))) % 0.35/0.67 (step @p249 :rule trans :premises (@p248 @p247 @p245)) % 0.35/0.67 (step @p250 :rule trans :premises (@p249 @p240)) % 0.35/0.67 (step @p251 :rule aci_norm :args ((= (or false @t265 @t264) @t267))) % 0.35/0.67 (step @p252 :rule refl :args (@t264)) % 0.35/0.67 (step @p253 :rule refl :args (@t265)) % 0.35/0.67 (step @p254 :rule nary_cong :premises (@p98 @p253 @p252) :args (@t272)) % 0.35/0.67 (step @p255 :rule trans :premises (@p254 @p251)) % 0.35/0.67 (step @p256 :rule cong :premises (@p255) :args ((forall @t271 @t272))) % 0.35/0.67 (step @p257 :rule trans :premises (@p256 @p250)) % 0.35/0.67 (step @p258 :rule quant-var-elim-eq :args ((= (forall @t196 @t274) @t272))) % 0.35/0.67 (step @p259 :rule aci_norm :args ((= @t275 @t274))) % 0.35/0.67 (step @p260 :rule cong :premises (@p259) :args (@t276)) % 0.35/0.67 (step @p261 :rule trans :premises (@p260 @p258)) % 0.35/0.67 (step @p262 :rule cong :premises (@p261) :args (@t277)) % 0.35/0.67 (step @p263 :rule quant-merge-prenex :args ((= @t277 @t278))) % 0.35/0.67 (step @p264 :rule symm :premises (@p263)) % 0.35/0.67 (step @p265 :rule quant_var_reordering :args ((= (forall @t39 @t275) @t278))) % 0.35/0.67 (step @p266 :rule trans :premises (@p265 @p264 @p262)) % 0.35/0.67 (step @p267 :rule trans :premises (@p266 @p257)) % 0.35/0.67 (step @p268 :rule aci_norm :args ((= (or (or @t194 @t265) @t273) @t275))) % 0.35/0.67 (step @p269 :rule bool-impl-elim :args (@t35 @t34)) % 0.35/0.67 (step @p270 :rule bool-impl-elim :args (@t34 @t35)) % 0.35/0.67 (step @p271 :rule nary_cong :premises (@p270 @p269) :args (@t36)) % 0.35/0.67 (step @p272 :rule bool-and-de-morgan :args (@t37 @t28 true)) % 0.35/0.67 (step @p273 :rule nary_cong :premises (@p272 @p271) :args ((or (not @t38) @t36))) % 0.35/0.67 (step @p274 :rule trans :premises (@p273 @p268)) % 0.35/0.67 (step @p275 :rule bool-impl-elim :args (@t38 @t36)) % 0.35/0.67 (step @p276 :rule trans :premises (@p275 @p274)) % 0.35/0.67 (step @p277 :rule cong :premises (@p276) :args (@t40)) % 0.35/0.67 (step @p278 :rule trans :premises (@p277 @p267)) % 0.35/0.67 (step @p279 :rule eq_resolve :premises (@p10 @p278)) % 0.35/0.67 (step @p280 :rule and_elim :premises (@p279) :args (0)) % 0.35/0.67 (step @p281 :rule instantiate :premises (@p280) :args ((@list @t204))) % 0.35/0.67 (step @p282 :rule true_intro :premises (@p281)) % 0.35/0.67 (step @p283 :rule symm :premises (@p282)) % 0.35/0.67 (step @p284 :rule trans :premises (@p283 @p205 @p167)) % 0.35/0.67 (step @p285 false :rule eq_resolve :premises (@p284 @p67)) % 0.35/0.67 ) % 0.35/0.67 % SZS output end Proof % 0.35/0.67 % cvc5 exiting %------------------------------------------------------------------------------