%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : COM138+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 : 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 0.44s 0.68s % Output : Proof 0.44s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : COM138+1 : TPTP v9.2.1. Released v6.4.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n010.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 20:30:25 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.44/0.68 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.44/0.68 % SZS status Theorem % 0.44/0.68 % SZS output start Proof % 0.44/0.68 ( % 0.44/0.68 (declare-sort $$unsorted 0) % 0.44/0.68 (declare-const tptp.varrow (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.68 (declare-const tptp.vgetSomeExp (-> $$unsorted $$unsorted)) % 0.44/0.68 (declare-const tptp.vsomeExp (-> $$unsorted $$unsorted)) % 0.44/0.68 (declare-const tptp.vnoExp $$unsorted) % 0.44/0.68 (declare-const tptp.vsubst (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.44/0.68 (declare-const tptp.vgensym (-> $$unsorted $$unsorted)) % 0.44/0.68 (declare-const tptp.vapp (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.68 (declare-const tptp.visValue (-> $$unsorted Bool)) % 0.44/0.68 (declare-const tptp.vempty $$unsorted) % 0.44/0.68 (declare-const tptp.vbind (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.44/0.68 (declare-const tptp.vnoType $$unsorted) % 0.44/0.68 (declare-const tptp.visFreeVar (-> $$unsorted $$unsorted Bool)) % 0.44/0.68 (declare-const tptp.vtcheck (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.44/0.68 (declare-const tptp.vsomeType (-> $$unsorted $$unsorted)) % 0.44/0.68 (declare-const tptp.visSomeExp (-> $$unsorted Bool)) % 0.44/0.68 (declare-const tptp.vvar (-> $$unsorted $$unsorted)) % 0.44/0.68 (declare-const tptp.vlookup (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.68 (declare-const tptp.vabs (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.44/0.68 (declare-const tptp.visSomeType (-> $$unsorted Bool)) % 0.44/0.68 (declare-const tptp.vreduce (-> $$unsorted $$unsorted)) % 0.44/0.68 (declare-const tptp.vgetSomeType (-> $$unsorted $$unsorted)) % 0.44/0.68 (define @t1 () (@var "VVar1" $$unsorted)) % 0.44/0.68 (define @t2 () (@var "VVar0" $$unsorted)) % 0.44/0.68 (define @t3 () (tptp.vvar @t2)) % 0.44/0.68 (define @t4 () (= @t3 (tptp.vvar @t1))) % 0.44/0.68 (define @t5 () (= @t2 @t1)) % 0.44/0.68 (define @t6 () (and (=> @t4 @t5) (=> @t5 @t4))) % 0.44/0.68 (define @t7 () (@list @t2 @t1)) % 0.44/0.68 (define @t8 () (forall @t7 @t6)) % 0.44/0.68 (define @t9 () (@var "VExp1" $$unsorted)) % 0.44/0.68 (define @t10 () (@var "VTyp1" $$unsorted)) % 0.44/0.68 (define @t11 () (@var "VExp0" $$unsorted)) % 0.44/0.68 (define @t12 () (@var "VTyp0" $$unsorted)) % 0.44/0.68 (define @t13 () (tptp.vabs @t2 @t12 @t11)) % 0.44/0.68 (define @t14 () (= @t13 (tptp.vabs @t1 @t10 @t9))) % 0.44/0.68 (define @t15 () (= @t11 @t9)) % 0.44/0.68 (define @t16 () (= @t12 @t10)) % 0.44/0.68 (define @t17 () (and @t5 @t16 @t15)) % 0.44/0.68 (define @t18 () (@var "VExp3" $$unsorted)) % 0.44/0.68 (define @t19 () (@var "VExp2" $$unsorted)) % 0.44/0.68 (define @t20 () (tptp.vapp @t11 @t9)) % 0.44/0.68 (define @t21 () (= @t20 (tptp.vapp @t19 @t18))) % 0.44/0.68 (define @t22 () (and (= @t11 @t19) (= @t9 @t18))) % 0.44/0.68 (define @t23 () (tptp.visValue @t11)) % 0.44/0.68 (define @t24 () (@var "Ve" $$unsorted)) % 0.44/0.68 (define @t25 () (@var "VS" $$unsorted)) % 0.44/0.68 (define @t26 () (@var "Vx" $$unsorted)) % 0.44/0.68 (define @t27 () (tptp.vabs @t26 @t25 @t24)) % 0.44/0.68 (define @t28 () (= @t11 @t27)) % 0.44/0.68 (define @t29 () (@list @t26 @t25 @t24 @t11)) % 0.44/0.68 (define @t30 () (forall @t29 (=> @t28 @t23))) % 0.44/0.68 (define @t31 () (not @t23)) % 0.44/0.68 (define @t32 () (tptp.vvar @t26)) % 0.44/0.68 (define @t33 () (= @t11 @t32)) % 0.44/0.68 (define @t34 () (@list @t26 @t11)) % 0.44/0.68 (define @t35 () (forall @t34 (=> @t33 @t31))) % 0.44/0.68 (define @t36 () (@var "Ve2" $$unsorted)) % 0.44/0.68 (define @t37 () (@var "Ve1" $$unsorted)) % 0.44/0.68 (define @t38 () (tptp.vapp @t37 @t36)) % 0.44/0.68 (define @t39 () (= @t11 @t38)) % 0.44/0.68 (define @t40 () (@var "Vv" $$unsorted)) % 0.44/0.68 (define @t41 () (= @t26 @t40)) % 0.44/0.68 (define @t42 () (tptp.visFreeVar @t2 @t11)) % 0.44/0.68 (define @t43 () (and (=> @t41 @t42) (=> @t42 @t41))) % 0.44/0.68 (define @t44 () (= @t2 @t40)) % 0.44/0.68 (define @t45 () (and @t44 @t33)) % 0.44/0.68 (define @t46 () (@list @t2 @t11 @t26 @t40)) % 0.44/0.68 (define @t47 () (forall @t46 (=> @t45 @t43))) % 0.44/0.68 (define @t48 () (tptp.visFreeVar @t40 @t24)) % 0.44/0.68 (define @t49 () (not @t41)) % 0.44/0.68 (define @t50 () (and @t49 @t48)) % 0.44/0.68 (define @t51 () (@var "VT" $$unsorted)) % 0.44/0.68 (define @t52 () (or (tptp.visFreeVar @t40 @t37) (tptp.visFreeVar @t40 @t36))) % 0.44/0.68 (define @t53 () (= tptp.vempty tptp.vempty)) % 0.44/0.68 (define @t54 () (@var "VCtx1" $$unsorted)) % 0.44/0.68 (define @t55 () (@var "VCtx0" $$unsorted)) % 0.44/0.68 (define @t56 () (tptp.vbind @t2 @t12 @t55)) % 0.44/0.68 (define @t57 () (= @t56 (tptp.vbind @t1 @t10 @t54))) % 0.44/0.68 (define @t58 () (and @t5 @t16 (= @t55 @t54))) % 0.44/0.68 (define @t59 () (= tptp.vnoType tptp.vnoType)) % 0.44/0.68 (define @t60 () (tptp.vsomeType @t12)) % 0.44/0.68 (define @t61 () (= @t60 (tptp.vsomeType @t10))) % 0.44/0.68 (define @t62 () (@var "VOptTyp0" $$unsorted)) % 0.44/0.68 (define @t63 () (tptp.visSomeType @t62)) % 0.44/0.68 (define @t64 () (= @t62 (tptp.vsomeType @t24))) % 0.44/0.68 (define @t65 () (@var "RESULT" $$unsorted)) % 0.44/0.68 (define @t66 () (= @t65 @t24)) % 0.44/0.68 (define @t67 () (= @t65 tptp.vnoType)) % 0.44/0.68 (define @t68 () (tptp.vlookup @t2 @t55)) % 0.44/0.68 (define @t69 () (= @t65 @t68)) % 0.44/0.68 (define @t70 () (= @t55 tptp.vempty)) % 0.44/0.68 (define @t71 () (= @t2 @t26)) % 0.44/0.68 (define @t72 () (@var "VTy" $$unsorted)) % 0.44/0.68 (define @t73 () (= @t65 (tptp.vsomeType @t72))) % 0.44/0.68 (define @t74 () (@var "Vy" $$unsorted)) % 0.44/0.68 (define @t75 () (= @t26 @t74)) % 0.44/0.68 (define @t76 () (@var "VC" $$unsorted)) % 0.44/0.68 (define @t77 () (tptp.vbind @t74 @t72 @t76)) % 0.44/0.68 (define @t78 () (= @t55 @t77)) % 0.44/0.68 (define @t79 () (and @t71 @t78)) % 0.44/0.68 (define @t80 () (tptp.vlookup @t26 @t76)) % 0.44/0.68 (define @t81 () (= @t65 @t80)) % 0.44/0.68 (define @t82 () (=> @t69 @t81)) % 0.44/0.68 (define @t83 () (not @t75)) % 0.44/0.68 (define @t84 () (=> @t83 @t82)) % 0.44/0.68 (define @t85 () (@list @t72 @t74 @t2 @t55 @t65 @t26 @t76)) % 0.44/0.68 (define @t86 () (forall @t85 (=> @t79 @t84))) % 0.44/0.68 (define @t87 () (@list @t72 @t74 @t26 @t76)) % 0.44/0.68 (define @t88 () (@list @t26)) % 0.44/0.68 (define @t89 () (@var "VTx" $$unsorted)) % 0.44/0.68 (define @t90 () (tptp.vbind @t26 @t89 @t76)) % 0.44/0.68 (define @t91 () (tptp.vtcheck (tptp.vbind @t26 @t89 @t77) @t24 @t51)) % 0.44/0.68 (define @t92 () (@list @t74 @t72 @t26 @t89 @t76 @t24 @t51)) % 0.44/0.68 (define @t93 () (tptp.vsubst @t2 @t11 @t9)) % 0.44/0.68 (define @t94 () (= @t65 @t93)) % 0.44/0.68 (define @t95 () (tptp.vvar @t74)) % 0.44/0.68 (define @t96 () (= @t9 @t95)) % 0.44/0.68 (define @t97 () (= @t11 @t24)) % 0.44/0.68 (define @t98 () (and @t71 @t97 @t96)) % 0.44/0.68 (define @t99 () (= @t65 @t95)) % 0.44/0.68 (define @t100 () (tptp.vsubst @t26 @t24 @t37)) % 0.44/0.68 (define @t101 () (= @t65 (tptp.vapp @t100 (tptp.vsubst @t26 @t24 @t36)))) % 0.44/0.68 (define @t102 () (= @t9 @t38)) % 0.44/0.68 (define @t103 () (tptp.vabs @t74 @t51 @t37)) % 0.44/0.68 (define @t104 () (= @t65 @t103)) % 0.44/0.68 (define @t105 () (= @t9 @t103)) % 0.44/0.68 (define @t106 () (and @t71 @t97 @t105)) % 0.44/0.68 (define @t107 () (@var "Vfresh" $$unsorted)) % 0.44/0.68 (define @t108 () (= @t65 (tptp.vsubst @t26 @t24 (tptp.vabs @t107 @t51 (tptp.vsubst @t74 (tptp.vvar @t107) @t37))))) % 0.44/0.68 (define @t109 () (= @t107 (tptp.vgensym (tptp.vapp (tptp.vapp @t24 @t37) @t32)))) % 0.44/0.68 (define @t110 () (tptp.visFreeVar @t74 @t24)) % 0.44/0.68 (define @t111 () (= @t65 (tptp.vabs @t74 @t51 @t100))) % 0.44/0.68 (define @t112 () (not @t110)) % 0.44/0.68 (define @t113 () (= tptp.vnoExp tptp.vnoExp)) % 0.44/0.68 (define @t114 () (tptp.vsomeExp @t11)) % 0.44/0.68 (define @t115 () (= @t114 (tptp.vsomeExp @t9))) % 0.44/0.68 (define @t116 () (@list @t11)) % 0.44/0.68 (define @t117 () (@var "VOptExp0" $$unsorted)) % 0.44/0.68 (define @t118 () (tptp.visSomeExp @t117)) % 0.44/0.68 (define @t119 () (= @t117 (tptp.vsomeExp @t24))) % 0.44/0.68 (define @t120 () (= @t65 tptp.vnoExp)) % 0.44/0.68 (define @t121 () (tptp.vreduce @t11)) % 0.44/0.68 (define @t122 () (= @t65 @t121)) % 0.44/0.68 (define @t123 () (=> @t122 @t120)) % 0.44/0.68 (define @t124 () (@var "Ve2red" $$unsorted)) % 0.44/0.68 (define @t125 () (tptp.vabs @t26 @t25 @t37)) % 0.44/0.68 (define @t126 () (= @t65 (tptp.vsomeExp (tptp.vapp @t125 (tptp.vgetSomeExp @t124))))) % 0.44/0.68 (define @t127 () (tptp.visSomeExp @t124)) % 0.44/0.68 (define @t128 () (= @t124 (tptp.vreduce @t36))) % 0.44/0.68 (define @t129 () (= @t11 (tptp.vapp @t125 @t36))) % 0.44/0.68 (define @t130 () (= @t65 (tptp.vsomeExp (tptp.vsubst @t26 @t36 @t37)))) % 0.44/0.68 (define @t131 () (tptp.visValue @t36)) % 0.44/0.68 (define @t132 () (not @t127)) % 0.44/0.68 (define @t133 () (not @t131)) % 0.44/0.68 (define @t134 () (@var "Ve1red" $$unsorted)) % 0.44/0.68 (define @t135 () (= @t65 (tptp.vsomeExp (tptp.vapp (tptp.vgetSomeExp @t134) @t36)))) % 0.44/0.68 (define @t136 () (tptp.visSomeExp @t134)) % 0.44/0.68 (define @t137 () (= @t134 (tptp.vreduce @t37))) % 0.44/0.68 (define @t138 () (@var "VVe10" $$unsorted)) % 0.44/0.68 (define @t139 () (@var "VVS0" $$unsorted)) % 0.44/0.68 (define @t140 () (@var "VVx0" $$unsorted)) % 0.44/0.68 (define @t141 () (forall (@list @t140 @t139 @t138) (not (= @t37 (tptp.vabs @t140 @t139 @t138))))) % 0.44/0.68 (define @t142 () (and @t39 @t141)) % 0.44/0.68 (define @t143 () (not @t136)) % 0.44/0.68 (define @t144 () (@list @t26 @t25 @t24)) % 0.44/0.68 (define @t145 () (@var "VTyp3" $$unsorted)) % 0.44/0.68 (define @t146 () (@var "VTyp2" $$unsorted)) % 0.44/0.68 (define @t147 () (= (tptp.varrow @t12 @t10) (tptp.varrow @t146 @t145))) % 0.44/0.68 (define @t148 () (and (= @t12 @t146) (= @t10 @t145))) % 0.44/0.68 (define @t149 () (tptp.vtcheck @t76 @t32 @t51)) % 0.44/0.68 (define @t150 () (= @t80 (tptp.vsomeType @t51))) % 0.44/0.68 (define @t151 () (@list @t76 @t26 @t51)) % 0.44/0.68 (define @t152 () (forall @t151 (=> @t150 @t149))) % 0.44/0.68 (define @t153 () (tptp.varrow @t25 @t51)) % 0.44/0.68 (define @t154 () (tptp.vbind @t26 @t25 @t76)) % 0.44/0.68 (define @t155 () (tptp.vtcheck @t154 @t24 @t51)) % 0.44/0.68 (define @t156 () (tptp.vtcheck @t76 @t36 @t25)) % 0.44/0.68 (define @t157 () (tptp.vtcheck @t76 @t37 @t153)) % 0.44/0.68 (define @t158 () (and @t157 @t156)) % 0.44/0.68 (define @t159 () (= @t24 @t38)) % 0.44/0.68 (define @t160 () (and @t159 @t157 @t156)) % 0.44/0.68 (define @t161 () (@list @t37 @t36 @t25)) % 0.44/0.68 (define @t162 () (exists @t161 @t160)) % 0.44/0.68 (define @t163 () (@var "VT2" $$unsorted)) % 0.44/0.68 (define @t164 () (@var "VT1" $$unsorted)) % 0.44/0.68 (define @t165 () (tptp.vtcheck (tptp.vbind @t26 @t164 @t76) @t36 @t163)) % 0.44/0.68 (define @t166 () (tptp.varrow @t164 @t163)) % 0.44/0.68 (define @t167 () (= @t51 @t166)) % 0.44/0.68 (define @t168 () (tptp.vabs @t26 @t164 @t36)) % 0.44/0.68 (define @t169 () (= @t24 @t168)) % 0.44/0.68 (define @t170 () (and @t169 @t167 @t165)) % 0.44/0.68 (define @t171 () (@list @t26 @t36 @t164 @t163)) % 0.44/0.68 (define @t172 () (exists @t171 @t170)) % 0.44/0.68 (define @t173 () (= @t24 @t32)) % 0.44/0.68 (define @t174 () (and @t173 @t150)) % 0.44/0.68 (define @t175 () (exists @t88 @t174)) % 0.44/0.68 (define @t176 () (or @t175 @t172 @t162)) % 0.44/0.68 (define @t177 () (tptp.vtcheck @t76 @t24 @t51)) % 0.44/0.68 (define @t178 () (=> @t177 @t176)) % 0.44/0.68 (define @t179 () (@list @t24 @t51 @t76)) % 0.44/0.68 (define @t180 () (forall @t179 @t178)) % 0.44/0.68 (define @t181 () (tptp.vtcheck @t76 @t95 @t51)) % 0.44/0.68 (define @t182 () (tptp.vtcheck @t154 @t95 @t51)) % 0.44/0.68 (define @t183 () (tptp.visFreeVar @t26 @t95)) % 0.44/0.68 (define @t184 () (not @t183)) % 0.44/0.68 (define @t185 () (and @t184 @t182)) % 0.44/0.68 (define @t186 () (@list @t26 @t25 @t76 @t74 @t51)) % 0.44/0.68 (define @t187 () (forall @t186 (=> @t185 @t181))) % 0.44/0.68 (define @t188 () (not @t187)) % 0.44/0.68 (define @t189 () (not (tptp.visValue @t32))) % 0.44/0.68 (define @t190 () (not (= @t32 @t32))) % 0.44/0.68 (define @t191 () (or @t190 @t189)) % 0.44/0.68 (define @t192 () (not @t33)) % 0.44/0.68 (define @t193 () (or @t192 @t192 @t31)) % 0.44/0.68 (define @t194 () (or @t192 @t31)) % 0.44/0.68 (define @t195 () (forall @t116 @t194)) % 0.44/0.68 (define @t196 () (forall @t88 @t195)) % 0.44/0.68 (define @t197 () (not @t182)) % 0.44/0.68 (define @t198 () (or @t183 @t197 @t181)) % 0.44/0.68 (define @t199 () (forall @t186 @t198)) % 0.44/0.68 (define @t200 () (@quantifiers_skolemize @t199 3)) % 0.44/0.68 (define @t201 () (@list @t200)) % 0.44/0.68 (define @t202 () (tptp.visValue @t27)) % 0.44/0.68 (define @t203 () (not (= @t27 @t27))) % 0.44/0.68 (define @t204 () (or @t203 @t202)) % 0.44/0.68 (define @t205 () (not @t28)) % 0.44/0.68 (define @t206 () (or @t205 @t205 @t23)) % 0.44/0.68 (define @t207 () (or @t205 @t23)) % 0.44/0.68 (define @t208 () (forall @t116 @t207)) % 0.44/0.68 (define @t209 () (forall @t144 @t208)) % 0.44/0.68 (define @t210 () (@quantifiers_skolemize @t199 2)) % 0.44/0.68 (define @t211 () (@quantifiers_skolemize @t199 1)) % 0.44/0.68 (define @t212 () (@quantifiers_skolemize @t199 0)) % 0.44/0.68 (define @t213 () (tptp.vbind @t212 @t211 @t210)) % 0.44/0.68 (define @t214 () (not (tptp.vtcheck (tptp.vbind @t26 @t164 @t213) @t36 @t163))) % 0.44/0.68 (define @t215 () (@quantifiers_skolemize @t199 4)) % 0.44/0.68 (define @t216 () (tptp.vvar @t200)) % 0.44/0.68 (define @t217 () (forall @t171 (or (not (= @t168 @t216)) (not (= @t166 @t215)) @t214))) % 0.44/0.68 (define @t218 () (@quantifiers_skolemize @t217 1)) % 0.44/0.68 (define @t219 () (@quantifiers_skolemize @t217 2)) % 0.44/0.68 (define @t220 () (@quantifiers_skolemize @t217 0)) % 0.44/0.68 (define @t221 () (not @t156)) % 0.44/0.68 (define @t222 () (not @t157)) % 0.44/0.68 (define @t223 () (not @t159)) % 0.44/0.68 (define @t224 () (or @t223 @t222 @t221)) % 0.44/0.68 (define @t225 () (not (forall @t161 @t224))) % 0.44/0.68 (define @t226 () (not @t165)) % 0.44/0.68 (define @t227 () (not @t167)) % 0.44/0.68 (define @t228 () (not @t169)) % 0.44/0.68 (define @t229 () (or @t228 @t227 @t226)) % 0.44/0.68 (define @t230 () (not (forall @t171 @t229))) % 0.44/0.68 (define @t231 () (not @t150)) % 0.44/0.68 (define @t232 () (not (forall @t88 (or (not @t173) @t231)))) % 0.44/0.68 (define @t233 () (not @t177)) % 0.44/0.68 (define @t234 () (or @t233 @t232 @t230 @t225)) % 0.44/0.68 (define @t235 () (or @t232 @t230 @t225)) % 0.44/0.68 (define @t236 () (forall @t161 (not @t160))) % 0.44/0.68 (define @t237 () (not @t236)) % 0.44/0.68 (define @t238 () (forall @t171 (not @t170))) % 0.44/0.68 (define @t239 () (not @t238)) % 0.44/0.68 (define @t240 () (forall @t88 (not @t174))) % 0.44/0.68 (define @t241 () (not @t240)) % 0.44/0.68 (define @t242 () (not (tptp.vtcheck @t213 @t36 @t25))) % 0.44/0.68 (define @t243 () (not (tptp.vtcheck @t213 @t37 (tptp.varrow @t25 @t215)))) % 0.44/0.68 (define @t244 () (not (= @t216 @t38))) % 0.44/0.68 (define @t245 () (or @t244 @t243 @t242)) % 0.44/0.68 (define @t246 () (forall @t161 @t245)) % 0.44/0.68 (define @t247 () (not @t246)) % 0.44/0.68 (define @t248 () (not (= @t215 @t166))) % 0.44/0.68 (define @t249 () (not (= @t216 @t168))) % 0.44/0.68 (define @t250 () (or @t249 @t248 @t214)) % 0.44/0.68 (define @t251 () (forall @t171 @t250)) % 0.44/0.68 (define @t252 () (not @t251)) % 0.44/0.68 (define @t253 () (tptp.vlookup @t26 @t213)) % 0.44/0.68 (define @t254 () (tptp.vsomeType @t215)) % 0.44/0.68 (define @t255 () (not (= @t253 @t254))) % 0.44/0.68 (define @t256 () (not (= @t216 @t32))) % 0.44/0.68 (define @t257 () (or @t256 @t255)) % 0.44/0.68 (define @t258 () (forall @t88 @t257)) % 0.44/0.68 (define @t259 () (not @t258)) % 0.44/0.68 (define @t260 () (tptp.vtcheck @t213 @t216 @t215)) % 0.44/0.68 (define @t261 () (not @t260)) % 0.44/0.68 (define @t262 () (or @t261 @t259 @t252 @t247)) % 0.44/0.68 (define @t263 () (forall @t179 @t234)) % 0.44/0.68 (define @t264 () (forall @t161 (or (not (= @t38 @t216)) @t243 @t242))) % 0.44/0.68 (define @t265 () (not @t264)) % 0.44/0.68 (define @t266 () (not @t217)) % 0.44/0.68 (define @t267 () (forall @t88 (or (not (= @t32 @t216)) (not (= @t254 @t253))))) % 0.44/0.68 (define @t268 () (not @t267)) % 0.44/0.68 (define @t269 () (or @t261 @t268 @t266 @t265)) % 0.44/0.68 (define @t270 () (@list false)) % 0.44/0.68 (define @t271 () (@quantifiers_skolemize @t264 1)) % 0.44/0.68 (define @t272 () (@quantifiers_skolemize @t264 0)) % 0.44/0.68 (define @t273 () (tptp.vapp @t272 @t271)) % 0.44/0.68 (define @t274 () (= @t216 @t273)) % 0.44/0.68 (define @t275 () (@quantifiers_skolemize @t264 2)) % 0.44/0.68 (define @t276 () (not (tptp.vtcheck @t213 @t271 @t275))) % 0.44/0.68 (define @t277 () (not (tptp.vtcheck @t213 @t272 (tptp.varrow @t275 @t215)))) % 0.44/0.68 (define @t278 () (not @t274)) % 0.44/0.68 (define @t279 () (or @t278 @t277 @t276)) % 0.44/0.68 (define @t280 () (@list true)) % 0.44/0.68 (define @t281 () (not @t279)) % 0.44/0.68 (define @t282 () (not (= @t273 @t216))) % 0.44/0.68 (define @t283 () (or @t282 @t277 @t276)) % 0.44/0.68 (define @t284 () (not @t283)) % 0.44/0.68 (define @t285 () (@quantifiers_skolemize @t267 0)) % 0.44/0.68 (define @t286 () (tptp.vvar @t285)) % 0.44/0.68 (define @t287 () (= @t216 @t286)) % 0.44/0.68 (define @t288 () (tptp.vlookup @t285 @t213)) % 0.44/0.68 (define @t289 () (= @t254 @t288)) % 0.44/0.68 (define @t290 () (not @t289)) % 0.44/0.68 (define @t291 () (not @t287)) % 0.44/0.68 (define @t292 () (or @t291 @t290)) % 0.44/0.68 (define @t293 () (@var "BOUND_VARIABLE_7960" $$unsorted)) % 0.44/0.68 (define @t294 () (@var "BOUND_VARIABLE_7958" $$unsorted)) % 0.44/0.68 (define @t295 () (forall (@list @t294 @t293) (or (not (= (tptp.vvar @t294) (tptp.vvar @t293))) (= @t294 @t293)))) % 0.44/0.68 (define @t296 () (@var "BOUND_VARIABLE_7972" $$unsorted)) % 0.44/0.68 (define @t297 () (@list @t296)) % 0.44/0.68 (define @t298 () (tptp.vvar @t296)) % 0.44/0.68 (define @t299 () (not (= @t296 @t296))) % 0.44/0.68 (define @t300 () (or @t299 (= @t298 @t298))) % 0.44/0.68 (define @t301 () (@var "BOUND_VARIABLE_7970" $$unsorted)) % 0.44/0.68 (define @t302 () (= (tptp.vvar @t301) @t298)) % 0.44/0.68 (define @t303 () (not (= @t301 @t296))) % 0.44/0.68 (define @t304 () (or @t303 @t303 @t302)) % 0.44/0.68 (define @t305 () (@list @t301)) % 0.44/0.68 (define @t306 () (or @t303 @t302)) % 0.44/0.68 (define @t307 () (forall @t305 @t306)) % 0.44/0.68 (define @t308 () (forall @t297 @t307)) % 0.44/0.68 (define @t309 () (forall (@list @t296 @t301) @t306)) % 0.44/0.68 (define @t310 () (forall (@list @t301 @t296) @t306)) % 0.44/0.68 (define @t311 () (or (not @t5) @t4)) % 0.44/0.68 (define @t312 () (forall @t7 @t311)) % 0.44/0.68 (define @t313 () (@list @t2 @t1)) % 0.44/0.68 (define @t314 () (or (not @t4) @t5)) % 0.44/0.68 (define @t315 () (forall @t7 @t314)) % 0.44/0.68 (define @t316 () (and @t315 @t312)) % 0.44/0.68 (define @t317 () (= @t200 @t285)) % 0.44/0.68 (define @t318 () (or @t291 @t317)) % 0.44/0.68 (define @t319 () (tptp.vtcheck @t210 @t216 @t215)) % 0.44/0.68 (define @t320 () (tptp.visFreeVar @t212 @t216)) % 0.44/0.68 (define @t321 () (or @t320 @t261 @t319)) % 0.44/0.68 (define @t322 () (not @t319)) % 0.44/0.68 (define @t323 () (@list @t321)) % 0.44/0.68 (define @t324 () (tptp.vtcheck @t210 @t286 @t215)) % 0.44/0.68 (define @t325 () (not @t324)) % 0.44/0.68 (define @t326 () (and @t322 @t287)) % 0.44/0.68 (define @t327 () (tptp.vlookup @t285 @t210)) % 0.44/0.68 (define @t328 () (not (= @t327 @t254))) % 0.44/0.68 (define @t329 () (or @t328 @t324)) % 0.44/0.68 (define @t330 () (forall @t151 (or @t231 @t149))) % 0.44/0.68 (define @t331 () (= @t254 @t327)) % 0.44/0.68 (define @t332 () (not @t331)) % 0.44/0.68 (define @t333 () (or @t332 @t324)) % 0.44/0.68 (define @t334 () (= @t288 @t327)) % 0.44/0.68 (define @t335 () (not @t334)) % 0.44/0.68 (define @t336 () (and @t289 @t332)) % 0.44/0.68 (define @t337 () (tptp.vlookup @t26 @t77)) % 0.44/0.68 (define @t338 () (= @t80 @t337)) % 0.44/0.68 (define @t339 () (or @t75 @t338)) % 0.44/0.68 (define @t340 () (not (= @t337 @t337))) % 0.44/0.68 (define @t341 () (or @t75 @t340 (= @t337 @t80))) % 0.44/0.68 (define @t342 () (not (= @t65 @t337))) % 0.44/0.68 (define @t343 () (or @t342 @t75 @t342 @t81)) % 0.44/0.68 (define @t344 () (@list @t65)) % 0.44/0.68 (define @t345 () (or @t75 @t342 @t81)) % 0.44/0.68 (define @t346 () (forall @t344 @t345)) % 0.44/0.68 (define @t347 () (forall @t87 @t346)) % 0.44/0.68 (define @t348 () (forall (@list @t72 @t74 @t26 @t76 @t65) @t345)) % 0.44/0.68 (define @t349 () (@list @t72 @t74 @t65 @t26 @t76)) % 0.44/0.68 (define @t350 () (not (= @t77 @t77))) % 0.44/0.68 (define @t351 () (or @t350 @t75 @t342 @t81)) % 0.44/0.68 (define @t352 () (not (= @t65 (tptp.vlookup @t26 @t55)))) % 0.44/0.68 (define @t353 () (not @t78)) % 0.44/0.68 (define @t354 () (or @t353 @t353 @t75 @t352 @t81)) % 0.44/0.68 (define @t355 () (@list @t55)) % 0.44/0.68 (define @t356 () (or @t353 @t75 @t352 @t81)) % 0.44/0.68 (define @t357 () (forall @t355 @t356)) % 0.44/0.68 (define @t358 () (forall @t349 @t357)) % 0.44/0.68 (define @t359 () (forall (@list @t72 @t74 @t65 @t26 @t76 @t55) @t356)) % 0.44/0.68 (define @t360 () (@list @t72 @t74 @t55 @t65 @t26 @t76)) % 0.44/0.68 (define @t361 () (not (= @t26 @t26))) % 0.44/0.68 (define @t362 () (or @t361 @t353 @t75 @t352 @t81)) % 0.44/0.68 (define @t363 () (not @t69)) % 0.44/0.68 (define @t364 () (not @t71)) % 0.44/0.68 (define @t365 () (or @t364 @t364 @t353 @t75 @t363 @t81)) % 0.44/0.68 (define @t366 () (@list @t2)) % 0.44/0.68 (define @t367 () (or @t364 @t353 @t75 @t363 @t81)) % 0.44/0.68 (define @t368 () (forall @t366 @t367)) % 0.44/0.68 (define @t369 () (forall @t360 @t368)) % 0.44/0.68 (define @t370 () (forall (@list @t72 @t74 @t55 @t65 @t26 @t76 @t2) @t367)) % 0.44/0.68 (define @t371 () (or @t75 @t363 @t81)) % 0.44/0.68 (define @t372 () (or (= @t285 @t212) (= @t327 @t288))) % 0.44/0.68 (define @t373 () (forall @t87 @t339)) % 0.44/0.68 (define @t374 () (= @t212 @t285)) % 0.44/0.68 (define @t375 () (or @t374 @t334)) % 0.44/0.68 (define @t376 () (not @t320)) % 0.44/0.68 (define @t377 () (@var "BOUND_VARIABLE_8227" $$unsorted)) % 0.44/0.68 (define @t378 () (@var "BOUND_VARIABLE_8225" $$unsorted)) % 0.44/0.68 (define @t379 () (forall (@list @t378 @t377) (or (not (tptp.visFreeVar @t377 (tptp.vvar @t378))) (= @t378 @t377)))) % 0.44/0.68 (define @t380 () (@var "BOUND_VARIABLE_8216" $$unsorted)) % 0.44/0.68 (define @t381 () (tptp.visFreeVar @t380 (tptp.vvar @t380))) % 0.44/0.68 (define @t382 () (not (= @t380 @t380))) % 0.44/0.68 (define @t383 () (or @t382 @t381)) % 0.44/0.68 (define @t384 () (@list @t380)) % 0.44/0.68 (define @t385 () (@var "BOUND_VARIABLE_8214" $$unsorted)) % 0.44/0.68 (define @t386 () (tptp.visFreeVar @t380 (tptp.vvar @t385))) % 0.44/0.68 (define @t387 () (not (= @t385 @t380))) % 0.44/0.68 (define @t388 () (or @t387 @t387 @t386)) % 0.44/0.68 (define @t389 () (@list @t385)) % 0.44/0.68 (define @t390 () (or @t387 @t386)) % 0.44/0.68 (define @t391 () (forall @t389 @t390)) % 0.44/0.68 (define @t392 () (forall @t384 @t391)) % 0.44/0.68 (define @t393 () (forall (@list @t380 @t385) @t390)) % 0.44/0.68 (define @t394 () (forall (@list @t385 @t380) @t390)) % 0.44/0.68 (define @t395 () (tptp.visFreeVar @t40 @t32)) % 0.44/0.68 (define @t396 () (or (not @t395) @t41)) % 0.44/0.68 (define @t397 () (@list @t26 @t40)) % 0.44/0.68 (define @t398 () (forall @t397 @t396)) % 0.44/0.68 (define @t399 () (@list @t26 @t40)) % 0.44/0.68 (define @t400 () (or @t49 @t395)) % 0.44/0.68 (define @t401 () (forall @t397 @t400)) % 0.44/0.68 (define @t402 () (and @t401 @t398)) % 0.44/0.68 (define @t403 () (and @t400 @t396)) % 0.44/0.68 (define @t404 () (or @t190 @t403)) % 0.44/0.68 (define @t405 () (tptp.visFreeVar @t40 @t11)) % 0.44/0.68 (define @t406 () (and (or @t49 @t405) (or (not @t405) @t41))) % 0.44/0.68 (define @t407 () (or @t192 @t192 @t406)) % 0.44/0.68 (define @t408 () (or @t192 @t406)) % 0.44/0.68 (define @t409 () (forall @t116 @t408)) % 0.44/0.68 (define @t410 () (forall @t397 @t409)) % 0.44/0.68 (define @t411 () (forall (@list @t26 @t40 @t11) @t408)) % 0.44/0.68 (define @t412 () (@list @t11 @t26 @t40)) % 0.44/0.68 (define @t413 () (not (= @t40 @t40))) % 0.44/0.68 (define @t414 () (or @t413 @t192 @t406)) % 0.44/0.68 (define @t415 () (and (or @t49 @t42) (or (not @t42) @t41))) % 0.44/0.68 (define @t416 () (not @t44)) % 0.44/0.68 (define @t417 () (or @t416 @t416 @t192 @t415)) % 0.44/0.68 (define @t418 () (or @t416 @t192 @t415)) % 0.44/0.68 (define @t419 () (forall @t366 @t418)) % 0.44/0.68 (define @t420 () (forall @t412 @t419)) % 0.44/0.68 (define @t421 () (forall (@list @t11 @t26 @t40 @t2) @t418)) % 0.44/0.68 (define @t422 () (not @t374)) % 0.44/0.68 (define @t423 () (not @t317)) % 0.44/0.68 (define @t424 () (tptp.visFreeVar @t200 @t216)) % 0.44/0.68 (define @t425 () (not @t424)) % 0.44/0.68 (define @t426 () (and @t424 @t317 @t374 @t376)) % 0.44/0.68 (define @t427 () (not @t292)) % 0.44/0.68 (define @t428 () (not (= @t286 @t216))) % 0.44/0.68 (define @t429 () (or @t428 @t290)) % 0.44/0.68 (define @t430 () (not @t429)) % 0.44/0.68 (define @t431 () (@quantifiers_skolemize @t217 3)) % 0.44/0.68 (define @t432 () (not (tptp.vtcheck (tptp.vbind @t220 @t219 @t213) @t218 @t431))) % 0.44/0.68 (define @t433 () (tptp.varrow @t219 @t431)) % 0.44/0.68 (define @t434 () (tptp.vabs @t220 @t219 @t218)) % 0.44/0.68 (define @t435 () (= @t216 @t434)) % 0.44/0.68 (define @t436 () (not @t435)) % 0.44/0.68 (define @t437 () (or @t436 (not (= @t215 @t433)) @t432)) % 0.44/0.68 (define @t438 () (not @t437)) % 0.44/0.68 (define @t439 () (not (= @t433 @t215))) % 0.44/0.68 (define @t440 () (not (= @t434 @t216))) % 0.44/0.68 (define @t441 () (or @t440 @t439 @t432)) % 0.44/0.68 (define @t442 () (not @t441)) % 0.44/0.68 (define @t443 () (tptp.visValue @t434)) % 0.44/0.68 (define @t444 () (not @t443)) % 0.44/0.68 (define @t445 () (tptp.visValue @t216)) % 0.44/0.68 (define @t446 () (not @t445)) % 0.44/0.68 (assume @p1 @t8) % 0.44/0.68 (assume @p2 (forall (@list @t2 @t12 @t11 @t1 @t10 @t9) (and (=> @t14 @t17) (=> @t17 @t14)))) % 0.44/0.68 (assume @p3 (forall (@list @t11 @t9 @t19 @t18) (and (=> @t21 @t22) (=> @t22 @t21)))) % 0.44/0.68 (assume @p4 (forall (@list @t2 @t1 @t12 @t11) (not (= @t3 (tptp.vabs @t1 @t12 @t11))))) % 0.44/0.68 (assume @p5 (forall (@list @t2 @t11 @t9) (not (= @t3 @t20)))) % 0.44/0.68 (assume @p6 (forall (@list @t2 @t12 @t11 @t9 @t19) (not (= @t13 (tptp.vapp @t9 @t19))))) % 0.44/0.68 (assume @p7 @t30) % 0.44/0.68 (assume @p8 @t35) % 0.44/0.68 (assume @p9 (forall (@list @t37 @t36 @t11) (=> @t39 @t31))) % 0.44/0.68 (assume @p10 @t47) % 0.44/0.68 (assume @p11 (forall (@list @t51 @t2 @t11 @t26 @t40 @t24) (=> (and @t44 (= @t11 (tptp.vabs @t26 @t51 @t24))) (and (=> @t50 @t42) (=> @t42 @t50))))) % 0.44/0.68 (assume @p12 (forall (@list @t2 @t11 @t37 @t40 @t36) (=> (and @t44 @t39) (and (=> @t52 @t42) (=> @t42 @t52))))) % 0.44/0.68 (assume @p13 (and (=> @t53 true) (=> true @t53))) % 0.44/0.68 (assume @p14 (forall (@list @t2 @t12 @t55 @t1 @t10 @t54) (and (=> @t57 @t58) (=> @t58 @t57)))) % 0.44/0.68 (assume @p15 (and (=> @t59 true) (=> true @t59))) % 0.44/0.68 (assume @p16 (forall (@list @t12 @t10) (and (=> @t61 @t16) (=> @t16 @t61)))) % 0.44/0.68 (assume @p17 (forall (@list @t2 @t12 @t55) (not (= tptp.vempty @t56)))) % 0.44/0.68 (assume @p18 (forall (@list @t12) (not (= tptp.vnoType @t60)))) % 0.44/0.68 (assume @p19 (forall (@list @t62) (=> (= @t62 tptp.vnoType) (not @t63)))) % 0.44/0.68 (assume @p20 (forall (@list @t24 @t62) (=> @t64 @t63))) % 0.44/0.68 (assume @p21 (forall (@list @t62 @t65 @t24) (=> @t64 (=> (= @t65 (tptp.vgetSomeType @t62)) @t66)))) % 0.44/0.68 (assume @p22 (forall (@list @t26 @t2 @t55 @t65) (=> (and @t71 @t70) (=> @t69 @t67)))) % 0.44/0.68 (assume @p23 (forall (@list @t76 @t26 @t74 @t2 @t55 @t65 @t72) (=> @t79 (=> @t75 (=> @t69 @t73))))) % 0.44/0.68 (assume @p24 @t86) % 0.44/0.68 (assume @p25 (forall (@list @t2 @t55 @t65) (=> (= @t68 @t65) (or (exists @t88 (and @t71 @t70 @t67)) (exists (@list @t76 @t26 @t74 @t72) (and @t71 @t78 @t75 @t73)) (exists @t87 (and @t71 @t78 @t83 @t81)))))) % 0.44/0.68 (assume @p26 (forall @t92 (=> (and @t75 @t91) (tptp.vtcheck @t90 @t24 @t51)))) % 0.44/0.68 (assume @p27 (forall @t92 (=> (and @t83 @t91) (tptp.vtcheck (tptp.vbind @t74 @t72 @t90) @t24 @t51)))) % 0.44/0.68 (assume @p28 (forall (@list @t40 @t24) (=> (= (tptp.vgensym @t24) @t40) (not @t48)))) % 0.44/0.68 (assume @p29 (forall (@list @t26 @t74 @t2 @t11 @t9 @t65 @t24) (=> @t98 (=> @t75 (=> @t94 @t66))))) % 0.44/0.68 (assume @p30 (forall (@list @t24 @t26 @t2 @t11 @t9 @t65 @t74) (=> @t98 (=> @t83 (=> @t94 @t99))))) % 0.44/0.68 (assume @p31 (forall (@list @t2 @t11 @t9 @t65 @t37 @t26 @t24 @t36) (=> (and @t71 @t97 @t102) (=> @t94 @t101)))) % 0.44/0.68 (assume @p32 (forall (@list @t24 @t26 @t2 @t11 @t9 @t65 @t74 @t51 @t37) (=> @t106 (=> @t75 (=> @t94 @t104))))) % 0.44/0.68 (assume @p33 (forall (@list @t2 @t11 @t9 @t65 @t26 @t24 @t51 @t74 @t107 @t37) (=> @t106 (=> (and @t83 @t110 @t109) (=> @t94 @t108))))) % 0.44/0.68 (assume @p34 (forall (@list @t2 @t11 @t9 @t65 @t74 @t51 @t26 @t24 @t37) (=> @t106 (=> (and @t83 @t112) (=> @t94 @t111))))) % 0.44/0.68 (assume @p35 (forall (@list @t2 @t11 @t9 @t65) (=> (= @t93 @t65) (or (exists (@list @t26 @t74 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:premises (@p487 @p485)) % 0.44/0.68 (step @p489 :rule cong :premises (@p488) :args (@t420)) % 0.44/0.68 (step @p490 :rule quant-merge-prenex :args ((= @t420 @t421))) % 0.44/0.68 (step @p491 :rule symm :premises (@p490)) % 0.44/0.68 (step @p492 :rule quant_var_reordering :args ((= (forall @t46 @t418) @t421))) % 0.44/0.68 (step @p493 :rule trans :premises (@p492 @p491 @p489)) % 0.44/0.68 (step @p494 :rule trans :premises (@p493 @p484)) % 0.44/0.68 (step @p495 :rule aci_norm :args ((= (or (or @t416 @t192) @t415) @t418))) % 0.44/0.68 (step @p496 :rule bool-impl-elim :args (@t42 @t41)) % 0.44/0.68 (step @p497 :rule bool-impl-elim :args (@t41 @t42)) % 0.44/0.68 (step @p498 :rule nary_cong :premises (@p497 @p496) :args (@t43)) % 0.44/0.68 (step @p499 :rule bool-and-de-morgan :args (@t44 @t33 true)) % 0.44/0.68 (step @p500 :rule nary_cong :premises (@p499 @p498) :args ((or (not @t45) @t43))) % 0.44/0.68 (step @p501 :rule trans :premises (@p500 @p495)) % 0.44/0.68 (step @p502 :rule 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(step @p548 :rule refl :args (@t427)) % 0.44/0.68 (step @p549 :rule bool-double-not-elim :args (@t267)) % 0.44/0.68 (step @p550 :rule nary_cong :premises (@p549 @p548) :args ((or (not @t268) @t427))) % 0.44/0.68 (step @p551 :rule eq-symm :args (@t286 @t216)) % 0.44/0.68 (step @p552 :rule cong :premises (@p551) :args (@t428)) % 0.44/0.68 (step @p553 :rule nary_cong :premises (@p552 @p314) :args (@t429)) % 0.44/0.68 (step @p554 :rule cong :premises (@p553) :args (@t430)) % 0.44/0.68 (step @p555 :rule refl :args (@t268)) % 0.44/0.68 (step @p556 :rule cong :premises (@p555 @p554) :args ((=> @t268 @t430))) % 0.44/0.68 (assume-push @p664 @t268) % 0.44/0.68 (step @p558 :rule skolemize :premises (@p664)) % 0.44/0.68 (step-pop @p665 :rule scope :premises (@p558)) % 0.44/0.68 (step @p559 :rule process_scope :premises (@p665) :args (@t430)) % 0.44/0.68 (step @p561 :rule eq_resolve :premises (@p559 @p556)) % 0.44/0.68 (step @p562 :rule implies_elim :premises (@p561)) % 0.44/0.68 (step @p563 :rule 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% 0.44/0.68 (step @p575 :rule refl :args (@t438)) % 0.44/0.68 (step @p576 :rule bool-double-not-elim :args (@t217)) % 0.44/0.68 (step @p577 :rule nary_cong :premises (@p576 @p575) :args ((or (not @t266) @t438))) % 0.44/0.68 (step @p578 :rule refl :args (@t432)) % 0.44/0.68 (step @p579 :rule eq-symm :args (@t433 @t215)) % 0.44/0.68 (step @p580 :rule cong :premises (@p579) :args (@t439)) % 0.44/0.68 (step @p581 :rule eq-symm :args (@t434 @t216)) % 0.44/0.68 (step @p582 :rule cong :premises (@p581) :args (@t440)) % 0.44/0.68 (step @p583 :rule nary_cong :premises (@p582 @p580 @p578) :args (@t441)) % 0.44/0.68 (step @p584 :rule cong :premises (@p583) :args (@t442)) % 0.44/0.68 (step @p585 :rule refl :args (@t266)) % 0.44/0.68 (step @p586 :rule cong :premises (@p585 @p584) :args ((=> @t266 @t442))) % 0.44/0.68 (assume-push @p666 @t266) % 0.44/0.68 (step @p588 :rule skolemize :premises (@p666)) % 0.44/0.68 (step-pop @p667 :rule scope :premises (@p588)) % 0.44/0.68 (step @p589 :rule process_scope :premises (@p667) :args (@t442)) % 0.44/0.68 (step @p591 :rule eq_resolve :premises (@p589 @p586)) % 0.44/0.68 (step @p592 :rule implies_elim :premises (@p591)) % 0.44/0.68 (step @p593 :rule eq_resolve :premises (@p592 @p577)) % 0.44/0.68 (step @p594 :rule chain_m_resolution :premises (@p593 @p574) :args (@t438 @t280 (@list @t217))) % 0.44/0.68 (step @p595 :rule bool-double-not-elim :args (@t435)) % 0.44/0.68 (step @p596 :rule refl :args (@t437)) % 0.44/0.68 (step @p597 :rule nary_cong :premises (@p596 @p595) :args ((or @t437 (not @t436)))) % 0.44/0.68 (step @p598 :rule cnf_or_neg :args (@t437 0)) % 0.44/0.68 (step @p599 :rule eq_resolve :premises (@p598 @p597)) % 0.44/0.68 (step @p600 :rule reordering :premises (@p599) :args ((or @t435 @t437))) % 0.44/0.68 (step @p601 :rule chain_m_resolution :premises (@p600 @p594) :args (@t435 @t280 (@list @t437))) % 0.44/0.68 (step @p602 :rule refl :args (@t444)) % 0.44/0.68 (step @p603 :rule refl :args (@t436)) % 0.44/0.68 (step @p604 :rule bool-double-not-elim :args (@t445)) % 0.44/0.68 (step @p605 :rule nary_cong :premises (@p604 @p603 @p602) :args ((or (not @t446) @t436 @t444))) % 0.44/0.68 (assume-push @p668 @t446) % 0.44/0.68 (assume-push @p669 @t435) % 0.44/0.68 (assume-push @p670 @t443) % 0.44/0.68 (step @p609 :rule evaluate :args ((= true false))) % 0.44/0.68 (step @p610 :rule false_intro :premises (@p80)) % 0.44/0.68 (step @p611 :rule symm :premises (@p669)) % 0.44/0.68 (step @p612 :rule cong :premises (@p611) :args (@t443)) % 0.44/0.68 (step @p613 :rule true_intro :premises (@p102)) % 0.44/0.68 (step @p614 :rule symm :premises (@p613)) % 0.44/0.68 (step @p615 :rule trans :premises (@p614 @p612 @p610)) % 0.44/0.68 (step @p616 false :rule eq_resolve :premises (@p615 @p609)) % 0.44/0.68 (step-pop @p671 :rule scope :premises (@p616)) % 0.44/0.68 (step-pop @p672 :rule scope :premises (@p671)) % 0.44/0.68 (step-pop @p673 :rule scope :premises (@p672)) % 0.44/0.68 (step @p617 :rule process_scope :premises (@p673) :args (false)) % 0.44/0.68 (step @p621 :rule not_and :premises (@p617)) % 0.44/0.68 (step @p622 :rule eq_resolve :premises (@p621 @p605)) % 0.44/0.68 (step @p623 false :rule chain_m_resolution :premises (@p622 @p601 @p102 @p80) :args (false (@list false false true) (@list @t435 @t443 @t445))) % 0.44/0.68 ) % 0.44/0.68 % SZS output end Proof % 0.44/0.68 % cvc5 exiting %------------------------------------------------------------------------------