%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : COM132+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 : n029.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 113.17s 113.45s % Output : Proof 113.17s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : COM132+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 : n029.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 20:30:32 EDT 2026 % 0.18/0.34 % CPUTime : % 0.31/0.50 %----Proving TF0_NAR, FOF, or CNF % 113.17/113.45 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 113.17/113.45 --- Run --no-e-matching --full-saturate-quant at 6... % 113.17/113.45 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 113.17/113.45 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 113.17/113.45 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 113.17/113.45 --- Run --trigger-sel=max --full-saturate-quant at 15... % 113.17/113.45 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 113.17/113.45 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 113.17/113.45 % SZS status Theorem % 113.17/113.45 % SZS output start Proof % 113.17/113.45 ( % 113.17/113.45 (declare-sort $$unsorted 0) % 113.17/113.45 (declare-const tptp.veabs $$unsorted) % 113.17/113.45 (declare-const tptp.valphaEquivalent (-> $$unsorted $$unsorted Bool)) % 113.17/113.45 (declare-const tptp.varrow (-> $$unsorted $$unsorted $$unsorted)) % 113.17/113.45 (declare-const tptp.vgetSomeExp (-> $$unsorted $$unsorted)) % 113.17/113.45 (declare-const tptp.vsomeExp (-> $$unsorted $$unsorted)) % 113.17/113.45 (declare-const tptp.vnoExp $$unsorted) % 113.17/113.45 (declare-const tptp.vsubst (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 113.17/113.45 (declare-const tptp.vgensym (-> $$unsorted $$unsorted)) % 113.17/113.45 (declare-const tptp.vapp (-> $$unsorted $$unsorted $$unsorted)) % 113.17/113.45 (declare-const tptp.visValue (-> $$unsorted Bool)) % 113.17/113.45 (declare-const tptp.vempty $$unsorted) % 113.17/113.45 (declare-const tptp.vbind (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 113.17/113.45 (declare-const tptp.vnoType $$unsorted) % 113.17/113.45 (declare-const tptp.visFreeVar (-> $$unsorted $$unsorted Bool)) % 113.17/113.45 (declare-const tptp.vtcheck (-> $$unsorted $$unsorted $$unsorted Bool)) % 113.17/113.45 (declare-const tptp.vsomeType (-> $$unsorted $$unsorted)) % 113.17/113.45 (declare-const tptp.visSomeExp (-> $$unsorted Bool)) % 113.17/113.45 (declare-const tptp.vvar (-> $$unsorted $$unsorted)) % 113.17/113.45 (declare-const tptp.vlookup (-> $$unsorted $$unsorted $$unsorted)) % 113.17/113.45 (declare-const tptp.vabs (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 113.17/113.45 (declare-const tptp.visSomeType (-> $$unsorted Bool)) % 113.17/113.45 (declare-const tptp.vreduce (-> $$unsorted $$unsorted)) % 113.17/113.45 (declare-const tptp.vgetSomeType (-> $$unsorted $$unsorted)) % 113.17/113.45 (define @t1 () (@var "VVar1" $$unsorted)) % 113.17/113.45 (define @t2 () (@var "VVar0" $$unsorted)) % 113.17/113.45 (define @t3 () (tptp.vvar @t2)) % 113.17/113.45 (define @t4 () (= @t3 (tptp.vvar @t1))) % 113.17/113.45 (define @t5 () (= @t2 @t1)) % 113.17/113.45 (define @t6 () (@var "VExp1" $$unsorted)) % 113.17/113.45 (define @t7 () (@var "VTyp1" $$unsorted)) % 113.17/113.45 (define @t8 () (@var "VExp0" $$unsorted)) % 113.17/113.45 (define @t9 () (@var "VTyp0" $$unsorted)) % 113.17/113.45 (define @t10 () (tptp.vabs @t2 @t9 @t8)) % 113.17/113.45 (define @t11 () (= @t10 (tptp.vabs @t1 @t7 @t6))) % 113.17/113.45 (define @t12 () (= @t8 @t6)) % 113.17/113.45 (define @t13 () (= @t9 @t7)) % 113.17/113.45 (define @t14 () (and @t5 @t13 @t12)) % 113.17/113.45 (define @t15 () (and (=> @t11 @t14) (=> @t14 @t11))) % 113.17/113.45 (define @t16 () (@list @t2 @t9 @t8 @t1 @t7 @t6)) % 113.17/113.45 (define @t17 () (forall @t16 @t15)) % 113.17/113.45 (define @t18 () (@var "VExp3" $$unsorted)) % 113.17/113.45 (define @t19 () (@var "VExp2" $$unsorted)) % 113.17/113.45 (define @t20 () (tptp.vapp @t8 @t6)) % 113.17/113.45 (define @t21 () (= @t20 (tptp.vapp @t19 @t18))) % 113.17/113.45 (define @t22 () (and (= @t8 @t19) (= @t6 @t18))) % 113.17/113.45 (define @t23 () (forall (@list @t2 @t1 @t9 @t8) (not (= @t3 (tptp.vabs @t1 @t9 @t8))))) % 113.17/113.45 (define @t24 () (@list @t2 @t8 @t6)) % 113.17/113.45 (define @t25 () (tptp.visValue @t8)) % 113.17/113.45 (define @t26 () (@var "Ve" $$unsorted)) % 113.17/113.45 (define @t27 () (@var "VS" $$unsorted)) % 113.17/113.45 (define @t28 () (@var "Vx" $$unsorted)) % 113.17/113.45 (define @t29 () (tptp.vabs @t28 @t27 @t26)) % 113.17/113.45 (define @t30 () (= @t8 @t29)) % 113.17/113.45 (define @t31 () (not @t25)) % 113.17/113.45 (define @t32 () (tptp.vvar @t28)) % 113.17/113.45 (define @t33 () (= @t8 @t32)) % 113.17/113.45 (define @t34 () (@var "Ve2" $$unsorted)) % 113.17/113.45 (define @t35 () (@var "Ve1" $$unsorted)) % 113.17/113.45 (define @t36 () (tptp.vapp @t35 @t34)) % 113.17/113.45 (define @t37 () (= @t8 @t36)) % 113.17/113.45 (define @t38 () (@var "Vv" $$unsorted)) % 113.17/113.45 (define @t39 () (= @t28 @t38)) % 113.17/113.45 (define @t40 () (tptp.visFreeVar @t2 @t8)) % 113.17/113.45 (define @t41 () (= @t2 @t38)) % 113.17/113.45 (define @t42 () (tptp.visFreeVar @t38 @t26)) % 113.17/113.45 (define @t43 () (and (not @t39) @t42)) % 113.17/113.45 (define @t44 () (@var "VT" $$unsorted)) % 113.17/113.45 (define @t45 () (tptp.visFreeVar @t38 @t34)) % 113.17/113.45 (define @t46 () (tptp.visFreeVar @t38 @t35)) % 113.17/113.45 (define @t47 () (or @t46 @t45)) % 113.17/113.45 (define @t48 () (and (=> @t47 @t40) (=> @t40 @t47))) % 113.17/113.45 (define @t49 () (and @t41 @t37)) % 113.17/113.45 (define @t50 () (@list @t2 @t8 @t35 @t38 @t34)) % 113.17/113.45 (define @t51 () (forall @t50 (=> @t49 @t48))) % 113.17/113.45 (define @t52 () (= tptp.vempty tptp.vempty)) % 113.17/113.45 (define @t53 () (@var "VCtx1" $$unsorted)) % 113.17/113.45 (define @t54 () (@var "VCtx0" $$unsorted)) % 113.17/113.45 (define @t55 () (tptp.vbind @t2 @t9 @t54)) % 113.17/113.45 (define @t56 () (= @t55 (tptp.vbind @t1 @t7 @t53))) % 113.17/113.45 (define @t57 () (and @t5 @t13 (= @t54 @t53))) % 113.17/113.45 (define @t58 () (= tptp.vnoType tptp.vnoType)) % 113.17/113.45 (define @t59 () (tptp.vsomeType @t9)) % 113.17/113.45 (define @t60 () (= @t59 (tptp.vsomeType @t7))) % 113.17/113.45 (define @t61 () (@var "VOptTyp0" $$unsorted)) % 113.17/113.45 (define @t62 () (tptp.visSomeType @t61)) % 113.17/113.45 (define @t63 () (= @t61 (tptp.vsomeType @t26))) % 113.17/113.45 (define @t64 () (@var "RESULT" $$unsorted)) % 113.17/113.45 (define @t65 () (= @t64 @t26)) % 113.17/113.45 (define @t66 () (= @t64 tptp.vnoType)) % 113.17/113.45 (define @t67 () (tptp.vlookup @t2 @t54)) % 113.17/113.45 (define @t68 () (= @t64 @t67)) % 113.17/113.45 (define @t69 () (= @t54 tptp.vempty)) % 113.17/113.45 (define @t70 () (= @t2 @t28)) % 113.17/113.45 (define @t71 () (@var "VTy" $$unsorted)) % 113.17/113.45 (define @t72 () (= @t64 (tptp.vsomeType @t71))) % 113.17/113.45 (define @t73 () (@var "Vy" $$unsorted)) % 113.17/113.45 (define @t74 () (= @t28 @t73)) % 113.17/113.45 (define @t75 () (@var "VC" $$unsorted)) % 113.17/113.45 (define @t76 () (tptp.vbind @t73 @t71 @t75)) % 113.17/113.45 (define @t77 () (= @t54 @t76)) % 113.17/113.45 (define @t78 () (and @t70 @t77)) % 113.17/113.45 (define @t79 () (tptp.vlookup @t28 @t75)) % 113.17/113.45 (define @t80 () (= @t64 @t79)) % 113.17/113.45 (define @t81 () (not @t74)) % 113.17/113.45 (define @t82 () (@list @t28)) % 113.17/113.45 (define @t83 () (@var "VTx" $$unsorted)) % 113.17/113.45 (define @t84 () (tptp.vbind @t28 @t83 @t75)) % 113.17/113.45 (define @t85 () (tptp.vtcheck (tptp.vbind @t28 @t83 @t76) @t26 @t44)) % 113.17/113.45 (define @t86 () (@list @t73 @t71 @t28 @t83 @t75 @t26 @t44)) % 113.17/113.45 (define @t87 () (not @t42)) % 113.17/113.45 (define @t88 () (tptp.vgensym @t26)) % 113.17/113.45 (define @t89 () (=> (= @t88 @t38) @t87)) % 113.17/113.45 (define @t90 () (@list @t38 @t26)) % 113.17/113.45 (define @t91 () (forall @t90 @t89)) % 113.17/113.45 (define @t92 () (tptp.vsubst @t2 @t8 @t6)) % 113.17/113.45 (define @t93 () (= @t64 @t92)) % 113.17/113.45 (define @t94 () (tptp.vvar @t73)) % 113.17/113.45 (define @t95 () (= @t6 @t94)) % 113.17/113.45 (define @t96 () (= @t8 @t26)) % 113.17/113.45 (define @t97 () (and @t70 @t96 @t95)) % 113.17/113.45 (define @t98 () (= @t64 @t94)) % 113.17/113.45 (define @t99 () (tptp.vsubst @t28 @t26 @t35)) % 113.17/113.45 (define @t100 () (= @t64 (tptp.vapp @t99 (tptp.vsubst @t28 @t26 @t34)))) % 113.17/113.45 (define @t101 () (= @t6 @t36)) % 113.17/113.45 (define @t102 () (tptp.vabs @t73 @t44 @t35)) % 113.17/113.45 (define @t103 () (= @t64 @t102)) % 113.17/113.45 (define @t104 () (= @t6 @t102)) % 113.17/113.45 (define @t105 () (and @t70 @t96 @t104)) % 113.17/113.45 (define @t106 () (@var "Vfresh" $$unsorted)) % 113.17/113.45 (define @t107 () (tptp.vabs @t106 @t44 (tptp.vsubst @t73 (tptp.vvar @t106) @t35))) % 113.17/113.45 (define @t108 () (= @t64 (tptp.vsubst @t28 @t26 @t107))) % 113.17/113.45 (define @t109 () (tptp.vapp @t26 @t35)) % 113.17/113.45 (define @t110 () (tptp.vgensym (tptp.vapp @t109 @t32))) % 113.17/113.45 (define @t111 () (= @t106 @t110)) % 113.17/113.45 (define @t112 () (tptp.visFreeVar @t73 @t26)) % 113.17/113.45 (define @t113 () (= @t64 (tptp.vabs @t73 @t44 @t99))) % 113.17/113.45 (define @t114 () (not @t112)) % 113.17/113.45 (define @t115 () (and @t70 @t96 @t104 @t81 @t114 @t113)) % 113.17/113.45 (define @t116 () (@list @t73 @t44 @t28 @t26 @t35)) % 113.17/113.45 (define @t117 () (exists @t116 @t115)) % 113.17/113.45 (define @t118 () (and @t70 @t96 @t104 @t81 @t112 @t111 @t108)) % 113.17/113.45 (define @t119 () (@list @t28 @t26 @t44 @t73 @t106 @t35)) % 113.17/113.45 (define @t120 () (exists @t119 @t118)) % 113.17/113.45 (define @t121 () (and @t70 @t96 @t104 @t74 @t103)) % 113.17/113.45 (define @t122 () (@list @t26 @t28 @t73 @t44 @t35)) % 113.17/113.45 (define @t123 () (exists @t122 @t121)) % 113.17/113.45 (define @t124 () (and @t70 @t96 @t101 @t100)) % 113.17/113.45 (define @t125 () (@list @t35 @t28 @t26 @t34)) % 113.17/113.45 (define @t126 () (exists @t125 @t124)) % 113.17/113.45 (define @t127 () (and @t70 @t96 @t95 @t81 @t98)) % 113.17/113.45 (define @t128 () (@list @t26 @t28 @t73)) % 113.17/113.45 (define @t129 () (exists @t128 @t127)) % 113.17/113.45 (define @t130 () (and @t70 @t96 @t95 @t74 @t65)) % 113.17/113.45 (define @t131 () (@list @t28 @t73 @t26)) % 113.17/113.45 (define @t132 () (exists @t131 @t130)) % 113.17/113.45 (define @t133 () (or @t132 @t129 @t126 @t123 @t120 @t117)) % 113.17/113.45 (define @t134 () (=> (= @t92 @t64) @t133)) % 113.17/113.45 (define @t135 () (@list @t2 @t8 @t6 @t64)) % 113.17/113.45 (define @t136 () (forall @t135 @t134)) % 113.17/113.45 (define @t137 () (= tptp.vnoExp tptp.vnoExp)) % 113.17/113.45 (define @t138 () (tptp.vsomeExp @t8)) % 113.17/113.45 (define @t139 () (= @t138 (tptp.vsomeExp @t6))) % 113.17/113.45 (define @t140 () (@list @t8)) % 113.17/113.45 (define @t141 () (@var "VOptExp0" $$unsorted)) % 113.17/113.45 (define @t142 () (tptp.visSomeExp @t141)) % 113.17/113.45 (define @t143 () (= @t141 (tptp.vsomeExp @t26))) % 113.17/113.45 (define @t144 () (= @t64 tptp.vnoExp)) % 113.17/113.45 (define @t145 () (tptp.vreduce @t8)) % 113.17/113.45 (define @t146 () (= @t64 @t145)) % 113.17/113.45 (define @t147 () (=> @t146 @t144)) % 113.17/113.45 (define @t148 () (@var "Ve2red" $$unsorted)) % 113.17/113.45 (define @t149 () (tptp.vabs @t28 @t27 @t35)) % 113.17/113.45 (define @t150 () (= @t64 (tptp.vsomeExp (tptp.vapp @t149 (tptp.vgetSomeExp @t148))))) % 113.17/113.45 (define @t151 () (tptp.visSomeExp @t148)) % 113.17/113.45 (define @t152 () (= @t148 (tptp.vreduce @t34))) % 113.17/113.45 (define @t153 () (= @t8 (tptp.vapp @t149 @t34))) % 113.17/113.45 (define @t154 () (= @t64 (tptp.vsomeExp (tptp.vsubst @t28 @t34 @t35)))) % 113.17/113.45 (define @t155 () (tptp.visValue @t34)) % 113.17/113.45 (define @t156 () (not @t151)) % 113.17/113.45 (define @t157 () (not @t155)) % 113.17/113.45 (define @t158 () (@var "Ve1red" $$unsorted)) % 113.17/113.45 (define @t159 () (= @t64 (tptp.vsomeExp (tptp.vapp (tptp.vgetSomeExp @t158) @t34)))) % 113.17/113.45 (define @t160 () (tptp.visSomeExp @t158)) % 113.17/113.45 (define @t161 () (= @t158 (tptp.vreduce @t35))) % 113.17/113.45 (define @t162 () (@var "VVe10" $$unsorted)) % 113.17/113.45 (define @t163 () (@var "VVS0" $$unsorted)) % 113.17/113.45 (define @t164 () (@var "VVx0" $$unsorted)) % 113.17/113.45 (define @t165 () (forall (@list @t164 @t163 @t162) (not (= @t35 (tptp.vabs @t164 @t163 @t162))))) % 113.17/113.45 (define @t166 () (and @t37 @t165)) % 113.17/113.45 (define @t167 () (not @t160)) % 113.17/113.45 (define @t168 () (@var "VTyp3" $$unsorted)) % 113.17/113.45 (define @t169 () (@var "VTyp2" $$unsorted)) % 113.17/113.45 (define @t170 () (= (tptp.varrow @t9 @t7) (tptp.varrow @t169 @t168))) % 113.17/113.45 (define @t171 () (and (= @t9 @t169) (= @t7 @t168))) % 113.17/113.45 (define @t172 () (= @t79 (tptp.vsomeType @t44))) % 113.17/113.45 (define @t173 () (tptp.varrow @t27 @t44)) % 113.17/113.45 (define @t174 () (tptp.vtcheck (tptp.vbind @t28 @t27 @t75) @t26 @t44)) % 113.17/113.45 (define @t175 () (tptp.vtcheck @t75 @t34 @t27)) % 113.17/113.45 (define @t176 () (tptp.vtcheck @t75 @t35 @t173)) % 113.17/113.45 (define @t177 () (@var "VT2" $$unsorted)) % 113.17/113.45 (define @t178 () (@var "VT1" $$unsorted)) % 113.17/113.45 (define @t179 () (tptp.vtcheck @t75 @t26 @t44)) % 113.17/113.45 (define @t180 () (@list @t26)) % 113.17/113.45 (define @t181 () (tptp.valphaEquivalent @t35 @t34)) % 113.17/113.45 (define @t182 () (@var "Ve3" $$unsorted)) % 113.17/113.45 (define @t183 () (tptp.valphaEquivalent @t29 (tptp.vabs @t73 @t27 (tptp.vsubst @t28 @t94 @t26)))) % 113.17/113.45 (define @t184 () (forall (@list @t27 @t28 @t73 @t26) (=> @t114 @t183))) % 113.17/113.45 (define @t185 () (tptp.vtcheck @t75 @t35 @t44)) % 113.17/113.45 (define @t186 () (tptp.valphaEquivalent @t26 @t35)) % 113.17/113.45 (define @t187 () (and @t179 @t186)) % 113.17/113.45 (define @t188 () (forall (@list @t26 @t75 @t35 @t44) (=> @t187 @t185))) % 113.17/113.45 (define @t189 () (not (tptp.visFreeVar @t28 @t26))) % 113.17/113.45 (define @t190 () (@list @t26 @t28 @t35)) % 113.17/113.45 (define @t191 () (@list @t28 @t27 @t75 @t26 @t44)) % 113.17/113.45 (define @t192 () (tptp.vabs @t73 @t27 @t35)) % 113.17/113.45 (define @t193 () (tptp.vtcheck @t75 (tptp.vsubst @t28 @t26 @t192) @t177)) % 113.17/113.45 (define @t194 () (tptp.vbind @t28 @t44 @t75)) % 113.17/113.45 (define @t195 () (tptp.vtcheck @t194 @t192 @t177)) % 113.17/113.45 (define @t196 () (and @t81 @t114 @t179 @t195)) % 113.17/113.45 (define @t197 () (forall (@list @t44 @t75 @t28 @t26 @t73 @t27 @t35 @t177) (=> @t196 @t193))) % 113.17/113.45 (define @t198 () (not (= @t28 @t106))) % 113.17/113.45 (define @t199 () (@list @t26 @t35 @t28 @t106)) % 113.17/113.45 (define @t200 () (forall @t199 (=> @t111 @t198))) % 113.17/113.45 (define @t201 () (not (tptp.visFreeVar @t106 @t35))) % 113.17/113.45 (define @t202 () (@list @t26 @t28 @t106 @t35)) % 113.17/113.45 (define @t203 () (forall @t202 (=> @t111 @t201))) % 113.17/113.45 (define @t204 () (tptp.vabs @t73 @t27 tptp.veabs)) % 113.17/113.45 (define @t205 () (tptp.vtcheck @t75 (tptp.vsubst @t28 @t26 @t204) @t177)) % 113.17/113.45 (define @t206 () (tptp.vtcheck @t194 @t204 @t177)) % 113.17/113.45 (define @t207 () (and @t81 @t112 @t179 @t206)) % 113.17/113.45 (define @t208 () (@list @t44 @t75 @t28 @t26 @t73 @t27 @t177)) % 113.17/113.45 (define @t209 () (forall @t208 (=> @t207 @t205))) % 113.17/113.45 (define @t210 () (not @t209)) % 113.17/113.45 (define @t211 () (not @t206)) % 113.17/113.45 (define @t212 () (not @t179)) % 113.17/113.45 (define @t213 () (or @t74 @t114 @t212 @t211 @t205)) % 113.17/113.45 (define @t214 () (not @t81)) % 113.17/113.45 (define @t215 () (or @t214 @t114 @t212 @t211)) % 113.17/113.45 (define @t216 () (forall @t208 @t213)) % 113.17/113.45 (define @t217 () (@quantifiers_skolemize @t216 0)) % 113.17/113.45 (define @t218 () (@quantifiers_skolemize @t216 3)) % 113.17/113.45 (define @t219 () (@quantifiers_skolemize @t216 1)) % 113.17/113.45 (define @t220 () (tptp.vtcheck @t219 @t218 @t217)) % 113.17/113.45 (define @t221 () (@quantifiers_skolemize @t216 6)) % 113.17/113.45 (define @t222 () (@quantifiers_skolemize @t216 5)) % 113.17/113.45 (define @t223 () (@quantifiers_skolemize @t216 4)) % 113.17/113.45 (define @t224 () (tptp.vabs @t223 @t222 tptp.veabs)) % 113.17/113.45 (define @t225 () (@quantifiers_skolemize @t216 2)) % 113.17/113.45 (define @t226 () (tptp.vsubst @t225 @t218 @t224)) % 113.17/113.45 (define @t227 () (tptp.vtcheck @t219 @t226 @t221)) % 113.17/113.45 (define @t228 () (tptp.vbind @t225 @t217 @t219)) % 113.17/113.45 (define @t229 () (tptp.vtcheck @t228 @t224 @t221)) % 113.17/113.45 (define @t230 () (not @t229)) % 113.17/113.45 (define @t231 () (not @t220)) % 113.17/113.45 (define @t232 () (= @t225 @t223)) % 113.17/113.45 (define @t233 () (or @t232 (not (tptp.visFreeVar @t223 @t218)) @t231 @t230 @t227)) % 113.17/113.45 (define @t234 () (@list true)) % 113.17/113.45 (define @t235 () (@list @t233)) % 113.17/113.45 (define @t236 () (tptp.vsubst @t2 @t8 @t35)) % 113.17/113.45 (define @t237 () (tptp.vabs @t73 @t44 @t236)) % 113.17/113.45 (define @t238 () (tptp.visFreeVar @t73 @t8)) % 113.17/113.45 (define @t239 () (= @t2 @t73)) % 113.17/113.45 (define @t240 () (not @t104)) % 113.17/113.45 (define @t241 () (@list @t73 @t44 @t35)) % 113.17/113.45 (define @t242 () (not (forall @t241 (or @t240 @t239 @t238 (not (= @t92 @t237)))))) % 113.17/113.45 (define @t243 () (tptp.vgensym (tptp.vapp (tptp.vapp @t8 @t35) @t3))) % 113.17/113.45 (define @t244 () (tptp.vsubst @t2 @t8 (tptp.vabs @t243 @t44 (tptp.vsubst @t73 (tptp.vvar @t243) @t35)))) % 113.17/113.45 (define @t245 () (not @t238)) % 113.17/113.45 (define @t246 () (@list @t44 @t73 @t35)) % 113.17/113.45 (define @t247 () (not (forall @t246 (or @t240 @t239 @t245 (not (= @t92 @t244)))))) % 113.17/113.45 (define @t248 () (tptp.vabs @t2 @t44 @t35)) % 113.17/113.45 (define @t249 () (not (= @t6 @t248))) % 113.17/113.45 (define @t250 () (@list @t44 @t35)) % 113.17/113.45 (define @t251 () (not (forall @t250 (or @t249 (not (= @t92 @t248)))))) % 113.17/113.45 (define @t252 () (tptp.vapp @t236 (tptp.vsubst @t2 @t8 @t34))) % 113.17/113.45 (define @t253 () (not @t101)) % 113.17/113.45 (define @t254 () (@list @t35 @t34)) % 113.17/113.45 (define @t255 () (not (forall @t254 (or @t253 (not (= @t92 @t252)))))) % 113.17/113.45 (define @t256 () (not @t95)) % 113.17/113.45 (define @t257 () (@list @t73)) % 113.17/113.45 (define @t258 () (not (forall @t257 (or @t256 @t239 (not (= @t94 @t92)))))) % 113.17/113.45 (define @t259 () (= @t3 @t6)) % 113.17/113.45 (define @t260 () (and @t259 (= @t8 @t92))) % 113.17/113.45 (define @t261 () (or @t260 @t258 @t255 @t251 @t247 @t242)) % 113.17/113.45 (define @t262 () (not (= @t92 @t94))) % 113.17/113.45 (define @t263 () (or @t256 @t239 @t262)) % 113.17/113.45 (define @t264 () (forall @t257 @t263)) % 113.17/113.45 (define @t265 () (not @t264)) % 113.17/113.45 (define @t266 () (not (= @t92 @t92))) % 113.17/113.45 (define @t267 () (or @t266 @t260 @t265 @t255 @t251 @t247 @t242)) % 113.17/113.45 (define @t268 () (not (= @t64 @t237))) % 113.17/113.45 (define @t269 () (or @t240 @t239 @t238 @t268)) % 113.17/113.45 (define @t270 () (not (forall @t241 @t269))) % 113.17/113.45 (define @t271 () (not (= @t64 @t244))) % 113.17/113.45 (define @t272 () (or @t240 @t239 @t245 @t271)) % 113.17/113.45 (define @t273 () (not (forall @t246 @t272))) % 113.17/113.45 (define @t274 () (not (= @t64 @t248))) % 113.17/113.45 (define @t275 () (or @t249 @t274)) % 113.17/113.45 (define @t276 () (forall @t250 @t275)) % 113.17/113.45 (define @t277 () (not @t276)) % 113.17/113.45 (define @t278 () (not (= @t64 @t252))) % 113.17/113.45 (define @t279 () (or @t253 @t278)) % 113.17/113.45 (define @t280 () (not (forall @t254 @t279))) % 113.17/113.45 (define @t281 () (not @t98)) % 113.17/113.45 (define @t282 () (or @t256 @t239 @t281)) % 113.17/113.45 (define @t283 () (forall @t257 @t282)) % 113.17/113.45 (define @t284 () (not @t283)) % 113.17/113.45 (define @t285 () (= @t8 @t64)) % 113.17/113.45 (define @t286 () (and @t259 @t285)) % 113.17/113.45 (define @t287 () (not @t93)) % 113.17/113.45 (define @t288 () (or @t287 @t287 @t286 @t284 @t280 @t277 @t273 @t270)) % 113.17/113.45 (define @t289 () (@list @t64)) % 113.17/113.45 (define @t290 () (or @t287 @t286 @t284 @t280 @t277 @t273 @t270)) % 113.17/113.45 (define @t291 () (forall @t289 @t290)) % 113.17/113.45 (define @t292 () (forall @t24 @t291)) % 113.17/113.45 (define @t293 () (not @t285)) % 113.17/113.45 (define @t294 () (not @t259)) % 113.17/113.45 (define @t295 () (or (not (or @t294 @t293)) @t284 @t280 @t277 @t273 @t270)) % 113.17/113.45 (define @t296 () (not (= @t8 @t8))) % 113.17/113.45 (define @t297 () (or @t296 @t240 @t239 @t238 @t268)) % 113.17/113.45 (define @t298 () (tptp.vsubst @t2 @t26 @t35)) % 113.17/113.45 (define @t299 () (not (= @t64 (tptp.vabs @t73 @t44 @t298)))) % 113.17/113.45 (define @t300 () (not @t96)) % 113.17/113.45 (define @t301 () (not (= @t26 @t8))) % 113.17/113.45 (define @t302 () (or @t300 @t300 @t240 @t239 @t112 @t299)) % 113.17/113.45 (define @t303 () (or @t300 @t240 @t239 @t112 @t299)) % 113.17/113.45 (define @t304 () (forall @t180 @t303)) % 113.17/113.45 (define @t305 () (forall @t241 @t304)) % 113.17/113.45 (define @t306 () (forall (@list @t73 @t44 @t35 @t26) @t303)) % 113.17/113.45 (define @t307 () (@list @t73 @t44 @t26 @t35)) % 113.17/113.45 (define @t308 () (not (= @t2 @t2))) % 113.17/113.45 (define @t309 () (or @t308 @t300 @t240 @t239 @t112 @t299)) % 113.17/113.45 (define @t310 () (not @t113)) % 113.17/113.45 (define @t311 () (not @t70)) % 113.17/113.45 (define @t312 () (not (= @t28 @t2))) % 113.17/113.45 (define @t313 () (or @t311 @t311 @t300 @t240 @t74 @t112 @t310)) % 113.17/113.45 (define @t314 () (or @t311 @t300 @t240 @t74 @t112 @t310)) % 113.17/113.45 (define @t315 () (forall @t82 @t314)) % 113.17/113.45 (define @t316 () (forall @t307 @t315)) % 113.17/113.45 (define @t317 () (forall (@list @t73 @t44 @t26 @t35 @t28) @t314)) % 113.17/113.45 (define @t318 () (not @t114)) % 113.17/113.45 (define @t319 () (or @t311 @t300 @t240 @t214 @t318 @t310)) % 113.17/113.45 (define @t320 () (forall @t116 (not @t115))) % 113.17/113.45 (define @t321 () (not @t320)) % 113.17/113.45 (define @t322 () (not (= @t243 @t243))) % 113.17/113.45 (define @t323 () (or @t240 @t239 @t245 @t322 @t271)) % 113.17/113.45 (define @t324 () (not (= @t64 (tptp.vsubst @t2 @t8 @t107)))) % 113.17/113.45 (define @t325 () (not (= @t106 @t243))) % 113.17/113.45 (define @t326 () (or @t325 @t240 @t239 @t245 @t325 @t324)) % 113.17/113.45 (define @t327 () (@list @t106)) % 113.17/113.45 (define @t328 () (or @t240 @t239 @t245 @t325 @t324)) % 113.17/113.45 (define @t329 () (forall @t327 @t328)) % 113.17/113.45 (define @t330 () (forall @t246 @t329)) % 113.17/113.45 (define @t331 () (forall (@list @t44 @t73 @t35 @t106) @t328)) % 113.17/113.45 (define @t332 () (@list @t44 @t73 @t106 @t35)) % 113.17/113.45 (define @t333 () (or @t296 @t240 @t239 @t245 @t325 @t324)) % 113.17/113.45 (define @t334 () (not (= @t64 (tptp.vsubst @t2 @t26 @t107)))) % 113.17/113.45 (define @t335 () (not (= @t106 (tptp.vgensym (tptp.vapp @t109 @t3))))) % 113.17/113.45 (define @t336 () (or @t300 @t300 @t240 @t239 @t114 @t335 @t334)) % 113.17/113.45 (define @t337 () (or @t300 @t240 @t239 @t114 @t335 @t334)) % 113.17/113.45 (define @t338 () (forall @t180 @t337)) % 113.17/113.45 (define @t339 () (forall @t332 @t338)) % 113.17/113.45 (define @t340 () (forall (@list @t44 @t73 @t106 @t35 @t26) @t337)) % 113.17/113.45 (define @t341 () (@list @t26 @t44 @t73 @t106 @t35)) % 113.17/113.45 (define @t342 () (or @t308 @t300 @t240 @t239 @t114 @t335 @t334)) % 113.17/113.45 (define @t343 () (not @t108)) % 113.17/113.45 (define @t344 () (not @t111)) % 113.17/113.45 (define @t345 () (or @t311 @t311 @t300 @t240 @t74 @t114 @t344 @t343)) % 113.17/113.45 (define @t346 () (or @t311 @t300 @t240 @t74 @t114 @t344 @t343)) % 113.17/113.45 (define @t347 () (forall @t82 @t346)) % 113.17/113.45 (define @t348 () (forall @t341 @t347)) % 113.17/113.45 (define @t349 () (forall (@list @t26 @t44 @t73 @t106 @t35 @t28) @t346)) % 113.17/113.45 (define @t350 () (or @t311 @t300 @t240 @t214 @t114 @t344 @t343)) % 113.17/113.45 (define @t351 () (forall @t119 (not @t118))) % 113.17/113.45 (define @t352 () (not @t351)) % 113.17/113.45 (define @t353 () (or @t300 @t300)) % 113.17/113.45 (define @t354 () (forall @t180 @t300)) % 113.17/113.45 (define @t355 () (or @t249 @t308 @t274)) % 113.17/113.45 (define @t356 () (not @t103)) % 113.17/113.45 (define @t357 () (not @t239)) % 113.17/113.45 (define @t358 () (not (= @t73 @t2))) % 113.17/113.45 (define @t359 () (or @t357 @t240 @t357 @t356)) % 113.17/113.45 (define @t360 () (or @t240 @t357 @t356)) % 113.17/113.45 (define @t361 () (forall @t257 @t360)) % 113.17/113.45 (define @t362 () (forall @t250 @t361)) % 113.17/113.45 (define @t363 () (forall (@list @t44 @t35 @t73) @t360)) % 113.17/113.45 (define @t364 () (or @t308 @t240 @t357 @t356)) % 113.17/113.45 (define @t365 () (or @t311 @t311 @t240 @t81 @t356)) % 113.17/113.45 (define @t366 () (or @t311 @t240 @t81 @t356)) % 113.17/113.45 (define @t367 () (forall @t82 @t366)) % 113.17/113.45 (define @t368 () (forall @t241 @t367)) % 113.17/113.45 (define @t369 () (forall (@list @t73 @t44 @t35 @t28) @t366)) % 113.17/113.45 (define @t370 () (forall (@list @t28 @t73 @t44 @t35) @t366)) % 113.17/113.45 (define @t371 () (or @t370 @t354)) % 113.17/113.45 (define @t372 () (or @t366 @t300)) % 113.17/113.45 (define @t373 () (@list @t28 @t73 @t44 @t35 @t26)) % 113.17/113.45 (define @t374 () (or @t311 @t300 @t240 @t81 @t356)) % 113.17/113.45 (define @t375 () (forall @t373 @t374)) % 113.17/113.45 (define @t376 () (forall @t122 (not @t121))) % 113.17/113.45 (define @t377 () (not @t376)) % 113.17/113.45 (define @t378 () (or @t296 @t253 @t278)) % 113.17/113.45 (define @t379 () (not (= @t64 (tptp.vapp @t298 (tptp.vsubst @t2 @t26 @t34))))) % 113.17/113.45 (define @t380 () (or @t300 @t300 @t253 @t379)) % 113.17/113.45 (define @t381 () (or @t300 @t253 @t379)) % 113.17/113.45 (define @t382 () (forall @t180 @t381)) % 113.17/113.45 (define @t383 () (forall @t254 @t382)) % 113.17/113.45 (define @t384 () (forall (@list @t35 @t34 @t26) @t381)) % 113.17/113.45 (define @t385 () (@list @t35 @t26 @t34)) % 113.17/113.45 (define @t386 () (or @t308 @t300 @t253 @t379)) % 113.17/113.45 (define @t387 () (not @t100)) % 113.17/113.45 (define @t388 () (or @t311 @t311 @t300 @t253 @t387)) % 113.17/113.45 (define @t389 () (or @t311 @t300 @t253 @t387)) % 113.17/113.45 (define @t390 () (forall @t82 @t389)) % 113.17/113.45 (define @t391 () (forall @t385 @t390)) % 113.17/113.45 (define @t392 () (forall (@list @t35 @t26 @t34 @t28) @t389)) % 113.17/113.45 (define @t393 () (forall @t125 (not @t124))) % 113.17/113.45 (define @t394 () (not @t393)) % 113.17/113.45 (define @t395 () (or @t308 @t256 @t239 @t281)) % 113.17/113.45 (define @t396 () (or @t311 @t311 @t256 @t74 @t281)) % 113.17/113.45 (define @t397 () (or @t311 @t256 @t74 @t281)) % 113.17/113.45 (define @t398 () (forall @t82 @t397)) % 113.17/113.45 (define @t399 () (forall @t257 @t398)) % 113.17/113.45 (define @t400 () (@list @t73 @t28)) % 113.17/113.45 (define @t401 () (forall @t400 @t397)) % 113.17/113.45 (define @t402 () (@list @t28 @t73)) % 113.17/113.45 (define @t403 () (forall @t402 @t397)) % 113.17/113.45 (define @t404 () (or @t403 @t354)) % 113.17/113.45 (define @t405 () (or @t397 @t300)) % 113.17/113.45 (define @t406 () (or @t311 @t300 @t256 @t74 @t281)) % 113.17/113.45 (define @t407 () (forall @t131 @t406)) % 113.17/113.45 (define @t408 () (or @t311 @t300 @t256 @t214 @t281)) % 113.17/113.45 (define @t409 () (forall @t128 (not @t127))) % 113.17/113.45 (define @t410 () (not @t409)) % 113.17/113.45 (define @t411 () (or @t296 @t293)) % 113.17/113.45 (define @t412 () (= @t26 @t64)) % 113.17/113.45 (define @t413 () (not @t412)) % 113.17/113.45 (define @t414 () (or @t300 @t300 @t413)) % 113.17/113.45 (define @t415 () (or @t300 @t413)) % 113.17/113.45 (define @t416 () (forall @t180 @t415)) % 113.17/113.45 (define @t417 () (not (= @t6 @t3))) % 113.17/113.45 (define @t418 () (or @t417 @t308)) % 113.17/113.45 (define @t419 () (or @t357 @t256 @t357)) % 113.17/113.45 (define @t420 () (or @t256 @t357)) % 113.17/113.45 (define @t421 () (or @t308 @t256 @t357)) % 113.17/113.45 (define @t422 () (or @t311 @t311 @t256 @t81)) % 113.17/113.45 (define @t423 () (or @t311 @t256 @t81)) % 113.17/113.45 (define @t424 () (forall @t82 @t423)) % 113.17/113.45 (define @t425 () (forall @t257 @t424)) % 113.17/113.45 (define @t426 () (forall @t400 @t423)) % 113.17/113.45 (define @t427 () (forall @t402 @t423)) % 113.17/113.45 (define @t428 () (or @t427 @t416)) % 113.17/113.45 (define @t429 () (or @t423 @t415)) % 113.17/113.45 (define @t430 () (or @t311 @t300 @t256 @t81 @t413)) % 113.17/113.45 (define @t431 () (and @t70 @t96 @t95 @t74 @t412)) % 113.17/113.45 (define @t432 () (forall @t131 (not @t431))) % 113.17/113.45 (define @t433 () (not @t432)) % 113.17/113.45 (define @t434 () (tptp.vsubst @t225 @t218 @t35)) % 113.17/113.45 (define @t435 () (not (= @t226 (tptp.vabs @t73 @t44 @t434)))) % 113.17/113.45 (define @t436 () (tptp.visFreeVar @t73 @t218)) % 113.17/113.45 (define @t437 () (not (= @t224 @t102))) % 113.17/113.45 (define @t438 () (= @t225 @t73)) % 113.17/113.45 (define @t439 () (or @t437 @t438 @t436 @t435)) % 113.17/113.45 (define @t440 () (forall @t241 @t439)) % 113.17/113.45 (define @t441 () (not @t440)) % 113.17/113.45 (define @t442 () (tptp.vvar @t225)) % 113.17/113.45 (define @t443 () (tptp.vgensym (tptp.vapp (tptp.vapp @t218 @t35) @t442))) % 113.17/113.45 (define @t444 () (not (= @t226 (tptp.vsubst @t225 @t218 (tptp.vabs @t443 @t44 (tptp.vsubst @t73 (tptp.vvar @t443) @t35)))))) % 113.17/113.45 (define @t445 () (not @t436)) % 113.17/113.45 (define @t446 () (or @t437 @t438 @t445 @t444)) % 113.17/113.45 (define @t447 () (forall @t246 @t446)) % 113.17/113.45 (define @t448 () (not @t447)) % 113.17/113.45 (define @t449 () (tptp.vabs @t225 @t44 @t35)) % 113.17/113.45 (define @t450 () (forall @t250 (or (not (= @t224 @t449)) (not (= @t226 @t449))))) % 113.17/113.45 (define @t451 () (not @t450)) % 113.17/113.45 (define @t452 () (not (= @t226 (tptp.vapp @t434 (tptp.vsubst @t225 @t218 @t34))))) % 113.17/113.45 (define @t453 () (not (= @t224 @t36))) % 113.17/113.45 (define @t454 () (or @t453 @t452)) % 113.17/113.45 (define @t455 () (forall @t254 @t454)) % 113.17/113.45 (define @t456 () (not @t455)) % 113.17/113.45 (define @t457 () (not (= @t94 @t226))) % 113.17/113.45 (define @t458 () (not (= @t224 @t94))) % 113.17/113.45 (define @t459 () (or @t458 @t438 @t457)) % 113.17/113.45 (define @t460 () (forall @t257 @t459)) % 113.17/113.45 (define @t461 () (not @t460)) % 113.17/113.45 (define @t462 () (= @t218 @t226)) % 113.17/113.45 (define @t463 () (= @t442 @t224)) % 113.17/113.45 (define @t464 () (and @t463 @t462)) % 113.17/113.45 (define @t465 () (or @t464 @t461 @t456 @t451 @t448 @t441)) % 113.17/113.45 (define @t466 () (forall @t24 @t261)) % 113.17/113.45 (define @t467 () (= @t73 @t225)) % 113.17/113.45 (define @t468 () (not (= @t102 @t224))) % 113.17/113.45 (define @t469 () (forall @t241 (or @t468 @t467 @t436 @t435))) % 113.17/113.45 (define @t470 () (not @t469)) % 113.17/113.45 (define @t471 () (forall @t246 (or @t468 @t467 @t445 @t444))) % 113.17/113.45 (define @t472 () (not @t471)) % 113.17/113.45 (define @t473 () (forall @t254 (or (not (= @t36 @t224)) @t452))) % 113.17/113.45 (define @t474 () (not @t473)) % 113.17/113.45 (define @t475 () (forall @t257 (or (not (= @t94 @t224)) @t467 @t457))) % 113.17/113.45 (define @t476 () (not @t475)) % 113.17/113.45 (define @t477 () (= @t224 @t442)) % 113.17/113.45 (define @t478 () (and @t477 @t462)) % 113.17/113.45 (define @t479 () (or @t478 @t476 @t474 @t451 @t472 @t470)) % 113.17/113.45 (define @t480 () (@list false)) % 113.17/113.45 (define @t481 () (@quantifiers_skolemize @t471 2)) % 113.17/113.45 (define @t482 () (@quantifiers_skolemize @t471 0)) % 113.17/113.45 (define @t483 () (@quantifiers_skolemize @t471 1)) % 113.17/113.45 (define @t484 () (tptp.vabs @t483 @t482 @t481)) % 113.17/113.45 (define @t485 () (= @t224 @t484)) % 113.17/113.45 (define @t486 () (tptp.vapp @t218 @t481)) % 113.17/113.45 (define @t487 () (tptp.vapp @t486 @t442)) % 113.17/113.45 (define @t488 () (tptp.vgensym @t487)) % 113.17/113.45 (define @t489 () (tptp.vsubst @t483 (tptp.vvar @t488) @t481)) % 113.17/113.45 (define @t490 () (tptp.vabs @t488 @t482 @t489)) % 113.17/113.45 (define @t491 () (tptp.vsubst @t225 @t218 @t490)) % 113.17/113.45 (define @t492 () (= @t226 @t491)) % 113.17/113.45 (define @t493 () (not @t492)) % 113.17/113.45 (define @t494 () (not (tptp.visFreeVar @t483 @t218))) % 113.17/113.45 (define @t495 () (not @t485)) % 113.17/113.45 (define @t496 () (or @t495 (= @t225 @t483) @t494 @t493)) % 113.17/113.45 (define @t497 () (tptp.vtcheck @t228 @t484 @t221)) % 113.17/113.45 (define @t498 () (and @t229 @t485)) % 113.17/113.45 (define @t499 () (not @t227)) % 113.17/113.45 (define @t500 () (tptp.vtcheck @t219 @t491 @t221)) % 113.17/113.45 (define @t501 () (not @t500)) % 113.17/113.45 (define @t502 () (not @t499)) % 113.17/113.45 (define @t503 () (and @t499 @t492)) % 113.17/113.45 (define @t504 () (not (tptp.visFreeVar @t110 @t35))) % 113.17/113.45 (define @t505 () (not (= @t110 @t110))) % 113.17/113.45 (define @t506 () (or @t505 @t504)) % 113.17/113.45 (define @t507 () (or @t344 @t344 @t201)) % 113.17/113.45 (define @t508 () (or @t344 @t201)) % 113.17/113.45 (define @t509 () (forall @t327 @t508)) % 113.17/113.45 (define @t510 () (forall @t190 @t509)) % 113.17/113.45 (define @t511 () (forall (@list @t26 @t28 @t35 @t106) @t508)) % 113.17/113.45 (define @t512 () (tptp.valphaEquivalent @t484 @t490)) % 113.17/113.45 (define @t513 () (tptp.visFreeVar @t488 @t481)) % 113.17/113.45 (define @t514 () (or @t513 @t512)) % 113.17/113.45 (define @t515 () (@list true false)) % 113.17/113.45 (define @t516 () (not @t186)) % 113.17/113.45 (define @t517 () (tptp.vtcheck @t228 @t490 @t221)) % 113.17/113.45 (define @t518 () (not @t512)) % 113.17/113.45 (define @t519 () (not @t497)) % 113.17/113.45 (define @t520 () (or @t519 @t518 @t517)) % 113.17/113.45 (define @t521 () (not (= @t28 @t110))) % 113.17/113.45 (define @t522 () (or @t505 @t521)) % 113.17/113.45 (define @t523 () (@list @t26 @t35 @t28)) % 113.17/113.45 (define @t524 () (or @t344 @t344 @t198)) % 113.17/113.45 (define @t525 () (or @t344 @t198)) % 113.17/113.45 (define @t526 () (forall @t327 @t525)) % 113.17/113.45 (define @t527 () (forall @t523 @t526)) % 113.17/113.45 (define @t528 () (tptp.visFreeVar @t38 @t36)) % 113.17/113.45 (define @t529 () (or (not @t528) @t46 @t45)) % 113.17/113.45 (define @t530 () (@list @t35 @t38 @t34)) % 113.17/113.45 (define @t531 () (forall @t530 @t529)) % 113.17/113.45 (define @t532 () (@list @t35 @t38 @t34)) % 113.17/113.45 (define @t533 () (and (not @t46) (not @t45))) % 113.17/113.45 (define @t534 () (or @t533 @t528)) % 113.17/113.45 (define @t535 () (forall @t530 @t534)) % 113.17/113.45 (define @t536 () (and @t535 @t531)) % 113.17/113.45 (define @t537 () (and @t534 @t529)) % 113.17/113.45 (define @t538 () (not (= @t36 @t36))) % 113.17/113.45 (define @t539 () (or @t538 @t537)) % 113.17/113.45 (define @t540 () (tptp.visFreeVar @t38 @t8)) % 113.17/113.45 (define @t541 () (and (or @t533 @t540) (or (not @t540) @t46 @t45))) % 113.17/113.45 (define @t542 () (not @t37)) % 113.17/113.45 (define @t543 () (or @t542 @t542 @t541)) % 113.17/113.45 (define @t544 () (or @t542 @t541)) % 113.17/113.45 (define @t545 () (forall @t140 @t544)) % 113.17/113.45 (define @t546 () (forall @t530 @t545)) % 113.17/113.45 (define @t547 () (forall (@list @t35 @t38 @t34 @t8) @t544)) % 113.17/113.45 (define @t548 () (@list @t8 @t35 @t38 @t34)) % 113.17/113.45 (define @t549 () (not (= @t38 @t38))) % 113.17/113.45 (define @t550 () (or @t549 @t542 @t541)) % 113.17/113.45 (define @t551 () (not @t40)) % 113.17/113.45 (define @t552 () (or @t551 @t46 @t45)) % 113.17/113.45 (define @t553 () (and (or @t533 @t40) @t552)) % 113.17/113.45 (define @t554 () (not @t41)) % 113.17/113.45 (define @t555 () (or @t554 @t554 @t542 @t553)) % 113.17/113.45 (define @t556 () (@list @t2)) % 113.17/113.45 (define @t557 () (or @t554 @t542 @t553)) % 113.17/113.45 (define @t558 () (forall @t556 @t557)) % 113.17/113.45 (define @t559 () (forall @t548 @t558)) % 113.17/113.45 (define @t560 () (forall (@list @t8 @t35 @t38 @t34 @t2) @t557)) % 113.17/113.45 (define @t561 () (not (tptp.visFreeVar @t88 @t26))) % 113.17/113.45 (define @t562 () (not (= @t88 @t88))) % 113.17/113.45 (define @t563 () (or @t562 @t561)) % 113.17/113.45 (define @t564 () (= @t38 @t88)) % 113.17/113.45 (define @t565 () (not @t564)) % 113.17/113.45 (define @t566 () (or @t565 @t565 @t87)) % 113.17/113.45 (define @t567 () (@list @t38)) % 113.17/113.45 (define @t568 () (or @t565 @t87)) % 113.17/113.45 (define @t569 () (forall @t567 @t568)) % 113.17/113.45 (define @t570 () (forall @t180 @t569)) % 113.17/113.45 (define @t571 () (forall (@list @t26 @t38) @t568)) % 113.17/113.45 (define @t572 () (tptp.visFreeVar @t488 @t487)) % 113.17/113.45 (define @t573 () (tptp.visFreeVar @t488 @t486)) % 113.17/113.45 (define @t574 () (not @t573)) % 113.17/113.45 (define @t575 () (and @t574 (not (tptp.visFreeVar @t488 @t442)))) % 113.17/113.45 (define @t576 () (or @t575 @t572)) % 113.17/113.45 (define @t577 () (tptp.visFreeVar @t488 @t218)) % 113.17/113.45 (define @t578 () (not @t577)) % 113.17/113.45 (define @t579 () (and @t578 (not @t513))) % 113.17/113.45 (define @t580 () (or @t579 @t573)) % 113.17/113.45 (define @t581 () (not @t195)) % 113.17/113.45 (define @t582 () (or @t214 @t318 @t212 @t581)) % 113.17/113.45 (define @t583 () (not @t517)) % 113.17/113.45 (define @t584 () (= @t225 @t488)) % 113.17/113.45 (define @t585 () (or @t584 @t577 @t231 @t583 @t500)) % 113.17/113.45 (define @t586 () (not @t496)) % 113.17/113.45 (define @t587 () (not (= @t484 @t224))) % 113.17/113.45 (define @t588 () (or @t587 (= @t483 @t225) @t494 @t493)) % 113.17/113.45 (define @t589 () (not @t588)) % 113.17/113.45 (define @t590 () (@quantifiers_skolemize @t473 1)) % 113.17/113.45 (define @t591 () (@quantifiers_skolemize @t473 0)) % 113.17/113.45 (define @t592 () (tptp.vapp @t591 @t590)) % 113.17/113.45 (define @t593 () (= @t224 @t592)) % 113.17/113.45 (define @t594 () (not (= @t226 (tptp.vapp (tptp.vsubst @t225 @t218 @t591) (tptp.vsubst @t225 @t218 @t590))))) % 113.17/113.45 (define @t595 () (not @t593)) % 113.17/113.45 (define @t596 () (or @t595 @t594)) % 113.17/113.45 (define @t597 () (not @t596)) % 113.17/113.45 (define @t598 () (not (= @t592 @t224))) % 113.17/113.45 (define @t599 () (or @t598 @t594)) % 113.17/113.45 (define @t600 () (not @t599)) % 113.17/113.45 (define @t601 () (@quantifiers_skolemize @t475 0)) % 113.17/113.45 (define @t602 () (tptp.vvar @t601)) % 113.17/113.45 (define @t603 () (not (= @t602 @t224))) % 113.17/113.45 (define @t604 () (= @t224 @t602)) % 113.17/113.45 (define @t605 () (not @t604)) % 113.17/113.45 (define @t606 () (@list @t23)) % 113.17/113.45 (define @t607 () (or @t605 (= @t225 @t601) (not (= @t226 @t602)))) % 113.17/113.45 (define @t608 () (not @t607)) % 113.17/113.45 (define @t609 () (not (= @t602 @t226))) % 113.17/113.45 (define @t610 () (or @t603 (= @t601 @t225) @t609)) % 113.17/113.45 (define @t611 () (not @t610)) % 113.17/113.45 (define @t612 () (not @t463)) % 113.17/113.45 (define @t613 () (not @t478)) % 113.17/113.45 (define @t614 () (@var "BOUND_VARIABLE_8074" $$unsorted)) % 113.17/113.45 (define @t615 () (@var "BOUND_VARIABLE_8068" $$unsorted)) % 113.17/113.45 (define @t616 () (@var "BOUND_VARIABLE_8072" $$unsorted)) % 113.17/113.45 (define @t617 () (@var "BOUND_VARIABLE_8066" $$unsorted)) % 113.17/113.45 (define @t618 () (@var "BOUND_VARIABLE_8070" $$unsorted)) % 113.17/113.45 (define @t619 () (@var "BOUND_VARIABLE_8064" $$unsorted)) % 113.17/113.45 (define @t620 () (forall (@list @t619 @t617 @t615 @t618 @t616 @t614) (or (not (= (tptp.vabs @t619 @t617 @t615) (tptp.vabs @t618 @t616 @t614))) (and (= @t619 @t618) (= @t617 @t616) (= @t615 @t614))))) % 113.17/113.45 (define @t621 () (@var "BOUND_VARIABLE_8097" $$unsorted)) % 113.17/113.45 (define @t622 () (@var "BOUND_VARIABLE_8095" $$unsorted)) % 113.17/113.45 (define @t623 () (@var "BOUND_VARIABLE_8093" $$unsorted)) % 113.17/113.45 (define @t624 () (@list @t623 @t622 @t621)) % 113.17/113.45 (define @t625 () (tptp.vabs @t623 @t622 @t621)) % 113.17/113.45 (define @t626 () (not (= @t621 @t621))) % 113.17/113.45 (define @t627 () (or @t626 (= @t625 @t625))) % 113.17/113.45 (define @t628 () (@var "BOUND_VARIABLE_8091" $$unsorted)) % 113.17/113.45 (define @t629 () (= @t625 (tptp.vabs @t623 @t622 @t628))) % 113.17/113.45 (define @t630 () (not (= @t628 @t621))) % 113.17/113.45 (define @t631 () (or @t630 @t630 @t629)) % 113.17/113.45 (define @t632 () (@list @t628)) % 113.17/113.45 (define @t633 () (or @t630 @t629)) % 113.17/113.45 (define @t634 () (forall @t632 @t633)) % 113.17/113.45 (define @t635 () (forall @t624 @t634)) % 113.17/113.45 (define @t636 () (forall (@list @t623 @t622 @t621 @t628) @t633)) % 113.17/113.45 (define @t637 () (@list @t628 @t623 @t622 @t621)) % 113.17/113.45 (define @t638 () (not (= @t622 @t622))) % 113.17/113.45 (define @t639 () (or @t638 @t630 @t629)) % 113.17/113.45 (define @t640 () (@var "BOUND_VARIABLE_8089" $$unsorted)) % 113.17/113.45 (define @t641 () (tptp.vabs @t623 @t640 @t628)) % 113.17/113.45 (define @t642 () (= @t625 @t641)) % 113.17/113.45 (define @t643 () (not (= @t640 @t622))) % 113.17/113.45 (define @t644 () (or @t643 @t643 @t630 @t642)) % 113.17/113.45 (define @t645 () (@list @t640)) % 113.17/113.45 (define @t646 () (or @t643 @t630 @t642)) % 113.17/113.45 (define @t647 () (forall @t645 @t646)) % 113.17/113.45 (define @t648 () (forall @t637 @t647)) % 113.17/113.45 (define @t649 () (forall (@list @t628 @t623 @t622 @t621 @t640) @t646)) % 113.17/113.45 (define @t650 () (@list @t640 @t628 @t623 @t622 @t621)) % 113.17/113.45 (define @t651 () (not (= @t623 @t623))) % 113.17/113.45 (define @t652 () (or @t651 @t643 @t630 (= @t641 @t625))) % 113.17/113.45 (define @t653 () (@var "BOUND_VARIABLE_8087" $$unsorted)) % 113.17/113.45 (define @t654 () (= (tptp.vabs @t653 @t640 @t628) @t625)) % 113.17/113.45 (define @t655 () (not (= @t653 @t623))) % 113.17/113.45 (define @t656 () (or @t655 @t655 @t643 @t630 @t654)) % 113.17/113.45 (define @t657 () (@list @t653)) % 113.17/113.45 (define @t658 () (or @t655 @t643 @t630 @t654)) % 113.17/113.45 (define @t659 () (forall @t657 @t658)) % 113.17/113.45 (define @t660 () (forall @t650 @t659)) % 113.17/113.45 (define @t661 () (forall (@list @t640 @t628 @t623 @t622 @t621 @t653) @t658)) % 113.17/113.45 (define @t662 () (forall (@list @t653 @t640 @t628 @t623 @t622 @t621) @t658)) % 113.17/113.45 (define @t663 () (not @t12)) % 113.17/113.45 (define @t664 () (not @t13)) % 113.17/113.45 (define @t665 () (not @t5)) % 113.17/113.45 (define @t666 () (or @t665 @t664 @t663 @t11)) % 113.17/113.45 (define @t667 () (forall @t16 @t666)) % 113.17/113.45 (define @t668 () (@list @t2 @t9 @t8 @t1 @t7 @t6)) % 113.17/113.45 (define @t669 () (or (not @t11) @t14)) % 113.17/113.45 (define @t670 () (forall @t16 @t669)) % 113.17/113.45 (define @t671 () (and @t670 @t667)) % 113.17/113.45 (define @t672 () (or @t665 @t664 @t663)) % 113.17/113.45 (define @t673 () (@quantifiers_skolemize @t450 1)) % 113.17/113.45 (define @t674 () (@quantifiers_skolemize @t450 0)) % 113.17/113.45 (define @t675 () (and @t232 (= @t674 @t222) (= @t673 tptp.veabs))) % 113.17/113.45 (define @t676 () (tptp.vabs @t225 @t674 @t673)) % 113.17/113.45 (define @t677 () (not (= @t676 @t224))) % 113.17/113.45 (define @t678 () (or @t677 @t675)) % 113.17/113.45 (define @t679 () (and @t232 (= @t222 @t674) (= tptp.veabs @t673))) % 113.17/113.45 (define @t680 () (= @t224 @t676)) % 113.17/113.45 (define @t681 () (not @t680)) % 113.17/113.45 (define @t682 () (or @t681 @t679)) % 113.17/113.45 (define @t683 () (not @t679)) % 113.17/113.45 (define @t684 () (or @t681 (not (= @t226 @t676)))) % 113.17/113.45 (define @t685 () (not @t684)) % 113.17/113.45 (define @t686 () (@quantifiers_skolemize @t469 2)) % 113.17/113.45 (define @t687 () (@quantifiers_skolemize @t469 1)) % 113.17/113.45 (define @t688 () (@quantifiers_skolemize @t469 0)) % 113.17/113.45 (define @t689 () (not (= @t226 (tptp.vabs @t688 @t687 (tptp.vsubst @t225 @t218 @t686))))) % 113.17/113.45 (define @t690 () (tptp.visFreeVar @t688 @t218)) % 113.17/113.45 (define @t691 () (= @t225 @t688)) % 113.17/113.45 (define @t692 () (tptp.vabs @t688 @t687 @t686)) % 113.17/113.45 (define @t693 () (= @t224 @t692)) % 113.17/113.45 (define @t694 () (not @t693)) % 113.17/113.45 (define @t695 () (or @t694 @t691 @t690 @t689)) % 113.17/113.45 (define @t696 () (not @t695)) % 113.17/113.45 (define @t697 () (not (= @t692 @t224))) % 113.17/113.45 (define @t698 () (or @t697 (= @t688 @t225) @t690 @t689)) % 113.17/113.45 (define @t699 () (not @t698)) % 113.17/113.45 (define @t700 () (@list @t695)) % 113.17/113.45 (define @t701 () (tptp.vsubst @t225 @t218 @t692)) % 113.17/113.45 (define @t702 () (tptp.vtcheck @t219 @t701 @t221)) % 113.17/113.45 (define @t703 () (not @t702)) % 113.17/113.45 (define @t704 () (and @t499 @t693)) % 113.17/113.45 (define @t705 () (tptp.vtcheck @t228 @t692 @t221)) % 113.17/113.45 (define @t706 () (and @t229 @t693)) % 113.17/113.45 (define @t707 () (not @t705)) % 113.17/113.45 (define @t708 () (or @t691 @t690 @t231 @t707 @t702)) % 113.17/113.45 (assume @p1 (forall (@list @t2 @t1) (and (=> @t4 @t5) (=> @t5 @t4)))) % 113.17/113.45 (assume @p2 @t17) % 113.17/113.45 (assume @p3 (forall (@list @t8 @t6 @t19 @t18) (and (=> @t21 @t22) (=> @t22 @t21)))) % 113.17/113.45 (assume @p4 @t23) % 113.17/113.45 (assume @p5 (forall @t24 (not (= @t3 @t20)))) % 113.17/113.45 (assume @p6 (forall (@list @t2 @t9 @t8 @t6 @t19) (not (= @t10 (tptp.vapp @t6 @t19))))) % 113.17/113.45 (assume @p7 (forall (@list @t28 @t27 @t26 @t8) (=> @t30 @t25))) % 113.17/113.45 (assume @p8 (forall (@list @t28 @t8) (=> @t33 @t31))) % 113.17/113.45 (assume @p9 (forall (@list @t35 @t34 @t8) (=> @t37 @t31))) % 113.17/113.45 (assume @p10 (forall (@list @t2 @t8 @t28 @t38) (=> (and @t41 @t33) (and (=> @t39 @t40) (=> @t40 @t39))))) % 113.17/113.45 (assume @p11 (forall (@list @t44 @t2 @t8 @t28 @t38 @t26) (=> (and @t41 (= @t8 (tptp.vabs @t28 @t44 @t26))) (and (=> @t43 @t40) (=> @t40 @t43))))) % 113.17/113.45 (assume @p12 @t51) % 113.17/113.45 (assume @p13 (and (=> @t52 true) (=> true @t52))) % 113.17/113.45 (assume @p14 (forall (@list @t2 @t9 @t54 @t1 @t7 @t53) (and (=> @t56 @t57) (=> @t57 @t56)))) % 113.17/113.45 (assume @p15 (and (=> @t58 true) (=> true @t58))) % 113.17/113.45 (assume @p16 (forall (@list @t9 @t7) (and (=> @t60 @t13) (=> @t13 @t60)))) % 113.17/113.45 (assume @p17 (forall (@list @t2 @t9 @t54) (not (= tptp.vempty @t55)))) % 113.17/113.45 (assume @p18 (forall (@list @t9) (not (= tptp.vnoType @t59)))) % 113.17/113.45 (assume @p19 (forall (@list @t61) (=> (= @t61 tptp.vnoType) (not @t62)))) % 113.17/113.45 (assume @p20 (forall (@list @t26 @t61) (=> @t63 @t62))) % 113.17/113.45 (assume @p21 (forall (@list @t61 @t64 @t26) (=> @t63 (=> (= @t64 (tptp.vgetSomeType @t61)) @t65)))) % 113.17/113.45 (assume @p22 (forall (@list @t28 @t2 @t54 @t64) (=> (and @t70 @t69) (=> @t68 @t66)))) % 113.17/113.45 (assume @p23 (forall (@list @t75 @t28 @t73 @t2 @t54 @t64 @t71) (=> @t78 (=> @t74 (=> @t68 @t72))))) % 113.17/113.45 (assume @p24 (forall (@list @t71 @t73 @t2 @t54 @t64 @t28 @t75) (=> @t78 (=> @t81 (=> @t68 @t80))))) % 113.17/113.45 (assume @p25 (forall (@list @t2 @t54 @t64) (=> (= @t67 @t64) (or (exists @t82 (and @t70 @t69 @t66)) (exists (@list @t75 @t28 @t73 @t71) (and @t70 @t77 @t74 @t72)) (exists (@list @t71 @t73 @t28 @t75) (and @t70 @t77 @t81 @t80)))))) % 113.17/113.45 (assume @p26 (forall @t86 (=> (and @t74 @t85) (tptp.vtcheck @t84 @t26 @t44)))) % 113.17/113.45 (assume @p27 (forall @t86 (=> (and @t81 @t85) (tptp.vtcheck (tptp.vbind @t73 @t71 @t84) @t26 @t44)))) % 113.17/113.45 (assume @p28 @t91) % 113.17/113.45 (assume @p29 (forall (@list @t28 @t73 @t2 @t8 @t6 @t64 @t26) (=> @t97 (=> @t74 (=> @t93 @t65))))) % 113.17/113.45 (assume @p30 (forall (@list @t26 @t28 @t2 @t8 @t6 @t64 @t73) (=> @t97 (=> @t81 (=> @t93 @t98))))) % 113.17/113.45 (assume @p31 (forall (@list @t2 @t8 @t6 @t64 @t35 @t28 @t26 @t34) (=> (and @t70 @t96 @t101) (=> @t93 @t100)))) % 113.17/113.45 (assume @p32 (forall (@list @t26 @t28 @t2 @t8 @t6 @t64 @t73 @t44 @t35) (=> @t105 (=> @t74 (=> @t93 @t103))))) % 113.17/113.45 (assume @p33 (forall (@list @t2 @t8 @t6 @t64 @t28 @t26 @t44 @t73 @t106 @t35) (=> @t105 (=> (and @t81 @t112 @t111) (=> @t93 @t108))))) % 113.17/113.45 (assume @p34 (forall (@list @t2 @t8 @t6 @t64 @t73 @t44 @t28 @t26 @t35) (=> @t105 (=> (and @t81 @t114) (=> @t93 @t113))))) % 113.17/113.45 (assume @p35 @t136) % 113.17/113.45 (assume @p36 (and (=> @t137 true) (=> true @t137))) % 113.17/113.45 (assume @p37 (forall (@list @t8 @t6) (and (=> @t139 @t12) (=> @t12 @t139)))) % 113.17/113.45 (assume @p38 (forall @t140 (not (= tptp.vnoExp @t138)))) % 113.17/113.45 (assume @p39 (forall (@list @t141) (=> (= @t141 tptp.vnoExp) (not @t142)))) % 113.17/113.45 (assume @p40 (forall (@list @t26 @t141) (=> @t143 @t142))) % 113.17/113.45 (assume @p41 (forall (@list @t141 @t64 @t26) (=> @t143 (=> (= @t64 (tptp.vgetSomeExp @t141)) @t65)))) % 113.17/113.45 (assume @p42 (forall (@list @t28 @t8 @t64) (=> @t33 @t147))) % 113.17/113.45 (assume @p43 (forall (@list @t28 @t27 @t26 @t8 @t64) (=> @t30 @t147))) % 113.17/113.45 (assume @p44 (forall (@list @t34 @t8 @t64 @t28 @t27 @t35 @t148) (=> @t153 (=> (and @t152 @t151) (=> @t146 @t150))))) % 113.17/113.45 (assume @p45 (forall (@list @t27 @t148 @t8 @t64 @t28 @t34 @t35) (=> @t153 (=> (and @t152 @t156 @t155) (=> @t146 @t154))))) % 113.17/113.45 (assume @p46 (forall (@list @t28 @t27 @t35 @t148 @t34 @t8 @t64) (=> @t153 (=> (and @t152 @t156 @t157) @t147)))) % 113.17/113.45 (assume @p47 (forall (@list @t35 @t8 @t64 @t158 @t34) (=> @t166 (=> (and @t161 @t160) (=> @t146 @t159))))) % 113.17/113.45 (assume @p48 (forall (@list @t34 @t35 @t158 @t8 @t64) (=> @t166 (=> (and @t161 @t167) @t147)))) % 113.17/113.45 (assume @p49 (forall (@list @t8 @t64) (=> (= @t145 @t64) (or (exists @t82 (and @t33 @t144)) (exists (@list @t28 @t27 @t26) (and @t30 @t144)) (exists (@list @t34 @t28 @t27 @t35 @t148) (and @t153 @t152 @t151 @t150)) (exists (@list @t27 @t148 @t28 @t34 @t35) (and @t153 @t152 @t156 @t155 @t154)) (exists (@list @t28 @t27 @t35 @t148 @t34) (and @t153 @t152 @t156 @t157 @t144)) (exists (@list @t35 @t158 @t34) (and @t37 @t165 @t161 @t160 @t159)) (exists (@list @t34 @t35 @t158) (and @t37 @t165 @t161 @t167 @t144)))))) % 113.17/113.45 (assume @p50 (forall (@list @t9 @t7 @t169 @t168) (and (=> @t170 @t171) (=> @t171 @t170)))) % 113.17/113.45 (assume @p51 (forall (@list @t75 @t28 @t44) (=> @t172 (tptp.vtcheck @t75 @t32 @t44)))) % 113.17/113.45 (assume @p52 (forall (@list @t75 @t28 @t26 @t27 @t44) (=> @t174 (tptp.vtcheck @t75 @t29 @t173)))) % 113.17/113.45 (assume @p53 (forall (@list @t27 @t75 @t35 @t34 @t44) (=> (and @t176 @t175) (tptp.vtcheck @t75 @t36 @t44)))) % 113.17/113.45 (assume @p54 (forall (@list @t26 @t44 @t75) (=> @t179 (or (exists @t82 (and (= @t26 @t32) @t172)) (exists (@list @t28 @t34 @t178 @t177) (and (= @t26 (tptp.vabs @t28 @t178 @t34)) (= @t44 (tptp.varrow @t178 @t177)) (tptp.vtcheck (tptp.vbind @t28 @t178 @t75) @t34 @t177))) (exists (@list @t35 @t34 @t27) (and (= @t26 @t36) @t176 @t175)))))) % 113.17/113.45 (assume @p55 (forall @t180 (tptp.valphaEquivalent @t26 @t26))) % 113.17/113.45 (assume @p56 (forall (@list @t34 @t35) (=> @t181 (tptp.valphaEquivalent @t34 @t35)))) % 113.17/113.45 (assume @p57 (forall (@list @t34 @t35 @t182) (=> (and @t181 (tptp.valphaEquivalent @t34 @t182)) (tptp.valphaEquivalent @t35 @t182)))) % 113.17/113.45 (assume @p58 @t184) % 113.17/113.45 (assume @p59 @t188) % 113.17/113.45 (assume @p60 (forall @t190 (=> (and @t189 @t186) (not (tptp.visFreeVar @t28 @t35))))) % 113.17/113.45 (assume @p61 (forall @t191 (=> (and (= @t79 tptp.vnoType) @t179) @t174))) % 113.17/113.45 (assume @p62 (forall @t191 (=> (and @t189 @t174) @t179))) % 113.17/113.45 (assume @p63 (forall @t191 (=> (and @t189 @t179) @t174))) % 113.17/113.45 (assume @p64 @t197) % 113.17/113.45 (assume @p65 @t200) % 113.17/113.45 (assume @p66 @t203) % 113.17/113.45 (assume @p67 @t210) % 113.17/113.45 (assume @p68 true) % 113.17/113.45 (step @p69 :rule aci_norm :args ((= (or (or @t74 @t114 @t212 @t211) @t205) @t213))) % 113.17/113.45 (step @p70 :rule refl :args (@t205)) % 113.17/113.45 (step @p71 :rule refl :args (@t211)) % 113.17/113.45 (step @p72 :rule refl :args (@t212)) % 113.17/113.45 (step @p73 :rule refl :args (@t114)) % 113.17/113.45 (step @p74 :rule bool-double-not-elim :args (@t74)) % 113.17/113.45 (step @p75 :rule nary_cong :premises (@p74 @p73 @p72 @p71) :args (@t215)) % 113.17/113.45 (step @p76 :rule aci_norm :args ((= (or @t214 (or @t114 (or @t212 @t211))) @t215))) % 113.17/113.45 (step @p77 :rule trans :premises (@p76 @p75)) % 113.17/113.45 (step @p78 :rule bool-and-de-morgan :args (@t179 @t206 true)) % 113.17/113.45 (step @p79 :rule nary_cong :premises (@p73 @p78) :args ((or @t114 (not (and @t179 @t206))))) % 113.17/113.45 (step @p80 :rule bool-and-de-morgan :args (@t112 @t179 (and @t206))) % 113.17/113.45 (step @p81 :rule trans :premises (@p80 @p79)) % 113.17/113.45 (step @p82 :rule refl :args (@t214)) % 113.17/113.45 (step @p83 :rule nary_cong :premises (@p82 @p81) :args ((or @t214 (not (and @t112 @t179 @t206))))) % 113.17/113.45 (step @p84 :rule bool-and-de-morgan :args (@t81 @t112 (and @t179 @t206))) % 113.17/113.45 (step @p85 :rule trans :premises (@p84 @p83)) % 113.17/113.45 (step @p86 :rule trans :premises (@p85 @p77)) % 113.17/113.45 (step @p87 :rule nary_cong :premises (@p86 @p70) :args ((or (not @t207) @t205))) % 113.17/113.45 (step @p88 :rule trans :premises (@p87 @p69)) % 113.17/113.45 (step @p89 :rule bool-impl-elim :args (@t207 @t205)) % 113.17/113.45 (step @p90 :rule trans :premises (@p89 @p88)) % 113.17/113.45 (step @p91 :rule cong :premises (@p90) :args (@t209)) % 113.17/113.45 (step @p92 :rule cong :premises (@p91) :args (@t210)) % 113.17/113.45 (step @p93 :rule eq_resolve :premises (@p67 @p92)) % 113.17/113.45 (step @p94 :rule skolemize :premises (@p93)) % 113.17/113.45 (step @p95 :rule bool-double-not-elim :args (@t220)) % 113.17/113.45 (step @p96 :rule refl :args (@t233)) % 113.17/113.45 (step @p97 :rule nary_cong :premises (@p96 @p95) :args ((or @t233 (not @t231)))) % 113.17/113.45 (step @p98 :rule cnf_or_neg :args (@t233 2)) % 113.17/113.45 (step @p99 :rule eq_resolve :premises (@p98 @p97)) % 113.17/113.45 (step @p100 :rule reordering :premises (@p99) :args ((or @t220 @t233))) % 113.17/113.45 (step @p101 :rule chain_m_resolution :premises (@p100 @p94) :args (@t220 @t234 @t235)) % 113.17/113.45 (step @p102 :rule aci_norm :args ((= (or false @t260 @t258 @t255 @t251 @t247 @t242) @t261))) % 113.17/113.45 (step @p103 :rule refl :args (@t242)) % 113.17/113.45 (step @p104 :rule refl :args (@t247)) % 113.17/113.45 (step @p105 :rule refl :args (@t251)) % 113.17/113.45 (step @p106 :rule refl :args (@t255)) % 113.17/113.45 (step @p107 :rule eq-symm :args (@t92 @t94)) % 113.17/113.45 (step @p108 :rule cong :premises (@p107) :args (@t262)) % 113.17/113.45 (step @p109 :rule refl :args (@t239)) % 113.17/113.45 (step @p110 :rule refl :args (@t256)) % 113.17/113.45 (step @p111 :rule nary_cong :premises (@p110 @p109 @p108) :args (@t263)) % 113.17/113.45 (step @p112 :rule cong :premises (@p111) :args (@t264)) % 113.17/113.45 (step @p113 :rule cong :premises (@p112) :args (@t265)) % 113.17/113.45 (step @p114 :rule refl :args (@t260)) % 113.17/113.45 (step @p115 :rule evaluate :args ((not true))) % 113.17/113.45 (step @p116 :rule eq-refl :args (@t92)) % 113.17/113.45 (step @p117 :rule cong :premises (@p116) :args (@t266)) % 113.17/113.45 (step @p118 :rule trans :premises (@p117 @p115)) % 113.17/113.45 (step @p119 :rule nary_cong :premises (@p118 @p114 @p113 @p106 @p105 @p104 @p103) :args (@t267)) % 113.17/113.45 (step @p120 :rule trans :premises (@p119 @p102)) % 113.17/113.45 (step @p121 :rule cong :premises (@p120) :args ((forall @t24 @t267))) % 113.17/113.45 (step @p122 :rule quant-var-elim-eq :args ((= (forall @t289 @t288) @t267))) % 113.17/113.45 (step @p123 :rule aci_norm :args ((= @t290 @t288))) % 113.17/113.45 (step @p124 :rule cong :premises (@p123) :args (@t291)) % 113.17/113.45 (step @p125 :rule trans :premises (@p124 @p122)) % 113.17/113.45 (step @p126 :rule cong :premises (@p125) :args (@t292)) % 113.17/113.45 (step @p127 :rule quant-merge-prenex :args ((= @t292 (forall @t135 @t290)))) % 113.17/113.45 (step @p128 :rule symm :premises (@p127)) % 113.17/113.45 (step @p129 :rule trans :premises (@p128 @p126)) % 113.17/113.45 (step @p130 :rule trans :premises (@p129 @p121)) % 113.17/113.45 (step @p131 :rule aci_norm :args ((= (or @t287 (or @t286 @t284 @t280 @t277 @t273 @t270)) @t290))) % 113.17/113.45 (step @p132 :rule refl :args (@t270)) % 113.17/113.45 (step @p133 :rule refl :args (@t273)) % 113.17/113.45 (step @p134 :rule refl :args (@t277)) % 113.17/113.45 (step @p135 :rule refl :args (@t280)) % 113.17/113.45 (step @p136 :rule refl :args (@t284)) % 113.17/113.45 (step @p137 :rule bool-double-not-elim :args (@t285)) % 113.17/113.45 (step @p138 :rule bool-double-not-elim :args (@t259)) % 113.17/113.45 (step @p139 :rule nary_cong :premises (@p138 @p137) :args ((and (not @t294) (not @t293)))) % 113.17/113.45 (step @p140 :rule bool-or-de-morgan :args (@t294 @t293 false)) % 113.17/113.45 (step @p141 :rule trans :premises (@p140 @p139)) % 113.17/113.45 (step @p142 :rule nary_cong :premises (@p141 @p136 @p135 @p134 @p133 @p132) :args (@t295)) % 113.17/113.45 (step @p143 :rule refl :args (@t287)) % 113.17/113.45 (step @p144 :rule nary_cong :premises (@p143 @p142) :args ((or @t287 @t295))) % 113.17/113.45 (step @p145 :rule trans :premises (@p144 @p131)) % 113.17/113.45 (step @p146 :rule bool-impl-elim :args (@t93 @t295)) % 113.17/113.45 (step @p147 :rule trans :premises (@p146 @p145)) % 113.17/113.45 (step @p148 :rule cong :premises (@p147) :args ((forall @t135 (=> @t93 @t295)))) % 113.17/113.45 (step @p149 :rule trans :premises (@p148 @p130)) % 113.17/113.45 (step @p150 :rule aci_norm :args ((= (or false @t240 @t239 @t238 @t268) @t269))) % 113.17/113.45 (step @p151 :rule refl :args (@t268)) % 113.17/113.45 (step @p152 :rule refl :args (@t238)) % 113.17/113.45 (step @p153 :rule refl :args (@t240)) % 113.17/113.45 (step @p154 :rule eq-refl :args (@t8)) % 113.17/113.45 (step @p155 :rule cong :premises (@p154) :args (@t296)) % 113.17/113.45 (step @p156 :rule trans :premises (@p155 @p115)) % 113.17/113.45 (step @p157 :rule nary_cong :premises (@p156 @p153 @p109 @p152 @p151) :args (@t297)) % 113.17/113.45 (step @p158 :rule trans :premises (@p157 @p150)) % 113.17/113.45 (step @p159 :rule cong :premises (@p158) :args ((forall @t241 @t297))) % 113.17/113.45 (step @p160 :rule quant-var-elim-eq :args ((= (forall @t180 (or @t301 @t300 @t240 @t239 @t112 @t299)) @t297))) % 113.17/113.45 (step @p161 :rule refl :args (@t299)) % 113.17/113.45 (step @p162 :rule refl :args (@t112)) % 113.17/113.45 (step @p163 :rule refl :args (@t239)) % 113.17/113.45 (step @p164 :rule refl :args (@t240)) % 113.17/113.45 (step @p165 :rule refl :args (@t300)) % 113.17/113.45 (step @p166 :rule eq-symm :args (@t8 @t26)) % 113.17/113.45 (step @p167 :rule cong :premises (@p166) :args (@t300)) % 113.17/113.45 (step @p168 :rule nary_cong :premises (@p167 @p165 @p164 @p163 @p162 @p161) :args (@t302)) % 113.17/113.45 (step @p169 :rule aci_norm :args ((= @t303 @t302))) % 113.17/113.45 (step @p170 :rule trans :premises (@p169 @p168)) % 113.17/113.45 (step @p171 :rule cong :premises (@p170) :args (@t304)) % 113.17/113.45 (step @p172 :rule trans :premises (@p171 @p160)) % 113.17/113.45 (step @p173 :rule cong :premises (@p172) :args (@t305)) % 113.17/113.45 (step @p174 :rule quant-merge-prenex :args ((= @t305 @t306))) % 113.17/113.45 (step @p175 :rule symm :premises (@p174)) % 113.17/113.45 (step @p176 :rule quant_var_reordering :args ((= (forall @t307 @t303) @t306))) % 113.17/113.45 (step @p177 :rule trans :premises (@p176 @p175 @p173)) % 113.17/113.45 (step @p178 :rule trans :premises (@p177 @p159)) % 113.17/113.45 (step @p179 :rule aci_norm :args ((= (or false @t300 @t240 @t239 @t112 @t299) @t303))) % 113.17/113.45 (step @p180 :rule refl :args (@t299)) % 113.17/113.45 (step @p181 :rule refl :args (@t112)) % 113.17/113.45 (step @p182 :rule refl :args (@t300)) % 113.17/113.45 (step @p183 :rule eq-refl :args (@t2)) % 113.17/113.45 (step @p184 :rule cong :premises (@p183) :args (@t308)) % 113.17/113.45 (step @p185 :rule trans :premises (@p184 @p115)) % 113.17/113.45 (step @p186 :rule nary_cong :premises (@p185 @p182 @p153 @p109 @p181 @p180) :args (@t309)) % 113.17/113.45 (step @p187 :rule trans :premises (@p186 @p179)) % 113.17/113.45 (step @p188 :rule cong :premises (@p187) :args ((forall @t307 @t309))) % 113.17/113.45 (step @p189 :rule trans :premises (@p188 @p178)) % 113.17/113.45 (step @p190 :rule quant-var-elim-eq :args ((= (forall @t82 (or @t312 @t311 @t300 @t240 @t74 @t112 @t310)) @t309))) % 113.17/113.45 (step @p191 :rule refl :args (@t310)) % 113.17/113.45 (step @p192 :rule refl :args (@t74)) % 113.17/113.45 (step @p193 :rule refl :args (@t311)) % 113.17/113.45 (step @p194 :rule eq-symm :args (@t2 @t28)) % 113.17/113.45 (step @p195 :rule cong :premises (@p194) :args (@t311)) % 113.17/113.45 (step @p196 :rule nary_cong :premises (@p195 @p193 @p165 @p164 @p192 @p162 @p191) :args (@t313)) % 113.17/113.45 (step @p197 :rule aci_norm :args ((= @t314 @t313))) % 113.17/113.45 (step @p198 :rule trans :premises (@p197 @p196)) % 113.17/113.45 (step @p199 :rule cong :premises (@p198) :args (@t315)) % 113.17/113.45 (step @p200 :rule trans :premises (@p199 @p190)) % 113.17/113.45 (step @p201 :rule cong :premises (@p200) :args (@t316)) % 113.17/113.45 (step @p202 :rule quant-merge-prenex :args ((= @t316 @t317))) % 113.17/113.45 (step @p203 :rule symm :premises (@p202)) % 113.17/113.45 (step @p204 :rule quant_var_reordering :args ((= (forall @t116 @t314) @t317))) % 113.17/113.45 (step @p205 :rule trans :premises (@p204 @p203 @p201)) % 113.17/113.45 (step @p206 :rule trans :premises (@p205 @p189)) % 113.17/113.45 (step @p207 :rule bool-double-not-elim :args (@t112)) % 113.17/113.45 (step @p208 :rule nary_cong :premises (@p193 @p165 @p164 @p74 @p207 @p191) :args (@t319)) % 113.17/113.45 (step @p209 :rule aci_norm :args ((= (or @t311 (or @t300 (or @t240 (or @t214 (or @t318 @t310))))) @t319))) % 113.17/113.45 (step @p210 :rule trans :premises (@p209 @p208)) % 113.17/113.45 (step @p211 :rule bool-and-de-morgan :args (@t114 @t113 true)) % 113.17/113.45 (step @p212 :rule nary_cong :premises (@p82 @p211) :args ((or @t214 (not (and @t114 @t113))))) % 113.17/113.45 (step @p213 :rule bool-and-de-morgan :args (@t81 @t114 (and @t113))) % 113.17/113.45 (step @p214 :rule trans :premises (@p213 @p212)) % 113.17/113.45 (step @p215 :rule nary_cong :premises (@p164 @p214) :args ((or @t240 (not (and @t81 @t114 @t113))))) % 113.17/113.45 (step @p216 :rule bool-and-de-morgan :args (@t104 @t81 (and @t114 @t113))) % 113.17/113.45 (step @p217 :rule trans :premises (@p216 @p215)) % 113.17/113.45 (step @p218 :rule nary_cong :premises (@p165 @p217) :args ((or @t300 (not (and @t104 @t81 @t114 @t113))))) % 113.17/113.45 (step @p219 :rule bool-and-de-morgan :args (@t96 @t104 (and @t81 @t114 @t113))) % 113.17/113.45 (step @p220 :rule trans :premises (@p219 @p218)) % 113.17/113.45 (step @p221 :rule nary_cong :premises (@p193 @p220) :args ((or @t311 (not (and @t96 @t104 @t81 @t114 @t113))))) % 113.17/113.45 (step @p222 :rule bool-and-de-morgan :args (@t70 @t96 (and @t104 @t81 @t114 @t113))) % 113.17/113.45 (step @p223 :rule trans :premises (@p222 @p221)) % 113.17/113.45 (step @p224 :rule trans :premises (@p223 @p210)) % 113.17/113.45 (step @p225 :rule cong :premises (@p224) :args (@t320)) % 113.17/113.45 (step @p226 :rule trans :premises (@p225 @p206)) % 113.17/113.45 (step @p227 :rule cong :premises (@p226) :args (@t321)) % 113.17/113.45 (step @p228 :rule exists-elim :args ((= @t117 @t321))) % 113.17/113.45 (step @p229 :rule trans :premises (@p228 @p227)) % 113.17/113.45 (step @p230 :rule aci_norm :args ((= (or @t240 @t239 @t245 false @t271) @t272))) % 113.17/113.45 (step @p231 :rule refl :args (@t271)) % 113.17/113.45 (step @p232 :rule eq-refl :args (@t243)) % 113.17/113.45 (step @p233 :rule cong :premises (@p232) :args (@t322)) % 113.17/113.45 (step @p234 :rule trans :premises (@p233 @p115)) % 113.17/113.45 (step @p235 :rule refl :args (@t245)) % 113.17/113.45 (step @p236 :rule nary_cong :premises (@p153 @p109 @p235 @p234 @p231) :args (@t323)) % 113.17/113.45 (step @p237 :rule trans :premises (@p236 @p230)) % 113.17/113.45 (step @p238 :rule cong :premises (@p237) :args ((forall @t246 @t323))) % 113.17/113.45 (step @p239 :rule quant-var-elim-eq :args ((= (forall @t327 @t326) @t323))) % 113.17/113.45 (step @p240 :rule aci_norm :args ((= @t328 @t326))) % 113.17/113.45 (step @p241 :rule cong :premises (@p240) :args (@t329)) % 113.17/113.45 (step @p242 :rule trans :premises (@p241 @p239)) % 113.17/113.45 (step @p243 :rule cong :premises (@p242) :args (@t330)) % 113.17/113.45 (step @p244 :rule quant-merge-prenex :args ((= @t330 @t331))) % 113.17/113.45 (step @p245 :rule symm :premises (@p244)) % 113.17/113.45 (step @p246 :rule quant_var_reordering :args ((= (forall @t332 @t328) @t331))) % 113.17/113.45 (step @p247 :rule trans :premises (@p246 @p245 @p243)) % 113.17/113.45 (step @p248 :rule trans :premises (@p247 @p238)) % 113.17/113.45 (step @p249 :rule aci_norm :args ((= (or false @t240 @t239 @t245 @t325 @t324) @t328))) % 113.17/113.45 (step @p250 :rule refl :args (@t324)) % 113.17/113.45 (step @p251 :rule refl :args (@t325)) % 113.17/113.45 (step @p252 :rule nary_cong :premises (@p156 @p153 @p109 @p235 @p251 @p250) :args (@t333)) % 113.17/113.45 (step @p253 :rule trans :premises (@p252 @p249)) % 113.17/113.45 (step @p254 :rule cong :premises (@p253) :args ((forall @t332 @t333))) % 113.17/113.45 (step @p255 :rule trans :premises (@p254 @p248)) % 113.17/113.45 (step @p256 :rule quant-var-elim-eq :args ((= (forall @t180 (or @t301 @t300 @t240 @t239 @t114 @t335 @t334)) @t333))) % 113.17/113.45 (step @p257 :rule refl :args (@t334)) % 113.17/113.45 (step @p258 :rule refl :args (@t335)) % 113.17/113.45 (step @p259 :rule nary_cong :premises (@p167 @p165 @p164 @p163 @p73 @p258 @p257) :args (@t336)) % 113.17/113.45 (step @p260 :rule aci_norm :args ((= @t337 @t336))) % 113.17/113.45 (step @p261 :rule trans :premises (@p260 @p259)) % 113.17/113.45 (step @p262 :rule cong :premises (@p261) :args (@t338)) % 113.17/113.45 (step @p263 :rule trans :premises (@p262 @p256)) % 113.17/113.45 (step @p264 :rule cong :premises (@p263) :args (@t339)) % 113.17/113.45 (step @p265 :rule quant-merge-prenex :args ((= @t339 @t340))) % 113.17/113.45 (step @p266 :rule symm :premises (@p265)) % 113.17/113.45 (step @p267 :rule quant_var_reordering :args ((= (forall @t341 @t337) @t340))) % 113.17/113.45 (step @p268 :rule trans :premises (@p267 @p266 @p264)) % 113.17/113.45 (step @p269 :rule trans :premises (@p268 @p255)) % 113.17/113.45 (step @p270 :rule aci_norm :args ((= (or false @t300 @t240 @t239 @t114 @t335 @t334) @t337))) % 113.17/113.45 (step @p271 :rule refl :args (@t334)) % 113.17/113.45 (step @p272 :rule refl :args (@t335)) % 113.17/113.45 (step @p273 :rule refl :args (@t114)) % 113.17/113.45 (step @p274 :rule nary_cong :premises (@p185 @p182 @p153 @p109 @p273 @p272 @p271) :args (@t342)) % 113.17/113.45 (step @p275 :rule trans :premises (@p274 @p270)) % 113.17/113.45 (step @p276 :rule cong :premises (@p275) :args ((forall @t341 @t342))) % 113.17/113.45 (step @p277 :rule trans :premises (@p276 @p269)) % 113.17/113.45 (step @p278 :rule quant-var-elim-eq :args ((= (forall @t82 (or @t312 @t311 @t300 @t240 @t74 @t114 @t344 @t343)) @t342))) % 113.17/113.45 (step @p279 :rule refl :args (@t343)) % 113.17/113.45 (step @p280 :rule refl :args (@t344)) % 113.17/113.45 (step @p281 :rule nary_cong :premises (@p195 @p193 @p165 @p164 @p192 @p73 @p280 @p279) :args (@t345)) % 113.17/113.45 (step @p282 :rule aci_norm :args ((= @t346 @t345))) % 113.17/113.45 (step @p283 :rule trans :premises (@p282 @p281)) % 113.17/113.45 (step @p284 :rule cong :premises (@p283) :args (@t347)) % 113.17/113.45 (step @p285 :rule trans :premises (@p284 @p278)) % 113.17/113.45 (step @p286 :rule cong :premises (@p285) :args (@t348)) % 113.17/113.45 (step @p287 :rule quant-merge-prenex :args ((= @t348 @t349))) % 113.17/113.45 (step @p288 :rule symm :premises (@p287)) % 113.17/113.45 (step @p289 :rule quant_var_reordering :args ((= (forall @t119 @t346) @t349))) % 113.17/113.45 (step @p290 :rule trans :premises (@p289 @p288 @p286)) % 113.17/113.45 (step @p291 :rule trans :premises (@p290 @p277)) % 113.17/113.45 (step @p292 :rule nary_cong :premises (@p193 @p165 @p164 @p74 @p73 @p280 @p279) :args (@t350)) % 113.17/113.45 (step @p293 :rule aci_norm :args ((= (or @t311 (or @t300 (or @t240 (or @t214 (or @t114 (or @t344 @t343)))))) @t350))) % 113.17/113.45 (step @p294 :rule trans :premises (@p293 @p292)) % 113.17/113.45 (step @p295 :rule bool-and-de-morgan :args (@t111 @t108 true)) % 113.17/113.45 (step @p296 :rule nary_cong :premises (@p73 @p295) :args ((or @t114 (not (and @t111 @t108))))) % 113.17/113.45 (step @p297 :rule bool-and-de-morgan :args (@t112 @t111 (and @t108))) % 113.17/113.45 (step @p298 :rule trans :premises (@p297 @p296)) % 113.17/113.45 (step @p299 :rule nary_cong :premises (@p82 @p298) :args ((or @t214 (not (and @t112 @t111 @t108))))) % 113.17/113.45 (step @p300 :rule bool-and-de-morgan :args (@t81 @t112 (and @t111 @t108))) % 113.17/113.45 (step @p301 :rule trans :premises (@p300 @p299)) % 113.17/113.45 (step @p302 :rule nary_cong :premises (@p164 @p301) :args ((or @t240 (not (and @t81 @t112 @t111 @t108))))) % 113.17/113.45 (step @p303 :rule bool-and-de-morgan :args (@t104 @t81 (and @t112 @t111 @t108))) % 113.17/113.45 (step @p304 :rule trans :premises (@p303 @p302)) % 113.17/113.45 (step @p305 :rule nary_cong :premises (@p165 @p304) :args ((or @t300 (not (and @t104 @t81 @t112 @t111 @t108))))) % 113.17/113.45 (step @p306 :rule bool-and-de-morgan :args (@t96 @t104 (and @t81 @t112 @t111 @t108))) % 113.17/113.45 (step @p307 :rule trans :premises (@p306 @p305)) % 113.17/113.45 (step @p308 :rule nary_cong :premises (@p193 @p307) :args ((or @t311 (not (and @t96 @t104 @t81 @t112 @t111 @t108))))) % 113.17/113.45 (step @p309 :rule bool-and-de-morgan :args (@t70 @t96 (and @t104 @t81 @t112 @t111 @t108))) % 113.17/113.45 (step @p310 :rule trans :premises (@p309 @p308)) % 113.17/113.45 (step @p311 :rule trans :premises (@p310 @p294)) % 113.17/113.45 (step @p312 :rule cong :premises (@p311) :args (@t351)) % 113.17/113.45 (step @p313 :rule trans :premises (@p312 @p291)) % 113.17/113.45 (step @p314 :rule cong :premises (@p313) :args (@t352)) % 113.17/113.45 (step @p315 :rule exists-elim :args ((= @t120 @t352))) % 113.17/113.45 (step @p316 :rule trans :premises (@p315 @p314)) % 113.17/113.45 (step @p317 :rule aci_norm :args ((= (or @t276 false) @t276))) % 113.17/113.45 (step @p318 :rule quant-var-elim-eq :args ((= (forall @t180 (or @t301 @t300)) @t296))) % 113.17/113.45 (step @p319 :rule nary_cong :premises (@p167 @p165) :args (@t353)) % 113.17/113.45 (step @p320 :rule aci_norm :args ((= @t300 @t353))) % 113.17/113.45 (step @p321 :rule trans :premises (@p320 @p319)) % 113.17/113.45 (step @p322 :rule cong :premises (@p321) :args (@t354)) % 113.17/113.45 (step @p323 :rule trans :premises (@p322 @p318)) % 113.17/113.45 (step @p324 :rule trans :premises (@p323 @p156)) % 113.17/113.45 (step @p325 :rule aci_norm :args ((= (or @t249 false @t274) @t275))) % 113.17/113.45 (step @p326 :rule refl :args (@t274)) % 113.17/113.45 (step @p327 :rule refl :args (@t249)) % 113.17/113.45 (step @p328 :rule nary_cong :premises (@p327 @p185 @p326) :args (@t355)) % 113.17/113.45 (step @p329 :rule trans :premises (@p328 @p325)) % 113.17/113.45 (step @p330 :rule cong :premises (@p329) :args ((forall @t250 @t355))) % 113.17/113.45 (step @p331 :rule quant-var-elim-eq :args ((= (forall @t257 (or @t358 @t240 @t357 @t356)) @t355))) % 113.17/113.45 (step @p332 :rule refl :args (@t356)) % 113.17/113.45 (step @p333 :rule refl :args (@t357)) % 113.17/113.45 (step @p334 :rule eq-symm :args (@t2 @t73)) % 113.17/113.45 (step @p335 :rule cong :premises (@p334) :args (@t357)) % 113.17/113.45 (step @p336 :rule nary_cong :premises (@p335 @p164 @p333 @p332) :args (@t359)) % 113.17/113.45 (step @p337 :rule aci_norm :args ((= @t360 @t359))) % 113.17/113.45 (step @p338 :rule trans :premises (@p337 @p336)) % 113.17/113.45 (step @p339 :rule cong :premises (@p338) :args (@t361)) % 113.17/113.45 (step @p340 :rule trans :premises (@p339 @p331)) % 113.17/113.45 (step @p341 :rule cong :premises (@p340) :args (@t362)) % 113.17/113.45 (step @p342 :rule quant-merge-prenex :args ((= @t362 @t363))) % 113.17/113.45 (step @p343 :rule symm :premises (@p342)) % 113.17/113.45 (step @p344 :rule quant_var_reordering :args ((= (forall @t241 @t360) @t363))) % 113.17/113.45 (step @p345 :rule trans :premises (@p344 @p343 @p341)) % 113.17/113.45 (step @p346 :rule trans :premises (@p345 @p330)) % 113.17/113.45 (step @p347 :rule aci_norm :args ((= (or false @t240 @t357 @t356) @t360))) % 113.17/113.45 (step @p348 :rule refl :args (@t356)) % 113.17/113.45 (step @p349 :rule refl :args (@t357)) % 113.17/113.45 (step @p350 :rule nary_cong :premises (@p185 @p153 @p349 @p348) :args (@t364)) % 113.17/113.45 (step @p351 :rule trans :premises (@p350 @p347)) % 113.17/113.45 (step @p352 :rule cong :premises (@p351) :args ((forall @t241 @t364))) % 113.17/113.45 (step @p353 :rule trans :premises (@p352 @p346)) % 113.17/113.45 (step @p354 :rule quant-var-elim-eq :args ((= (forall @t82 (or @t312 @t311 @t240 @t81 @t356)) @t364))) % 113.17/113.45 (step @p355 :rule refl :args (@t81)) % 113.17/113.45 (step @p356 :rule nary_cong :premises (@p195 @p193 @p164 @p355 @p332) :args (@t365)) % 113.17/113.45 (step @p357 :rule aci_norm :args ((= @t366 @t365))) % 113.17/113.45 (step @p358 :rule trans :premises (@p357 @p356)) % 113.17/113.45 (step @p359 :rule cong :premises (@p358) :args (@t367)) % 113.17/113.45 (step @p360 :rule trans :premises (@p359 @p354)) % 113.17/113.45 (step @p361 :rule cong :premises (@p360) :args (@t368)) % 113.17/113.45 (step @p362 :rule quant-merge-prenex :args ((= @t368 @t369))) % 113.17/113.45 (step @p363 :rule symm :premises (@p362)) % 113.17/113.45 (step @p364 :rule quant_var_reordering :args ((= @t370 @t369))) % 113.17/113.45 (step @p365 :rule trans :premises (@p364 @p363 @p361)) % 113.17/113.45 (step @p366 :rule trans :premises (@p365 @p353)) % 113.17/113.45 (step @p367 :rule nary_cong :premises (@p366 @p324) :args (@t371)) % 113.17/113.45 (step @p368 :rule trans :premises (@p367 @p317)) % 113.17/113.45 (step @p369 :rule quant-miniscope-or :args ((= (forall @t373 @t372) @t371))) % 113.17/113.45 (step @p370 :rule aci_norm :args ((= @t374 @t372))) % 113.17/113.45 (step @p371 :rule cong :premises (@p370) :args (@t375)) % 113.17/113.45 (step @p372 :rule quant_var_reordering :args ((= (forall @t122 @t374) @t375))) % 113.17/113.45 (step @p373 :rule trans :premises (@p372 @p371 @p369)) % 113.17/113.45 (step @p374 :rule trans :premises (@p373 @p368)) % 113.17/113.45 (step @p375 :rule aci_norm :args ((= (or @t311 (or @t300 (or @t240 (or @t81 @t356)))) @t374))) % 113.17/113.45 (step @p376 :rule bool-and-de-morgan :args (@t74 @t103 true)) % 113.17/113.45 (step @p377 :rule nary_cong :premises (@p164 @p376) :args ((or @t240 (not (and @t74 @t103))))) % 113.17/113.45 (step @p378 :rule bool-and-de-morgan :args (@t104 @t74 (and @t103))) % 113.17/113.45 (step @p379 :rule trans :premises (@p378 @p377)) % 113.17/113.45 (step @p380 :rule nary_cong :premises (@p165 @p379) :args ((or @t300 (not (and @t104 @t74 @t103))))) % 113.17/113.45 (step @p381 :rule bool-and-de-morgan :args (@t96 @t104 (and @t74 @t103))) % 113.17/113.45 (step @p382 :rule trans :premises (@p381 @p380)) % 113.17/113.45 (step @p383 :rule nary_cong :premises (@p193 @p382) :args ((or @t311 (not (and @t96 @t104 @t74 @t103))))) % 113.17/113.45 (step @p384 :rule bool-and-de-morgan :args (@t70 @t96 (and @t104 @t74 @t103))) % 113.17/113.45 (step @p385 :rule trans :premises (@p384 @p383)) % 113.17/113.45 (step @p386 :rule trans :premises (@p385 @p375)) % 113.17/113.45 (step @p387 :rule cong :premises (@p386) :args (@t376)) % 113.17/113.45 (step @p388 :rule trans :premises (@p387 @p374)) % 113.17/113.45 (step @p389 :rule cong :premises (@p388) :args (@t377)) % 113.17/113.45 (step @p390 :rule exists-elim :args ((= @t123 @t377))) % 113.17/113.45 (step @p391 :rule trans :premises (@p390 @p389)) % 113.17/113.45 (step @p392 :rule aci_norm :args ((= (or false @t253 @t278) @t279))) % 113.17/113.45 (step @p393 :rule refl :args (@t278)) % 113.17/113.45 (step @p394 :rule refl :args (@t253)) % 113.17/113.45 (step @p395 :rule nary_cong :premises (@p156 @p394 @p393) :args (@t378)) % 113.17/113.45 (step @p396 :rule trans :premises (@p395 @p392)) % 113.17/113.45 (step @p397 :rule cong :premises (@p396) :args ((forall @t254 @t378))) % 113.17/113.45 (step @p398 :rule quant-var-elim-eq :args ((= (forall @t180 (or @t301 @t300 @t253 @t379)) @t378))) % 113.17/113.45 (step @p399 :rule refl :args (@t379)) % 113.17/113.45 (step @p400 :rule refl :args (@t253)) % 113.17/113.45 (step @p401 :rule nary_cong :premises (@p167 @p165 @p400 @p399) :args (@t380)) % 113.17/113.45 (step @p402 :rule aci_norm :args ((= @t381 @t380))) % 113.17/113.45 (step @p403 :rule trans :premises (@p402 @p401)) % 113.17/113.45 (step @p404 :rule cong :premises (@p403) :args (@t382)) % 113.17/113.45 (step @p405 :rule trans :premises (@p404 @p398)) % 113.17/113.45 (step @p406 :rule cong :premises (@p405) :args (@t383)) % 113.17/113.45 (step @p407 :rule quant-merge-prenex :args ((= @t383 @t384))) % 113.17/113.45 (step @p408 :rule symm :premises (@p407)) % 113.17/113.45 (step @p409 :rule quant_var_reordering :args ((= (forall @t385 @t381) @t384))) % 113.17/113.45 (step @p410 :rule trans :premises (@p409 @p408 @p406)) % 113.17/113.45 (step @p411 :rule trans :premises (@p410 @p397)) % 113.17/113.45 (step @p412 :rule aci_norm :args ((= (or false @t300 @t253 @t379) @t381))) % 113.17/113.45 (step @p413 :rule refl :args (@t379)) % 113.17/113.45 (step @p414 :rule nary_cong :premises (@p185 @p182 @p394 @p413) :args (@t386)) % 113.17/113.45 (step @p415 :rule trans :premises (@p414 @p412)) % 113.17/113.45 (step @p416 :rule cong :premises (@p415) :args ((forall @t385 @t386))) % 113.17/113.45 (step @p417 :rule trans :premises (@p416 @p411)) % 113.17/113.45 (step @p418 :rule quant-var-elim-eq :args ((= (forall @t82 (or @t312 @t311 @t300 @t253 @t387)) @t386))) % 113.17/113.45 (step @p419 :rule refl :args (@t387)) % 113.17/113.45 (step @p420 :rule nary_cong :premises (@p195 @p193 @p165 @p400 @p419) :args (@t388)) % 113.17/113.45 (step @p421 :rule aci_norm :args ((= @t389 @t388))) % 113.17/113.45 (step @p422 :rule trans :premises (@p421 @p420)) % 113.17/113.45 (step @p423 :rule cong :premises (@p422) :args (@t390)) % 113.17/113.45 (step @p424 :rule trans :premises (@p423 @p418)) % 113.17/113.45 (step @p425 :rule cong :premises (@p424) :args (@t391)) % 113.17/113.45 (step @p426 :rule quant-merge-prenex :args ((= @t391 @t392))) % 113.17/113.45 (step @p427 :rule symm :premises (@p426)) % 113.17/113.45 (step @p428 :rule quant_var_reordering :args ((= (forall @t125 @t389) @t392))) % 113.17/113.45 (step @p429 :rule trans :premises (@p428 @p427 @p425)) % 113.17/113.45 (step @p430 :rule trans :premises (@p429 @p417)) % 113.17/113.45 (step @p431 :rule aci_norm :args ((= (or @t311 (or @t300 (or @t253 @t387))) @t389))) % 113.17/113.45 (step @p432 :rule bool-and-de-morgan :args (@t101 @t100 true)) % 113.17/113.45 (step @p433 :rule nary_cong :premises (@p165 @p432) :args ((or @t300 (not (and @t101 @t100))))) % 113.17/113.45 (step @p434 :rule bool-and-de-morgan :args (@t96 @t101 (and @t100))) % 113.17/113.45 (step @p435 :rule trans :premises (@p434 @p433)) % 113.17/113.45 (step @p436 :rule nary_cong :premises (@p193 @p435) :args ((or @t311 (not (and @t96 @t101 @t100))))) % 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(step @p541 :rule nary_cong :premises (@p453 @p540) :args ((or @t256 (not (and @t74 @t412))))) % 113.17/113.45 (step @p542 :rule bool-and-de-morgan :args (@t95 @t74 (and @t412))) % 113.17/113.45 (step @p543 :rule trans :premises (@p542 @p541)) % 113.17/113.45 (step @p544 :rule nary_cong :premises (@p165 @p543) :args ((or @t300 (not (and @t95 @t74 @t412))))) % 113.17/113.45 (step @p545 :rule bool-and-de-morgan :args (@t96 @t95 (and @t74 @t412))) % 113.17/113.45 (step @p546 :rule trans :premises (@p545 @p544)) % 113.17/113.45 (step @p547 :rule nary_cong :premises (@p193 @p546) :args ((or @t311 (not (and @t96 @t95 @t74 @t412))))) % 113.17/113.45 (step @p548 :rule bool-and-de-morgan :args (@t70 @t96 (and @t95 @t74 @t412))) % 113.17/113.45 (step @p549 :rule trans :premises (@p548 @p547)) % 113.17/113.45 (step @p550 :rule trans :premises (@p549 @p539)) % 113.17/113.45 (step @p551 :rule cong :premises (@p550) :args (@t432)) % 113.17/113.45 (step @p552 :rule trans :premises (@p551 @p538)) % 113.17/113.45 (step @p553 :rule cong :premises (@p552) :args (@t433)) % 113.17/113.45 (step @p554 :rule exists-elim :args ((= (exists @t131 @t431) @t433))) % 113.17/113.45 (step @p555 :rule trans :premises (@p554 @p553)) % 113.17/113.45 (step @p556 :rule eq-symm :args (@t64 @t26)) % 113.17/113.45 (step @p557 :rule refl :args (@t74)) % 113.17/113.45 (step @p558 :rule refl :args (@t95)) % 113.17/113.45 (step @p559 :rule refl :args (@t96)) % 113.17/113.45 (step @p560 :rule refl :args (@t70)) % 113.17/113.45 (step @p561 :rule nary_cong :premises (@p560 @p559 @p558 @p557 @p556) :args (@t130)) % 113.17/113.45 (step @p562 :rule cong :premises (@p561) :args (@t132)) % 113.17/113.45 (step @p563 :rule trans :premises (@p562 @p555)) % 113.17/113.45 (step @p564 :rule nary_cong :premises (@p563 @p491 @p444 @p391 @p316 @p229) :args (@t133)) % 113.17/113.45 (step @p565 :rule eq-symm :args (@t92 @t64)) % 113.17/113.45 (step @p566 :rule cong :premises (@p565 @p564) :args (@t134)) % 113.17/113.45 (step @p567 :rule cong :premises (@p566) :args (@t136)) % 113.17/113.45 (step @p568 :rule trans :premises (@p567 @p149)) % 113.17/113.45 (step @p569 :rule eq_resolve :premises (@p35 @p568)) % 113.17/113.45 (step @p570 :rule refl :args (@t435)) % 113.17/113.45 (step @p571 :rule refl :args (@t436)) % 113.17/113.45 (step @p572 :rule eq-symm :args (@t225 @t73)) % 113.17/113.45 (step @p573 :rule eq-symm :args (@t224 @t102)) % 113.17/113.45 (step @p574 :rule cong :premises (@p573) :args (@t437)) % 113.17/113.45 (step @p575 :rule nary_cong :premises (@p574 @p572 @p571 @p570) :args (@t439)) % 113.17/113.45 (step @p576 :rule cong :premises (@p575) :args (@t440)) % 113.17/113.45 (step @p577 :rule cong :premises (@p576) :args (@t441)) % 113.17/113.45 (step @p578 :rule refl :args (@t444)) % 113.17/113.45 (step @p579 :rule refl :args (@t445)) % 113.17/113.45 (step @p580 :rule nary_cong :premises (@p574 @p572 @p579 @p578) :args (@t446)) % 113.17/113.45 (step @p581 :rule cong :premises (@p580) :args (@t447)) % 113.17/113.45 (step @p582 :rule cong :premises (@p581) :args (@t448)) % 113.17/113.45 (step @p583 :rule refl :args (@t451)) % 113.17/113.45 (step @p584 :rule refl :args (@t452)) % 113.17/113.45 (step @p585 :rule eq-symm :args (@t224 @t36)) % 113.17/113.45 (step @p586 :rule cong :premises (@p585) :args (@t453)) % 113.17/113.45 (step @p587 :rule nary_cong :premises (@p586 @p584) :args (@t454)) % 113.17/113.45 (step @p588 :rule cong :premises (@p587) :args (@t455)) % 113.17/113.45 (step @p589 :rule cong :premises (@p588) :args (@t456)) % 113.17/113.45 (step @p590 :rule refl :args (@t457)) % 113.17/113.45 (step @p591 :rule eq-symm :args (@t224 @t94)) % 113.17/113.45 (step @p592 :rule cong :premises (@p591) :args (@t458)) % 113.17/113.45 (step @p593 :rule nary_cong :premises (@p592 @p572 @p590) :args (@t459)) % 113.17/113.45 (step @p594 :rule cong :premises (@p593) :args (@t460)) % 113.17/113.45 (step @p595 :rule cong :premises (@p594) :args (@t461)) % 113.17/113.45 (step @p596 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113.17/113.45 (step @p952 :rule cong :premises (@p917 @p951) :args ((=> @t23 @t612))) % 113.17/113.45 (assume-push @p1202 @t23) % 113.17/113.45 (step @p954 :rule instantiate :premises (@p4) :args ((@list @t225 @t223 @t222 tptp.veabs))) % 113.17/113.45 (step-pop @p1203 :rule scope :premises (@p954)) % 113.17/113.45 (step @p955 :rule process_scope :premises (@p1203) :args (@t612)) % 113.17/113.45 (step @p957 :rule eq_resolve :premises (@p955 @p952)) % 113.17/113.45 (step @p958 :rule implies_elim :premises (@p957)) % 113.17/113.45 (step @p959 :rule chain_m_resolution :premises (@p958 @p4) :args ((not @t477) @t480 @t606)) % 113.17/113.45 (step @p960 :rule cnf_and_pos :args (@t478 0)) % 113.17/113.45 (step @p961 :rule reordering :premises (@p960) :args ((or @t477 @t613))) % 113.17/113.45 (step @p962 :rule chain_m_resolution :premises (@p961 @p959) :args (@t613 @t234 (@list @t477))) % 113.17/113.45 (step @p963 :rule aci_norm :args ((= (and @t620 true) @t620))) % 113.17/113.45 (step @p964 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113.17/113.45 (step @p1082 :rule bool-double-not-elim :args (@t450)) % 113.17/113.45 (step @p1083 :rule nary_cong :premises (@p1082 @p1081) :args ((or (not @t451) @t685))) % 113.17/113.45 (assume-push @p1206 @t451) % 113.17/113.45 (step @p1085 :rule skolemize :premises (@p1206)) % 113.17/113.45 (step-pop @p1207 :rule scope :premises (@p1085)) % 113.17/113.45 (step @p1086 :rule process_scope :premises (@p1207) :args (@t685)) % 113.17/113.45 (step @p1088 :rule implies_elim :premises (@p1086)) % 113.17/113.45 (step @p1089 :rule eq_resolve :premises (@p1088 @p1083)) % 113.17/113.45 (step @p1090 :rule chain_m_resolution :premises (@p1089 @p1080) :args (@t450 @t480 (@list @t684))) % 113.17/113.45 (step @p1091 :rule cnf_or_pos :args (@t479)) % 113.17/113.45 (step @p1092 :rule reordering :premises (@p1091) :args ((or @t451 @t478 @t476 @t474 @t472 @t470 (not @t479)))) % 113.17/113.45 (step @p1093 :rule chain_m_resolution :premises (@p1092 @p1090 @p962 @p950 @p914 @p888 @p608) :args (@t470 (@list false true false false false false) (@list @t450 @t478 @t475 @t473 @t471 @t479))) % 113.17/113.45 (step @p1094 :rule refl :args (@t696)) % 113.17/113.45 (step @p1095 :rule bool-double-not-elim :args (@t469)) % 113.17/113.45 (step @p1096 :rule nary_cong :premises (@p1095 @p1094) :args ((or (not @t470) @t696))) % 113.17/113.45 (step @p1097 :rule refl :args (@t689)) % 113.17/113.45 (step @p1098 :rule refl :args (@t690)) % 113.17/113.45 (step @p1099 :rule eq-symm :args (@t688 @t225)) % 113.17/113.45 (step @p1100 :rule eq-symm :args (@t692 @t224)) % 113.17/113.45 (step @p1101 :rule cong :premises (@p1100) :args (@t697)) % 113.17/113.45 (step @p1102 :rule nary_cong :premises (@p1101 @p1099 @p1098 @p1097) :args (@t698)) % 113.17/113.45 (step @p1103 :rule cong :premises (@p1102) :args (@t699)) % 113.17/113.45 (step @p1104 :rule refl :args (@t470)) % 113.17/113.45 (step @p1105 :rule cong :premises (@p1104 @p1103) :args ((=> @t470 @t699))) % 113.17/113.45 (assume-push @p1208 @t470) % 113.17/113.45 (step @p1107 :rule skolemize :premises (@p1208)) % 113.17/113.45 (step-pop @p1209 :rule scope :premises (@p1107)) % 113.17/113.45 (step @p1108 :rule process_scope :premises (@p1209) :args (@t699)) % 113.17/113.45 (step @p1110 :rule eq_resolve :premises (@p1108 @p1105)) % 113.17/113.45 (step @p1111 :rule implies_elim :premises (@p1110)) % 113.17/113.45 (step @p1112 :rule eq_resolve :premises (@p1111 @p1096)) % 113.17/113.45 (step @p1113 :rule chain_m_resolution :premises (@p1112 @p1093) :args (@t696 @t234 (@list @t469))) % 113.17/113.45 (step @p1114 :rule cnf_or_neg :args (@t695 1)) % 113.17/113.45 (step @p1115 :rule chain_m_resolution :premises (@p1114 @p1113) :args ((not @t691) @t234 @t700)) % 113.17/113.45 (step @p1116 :rule cnf_or_neg :args (@t695 2)) % 113.17/113.45 (step @p1117 :rule chain_m_resolution :premises (@p1116 @p1113) :args ((not @t690) @t234 @t700)) % 113.17/113.45 (step @p1118 :rule instantiate :premises (@p865) :args ((@list @t217 @t219 @t225 @t218 @t688 @t687 @t686 @t221))) % 113.17/113.45 (step @p1119 :rule bool-double-not-elim :args (@t693)) % 113.17/113.45 (step @p1120 :rule refl :args (@t695)) % 113.17/113.45 (step @p1121 :rule nary_cong :premises (@p1120 @p1119) :args ((or @t695 (not @t694)))) % 113.17/113.45 (step @p1122 :rule cnf_or_neg :args (@t695 0)) % 113.17/113.45 (step @p1123 :rule eq_resolve :premises (@p1122 @p1121)) % 113.17/113.45 (step @p1124 :rule reordering :premises (@p1123) :args ((or @t693 @t695))) % 113.17/113.45 (step @p1125 :rule chain_m_resolution :premises (@p1124 @p1113) :args (@t693 @t234 @t700)) % 113.17/113.45 (step @p1126 :rule refl :args (@t703)) % 113.17/113.45 (step @p1127 :rule refl :args (@t694)) % 113.17/113.45 (step @p1128 :rule nary_cong :premises (@p652 @p1127 @p1126) :args ((or @t502 @t694 @t703))) % 113.17/113.45 (assume-push @p1210 @t499) % 113.17/113.45 (assume-push @p1211 @t693) % 113.17/113.45 (assume-push @p1212 @t499) % 113.17/113.45 (assume-push @p1213 @t693) % 113.17/113.45 (step @p658 :rule false_intro :premises (@p649)) % 113.17/113.45 (step @p631 :rule refl :args (@t221)) % 113.17/113.45 (step @p1133 :rule symm :premises (@p1211)) % 113.17/113.45 (step @p1134 :rule refl :args (@t218)) % 113.17/113.45 (step @p1135 :rule refl :args (@t225)) % 113.17/113.45 (step @p1136 :rule cong :premises (@p1135 @p1134 @p1133) :args (@t701)) % 113.17/113.45 (step @p660 :rule refl :args (@t219)) % 113.17/113.45 (step @p1137 :rule cong :premises (@p660 @p1136 @p631) :args (@t702)) % 113.17/113.45 (step @p1138 :rule trans :premises (@p1137 @p658)) % 113.17/113.45 (step @p1139 :rule false_elim :premises (@p1138)) % 113.17/113.45 (step-pop @p1214 :rule scope :premises (@p1139)) % 113.17/113.45 (step-pop @p1215 :rule scope :premises (@p1214)) % 113.17/113.45 (step @p1140 :rule process_scope :premises (@p1215) :args (@t703)) % 113.17/113.45 (step @p1143 :rule and_intro :premises (@p649 @p1211)) % 113.17/113.45 (step @p1144 :rule modus_ponens :premises (@p1143 @p1140)) % 113.17/113.45 (step-pop @p1216 :rule scope :premises (@p1144)) % 113.17/113.45 (step-pop @p1217 :rule scope :premises (@p1216)) % 113.17/113.45 (step @p1145 :rule process_scope :premises (@p1217) :args (@t703)) % 113.17/113.45 (step @p1148 :rule implies_elim :premises (@p1145)) % 113.17/113.45 (step @p1149 :rule cnf_and_neg :args (@t704)) % 113.17/113.45 (step @p1150 :rule resolution :premises (@p1149 @p1148) :args (true @t704)) % 113.17/113.45 (step @p1151 :rule eq_resolve :premises (@p1150 @p1128)) % 113.17/113.45 (step @p1152 :rule chain_m_resolution :premises (@p1151 @p649 @p1125) :args (@t703 @t515 (@list @t227 @t693))) % 113.17/113.45 (assume-push @p1218 @t229) % 113.17/113.45 (assume-push @p1219 @t693) % 113.17/113.45 (assume-push @p1220 @t229) % 113.17/113.45 (assume-push @p1221 @t693) % 113.17/113.45 (step @p630 :rule true_intro :premises (@p625)) % 113.17/113.45 (step @p631 :rule refl :args (@t221)) % 113.17/113.45 (step @p1157 :rule symm :premises (@p1219)) % 113.17/113.45 (step @p633 :rule refl :args (@t228)) % 113.17/113.45 (step @p1158 :rule cong :premises (@p633 @p1157 @p631) :args (@t705)) % 113.17/113.45 (step @p1159 :rule trans :premises (@p1158 @p630)) % 113.17/113.45 (step @p1160 :rule true_elim :premises (@p1159)) % 113.17/113.45 (step-pop @p1222 :rule scope :premises (@p1160)) % 113.17/113.45 (step-pop @p1223 :rule scope :premises (@p1222)) % 113.17/113.45 (step @p1161 :rule process_scope :premises (@p1223) :args (@t705)) % 113.17/113.45 (step @p1164 :rule and_intro :premises (@p625 @p1219)) % 113.17/113.45 (step @p1165 :rule modus_ponens :premises (@p1164 @p1161)) % 113.17/113.45 (step-pop @p1224 :rule scope :premises (@p1165)) % 113.17/113.45 (step-pop @p1225 :rule scope :premises (@p1224)) % 113.17/113.45 (step @p1166 :rule process_scope :premises (@p1225) :args (@t705)) % 113.17/113.45 (step @p1169 :rule implies_elim :premises (@p1166)) % 113.17/113.45 (step @p1170 :rule cnf_and_neg :args (@t706)) % 113.17/113.45 (step @p1171 :rule resolution :premises (@p1170 @p1169) :args (true @t706)) % 113.17/113.45 (step @p1172 :rule chain_m_resolution :premises (@p1171 @p625 @p1125) :args (@t705 (@list false false) (@list @t229 @t693))) % 113.17/113.45 (step @p1173 :rule cnf_or_pos :args (@t708)) % 113.17/113.45 (step @p1174 :rule reordering :premises (@p1173) :args ((or @t231 @t690 @t691 @t707 @t702 (not @t708)))) % 113.17/113.45 (step @p1175 false :rule chain_m_resolution :premises (@p1174 @p1172 @p1152 @p1118 @p1117 @p1115 @p101) :args (false (@list false true false true true false) (@list @t705 @t702 @t708 @t690 @t691 @t220))) % 113.17/113.45 ) % 113.17/113.45 % SZS output end Proof % 113.17/113.45 % cvc5 exiting %------------------------------------------------------------------------------