%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : COM132+2 : 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 : n021.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:10:34 AM UTC 2026 % Result : Theorem 112.38s 112.79s % Output : Proof 112.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.11 % Problem : COM132+2 : TPTP v9.2.1. Released v6.4.0. % 0.12/0.12 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.14/0.33 % Computer : n021.cluster.edu % 0.14/0.33 % Model : x86_64 x86_64 % 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.33 % Memory : 8042.1875MB % 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.33 % CPULimit : 300 % 0.14/0.33 % WCLimit : 300 % 0.14/0.33 % DateTime : Mon Jun 1 20:31:34 EDT 2026 % 0.14/0.33 % CPUTime : % 0.29/0.49 %----Proving TF0_NAR, FOF, or CNF % 112.38/112.79 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 112.38/112.79 --- Run --no-e-matching --full-saturate-quant at 6... % 112.38/112.79 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 112.38/112.79 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 112.38/112.79 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 112.38/112.79 --- Run --trigger-sel=max --full-saturate-quant at 15... % 112.38/112.79 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 112.38/112.79 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 112.38/112.79 % SZS status Theorem % 112.38/112.79 % SZS output start Proof % 112.38/112.79 ( % 112.38/112.79 (declare-sort $$unsorted 0) % 112.38/112.79 (declare-const tptp.veabs $$unsorted) % 112.38/112.79 (declare-const tptp.valphaEquivalent (-> $$unsorted $$unsorted Bool)) % 112.38/112.79 (declare-const tptp.varrow (-> $$unsorted $$unsorted $$unsorted)) % 112.38/112.79 (declare-const tptp.vsubst (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 112.38/112.79 (declare-const tptp.vgensym (-> $$unsorted $$unsorted)) % 112.38/112.79 (declare-const tptp.vapp (-> $$unsorted $$unsorted $$unsorted)) % 112.38/112.79 (declare-const tptp.visValue (-> $$unsorted Bool)) % 112.38/112.79 (declare-const tptp.vempty $$unsorted) % 112.38/112.79 (declare-const tptp.vbind (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 112.38/112.79 (declare-const tptp.vnoType $$unsorted) % 112.38/112.79 (declare-const tptp.visFreeVar (-> $$unsorted $$unsorted Bool)) % 112.38/112.79 (declare-const tptp.vtcheck (-> $$unsorted $$unsorted $$unsorted Bool)) % 112.38/112.79 (declare-const tptp.vsomeType (-> $$unsorted $$unsorted)) % 112.38/112.79 (declare-const tptp.vvar (-> $$unsorted $$unsorted)) % 112.38/112.79 (declare-const tptp.vlookup (-> $$unsorted $$unsorted $$unsorted)) % 112.38/112.79 (declare-const tptp.vabs (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 112.38/112.79 (declare-const tptp.visSomeType (-> $$unsorted Bool)) % 112.38/112.79 (declare-const tptp.vgetSomeType (-> $$unsorted $$unsorted)) % 112.38/112.79 (define @t1 () (@var "VVar1" $$unsorted)) % 112.38/112.79 (define @t2 () (@var "VVar0" $$unsorted)) % 112.38/112.79 (define @t3 () (tptp.vvar @t2)) % 112.38/112.79 (define @t4 () (= @t3 (tptp.vvar @t1))) % 112.38/112.79 (define @t5 () (= @t2 @t1)) % 112.38/112.79 (define @t6 () (@var "VExp1" $$unsorted)) % 112.38/112.79 (define @t7 () (@var "VTyp1" $$unsorted)) % 112.38/112.79 (define @t8 () (@var "VExp0" $$unsorted)) % 112.38/112.79 (define @t9 () (@var "VTyp0" $$unsorted)) % 112.38/112.79 (define @t10 () (tptp.vabs @t2 @t9 @t8)) % 112.38/112.79 (define @t11 () (= @t10 (tptp.vabs @t1 @t7 @t6))) % 112.38/112.79 (define @t12 () (= @t8 @t6)) % 112.38/112.79 (define @t13 () (= @t9 @t7)) % 112.38/112.79 (define @t14 () (and @t5 @t13 @t12)) % 112.38/112.79 (define @t15 () (and (=> @t11 @t14) (=> @t14 @t11))) % 112.38/112.79 (define @t16 () (@list @t2 @t9 @t8 @t1 @t7 @t6)) % 112.38/112.79 (define @t17 () (forall @t16 @t15)) % 112.38/112.79 (define @t18 () (@var "VExp3" $$unsorted)) % 112.38/112.79 (define @t19 () (@var "VExp2" $$unsorted)) % 112.38/112.79 (define @t20 () (tptp.vapp @t8 @t6)) % 112.38/112.79 (define @t21 () (= @t20 (tptp.vapp @t19 @t18))) % 112.38/112.79 (define @t22 () (and (= @t8 @t19) (= @t6 @t18))) % 112.38/112.79 (define @t23 () (forall (@list @t2 @t1 @t9 @t8) (not (= @t3 (tptp.vabs @t1 @t9 @t8))))) % 112.38/112.79 (define @t24 () (@list @t2 @t8 @t6)) % 112.38/112.79 (define @t25 () (tptp.visValue @t8)) % 112.38/112.79 (define @t26 () (@var "Ve" $$unsorted)) % 112.38/112.79 (define @t27 () (@var "VS" $$unsorted)) % 112.38/112.79 (define @t28 () (@var "Vx" $$unsorted)) % 112.38/112.79 (define @t29 () (tptp.vabs @t28 @t27 @t26)) % 112.38/112.79 (define @t30 () (not @t25)) % 112.38/112.79 (define @t31 () (tptp.vvar @t28)) % 112.38/112.79 (define @t32 () (= @t8 @t31)) % 112.38/112.79 (define @t33 () (@var "Ve2" $$unsorted)) % 112.38/112.79 (define @t34 () (@var "Ve1" $$unsorted)) % 112.38/112.79 (define @t35 () (tptp.vapp @t34 @t33)) % 112.38/112.79 (define @t36 () (= @t8 @t35)) % 112.38/112.79 (define @t37 () (@var "Vv" $$unsorted)) % 112.38/112.79 (define @t38 () (= @t28 @t37)) % 112.38/112.79 (define @t39 () (tptp.visFreeVar @t2 @t8)) % 112.38/112.79 (define @t40 () (= @t2 @t37)) % 112.38/112.79 (define @t41 () (tptp.visFreeVar @t37 @t26)) % 112.38/112.79 (define @t42 () (and (not @t38) @t41)) % 112.38/112.79 (define @t43 () (@var "VT" $$unsorted)) % 112.38/112.79 (define @t44 () (tptp.visFreeVar @t37 @t33)) % 112.38/112.79 (define @t45 () (tptp.visFreeVar @t37 @t34)) % 112.38/112.79 (define @t46 () (or @t45 @t44)) % 112.38/112.79 (define @t47 () (and (=> @t46 @t39) (=> @t39 @t46))) % 112.38/112.79 (define @t48 () (and @t40 @t36)) % 112.38/112.79 (define @t49 () (@list @t2 @t8 @t34 @t37 @t33)) % 112.38/112.79 (define @t50 () (forall @t49 (=> @t48 @t47))) % 112.38/112.79 (define @t51 () (= tptp.vempty tptp.vempty)) % 112.38/112.79 (define @t52 () (@var "VCtx1" $$unsorted)) % 112.38/112.79 (define @t53 () (@var "VCtx0" $$unsorted)) % 112.38/112.79 (define @t54 () (tptp.vbind @t2 @t9 @t53)) % 112.38/112.79 (define @t55 () (= @t54 (tptp.vbind @t1 @t7 @t52))) % 112.38/112.79 (define @t56 () (and @t5 @t13 (= @t53 @t52))) % 112.38/112.79 (define @t57 () (= tptp.vnoType tptp.vnoType)) % 112.38/112.79 (define @t58 () (tptp.vsomeType @t9)) % 112.38/112.79 (define @t59 () (= @t58 (tptp.vsomeType @t7))) % 112.38/112.79 (define @t60 () (@var "VOptTyp0" $$unsorted)) % 112.38/112.79 (define @t61 () (tptp.visSomeType @t60)) % 112.38/112.79 (define @t62 () (= @t60 (tptp.vsomeType @t26))) % 112.38/112.79 (define @t63 () (@var "RESULT" $$unsorted)) % 112.38/112.79 (define @t64 () (= @t63 @t26)) % 112.38/112.79 (define @t65 () (= @t63 tptp.vnoType)) % 112.38/112.79 (define @t66 () (tptp.vlookup @t2 @t53)) % 112.38/112.79 (define @t67 () (= @t63 @t66)) % 112.38/112.79 (define @t68 () (= @t53 tptp.vempty)) % 112.38/112.79 (define @t69 () (= @t2 @t28)) % 112.38/112.79 (define @t70 () (@var "VTy" $$unsorted)) % 112.38/112.79 (define @t71 () (= @t63 (tptp.vsomeType @t70))) % 112.38/112.79 (define @t72 () (@var "Vy" $$unsorted)) % 112.38/112.79 (define @t73 () (= @t28 @t72)) % 112.38/112.79 (define @t74 () (@var "VC" $$unsorted)) % 112.38/112.79 (define @t75 () (tptp.vbind @t72 @t70 @t74)) % 112.38/112.79 (define @t76 () (= @t53 @t75)) % 112.38/112.79 (define @t77 () (and @t69 @t76)) % 112.38/112.79 (define @t78 () (tptp.vlookup @t28 @t74)) % 112.38/112.79 (define @t79 () (= @t63 @t78)) % 112.38/112.79 (define @t80 () (not @t73)) % 112.38/112.79 (define @t81 () (@list @t28)) % 112.38/112.79 (define @t82 () (@var "VTx" $$unsorted)) % 112.38/112.79 (define @t83 () (tptp.vbind @t28 @t82 @t74)) % 112.38/112.79 (define @t84 () (tptp.vtcheck (tptp.vbind @t28 @t82 @t75) @t26 @t43)) % 112.38/112.79 (define @t85 () (@list @t72 @t70 @t28 @t82 @t74 @t26 @t43)) % 112.38/112.79 (define @t86 () (not @t41)) % 112.38/112.79 (define @t87 () (tptp.vgensym @t26)) % 112.38/112.79 (define @t88 () (=> (= @t87 @t37) @t86)) % 112.38/112.79 (define @t89 () (@list @t37 @t26)) % 112.38/112.79 (define @t90 () (forall @t89 @t88)) % 112.38/112.79 (define @t91 () (tptp.vsubst @t2 @t8 @t6)) % 112.38/112.79 (define @t92 () (= @t63 @t91)) % 112.38/112.79 (define @t93 () (tptp.vvar @t72)) % 112.38/112.79 (define @t94 () (= @t6 @t93)) % 112.38/112.79 (define @t95 () (= @t8 @t26)) % 112.38/112.79 (define @t96 () (and @t69 @t95 @t94)) % 112.38/112.79 (define @t97 () (= @t63 @t93)) % 112.38/112.79 (define @t98 () (tptp.vsubst @t28 @t26 @t34)) % 112.38/112.79 (define @t99 () (= @t63 (tptp.vapp @t98 (tptp.vsubst @t28 @t26 @t33)))) % 112.38/112.79 (define @t100 () (= @t6 @t35)) % 112.38/112.79 (define @t101 () (tptp.vabs @t72 @t43 @t34)) % 112.38/112.79 (define @t102 () (= @t63 @t101)) % 112.38/112.79 (define @t103 () (= @t6 @t101)) % 112.38/112.79 (define @t104 () (and @t69 @t95 @t103)) % 112.38/112.79 (define @t105 () (@var "Vfresh" $$unsorted)) % 112.38/112.79 (define @t106 () (tptp.vabs @t105 @t43 (tptp.vsubst @t72 (tptp.vvar @t105) @t34))) % 112.38/112.79 (define @t107 () (= @t63 (tptp.vsubst @t28 @t26 @t106))) % 112.38/112.79 (define @t108 () (tptp.vapp @t26 @t34)) % 112.38/112.79 (define @t109 () (tptp.vgensym (tptp.vapp @t108 @t31))) % 112.38/112.79 (define @t110 () (= @t105 @t109)) % 112.38/112.79 (define @t111 () (tptp.visFreeVar @t72 @t26)) % 112.38/112.79 (define @t112 () (= @t63 (tptp.vabs @t72 @t43 @t98))) % 112.38/112.79 (define @t113 () (not @t111)) % 112.38/112.79 (define @t114 () (and @t69 @t95 @t103 @t80 @t113 @t112)) % 112.38/112.79 (define @t115 () (@list @t72 @t43 @t28 @t26 @t34)) % 112.38/112.79 (define @t116 () (exists @t115 @t114)) % 112.38/112.79 (define @t117 () (and @t69 @t95 @t103 @t80 @t111 @t110 @t107)) % 112.38/112.79 (define @t118 () (@list @t28 @t26 @t43 @t72 @t105 @t34)) % 112.38/112.79 (define @t119 () (exists @t118 @t117)) % 112.38/112.79 (define @t120 () (and @t69 @t95 @t103 @t73 @t102)) % 112.38/112.79 (define @t121 () (@list @t26 @t28 @t72 @t43 @t34)) % 112.38/112.79 (define @t122 () (exists @t121 @t120)) % 112.38/112.79 (define @t123 () (and @t69 @t95 @t100 @t99)) % 112.38/112.79 (define @t124 () (@list @t34 @t28 @t26 @t33)) % 112.38/112.79 (define @t125 () (exists @t124 @t123)) % 112.38/112.79 (define @t126 () (and @t69 @t95 @t94 @t80 @t97)) % 112.38/112.79 (define @t127 () (@list @t26 @t28 @t72)) % 112.38/112.79 (define @t128 () (exists @t127 @t126)) % 112.38/112.79 (define @t129 () (and @t69 @t95 @t94 @t73 @t64)) % 112.38/112.79 (define @t130 () (@list @t28 @t72 @t26)) % 112.38/112.79 (define @t131 () (exists @t130 @t129)) % 112.38/112.79 (define @t132 () (or @t131 @t128 @t125 @t122 @t119 @t116)) % 112.38/112.79 (define @t133 () (=> (= @t91 @t63) @t132)) % 112.38/112.79 (define @t134 () (@list @t2 @t8 @t6 @t63)) % 112.38/112.79 (define @t135 () (forall @t134 @t133)) % 112.38/112.79 (define @t136 () (@var "VTyp3" $$unsorted)) % 112.38/112.79 (define @t137 () (@var "VTyp2" $$unsorted)) % 112.38/112.79 (define @t138 () (= (tptp.varrow @t9 @t7) (tptp.varrow @t137 @t136))) % 112.38/112.79 (define @t139 () (and (= @t9 @t137) (= @t7 @t136))) % 112.38/112.79 (define @t140 () (= @t78 (tptp.vsomeType @t43))) % 112.38/112.79 (define @t141 () (tptp.varrow @t27 @t43)) % 112.38/112.79 (define @t142 () (tptp.vtcheck (tptp.vbind @t28 @t27 @t74) @t26 @t43)) % 112.38/112.79 (define @t143 () (tptp.vtcheck @t74 @t33 @t27)) % 112.38/112.79 (define @t144 () (tptp.vtcheck @t74 @t34 @t141)) % 112.38/112.79 (define @t145 () (@var "VT2" $$unsorted)) % 112.38/112.79 (define @t146 () (@var "VT1" $$unsorted)) % 112.38/112.79 (define @t147 () (tptp.vtcheck @t74 @t26 @t43)) % 112.38/112.79 (define @t148 () (@list @t28 @t27 @t74 @t26 @t43)) % 112.38/112.79 (define @t149 () (not (tptp.visFreeVar @t28 @t26))) % 112.38/112.79 (define @t150 () (@list @t26)) % 112.38/112.79 (define @t151 () (tptp.valphaEquivalent @t34 @t33)) % 112.38/112.79 (define @t152 () (@var "Ve3" $$unsorted)) % 112.38/112.79 (define @t153 () (tptp.valphaEquivalent @t29 (tptp.vabs @t72 @t27 (tptp.vsubst @t28 @t93 @t26)))) % 112.38/112.79 (define @t154 () (forall (@list @t27 @t28 @t72 @t26) (=> @t113 @t153))) % 112.38/112.79 (define @t155 () (tptp.vtcheck @t74 @t34 @t43)) % 112.38/112.79 (define @t156 () (tptp.valphaEquivalent @t26 @t34)) % 112.38/112.79 (define @t157 () (and @t147 @t156)) % 112.38/112.79 (define @t158 () (forall (@list @t26 @t74 @t34 @t43) (=> @t157 @t155))) % 112.38/112.79 (define @t159 () (@list @t26 @t28 @t34)) % 112.38/112.79 (define @t160 () (tptp.vabs @t72 @t27 @t34)) % 112.38/112.79 (define @t161 () (tptp.vtcheck @t74 (tptp.vsubst @t28 @t26 @t160) @t145)) % 112.38/112.79 (define @t162 () (tptp.vbind @t28 @t43 @t74)) % 112.38/112.79 (define @t163 () (tptp.vtcheck @t162 @t160 @t145)) % 112.38/112.79 (define @t164 () (and @t80 @t113 @t147 @t163)) % 112.38/112.79 (define @t165 () (forall (@list @t43 @t74 @t28 @t26 @t72 @t27 @t34 @t145) (=> @t164 @t161))) % 112.38/112.79 (define @t166 () (not (= @t28 @t105))) % 112.38/112.79 (define @t167 () (@list @t26 @t34 @t28 @t105)) % 112.38/112.79 (define @t168 () (forall @t167 (=> @t110 @t166))) % 112.38/112.79 (define @t169 () (not (tptp.visFreeVar @t105 @t34))) % 112.38/112.79 (define @t170 () (@list @t26 @t28 @t105 @t34)) % 112.38/112.79 (define @t171 () (forall @t170 (=> @t110 @t169))) % 112.38/112.79 (define @t172 () (tptp.vabs @t72 @t27 tptp.veabs)) % 112.38/112.79 (define @t173 () (tptp.vtcheck @t74 (tptp.vsubst @t28 @t26 @t172) @t145)) % 112.38/112.79 (define @t174 () (tptp.vtcheck @t162 @t172 @t145)) % 112.38/112.79 (define @t175 () (and @t80 @t111 @t147 @t174)) % 112.38/112.79 (define @t176 () (@list @t43 @t74 @t28 @t26 @t72 @t27 @t145)) % 112.38/112.79 (define @t177 () (forall @t176 (=> @t175 @t173))) % 112.38/112.79 (define @t178 () (not @t177)) % 112.38/112.79 (define @t179 () (not @t174)) % 112.38/112.79 (define @t180 () (not @t147)) % 112.38/112.79 (define @t181 () (or @t73 @t113 @t180 @t179 @t173)) % 112.38/112.79 (define @t182 () (not @t80)) % 112.38/112.79 (define @t183 () (or @t182 @t113 @t180 @t179)) % 112.38/112.79 (define @t184 () (forall @t176 @t181)) % 112.38/112.79 (define @t185 () (@quantifiers_skolemize @t184 0)) % 112.38/112.79 (define @t186 () (@quantifiers_skolemize @t184 3)) % 112.38/112.79 (define @t187 () (@quantifiers_skolemize @t184 1)) % 112.38/112.79 (define @t188 () (tptp.vtcheck @t187 @t186 @t185)) % 112.38/112.79 (define @t189 () (@quantifiers_skolemize @t184 6)) % 112.38/112.79 (define @t190 () (@quantifiers_skolemize @t184 5)) % 112.38/112.79 (define @t191 () (@quantifiers_skolemize @t184 4)) % 112.38/112.79 (define @t192 () (tptp.vabs @t191 @t190 tptp.veabs)) % 112.38/112.79 (define @t193 () (@quantifiers_skolemize @t184 2)) % 112.38/112.79 (define @t194 () (tptp.vsubst @t193 @t186 @t192)) % 112.38/112.79 (define @t195 () (tptp.vtcheck @t187 @t194 @t189)) % 112.38/112.79 (define @t196 () (tptp.vbind @t193 @t185 @t187)) % 112.38/112.79 (define @t197 () (tptp.vtcheck @t196 @t192 @t189)) % 112.38/112.79 (define @t198 () (not @t197)) % 112.38/112.79 (define @t199 () (not @t188)) % 112.38/112.79 (define @t200 () (= @t193 @t191)) % 112.38/112.79 (define @t201 () (or @t200 (not (tptp.visFreeVar @t191 @t186)) @t199 @t198 @t195)) % 112.38/112.79 (define @t202 () (@list true)) % 112.38/112.79 (define @t203 () (@list @t201)) % 112.38/112.79 (define @t204 () (tptp.vsubst @t2 @t8 @t34)) % 112.38/112.79 (define @t205 () (tptp.vabs @t72 @t43 @t204)) % 112.38/112.79 (define @t206 () (tptp.visFreeVar @t72 @t8)) % 112.38/112.79 (define @t207 () (= @t2 @t72)) % 112.38/112.79 (define @t208 () (not @t103)) % 112.38/112.79 (define @t209 () (@list @t72 @t43 @t34)) % 112.38/112.79 (define @t210 () (not (forall @t209 (or @t208 @t207 @t206 (not (= @t91 @t205)))))) % 112.38/112.79 (define @t211 () (tptp.vgensym (tptp.vapp (tptp.vapp @t8 @t34) @t3))) % 112.38/112.79 (define @t212 () (tptp.vsubst @t2 @t8 (tptp.vabs @t211 @t43 (tptp.vsubst @t72 (tptp.vvar @t211) @t34)))) % 112.38/112.79 (define @t213 () (not @t206)) % 112.38/112.79 (define @t214 () (@list @t43 @t72 @t34)) % 112.38/112.79 (define @t215 () (not (forall @t214 (or @t208 @t207 @t213 (not (= @t91 @t212)))))) % 112.38/112.79 (define @t216 () (tptp.vabs @t2 @t43 @t34)) % 112.38/112.79 (define @t217 () (not (= @t6 @t216))) % 112.38/112.79 (define @t218 () (@list @t43 @t34)) % 112.38/112.79 (define @t219 () (not (forall @t218 (or @t217 (not (= @t91 @t216)))))) % 112.38/112.79 (define @t220 () (tptp.vapp @t204 (tptp.vsubst @t2 @t8 @t33))) % 112.38/112.79 (define @t221 () (not @t100)) % 112.38/112.79 (define @t222 () (@list @t34 @t33)) % 112.38/112.79 (define @t223 () (not (forall @t222 (or @t221 (not (= @t91 @t220)))))) % 112.38/112.79 (define @t224 () (not @t94)) % 112.38/112.79 (define @t225 () (@list @t72)) % 112.38/112.79 (define @t226 () (not (forall @t225 (or @t224 @t207 (not (= @t93 @t91)))))) % 112.38/112.79 (define @t227 () (= @t3 @t6)) % 112.38/112.79 (define @t228 () (and @t227 (= @t8 @t91))) % 112.38/112.79 (define @t229 () (or @t228 @t226 @t223 @t219 @t215 @t210)) % 112.38/112.79 (define @t230 () (not (= @t91 @t93))) % 112.38/112.79 (define @t231 () (or @t224 @t207 @t230)) % 112.38/112.79 (define @t232 () (forall @t225 @t231)) % 112.38/112.79 (define @t233 () (not @t232)) % 112.38/112.79 (define @t234 () (not (= @t91 @t91))) % 112.38/112.79 (define @t235 () (or @t234 @t228 @t233 @t223 @t219 @t215 @t210)) % 112.38/112.79 (define @t236 () (not (= @t63 @t205))) % 112.38/112.79 (define @t237 () (or @t208 @t207 @t206 @t236)) % 112.38/112.79 (define @t238 () (not (forall @t209 @t237))) % 112.38/112.79 (define @t239 () (not (= @t63 @t212))) % 112.38/112.79 (define @t240 () (or @t208 @t207 @t213 @t239)) % 112.38/112.79 (define @t241 () (not (forall @t214 @t240))) % 112.38/112.79 (define @t242 () (not (= @t63 @t216))) % 112.38/112.79 (define @t243 () (or @t217 @t242)) % 112.38/112.79 (define @t244 () (forall @t218 @t243)) % 112.38/112.79 (define @t245 () (not @t244)) % 112.38/112.79 (define @t246 () (not (= @t63 @t220))) % 112.38/112.79 (define @t247 () (or @t221 @t246)) % 112.38/112.79 (define @t248 () (not (forall @t222 @t247))) % 112.38/112.79 (define @t249 () (not @t97)) % 112.38/112.79 (define @t250 () (or @t224 @t207 @t249)) % 112.38/112.79 (define @t251 () (forall @t225 @t250)) % 112.38/112.79 (define @t252 () (not @t251)) % 112.38/112.79 (define @t253 () (= @t8 @t63)) % 112.38/112.79 (define @t254 () (and @t227 @t253)) % 112.38/112.79 (define @t255 () (not @t92)) % 112.38/112.79 (define @t256 () (or @t255 @t255 @t254 @t252 @t248 @t245 @t241 @t238)) % 112.38/112.79 (define @t257 () (@list @t63)) % 112.38/112.79 (define @t258 () (or @t255 @t254 @t252 @t248 @t245 @t241 @t238)) % 112.38/112.79 (define @t259 () (forall @t257 @t258)) % 112.38/112.79 (define @t260 () (forall @t24 @t259)) % 112.38/112.79 (define @t261 () (not @t253)) % 112.38/112.79 (define @t262 () (not @t227)) % 112.38/112.79 (define @t263 () (or (not (or @t262 @t261)) @t252 @t248 @t245 @t241 @t238)) % 112.38/112.79 (define @t264 () (not (= @t8 @t8))) % 112.38/112.79 (define @t265 () (or @t264 @t208 @t207 @t206 @t236)) % 112.38/112.79 (define @t266 () (tptp.vsubst @t2 @t26 @t34)) % 112.38/112.79 (define @t267 () (not (= @t63 (tptp.vabs @t72 @t43 @t266)))) % 112.38/112.79 (define @t268 () (not @t95)) % 112.38/112.79 (define @t269 () (not (= @t26 @t8))) % 112.38/112.79 (define @t270 () (or @t268 @t268 @t208 @t207 @t111 @t267)) % 112.38/112.79 (define @t271 () (or @t268 @t208 @t207 @t111 @t267)) % 112.38/112.79 (define @t272 () (forall @t150 @t271)) % 112.38/112.79 (define @t273 () (forall @t209 @t272)) % 112.38/112.79 (define @t274 () (forall (@list @t72 @t43 @t34 @t26) @t271)) % 112.38/112.79 (define @t275 () (@list @t72 @t43 @t26 @t34)) % 112.38/112.79 (define @t276 () (not (= @t2 @t2))) % 112.38/112.79 (define @t277 () (or @t276 @t268 @t208 @t207 @t111 @t267)) % 112.38/112.79 (define @t278 () (not @t112)) % 112.38/112.79 (define @t279 () (not @t69)) % 112.38/112.79 (define @t280 () (not (= @t28 @t2))) % 112.38/112.79 (define @t281 () (or @t279 @t279 @t268 @t208 @t73 @t111 @t278)) % 112.38/112.79 (define @t282 () (or @t279 @t268 @t208 @t73 @t111 @t278)) % 112.38/112.79 (define @t283 () (forall @t81 @t282)) % 112.38/112.79 (define @t284 () (forall @t275 @t283)) % 112.38/112.79 (define @t285 () (forall (@list @t72 @t43 @t26 @t34 @t28) @t282)) % 112.38/112.79 (define @t286 () (not @t113)) % 112.38/112.79 (define @t287 () (or @t279 @t268 @t208 @t182 @t286 @t278)) % 112.38/112.79 (define @t288 () (forall @t115 (not @t114))) % 112.38/112.79 (define @t289 () (not @t288)) % 112.38/112.79 (define @t290 () (not (= @t211 @t211))) % 112.38/112.79 (define @t291 () (or @t208 @t207 @t213 @t290 @t239)) % 112.38/112.79 (define @t292 () (not (= @t63 (tptp.vsubst @t2 @t8 @t106)))) % 112.38/112.79 (define @t293 () (not (= @t105 @t211))) % 112.38/112.79 (define @t294 () (or @t293 @t208 @t207 @t213 @t293 @t292)) % 112.38/112.79 (define @t295 () (@list @t105)) % 112.38/112.79 (define @t296 () (or @t208 @t207 @t213 @t293 @t292)) % 112.38/112.79 (define @t297 () (forall @t295 @t296)) % 112.38/112.79 (define @t298 () (forall @t214 @t297)) % 112.38/112.79 (define @t299 () (forall (@list @t43 @t72 @t34 @t105) @t296)) % 112.38/112.79 (define @t300 () (@list @t43 @t72 @t105 @t34)) % 112.38/112.79 (define @t301 () (or @t264 @t208 @t207 @t213 @t293 @t292)) % 112.38/112.79 (define @t302 () (not (= @t63 (tptp.vsubst @t2 @t26 @t106)))) % 112.38/112.79 (define @t303 () (not (= @t105 (tptp.vgensym (tptp.vapp @t108 @t3))))) % 112.38/112.79 (define @t304 () (or @t268 @t268 @t208 @t207 @t113 @t303 @t302)) % 112.38/112.79 (define @t305 () (or @t268 @t208 @t207 @t113 @t303 @t302)) % 112.38/112.79 (define @t306 () (forall @t150 @t305)) % 112.38/112.79 (define @t307 () (forall @t300 @t306)) % 112.38/112.79 (define @t308 () (forall (@list @t43 @t72 @t105 @t34 @t26) @t305)) % 112.38/112.79 (define @t309 () (@list @t26 @t43 @t72 @t105 @t34)) % 112.38/112.79 (define @t310 () (or @t276 @t268 @t208 @t207 @t113 @t303 @t302)) % 112.38/112.79 (define @t311 () (not @t107)) % 112.38/112.79 (define @t312 () (not @t110)) % 112.38/112.79 (define @t313 () (or @t279 @t279 @t268 @t208 @t73 @t113 @t312 @t311)) % 112.38/112.79 (define @t314 () (or @t279 @t268 @t208 @t73 @t113 @t312 @t311)) % 112.38/112.79 (define @t315 () (forall @t81 @t314)) % 112.38/112.79 (define @t316 () (forall @t309 @t315)) % 112.38/112.79 (define @t317 () (forall (@list @t26 @t43 @t72 @t105 @t34 @t28) @t314)) % 112.38/112.79 (define @t318 () (or @t279 @t268 @t208 @t182 @t113 @t312 @t311)) % 112.38/112.79 (define @t319 () (forall @t118 (not @t117))) % 112.38/112.79 (define @t320 () (not @t319)) % 112.38/112.79 (define @t321 () (or @t268 @t268)) % 112.38/112.79 (define @t322 () (forall @t150 @t268)) % 112.38/112.79 (define @t323 () (or @t217 @t276 @t242)) % 112.38/112.79 (define @t324 () (not @t102)) % 112.38/112.79 (define @t325 () (not @t207)) % 112.38/112.80 (define @t326 () (not (= @t72 @t2))) % 112.38/112.80 (define @t327 () (or @t325 @t208 @t325 @t324)) % 112.38/112.80 (define @t328 () (or @t208 @t325 @t324)) % 112.38/112.80 (define @t329 () (forall @t225 @t328)) % 112.38/112.80 (define @t330 () (forall @t218 @t329)) % 112.38/112.80 (define @t331 () (forall (@list @t43 @t34 @t72) @t328)) % 112.38/112.80 (define @t332 () (or @t276 @t208 @t325 @t324)) % 112.38/112.80 (define @t333 () (or @t279 @t279 @t208 @t80 @t324)) % 112.38/112.80 (define @t334 () (or @t279 @t208 @t80 @t324)) % 112.38/112.80 (define @t335 () (forall @t81 @t334)) % 112.38/112.80 (define @t336 () (forall @t209 @t335)) % 112.38/112.80 (define @t337 () (forall (@list @t72 @t43 @t34 @t28) @t334)) % 112.38/112.80 (define @t338 () (forall (@list @t28 @t72 @t43 @t34) @t334)) % 112.38/112.80 (define @t339 () (or @t338 @t322)) % 112.38/112.80 (define @t340 () (or @t334 @t268)) % 112.38/112.80 (define @t341 () (@list @t28 @t72 @t43 @t34 @t26)) % 112.38/112.80 (define @t342 () (or @t279 @t268 @t208 @t80 @t324)) % 112.38/112.80 (define @t343 () (forall @t341 @t342)) % 112.38/112.80 (define @t344 () (forall @t121 (not @t120))) % 112.38/112.80 (define @t345 () (not @t344)) % 112.38/112.80 (define @t346 () (or @t264 @t221 @t246)) % 112.38/112.80 (define @t347 () (not (= @t63 (tptp.vapp @t266 (tptp.vsubst @t2 @t26 @t33))))) % 112.38/112.80 (define @t348 () (or @t268 @t268 @t221 @t347)) % 112.38/112.80 (define @t349 () (or @t268 @t221 @t347)) % 112.38/112.80 (define @t350 () (forall @t150 @t349)) % 112.38/112.80 (define @t351 () (forall @t222 @t350)) % 112.38/112.80 (define @t352 () (forall (@list @t34 @t33 @t26) @t349)) % 112.38/112.80 (define @t353 () (@list @t34 @t26 @t33)) % 112.38/112.80 (define @t354 () (or @t276 @t268 @t221 @t347)) % 112.38/112.80 (define @t355 () (not @t99)) % 112.38/112.80 (define @t356 () (or @t279 @t279 @t268 @t221 @t355)) % 112.38/112.80 (define @t357 () (or @t279 @t268 @t221 @t355)) % 112.38/112.80 (define @t358 () (forall @t81 @t357)) % 112.38/112.80 (define @t359 () (forall @t353 @t358)) % 112.38/112.80 (define @t360 () (forall (@list @t34 @t26 @t33 @t28) @t357)) % 112.38/112.80 (define @t361 () (forall @t124 (not @t123))) % 112.38/112.80 (define @t362 () (not @t361)) % 112.38/112.80 (define @t363 () (or @t276 @t224 @t207 @t249)) % 112.38/112.80 (define @t364 () (or @t279 @t279 @t224 @t73 @t249)) % 112.38/112.80 (define @t365 () (or @t279 @t224 @t73 @t249)) % 112.38/112.80 (define @t366 () (forall @t81 @t365)) % 112.38/112.80 (define @t367 () (forall @t225 @t366)) % 112.38/112.80 (define @t368 () (@list @t72 @t28)) % 112.38/112.80 (define @t369 () (forall @t368 @t365)) % 112.38/112.80 (define @t370 () (@list @t28 @t72)) % 112.38/112.80 (define @t371 () (forall @t370 @t365)) % 112.38/112.80 (define @t372 () (or @t371 @t322)) % 112.38/112.80 (define @t373 () (or @t365 @t268)) % 112.38/112.80 (define @t374 () (or @t279 @t268 @t224 @t73 @t249)) % 112.38/112.80 (define @t375 () (forall @t130 @t374)) % 112.38/112.80 (define @t376 () (or @t279 @t268 @t224 @t182 @t249)) % 112.38/112.80 (define @t377 () (forall @t127 (not @t126))) % 112.38/112.80 (define @t378 () (not @t377)) % 112.38/112.80 (define @t379 () (or @t264 @t261)) % 112.38/112.80 (define @t380 () (= @t26 @t63)) % 112.38/112.80 (define @t381 () (not @t380)) % 112.38/112.80 (define @t382 () (or @t268 @t268 @t381)) % 112.38/112.80 (define @t383 () (or @t268 @t381)) % 112.38/112.80 (define @t384 () (forall @t150 @t383)) % 112.38/112.80 (define @t385 () (not (= @t6 @t3))) % 112.38/112.80 (define @t386 () (or @t385 @t276)) % 112.38/112.80 (define @t387 () (or @t325 @t224 @t325)) % 112.38/112.80 (define @t388 () (or @t224 @t325)) % 112.38/112.80 (define @t389 () (or @t276 @t224 @t325)) % 112.38/112.80 (define @t390 () (or @t279 @t279 @t224 @t80)) % 112.38/112.80 (define @t391 () (or @t279 @t224 @t80)) % 112.38/112.80 (define @t392 () (forall @t81 @t391)) % 112.38/112.80 (define @t393 () (forall @t225 @t392)) % 112.38/112.80 (define @t394 () (forall @t368 @t391)) % 112.38/112.80 (define @t395 () (forall @t370 @t391)) % 112.38/112.80 (define @t396 () (or @t395 @t384)) % 112.38/112.80 (define @t397 () (or @t391 @t383)) % 112.38/112.80 (define @t398 () (or @t279 @t268 @t224 @t80 @t381)) % 112.38/112.80 (define @t399 () (and @t69 @t95 @t94 @t73 @t380)) % 112.38/112.80 (define @t400 () (forall @t130 (not @t399))) % 112.38/112.80 (define @t401 () (not @t400)) % 112.38/112.80 (define @t402 () (tptp.vsubst @t193 @t186 @t34)) % 112.38/112.80 (define @t403 () (not (= @t194 (tptp.vabs @t72 @t43 @t402)))) % 112.38/112.80 (define @t404 () (tptp.visFreeVar @t72 @t186)) % 112.38/112.80 (define @t405 () (not (= @t192 @t101))) % 112.38/112.80 (define @t406 () (= @t193 @t72)) % 112.38/112.80 (define @t407 () (or @t405 @t406 @t404 @t403)) % 112.38/112.80 (define @t408 () (forall @t209 @t407)) % 112.38/112.80 (define @t409 () (not @t408)) % 112.38/112.80 (define @t410 () (tptp.vvar @t193)) % 112.38/112.80 (define @t411 () (tptp.vgensym (tptp.vapp (tptp.vapp @t186 @t34) @t410))) % 112.38/112.80 (define @t412 () (not (= @t194 (tptp.vsubst @t193 @t186 (tptp.vabs @t411 @t43 (tptp.vsubst @t72 (tptp.vvar @t411) @t34)))))) % 112.38/112.80 (define @t413 () (not @t404)) % 112.38/112.80 (define @t414 () (or @t405 @t406 @t413 @t412)) % 112.38/112.80 (define @t415 () (forall @t214 @t414)) % 112.38/112.80 (define @t416 () (not @t415)) % 112.38/112.80 (define @t417 () (tptp.vabs @t193 @t43 @t34)) % 112.38/112.80 (define @t418 () (forall @t218 (or (not (= @t192 @t417)) (not (= @t194 @t417))))) % 112.38/112.80 (define @t419 () (not @t418)) % 112.38/112.80 (define @t420 () (not (= @t194 (tptp.vapp @t402 (tptp.vsubst @t193 @t186 @t33))))) % 112.38/112.80 (define @t421 () (not (= @t192 @t35))) % 112.38/112.80 (define @t422 () (or @t421 @t420)) % 112.38/112.80 (define @t423 () (forall @t222 @t422)) % 112.38/112.80 (define @t424 () (not @t423)) % 112.38/112.80 (define @t425 () (not (= @t93 @t194))) % 112.38/112.80 (define @t426 () (not (= @t192 @t93))) % 112.38/112.80 (define @t427 () (or @t426 @t406 @t425)) % 112.38/112.80 (define @t428 () (forall @t225 @t427)) % 112.38/112.80 (define @t429 () (not @t428)) % 112.38/112.80 (define @t430 () (= @t186 @t194)) % 112.38/112.80 (define @t431 () (= @t410 @t192)) % 112.38/112.80 (define @t432 () (and @t431 @t430)) % 112.38/112.80 (define @t433 () (or @t432 @t429 @t424 @t419 @t416 @t409)) % 112.38/112.80 (define @t434 () (forall @t24 @t229)) % 112.38/112.80 (define @t435 () (= @t72 @t193)) % 112.38/112.80 (define @t436 () (not (= @t101 @t192))) % 112.38/112.80 (define @t437 () (forall @t209 (or @t436 @t435 @t404 @t403))) % 112.38/112.80 (define @t438 () (not @t437)) % 112.38/112.80 (define @t439 () (forall @t214 (or @t436 @t435 @t413 @t412))) % 112.38/112.80 (define @t440 () (not @t439)) % 112.38/112.80 (define @t441 () (forall @t222 (or (not (= @t35 @t192)) @t420))) % 112.38/112.80 (define @t442 () (not @t441)) % 112.38/112.80 (define @t443 () (forall @t225 (or (not (= @t93 @t192)) @t435 @t425))) % 112.38/112.80 (define @t444 () (not @t443)) % 112.38/112.80 (define @t445 () (= @t192 @t410)) % 112.38/112.80 (define @t446 () (and @t445 @t430)) % 112.38/112.80 (define @t447 () (or @t446 @t444 @t442 @t419 @t440 @t438)) % 112.38/112.80 (define @t448 () (@list false)) % 112.38/112.80 (define @t449 () (@quantifiers_skolemize @t439 2)) % 112.38/112.80 (define @t450 () (@quantifiers_skolemize @t439 0)) % 112.38/112.80 (define @t451 () (@quantifiers_skolemize @t439 1)) % 112.38/112.80 (define @t452 () (tptp.vabs @t451 @t450 @t449)) % 112.38/112.80 (define @t453 () (= @t192 @t452)) % 112.38/112.80 (define @t454 () (tptp.vapp @t186 @t449)) % 112.38/112.80 (define @t455 () (tptp.vapp @t454 @t410)) % 112.38/112.80 (define @t456 () (tptp.vgensym @t455)) % 112.38/112.80 (define @t457 () (tptp.vsubst @t451 (tptp.vvar @t456) @t449)) % 112.38/112.80 (define @t458 () (tptp.vabs @t456 @t450 @t457)) % 112.38/112.80 (define @t459 () (tptp.vsubst @t193 @t186 @t458)) % 112.38/112.80 (define @t460 () (= @t194 @t459)) % 112.38/112.80 (define @t461 () (not @t460)) % 112.38/112.80 (define @t462 () (not (tptp.visFreeVar @t451 @t186))) % 112.38/112.80 (define @t463 () (not @t453)) % 112.38/112.80 (define @t464 () (or @t463 (= @t193 @t451) @t462 @t461)) % 112.38/112.80 (define @t465 () (tptp.vtcheck @t196 @t452 @t189)) % 112.38/112.80 (define @t466 () (and @t197 @t453)) % 112.38/112.80 (define @t467 () (not @t195)) % 112.38/112.80 (define @t468 () (tptp.vtcheck @t187 @t459 @t189)) % 112.38/112.80 (define @t469 () (not @t468)) % 112.38/112.80 (define @t470 () (not @t467)) % 112.38/112.80 (define @t471 () (and @t467 @t460)) % 112.38/112.80 (define @t472 () (not (tptp.visFreeVar @t109 @t34))) % 112.38/112.80 (define @t473 () (not (= @t109 @t109))) % 112.38/112.80 (define @t474 () (or @t473 @t472)) % 112.38/112.80 (define @t475 () (or @t312 @t312 @t169)) % 112.38/112.80 (define @t476 () (or @t312 @t169)) % 112.38/112.80 (define @t477 () (forall @t295 @t476)) % 112.38/112.80 (define @t478 () (forall @t159 @t477)) % 112.38/112.80 (define @t479 () (forall (@list @t26 @t28 @t34 @t105) @t476)) % 112.38/112.80 (define @t480 () (tptp.valphaEquivalent @t452 @t458)) % 112.38/112.80 (define @t481 () (tptp.visFreeVar @t456 @t449)) % 112.38/112.80 (define @t482 () (or @t481 @t480)) % 112.38/112.80 (define @t483 () (@list true false)) % 112.38/112.80 (define @t484 () (not @t156)) % 112.38/112.80 (define @t485 () (tptp.vtcheck @t196 @t458 @t189)) % 112.38/112.80 (define @t486 () (not @t480)) % 112.38/112.80 (define @t487 () (not @t465)) % 112.38/112.80 (define @t488 () (or @t487 @t486 @t485)) % 112.38/112.80 (define @t489 () (not (= @t28 @t109))) % 112.38/112.80 (define @t490 () (or @t473 @t489)) % 112.38/112.80 (define @t491 () (@list @t26 @t34 @t28)) % 112.38/112.80 (define @t492 () (or @t312 @t312 @t166)) % 112.38/112.80 (define @t493 () (or @t312 @t166)) % 112.38/112.80 (define @t494 () (forall @t295 @t493)) % 112.38/112.80 (define @t495 () (forall @t491 @t494)) % 112.38/112.80 (define @t496 () (tptp.visFreeVar @t37 @t35)) % 112.38/112.80 (define @t497 () (or (not @t496) @t45 @t44)) % 112.38/112.80 (define @t498 () (@list @t34 @t37 @t33)) % 112.38/112.80 (define @t499 () (forall @t498 @t497)) % 112.38/112.80 (define @t500 () (@list @t34 @t37 @t33)) % 112.38/112.80 (define @t501 () (and (not @t45) (not @t44))) % 112.38/112.80 (define @t502 () (or @t501 @t496)) % 112.38/112.80 (define @t503 () (forall @t498 @t502)) % 112.38/112.80 (define @t504 () (and @t503 @t499)) % 112.38/112.80 (define @t505 () (and @t502 @t497)) % 112.38/112.80 (define @t506 () (not (= @t35 @t35))) % 112.38/112.80 (define @t507 () (or @t506 @t505)) % 112.38/112.80 (define @t508 () (tptp.visFreeVar @t37 @t8)) % 112.38/112.80 (define @t509 () (and (or @t501 @t508) (or (not @t508) @t45 @t44))) % 112.38/112.80 (define @t510 () (not @t36)) % 112.38/112.80 (define @t511 () (or @t510 @t510 @t509)) % 112.38/112.80 (define @t512 () (@list @t8)) % 112.38/112.80 (define @t513 () (or @t510 @t509)) % 112.38/112.80 (define @t514 () (forall @t512 @t513)) % 112.38/112.80 (define @t515 () (forall @t498 @t514)) % 112.38/112.80 (define @t516 () (forall (@list @t34 @t37 @t33 @t8) @t513)) % 112.38/112.80 (define @t517 () (@list @t8 @t34 @t37 @t33)) % 112.38/112.80 (define @t518 () (not (= @t37 @t37))) % 112.38/112.80 (define @t519 () (or @t518 @t510 @t509)) % 112.38/112.80 (define @t520 () (not @t39)) % 112.38/112.80 (define @t521 () (or @t520 @t45 @t44)) % 112.38/112.80 (define @t522 () (and (or @t501 @t39) @t521)) % 112.38/112.80 (define @t523 () (not @t40)) % 112.38/112.80 (define @t524 () (or @t523 @t523 @t510 @t522)) % 112.38/112.80 (define @t525 () (@list @t2)) % 112.38/112.80 (define @t526 () (or @t523 @t510 @t522)) % 112.38/112.80 (define @t527 () (forall @t525 @t526)) % 112.38/112.80 (define @t528 () (forall @t517 @t527)) % 112.38/112.80 (define @t529 () (forall (@list @t8 @t34 @t37 @t33 @t2) @t526)) % 112.38/112.80 (define @t530 () (not (tptp.visFreeVar @t87 @t26))) % 112.38/112.80 (define @t531 () (not (= @t87 @t87))) % 112.38/112.80 (define @t532 () (or @t531 @t530)) % 112.38/112.80 (define @t533 () (= @t37 @t87)) % 112.38/112.80 (define @t534 () (not @t533)) % 112.38/112.80 (define @t535 () (or @t534 @t534 @t86)) % 112.38/112.80 (define @t536 () (@list @t37)) % 112.38/112.80 (define @t537 () (or @t534 @t86)) % 112.38/112.80 (define @t538 () (forall @t536 @t537)) % 112.38/112.80 (define @t539 () (forall @t150 @t538)) % 112.38/112.80 (define @t540 () (forall (@list @t26 @t37) @t537)) % 112.38/112.80 (define @t541 () (tptp.visFreeVar @t456 @t455)) % 112.38/112.80 (define @t542 () (tptp.visFreeVar @t456 @t454)) % 112.38/112.80 (define @t543 () (not @t542)) % 112.38/112.80 (define @t544 () (and @t543 (not (tptp.visFreeVar @t456 @t410)))) % 112.38/112.80 (define @t545 () (or @t544 @t541)) % 112.38/112.80 (define @t546 () (tptp.visFreeVar @t456 @t186)) % 112.38/112.80 (define @t547 () (not @t546)) % 112.38/112.80 (define @t548 () (and @t547 (not @t481))) % 112.38/112.80 (define @t549 () (or @t548 @t542)) % 112.38/112.80 (define @t550 () (not @t163)) % 112.38/112.80 (define @t551 () (or @t182 @t286 @t180 @t550)) % 112.38/112.80 (define @t552 () (not @t485)) % 112.38/112.80 (define @t553 () (= @t193 @t456)) % 112.38/112.80 (define @t554 () (or @t553 @t546 @t199 @t552 @t468)) % 112.38/112.80 (define @t555 () (not @t464)) % 112.38/112.80 (define @t556 () (not (= @t452 @t192))) % 112.38/112.80 (define @t557 () (or @t556 (= @t451 @t193) @t462 @t461)) % 112.38/112.80 (define @t558 () (not @t557)) % 112.38/112.80 (define @t559 () (@quantifiers_skolemize @t441 1)) % 112.38/112.80 (define @t560 () (@quantifiers_skolemize @t441 0)) % 112.38/112.80 (define @t561 () (tptp.vapp @t560 @t559)) % 112.38/112.80 (define @t562 () (= @t192 @t561)) % 112.38/112.80 (define @t563 () (not (= @t194 (tptp.vapp (tptp.vsubst @t193 @t186 @t560) (tptp.vsubst @t193 @t186 @t559))))) % 112.38/112.80 (define @t564 () (not @t562)) % 112.38/112.80 (define @t565 () (or @t564 @t563)) % 112.38/112.80 (define @t566 () (not @t565)) % 112.38/112.80 (define @t567 () (not (= @t561 @t192))) % 112.38/112.80 (define @t568 () (or @t567 @t563)) % 112.38/112.80 (define @t569 () (not @t568)) % 112.38/112.80 (define @t570 () (@quantifiers_skolemize @t443 0)) % 112.38/112.80 (define @t571 () (tptp.vvar @t570)) % 112.38/112.80 (define @t572 () (not (= @t571 @t192))) % 112.38/112.80 (define @t573 () (= @t192 @t571)) % 112.38/112.80 (define @t574 () (not @t573)) % 112.38/112.80 (define @t575 () (@list @t23)) % 112.38/112.80 (define @t576 () (or @t574 (= @t193 @t570) (not (= @t194 @t571)))) % 112.38/112.80 (define @t577 () (not @t576)) % 112.38/112.80 (define @t578 () (not (= @t571 @t194))) % 112.38/112.80 (define @t579 () (or @t572 (= @t570 @t193) @t578)) % 112.38/112.80 (define @t580 () (not @t579)) % 112.38/112.80 (define @t581 () (not @t431)) % 112.38/112.80 (define @t582 () (not @t446)) % 112.38/112.80 (define @t583 () (@var "BOUND_VARIABLE_7937" $$unsorted)) % 112.38/112.80 (define @t584 () (@var "BOUND_VARIABLE_7931" $$unsorted)) % 112.38/112.80 (define @t585 () (@var "BOUND_VARIABLE_7935" $$unsorted)) % 112.38/112.80 (define @t586 () (@var "BOUND_VARIABLE_7929" $$unsorted)) % 112.38/112.80 (define @t587 () (@var "BOUND_VARIABLE_7933" $$unsorted)) % 112.38/112.80 (define @t588 () (@var "BOUND_VARIABLE_7927" $$unsorted)) % 112.38/112.80 (define @t589 () (forall (@list @t588 @t586 @t584 @t587 @t585 @t583) (or (not (= (tptp.vabs @t588 @t586 @t584) (tptp.vabs @t587 @t585 @t583))) (and (= @t588 @t587) (= @t586 @t585) (= @t584 @t583))))) % 112.38/112.80 (define @t590 () (@var "BOUND_VARIABLE_7960" $$unsorted)) % 112.38/112.80 (define @t591 () (@var "BOUND_VARIABLE_7958" $$unsorted)) % 112.38/112.80 (define @t592 () (@var "BOUND_VARIABLE_7956" $$unsorted)) % 112.38/112.80 (define @t593 () (@list @t592 @t591 @t590)) % 112.38/112.80 (define @t594 () (tptp.vabs @t592 @t591 @t590)) % 112.38/112.80 (define @t595 () (not (= @t590 @t590))) % 112.38/112.80 (define @t596 () (or @t595 (= @t594 @t594))) % 112.38/112.80 (define @t597 () (@var "BOUND_VARIABLE_7954" $$unsorted)) % 112.38/112.80 (define @t598 () (= @t594 (tptp.vabs @t592 @t591 @t597))) % 112.38/112.80 (define @t599 () (not (= @t597 @t590))) % 112.38/112.80 (define @t600 () (or @t599 @t599 @t598)) % 112.38/112.80 (define @t601 () (@list @t597)) % 112.38/112.80 (define @t602 () (or @t599 @t598)) % 112.38/112.80 (define @t603 () (forall @t601 @t602)) % 112.38/112.80 (define @t604 () (forall @t593 @t603)) % 112.38/112.80 (define @t605 () (forall (@list @t592 @t591 @t590 @t597) @t602)) % 112.38/112.80 (define @t606 () (@list @t597 @t592 @t591 @t590)) % 112.38/112.80 (define @t607 () (not (= @t591 @t591))) % 112.38/112.80 (define @t608 () (or @t607 @t599 @t598)) % 112.38/112.80 (define @t609 () (@var "BOUND_VARIABLE_7952" $$unsorted)) % 112.38/112.80 (define @t610 () (tptp.vabs @t592 @t609 @t597)) % 112.38/112.80 (define @t611 () (= @t594 @t610)) % 112.38/112.80 (define @t612 () (not (= @t609 @t591))) % 112.38/112.80 (define @t613 () (or @t612 @t612 @t599 @t611)) % 112.38/112.80 (define @t614 () (@list @t609)) % 112.38/112.80 (define @t615 () (or @t612 @t599 @t611)) % 112.38/112.80 (define @t616 () (forall @t614 @t615)) % 112.38/112.80 (define @t617 () (forall @t606 @t616)) % 112.38/112.80 (define @t618 () (forall (@list @t597 @t592 @t591 @t590 @t609) @t615)) % 112.38/112.80 (define @t619 () (@list @t609 @t597 @t592 @t591 @t590)) % 112.38/112.80 (define @t620 () (not (= @t592 @t592))) % 112.38/112.80 (define @t621 () (or @t620 @t612 @t599 (= @t610 @t594))) % 112.38/112.80 (define @t622 () (@var "BOUND_VARIABLE_7950" $$unsorted)) % 112.38/112.80 (define @t623 () (= (tptp.vabs @t622 @t609 @t597) @t594)) % 112.38/112.80 (define @t624 () (not (= @t622 @t592))) % 112.38/112.80 (define @t625 () (or @t624 @t624 @t612 @t599 @t623)) % 112.38/112.80 (define @t626 () (@list @t622)) % 112.38/112.80 (define @t627 () (or @t624 @t612 @t599 @t623)) % 112.38/112.80 (define @t628 () (forall @t626 @t627)) % 112.38/112.80 (define @t629 () (forall @t619 @t628)) % 112.38/112.80 (define @t630 () (forall (@list @t609 @t597 @t592 @t591 @t590 @t622) @t627)) % 112.38/112.80 (define @t631 () (forall (@list @t622 @t609 @t597 @t592 @t591 @t590) @t627)) % 112.38/112.80 (define @t632 () (not @t12)) % 112.38/112.80 (define @t633 () (not @t13)) % 112.38/112.80 (define @t634 () (not @t5)) % 112.38/112.80 (define @t635 () (or @t634 @t633 @t632 @t11)) % 112.38/112.80 (define @t636 () (forall @t16 @t635)) % 112.38/112.80 (define @t637 () (@list @t2 @t9 @t8 @t1 @t7 @t6)) % 112.38/112.80 (define @t638 () (or (not @t11) @t14)) % 112.38/112.80 (define @t639 () (forall @t16 @t638)) % 112.38/112.80 (define @t640 () (and @t639 @t636)) % 112.38/112.80 (define @t641 () (or @t634 @t633 @t632)) % 112.38/112.80 (define @t642 () (@quantifiers_skolemize @t418 1)) % 112.38/112.80 (define @t643 () (@quantifiers_skolemize @t418 0)) % 112.38/112.80 (define @t644 () (and @t200 (= @t643 @t190) (= @t642 tptp.veabs))) % 112.38/112.80 (define @t645 () (tptp.vabs @t193 @t643 @t642)) % 112.38/112.80 (define @t646 () (not (= @t645 @t192))) % 112.38/112.80 (define @t647 () (or @t646 @t644)) % 112.38/112.80 (define @t648 () (and @t200 (= @t190 @t643) (= tptp.veabs @t642))) % 112.38/112.80 (define @t649 () (= @t192 @t645)) % 112.38/112.80 (define @t650 () (not @t649)) % 112.38/112.80 (define @t651 () (or @t650 @t648)) % 112.38/112.80 (define @t652 () (not @t648)) % 112.38/112.80 (define @t653 () (or @t650 (not (= @t194 @t645)))) % 112.38/112.80 (define @t654 () (not @t653)) % 112.38/112.80 (define @t655 () (@quantifiers_skolemize @t437 2)) % 112.38/112.80 (define @t656 () (@quantifiers_skolemize @t437 1)) % 112.38/112.80 (define @t657 () (@quantifiers_skolemize @t437 0)) % 112.38/112.80 (define @t658 () (not (= @t194 (tptp.vabs @t657 @t656 (tptp.vsubst @t193 @t186 @t655))))) % 112.38/112.80 (define @t659 () (tptp.visFreeVar @t657 @t186)) % 112.38/112.80 (define @t660 () (= @t193 @t657)) % 112.38/112.80 (define @t661 () (tptp.vabs @t657 @t656 @t655)) % 112.38/112.80 (define @t662 () (= @t192 @t661)) % 112.38/112.80 (define @t663 () (not @t662)) % 112.38/112.80 (define @t664 () (or @t663 @t660 @t659 @t658)) % 112.38/112.80 (define @t665 () (not @t664)) % 112.38/112.80 (define @t666 () (not (= @t661 @t192))) % 112.38/112.80 (define @t667 () (or @t666 (= @t657 @t193) @t659 @t658)) % 112.38/112.80 (define @t668 () (not @t667)) % 112.38/112.80 (define @t669 () (@list @t664)) % 112.38/112.80 (define @t670 () (tptp.vsubst @t193 @t186 @t661)) % 112.38/112.80 (define @t671 () (tptp.vtcheck @t187 @t670 @t189)) % 112.38/112.80 (define @t672 () (not @t671)) % 112.38/112.80 (define @t673 () (and @t467 @t662)) % 112.38/112.80 (define @t674 () (tptp.vtcheck @t196 @t661 @t189)) % 112.38/112.80 (define @t675 () (and @t197 @t662)) % 112.38/112.80 (define @t676 () (not @t674)) % 112.38/112.80 (define @t677 () (or @t660 @t659 @t199 @t676 @t671)) % 112.38/112.80 (assume @p1 (forall (@list @t2 @t1) (and (=> @t4 @t5) (=> @t5 @t4)))) % 112.38/112.80 (assume @p2 @t17) % 112.38/112.80 (assume @p3 (forall (@list @t8 @t6 @t19 @t18) (and (=> @t21 @t22) (=> @t22 @t21)))) % 112.38/112.80 (assume @p4 @t23) % 112.38/112.80 (assume @p5 (forall @t24 (not (= @t3 @t20)))) % 112.38/112.80 (assume @p6 (forall (@list @t2 @t9 @t8 @t6 @t19) (not (= @t10 (tptp.vapp @t6 @t19))))) % 112.38/112.80 (assume @p7 (forall (@list @t28 @t27 @t26 @t8) (=> (= @t8 @t29) @t25))) % 112.38/112.80 (assume @p8 (forall (@list @t28 @t8) (=> @t32 @t30))) % 112.38/112.80 (assume @p9 (forall (@list @t34 @t33 @t8) (=> @t36 @t30))) % 112.38/112.80 (assume @p10 (forall (@list @t2 @t8 @t28 @t37) (=> (and @t40 @t32) (and (=> @t38 @t39) (=> @t39 @t38))))) % 112.38/112.80 (assume @p11 (forall (@list @t43 @t2 @t8 @t28 @t37 @t26) (=> (and @t40 (= @t8 (tptp.vabs @t28 @t43 @t26))) (and (=> @t42 @t39) (=> @t39 @t42))))) % 112.38/112.80 (assume @p12 @t50) % 112.38/112.80 (assume @p13 (and (=> @t51 true) (=> true @t51))) % 112.38/112.80 (assume @p14 (forall (@list @t2 @t9 @t53 @t1 @t7 @t52) (and (=> @t55 @t56) (=> @t56 @t55)))) % 112.38/112.80 (assume @p15 (and (=> @t57 true) (=> true @t57))) % 112.38/112.80 (assume @p16 (forall (@list @t9 @t7) (and (=> @t59 @t13) (=> @t13 @t59)))) % 112.38/112.80 (assume @p17 (forall (@list @t2 @t9 @t53) (not (= tptp.vempty @t54)))) % 112.38/112.80 (assume @p18 (forall (@list @t9) (not (= tptp.vnoType @t58)))) % 112.38/112.80 (assume @p19 (forall (@list @t60) (=> (= @t60 tptp.vnoType) (not @t61)))) % 112.38/112.80 (assume @p20 (forall (@list @t26 @t60) (=> @t62 @t61))) % 112.38/112.80 (assume @p21 (forall (@list @t60 @t63 @t26) (=> @t62 (=> (= @t63 (tptp.vgetSomeType @t60)) @t64)))) % 112.38/112.80 (assume @p22 (forall (@list @t28 @t2 @t53 @t63) (=> (and @t69 @t68) (=> @t67 @t65)))) % 112.38/112.80 (assume @p23 (forall (@list @t74 @t28 @t72 @t2 @t53 @t63 @t70) (=> @t77 (=> @t73 (=> @t67 @t71))))) % 112.38/112.80 (assume @p24 (forall (@list @t70 @t72 @t2 @t53 @t63 @t28 @t74) (=> @t77 (=> @t80 (=> @t67 @t79))))) % 112.38/112.80 (assume @p25 (forall (@list @t2 @t53 @t63) (=> (= @t66 @t63) (or (exists @t81 (and @t69 @t68 @t65)) (exists (@list @t74 @t28 @t72 @t70) (and @t69 @t76 @t73 @t71)) (exists (@list @t70 @t72 @t28 @t74) (and @t69 @t76 @t80 @t79)))))) % 112.38/112.80 (assume @p26 (forall @t85 (=> (and @t73 @t84) (tptp.vtcheck @t83 @t26 @t43)))) % 112.38/112.80 (assume @p27 (forall @t85 (=> (and @t80 @t84) (tptp.vtcheck (tptp.vbind @t72 @t70 @t83) @t26 @t43)))) % 112.38/112.80 (assume @p28 @t90) % 112.38/112.80 (assume @p29 (forall (@list @t28 @t72 @t2 @t8 @t6 @t63 @t26) (=> @t96 (=> @t73 (=> @t92 @t64))))) % 112.38/112.80 (assume @p30 (forall (@list @t26 @t28 @t2 @t8 @t6 @t63 @t72) (=> @t96 (=> @t80 (=> @t92 @t97))))) % 112.38/112.80 (assume @p31 (forall (@list @t2 @t8 @t6 @t63 @t34 @t28 @t26 @t33) (=> (and @t69 @t95 @t100) (=> @t92 @t99)))) % 112.38/112.80 (assume @p32 (forall (@list @t26 @t28 @t2 @t8 @t6 @t63 @t72 @t43 @t34) (=> @t104 (=> @t73 (=> @t92 @t102))))) % 112.38/112.80 (assume @p33 (forall (@list @t2 @t8 @t6 @t63 @t28 @t26 @t43 @t72 @t105 @t34) (=> @t104 (=> (and @t80 @t111 @t110) (=> @t92 @t107))))) % 112.38/112.80 (assume @p34 (forall (@list @t2 @t8 @t6 @t63 @t72 @t43 @t28 @t26 @t34) (=> @t104 (=> (and @t80 @t113) (=> @t92 @t112))))) % 112.38/112.80 (assume @p35 @t135) % 112.38/112.80 (assume @p36 (forall (@list @t9 @t7 @t137 @t136) (and (=> @t138 @t139) (=> @t139 @t138)))) % 112.38/112.80 (assume @p37 (forall (@list @t74 @t28 @t43) (=> @t140 (tptp.vtcheck @t74 @t31 @t43)))) % 112.38/112.80 (assume @p38 (forall (@list @t74 @t28 @t26 @t27 @t43) (=> @t142 (tptp.vtcheck @t74 @t29 @t141)))) % 112.38/112.80 (assume @p39 (forall (@list @t27 @t74 @t34 @t33 @t43) (=> (and @t144 @t143) (tptp.vtcheck @t74 @t35 @t43)))) % 112.38/112.80 (assume @p40 (forall (@list @t26 @t43 @t74) (=> @t147 (or (exists @t81 (and (= @t26 @t31) @t140)) (exists (@list @t28 @t33 @t146 @t145) (and (= @t26 (tptp.vabs @t28 @t146 @t33)) (= @t43 (tptp.varrow @t146 @t145)) (tptp.vtcheck (tptp.vbind @t28 @t146 @t74) @t33 @t145))) (exists (@list @t34 @t33 @t27) (and (= @t26 @t35) @t144 @t143)))))) % 112.38/112.80 (assume @p41 (forall @t148 (=> (and (= @t78 tptp.vnoType) @t147) @t142))) % 112.38/112.80 (assume @p42 (forall @t148 (=> (and @t149 @t142) @t147))) % 112.38/112.80 (assume @p43 (forall @t148 (=> (and @t149 @t147) @t142))) % 112.38/112.80 (assume @p44 (forall @t150 (tptp.valphaEquivalent @t26 @t26))) % 112.38/112.80 (assume @p45 (forall (@list @t33 @t34) (=> @t151 (tptp.valphaEquivalent @t33 @t34)))) % 112.38/112.80 (assume @p46 (forall (@list @t33 @t34 @t152) (=> (and @t151 (tptp.valphaEquivalent @t33 @t152)) (tptp.valphaEquivalent @t34 @t152)))) % 112.38/112.80 (assume @p47 @t154) % 112.38/112.80 (assume @p48 @t158) % 112.38/112.80 (assume @p49 (forall @t159 (=> (and @t149 @t156) (not (tptp.visFreeVar @t28 @t34))))) % 112.38/112.80 (assume @p50 @t165) % 112.38/112.80 (assume @p51 @t168) % 112.38/112.80 (assume @p52 @t171) % 112.38/112.80 (assume @p53 @t178) % 112.38/112.80 (assume @p54 true) % 112.38/112.80 (step @p55 :rule aci_norm :args ((= (or (or @t73 @t113 @t180 @t179) @t173) @t181))) % 112.38/112.80 (step @p56 :rule refl :args (@t173)) % 112.38/112.80 (step @p57 :rule refl :args (@t179)) % 112.38/112.80 (step @p58 :rule refl :args (@t180)) % 112.38/112.80 (step @p59 :rule refl :args (@t113)) % 112.38/112.80 (step @p60 :rule bool-double-not-elim :args (@t73)) % 112.38/112.80 (step @p61 :rule nary_cong :premises (@p60 @p59 @p58 @p57) :args (@t183)) % 112.38/112.80 (step @p62 :rule aci_norm :args ((= (or @t182 (or @t113 (or @t180 @t179))) @t183))) % 112.38/112.80 (step @p63 :rule trans :premises (@p62 @p61)) % 112.38/112.80 (step @p64 :rule bool-and-de-morgan :args (@t147 @t174 true)) % 112.38/112.80 (step @p65 :rule nary_cong :premises (@p59 @p64) :args ((or @t113 (not (and @t147 @t174))))) % 112.38/112.80 (step @p66 :rule bool-and-de-morgan :args (@t111 @t147 (and @t174))) % 112.38/112.80 (step @p67 :rule trans :premises (@p66 @p65)) % 112.38/112.80 (step @p68 :rule refl :args (@t182)) % 112.38/112.80 (step @p69 :rule nary_cong :premises (@p68 @p67) :args ((or @t182 (not (and @t111 @t147 @t174))))) % 112.38/112.80 (step @p70 :rule bool-and-de-morgan :args (@t80 @t111 (and @t147 @t174))) % 112.38/112.80 (step @p71 :rule trans :premises (@p70 @p69)) % 112.38/112.80 (step @p72 :rule trans :premises (@p71 @p63)) % 112.38/112.80 (step @p73 :rule nary_cong :premises (@p72 @p56) :args ((or (not @t175) @t173))) % 112.38/112.80 (step @p74 :rule trans :premises (@p73 @p55)) % 112.38/112.80 (step @p75 :rule bool-impl-elim :args (@t175 @t173)) % 112.38/112.80 (step @p76 :rule trans :premises (@p75 @p74)) % 112.38/112.80 (step @p77 :rule cong :premises (@p76) :args (@t177)) % 112.38/112.80 (step @p78 :rule cong :premises (@p77) :args (@t178)) % 112.38/112.80 (step @p79 :rule eq_resolve :premises (@p53 @p78)) % 112.38/112.80 (step @p80 :rule skolemize :premises (@p79)) % 112.38/112.80 (step @p81 :rule bool-double-not-elim :args (@t188)) % 112.38/112.80 (step @p82 :rule refl :args (@t201)) % 112.38/112.80 (step @p83 :rule nary_cong :premises (@p82 @p81) :args ((or @t201 (not @t199)))) % 112.38/112.80 (step @p84 :rule cnf_or_neg :args (@t201 2)) % 112.38/112.80 (step @p85 :rule eq_resolve :premises (@p84 @p83)) % 112.38/112.80 (step @p86 :rule reordering :premises (@p85) :args ((or @t188 @t201))) % 112.38/112.80 (step @p87 :rule chain_m_resolution :premises (@p86 @p80) :args (@t188 @t202 @t203)) % 112.38/112.80 (step @p88 :rule aci_norm :args ((= (or false @t228 @t226 @t223 @t219 @t215 @t210) @t229))) % 112.38/112.80 (step @p89 :rule refl :args (@t210)) % 112.38/112.80 (step @p90 :rule refl :args (@t215)) % 112.38/112.80 (step @p91 :rule refl :args (@t219)) % 112.38/112.80 (step @p92 :rule refl :args (@t223)) % 112.38/112.80 (step @p93 :rule eq-symm :args (@t91 @t93)) % 112.38/112.80 (step @p94 :rule cong :premises (@p93) :args (@t230)) % 112.38/112.80 (step @p95 :rule refl :args (@t207)) % 112.38/112.80 (step @p96 :rule refl :args (@t224)) % 112.38/112.80 (step @p97 :rule nary_cong :premises (@p96 @p95 @p94) :args (@t231)) % 112.38/112.80 (step @p98 :rule cong :premises (@p97) :args (@t232)) % 112.38/112.80 (step @p99 :rule cong :premises (@p98) :args (@t233)) % 112.38/112.80 (step @p100 :rule refl :args (@t228)) % 112.38/112.80 (step @p101 :rule evaluate :args ((not true))) % 112.38/112.80 (step @p102 :rule eq-refl :args (@t91)) % 112.38/112.80 (step @p103 :rule cong :premises (@p102) :args (@t234)) % 112.38/112.80 (step @p104 :rule trans :premises (@p103 @p101)) % 112.38/112.80 (step @p105 :rule nary_cong :premises (@p104 @p100 @p99 @p92 @p91 @p90 @p89) :args (@t235)) % 112.38/112.80 (step @p106 :rule trans :premises (@p105 @p88)) % 112.38/112.80 (step @p107 :rule cong :premises (@p106) :args ((forall @t24 @t235))) % 112.38/112.80 (step @p108 :rule quant-var-elim-eq :args ((= (forall @t257 @t256) @t235))) % 112.38/112.80 (step @p109 :rule aci_norm :args ((= @t258 @t256))) % 112.38/112.80 (step @p110 :rule cong :premises (@p109) :args (@t259)) % 112.38/112.80 (step @p111 :rule trans :premises (@p110 @p108)) % 112.38/112.80 (step @p112 :rule cong :premises (@p111) :args (@t260)) % 112.38/112.80 (step @p113 :rule quant-merge-prenex :args ((= @t260 (forall @t134 @t258)))) % 112.38/112.80 (step @p114 :rule symm :premises (@p113)) % 112.38/112.80 (step @p115 :rule trans :premises (@p114 @p112)) % 112.38/112.80 (step @p116 :rule trans :premises (@p115 @p107)) % 112.38/112.80 (step @p117 :rule aci_norm :args ((= (or @t255 (or @t254 @t252 @t248 @t245 @t241 @t238)) @t258))) % 112.38/112.80 (step @p118 :rule refl :args (@t238)) % 112.38/112.80 (step @p119 :rule refl :args (@t241)) % 112.38/112.80 (step @p120 :rule refl :args (@t245)) % 112.38/112.80 (step @p121 :rule refl :args (@t248)) % 112.38/112.80 (step @p122 :rule refl :args (@t252)) % 112.38/112.80 (step @p123 :rule bool-double-not-elim :args (@t253)) % 112.38/112.80 (step @p124 :rule bool-double-not-elim :args (@t227)) % 112.38/112.80 (step @p125 :rule nary_cong :premises (@p124 @p123) :args ((and (not @t262) (not @t261)))) % 112.38/112.80 (step @p126 :rule bool-or-de-morgan :args (@t262 @t261 false)) % 112.38/112.80 (step @p127 :rule trans :premises (@p126 @p125)) % 112.38/112.80 (step @p128 :rule nary_cong :premises (@p127 @p122 @p121 @p120 @p119 @p118) :args (@t263)) % 112.38/112.80 (step @p129 :rule refl :args (@t255)) % 112.38/112.80 (step @p130 :rule nary_cong :premises (@p129 @p128) :args ((or @t255 @t263))) % 112.38/112.80 (step @p131 :rule trans :premises (@p130 @p117)) % 112.38/112.80 (step @p132 :rule bool-impl-elim :args (@t92 @t263)) % 112.38/112.80 (step @p133 :rule trans :premises (@p132 @p131)) % 112.38/112.80 (step @p134 :rule cong :premises (@p133) :args ((forall @t134 (=> @t92 @t263)))) % 112.38/112.80 (step @p135 :rule trans :premises (@p134 @p116)) % 112.38/112.80 (step @p136 :rule aci_norm :args ((= (or false @t208 @t207 @t206 @t236) @t237))) % 112.38/112.80 (step @p137 :rule refl :args (@t236)) % 112.38/112.80 (step @p138 :rule refl :args (@t206)) % 112.38/112.80 (step @p139 :rule refl :args (@t208)) % 112.38/112.80 (step @p140 :rule eq-refl :args (@t8)) % 112.38/112.80 (step @p141 :rule cong :premises (@p140) :args (@t264)) % 112.38/112.80 (step @p142 :rule trans :premises (@p141 @p101)) % 112.38/112.80 (step @p143 :rule nary_cong :premises (@p142 @p139 @p95 @p138 @p137) :args (@t265)) % 112.38/112.80 (step @p144 :rule trans :premises (@p143 @p136)) % 112.38/112.80 (step @p145 :rule cong :premises (@p144) :args ((forall @t209 @t265))) % 112.38/112.80 (step @p146 :rule quant-var-elim-eq :args ((= (forall @t150 (or @t269 @t268 @t208 @t207 @t111 @t267)) @t265))) % 112.38/112.80 (step @p147 :rule refl :args (@t267)) % 112.38/112.80 (step @p148 :rule refl :args (@t111)) % 112.38/112.80 (step @p149 :rule refl :args (@t207)) % 112.38/112.80 (step @p150 :rule refl :args (@t208)) % 112.38/112.80 (step @p151 :rule refl :args (@t268)) % 112.38/112.80 (step @p152 :rule eq-symm :args (@t8 @t26)) % 112.38/112.80 (step @p153 :rule cong :premises (@p152) :args (@t268)) % 112.38/112.80 (step @p154 :rule nary_cong :premises (@p153 @p151 @p150 @p149 @p148 @p147) :args (@t270)) % 112.38/112.80 (step @p155 :rule aci_norm :args ((= @t271 @t270))) % 112.38/112.80 (step @p156 :rule trans :premises (@p155 @p154)) % 112.38/112.80 (step @p157 :rule cong :premises (@p156) :args (@t272)) % 112.38/112.80 (step @p158 :rule trans :premises (@p157 @p146)) % 112.38/112.80 (step @p159 :rule cong :premises (@p158) :args (@t273)) % 112.38/112.80 (step @p160 :rule quant-merge-prenex :args ((= @t273 @t274))) % 112.38/112.80 (step @p161 :rule symm :premises (@p160)) % 112.38/112.80 (step @p162 :rule quant_var_reordering :args ((= (forall @t275 @t271) @t274))) % 112.38/112.80 (step @p163 :rule trans :premises (@p162 @p161 @p159)) % 112.38/112.80 (step @p164 :rule trans :premises (@p163 @p145)) % 112.38/112.80 (step @p165 :rule aci_norm :args ((= (or false @t268 @t208 @t207 @t111 @t267) @t271))) % 112.38/112.80 (step @p166 :rule refl :args (@t267)) % 112.38/112.80 (step @p167 :rule refl :args (@t111)) % 112.38/112.80 (step @p168 :rule refl :args (@t268)) % 112.38/112.80 (step @p169 :rule eq-refl :args (@t2)) % 112.38/112.80 (step @p170 :rule cong :premises (@p169) :args (@t276)) % 112.38/112.80 (step @p171 :rule trans :premises (@p170 @p101)) % 112.38/112.80 (step @p172 :rule nary_cong :premises (@p171 @p168 @p139 @p95 @p167 @p166) :args (@t277)) % 112.38/112.80 (step @p173 :rule trans :premises (@p172 @p165)) % 112.38/112.80 (step @p174 :rule cong :premises (@p173) :args ((forall @t275 @t277))) % 112.38/112.80 (step @p175 :rule trans :premises (@p174 @p164)) % 112.38/112.80 (step @p176 :rule quant-var-elim-eq :args ((= (forall @t81 (or @t280 @t279 @t268 @t208 @t73 @t111 @t278)) @t277))) % 112.38/112.80 (step @p177 :rule refl :args (@t278)) % 112.38/112.80 (step @p178 :rule refl :args (@t73)) % 112.38/112.80 (step @p179 :rule refl :args (@t279)) % 112.38/112.80 (step @p180 :rule eq-symm :args (@t2 @t28)) % 112.38/112.80 (step @p181 :rule cong :premises (@p180) :args (@t279)) % 112.38/112.80 (step @p182 :rule nary_cong :premises (@p181 @p179 @p151 @p150 @p178 @p148 @p177) :args (@t281)) % 112.38/112.80 (step @p183 :rule aci_norm :args ((= @t282 @t281))) % 112.38/112.80 (step @p184 :rule trans :premises (@p183 @p182)) % 112.38/112.80 (step @p185 :rule cong :premises (@p184) :args (@t283)) % 112.38/112.80 (step @p186 :rule trans :premises (@p185 @p176)) % 112.38/112.80 (step @p187 :rule cong :premises (@p186) :args (@t284)) % 112.38/112.80 (step @p188 :rule quant-merge-prenex :args ((= @t284 @t285))) % 112.38/112.80 (step @p189 :rule symm :premises (@p188)) % 112.38/112.80 (step @p190 :rule quant_var_reordering :args ((= (forall @t115 @t282) @t285))) % 112.38/112.80 (step @p191 :rule trans :premises (@p190 @p189 @p187)) % 112.38/112.80 (step @p192 :rule trans :premises (@p191 @p175)) % 112.38/112.80 (step @p193 :rule bool-double-not-elim :args (@t111)) % 112.38/112.80 (step @p194 :rule nary_cong :premises (@p179 @p151 @p150 @p60 @p193 @p177) :args (@t287)) % 112.38/112.80 (step @p195 :rule aci_norm :args ((= (or @t279 (or @t268 (or @t208 (or @t182 (or @t286 @t278))))) @t287))) % 112.38/112.80 (step @p196 :rule trans :premises (@p195 @p194)) % 112.38/112.80 (step @p197 :rule bool-and-de-morgan :args (@t113 @t112 true)) % 112.38/112.80 (step @p198 :rule nary_cong :premises (@p68 @p197) :args ((or @t182 (not (and @t113 @t112))))) % 112.38/112.80 (step @p199 :rule bool-and-de-morgan :args (@t80 @t113 (and @t112))) % 112.38/112.80 (step @p200 :rule trans :premises (@p199 @p198)) % 112.38/112.80 (step @p201 :rule nary_cong :premises (@p150 @p200) :args ((or @t208 (not (and @t80 @t113 @t112))))) % 112.38/112.80 (step @p202 :rule bool-and-de-morgan :args (@t103 @t80 (and @t113 @t112))) % 112.38/112.80 (step @p203 :rule trans :premises (@p202 @p201)) % 112.38/112.80 (step @p204 :rule nary_cong :premises (@p151 @p203) :args ((or @t268 (not (and @t103 @t80 @t113 @t112))))) % 112.38/112.80 (step @p205 :rule bool-and-de-morgan :args (@t95 @t103 (and @t80 @t113 @t112))) % 112.38/112.80 (step @p206 :rule trans :premises (@p205 @p204)) % 112.38/112.80 (step @p207 :rule nary_cong :premises (@p179 @p206) :args ((or @t279 (not (and @t95 @t103 @t80 @t113 @t112))))) % 112.38/112.80 (step @p208 :rule bool-and-de-morgan :args (@t69 @t95 (and @t103 @t80 @t113 @t112))) % 112.38/112.80 (step @p209 :rule trans :premises (@p208 @p207)) % 112.38/112.80 (step @p210 :rule trans :premises (@p209 @p196)) % 112.38/112.80 (step @p211 :rule cong :premises (@p210) :args (@t288)) % 112.38/112.80 (step @p212 :rule trans :premises (@p211 @p192)) % 112.38/112.80 (step @p213 :rule cong :premises (@p212) :args (@t289)) % 112.38/112.80 (step @p214 :rule exists-elim :args ((= @t116 @t289))) % 112.38/112.80 (step @p215 :rule trans :premises (@p214 @p213)) % 112.38/112.80 (step @p216 :rule aci_norm :args ((= (or @t208 @t207 @t213 false @t239) @t240))) % 112.38/112.80 (step @p217 :rule refl :args (@t239)) % 112.38/112.80 (step @p218 :rule eq-refl :args (@t211)) % 112.38/112.80 (step @p219 :rule cong :premises (@p218) :args (@t290)) % 112.38/112.80 (step @p220 :rule trans :premises (@p219 @p101)) % 112.38/112.80 (step @p221 :rule refl :args (@t213)) % 112.38/112.80 (step @p222 :rule nary_cong :premises (@p139 @p95 @p221 @p220 @p217) :args (@t291)) % 112.38/112.80 (step @p223 :rule trans :premises (@p222 @p216)) % 112.38/112.80 (step @p224 :rule cong :premises (@p223) :args ((forall @t214 @t291))) % 112.38/112.80 (step @p225 :rule quant-var-elim-eq :args ((= (forall @t295 @t294) @t291))) % 112.38/112.80 (step @p226 :rule aci_norm :args ((= @t296 @t294))) % 112.38/112.80 (step @p227 :rule cong :premises (@p226) :args (@t297)) % 112.38/112.80 (step @p228 :rule trans :premises (@p227 @p225)) % 112.38/112.80 (step @p229 :rule cong :premises (@p228) :args (@t298)) % 112.38/112.80 (step @p230 :rule quant-merge-prenex :args ((= @t298 @t299))) % 112.38/112.80 (step @p231 :rule symm :premises (@p230)) % 112.38/112.80 (step @p232 :rule quant_var_reordering :args ((= (forall @t300 @t296) @t299))) % 112.38/112.80 (step @p233 :rule trans :premises (@p232 @p231 @p229)) % 112.38/112.80 (step @p234 :rule trans :premises (@p233 @p224)) % 112.38/112.80 (step @p235 :rule aci_norm :args ((= (or false @t208 @t207 @t213 @t293 @t292) @t296))) % 112.38/112.80 (step @p236 :rule refl :args (@t292)) % 112.38/112.80 (step @p237 :rule refl :args (@t293)) % 112.38/112.80 (step @p238 :rule nary_cong :premises (@p142 @p139 @p95 @p221 @p237 @p236) :args (@t301)) % 112.38/112.80 (step @p239 :rule trans :premises (@p238 @p235)) % 112.38/112.80 (step @p240 :rule cong :premises (@p239) :args ((forall @t300 @t301))) % 112.38/112.80 (step @p241 :rule trans :premises (@p240 @p234)) % 112.38/112.80 (step @p242 :rule quant-var-elim-eq :args ((= (forall @t150 (or @t269 @t268 @t208 @t207 @t113 @t303 @t302)) @t301))) % 112.38/112.80 (step @p243 :rule refl :args (@t302)) % 112.38/112.80 (step @p244 :rule refl :args (@t303)) % 112.38/112.80 (step @p245 :rule nary_cong :premises (@p153 @p151 @p150 @p149 @p59 @p244 @p243) :args (@t304)) % 112.38/112.80 (step @p246 :rule aci_norm :args ((= @t305 @t304))) % 112.38/112.80 (step @p247 :rule trans :premises (@p246 @p245)) % 112.38/112.80 (step @p248 :rule cong :premises (@p247) :args (@t306)) % 112.38/112.80 (step @p249 :rule trans :premises (@p248 @p242)) % 112.38/112.80 (step @p250 :rule cong :premises (@p249) :args (@t307)) % 112.38/112.80 (step @p251 :rule quant-merge-prenex :args ((= @t307 @t308))) % 112.38/112.80 (step @p252 :rule symm :premises (@p251)) % 112.38/112.80 (step @p253 :rule quant_var_reordering :args ((= (forall @t309 @t305) @t308))) % 112.38/112.80 (step @p254 :rule trans :premises (@p253 @p252 @p250)) % 112.38/112.80 (step @p255 :rule trans :premises (@p254 @p241)) % 112.38/112.80 (step @p256 :rule aci_norm :args ((= (or false @t268 @t208 @t207 @t113 @t303 @t302) @t305))) % 112.38/112.80 (step @p257 :rule refl :args (@t302)) % 112.38/112.80 (step @p258 :rule refl :args (@t303)) % 112.38/112.80 (step @p259 :rule refl :args (@t113)) % 112.38/112.80 (step @p260 :rule 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@t342))) % 112.38/112.80 (step @p362 :rule bool-and-de-morgan :args (@t73 @t102 true)) % 112.38/112.80 (step @p363 :rule nary_cong :premises (@p150 @p362) :args ((or @t208 (not (and @t73 @t102))))) % 112.38/112.80 (step @p364 :rule bool-and-de-morgan :args (@t103 @t73 (and @t102))) % 112.38/112.80 (step @p365 :rule trans :premises (@p364 @p363)) % 112.38/112.80 (step @p366 :rule nary_cong :premises (@p151 @p365) :args ((or @t268 (not (and @t103 @t73 @t102))))) % 112.38/112.80 (step @p367 :rule bool-and-de-morgan :args (@t95 @t103 (and @t73 @t102))) % 112.38/112.80 (step @p368 :rule trans :premises (@p367 @p366)) % 112.38/112.80 (step @p369 :rule nary_cong :premises (@p179 @p368) :args ((or @t279 (not (and @t95 @t103 @t73 @t102))))) % 112.38/112.80 (step @p370 :rule bool-and-de-morgan :args (@t69 @t95 (and @t103 @t73 @t102))) % 112.38/112.80 (step @p371 :rule trans :premises (@p370 @p369)) % 112.38/112.80 (step @p372 :rule trans :premises (@p371 @p361)) % 112.38/112.80 (step @p373 :rule 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:rule nary_cong :premises (@p153 @p151 @p386 @p385) :args (@t348)) % 112.38/112.80 (step @p388 :rule aci_norm :args ((= @t349 @t348))) % 112.38/112.80 (step @p389 :rule trans :premises (@p388 @p387)) % 112.38/112.80 (step @p390 :rule cong :premises (@p389) :args (@t350)) % 112.38/112.80 (step @p391 :rule trans :premises (@p390 @p384)) % 112.38/112.80 (step @p392 :rule cong :premises (@p391) :args (@t351)) % 112.38/112.80 (step @p393 :rule quant-merge-prenex :args ((= @t351 @t352))) % 112.38/112.80 (step @p394 :rule symm :premises (@p393)) % 112.38/112.80 (step @p395 :rule quant_var_reordering :args ((= (forall @t353 @t349) @t352))) % 112.38/112.80 (step @p396 :rule trans :premises (@p395 @p394 @p392)) % 112.38/112.80 (step @p397 :rule trans :premises (@p396 @p383)) % 112.38/112.80 (step @p398 :rule aci_norm :args ((= (or false @t268 @t221 @t347) @t349))) % 112.38/112.80 (step @p399 :rule refl :args (@t347)) % 112.38/112.80 (step @p400 :rule nary_cong :premises (@p171 @p168 @p380 @p399) :args (@t354)) % 112.38/112.80 (step @p401 :rule trans :premises (@p400 @p398)) % 112.38/112.80 (step @p402 :rule cong :premises (@p401) :args ((forall @t353 @t354))) % 112.38/112.80 (step @p403 :rule trans :premises (@p402 @p397)) % 112.38/112.80 (step @p404 :rule quant-var-elim-eq :args ((= (forall @t81 (or @t280 @t279 @t268 @t221 @t355)) @t354))) % 112.38/112.80 (step @p405 :rule refl :args (@t355)) % 112.38/112.80 (step @p406 :rule nary_cong :premises (@p181 @p179 @p151 @p386 @p405) :args (@t356)) % 112.38/112.80 (step @p407 :rule aci_norm :args ((= @t357 @t356))) % 112.38/112.80 (step @p408 :rule trans :premises (@p407 @p406)) % 112.38/112.80 (step @p409 :rule cong :premises (@p408) :args (@t358)) % 112.38/112.80 (step @p410 :rule trans :premises (@p409 @p404)) % 112.38/112.80 (step @p411 :rule cong :premises (@p410) :args (@t359)) % 112.38/112.80 (step @p412 :rule quant-merge-prenex :args ((= @t359 @t360))) % 112.38/112.80 (step @p413 :rule symm :premises (@p412)) % 112.38/112.80 (step @p414 :rule quant_var_reordering :args ((= (forall @t124 @t357) @t360))) % 112.38/112.80 (step @p415 :rule trans :premises (@p414 @p413 @p411)) % 112.38/112.80 (step @p416 :rule trans :premises (@p415 @p403)) % 112.38/112.80 (step @p417 :rule aci_norm :args ((= (or @t279 (or @t268 (or @t221 @t355))) @t357))) % 112.38/112.80 (step @p418 :rule bool-and-de-morgan :args (@t100 @t99 true)) % 112.38/112.80 (step @p419 :rule nary_cong :premises (@p151 @p418) :args ((or @t268 (not (and @t100 @t99))))) % 112.38/112.80 (step @p420 :rule bool-and-de-morgan :args (@t95 @t100 (and @t99))) % 112.38/112.80 (step @p421 :rule trans :premises (@p420 @p419)) % 112.38/112.80 (step @p422 :rule nary_cong :premises (@p179 @p421) :args ((or @t279 (not (and @t95 @t100 @t99))))) % 112.38/112.80 (step @p423 :rule bool-and-de-morgan :args (@t69 @t95 (and @t100 @t99))) % 112.38/112.80 (step @p424 :rule trans :premises (@p423 @p422)) % 112.38/112.80 (step @p425 :rule trans :premises (@p424 @p417)) % 112.38/112.80 (step @p426 :rule cong :premises (@p425) :args (@t361)) % 112.38/112.80 (step @p427 :rule trans :premises (@p426 @p416)) % 112.38/112.80 (step @p428 :rule cong :premises (@p427) :args (@t362)) % 112.38/112.80 (step @p429 :rule exists-elim :args ((= @t125 @t362))) % 112.38/112.80 (step @p430 :rule trans :premises (@p429 @p428)) % 112.38/112.80 (step @p431 :rule aci_norm :args ((= (or @t251 false) @t251))) % 112.38/112.80 (step @p432 :rule aci_norm :args ((= (or false @t224 @t207 @t249) @t250))) % 112.38/112.80 (step @p433 :rule refl :args (@t249)) % 112.38/112.80 (step @p434 :rule nary_cong :premises (@p171 @p96 @p95 @p433) :args (@t363)) % 112.38/112.80 (step @p435 :rule trans :premises (@p434 @p432)) % 112.38/112.80 (step @p436 :rule cong :premises (@p435) :args ((forall @t225 @t363))) % 112.38/112.80 (step @p437 :rule quant-var-elim-eq :args ((= (forall @t81 (or @t280 @t279 @t224 @t73 @t249)) @t363))) % 112.38/112.80 (step @p438 :rule refl :args (@t249)) % 112.38/112.80 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112.38/112.80 (step @p839 :rule nary_cong :premises (@p838 @p837) :args ((or @t286 (not (and @t147 @t163))))) % 112.38/112.80 (step @p840 :rule bool-and-de-morgan :args (@t113 @t147 (and @t163))) % 112.38/112.80 (step @p841 :rule trans :premises (@p840 @p839)) % 112.38/112.80 (step @p842 :rule nary_cong :premises (@p68 @p841) :args ((or @t182 (not (and @t113 @t147 @t163))))) % 112.38/112.80 (step @p843 :rule bool-and-de-morgan :args (@t80 @t113 (and @t147 @t163))) % 112.38/112.80 (step @p844 :rule trans :premises (@p843 @p842)) % 112.38/112.80 (step @p845 :rule trans :premises (@p844 @p836)) % 112.38/112.80 (step @p846 :rule nary_cong :premises (@p845 @p832) :args ((or (not @t164) @t161))) % 112.38/112.80 (step @p847 :rule trans :premises (@p846 @p831)) % 112.38/112.80 (step @p848 :rule bool-impl-elim :args (@t164 @t161)) % 112.38/112.80 (step @p849 :rule trans :premises (@p848 @p847)) % 112.38/112.80 (step @p850 :rule cong :premises (@p849) :args (@t165)) % 112.38/112.80 (step @p851 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:rule refl :args (@t193)) % 112.38/112.80 (step @p1122 :rule cong :premises (@p1121 @p1120 @p1119) :args (@t670)) % 112.38/112.80 (step @p646 :rule refl :args (@t187)) % 112.38/112.80 (step @p1123 :rule cong :premises (@p646 @p1122 @p617) :args (@t671)) % 112.38/112.80 (step @p1124 :rule trans :premises (@p1123 @p644)) % 112.38/112.80 (step @p1125 :rule false_elim :premises (@p1124)) % 112.38/112.80 (step-pop @p1200 :rule scope :premises (@p1125)) % 112.38/112.80 (step-pop @p1201 :rule scope :premises (@p1200)) % 112.38/112.80 (step @p1126 :rule process_scope :premises (@p1201) :args (@t672)) % 112.38/112.80 (step @p1129 :rule and_intro :premises (@p635 @p1197)) % 112.38/112.80 (step @p1130 :rule modus_ponens :premises (@p1129 @p1126)) % 112.38/112.80 (step-pop @p1202 :rule scope :premises (@p1130)) % 112.38/112.80 (step-pop @p1203 :rule scope :premises (@p1202)) % 112.38/112.80 (step @p1131 :rule process_scope :premises (@p1203) :args (@t672)) % 112.38/112.80 (step @p1134 :rule implies_elim :premises (@p1131)) % 112.38/112.80 (step @p1135 :rule cnf_and_neg :args (@t673)) % 112.38/112.80 (step @p1136 :rule resolution :premises (@p1135 @p1134) :args (true @t673)) % 112.38/112.80 (step @p1137 :rule eq_resolve :premises (@p1136 @p1114)) % 112.38/112.80 (step @p1138 :rule chain_m_resolution :premises (@p1137 @p635 @p1111) :args (@t672 @t483 (@list @t195 @t662))) % 112.38/112.80 (assume-push @p1204 @t197) % 112.38/112.80 (assume-push @p1205 @t662) % 112.38/112.80 (assume-push @p1206 @t197) % 112.38/112.80 (assume-push @p1207 @t662) % 112.38/112.80 (step @p616 :rule true_intro :premises (@p611)) % 112.38/112.80 (step @p617 :rule refl :args (@t189)) % 112.38/112.80 (step @p1143 :rule symm :premises (@p1205)) % 112.38/112.80 (step @p619 :rule refl :args (@t196)) % 112.38/112.80 (step @p1144 :rule cong :premises (@p619 @p1143 @p617) :args (@t674)) % 112.38/112.80 (step @p1145 :rule trans :premises (@p1144 @p616)) % 112.38/112.80 (step @p1146 :rule true_elim :premises (@p1145)) % 112.38/112.80 (step-pop @p1208 :rule scope :premises (@p1146)) % 112.38/112.80 (step-pop @p1209 :rule scope :premises (@p1208)) % 112.38/112.80 (step @p1147 :rule process_scope :premises (@p1209) :args (@t674)) % 112.38/112.80 (step @p1150 :rule and_intro :premises (@p611 @p1205)) % 112.38/112.80 (step @p1151 :rule modus_ponens :premises (@p1150 @p1147)) % 112.38/112.80 (step-pop @p1210 :rule scope :premises (@p1151)) % 112.38/112.80 (step-pop @p1211 :rule scope :premises (@p1210)) % 112.38/112.80 (step @p1152 :rule process_scope :premises (@p1211) :args (@t674)) % 112.38/112.80 (step @p1155 :rule implies_elim :premises (@p1152)) % 112.38/112.80 (step @p1156 :rule cnf_and_neg :args (@t675)) % 112.38/112.80 (step @p1157 :rule resolution :premises (@p1156 @p1155) :args (true @t675)) % 112.38/112.80 (step @p1158 :rule chain_m_resolution :premises (@p1157 @p611 @p1111) :args (@t674 (@list false false) (@list @t197 @t662))) % 112.38/112.80 (step @p1159 :rule cnf_or_pos :args (@t677)) % 112.38/112.80 (step @p1160 :rule reordering :premises (@p1159) :args ((or @t199 @t659 @t660 @t676 @t671 (not @t677)))) % 112.38/112.80 (step @p1161 false :rule chain_m_resolution :premises (@p1160 @p1158 @p1138 @p1104 @p1103 @p1101 @p87) :args (false (@list false true false true true false) (@list @t674 @t671 @t677 @t659 @t660 @t188))) % 112.38/112.80 ) % 112.38/112.80 % SZS output end Proof % 112.38/112.80 % cvc5 exiting %------------------------------------------------------------------------------