%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : COM131+1 : TPTP v9.2.1. Released v6.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n023.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 34.01s 34.29s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : COM131+1 : TPTP v9.2.1. Released v6.4.0. % 0.14/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.34 % Computer : n023.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 20:31:13 EDT 2026 % 0.18/0.34 % CPUTime : % 0.29/0.52 %----Proving TF0_NAR, FOF, or CNF % 34.01/34.29 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 34.01/34.29 --- Run --no-e-matching --full-saturate-quant at 6... % 34.01/34.29 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 34.01/34.29 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 34.01/34.29 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 34.01/34.29 % SZS status Theorem % 34.01/34.29 % SZS output start Proof % 34.01/34.29 ( % 34.01/34.29 (declare-sort $$unsorted 0) % 34.01/34.29 (declare-const tptp.veabs $$unsorted) % 34.01/34.29 (declare-const tptp.varrow (-> $$unsorted $$unsorted $$unsorted)) % 34.01/34.29 (declare-const tptp.vgetSomeExp (-> $$unsorted $$unsorted)) % 34.01/34.29 (declare-const tptp.vsomeExp (-> $$unsorted $$unsorted)) % 34.01/34.29 (declare-const tptp.vnoExp $$unsorted) % 34.01/34.29 (declare-const tptp.vsubst (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.01/34.29 (declare-const tptp.vgensym (-> $$unsorted $$unsorted)) % 34.01/34.29 (declare-const tptp.vapp (-> $$unsorted $$unsorted $$unsorted)) % 34.01/34.29 (declare-const tptp.visValue (-> $$unsorted Bool)) % 34.01/34.29 (declare-const tptp.vempty $$unsorted) % 34.01/34.29 (declare-const tptp.vbind (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.01/34.29 (declare-const tptp.vnoType $$unsorted) % 34.01/34.29 (declare-const tptp.visFreeVar (-> $$unsorted $$unsorted Bool)) % 34.01/34.29 (declare-const tptp.vtcheck (-> $$unsorted $$unsorted $$unsorted Bool)) % 34.01/34.29 (declare-const tptp.vsomeType (-> $$unsorted $$unsorted)) % 34.01/34.29 (declare-const tptp.visSomeExp (-> $$unsorted Bool)) % 34.01/34.29 (declare-const tptp.vvar (-> $$unsorted $$unsorted)) % 34.01/34.29 (declare-const tptp.vlookup (-> $$unsorted $$unsorted $$unsorted)) % 34.01/34.29 (declare-const tptp.vabs (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.01/34.29 (declare-const tptp.visSomeType (-> $$unsorted Bool)) % 34.01/34.29 (declare-const tptp.vreduce (-> $$unsorted $$unsorted)) % 34.01/34.29 (declare-const tptp.vgetSomeType (-> $$unsorted $$unsorted)) % 34.01/34.29 (define @t1 () (@var "VVar1" $$unsorted)) % 34.01/34.29 (define @t2 () (@var "VVar0" $$unsorted)) % 34.01/34.29 (define @t3 () (tptp.vvar @t2)) % 34.01/34.29 (define @t4 () (= @t3 (tptp.vvar @t1))) % 34.01/34.29 (define @t5 () (= @t2 @t1)) % 34.01/34.29 (define @t6 () (@var "VExp1" $$unsorted)) % 34.01/34.29 (define @t7 () (@var "VTyp1" $$unsorted)) % 34.01/34.29 (define @t8 () (@var "VExp0" $$unsorted)) % 34.01/34.29 (define @t9 () (@var "VTyp0" $$unsorted)) % 34.01/34.29 (define @t10 () (tptp.vabs @t2 @t9 @t8)) % 34.01/34.29 (define @t11 () (= @t10 (tptp.vabs @t1 @t7 @t6))) % 34.01/34.29 (define @t12 () (= @t8 @t6)) % 34.01/34.29 (define @t13 () (= @t9 @t7)) % 34.01/34.29 (define @t14 () (and @t5 @t13 @t12)) % 34.01/34.29 (define @t15 () (and (=> @t11 @t14) (=> @t14 @t11))) % 34.01/34.29 (define @t16 () (@list @t2 @t9 @t8 @t1 @t7 @t6)) % 34.01/34.29 (define @t17 () (forall @t16 @t15)) % 34.01/34.29 (define @t18 () (@var "VExp3" $$unsorted)) % 34.01/34.29 (define @t19 () (@var "VExp2" $$unsorted)) % 34.01/34.29 (define @t20 () (tptp.vapp @t8 @t6)) % 34.01/34.29 (define @t21 () (= @t20 (tptp.vapp @t19 @t18))) % 34.01/34.29 (define @t22 () (and (= @t8 @t19) (= @t6 @t18))) % 34.01/34.29 (define @t23 () (forall (@list @t2 @t1 @t9 @t8) (not (= @t3 (tptp.vabs @t1 @t9 @t8))))) % 34.01/34.29 (define @t24 () (forall (@list @t2 @t9 @t8 @t6 @t19) (not (= @t10 (tptp.vapp @t6 @t19))))) % 34.01/34.29 (define @t25 () (tptp.visValue @t8)) % 34.01/34.29 (define @t26 () (@var "Ve" $$unsorted)) % 34.01/34.29 (define @t27 () (@var "VS" $$unsorted)) % 34.01/34.29 (define @t28 () (@var "Vx" $$unsorted)) % 34.01/34.29 (define @t29 () (tptp.vabs @t28 @t27 @t26)) % 34.01/34.29 (define @t30 () (= @t8 @t29)) % 34.01/34.29 (define @t31 () (not @t25)) % 34.01/34.29 (define @t32 () (tptp.vvar @t28)) % 34.01/34.29 (define @t33 () (= @t8 @t32)) % 34.01/34.29 (define @t34 () (@var "Ve2" $$unsorted)) % 34.01/34.29 (define @t35 () (@var "Ve1" $$unsorted)) % 34.01/34.29 (define @t36 () (tptp.vapp @t35 @t34)) % 34.01/34.29 (define @t37 () (= @t8 @t36)) % 34.01/34.29 (define @t38 () (@var "Vv" $$unsorted)) % 34.01/34.29 (define @t39 () (= @t28 @t38)) % 34.01/34.29 (define @t40 () (tptp.visFreeVar @t2 @t8)) % 34.01/34.29 (define @t41 () (= @t2 @t38)) % 34.01/34.29 (define @t42 () (tptp.visFreeVar @t38 @t26)) % 34.01/34.29 (define @t43 () (and (not @t39) @t42)) % 34.01/34.29 (define @t44 () (@var "VT" $$unsorted)) % 34.01/34.29 (define @t45 () (or (tptp.visFreeVar @t38 @t35) (tptp.visFreeVar @t38 @t34))) % 34.01/34.29 (define @t46 () (= tptp.vempty tptp.vempty)) % 34.01/34.29 (define @t47 () (@var "VCtx1" $$unsorted)) % 34.01/34.29 (define @t48 () (@var "VCtx0" $$unsorted)) % 34.01/34.29 (define @t49 () (tptp.vbind @t2 @t9 @t48)) % 34.01/34.29 (define @t50 () (= @t49 (tptp.vbind @t1 @t7 @t47))) % 34.01/34.29 (define @t51 () (and @t5 @t13 (= @t48 @t47))) % 34.01/34.29 (define @t52 () (= tptp.vnoType tptp.vnoType)) % 34.01/34.29 (define @t53 () (tptp.vsomeType @t9)) % 34.01/34.29 (define @t54 () (= @t53 (tptp.vsomeType @t7))) % 34.01/34.29 (define @t55 () (@var "VOptTyp0" $$unsorted)) % 34.01/34.29 (define @t56 () (tptp.visSomeType @t55)) % 34.01/34.29 (define @t57 () (= @t55 (tptp.vsomeType @t26))) % 34.01/34.29 (define @t58 () (@var "RESULT" $$unsorted)) % 34.01/34.29 (define @t59 () (= @t58 @t26)) % 34.01/34.29 (define @t60 () (= @t58 tptp.vnoType)) % 34.01/34.29 (define @t61 () (tptp.vlookup @t2 @t48)) % 34.01/34.29 (define @t62 () (= @t58 @t61)) % 34.01/34.29 (define @t63 () (= @t48 tptp.vempty)) % 34.01/34.29 (define @t64 () (= @t2 @t28)) % 34.01/34.29 (define @t65 () (@var "VTy" $$unsorted)) % 34.01/34.29 (define @t66 () (= @t58 (tptp.vsomeType @t65))) % 34.01/34.29 (define @t67 () (@var "Vy" $$unsorted)) % 34.01/34.29 (define @t68 () (= @t28 @t67)) % 34.01/34.29 (define @t69 () (@var "VC" $$unsorted)) % 34.01/34.29 (define @t70 () (tptp.vbind @t67 @t65 @t69)) % 34.01/34.29 (define @t71 () (= @t48 @t70)) % 34.01/34.29 (define @t72 () (and @t64 @t71)) % 34.01/34.29 (define @t73 () (tptp.vlookup @t28 @t69)) % 34.01/34.29 (define @t74 () (= @t58 @t73)) % 34.01/34.29 (define @t75 () (not @t68)) % 34.01/34.29 (define @t76 () (@list @t28)) % 34.01/34.29 (define @t77 () (@var "VTx" $$unsorted)) % 34.01/34.29 (define @t78 () (tptp.vbind @t28 @t77 @t69)) % 34.01/34.29 (define @t79 () (tptp.vtcheck (tptp.vbind @t28 @t77 @t70) @t26 @t44)) % 34.01/34.29 (define @t80 () (@list @t67 @t65 @t28 @t77 @t69 @t26 @t44)) % 34.01/34.29 (define @t81 () (tptp.vtcheck (tptp.vbind @t67 @t65 @t78) @t26 @t44)) % 34.01/34.29 (define @t82 () (and @t75 @t79)) % 34.01/34.29 (define @t83 () (forall @t80 (=> @t82 @t81))) % 34.01/34.29 (define @t84 () (tptp.vsubst @t2 @t8 @t6)) % 34.01/34.29 (define @t85 () (= @t58 @t84)) % 34.01/34.29 (define @t86 () (tptp.vvar @t67)) % 34.01/34.29 (define @t87 () (= @t6 @t86)) % 34.01/34.29 (define @t88 () (= @t8 @t26)) % 34.01/34.29 (define @t89 () (and @t64 @t88 @t87)) % 34.01/34.29 (define @t90 () (= @t58 @t86)) % 34.01/34.29 (define @t91 () (tptp.vsubst @t28 @t26 @t35)) % 34.01/34.29 (define @t92 () (= @t58 (tptp.vapp @t91 (tptp.vsubst @t28 @t26 @t34)))) % 34.01/34.29 (define @t93 () (= @t6 @t36)) % 34.01/34.29 (define @t94 () (tptp.vabs @t67 @t44 @t35)) % 34.01/34.29 (define @t95 () (= @t58 @t94)) % 34.01/34.29 (define @t96 () (= @t6 @t94)) % 34.01/34.29 (define @t97 () (and @t64 @t88 @t96)) % 34.01/34.29 (define @t98 () (@var "Vfresh" $$unsorted)) % 34.01/34.29 (define @t99 () (= @t58 (tptp.vsubst @t28 @t26 (tptp.vabs @t98 @t44 (tptp.vsubst @t67 (tptp.vvar @t98) @t35))))) % 34.01/34.29 (define @t100 () (= @t98 (tptp.vgensym (tptp.vapp (tptp.vapp @t26 @t35) @t32)))) % 34.01/34.29 (define @t101 () (tptp.visFreeVar @t67 @t26)) % 34.01/34.29 (define @t102 () (tptp.vabs @t67 @t44 @t91)) % 34.01/34.29 (define @t103 () (= @t58 @t102)) % 34.01/34.29 (define @t104 () (=> @t85 @t103)) % 34.01/34.29 (define @t105 () (not @t101)) % 34.01/34.29 (define @t106 () (and @t75 @t105)) % 34.01/34.29 (define @t107 () (=> @t106 @t104)) % 34.01/34.29 (define @t108 () (@list @t2 @t8 @t6 @t58 @t67 @t44 @t28 @t26 @t35)) % 34.01/34.29 (define @t109 () (forall @t108 (=> @t97 @t107))) % 34.01/34.29 (define @t110 () (@list @t67 @t44 @t28 @t26 @t35)) % 34.01/34.29 (define @t111 () (= tptp.vnoExp tptp.vnoExp)) % 34.01/34.29 (define @t112 () (tptp.vsomeExp @t8)) % 34.01/34.29 (define @t113 () (= @t112 (tptp.vsomeExp @t6))) % 34.01/34.29 (define @t114 () (@list @t8)) % 34.01/34.29 (define @t115 () (@var "VOptExp0" $$unsorted)) % 34.01/34.29 (define @t116 () (tptp.visSomeExp @t115)) % 34.01/34.29 (define @t117 () (= @t115 (tptp.vsomeExp @t26))) % 34.01/34.29 (define @t118 () (= @t58 tptp.vnoExp)) % 34.01/34.29 (define @t119 () (tptp.vreduce @t8)) % 34.01/34.29 (define @t120 () (= @t58 @t119)) % 34.01/34.29 (define @t121 () (=> @t120 @t118)) % 34.01/34.29 (define @t122 () (@var "Ve2red" $$unsorted)) % 34.01/34.29 (define @t123 () (tptp.vabs @t28 @t27 @t35)) % 34.01/34.29 (define @t124 () (= @t58 (tptp.vsomeExp (tptp.vapp @t123 (tptp.vgetSomeExp @t122))))) % 34.01/34.29 (define @t125 () (tptp.visSomeExp @t122)) % 34.01/34.29 (define @t126 () (= @t122 (tptp.vreduce @t34))) % 34.01/34.29 (define @t127 () (= @t8 (tptp.vapp @t123 @t34))) % 34.01/34.29 (define @t128 () (= @t58 (tptp.vsomeExp (tptp.vsubst @t28 @t34 @t35)))) % 34.01/34.29 (define @t129 () (tptp.visValue @t34)) % 34.01/34.29 (define @t130 () (not @t125)) % 34.01/34.29 (define @t131 () (not @t129)) % 34.01/34.29 (define @t132 () (@var "Ve1red" $$unsorted)) % 34.01/34.29 (define @t133 () (= @t58 (tptp.vsomeExp (tptp.vapp (tptp.vgetSomeExp @t132) @t34)))) % 34.01/34.29 (define @t134 () (tptp.visSomeExp @t132)) % 34.01/34.29 (define @t135 () (= @t132 (tptp.vreduce @t35))) % 34.01/34.29 (define @t136 () (@var "VVe10" $$unsorted)) % 34.01/34.29 (define @t137 () (@var "VVS0" $$unsorted)) % 34.01/34.29 (define @t138 () (@var "VVx0" $$unsorted)) % 34.01/34.29 (define @t139 () (forall (@list @t138 @t137 @t136) (not (= @t35 (tptp.vabs @t138 @t137 @t136))))) % 34.01/34.29 (define @t140 () (and @t37 @t139)) % 34.01/34.29 (define @t141 () (not @t134)) % 34.01/34.29 (define @t142 () (@var "VTyp3" $$unsorted)) % 34.01/34.29 (define @t143 () (@var "VTyp2" $$unsorted)) % 34.01/34.29 (define @t144 () (= (tptp.varrow @t9 @t7) (tptp.varrow @t143 @t142))) % 34.01/34.29 (define @t145 () (and (= @t9 @t143) (= @t7 @t142))) % 34.01/34.29 (define @t146 () (= @t73 (tptp.vsomeType @t44))) % 34.01/34.29 (define @t147 () (tptp.varrow @t27 @t44)) % 34.01/34.29 (define @t148 () (tptp.vtcheck @t69 @t29 @t147)) % 34.01/34.29 (define @t149 () (tptp.vtcheck (tptp.vbind @t28 @t27 @t69) @t26 @t44)) % 34.01/34.29 (define @t150 () (forall (@list @t69 @t28 @t26 @t27 @t44) (=> @t149 @t148))) % 34.01/34.29 (define @t151 () (tptp.vtcheck @t69 @t34 @t27)) % 34.01/34.29 (define @t152 () (tptp.vtcheck @t69 @t35 @t147)) % 34.01/34.29 (define @t153 () (and @t152 @t151)) % 34.01/34.29 (define @t154 () (= @t26 @t36)) % 34.01/34.29 (define @t155 () (and @t154 @t152 @t151)) % 34.01/34.29 (define @t156 () (@list @t35 @t34 @t27)) % 34.01/34.29 (define @t157 () (exists @t156 @t155)) % 34.01/34.29 (define @t158 () (@var "VT2" $$unsorted)) % 34.01/34.29 (define @t159 () (@var "VT1" $$unsorted)) % 34.01/34.29 (define @t160 () (tptp.vtcheck (tptp.vbind @t28 @t159 @t69) @t34 @t158)) % 34.01/34.29 (define @t161 () (tptp.varrow @t159 @t158)) % 34.01/34.29 (define @t162 () (= @t44 @t161)) % 34.01/34.29 (define @t163 () (tptp.vabs @t28 @t159 @t34)) % 34.01/34.29 (define @t164 () (= @t26 @t163)) % 34.01/34.29 (define @t165 () (and @t164 @t162 @t160)) % 34.01/34.29 (define @t166 () (@list @t28 @t34 @t159 @t158)) % 34.01/34.29 (define @t167 () (exists @t166 @t165)) % 34.01/34.29 (define @t168 () (= @t26 @t32)) % 34.01/34.29 (define @t169 () (and @t168 @t146)) % 34.01/34.29 (define @t170 () (exists @t76 @t169)) % 34.01/34.29 (define @t171 () (or @t170 @t167 @t157)) % 34.01/34.29 (define @t172 () (tptp.vtcheck @t69 @t26 @t44)) % 34.01/34.29 (define @t173 () (=> @t172 @t171)) % 34.01/34.29 (define @t174 () (@list @t26 @t44 @t69)) % 34.01/34.29 (define @t175 () (forall @t174 @t173)) % 34.01/34.29 (define @t176 () (@list @t28 @t27 @t69 @t26 @t44)) % 34.01/34.29 (define @t177 () (tptp.visFreeVar @t28 @t26)) % 34.01/34.29 (define @t178 () (not @t177)) % 34.01/34.29 (define @t179 () (and @t178 @t172)) % 34.01/34.29 (define @t180 () (forall @t176 (=> @t179 @t149))) % 34.01/34.29 (define @t181 () (tptp.vtcheck @t69 (tptp.vsubst @t28 @t26 tptp.veabs) @t158)) % 34.01/34.29 (define @t182 () (tptp.vbind @t28 @t44 @t69)) % 34.01/34.29 (define @t183 () (tptp.vtcheck @t182 tptp.veabs @t158)) % 34.01/34.29 (define @t184 () (and @t172 @t183)) % 34.01/34.29 (define @t185 () (forall (@list @t44 @t69 @t28 @t26 @t158) (=> @t184 @t181))) % 34.01/34.29 (define @t186 () (tptp.vabs @t67 @t27 @t35)) % 34.01/34.29 (define @t187 () (tptp.vabs @t67 @t27 tptp.veabs)) % 34.01/34.29 (define @t188 () (tptp.vtcheck @t69 (tptp.vsubst @t28 @t26 @t187) @t158)) % 34.01/34.29 (define @t189 () (tptp.vtcheck @t182 @t187 @t158)) % 34.01/34.29 (define @t190 () (and @t75 @t105 @t172 @t189)) % 34.01/34.29 (define @t191 () (@list @t44 @t69 @t28 @t26 @t67 @t27 @t158)) % 34.01/34.29 (define @t192 () (forall @t191 (=> @t190 @t188))) % 34.01/34.29 (define @t193 () (not @t192)) % 34.01/34.29 (define @t194 () (not @t151)) % 34.01/34.29 (define @t195 () (not @t152)) % 34.01/34.29 (define @t196 () (not @t154)) % 34.01/34.29 (define @t197 () (or @t196 @t195 @t194)) % 34.01/34.29 (define @t198 () (not (forall @t156 @t197))) % 34.01/34.29 (define @t199 () (not @t160)) % 34.01/34.29 (define @t200 () (not @t162)) % 34.01/34.29 (define @t201 () (not @t164)) % 34.01/34.29 (define @t202 () (or @t201 @t200 @t199)) % 34.01/34.29 (define @t203 () (not (forall @t166 @t202))) % 34.01/34.29 (define @t204 () (not (forall @t76 (or (not @t168) (not @t146))))) % 34.01/34.29 (define @t205 () (not @t172)) % 34.01/34.29 (define @t206 () (or @t205 @t204 @t203 @t198)) % 34.01/34.29 (define @t207 () (or @t204 @t203 @t198)) % 34.01/34.29 (define @t208 () (forall @t156 (not @t155))) % 34.01/34.29 (define @t209 () (not @t208)) % 34.01/34.29 (define @t210 () (forall @t166 (not @t165))) % 34.01/34.29 (define @t211 () (not @t210)) % 34.01/34.29 (define @t212 () (forall @t76 (not @t169))) % 34.01/34.29 (define @t213 () (not @t212)) % 34.01/34.29 (define @t214 () (not @t189)) % 34.01/34.29 (define @t215 () (or @t68 @t101 @t205 @t214 @t188)) % 34.01/34.29 (define @t216 () (forall @t191 @t215)) % 34.01/34.29 (define @t217 () (@quantifiers_skolemize @t216 1)) % 34.01/34.29 (define @t218 () (@quantifiers_skolemize @t216 0)) % 34.01/34.29 (define @t219 () (@quantifiers_skolemize @t216 2)) % 34.01/34.29 (define @t220 () (tptp.vbind @t219 @t218 @t217)) % 34.01/34.29 (define @t221 () (not (tptp.vtcheck @t220 @t34 @t27))) % 34.01/34.29 (define @t222 () (@quantifiers_skolemize @t216 6)) % 34.01/34.29 (define @t223 () (not (tptp.vtcheck @t220 @t35 (tptp.varrow @t27 @t222)))) % 34.01/34.29 (define @t224 () (@quantifiers_skolemize @t216 5)) % 34.01/34.29 (define @t225 () (@quantifiers_skolemize @t216 4)) % 34.01/34.29 (define @t226 () (tptp.vabs @t225 @t224 tptp.veabs)) % 34.01/34.29 (define @t227 () (not (= @t226 @t36))) % 34.01/34.29 (define @t228 () (or @t227 @t223 @t221)) % 34.01/34.29 (define @t229 () (forall @t156 @t228)) % 34.01/34.29 (define @t230 () (not @t229)) % 34.01/34.29 (define @t231 () (not (tptp.vtcheck (tptp.vbind @t28 @t159 @t220) @t34 @t158))) % 34.01/34.29 (define @t232 () (not (= @t222 @t161))) % 34.01/34.29 (define @t233 () (not (= @t226 @t163))) % 34.01/34.29 (define @t234 () (or @t233 @t232 @t231)) % 34.01/34.29 (define @t235 () (forall @t166 @t234)) % 34.01/34.29 (define @t236 () (not @t235)) % 34.01/34.29 (define @t237 () (tptp.vsomeType @t222)) % 34.01/34.29 (define @t238 () (not (= (tptp.vlookup @t28 @t220) @t237))) % 34.01/34.29 (define @t239 () (not (= @t226 @t32))) % 34.01/34.29 (define @t240 () (or @t239 @t238)) % 34.01/34.29 (define @t241 () (forall @t76 @t240)) % 34.01/34.29 (define @t242 () (not @t241)) % 34.01/34.29 (define @t243 () (tptp.vtcheck @t220 @t226 @t222)) % 34.01/34.29 (define @t244 () (not @t243)) % 34.01/34.29 (define @t245 () (or @t244 @t242 @t236 @t230)) % 34.01/34.29 (define @t246 () (forall @t174 @t206)) % 34.01/34.29 (define @t247 () (forall @t156 (or (not (= @t36 @t226)) @t223 @t221))) % 34.01/34.29 (define @t248 () (not @t247)) % 34.01/34.29 (define @t249 () (forall @t166 (or (not (= @t163 @t226)) (not (= @t161 @t222)) @t231))) % 34.01/34.29 (define @t250 () (not @t249)) % 34.01/34.29 (define @t251 () (forall @t76 (or (not (= @t32 @t226)) @t238))) % 34.01/34.29 (define @t252 () (not @t251)) % 34.01/34.29 (define @t253 () (or @t244 @t252 @t250 @t248)) % 34.01/34.29 (define @t254 () (@list false)) % 34.01/34.29 (define @t255 () (@quantifiers_skolemize @t249 1)) % 34.01/34.29 (define @t256 () (@quantifiers_skolemize @t249 2)) % 34.01/34.29 (define @t257 () (@quantifiers_skolemize @t249 0)) % 34.01/34.29 (define @t258 () (tptp.vabs @t257 @t256 @t255)) % 34.01/34.29 (define @t259 () (= @t226 @t258)) % 34.01/34.29 (define @t260 () (@quantifiers_skolemize @t249 3)) % 34.01/34.29 (define @t261 () (tptp.vtcheck (tptp.vbind @t257 @t256 @t220) @t255 @t260)) % 34.01/34.29 (define @t262 () (not @t261)) % 34.01/34.29 (define @t263 () (tptp.varrow @t256 @t260)) % 34.01/34.29 (define @t264 () (= @t222 @t263)) % 34.01/34.29 (define @t265 () (not @t264)) % 34.01/34.29 (define @t266 () (not @t259)) % 34.01/34.29 (define @t267 () (or @t266 @t265 @t262)) % 34.01/34.29 (define @t268 () (@var "BOUND_VARIABLE_8037" $$unsorted)) % 34.01/34.29 (define @t269 () (@var "BOUND_VARIABLE_8031" $$unsorted)) % 34.01/34.29 (define @t270 () (@var "BOUND_VARIABLE_8035" $$unsorted)) % 34.01/34.29 (define @t271 () (@var "BOUND_VARIABLE_8029" $$unsorted)) % 34.01/34.29 (define @t272 () (@var "BOUND_VARIABLE_8033" $$unsorted)) % 34.01/34.29 (define @t273 () (@var "BOUND_VARIABLE_8027" $$unsorted)) % 34.01/34.29 (define @t274 () (forall (@list @t273 @t271 @t269 @t272 @t270 @t268) (or (not (= (tptp.vabs @t273 @t271 @t269) (tptp.vabs @t272 @t270 @t268))) (and (= @t273 @t272) (= @t271 @t270) (= @t269 @t268))))) % 34.01/34.29 (define @t275 () (@var "BOUND_VARIABLE_8060" $$unsorted)) % 34.01/34.29 (define @t276 () (@var "BOUND_VARIABLE_8058" $$unsorted)) % 34.01/34.29 (define @t277 () (@var "BOUND_VARIABLE_8056" $$unsorted)) % 34.01/34.29 (define @t278 () (@list @t277 @t276 @t275)) % 34.01/34.29 (define @t279 () (tptp.vabs @t277 @t276 @t275)) % 34.01/34.29 (define @t280 () (not (= @t275 @t275))) % 34.01/34.29 (define @t281 () (or @t280 (= @t279 @t279))) % 34.01/34.29 (define @t282 () (@var "BOUND_VARIABLE_8054" $$unsorted)) % 34.01/34.29 (define @t283 () (= @t279 (tptp.vabs @t277 @t276 @t282))) % 34.01/34.29 (define @t284 () (not (= @t282 @t275))) % 34.01/34.29 (define @t285 () (or @t284 @t284 @t283)) % 34.01/34.29 (define @t286 () (@list @t282)) % 34.01/34.29 (define @t287 () (or @t284 @t283)) % 34.01/34.29 (define @t288 () (forall @t286 @t287)) % 34.01/34.29 (define @t289 () (forall @t278 @t288)) % 34.01/34.29 (define @t290 () (forall (@list @t277 @t276 @t275 @t282) @t287)) % 34.01/34.29 (define @t291 () (@list @t282 @t277 @t276 @t275)) % 34.01/34.29 (define @t292 () (not (= @t276 @t276))) % 34.01/34.29 (define @t293 () (or @t292 @t284 @t283)) % 34.01/34.29 (define @t294 () (@var "BOUND_VARIABLE_8052" $$unsorted)) % 34.01/34.29 (define @t295 () (tptp.vabs @t277 @t294 @t282)) % 34.01/34.29 (define @t296 () (= @t279 @t295)) % 34.01/34.29 (define @t297 () (not (= @t294 @t276))) % 34.01/34.29 (define @t298 () (or @t297 @t297 @t284 @t296)) % 34.01/34.29 (define @t299 () (@list @t294)) % 34.01/34.29 (define @t300 () (or @t297 @t284 @t296)) % 34.01/34.29 (define @t301 () (forall @t299 @t300)) % 34.01/34.29 (define @t302 () (forall @t291 @t301)) % 34.01/34.29 (define @t303 () (forall (@list @t282 @t277 @t276 @t275 @t294) @t300)) % 34.01/34.29 (define @t304 () (@list @t294 @t282 @t277 @t276 @t275)) % 34.01/34.29 (define @t305 () (not (= @t277 @t277))) % 34.01/34.29 (define @t306 () (or @t305 @t297 @t284 (= @t295 @t279))) % 34.01/34.29 (define @t307 () (@var "BOUND_VARIABLE_8050" $$unsorted)) % 34.01/34.29 (define @t308 () (= (tptp.vabs @t307 @t294 @t282) @t279)) % 34.01/34.29 (define @t309 () (not (= @t307 @t277))) % 34.01/34.29 (define @t310 () (or @t309 @t309 @t297 @t284 @t308)) % 34.01/34.29 (define @t311 () (@list @t307)) % 34.01/34.29 (define @t312 () (or @t309 @t297 @t284 @t308)) % 34.01/34.29 (define @t313 () (forall @t311 @t312)) % 34.01/34.29 (define @t314 () (forall @t304 @t313)) % 34.01/34.29 (define @t315 () (forall (@list @t294 @t282 @t277 @t276 @t275 @t307) @t312)) % 34.01/34.29 (define @t316 () (forall (@list @t307 @t294 @t282 @t277 @t276 @t275) @t312)) % 34.01/34.29 (define @t317 () (not @t12)) % 34.01/34.29 (define @t318 () (not @t13)) % 34.01/34.29 (define @t319 () (not @t5)) % 34.01/34.29 (define @t320 () (or @t319 @t318 @t317 @t11)) % 34.01/34.29 (define @t321 () (forall @t16 @t320)) % 34.01/34.29 (define @t322 () (@list @t2 @t9 @t8 @t1 @t7 @t6)) % 34.01/34.29 (define @t323 () (or (not @t11) @t14)) % 34.01/34.29 (define @t324 () (forall @t16 @t323)) % 34.01/34.29 (define @t325 () (and @t324 @t321)) % 34.01/34.29 (define @t326 () (or @t319 @t318 @t317)) % 34.01/34.29 (define @t327 () (= tptp.veabs @t255)) % 34.01/34.29 (define @t328 () (= @t224 @t256)) % 34.01/34.29 (define @t329 () (= @t225 @t257)) % 34.01/34.29 (define @t330 () (and @t329 @t328 @t327)) % 34.01/34.29 (define @t331 () (or @t266 @t330)) % 34.01/34.29 (define @t332 () (not @t330)) % 34.01/34.29 (define @t333 () (not @t105)) % 34.01/34.29 (define @t334 () (not @t75)) % 34.01/34.29 (define @t335 () (or @t334 @t333 @t205 @t214)) % 34.01/34.29 (define @t336 () (@quantifiers_skolemize @t216 3)) % 34.01/34.29 (define @t337 () (tptp.vsubst @t219 @t336 @t226)) % 34.01/34.29 (define @t338 () (tptp.vtcheck @t217 @t337 @t222)) % 34.01/34.29 (define @t339 () (tptp.vtcheck @t217 @t336 @t218)) % 34.01/34.29 (define @t340 () (not @t339)) % 34.01/34.29 (define @t341 () (tptp.visFreeVar @t225 @t336)) % 34.01/34.29 (define @t342 () (= @t219 @t225)) % 34.01/34.29 (define @t343 () (or @t342 @t341 @t340 @t244 @t338)) % 34.01/34.29 (define @t344 () (not @t342)) % 34.01/34.29 (define @t345 () (@list true)) % 34.01/34.29 (define @t346 () (@list @t343)) % 34.01/34.29 (define @t347 () (= @t219 @t257)) % 34.01/34.29 (define @t348 () (not @t347)) % 34.01/34.29 (define @t349 () (not @t329)) % 34.01/34.29 (define @t350 () (and @t344 @t329)) % 34.01/34.29 (define @t351 () (not @t338)) % 34.01/34.29 (define @t352 () (tptp.vsubst @t28 @t26 @t94)) % 34.01/34.29 (define @t353 () (= @t102 @t352)) % 34.01/34.29 (define @t354 () (or @t68 @t101 @t353)) % 34.01/34.29 (define @t355 () (not (= @t352 @t352))) % 34.01/34.29 (define @t356 () (or @t68 @t101 @t355 (= @t352 @t102))) % 34.01/34.29 (define @t357 () (not (= @t58 @t352))) % 34.01/34.29 (define @t358 () (or @t357 @t68 @t101 @t357 @t103)) % 34.01/34.29 (define @t359 () (@list @t58)) % 34.01/34.29 (define @t360 () (or @t68 @t101 @t357 @t103)) % 34.01/34.29 (define @t361 () (forall @t359 @t360)) % 34.01/34.29 (define @t362 () (forall @t110 @t361)) % 34.01/34.29 (define @t363 () (forall (@list @t67 @t44 @t28 @t26 @t35 @t58) @t360)) % 34.01/34.29 (define @t364 () (@list @t58 @t67 @t44 @t28 @t26 @t35)) % 34.01/34.29 (define @t365 () (not (= @t94 @t94))) % 34.01/34.29 (define @t366 () (or @t365 @t68 @t101 @t357 @t103)) % 34.01/34.29 (define @t367 () (not (= @t58 (tptp.vsubst @t28 @t26 @t6)))) % 34.01/34.29 (define @t368 () (not @t96)) % 34.01/34.29 (define @t369 () (or @t368 @t368 @t68 @t101 @t367 @t103)) % 34.01/34.29 (define @t370 () (@list @t6)) % 34.01/34.29 (define @t371 () (or @t368 @t68 @t101 @t367 @t103)) % 34.01/34.29 (define @t372 () (forall @t370 @t371)) % 34.01/34.29 (define @t373 () (forall @t364 @t372)) % 34.01/34.29 (define @t374 () (forall (@list @t58 @t67 @t44 @t28 @t26 @t35 @t6) @t371)) % 34.01/34.29 (define @t375 () (@list @t6 @t58 @t67 @t44 @t28 @t26 @t35)) % 34.01/34.29 (define @t376 () (not (= @t26 @t26))) % 34.01/34.29 (define @t377 () (or @t376 @t368 @t68 @t101 @t367 @t103)) % 34.01/34.29 (define @t378 () (not (= @t58 (tptp.vsubst @t28 @t8 @t6)))) % 34.01/34.29 (define @t379 () (not @t88)) % 34.01/34.29 (define @t380 () (or @t379 @t379 @t368 @t68 @t101 @t378 @t103)) % 34.01/34.29 (define @t381 () (or @t379 @t368 @t68 @t101 @t378 @t103)) % 34.01/34.29 (define @t382 () (forall @t114 @t381)) % 34.01/34.29 (define @t383 () (forall @t375 @t382)) % 34.01/34.29 (define @t384 () (forall (@list @t6 @t58 @t67 @t44 @t28 @t26 @t35 @t8) @t381)) % 34.01/34.29 (define @t385 () (@list @t8 @t6 @t58 @t67 @t44 @t28 @t26 @t35)) % 34.01/34.29 (define @t386 () (not (= @t28 @t28))) % 34.01/34.29 (define @t387 () (or @t386 @t379 @t368 @t68 @t101 @t378 @t103)) % 34.01/34.29 (define @t388 () (not @t85)) % 34.01/34.29 (define @t389 () (not @t64)) % 34.01/34.29 (define @t390 () (or @t389 @t389 @t379 @t368 @t68 @t101 @t388 @t103)) % 34.01/34.29 (define @t391 () (@list @t2)) % 34.01/34.29 (define @t392 () (or @t389 @t379 @t368 @t68 @t101 @t388 @t103)) % 34.01/34.29 (define @t393 () (forall @t391 @t392)) % 34.01/34.29 (define @t394 () (forall @t385 @t393)) % 34.01/34.29 (define @t395 () (forall (@list @t8 @t6 @t58 @t67 @t44 @t28 @t26 @t35 @t2) @t392)) % 34.01/34.29 (define @t396 () (or @t68 @t101 @t388 @t103)) % 34.01/34.29 (define @t397 () (or @t389 @t379 @t368)) % 34.01/34.29 (define @t398 () (tptp.vsubst @t219 @t336 tptp.veabs)) % 34.01/34.29 (define @t399 () (tptp.vabs @t225 @t224 @t398)) % 34.01/34.29 (define @t400 () (or @t342 @t341 (= @t399 @t337))) % 34.01/34.29 (define @t401 () (forall @t110 @t354)) % 34.01/34.29 (define @t402 () (= @t337 @t399)) % 34.01/34.29 (define @t403 () (or @t342 @t341 @t402)) % 34.01/34.29 (define @t404 () (tptp.varrow @t224 @t260)) % 34.01/34.29 (define @t405 () (tptp.vtcheck @t217 @t399 @t404)) % 34.01/34.29 (define @t406 () (not @t405)) % 34.01/34.29 (define @t407 () (not @t328)) % 34.01/34.29 (define @t408 () (not @t402)) % 34.01/34.29 (define @t409 () (and @t351 @t402 @t264 @t328)) % 34.01/34.29 (define @t410 () (not @t79)) % 34.01/34.29 (define @t411 () (or @t68 @t410 @t81)) % 34.01/34.29 (define @t412 () (tptp.vtcheck (tptp.vbind @t219 @t218 (tptp.vbind @t257 @t256 @t217)) @t255 @t260)) % 34.01/34.29 (define @t413 () (or (= @t257 @t219) @t262 @t412)) % 34.01/34.29 (define @t414 () (forall @t80 @t411)) % 34.01/34.29 (define @t415 () (or @t347 @t262 @t412)) % 34.01/34.29 (define @t416 () (tptp.vbind @t225 @t224 @t217)) % 34.01/34.29 (define @t417 () (tptp.vtcheck @t416 @t398 @t260)) % 34.01/34.29 (define @t418 () (not @t417)) % 34.01/34.29 (define @t419 () (or @t418 @t405)) % 34.01/34.29 (define @t420 () (tptp.vtcheck @t416 @t336 @t218)) % 34.01/34.29 (define @t421 () (or @t341 @t340 @t420)) % 34.01/34.29 (define @t422 () (not @t183)) % 34.01/34.29 (define @t423 () (tptp.vbind @t219 @t218 @t416)) % 34.01/34.29 (define @t424 () (tptp.vtcheck @t423 tptp.veabs @t260)) % 34.01/34.29 (define @t425 () (not @t424)) % 34.01/34.29 (define @t426 () (not @t420)) % 34.01/34.29 (define @t427 () (or @t426 @t425 @t417)) % 34.01/34.29 (define @t428 () (and @t329 @t328 @t327 @t412)) % 34.01/34.29 (define @t429 () (not @t267)) % 34.01/34.29 (define @t430 () (not (= @t263 @t222))) % 34.01/34.29 (define @t431 () (not (= @t258 @t226))) % 34.01/34.29 (define @t432 () (or @t431 @t430 @t262)) % 34.01/34.29 (define @t433 () (not @t432)) % 34.01/34.29 (define @t434 () (@quantifiers_skolemize @t251 0)) % 34.01/34.29 (define @t435 () (tptp.vvar @t434)) % 34.01/34.29 (define @t436 () (not (= @t435 @t226))) % 34.01/34.29 (define @t437 () (= @t226 @t435)) % 34.01/34.29 (define @t438 () (not @t437)) % 34.01/34.29 (define @t439 () (tptp.vlookup @t434 @t220)) % 34.01/34.29 (define @t440 () (or @t438 (not (= @t237 @t439)))) % 34.01/34.29 (define @t441 () (not @t440)) % 34.01/34.29 (define @t442 () (not (= @t439 @t237))) % 34.01/34.29 (define @t443 () (or @t436 @t442)) % 34.01/34.29 (define @t444 () (not @t443)) % 34.01/34.29 (define @t445 () (@quantifiers_skolemize @t247 2)) % 34.01/34.29 (define @t446 () (@quantifiers_skolemize @t247 1)) % 34.01/34.29 (define @t447 () (not (tptp.vtcheck @t220 @t446 @t445))) % 34.01/34.29 (define @t448 () (@quantifiers_skolemize @t247 0)) % 34.01/34.29 (define @t449 () (not (tptp.vtcheck @t220 @t448 (tptp.varrow @t445 @t222)))) % 34.01/34.29 (define @t450 () (tptp.vapp @t448 @t446)) % 34.01/34.29 (define @t451 () (= @t226 @t450)) % 34.01/34.29 (define @t452 () (not @t451)) % 34.01/34.29 (define @t453 () (or @t452 @t449 @t447)) % 34.01/34.29 (define @t454 () (not @t453)) % 34.01/34.29 (define @t455 () (not (= @t450 @t226))) % 34.01/34.29 (define @t456 () (or @t455 @t449 @t447)) % 34.01/34.29 (define @t457 () (not @t456)) % 34.01/34.29 (assume @p1 (forall (@list @t2 @t1) (and (=> @t4 @t5) (=> @t5 @t4)))) % 34.01/34.29 (assume @p2 @t17) % 34.01/34.29 (assume @p3 (forall (@list @t8 @t6 @t19 @t18) (and (=> @t21 @t22) (=> @t22 @t21)))) % 34.01/34.29 (assume @p4 @t23) % 34.01/34.29 (assume @p5 (forall (@list @t2 @t8 @t6) (not (= @t3 @t20)))) % 34.01/34.29 (assume @p6 @t24) % 34.01/34.29 (assume @p7 (forall (@list @t28 @t27 @t26 @t8) (=> @t30 @t25))) % 34.01/34.29 (assume @p8 (forall (@list @t28 @t8) (=> @t33 @t31))) % 34.01/34.29 (assume @p9 (forall (@list @t35 @t34 @t8) (=> @t37 @t31))) % 34.01/34.29 (assume @p10 (forall (@list @t2 @t8 @t28 @t38) (=> (and @t41 @t33) (and (=> @t39 @t40) (=> @t40 @t39))))) % 34.01/34.29 (assume @p11 (forall (@list @t44 @t2 @t8 @t28 @t38 @t26) (=> (and @t41 (= @t8 (tptp.vabs @t28 @t44 @t26))) (and (=> @t43 @t40) (=> @t40 @t43))))) % 34.01/34.29 (assume @p12 (forall (@list @t2 @t8 @t35 @t38 @t34) (=> (and @t41 @t37) (and (=> @t45 @t40) (=> @t40 @t45))))) % 34.01/34.29 (assume @p13 (and (=> @t46 true) (=> true @t46))) % 34.01/34.29 (assume @p14 (forall (@list @t2 @t9 @t48 @t1 @t7 @t47) (and (=> @t50 @t51) (=> @t51 @t50)))) % 34.01/34.29 (assume @p15 (and (=> @t52 true) (=> true @t52))) % 34.01/34.29 (assume @p16 (forall (@list @t9 @t7) (and (=> @t54 @t13) (=> @t13 @t54)))) % 34.01/34.29 (assume @p17 (forall (@list @t2 @t9 @t48) (not (= tptp.vempty @t49)))) % 34.01/34.29 (assume @p18 (forall (@list @t9) (not (= tptp.vnoType @t53)))) % 34.01/34.29 (assume @p19 (forall (@list @t55) (=> (= @t55 tptp.vnoType) (not @t56)))) % 34.01/34.29 (assume @p20 (forall (@list @t26 @t55) (=> @t57 @t56))) % 34.01/34.29 (assume @p21 (forall (@list @t55 @t58 @t26) (=> @t57 (=> (= @t58 (tptp.vgetSomeType @t55)) @t59)))) % 34.01/34.29 (assume @p22 (forall (@list @t28 @t2 @t48 @t58) (=> (and @t64 @t63) (=> @t62 @t60)))) % 34.01/34.29 (assume @p23 (forall (@list @t69 @t28 @t67 @t2 @t48 @t58 @t65) (=> @t72 (=> @t68 (=> @t62 @t66))))) % 34.01/34.29 (assume @p24 (forall (@list @t65 @t67 @t2 @t48 @t58 @t28 @t69) (=> @t72 (=> @t75 (=> @t62 @t74))))) % 34.01/34.29 (assume @p25 (forall (@list @t2 @t48 @t58) (=> (= @t61 @t58) (or (exists @t76 (and @t64 @t63 @t60)) (exists (@list @t69 @t28 @t67 @t65) (and @t64 @t71 @t68 @t66)) (exists (@list @t65 @t67 @t28 @t69) (and @t64 @t71 @t75 @t74)))))) % 34.01/34.29 (assume @p26 (forall @t80 (=> (and @t68 @t79) (tptp.vtcheck @t78 @t26 @t44)))) % 34.01/34.29 (assume @p27 @t83) % 34.01/34.29 (assume @p28 (forall (@list @t38 @t26) (=> (= (tptp.vgensym @t26) @t38) (not @t42)))) % 34.01/34.29 (assume @p29 (forall (@list @t28 @t67 @t2 @t8 @t6 @t58 @t26) (=> @t89 (=> @t68 (=> @t85 @t59))))) % 34.01/34.29 (assume @p30 (forall (@list @t26 @t28 @t2 @t8 @t6 @t58 @t67) (=> @t89 (=> @t75 (=> @t85 @t90))))) % 34.01/34.29 (assume @p31 (forall (@list @t2 @t8 @t6 @t58 @t35 @t28 @t26 @t34) (=> (and @t64 @t88 @t93) (=> @t85 @t92)))) % 34.01/34.29 (assume @p32 (forall (@list @t26 @t28 @t2 @t8 @t6 @t58 @t67 @t44 @t35) (=> @t97 (=> @t68 (=> @t85 @t95))))) % 34.01/34.29 (assume @p33 (forall (@list @t2 @t8 @t6 @t58 @t28 @t26 @t44 @t67 @t98 @t35) (=> @t97 (=> (and @t75 @t101 @t100) (=> @t85 @t99))))) % 34.01/34.29 (assume @p34 @t109) % 34.01/34.29 (assume @p35 (forall (@list @t2 @t8 @t6 @t58) (=> (= @t84 @t58) (or (exists (@list @t28 @t67 @t26) (and @t64 @t88 @t87 @t68 @t59)) (exists (@list @t26 @t28 @t67) (and @t64 @t88 @t87 @t75 @t90)) (exists (@list @t35 @t28 @t26 @t34) (and @t64 @t88 @t93 @t92)) (exists (@list @t26 @t28 @t67 @t44 @t35) (and @t64 @t88 @t96 @t68 @t95)) (exists (@list @t28 @t26 @t44 @t67 @t98 @t35) (and @t64 @t88 @t96 @t75 @t101 @t100 @t99)) (exists @t110 (and @t64 @t88 @t96 @t75 @t105 @t103)))))) % 34.01/34.29 (assume @p36 (and (=> @t111 true) (=> true @t111))) % 34.01/34.29 (assume @p37 (forall (@list @t8 @t6) (and (=> @t113 @t12) (=> @t12 @t113)))) % 34.01/34.29 (assume @p38 (forall @t114 (not (= tptp.vnoExp @t112)))) % 34.01/34.29 (assume @p39 (forall (@list @t115) (=> (= @t115 tptp.vnoExp) (not @t116)))) % 34.01/34.29 (assume @p40 (forall (@list @t26 @t115) (=> @t117 @t116))) % 34.01/34.29 (assume @p41 (forall (@list @t115 @t58 @t26) (=> @t117 (=> (= @t58 (tptp.vgetSomeExp @t115)) @t59)))) % 34.01/34.29 (assume @p42 (forall (@list @t28 @t8 @t58) (=> @t33 @t121))) % 34.01/34.29 (assume @p43 (forall (@list @t28 @t27 @t26 @t8 @t58) (=> @t30 @t121))) % 34.01/34.29 (assume @p44 (forall (@list @t34 @t8 @t58 @t28 @t27 @t35 @t122) (=> @t127 (=> (and @t126 @t125) (=> @t120 @t124))))) % 34.01/34.29 (assume @p45 (forall (@list @t27 @t122 @t8 @t58 @t28 @t34 @t35) (=> @t127 (=> (and @t126 @t130 @t129) (=> @t120 @t128))))) % 34.01/34.29 (assume @p46 (forall (@list @t28 @t27 @t35 @t122 @t34 @t8 @t58) (=> @t127 (=> (and @t126 @t130 @t131) @t121)))) % 34.01/34.29 (assume @p47 (forall (@list @t35 @t8 @t58 @t132 @t34) (=> @t140 (=> (and @t135 @t134) (=> @t120 @t133))))) % 34.01/34.29 (assume @p48 (forall (@list @t34 @t35 @t132 @t8 @t58) (=> @t140 (=> (and @t135 @t141) @t121)))) % 34.01/34.29 (assume @p49 (forall (@list @t8 @t58) (=> (= @t119 @t58) (or (exists @t76 (and @t33 @t118)) (exists (@list @t28 @t27 @t26) (and @t30 @t118)) (exists (@list @t34 @t28 @t27 @t35 @t122) (and @t127 @t126 @t125 @t124)) (exists (@list @t27 @t122 @t28 @t34 @t35) (and @t127 @t126 @t130 @t129 @t128)) (exists (@list @t28 @t27 @t35 @t122 @t34) (and @t127 @t126 @t130 @t131 @t118)) (exists (@list @t35 @t132 @t34) (and @t37 @t139 @t135 @t134 @t133)) (exists (@list @t34 @t35 @t132) (and @t37 @t139 @t135 @t141 @t118)))))) % 34.01/34.29 (assume @p50 (forall (@list @t9 @t7 @t143 @t142) (and (=> @t144 @t145) (=> @t145 @t144)))) % 34.01/34.29 (assume @p51 (forall (@list @t69 @t28 @t44) (=> @t146 (tptp.vtcheck @t69 @t32 @t44)))) % 34.01/34.29 (assume @p52 @t150) % 34.01/34.29 (assume @p53 (forall (@list @t27 @t69 @t35 @t34 @t44) (=> @t153 (tptp.vtcheck @t69 @t36 @t44)))) % 34.01/34.29 (assume @p54 @t175) % 34.01/34.29 (assume @p55 (forall @t176 (=> (and (= @t73 tptp.vnoType) @t172) @t149))) % 34.01/34.29 (assume @p56 (forall @t176 (=> (and @t178 @t149) @t172))) % 34.01/34.29 (assume @p57 @t180) % 34.01/34.29 (assume @p58 @t185) % 34.01/34.29 (assume @p59 (forall (@list @t44 @t69 @t28 @t26 @t67 @t27 @t35 @t158) (=> (and @t68 @t172 (tptp.vtcheck @t182 @t186 @t158)) (tptp.vtcheck @t69 (tptp.vsubst @t28 @t26 @t186) @t158)))) % 34.01/34.29 (assume @p60 @t193) % 34.01/34.29 (assume @p61 true) % 34.01/34.29 (step @p62 :rule aci_norm :args ((= (or @t205 @t207) @t206))) % 34.01/34.29 (step @p63 :rule bool-impl-elim :args (@t172 @t207)) % 34.01/34.29 (step @p64 :rule trans :premises (@p63 @p62)) % 34.01/34.29 (step @p65 :rule cong :premises (@p64) :args ((forall @t174 (=> @t172 @t207)))) % 34.01/34.29 (step @p66 :rule aci_norm :args ((= (or @t196 (or @t195 @t194)) @t197))) % 34.01/34.29 (step @p67 :rule bool-and-de-morgan :args (@t152 @t151 true)) % 34.01/34.29 (step @p68 :rule refl :args (@t196)) % 34.01/34.29 (step @p69 :rule nary_cong :premises (@p68 @p67) :args ((or @t196 (not @t153)))) % 34.01/34.29 (step @p70 :rule bool-and-de-morgan :args (@t154 @t152 (and @t151))) % 34.01/34.29 (step @p71 :rule trans :premises (@p70 @p69)) % 34.01/34.29 (step @p72 :rule trans :premises (@p71 @p66)) % 34.01/34.29 (step @p73 :rule cong :premises (@p72) :args (@t208)) % 34.01/34.29 (step @p74 :rule cong :premises (@p73) :args (@t209)) % 34.01/34.29 (step @p75 :rule exists-elim :args ((= @t157 @t209))) % 34.01/34.29 (step @p76 :rule trans :premises (@p75 @p74)) % 34.01/34.29 (step @p77 :rule aci_norm :args ((= (or @t201 (or @t200 @t199)) @t202))) % 34.01/34.29 (step @p78 :rule bool-and-de-morgan :args (@t162 @t160 true)) % 34.01/34.29 (step @p79 :rule refl :args (@t201)) % 34.01/34.29 (step @p80 :rule nary_cong :premises (@p79 @p78) :args ((or @t201 (not (and @t162 @t160))))) % 34.01/34.30 (step @p81 :rule bool-and-de-morgan :args (@t164 @t162 (and @t160))) % 34.01/34.30 (step @p82 :rule trans :premises (@p81 @p80)) % 34.01/34.30 (step @p83 :rule trans :premises (@p82 @p77)) % 34.01/34.30 (step @p84 :rule cong :premises (@p83) :args (@t210)) % 34.01/34.30 (step @p85 :rule cong :premises (@p84) :args (@t211)) % 34.01/34.30 (step @p86 :rule exists-elim :args ((= @t167 @t211))) % 34.01/34.30 (step @p87 :rule trans :premises (@p86 @p85)) % 34.01/34.30 (step @p88 :rule bool-and-de-morgan :args (@t168 @t146 true)) % 34.01/34.30 (step @p89 :rule cong :premises (@p88) :args (@t212)) % 34.01/34.30 (step @p90 :rule cong :premises (@p89) :args (@t213)) % 34.01/34.30 (step @p91 :rule exists-elim :args ((= @t170 @t213))) % 34.01/34.30 (step @p92 :rule trans :premises (@p91 @p90)) % 34.01/34.30 (step @p93 :rule nary_cong :premises (@p92 @p87 @p76) :args (@t171)) % 34.01/34.30 (step @p94 :rule refl :args (@t172)) % 34.01/34.30 (step @p95 :rule cong :premises (@p94 @p93) :args (@t173)) % 34.01/34.30 (step @p96 :rule cong :premises (@p95) :args (@t175)) % 34.01/34.30 (step @p97 :rule trans :premises (@p96 @p65)) % 34.01/34.30 (step @p98 :rule eq_resolve :premises (@p54 @p97)) % 34.01/34.30 (step @p99 :rule refl :args (@t221)) % 34.01/34.30 (step @p100 :rule refl :args (@t223)) % 34.01/34.30 (step @p101 :rule eq-symm :args (@t226 @t36)) % 34.01/34.30 (step @p102 :rule cong :premises (@p101) :args (@t227)) % 34.01/34.30 (step @p103 :rule nary_cong :premises (@p102 @p100 @p99) :args (@t228)) % 34.01/34.30 (step @p104 :rule cong :premises (@p103) :args (@t229)) % 34.01/34.30 (step @p105 :rule cong :premises (@p104) :args (@t230)) % 34.01/34.30 (step @p106 :rule refl :args (@t231)) % 34.01/34.30 (step @p107 :rule eq-symm :args (@t222 @t161)) % 34.01/34.30 (step @p108 :rule cong :premises (@p107) :args (@t232)) % 34.01/34.30 (step @p109 :rule eq-symm :args (@t226 @t163)) % 34.01/34.30 (step @p110 :rule cong :premises (@p109) :args (@t233)) % 34.01/34.30 (step @p111 :rule nary_cong :premises (@p110 @p108 @p106) :args (@t234)) % 34.01/34.30 (step @p112 :rule cong :premises (@p111) :args (@t235)) % 34.01/34.30 (step @p113 :rule cong :premises (@p112) :args (@t236)) % 34.01/34.30 (step @p114 :rule refl :args (@t238)) % 34.01/34.30 (step @p115 :rule eq-symm :args (@t226 @t32)) % 34.01/34.30 (step @p116 :rule cong :premises (@p115) :args (@t239)) % 34.01/34.30 (step @p117 :rule nary_cong :premises (@p116 @p114) :args (@t240)) % 34.01/34.30 (step @p118 :rule cong :premises (@p117) :args (@t241)) % 34.01/34.30 (step @p119 :rule cong :premises (@p118) :args (@t242)) % 34.01/34.30 (step @p120 :rule refl :args (@t244)) % 34.01/34.30 (step @p121 :rule nary_cong :premises (@p120 @p119 @p113 @p105) :args (@t245)) % 34.01/34.30 (step @p122 :rule refl :args (@t246)) % 34.01/34.30 (step @p123 :rule cong :premises (@p122 @p121) :args ((=> @t246 @t245))) % 34.01/34.30 (assume-push @p658 @t246) % 34.01/34.30 (step @p125 :rule instantiate :premises (@p98) :args ((@list @t226 @t222 @t220))) % 34.01/34.30 (step-pop @p659 :rule scope :premises (@p125)) % 34.01/34.30 (step @p126 :rule process_scope :premises (@p659) :args (@t245)) % 34.01/34.30 (step @p128 :rule eq_resolve :premises (@p126 @p123)) % 34.01/34.30 (step @p129 :rule implies_elim :premises (@p128)) % 34.01/34.30 (step @p130 :rule chain_m_resolution :premises (@p129 @p98) :args (@t253 @t254 (@list @t246))) % 34.01/34.30 (step @p131 :rule bool-double-not-elim :args (@t259)) % 34.01/34.30 (step @p132 :rule refl :args (@t267)) % 34.01/34.30 (step @p133 :rule nary_cong :premises (@p132 @p131) :args ((or @t267 (not @t266)))) % 34.01/34.30 (step @p134 :rule cnf_or_neg :args (@t267 0)) % 34.01/34.30 (step @p135 :rule eq_resolve :premises (@p134 @p133)) % 34.01/34.30 (step @p136 :rule reordering :premises (@p135) :args ((or @t259 @t267))) % 34.01/34.30 (step @p137 :rule bool-double-not-elim :args (@t264)) % 34.01/34.30 (step @p138 :rule nary_cong :premises (@p132 @p137) :args ((or @t267 (not @t265)))) % 34.01/34.30 (step @p139 :rule cnf_or_neg :args (@t267 1)) % 34.01/34.30 (step @p140 :rule eq_resolve :premises (@p139 @p138)) % 34.01/34.30 (step @p141 :rule reordering :premises (@p140) :args ((or @t264 @t267))) % 34.01/34.30 (step @p142 :rule bool-double-not-elim :args (@t261)) % 34.01/34.30 (step @p143 :rule nary_cong :premises (@p132 @p142) :args ((or @t267 (not @t262)))) % 34.01/34.30 (step @p144 :rule cnf_or_neg :args (@t267 2)) % 34.01/34.30 (step @p145 :rule eq_resolve :premises (@p144 @p143)) % 34.01/34.30 (step @p146 :rule reordering :premises (@p145) :args ((or @t261 @t267))) % 34.01/34.30 (step @p147 :rule aci_norm :args ((= (and @t274 true) @t274))) % 34.01/34.30 (step @p148 :rule quant-unused-vars :args ((= (forall @t278 true) true))) % 34.01/34.30 (step @p149 :rule evaluate :args ((or false true))) % 34.01/34.30 (step @p150 :rule eq-refl :args (@t279)) % 34.01/34.30 (step @p151 :rule evaluate :args ((not true))) % 34.01/34.30 (step @p152 :rule eq-refl :args (@t275)) % 34.01/34.30 (step @p153 :rule cong :premises (@p152) :args (@t280)) % 34.01/34.30 (step @p154 :rule trans :premises (@p153 @p151)) % 34.01/34.30 (step @p155 :rule nary_cong :premises (@p154 @p150) :args (@t281)) % 34.01/34.30 (step @p156 :rule trans :premises (@p155 @p149)) % 34.01/34.30 (step @p157 :rule cong :premises (@p156) :args ((forall @t278 @t281))) % 34.01/34.30 (step @p158 :rule trans :premises (@p157 @p148)) % 34.01/34.30 (step @p159 :rule quant-var-elim-eq :args ((= (forall @t286 @t285) @t281))) % 34.01/34.30 (step @p160 :rule aci_norm :args ((= @t287 @t285))) % 34.01/34.30 (step @p161 :rule cong :premises (@p160) :args (@t288)) % 34.01/34.30 (step @p162 :rule trans :premises (@p161 @p159)) % 34.01/34.30 (step @p163 :rule cong :premises (@p162) :args (@t289)) % 34.01/34.30 (step @p164 :rule quant-merge-prenex :args ((= @t289 @t290))) % 34.01/34.30 (step @p165 :rule symm :premises (@p164)) % 34.01/34.30 (step @p166 :rule quant_var_reordering :args ((= (forall @t291 @t287) @t290))) % 34.01/34.30 (step @p167 :rule trans :premises (@p166 @p165 @p163)) % 34.01/34.30 (step @p168 :rule trans :premises (@p167 @p158)) % 34.01/34.30 (step @p169 :rule aci_norm :args ((= (or false @t284 @t283) @t287))) % 34.01/34.30 (step @p170 :rule refl :args (@t283)) % 34.01/34.30 (step @p171 :rule refl :args (@t284)) % 34.01/34.30 (step @p172 :rule eq-refl :args (@t276)) % 34.01/34.30 (step @p173 :rule cong :premises (@p172) :args (@t292)) % 34.01/34.30 (step @p174 :rule trans :premises (@p173 @p151)) % 34.01/34.30 (step @p175 :rule nary_cong :premises (@p174 @p171 @p170) :args (@t293)) % 34.01/34.30 (step @p176 :rule trans :premises (@p175 @p169)) % 34.01/34.30 (step @p177 :rule cong :premises (@p176) :args ((forall @t291 @t293))) % 34.01/34.30 (step @p178 :rule trans :premises (@p177 @p168)) % 34.01/34.30 (step @p179 :rule quant-var-elim-eq :args ((= (forall @t299 @t298) @t293))) % 34.01/34.30 (step @p180 :rule aci_norm :args ((= @t300 @t298))) % 34.01/34.30 (step @p181 :rule cong :premises (@p180) :args (@t301)) % 34.01/34.30 (step @p182 :rule trans :premises (@p181 @p179)) % 34.01/34.30 (step @p183 :rule cong :premises (@p182) :args (@t302)) % 34.01/34.30 (step @p184 :rule quant-merge-prenex :args ((= @t302 @t303))) % 34.01/34.30 (step @p185 :rule symm :premises (@p184)) % 34.01/34.30 (step @p186 :rule quant_var_reordering :args ((= (forall @t304 @t300) @t303))) % 34.01/34.30 (step @p187 :rule trans :premises (@p186 @p185 @p183)) % 34.01/34.30 (step @p188 :rule trans :premises (@p187 @p178)) % 34.01/34.30 (step @p189 :rule aci_norm :args ((= (or false @t297 @t284 @t296) @t300))) % 34.01/34.30 (step @p190 :rule eq-symm :args (@t295 @t279)) % 34.01/34.30 (step @p191 :rule refl :args (@t297)) % 34.01/34.30 (step @p192 :rule eq-refl :args (@t277)) % 34.01/34.30 (step @p193 :rule cong :premises (@p192) :args (@t305)) % 34.01/34.30 (step @p194 :rule trans :premises (@p193 @p151)) % 34.01/34.30 (step @p195 :rule nary_cong :premises (@p194 @p191 @p171 @p190) :args (@t306)) % 34.01/34.30 (step @p196 :rule trans :premises (@p195 @p189)) % 34.01/34.30 (step @p197 :rule cong :premises (@p196) :args ((forall @t304 @t306))) % 34.01/34.30 (step @p198 :rule trans :premises (@p197 @p188)) % 34.01/34.30 (step @p199 :rule quant-var-elim-eq :args ((= (forall @t311 @t310) @t306))) % 34.01/34.30 (step @p200 :rule aci_norm :args ((= @t312 @t310))) % 34.01/34.30 (step @p201 :rule cong :premises (@p200) :args (@t313)) % 34.01/34.30 (step @p202 :rule trans :premises (@p201 @p199)) % 34.01/34.30 (step @p203 :rule cong :premises (@p202) :args (@t314)) % 34.01/34.30 (step @p204 :rule quant-merge-prenex :args ((= @t314 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34.01/34.30 (step-pop @p669 :rule scope :premises (@p413)) % 34.01/34.30 (step @p414 :rule process_scope :premises (@p669) :args (@t400)) % 34.01/34.30 (step @p416 :rule eq_resolve :premises (@p414 @p411)) % 34.01/34.30 (step @p417 :rule implies_elim :premises (@p416)) % 34.01/34.30 (step @p418 :rule chain_m_resolution :premises (@p417 @p405) :args (@t403 @t254 (@list @t401))) % 34.01/34.30 (step @p419 :rule cnf_or_neg :args (@t343 1)) % 34.01/34.30 (step @p420 :rule chain_m_resolution :premises (@p419 @p271) :args ((not @t341) @t345 @t346)) % 34.01/34.30 (step @p421 :rule cnf_or_pos :args (@t403)) % 34.01/34.30 (step @p422 :rule reordering :premises (@p421) :args ((or @t342 @t341 @t402 (not @t403)))) % 34.01/34.30 (step @p423 :rule chain_m_resolution :premises (@p422 @p273 @p420 @p418) :args (@t402 (@list true true false) (@list @t342 @t341 @t403))) % 34.01/34.30 (step @p424 :rule refl :args (@t406)) % 34.01/34.30 (step @p425 :rule refl :args (@t407)) % 34.01/34.30 (step @p426 :rule refl :args (@t265)) % 34.01/34.30 (step @p427 :rule refl :args (@t408)) % 34.01/34.30 (step @p428 :rule bool-double-not-elim :args (@t338)) % 34.01/34.30 (step @p429 :rule nary_cong :premises (@p428 @p427 @p426 @p425 @p424) :args ((or (not @t351) @t408 @t265 @t407 @t406))) % 34.01/34.30 (assume-push @p670 @t351) % 34.01/34.30 (assume-push @p671 @t402) % 34.01/34.30 (assume-push @p672 @t264) % 34.01/34.30 (assume-push @p673 @t328) % 34.01/34.30 (assume-push @p674 @t351) % 34.01/34.30 (assume-push @p675 @t402) % 34.01/34.30 (assume-push @p676 @t264) % 34.01/34.30 (assume-push @p677 @t328) % 34.01/34.30 (step @p438 :rule false_intro :premises (@p301)) % 34.01/34.30 (step @p439 :rule symm :premises (@p672)) % 34.01/34.30 (step @p440 :rule refl :args (@t260)) % 34.01/34.30 (step @p441 :rule cong :premises (@p673 @p440) :args (@t404)) % 34.01/34.30 (step @p442 :rule trans :premises (@p441 @p439)) % 34.01/34.30 (step @p443 :rule symm :premises (@p423)) % 34.01/34.30 (step @p444 :rule refl :args (@t217)) % 34.01/34.30 (step @p445 :rule cong :premises (@p444 @p443 @p442) :args (@t405)) % 34.01/34.30 (step @p446 :rule trans :premises (@p445 @p438)) % 34.01/34.30 (step @p447 :rule false_elim :premises (@p446)) % 34.01/34.30 (step-pop @p678 :rule scope :premises (@p447)) % 34.01/34.30 (step-pop @p679 :rule scope :premises (@p678)) % 34.01/34.30 (step-pop @p680 :rule scope :premises (@p679)) % 34.01/34.30 (step-pop @p681 :rule scope :premises (@p680)) % 34.01/34.30 (step @p448 :rule process_scope :premises (@p681) :args (@t406)) % 34.01/34.30 (step @p453 :rule and_intro :premises (@p301 @p423 @p672 @p673)) % 34.01/34.30 (step @p454 :rule modus_ponens :premises (@p453 @p448)) % 34.01/34.30 (step-pop @p682 :rule scope :premises (@p454)) % 34.01/34.30 (step-pop @p683 :rule scope :premises (@p682)) % 34.01/34.30 (step-pop @p684 :rule scope :premises (@p683)) % 34.01/34.30 (step-pop @p685 :rule scope :premises (@p684)) % 34.01/34.30 (step @p455 :rule process_scope :premises (@p685) :args (@t406)) % 34.01/34.30 (step @p460 :rule implies_elim :premises (@p455)) % 34.01/34.30 (step @p461 :rule cnf_and_neg :args (@t409)) % 34.01/34.30 (step @p462 :rule resolution :premises (@p461 @p460) :args (true @t409)) % 34.01/34.30 (step @p463 :rule eq_resolve :premises (@p462 @p429)) % 34.01/34.30 (step @p464 :rule aci_norm :args ((= (or (or @t68 @t410) @t81) @t411))) % 34.01/34.30 (step @p465 :rule refl :args (@t81)) % 34.01/34.30 (step @p466 :rule refl :args (@t410)) % 34.01/34.30 (step @p467 :rule nary_cong :premises (@p250 @p466) :args ((or @t334 @t410))) % 34.01/34.30 (step @p468 :rule bool-and-de-morgan :args (@t75 @t79 true)) % 34.01/34.30 (step @p469 :rule trans :premises (@p468 @p467)) % 34.01/34.30 (step @p470 :rule nary_cong :premises (@p469 @p465) :args ((or (not @t82) @t81))) % 34.01/34.30 (step @p471 :rule trans :premises (@p470 @p464)) % 34.01/34.30 (step @p472 :rule bool-impl-elim :args (@t82 @t81)) % 34.01/34.30 (step @p473 :rule trans :premises (@p472 @p471)) % 34.01/34.30 (step @p474 :rule cong :premises (@p473) :args (@t83)) % 34.01/34.30 (step @p475 :rule eq_resolve :premises (@p27 @p474)) % 34.01/34.30 (step @p476 :rule refl :args (@t412)) % 34.01/34.30 (step @p477 :rule refl :args (@t262)) % 34.01/34.30 (step @p478 :rule eq-symm :args (@t257 @t219)) % 34.01/34.30 (step @p479 :rule nary_cong :premises (@p478 @p477 @p476) :args (@t413)) % 34.01/34.30 (step @p480 :rule refl :args (@t414)) % 34.01/34.30 (step @p481 :rule cong :premises (@p480 @p479) :args ((=> @t414 @t413))) % 34.01/34.30 (assume-push @p686 @t414) % 34.01/34.30 (step @p483 :rule instantiate :premises (@p475) :args ((@list @t219 @t218 @t257 @t256 @t217 @t255 @t260))) % 34.01/34.30 (step-pop @p687 :rule scope :premises (@p483)) % 34.01/34.30 (step @p484 :rule process_scope :premises (@p687) :args (@t413)) % 34.01/34.30 (step @p486 :rule eq_resolve :premises (@p484 @p481)) % 34.01/34.30 (step @p487 :rule implies_elim :premises (@p486)) % 34.01/34.30 (step @p488 :rule chain_m_resolution :premises (@p487 @p475) :args (@t415 @t254 (@list @t414))) % 34.01/34.30 (step @p489 :rule cnf_or_pos :args (@t415)) % 34.01/34.30 (step @p490 :rule reordering :premises (@p489) :args ((or @t262 @t347 @t412 (not @t415)))) % 34.01/34.30 (step @p491 :rule bool-impl-elim :args (@t149 @t148)) % 34.01/34.30 (step @p492 :rule cong :premises (@p491) :args (@t150)) % 34.01/34.30 (step @p493 :rule eq_resolve :premises (@p52 @p492)) % 34.01/34.30 (step @p494 :rule instantiate :premises (@p493) :args ((@list @t217 @t225 @t398 @t224 @t260))) % 34.01/34.30 (step @p495 :rule cnf_or_pos :args (@t419)) % 34.01/34.30 (step @p496 :rule reordering :premises (@p495) :args ((or @t418 @t405 (not @t419)))) % 0.38/34.30 (step @p497 :rule aci_norm :args ((= (or (or @t177 @t205) @t149) (or @t177 @t205 @t149)))) % 0.38/34.30 (step @p498 :rule refl :args (@t149)) % 0.38/34.30 (step @p499 :rule bool-double-not-elim :args (@t177)) % 0.38/34.30 (step @p500 :rule nary_cong :premises (@p499 @p248) :args ((or (not @t178) @t205))) % 0.38/34.30 (step @p501 :rule bool-and-de-morgan :args (@t178 @t172 true)) % 0.38/34.30 (step @p502 :rule trans :premises (@p501 @p500)) % 0.38/34.30 (step @p503 :rule nary_cong :premises (@p502 @p498) :args ((or (not @t179) @t149))) % 0.38/34.30 (step @p504 :rule trans :premises (@p503 @p497)) % 0.38/34.30 (step @p505 :rule bool-impl-elim :args (@t179 @t149)) % 0.38/34.30 (step @p506 :rule trans :premises (@p505 @p504)) % 0.38/34.30 (step @p507 :rule cong :premises (@p506) :args (@t180)) % 0.38/34.30 (step @p508 :rule eq_resolve :premises (@p57 @p507)) % 0.38/34.30 (step @p509 :rule instantiate :premises (@p508) :args ((@list @t225 @t224 @t217 @t336 @t218))) % 0.38/34.30 (step @p510 :rule bool-double-not-elim :args (@t339)) % 0.38/34.30 (step @p511 :rule refl :args (@t343)) % 0.38/34.30 (step @p512 :rule nary_cong :premises (@p511 @p510) :args ((or @t343 (not @t340)))) % 0.38/34.30 (step @p513 :rule cnf_or_neg :args (@t343 2)) % 0.38/34.30 (step @p514 :rule eq_resolve :premises (@p513 @p512)) % 0.38/34.30 (step @p515 :rule reordering :premises (@p514) :args ((or @t339 @t343))) % 0.38/34.30 (step @p516 :rule chain_m_resolution :premises (@p515 @p271) :args (@t339 @t345 @t346)) % 0.38/34.30 (step @p517 :rule cnf_or_pos :args (@t421)) % 0.38/34.30 (step @p518 :rule reordering :premises (@p517) :args ((or @t341 @t340 @t420 (not @t421)))) % 0.38/34.30 (step @p519 :rule chain_m_resolution :premises (@p518 @p420 @p516 @p509) :args (@t420 (@list true false false) (@list @t341 @t339 @t421))) % 0.38/34.30 (step @p520 :rule aci_norm :args ((= (or (or @t205 @t422) @t181) (or @t205 @t422 @t181)))) % 0.38/34.30 (step @p521 :rule refl :args (@t181)) % 0.38/34.30 (step @p522 :rule bool-and-de-morgan :args (@t172 @t183 true)) % 0.38/34.30 (step @p523 :rule nary_cong :premises (@p522 @p521) :args ((or (not @t184) @t181))) % 0.38/34.30 (step @p524 :rule trans :premises (@p523 @p520)) % 0.38/34.30 (step @p525 :rule bool-impl-elim :args (@t184 @t181)) % 0.38/34.30 (step @p526 :rule trans :premises (@p525 @p524)) % 0.38/34.30 (step @p527 :rule cong :premises (@p526) :args (@t185)) % 0.38/34.30 (step @p528 :rule eq_resolve :premises (@p58 @p527)) % 0.38/34.30 (step @p529 :rule instantiate :premises (@p528) :args ((@list @t218 @t416 @t219 @t336 @t260))) % 0.38/34.30 (step @p530 :rule cnf_or_pos :args (@t427)) % 0.38/34.30 (step @p531 :rule reordering :premises (@p530) :args ((or @t417 @t426 @t425 (not @t427)))) % 0.38/34.30 (assume-push @p688 @t329) % 0.38/34.30 (assume-push @p689 @t328) % 0.38/34.30 (assume-push @p690 @t327) % 0.38/34.30 (assume-push @p691 @t412) % 0.38/34.30 (assume-push @p692 @t412) % 0.38/34.30 (assume-push @p693 @t329) % 0.38/34.30 (assume-push @p694 @t328) % 0.38/34.30 (assume-push @p695 @t327) % 0.38/34.30 (step @p540 :rule true_intro :premises (@p691)) % 0.38/34.30 (step @p440 :rule refl :args (@t260)) % 0.38/34.30 (step @p444 :rule refl :args (@t217)) % 0.38/34.30 (step @p541 :rule cong :premises (@p688 @p689 @p444) :args (@t416)) % 0.38/34.30 (step @p542 :rule refl :args (@t218)) % 0.38/34.30 (step @p284 :rule refl :args (@t219)) % 0.38/34.30 (step @p543 :rule cong :premises (@p284 @p542 @p541) :args (@t423)) % 0.38/34.30 (step @p544 :rule cong :premises (@p543 @p690 @p440) :args (@t424)) % 0.38/34.30 (step @p545 :rule trans :premises (@p544 @p540)) % 0.38/34.30 (step @p546 :rule true_elim :premises (@p545)) % 0.38/34.30 (step-pop @p696 :rule scope :premises (@p546)) % 0.38/34.30 (step-pop @p697 :rule scope :premises (@p696)) % 0.38/34.30 (step-pop @p698 :rule scope :premises (@p697)) % 0.38/34.30 (step-pop @p699 :rule scope :premises (@p698)) % 0.38/34.30 (step @p547 :rule process_scope :premises (@p699) :args (@t424)) % 0.38/34.30 (step @p552 :rule and_intro :premises (@p691 @p688 @p689 @p690)) % 0.38/34.30 (step @p553 :rule modus_ponens :premises (@p552 @p547)) % 0.38/34.30 (step-pop @p700 :rule scope :premises (@p553)) % 0.38/34.30 (step-pop @p701 :rule scope :premises (@p700)) % 0.38/34.30 (step-pop @p702 :rule scope :premises (@p701)) % 0.38/34.30 (step-pop @p703 :rule scope :premises (@p702)) % 0.38/34.30 (step @p554 :rule process_scope :premises (@p703) :args (@t424)) % 0.38/34.30 (step @p559 :rule implies_elim :premises (@p554)) % 0.38/34.30 (step @p560 :rule cnf_and_neg :args (@t428)) % 0.38/34.30 (step @p561 :rule resolution :premises (@p560 @p559) :args (true @t428)) % 0.38/34.30 (step @p562 :rule chain_m_resolution :premises (@p561 @p531 @p529 @p519 @p496 @p494 @p490 @p488 @p463 @p423 @p301 @p299 @p273 @p244 @p242 @p240 @p238 @p236 @p146 @p141 @p136) :args (@t267 (@list true false false true false false false true false true true true false false false false false false false false) (@list @t424 @t427 @t420 @t417 @t419 @t412 @t415 @t405 @t402 @t338 @t347 @t342 @t327 @t328 @t329 @t330 @t331 @t261 @t264 @t259))) % 0.38/34.30 (step @p563 :rule refl :args (@t429)) % 0.38/34.30 (step @p564 :rule bool-double-not-elim :args (@t249)) % 0.38/34.30 (step @p565 :rule nary_cong :premises (@p564 @p563) :args ((or (not @t250) @t429))) % 0.38/34.30 (step @p566 :rule eq-symm :args (@t263 @t222)) % 0.38/34.30 (step @p567 :rule cong :premises (@p566) :args (@t430)) % 0.38/34.30 (step @p568 :rule eq-symm :args (@t258 @t226)) % 0.38/34.30 (step @p569 :rule cong :premises (@p568) :args (@t431)) % 0.38/34.30 (step @p570 :rule nary_cong :premises (@p569 @p567 @p477) :args (@t432)) % 0.38/34.30 (step @p571 :rule cong :premises (@p570) :args (@t433)) % 0.38/34.30 (step @p572 :rule refl :args (@t250)) % 0.38/34.30 (step @p573 :rule cong :premises (@p572 @p571) :args ((=> @t250 @t433))) % 0.38/34.30 (assume-push @p704 @t250) % 0.38/34.30 (step @p575 :rule skolemize :premises (@p704)) % 0.38/34.30 (step-pop @p705 :rule scope :premises (@p575)) % 0.38/34.30 (step @p576 :rule process_scope :premises (@p705) :args (@t433)) % 0.38/34.30 (step @p578 :rule eq_resolve :premises (@p576 @p573)) % 0.38/34.30 (step @p579 :rule implies_elim :premises (@p578)) % 0.38/34.30 (step @p580 :rule eq_resolve :premises (@p579 @p565)) % 0.38/34.30 (step @p581 :rule chain_m_resolution :premises (@p580 @p562) :args (@t249 @t254 (@list @t267))) % 0.38/34.30 (step @p582 :rule eq-symm :args (@t435 @t226)) % 0.38/34.30 (step @p583 :rule cong :premises (@p582) :args (@t436)) % 0.38/34.30 (step @p584 :rule refl :args (@t23)) % 0.38/34.30 (step @p585 :rule cong :premises (@p584 @p583) :args ((=> @t23 @t436))) % 0.38/34.30 (assume-push @p706 @t23) % 0.38/34.30 (step @p587 :rule instantiate :premises (@p4) :args ((@list @t434 @t225 @t224 tptp.veabs))) % 0.38/34.30 (step-pop @p707 :rule scope :premises (@p587)) % 0.38/34.30 (step @p588 :rule process_scope :premises (@p707) :args (@t436)) % 0.38/34.30 (step @p590 :rule eq_resolve :premises (@p588 @p585)) % 0.38/34.30 (step @p591 :rule implies_elim :premises (@p590)) % 0.38/34.30 (step @p592 :rule chain_m_resolution :premises (@p591 @p4) :args (@t438 @t254 (@list @t23))) % 0.38/34.30 (step @p593 :rule bool-double-not-elim :args (@t437)) % 0.38/34.30 (step @p594 :rule refl :args (@t440)) % 0.38/34.30 (step @p595 :rule nary_cong :premises (@p594 @p593) :args ((or @t440 (not @t438)))) % 0.38/34.30 (step @p596 :rule cnf_or_neg :args (@t440 0)) % 0.38/34.30 (step @p597 :rule eq_resolve :premises (@p596 @p595)) % 0.38/34.30 (step @p598 :rule reordering :premises (@p597) :args ((or @t437 @t440))) % 0.38/34.30 (step @p599 :rule chain_m_resolution :premises (@p598 @p592) :args (@t440 @t345 (@list @t437))) % 0.38/34.30 (step @p600 :rule refl :args (@t441)) % 0.38/34.30 (step @p601 :rule bool-double-not-elim :args (@t251)) % 0.38/34.30 (step @p602 :rule nary_cong :premises (@p601 @p600) :args ((or (not @t252) @t441))) % 0.38/34.30 (step @p603 :rule eq-symm :args (@t439 @t237)) % 0.38/34.30 (step @p604 :rule cong :premises (@p603) :args (@t442)) % 0.38/34.30 (step @p605 :rule nary_cong :premises (@p583 @p604) :args (@t443)) % 0.38/34.30 (step @p606 :rule cong :premises (@p605) :args (@t444)) % 0.38/34.30 (step @p607 :rule refl :args (@t252)) % 0.38/34.30 (step @p608 :rule cong :premises (@p607 @p606) :args ((=> @t252 @t444))) % 0.38/34.30 (assume-push @p708 @t252) % 0.38/34.30 (step @p610 :rule skolemize :premises (@p708)) % 0.38/34.30 (step-pop @p709 :rule scope :premises (@p610)) % 0.38/34.30 (step @p611 :rule process_scope :premises (@p709) :args (@t444)) % 0.38/34.30 (step @p613 :rule eq_resolve :premises (@p611 @p608)) % 0.38/34.30 (step @p614 :rule implies_elim :premises (@p613)) % 0.38/34.30 (step @p615 :rule eq_resolve :premises (@p614 @p602)) % 0.38/34.30 (step @p616 :rule chain_m_resolution :premises (@p615 @p599) :args (@t251 @t254 (@list @t440))) % 0.38/34.30 (step @p617 :rule bool-double-not-elim :args (@t243)) % 0.38/34.30 (step @p618 :rule nary_cong :premises (@p511 @p617) :args ((or @t343 (not @t244)))) % 0.38/34.30 (step @p619 :rule cnf_or_neg :args (@t343 3)) % 0.38/34.30 (step @p620 :rule eq_resolve :premises (@p619 @p618)) % 0.38/34.30 (step @p621 :rule reordering :premises (@p620) :args ((or @t243 @t343))) % 0.38/34.30 (step @p622 :rule chain_m_resolution :premises (@p621 @p271) :args (@t243 @t345 @t346)) % 0.38/34.30 (step @p623 :rule cnf_or_pos :args (@t253)) % 0.38/34.30 (step @p624 :rule reordering :premises (@p623) :args ((or @t244 @t252 @t250 @t248 (not @t253)))) % 0.38/34.30 (step @p625 :rule chain_m_resolution :premises (@p624 @p622 @p616 @p581 @p130) :args (@t248 (@list false false false false) (@list @t243 @t251 @t249 @t253))) % 0.38/34.30 (step @p626 :rule refl :args (@t454)) % 0.38/34.30 (step @p627 :rule bool-double-not-elim :args (@t247)) % 0.38/34.30 (step @p628 :rule nary_cong :premises (@p627 @p626) :args ((or (not @t248) @t454))) % 0.38/34.30 (step @p629 :rule refl :args (@t447)) % 0.38/34.30 (step @p630 :rule refl :args (@t449)) % 0.38/34.30 (step @p631 :rule eq-symm :args (@t450 @t226)) % 0.38/34.30 (step @p632 :rule cong :premises (@p631) :args (@t455)) % 0.38/34.30 (step @p633 :rule nary_cong :premises (@p632 @p630 @p629) :args (@t456)) % 0.38/34.30 (step @p634 :rule cong :premises (@p633) :args (@t457)) % 0.38/34.30 (step @p635 :rule refl :args (@t248)) % 0.38/34.30 (step @p636 :rule cong :premises (@p635 @p634) :args ((=> @t248 @t457))) % 0.38/34.30 (assume-push @p710 @t248) % 0.38/34.30 (step @p638 :rule skolemize :premises (@p710)) % 0.38/34.30 (step-pop @p711 :rule scope :premises (@p638)) % 0.38/34.30 (step @p639 :rule process_scope :premises (@p711) :args (@t457)) % 0.38/34.30 (step @p641 :rule eq_resolve :premises (@p639 @p636)) % 0.38/34.30 (step @p642 :rule implies_elim :premises (@p641)) % 0.38/34.30 (step @p643 :rule eq_resolve :premises (@p642 @p628)) % 0.38/34.30 (step @p644 :rule chain_m_resolution :premises (@p643 @p625) :args (@t454 @t345 (@list @t247))) % 0.38/34.30 (step @p645 :rule bool-double-not-elim :args (@t451)) % 0.38/34.30 (step @p646 :rule refl :args (@t453)) % 0.38/34.30 (step @p647 :rule nary_cong :premises (@p646 @p645) :args ((or @t453 (not @t452)))) % 0.38/34.30 (step @p648 :rule cnf_or_neg :args (@t453 0)) % 0.38/34.30 (step @p649 :rule eq_resolve :premises (@p648 @p647)) % 0.38/34.30 (step @p650 :rule reordering :premises (@p649) :args ((or @t451 @t453))) % 0.38/34.30 (step @p651 :rule chain_m_resolution :premises (@p650 @p644) :args (@t451 @t345 (@list @t453))) % 0.38/34.30 (assume-push @p712 @t24) % 0.38/34.30 (step @p653 :rule instantiate :premises (@p6) :args ((@list @t225 @t224 tptp.veabs @t448 @t446))) % 0.38/34.30 (step-pop @p713 :rule scope :premises (@p653)) % 0.38/34.30 (step @p654 :rule process_scope :premises (@p713) :args (@t452)) % 0.38/34.30 (step @p656 :rule implies_elim :premises (@p654)) % 0.38/34.30 (step @p657 false :rule chain_m_resolution :premises (@p656 @p651 @p6) :args (false (@list false false) (@list @t451 @t24))) % 0.38/34.30 ) % 0.38/34.30 % SZS output end Proof % 0.38/34.30 % cvc5 exiting %------------------------------------------------------------------------------