%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : COM134+1 : TPTP v9.2.1. Released v6.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n015.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 34.22s 34.47s % Output : Proof 34.22s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : COM134+1 : TPTP v9.2.1. Released v6.4.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n015.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Mon Jun 1 20:30:49 EDT 2026 % 0.16/0.35 % CPUTime : % 0.33/0.52 %----Proving TF0_NAR, FOF, or CNF % 34.22/34.47 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 34.22/34.47 --- Run --no-e-matching --full-saturate-quant at 6... % 34.22/34.47 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 34.22/34.47 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 34.22/34.47 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 34.22/34.47 % SZS status Theorem % 34.22/34.47 % SZS output start Proof % 34.22/34.47 ( % 34.22/34.47 (declare-sort $$unsorted 0) % 34.22/34.47 (declare-const tptp.ve1 $$unsorted) % 34.22/34.47 (declare-const tptp.varrow (-> $$unsorted $$unsorted $$unsorted)) % 34.22/34.47 (declare-const tptp.vgetSomeExp (-> $$unsorted $$unsorted)) % 34.22/34.47 (declare-const tptp.vsomeExp (-> $$unsorted $$unsorted)) % 34.22/34.47 (declare-const tptp.vnoExp $$unsorted) % 34.22/34.47 (declare-const tptp.vsubst (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.22/34.47 (declare-const tptp.vgensym (-> $$unsorted $$unsorted)) % 34.22/34.47 (declare-const tptp.ve2 $$unsorted) % 34.22/34.47 (declare-const tptp.vapp (-> $$unsorted $$unsorted $$unsorted)) % 34.22/34.47 (declare-const tptp.visValue (-> $$unsorted Bool)) % 34.22/34.47 (declare-const tptp.vempty $$unsorted) % 34.22/34.47 (declare-const tptp.vbind (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.22/34.47 (declare-const tptp.vnoType $$unsorted) % 34.22/34.47 (declare-const tptp.visFreeVar (-> $$unsorted $$unsorted Bool)) % 34.22/34.47 (declare-const tptp.vtcheck (-> $$unsorted $$unsorted $$unsorted Bool)) % 34.22/34.47 (declare-const tptp.vsomeType (-> $$unsorted $$unsorted)) % 34.22/34.47 (declare-const tptp.visSomeExp (-> $$unsorted Bool)) % 34.22/34.47 (declare-const tptp.vvar (-> $$unsorted $$unsorted)) % 34.22/34.47 (declare-const tptp.vlookup (-> $$unsorted $$unsorted $$unsorted)) % 34.22/34.47 (declare-const tptp.vabs (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.22/34.47 (declare-const tptp.visSomeType (-> $$unsorted Bool)) % 34.22/34.47 (declare-const tptp.vreduce (-> $$unsorted $$unsorted)) % 34.22/34.47 (declare-const tptp.vgetSomeType (-> $$unsorted $$unsorted)) % 34.22/34.47 (define @t1 () (@var "VVar1" $$unsorted)) % 34.22/34.47 (define @t2 () (@var "VVar0" $$unsorted)) % 34.22/34.47 (define @t3 () (tptp.vvar @t2)) % 34.22/34.47 (define @t4 () (= @t3 (tptp.vvar @t1))) % 34.22/34.47 (define @t5 () (= @t2 @t1)) % 34.22/34.47 (define @t6 () (@var "VExp1" $$unsorted)) % 34.22/34.47 (define @t7 () (@var "VTyp1" $$unsorted)) % 34.22/34.47 (define @t8 () (@var "VExp0" $$unsorted)) % 34.22/34.47 (define @t9 () (@var "VTyp0" $$unsorted)) % 34.22/34.47 (define @t10 () (tptp.vabs @t2 @t9 @t8)) % 34.22/34.47 (define @t11 () (= @t10 (tptp.vabs @t1 @t7 @t6))) % 34.22/34.47 (define @t12 () (= @t8 @t6)) % 34.22/34.47 (define @t13 () (= @t9 @t7)) % 34.22/34.47 (define @t14 () (and @t5 @t13 @t12)) % 34.22/34.47 (define @t15 () (@var "VExp3" $$unsorted)) % 34.22/34.47 (define @t16 () (@var "VExp2" $$unsorted)) % 34.22/34.47 (define @t17 () (tptp.vapp @t8 @t6)) % 34.22/34.47 (define @t18 () (= @t17 (tptp.vapp @t16 @t15))) % 34.22/34.47 (define @t19 () (= @t6 @t15)) % 34.22/34.47 (define @t20 () (= @t8 @t16)) % 34.22/34.47 (define @t21 () (and @t20 @t19)) % 34.22/34.47 (define @t22 () (and (=> @t18 @t21) (=> @t21 @t18))) % 34.22/34.47 (define @t23 () (@list @t8 @t6 @t16 @t15)) % 34.22/34.47 (define @t24 () (forall @t23 @t22)) % 34.22/34.47 (define @t25 () (forall (@list @t2 @t8 @t6) (not (= @t3 @t17)))) % 34.22/34.47 (define @t26 () (forall (@list @t2 @t9 @t8 @t6 @t16) (not (= @t10 (tptp.vapp @t6 @t16))))) % 34.22/34.47 (define @t27 () (tptp.visValue @t8)) % 34.22/34.47 (define @t28 () (@var "Ve" $$unsorted)) % 34.22/34.47 (define @t29 () (@var "VS" $$unsorted)) % 34.22/34.47 (define @t30 () (@var "Vx" $$unsorted)) % 34.22/34.47 (define @t31 () (tptp.vabs @t30 @t29 @t28)) % 34.22/34.47 (define @t32 () (= @t8 @t31)) % 34.22/34.47 (define @t33 () (not @t27)) % 34.22/34.47 (define @t34 () (tptp.vvar @t30)) % 34.22/34.47 (define @t35 () (= @t8 @t34)) % 34.22/34.47 (define @t36 () (@var "Ve2" $$unsorted)) % 34.22/34.47 (define @t37 () (@var "Ve1" $$unsorted)) % 34.22/34.47 (define @t38 () (tptp.vapp @t37 @t36)) % 34.22/34.47 (define @t39 () (= @t8 @t38)) % 34.22/34.47 (define @t40 () (@var "Vv" $$unsorted)) % 34.22/34.47 (define @t41 () (= @t30 @t40)) % 34.22/34.47 (define @t42 () (tptp.visFreeVar @t2 @t8)) % 34.22/34.47 (define @t43 () (= @t2 @t40)) % 34.22/34.47 (define @t44 () (tptp.visFreeVar @t40 @t28)) % 34.22/34.47 (define @t45 () (and (not @t41) @t44)) % 34.22/34.47 (define @t46 () (@var "VT" $$unsorted)) % 34.22/34.47 (define @t47 () (or (tptp.visFreeVar @t40 @t37) (tptp.visFreeVar @t40 @t36))) % 34.22/34.47 (define @t48 () (= tptp.vempty tptp.vempty)) % 34.22/34.47 (define @t49 () (@var "VCtx1" $$unsorted)) % 34.22/34.47 (define @t50 () (@var "VCtx0" $$unsorted)) % 34.22/34.47 (define @t51 () (tptp.vbind @t2 @t9 @t50)) % 34.22/34.47 (define @t52 () (= @t51 (tptp.vbind @t1 @t7 @t49))) % 34.22/34.47 (define @t53 () (and @t5 @t13 (= @t50 @t49))) % 34.22/34.47 (define @t54 () (= tptp.vnoType tptp.vnoType)) % 34.22/34.47 (define @t55 () (tptp.vsomeType @t9)) % 34.22/34.47 (define @t56 () (= @t55 (tptp.vsomeType @t7))) % 34.22/34.47 (define @t57 () (@var "VOptTyp0" $$unsorted)) % 34.22/34.47 (define @t58 () (tptp.visSomeType @t57)) % 34.22/34.47 (define @t59 () (= @t57 (tptp.vsomeType @t28))) % 34.22/34.47 (define @t60 () (@var "RESULT" $$unsorted)) % 34.22/34.47 (define @t61 () (= @t60 @t28)) % 34.22/34.47 (define @t62 () (= @t60 tptp.vnoType)) % 34.22/34.47 (define @t63 () (tptp.vlookup @t2 @t50)) % 34.22/34.47 (define @t64 () (= @t60 @t63)) % 34.22/34.47 (define @t65 () (= @t50 tptp.vempty)) % 34.22/34.47 (define @t66 () (= @t2 @t30)) % 34.22/34.47 (define @t67 () (@var "VTy" $$unsorted)) % 34.22/34.47 (define @t68 () (= @t60 (tptp.vsomeType @t67))) % 34.22/34.47 (define @t69 () (@var "Vy" $$unsorted)) % 34.22/34.47 (define @t70 () (= @t30 @t69)) % 34.22/34.47 (define @t71 () (@var "VC" $$unsorted)) % 34.22/34.47 (define @t72 () (tptp.vbind @t69 @t67 @t71)) % 34.22/34.47 (define @t73 () (= @t50 @t72)) % 34.22/34.47 (define @t74 () (and @t66 @t73)) % 34.22/34.47 (define @t75 () (tptp.vlookup @t30 @t71)) % 34.22/34.47 (define @t76 () (= @t60 @t75)) % 34.22/34.47 (define @t77 () (not @t70)) % 34.22/34.47 (define @t78 () (@list @t30)) % 34.22/34.47 (define @t79 () (@var "VTx" $$unsorted)) % 34.22/34.47 (define @t80 () (tptp.vbind @t30 @t79 @t71)) % 34.22/34.47 (define @t81 () (tptp.vtcheck (tptp.vbind @t30 @t79 @t72) @t28 @t46)) % 34.22/34.47 (define @t82 () (@list @t69 @t67 @t30 @t79 @t71 @t28 @t46)) % 34.22/34.47 (define @t83 () (tptp.vsubst @t2 @t8 @t6)) % 34.22/34.47 (define @t84 () (= @t60 @t83)) % 34.22/34.47 (define @t85 () (tptp.vvar @t69)) % 34.22/34.47 (define @t86 () (= @t6 @t85)) % 34.22/34.47 (define @t87 () (= @t8 @t28)) % 34.22/34.47 (define @t88 () (and @t66 @t87 @t86)) % 34.22/34.47 (define @t89 () (= @t60 @t85)) % 34.22/34.47 (define @t90 () (tptp.vsubst @t30 @t28 @t37)) % 34.22/34.47 (define @t91 () (tptp.vapp @t90 (tptp.vsubst @t30 @t28 @t36))) % 34.22/34.47 (define @t92 () (= @t60 @t91)) % 34.22/34.47 (define @t93 () (=> @t84 @t92)) % 34.22/34.47 (define @t94 () (= @t6 @t38)) % 34.22/34.47 (define @t95 () (and @t66 @t87 @t94)) % 34.22/34.47 (define @t96 () (@list @t2 @t8 @t6 @t60 @t37 @t30 @t28 @t36)) % 34.22/34.47 (define @t97 () (forall @t96 (=> @t95 @t93))) % 34.22/34.47 (define @t98 () (tptp.vabs @t69 @t46 @t37)) % 34.22/34.47 (define @t99 () (= @t60 @t98)) % 34.22/34.47 (define @t100 () (= @t6 @t98)) % 34.22/34.47 (define @t101 () (and @t66 @t87 @t100)) % 34.22/34.47 (define @t102 () (@var "Vfresh" $$unsorted)) % 34.22/34.47 (define @t103 () (= @t60 (tptp.vsubst @t30 @t28 (tptp.vabs @t102 @t46 (tptp.vsubst @t69 (tptp.vvar @t102) @t37))))) % 34.22/34.47 (define @t104 () (= @t102 (tptp.vgensym (tptp.vapp (tptp.vapp @t28 @t37) @t34)))) % 34.22/34.47 (define @t105 () (tptp.visFreeVar @t69 @t28)) % 34.22/34.47 (define @t106 () (= @t60 (tptp.vabs @t69 @t46 @t90))) % 34.22/34.47 (define @t107 () (not @t105)) % 34.22/34.47 (define @t108 () (@list @t37 @t30 @t28 @t36)) % 34.22/34.47 (define @t109 () (= tptp.vnoExp tptp.vnoExp)) % 34.22/34.47 (define @t110 () (tptp.vsomeExp @t8)) % 34.22/34.47 (define @t111 () (= @t110 (tptp.vsomeExp @t6))) % 34.22/34.47 (define @t112 () (@list @t8)) % 34.22/34.47 (define @t113 () (@var "VOptExp0" $$unsorted)) % 34.22/34.47 (define @t114 () (tptp.visSomeExp @t113)) % 34.22/34.47 (define @t115 () (= @t113 (tptp.vsomeExp @t28))) % 34.22/34.47 (define @t116 () (= @t60 tptp.vnoExp)) % 34.22/34.47 (define @t117 () (tptp.vreduce @t8)) % 34.22/34.47 (define @t118 () (= @t60 @t117)) % 34.22/34.47 (define @t119 () (=> @t118 @t116)) % 34.22/34.47 (define @t120 () (@var "Ve2red" $$unsorted)) % 34.22/34.47 (define @t121 () (tptp.vabs @t30 @t29 @t37)) % 34.22/34.47 (define @t122 () (= @t60 (tptp.vsomeExp (tptp.vapp @t121 (tptp.vgetSomeExp @t120))))) % 34.22/34.47 (define @t123 () (tptp.visSomeExp @t120)) % 34.22/34.47 (define @t124 () (= @t120 (tptp.vreduce @t36))) % 34.22/34.47 (define @t125 () (= @t8 (tptp.vapp @t121 @t36))) % 34.22/34.47 (define @t126 () (= @t60 (tptp.vsomeExp (tptp.vsubst @t30 @t36 @t37)))) % 34.22/34.47 (define @t127 () (tptp.visValue @t36)) % 34.22/34.47 (define @t128 () (not @t123)) % 34.22/34.47 (define @t129 () (not @t127)) % 34.22/34.47 (define @t130 () (@var "Ve1red" $$unsorted)) % 34.22/34.47 (define @t131 () (= @t60 (tptp.vsomeExp (tptp.vapp (tptp.vgetSomeExp @t130) @t36)))) % 34.22/34.47 (define @t132 () (tptp.visSomeExp @t130)) % 34.22/34.47 (define @t133 () (= @t130 (tptp.vreduce @t37))) % 34.22/34.47 (define @t134 () (@var "VVe10" $$unsorted)) % 34.22/34.47 (define @t135 () (@var "VVS0" $$unsorted)) % 34.22/34.47 (define @t136 () (@var "VVx0" $$unsorted)) % 34.22/34.47 (define @t137 () (forall (@list @t136 @t135 @t134) (not (= @t37 (tptp.vabs @t136 @t135 @t134))))) % 34.22/34.47 (define @t138 () (and @t39 @t137)) % 34.22/34.47 (define @t139 () (not @t132)) % 34.22/34.47 (define @t140 () (@var "VTyp3" $$unsorted)) % 34.22/34.47 (define @t141 () (@var "VTyp2" $$unsorted)) % 34.22/34.47 (define @t142 () (= (tptp.varrow @t9 @t7) (tptp.varrow @t141 @t140))) % 34.22/34.47 (define @t143 () (and (= @t9 @t141) (= @t7 @t140))) % 34.22/34.47 (define @t144 () (= @t75 (tptp.vsomeType @t46))) % 34.22/34.47 (define @t145 () (tptp.varrow @t29 @t46)) % 34.22/34.47 (define @t146 () (tptp.vtcheck (tptp.vbind @t30 @t29 @t71) @t28 @t46)) % 34.22/34.47 (define @t147 () (tptp.vtcheck @t71 @t38 @t46)) % 34.22/34.47 (define @t148 () (tptp.vtcheck @t71 @t36 @t29)) % 34.22/34.47 (define @t149 () (tptp.vtcheck @t71 @t37 @t145)) % 34.22/34.47 (define @t150 () (and @t149 @t148)) % 34.22/34.47 (define @t151 () (forall (@list @t29 @t71 @t37 @t36 @t46) (=> @t150 @t147))) % 34.22/34.47 (define @t152 () (= @t28 @t38)) % 34.22/34.47 (define @t153 () (and @t152 @t149 @t148)) % 34.22/34.47 (define @t154 () (@list @t37 @t36 @t29)) % 34.22/34.47 (define @t155 () (exists @t154 @t153)) % 34.22/34.47 (define @t156 () (@var "VT2" $$unsorted)) % 34.22/34.47 (define @t157 () (@var "VT1" $$unsorted)) % 34.22/34.47 (define @t158 () (tptp.vtcheck (tptp.vbind @t30 @t157 @t71) @t36 @t156)) % 34.22/34.47 (define @t159 () (tptp.varrow @t157 @t156)) % 34.22/34.47 (define @t160 () (= @t46 @t159)) % 34.22/34.47 (define @t161 () (tptp.vabs @t30 @t157 @t36)) % 34.22/34.47 (define @t162 () (= @t28 @t161)) % 34.22/34.47 (define @t163 () (and @t162 @t160 @t158)) % 34.22/34.47 (define @t164 () (@list @t30 @t36 @t157 @t156)) % 34.22/34.47 (define @t165 () (exists @t164 @t163)) % 34.22/34.47 (define @t166 () (= @t28 @t34)) % 34.22/34.47 (define @t167 () (and @t166 @t144)) % 34.22/34.47 (define @t168 () (exists @t78 @t167)) % 34.22/34.47 (define @t169 () (or @t168 @t165 @t155)) % 34.22/34.47 (define @t170 () (tptp.vtcheck @t71 @t28 @t46)) % 34.22/34.47 (define @t171 () (=> @t170 @t169)) % 34.22/34.47 (define @t172 () (@list @t28 @t46 @t71)) % 34.22/34.47 (define @t173 () (forall @t172 @t171)) % 34.22/34.47 (define @t174 () (@list @t30 @t29 @t71 @t28 @t46)) % 34.22/34.47 (define @t175 () (not (tptp.visFreeVar @t30 @t28))) % 34.22/34.47 (define @t176 () (tptp.vtcheck @t71 (tptp.vsubst @t30 @t28 tptp.ve1) @t156)) % 34.22/34.47 (define @t177 () (tptp.vbind @t30 @t46 @t71)) % 34.22/34.47 (define @t178 () (tptp.vtcheck @t177 tptp.ve1 @t156)) % 34.22/34.47 (define @t179 () (and @t170 @t178)) % 34.22/34.47 (define @t180 () (@list @t46 @t71 @t30 @t28 @t156)) % 34.22/34.47 (define @t181 () (forall @t180 (=> @t179 @t176))) % 34.22/34.47 (define @t182 () (tptp.vtcheck @t71 (tptp.vsubst @t30 @t28 tptp.ve2) @t156)) % 34.22/34.47 (define @t183 () (tptp.vtcheck @t177 tptp.ve2 @t156)) % 34.22/34.47 (define @t184 () (and @t170 @t183)) % 34.22/34.47 (define @t185 () (forall @t180 (=> @t184 @t182))) % 34.22/34.47 (define @t186 () (tptp.vapp tptp.ve1 tptp.ve2)) % 34.22/34.47 (define @t187 () (tptp.vtcheck @t71 (tptp.vsubst @t30 @t28 @t186) @t156)) % 34.22/34.47 (define @t188 () (tptp.vtcheck @t177 @t186 @t156)) % 34.22/34.47 (define @t189 () (and @t170 @t188)) % 34.22/34.47 (define @t190 () (forall @t180 (=> @t189 @t187))) % 34.22/34.47 (define @t191 () (not @t190)) % 34.22/34.47 (define @t192 () (not @t188)) % 34.22/34.47 (define @t193 () (not @t170)) % 34.22/34.47 (define @t194 () (or @t193 @t192 @t187)) % 34.22/34.47 (define @t195 () (forall @t180 @t194)) % 34.22/34.47 (define @t196 () (@quantifiers_skolemize @t195 4)) % 34.22/34.47 (define @t197 () (@quantifiers_skolemize @t195 3)) % 34.22/34.47 (define @t198 () (@quantifiers_skolemize @t195 2)) % 34.22/34.47 (define @t199 () (tptp.vsubst @t198 @t197 @t186)) % 34.22/34.47 (define @t200 () (@quantifiers_skolemize @t195 1)) % 34.22/34.47 (define @t201 () (tptp.vtcheck @t200 @t199 @t196)) % 34.22/34.47 (define @t202 () (@quantifiers_skolemize @t195 0)) % 34.22/34.47 (define @t203 () (tptp.vbind @t198 @t202 @t200)) % 34.22/34.47 (define @t204 () (tptp.vtcheck @t203 @t186 @t196)) % 34.22/34.47 (define @t205 () (not @t204)) % 34.22/34.47 (define @t206 () (tptp.vtcheck @t200 @t197 @t202)) % 34.22/34.47 (define @t207 () (not @t206)) % 34.22/34.47 (define @t208 () (or @t207 @t205 @t201)) % 34.22/34.47 (define @t209 () (not @t201)) % 34.22/34.47 (define @t210 () (@list true)) % 34.22/34.47 (define @t211 () (@list @t208)) % 34.22/34.47 (define @t212 () (tptp.vsubst @t30 @t28 @t38)) % 34.22/34.47 (define @t213 () (= @t91 @t212)) % 34.22/34.47 (define @t214 () (not (= @t212 @t212))) % 34.22/34.47 (define @t215 () (or @t214 (= @t212 @t91))) % 34.22/34.47 (define @t216 () (not (= @t60 @t212))) % 34.22/34.47 (define @t217 () (or @t216 @t216 @t92)) % 34.22/34.47 (define @t218 () (@list @t60)) % 34.22/34.47 (define @t219 () (or @t216 @t92)) % 34.22/34.47 (define @t220 () (forall @t218 @t219)) % 34.22/34.47 (define @t221 () (forall @t108 @t220)) % 34.22/34.47 (define @t222 () (forall (@list @t37 @t30 @t28 @t36 @t60) @t219)) % 34.22/34.47 (define @t223 () (@list @t60 @t37 @t30 @t28 @t36)) % 34.22/34.47 (define @t224 () (not (= @t38 @t38))) % 34.22/34.47 (define @t225 () (or @t224 @t216 @t92)) % 34.22/34.47 (define @t226 () (not (= @t60 (tptp.vsubst @t30 @t28 @t6)))) % 34.22/34.47 (define @t227 () (not @t94)) % 34.22/34.47 (define @t228 () (or @t227 @t227 @t226 @t92)) % 34.22/34.47 (define @t229 () (@list @t6)) % 34.22/34.47 (define @t230 () (or @t227 @t226 @t92)) % 34.22/34.47 (define @t231 () (forall @t229 @t230)) % 34.22/34.47 (define @t232 () (forall @t223 @t231)) % 34.22/34.47 (define @t233 () (forall (@list @t60 @t37 @t30 @t28 @t36 @t6) @t230)) % 34.22/34.47 (define @t234 () (@list @t6 @t60 @t37 @t30 @t28 @t36)) % 34.22/34.47 (define @t235 () (not (= @t28 @t28))) % 34.22/34.47 (define @t236 () (or @t235 @t227 @t226 @t92)) % 34.22/34.47 (define @t237 () (not (= @t60 (tptp.vsubst @t30 @t8 @t6)))) % 34.22/34.47 (define @t238 () (not @t87)) % 34.22/34.47 (define @t239 () (or @t238 @t238 @t227 @t237 @t92)) % 34.22/34.47 (define @t240 () (or @t238 @t227 @t237 @t92)) % 34.22/34.47 (define @t241 () (forall @t112 @t240)) % 34.22/34.47 (define @t242 () (forall @t234 @t241)) % 34.22/34.47 (define @t243 () (forall (@list @t6 @t60 @t37 @t30 @t28 @t36 @t8) @t240)) % 34.22/34.47 (define @t244 () (@list @t8 @t6 @t60 @t37 @t30 @t28 @t36)) % 34.22/34.47 (define @t245 () (not (= @t30 @t30))) % 34.22/34.47 (define @t246 () (or @t245 @t238 @t227 @t237 @t92)) % 34.22/34.47 (define @t247 () (not @t84)) % 34.22/34.47 (define @t248 () (not @t66)) % 34.22/34.47 (define @t249 () (or @t248 @t248 @t238 @t227 @t247 @t92)) % 34.22/34.47 (define @t250 () (@list @t2)) % 34.22/34.47 (define @t251 () (or @t248 @t238 @t227 @t247 @t92)) % 34.22/34.47 (define @t252 () (forall @t250 @t251)) % 34.22/34.47 (define @t253 () (forall @t244 @t252)) % 34.22/34.47 (define @t254 () (forall (@list @t8 @t6 @t60 @t37 @t30 @t28 @t36 @t2) @t251)) % 34.22/34.47 (define @t255 () (or @t248 @t238 @t227)) % 34.22/34.47 (define @t256 () (tptp.vsubst @t198 @t197 tptp.ve2)) % 34.22/34.47 (define @t257 () (tptp.vsubst @t198 @t197 tptp.ve1)) % 34.22/34.47 (define @t258 () (tptp.vapp @t257 @t256)) % 34.22/34.47 (define @t259 () (forall @t108 @t213)) % 34.22/34.47 (define @t260 () (= @t258 @t199)) % 34.22/34.47 (define @t261 () (= @t199 @t258)) % 34.22/34.47 (define @t262 () (@list false)) % 34.22/34.47 (define @t263 () (not @t148)) % 34.22/34.47 (define @t264 () (not @t149)) % 34.22/34.47 (define @t265 () (or @t264 @t263)) % 34.22/34.47 (define @t266 () (not @t150)) % 34.22/34.47 (define @t267 () (not (tptp.vtcheck @t203 @t36 @t29))) % 34.22/34.47 (define @t268 () (not (tptp.vtcheck @t203 @t37 (tptp.varrow @t29 @t196)))) % 34.22/34.47 (define @t269 () (forall @t154 (or (not (= @t38 @t186)) @t268 @t267))) % 34.22/34.47 (define @t270 () (@quantifiers_skolemize @t269 2)) % 34.22/34.47 (define @t271 () (not @t183)) % 34.22/34.47 (define @t272 () (@var "BOUND_VARIABLE_8118" $$unsorted)) % 34.22/34.47 (define @t273 () (@var "BOUND_VARIABLE_8114" $$unsorted)) % 34.22/34.47 (define @t274 () (@var "BOUND_VARIABLE_8116" $$unsorted)) % 34.22/34.47 (define @t275 () (@var "BOUND_VARIABLE_8112" $$unsorted)) % 34.22/34.47 (define @t276 () (forall (@list @t275 @t273 @t274 @t272) (or (not (= (tptp.vapp @t275 @t273) (tptp.vapp @t274 @t272))) (and (= @t275 @t274) (= @t273 @t272))))) % 34.22/34.47 (define @t277 () (@var "BOUND_VARIABLE_8136" $$unsorted)) % 34.22/34.47 (define @t278 () (@var "BOUND_VARIABLE_8134" $$unsorted)) % 34.22/34.47 (define @t279 () (@list @t278 @t277)) % 34.22/34.47 (define @t280 () (tptp.vapp @t278 @t277)) % 34.22/34.47 (define @t281 () (not (= @t277 @t277))) % 34.22/34.47 (define @t282 () (or @t281 (= @t280 @t280))) % 34.22/34.47 (define @t283 () (@var "BOUND_VARIABLE_8132" $$unsorted)) % 34.22/34.47 (define @t284 () (tptp.vapp @t278 @t283)) % 34.22/34.47 (define @t285 () (= @t280 @t284)) % 34.22/34.47 (define @t286 () (not (= @t283 @t277))) % 34.22/34.47 (define @t287 () (or @t286 @t286 @t285)) % 34.22/34.47 (define @t288 () (@list @t283)) % 34.22/34.47 (define @t289 () (or @t286 @t285)) % 34.22/34.47 (define @t290 () (forall @t288 @t289)) % 34.22/34.47 (define @t291 () (forall @t279 @t290)) % 34.22/34.47 (define @t292 () (forall (@list @t278 @t277 @t283) @t289)) % 34.22/34.47 (define @t293 () (@list @t283 @t278 @t277)) % 34.22/34.47 (define @t294 () (not (= @t278 @t278))) % 34.22/34.47 (define @t295 () (or @t294 @t286 (= @t284 @t280))) % 34.22/34.47 (define @t296 () (@var "BOUND_VARIABLE_8130" $$unsorted)) % 34.22/34.47 (define @t297 () (= (tptp.vapp @t296 @t283) @t280)) % 34.22/34.47 (define @t298 () (not (= @t296 @t278))) % 34.22/34.47 (define @t299 () (or @t298 @t298 @t286 @t297)) % 34.22/34.47 (define @t300 () (@list @t296)) % 34.22/34.47 (define @t301 () (or @t298 @t286 @t297)) % 34.22/34.47 (define @t302 () (forall @t300 @t301)) % 34.22/34.47 (define @t303 () (forall @t293 @t302)) % 34.22/34.47 (define @t304 () (forall (@list @t283 @t278 @t277 @t296) @t301)) % 34.22/34.47 (define @t305 () (forall (@list @t296 @t283 @t278 @t277) @t301)) % 34.22/34.47 (define @t306 () (not @t19)) % 34.22/34.47 (define @t307 () (not @t20)) % 34.22/34.47 (define @t308 () (or @t307 @t306 @t18)) % 34.22/34.47 (define @t309 () (forall @t23 @t308)) % 34.22/34.47 (define @t310 () (@list @t8 @t6 @t16 @t15)) % 34.22/34.47 (define @t311 () (or (not @t18) @t21)) % 34.22/34.47 (define @t312 () (forall @t23 @t311)) % 34.22/34.47 (define @t313 () (and @t312 @t309)) % 34.22/34.47 (define @t314 () (@quantifiers_skolemize @t269 1)) % 34.22/34.47 (define @t315 () (@quantifiers_skolemize @t269 0)) % 34.22/34.47 (define @t316 () (not @t152)) % 34.22/34.47 (define @t317 () (or @t316 @t264 @t263)) % 34.22/34.47 (define @t318 () (not (forall @t154 @t317))) % 34.22/34.47 (define @t319 () (not @t158)) % 34.22/34.47 (define @t320 () (not @t160)) % 34.22/34.47 (define @t321 () (not @t162)) % 34.22/34.47 (define @t322 () (or @t321 @t320 @t319)) % 34.22/34.47 (define @t323 () (not (forall @t164 @t322))) % 34.22/34.47 (define @t324 () (not (forall @t78 (or (not @t166) (not @t144))))) % 34.22/34.47 (define @t325 () (or @t193 @t324 @t323 @t318)) % 34.22/34.47 (define @t326 () (or @t324 @t323 @t318)) % 34.22/34.47 (define @t327 () (forall @t154 (not @t153))) % 34.22/34.47 (define @t328 () (not @t327)) % 34.22/34.47 (define @t329 () (forall @t164 (not @t163))) % 34.22/34.47 (define @t330 () (not @t329)) % 34.22/34.47 (define @t331 () (forall @t78 (not @t167))) % 34.22/34.47 (define @t332 () (not @t331)) % 34.22/34.47 (define @t333 () (not (= @t186 @t38))) % 34.22/34.47 (define @t334 () (or @t333 @t268 @t267)) % 34.22/34.47 (define @t335 () (forall @t154 @t334)) % 34.22/34.47 (define @t336 () (not @t335)) % 34.22/34.47 (define @t337 () (not (tptp.vtcheck (tptp.vbind @t30 @t157 @t203) @t36 @t156))) % 34.22/34.47 (define @t338 () (not (= @t196 @t159))) % 34.22/34.47 (define @t339 () (not (= @t186 @t161))) % 34.22/34.47 (define @t340 () (or @t339 @t338 @t337)) % 34.22/34.47 (define @t341 () (forall @t164 @t340)) % 34.22/34.47 (define @t342 () (not @t341)) % 34.22/34.47 (define @t343 () (tptp.vsomeType @t196)) % 34.22/34.47 (define @t344 () (not (= (tptp.vlookup @t30 @t203) @t343))) % 34.22/34.47 (define @t345 () (not (= @t186 @t34))) % 34.22/34.47 (define @t346 () (or @t345 @t344)) % 34.22/34.47 (define @t347 () (forall @t78 @t346)) % 34.22/34.47 (define @t348 () (not @t347)) % 34.22/34.47 (define @t349 () (or @t205 @t348 @t342 @t336)) % 34.22/34.47 (define @t350 () (forall @t172 @t325)) % 34.22/34.47 (define @t351 () (not @t269)) % 34.22/34.47 (define @t352 () (forall @t164 (or (not (= @t161 @t186)) (not (= @t159 @t196)) @t337))) % 34.22/34.47 (define @t353 () (not @t352)) % 34.22/34.47 (define @t354 () (forall @t78 (or (not (= @t34 @t186)) @t344))) % 34.22/34.47 (define @t355 () (not @t354)) % 34.22/34.47 (define @t356 () (or @t205 @t355 @t353 @t351)) % 34.22/34.47 (define @t357 () (@quantifiers_skolemize @t352 1)) % 34.22/34.47 (define @t358 () (@quantifiers_skolemize @t352 2)) % 34.22/34.47 (define @t359 () (@quantifiers_skolemize @t352 0)) % 34.22/34.47 (define @t360 () (tptp.vabs @t359 @t358 @t357)) % 34.22/34.47 (define @t361 () (not (= @t360 @t186))) % 34.22/34.47 (define @t362 () (= @t186 @t360)) % 34.22/34.47 (define @t363 () (not @t362)) % 34.22/34.47 (define @t364 () (@quantifiers_skolemize @t352 3)) % 34.22/34.47 (define @t365 () (not (tptp.vtcheck (tptp.vbind @t359 @t358 @t203) @t357 @t364))) % 34.22/34.47 (define @t366 () (tptp.varrow @t358 @t364)) % 34.22/34.47 (define @t367 () (or @t363 (not (= @t196 @t366)) @t365)) % 34.22/34.47 (define @t368 () (not @t367)) % 34.22/34.47 (define @t369 () (not (= @t366 @t196))) % 34.22/34.47 (define @t370 () (or @t361 @t369 @t365)) % 34.22/34.47 (define @t371 () (not @t370)) % 34.22/34.47 (define @t372 () (@quantifiers_skolemize @t354 0)) % 34.22/34.47 (define @t373 () (tptp.vvar @t372)) % 34.22/34.47 (define @t374 () (not (= @t373 @t186))) % 34.22/34.47 (define @t375 () (= @t186 @t373)) % 34.22/34.47 (define @t376 () (not @t375)) % 34.22/34.47 (define @t377 () (tptp.vlookup @t372 @t203)) % 34.22/34.47 (define @t378 () (or @t376 (not (= @t343 @t377)))) % 34.22/34.47 (define @t379 () (not @t378)) % 34.22/34.48 (define @t380 () (not (= @t377 @t343))) % 34.22/34.48 (define @t381 () (or @t374 @t380)) % 34.22/34.48 (define @t382 () (not @t381)) % 34.22/34.48 (define @t383 () (tptp.vtcheck @t203 @t314 @t270)) % 34.22/34.48 (define @t384 () (not @t383)) % 34.22/34.48 (define @t385 () (tptp.varrow @t270 @t196)) % 34.22/34.48 (define @t386 () (tptp.vtcheck @t203 @t315 @t385)) % 34.22/34.48 (define @t387 () (not @t386)) % 34.22/34.48 (define @t388 () (tptp.vapp @t315 @t314)) % 34.22/34.48 (define @t389 () (= @t186 @t388)) % 34.22/34.48 (define @t390 () (not @t389)) % 34.22/34.48 (define @t391 () (or @t390 @t387 @t384)) % 34.22/34.48 (define @t392 () (not @t391)) % 34.22/34.48 (define @t393 () (not (= @t388 @t186))) % 34.22/34.48 (define @t394 () (or @t393 @t387 @t384)) % 34.22/34.48 (define @t395 () (not @t394)) % 34.22/34.48 (define @t396 () (@list @t391)) % 34.22/34.48 (define @t397 () (= tptp.ve2 @t314)) % 34.22/34.48 (define @t398 () (= tptp.ve1 @t315)) % 34.22/34.48 (define @t399 () (and @t398 @t397)) % 34.22/34.48 (define @t400 () (or @t390 @t399)) % 34.22/34.48 (define @t401 () (@list false false)) % 34.22/34.48 (define @t402 () (not @t399)) % 34.22/34.48 (define @t403 () (@list @t399)) % 34.22/34.48 (define @t404 () (tptp.vtcheck @t203 tptp.ve2 @t270)) % 34.22/34.48 (define @t405 () (and @t383 @t397)) % 34.22/34.48 (define @t406 () (tptp.vtcheck @t200 @t256 @t270)) % 34.22/34.48 (define @t407 () (not @t404)) % 34.22/34.48 (define @t408 () (or @t207 @t407 @t406)) % 34.22/34.48 (define @t409 () (@list false false false)) % 34.22/34.48 (define @t410 () (not @t178)) % 34.22/34.48 (define @t411 () (tptp.vtcheck @t203 tptp.ve1 @t385)) % 34.22/34.48 (define @t412 () (and @t386 @t398)) % 34.22/34.48 (define @t413 () (tptp.vtcheck @t200 @t257 @t385)) % 34.22/34.48 (define @t414 () (not @t411)) % 34.22/34.48 (define @t415 () (or @t207 @t414 @t413)) % 34.22/34.48 (define @t416 () (tptp.vtcheck @t200 @t258 @t196)) % 34.22/34.48 (define @t417 () (not @t406)) % 34.22/34.48 (define @t418 () (not @t413)) % 34.22/34.48 (define @t419 () (or @t418 @t417 @t416)) % 34.22/34.48 (define @t420 () (not @t416)) % 34.22/34.48 (define @t421 () (not @t261)) % 34.22/34.48 (define @t422 () (and @t416 @t261 @t209)) % 34.22/34.48 (assume @p1 (forall (@list @t2 @t1) (and (=> @t4 @t5) (=> @t5 @t4)))) % 34.22/34.48 (assume @p2 (forall (@list @t2 @t9 @t8 @t1 @t7 @t6) (and (=> @t11 @t14) (=> @t14 @t11)))) % 34.22/34.48 (assume @p3 @t24) % 34.22/34.48 (assume @p4 (forall (@list @t2 @t1 @t9 @t8) (not (= @t3 (tptp.vabs @t1 @t9 @t8))))) % 34.22/34.48 (assume @p5 @t25) % 34.22/34.48 (assume @p6 @t26) % 34.22/34.48 (assume @p7 (forall (@list @t30 @t29 @t28 @t8) (=> @t32 @t27))) % 34.22/34.48 (assume @p8 (forall (@list @t30 @t8) (=> @t35 @t33))) % 34.22/34.48 (assume @p9 (forall (@list @t37 @t36 @t8) (=> @t39 @t33))) % 34.22/34.48 (assume @p10 (forall (@list @t2 @t8 @t30 @t40) (=> (and @t43 @t35) (and (=> @t41 @t42) (=> @t42 @t41))))) % 34.22/34.48 (assume @p11 (forall (@list @t46 @t2 @t8 @t30 @t40 @t28) (=> (and @t43 (= @t8 (tptp.vabs @t30 @t46 @t28))) (and (=> @t45 @t42) (=> @t42 @t45))))) % 34.22/34.48 (assume @p12 (forall (@list @t2 @t8 @t37 @t40 @t36) (=> (and @t43 @t39) (and (=> @t47 @t42) (=> @t42 @t47))))) % 34.22/34.48 (assume @p13 (and (=> @t48 true) (=> true @t48))) % 34.22/34.48 (assume @p14 (forall (@list @t2 @t9 @t50 @t1 @t7 @t49) (and (=> @t52 @t53) (=> @t53 @t52)))) % 34.22/34.48 (assume @p15 (and (=> @t54 true) (=> true @t54))) % 34.22/34.48 (assume @p16 (forall (@list @t9 @t7) (and (=> @t56 @t13) (=> @t13 @t56)))) % 34.22/34.48 (assume @p17 (forall (@list @t2 @t9 @t50) (not (= tptp.vempty @t51)))) % 34.22/34.48 (assume @p18 (forall (@list @t9) (not (= tptp.vnoType @t55)))) % 34.22/34.48 (assume @p19 (forall (@list @t57) (=> (= @t57 tptp.vnoType) (not @t58)))) % 34.22/34.48 (assume @p20 (forall (@list @t28 @t57) (=> @t59 @t58))) % 34.22/34.48 (assume @p21 (forall (@list @t57 @t60 @t28) (=> @t59 (=> (= @t60 (tptp.vgetSomeType @t57)) @t61)))) % 34.22/34.48 (assume @p22 (forall (@list @t30 @t2 @t50 @t60) (=> (and @t66 @t65) (=> @t64 @t62)))) % 34.22/34.48 (assume @p23 (forall (@list @t71 @t30 @t69 @t2 @t50 @t60 @t67) (=> @t74 (=> @t70 (=> @t64 @t68))))) % 34.22/34.48 (assume @p24 (forall (@list @t67 @t69 @t2 @t50 @t60 @t30 @t71) (=> @t74 (=> @t77 (=> @t64 @t76))))) % 34.22/34.48 (assume @p25 (forall (@list @t2 @t50 @t60) (=> (= @t63 @t60) (or (exists @t78 (and @t66 @t65 @t62)) (exists (@list @t71 @t30 @t69 @t67) (and @t66 @t73 @t70 @t68)) (exists (@list @t67 @t69 @t30 @t71) (and @t66 @t73 @t77 @t76)))))) % 34.22/34.48 (assume @p26 (forall @t82 (=> (and @t70 @t81) (tptp.vtcheck @t80 @t28 @t46)))) % 34.22/34.48 (assume @p27 (forall @t82 (=> (and @t77 @t81) (tptp.vtcheck (tptp.vbind @t69 @t67 @t80) @t28 @t46)))) % 34.22/34.48 (assume @p28 (forall (@list @t40 @t28) (=> (= (tptp.vgensym @t28) @t40) (not @t44)))) % 34.22/34.48 (assume @p29 (forall (@list @t30 @t69 @t2 @t8 @t6 @t60 @t28) (=> @t88 (=> @t70 (=> @t84 @t61))))) % 34.22/34.48 (assume @p30 (forall (@list @t28 @t30 @t2 @t8 @t6 @t60 @t69) (=> @t88 (=> @t77 (=> @t84 @t89))))) % 34.22/34.48 (assume @p31 @t97) % 34.22/34.48 (assume @p32 (forall (@list @t28 @t30 @t2 @t8 @t6 @t60 @t69 @t46 @t37) (=> @t101 (=> @t70 (=> @t84 @t99))))) % 34.22/34.48 (assume @p33 (forall (@list @t2 @t8 @t6 @t60 @t30 @t28 @t46 @t69 @t102 @t37) (=> @t101 (=> (and @t77 @t105 @t104) (=> @t84 @t103))))) % 34.22/34.48 (assume @p34 (forall (@list @t2 @t8 @t6 @t60 @t69 @t46 @t30 @t28 @t37) (=> @t101 (=> (and @t77 @t107) (=> @t84 @t106))))) % 34.22/34.48 (assume @p35 (forall (@list @t2 @t8 @t6 @t60) (=> (= @t83 @t60) (or (exists (@list @t30 @t69 @t28) (and @t66 @t87 @t86 @t70 @t61)) (exists (@list @t28 @t30 @t69) (and @t66 @t87 @t86 @t77 @t89)) (exists @t108 (and @t66 @t87 @t94 @t92)) (exists (@list @t28 @t30 @t69 @t46 @t37) (and @t66 @t87 @t100 @t70 @t99)) (exists (@list @t30 @t28 @t46 @t69 @t102 @t37) (and @t66 @t87 @t100 @t77 @t105 @t104 @t103)) (exists (@list @t69 @t46 @t30 @t28 @t37) (and @t66 @t87 @t100 @t77 @t107 @t106)))))) % 34.22/34.48 (assume @p36 (and (=> @t109 true) (=> true @t109))) % 34.22/34.48 (assume @p37 (forall (@list @t8 @t6) 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@t130 @t36) (=> @t138 (=> (and @t133 @t132) (=> @t118 @t131))))) % 34.22/34.48 (assume @p48 (forall (@list @t36 @t37 @t130 @t8 @t60) (=> @t138 (=> (and @t133 @t139) @t119)))) % 34.22/34.48 (assume @p49 (forall (@list @t8 @t60) (=> (= @t117 @t60) (or (exists @t78 (and @t35 @t116)) (exists (@list @t30 @t29 @t28) (and @t32 @t116)) (exists (@list @t36 @t30 @t29 @t37 @t120) (and @t125 @t124 @t123 @t122)) (exists (@list @t29 @t120 @t30 @t36 @t37) (and @t125 @t124 @t128 @t127 @t126)) (exists (@list @t30 @t29 @t37 @t120 @t36) (and @t125 @t124 @t128 @t129 @t116)) (exists (@list @t37 @t130 @t36) (and @t39 @t137 @t133 @t132 @t131)) (exists (@list @t36 @t37 @t130) (and @t39 @t137 @t133 @t139 @t116)))))) % 34.22/34.48 (assume @p50 (forall (@list @t9 @t7 @t141 @t140) (and (=> @t142 @t143) (=> @t143 @t142)))) % 34.22/34.48 (assume @p51 (forall (@list @t71 @t30 @t46) (=> @t144 (tptp.vtcheck @t71 @t34 @t46)))) % 34.22/34.48 (assume @p52 (forall (@list @t71 @t30 @t28 @t29 @t46) (=> @t146 (tptp.vtcheck @t71 @t31 @t145)))) % 34.22/34.48 (assume @p53 @t151) % 34.22/34.48 (assume @p54 @t173) % 34.22/34.48 (assume @p55 (forall @t174 (=> (and (= @t75 tptp.vnoType) @t170) @t146))) % 34.22/34.48 (assume @p56 (forall @t174 (=> (and @t175 @t146) @t170))) % 34.22/34.48 (assume @p57 (forall @t174 (=> (and @t175 @t170) @t146))) % 34.22/34.48 (assume @p58 @t181) % 34.22/34.48 (assume @p59 @t185) % 34.22/34.48 (assume @p60 @t191) % 34.22/34.48 (assume @p61 true) % 34.22/34.48 (step @p62 :rule aci_norm :args ((= (or (or @t193 @t192) @t187) @t194))) % 34.22/34.48 (step @p63 :rule refl :args (@t187)) % 34.22/34.48 (step @p64 :rule bool-and-de-morgan :args (@t170 @t188 true)) % 34.22/34.48 (step @p65 :rule nary_cong :premises (@p64 @p63) :args ((or (not @t189) @t187))) % 34.22/34.48 (step @p66 :rule trans :premises (@p65 @p62)) % 34.22/34.48 (step @p67 :rule bool-impl-elim :args (@t189 @t187)) % 34.22/34.48 (step @p68 :rule trans :premises (@p67 @p66)) % 34.22/34.48 (step @p69 :rule cong :premises (@p68) :args (@t190)) % 34.22/34.48 (step @p70 :rule cong :premises (@p69) :args (@t191)) % 34.22/34.48 (step @p71 :rule eq_resolve :premises (@p60 @p70)) % 34.22/34.48 (step @p72 :rule skolemize :premises (@p71)) % 34.22/34.48 (step @p73 :rule cnf_or_neg :args (@t208 2)) % 34.22/34.48 (step @p74 :rule chain_m_resolution :premises (@p73 @p72) :args (@t209 @t210 @t211)) % 34.22/34.48 (step @p75 :rule aci_norm :args ((= (or false @t213) @t213))) % 34.22/34.48 (step @p76 :rule eq-symm :args (@t212 @t91)) % 34.22/34.48 (step @p77 :rule evaluate :args ((not true))) % 34.22/34.48 (step @p78 :rule eq-refl :args (@t212)) % 34.22/34.48 (step @p79 :rule cong :premises (@p78) :args (@t214)) % 34.22/34.48 (step @p80 :rule trans :premises (@p79 @p77)) % 34.22/34.48 (step @p81 :rule nary_cong :premises (@p80 @p76) :args (@t215)) % 34.22/34.48 (step @p82 :rule trans :premises (@p81 @p75)) % 34.22/34.48 (step @p83 :rule cong :premises (@p82) :args ((forall @t108 @t215))) % 34.22/34.48 (step @p84 :rule 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34.22/34.48 (step @p156 :rule aci_norm :args ((= (or @t248 (or @t238 @t227)) @t255))) % 34.22/34.48 (step @p157 :rule bool-and-de-morgan :args (@t87 @t94 true)) % 34.22/34.48 (step @p158 :rule refl :args (@t248)) % 34.22/34.48 (step @p159 :rule nary_cong :premises (@p158 @p157) :args ((or @t248 (not (and @t87 @t94))))) % 34.22/34.48 (step @p160 :rule bool-and-de-morgan :args (@t66 @t87 (and @t94))) % 34.22/34.48 (step @p161 :rule trans :premises (@p160 @p159)) % 34.22/34.48 (step @p162 :rule trans :premises (@p161 @p156)) % 34.22/34.48 (step @p163 :rule nary_cong :premises (@p162 @p155) :args ((or (not @t95) @t93))) % 34.22/34.48 (step @p164 :rule trans :premises (@p163 @p154)) % 34.22/34.48 (step @p165 :rule bool-impl-elim :args (@t95 @t93)) % 34.22/34.48 (step @p166 :rule trans :premises (@p165 @p164)) % 34.22/34.48 (step @p167 :rule cong :premises (@p166) :args (@t97)) % 34.22/34.48 (step @p168 :rule trans :premises (@p167 @p153)) % 34.22/34.48 (step @p169 :rule eq_resolve :premises (@p31 @p168)) % 34.22/34.48 (step @p170 :rule eq-symm :args (@t258 @t199)) % 34.22/34.48 (step @p171 :rule refl :args (@t259)) % 34.22/34.48 (step @p172 :rule cong :premises (@p171 @p170) :args ((=> @t259 @t260))) % 34.22/34.48 (assume-push @p560 @t259) % 34.22/34.48 (step @p174 :rule instantiate :premises (@p169) :args ((@list tptp.ve1 @t198 @t197 tptp.ve2))) % 34.22/34.48 (step-pop @p561 :rule scope :premises (@p174)) % 34.22/34.48 (step @p175 :rule process_scope :premises (@p561) :args (@t260)) % 34.22/34.48 (step @p177 :rule eq_resolve :premises (@p175 @p172)) % 34.22/34.48 (step @p178 :rule implies_elim :premises (@p177)) % 34.22/34.48 (step @p179 :rule chain_m_resolution :premises (@p178 @p169) :args (@t261 @t262 (@list @t259))) % 34.22/34.48 (step @p180 :rule aci_norm :args ((= (or @t265 @t147) (or @t264 @t263 @t147)))) % 34.22/34.48 (step @p181 :rule refl :args (@t147)) % 34.22/34.48 (step @p182 :rule bool-and-de-morgan :args (@t149 @t148 true)) % 34.22/34.48 (step @p183 :rule 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% 34.22/34.48 (step-pop @p578 :rule scope :premises (@p459)) % 34.22/34.48 (step-pop @p579 :rule scope :premises (@p578)) % 34.22/34.48 (step @p460 :rule process_scope :premises (@p579) :args (@t404)) % 34.22/34.48 (step @p463 :rule and_intro :premises (@p574 @p575)) % 34.22/34.48 (step @p464 :rule modus_ponens :premises (@p463 @p460)) % 34.22/34.48 (step-pop @p580 :rule scope :premises (@p464)) % 34.22/34.48 (step-pop @p581 :rule scope :premises (@p580)) % 34.22/34.48 (step @p465 :rule process_scope :premises (@p581) :args (@t404)) % 34.22/34.48 (step @p468 :rule implies_elim :premises (@p465)) % 34.22/34.48 (step @p469 :rule cnf_and_neg :args (@t405)) % 34.22/34.48 (step @p470 :rule resolution :premises (@p469 @p468) :args (true @t405)) % 34.22/34.48 (step @p471 :rule chain_m_resolution :premises (@p470 @p449 @p443) :args (@t404 @t401 (@list @t383 @t397))) % 34.22/34.48 (step @p472 :rule bool-double-not-elim :args (@t206)) % 34.22/34.48 (step @p473 :rule nary_cong :premises (@p403 @p472) :args ((or @t208 (not @t207)))) % 34.22/34.48 (step @p474 :rule cnf_or_neg :args (@t208 0)) % 34.22/34.48 (step @p475 :rule eq_resolve :premises (@p474 @p473)) % 34.22/34.48 (step @p476 :rule reordering :premises (@p475) :args ((or @t206 @t208))) % 34.22/34.48 (step @p477 :rule chain_m_resolution :premises (@p476 @p72) :args (@t206 @t210 @t211)) % 34.22/34.48 (step @p478 :rule cnf_or_pos :args (@t408)) % 34.22/34.48 (step @p479 :rule reordering :premises (@p478) :args ((or @t207 @t407 @t406 (not @t408)))) % 34.22/34.48 (step @p480 :rule chain_m_resolution :premises (@p479 @p477 @p471 @p199) :args (@t406 @t409 (@list @t206 @t404 @t408))) % 34.22/34.48 (step @p481 :rule aci_norm :args ((= (or (or @t193 @t410) @t176) (or @t193 @t410 @t176)))) % 34.22/34.48 (step @p482 :rule refl :args (@t176)) % 34.22/34.48 (step @p483 :rule bool-and-de-morgan :args (@t170 @t178 true)) % 34.22/34.48 (step @p484 :rule nary_cong :premises (@p483 @p482) :args ((or (not @t179) @t176))) % 34.22/34.48 (step @p485 :rule trans :premises (@p484 @p481)) % 34.22/34.48 (step @p486 :rule bool-impl-elim :args (@t179 @t176)) % 34.22/34.48 (step @p487 :rule trans :premises (@p486 @p485)) % 34.22/34.48 (step @p488 :rule cong :premises (@p487) :args (@t181)) % 34.22/34.48 (step @p489 :rule eq_resolve :premises (@p58 @p488)) % 34.22/34.48 (step @p490 :rule instantiate :premises (@p489) :args ((@list @t202 @t200 @t198 @t197 @t385))) % 34.22/34.48 (step @p491 :rule cnf_and_pos :args (@t399 0)) % 34.22/34.48 (step @p492 :rule reordering :premises (@p491) :args ((or @t398 @t402))) % 34.22/34.48 (step @p493 :rule chain_m_resolution :premises (@p492 @p440) :args (@t398 @t262 @t403)) % 34.22/34.48 (step @p494 :rule bool-double-not-elim :args (@t386)) % 34.22/34.48 (step @p495 :rule nary_cong :premises (@p432 @p494) :args ((or @t391 (not @t387)))) % 34.22/34.48 (step @p496 :rule cnf_or_neg :args (@t391 1)) % 34.22/34.48 (step @p497 :rule eq_resolve :premises (@p496 @p495)) % 34.22/34.48 (step @p498 :rule reordering :premises (@p497) :args ((or @t386 @t391))) % 34.22/34.48 (step @p499 :rule chain_m_resolution :premises (@p498 @p430) :args (@t386 @t210 @t396)) % 34.22/34.48 (assume-push @p582 @t386) % 34.22/34.48 (assume-push @p583 @t398) % 34.22/34.48 (assume-push @p584 @t386) % 34.22/34.48 (assume-push @p585 @t398) % 34.22/34.48 (step @p504 :rule true_intro :premises (@p582)) % 34.22/34.48 (step @p505 :rule refl :args (@t385)) % 34.22/34.48 (step @p456 :rule refl :args (@t203)) % 34.22/34.48 (step @p506 :rule cong :premises (@p456 @p583 @p505) :args (@t411)) % 34.22/34.48 (step @p507 :rule trans :premises (@p506 @p504)) % 34.22/34.48 (step @p508 :rule true_elim :premises (@p507)) % 34.22/34.48 (step-pop @p586 :rule scope :premises (@p508)) % 34.22/34.48 (step-pop @p587 :rule scope :premises (@p586)) % 34.22/34.48 (step @p509 :rule process_scope :premises (@p587) :args (@t411)) % 34.22/34.48 (step @p512 :rule and_intro :premises (@p582 @p583)) % 34.22/34.48 (step @p513 :rule modus_ponens :premises (@p512 @p509)) % 34.22/34.48 (step-pop @p588 :rule scope :premises (@p513)) % 34.22/34.48 (step-pop @p589 :rule scope :premises (@p588)) % 34.22/34.48 (step @p514 :rule process_scope :premises (@p589) :args (@t411)) % 34.22/34.48 (step @p517 :rule implies_elim :premises (@p514)) % 34.22/34.48 (step @p518 :rule cnf_and_neg :args (@t412)) % 34.22/34.48 (step @p519 :rule resolution :premises (@p518 @p517) :args (true @t412)) % 34.22/34.48 (step @p520 :rule chain_m_resolution :premises (@p519 @p499 @p493) :args (@t411 @t401 (@list @t386 @t398))) % 34.22/34.48 (step @p521 :rule cnf_or_pos :args (@t415)) % 34.22/34.48 (step @p522 :rule reordering :premises (@p521) :args ((or @t207 @t414 @t413 (not @t415)))) % 34.22/34.48 (step @p523 :rule chain_m_resolution :premises (@p522 @p477 @p520 @p490) :args (@t413 @t409 (@list @t206 @t411 @t415))) % 34.22/34.48 (step @p524 :rule cnf_or_pos :args (@t419)) % 34.22/34.48 (step @p525 :rule reordering :premises (@p524) :args ((or @t418 @t417 @t416 (not @t419)))) % 34.22/34.48 (step @p526 :rule chain_m_resolution :premises (@p525 @p523 @p480 @p189) :args (@t416 @t409 (@list @t413 @t406 @t419))) % 34.22/34.48 (step @p527 :rule refl :args (@t420)) % 34.22/34.48 (step @p528 :rule refl :args (@t421)) % 34.22/34.48 (step @p529 :rule bool-double-not-elim :args (@t201)) % 34.22/34.48 (step @p530 :rule nary_cong :premises (@p529 @p528 @p527) :args ((or (not @t209) @t421 @t420))) % 34.22/34.48 (assume-push @p590 @t416) % 34.22/34.48 (assume-push @p591 @t261) % 34.22/34.48 (assume-push @p592 @t209) % 34.22/34.48 (step @p534 :rule evaluate :args ((= false true))) % 34.22/34.48 (step @p535 :rule true_intro :premises (@p590)) % 34.22/34.48 (step @p536 :rule refl :args (@t196)) % 34.22/34.48 (step @p537 :rule refl :args (@t200)) % 34.22/34.48 (step @p538 :rule cong :premises (@p537 @p179 @p536) :args (@t201)) % 34.22/34.48 (step @p539 :rule false_intro :premises (@p74)) % 34.22/34.48 (step @p540 :rule symm :premises (@p539)) % 34.22/34.48 (step @p541 :rule trans :premises (@p540 @p538 @p535)) % 34.22/34.48 (step @p542 false :rule eq_resolve :premises (@p541 @p534)) % 34.22/34.48 (step-pop @p593 :rule scope :premises (@p542)) % 34.22/34.48 (step-pop @p594 :rule scope :premises (@p593)) % 34.22/34.48 (step-pop @p595 :rule scope :premises (@p594)) % 34.22/34.48 (step @p543 :rule process_scope :premises (@p595) :args (false)) % 34.22/34.48 (assume-push @p596 @t209) % 34.22/34.48 (assume-push @p597 @t261) % 34.22/34.48 (assume-push @p598 @t416) % 34.22/34.48 (step @p550 :rule and_intro :premises (@p598 @p179 @p74)) % 34.22/34.48 (step-pop @p599 :rule scope :premises (@p550)) % 34.22/34.48 (step-pop @p600 :rule scope :premises (@p599)) % 34.22/34.48 (step-pop @p601 :rule scope :premises (@p600)) % 34.22/34.48 (step @p551 :rule process_scope :premises (@p601) :args (@t422)) % 34.22/34.48 (step @p555 :rule implies_elim :premises (@p551)) % 34.22/34.48 (step @p556 :rule resolution :premises (@p555 @p543) :args (true @t422)) % 34.22/34.48 (step @p557 :rule not_and :premises (@p556)) % 34.22/34.48 (step @p558 :rule eq_resolve :premises (@p557 @p530)) % 34.22/34.48 (step @p559 false :rule chain_m_resolution :premises (@p558 @p526 @p179 @p74) :args (false (@list false false true) (@list @t416 @t261 @t201))) % 34.22/34.48 ) % 34.22/34.48 % SZS output end Proof % 34.22/34.48 % cvc5 exiting %------------------------------------------------------------------------------