%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : COM143+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 : n022.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 08:10:35 AM UTC 2026 % Result : Theorem 0.46s 0.66s % Output : Proof 0.46s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : COM143+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 % 0.16/0.33 % Computer : n022.cluster.edu % 0.16/0.33 % Model : x86_64 x86_64 % 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.33 % Memory : 8042.1875MB % 0.16/0.33 % 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 20:30:53 EDT 2026 % 0.16/0.34 % CPUTime : % 0.31/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.46/0.66 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.46/0.66 % SZS status Theorem % 0.46/0.66 % SZS output start Proof % 0.46/0.66 ( % 0.46/0.66 (declare-sort $$unsorted 0) % 0.46/0.66 (declare-const tptp.varrow (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.66 (declare-const tptp.vgetSomeExp (-> $$unsorted $$unsorted)) % 0.46/0.66 (declare-const tptp.vsomeExp (-> $$unsorted $$unsorted)) % 0.46/0.66 (declare-const tptp.vnoExp $$unsorted) % 0.46/0.66 (declare-const tptp.vsubst (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.46/0.66 (declare-const tptp.vgensym (-> $$unsorted $$unsorted)) % 0.46/0.66 (declare-const tptp.vapp (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.66 (declare-const tptp.visValue (-> $$unsorted Bool)) % 0.46/0.66 (declare-const tptp.vempty $$unsorted) % 0.46/0.66 (declare-const tptp.vbind (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.46/0.66 (declare-const tptp.vnoType $$unsorted) % 0.46/0.66 (declare-const tptp.visFreeVar (-> $$unsorted $$unsorted Bool)) % 0.46/0.66 (declare-const tptp.vtcheck (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.46/0.66 (declare-const tptp.vsomeType (-> $$unsorted $$unsorted)) % 0.46/0.66 (declare-const tptp.visSomeExp (-> $$unsorted Bool)) % 0.46/0.66 (declare-const tptp.vvar (-> $$unsorted $$unsorted)) % 0.46/0.66 (declare-const tptp.vlookup (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.66 (declare-const tptp.vabs (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.46/0.66 (declare-const tptp.visSomeType (-> $$unsorted Bool)) % 0.46/0.66 (declare-const tptp.vreduce (-> $$unsorted $$unsorted)) % 0.46/0.66 (declare-const tptp.vgetSomeType (-> $$unsorted $$unsorted)) % 0.46/0.66 (define @t1 () (@var "VVar1" $$unsorted)) % 0.46/0.66 (define @t2 () (@var "VVar0" $$unsorted)) % 0.46/0.66 (define @t3 () (tptp.vvar @t2)) % 0.46/0.66 (define @t4 () (= @t3 (tptp.vvar @t1))) % 0.46/0.66 (define @t5 () (= @t2 @t1)) % 0.46/0.66 (define @t6 () (and (=> @t4 @t5) (=> @t5 @t4))) % 0.46/0.66 (define @t7 () (@list @t2 @t1)) % 0.46/0.66 (define @t8 () (forall @t7 @t6)) % 0.46/0.66 (define @t9 () (@var "VExp1" $$unsorted)) % 0.46/0.66 (define @t10 () (@var "VTyp1" $$unsorted)) % 0.46/0.66 (define @t11 () (@var "VExp0" $$unsorted)) % 0.46/0.66 (define @t12 () (@var "VTyp0" $$unsorted)) % 0.46/0.66 (define @t13 () (tptp.vabs @t2 @t12 @t11)) % 0.46/0.66 (define @t14 () (= @t13 (tptp.vabs @t1 @t10 @t9))) % 0.46/0.66 (define @t15 () (= @t11 @t9)) % 0.46/0.66 (define @t16 () (= @t12 @t10)) % 0.46/0.66 (define @t17 () (and @t5 @t16 @t15)) % 0.46/0.66 (define @t18 () (@var "VExp3" $$unsorted)) % 0.46/0.66 (define @t19 () (@var "VExp2" $$unsorted)) % 0.46/0.66 (define @t20 () (tptp.vapp @t11 @t9)) % 0.46/0.66 (define @t21 () (= @t20 (tptp.vapp @t19 @t18))) % 0.46/0.66 (define @t22 () (and (= @t11 @t19) (= @t9 @t18))) % 0.46/0.66 (define @t23 () (tptp.visValue @t11)) % 0.46/0.66 (define @t24 () (@var "Ve" $$unsorted)) % 0.46/0.66 (define @t25 () (@var "VS" $$unsorted)) % 0.46/0.66 (define @t26 () (@var "Vx" $$unsorted)) % 0.46/0.66 (define @t27 () (tptp.vabs @t26 @t25 @t24)) % 0.46/0.66 (define @t28 () (= @t11 @t27)) % 0.46/0.66 (define @t29 () (not @t23)) % 0.46/0.66 (define @t30 () (tptp.vvar @t26)) % 0.46/0.66 (define @t31 () (= @t11 @t30)) % 0.46/0.66 (define @t32 () (@var "Ve2" $$unsorted)) % 0.46/0.66 (define @t33 () (@var "Ve1" $$unsorted)) % 0.46/0.66 (define @t34 () (tptp.vapp @t33 @t32)) % 0.46/0.66 (define @t35 () (= @t11 @t34)) % 0.46/0.66 (define @t36 () (@var "Vv" $$unsorted)) % 0.46/0.66 (define @t37 () (= @t26 @t36)) % 0.46/0.66 (define @t38 () (tptp.visFreeVar @t2 @t11)) % 0.46/0.66 (define @t39 () (= @t2 @t36)) % 0.46/0.66 (define @t40 () (tptp.visFreeVar @t36 @t24)) % 0.46/0.66 (define @t41 () (and (not @t37) @t40)) % 0.46/0.66 (define @t42 () (@var "VT" $$unsorted)) % 0.46/0.66 (define @t43 () (or (tptp.visFreeVar @t36 @t33) (tptp.visFreeVar @t36 @t32))) % 0.46/0.66 (define @t44 () (= tptp.vempty tptp.vempty)) % 0.46/0.66 (define @t45 () (@var "VCtx1" $$unsorted)) % 0.46/0.66 (define @t46 () (@var "VCtx0" $$unsorted)) % 0.46/0.66 (define @t47 () (tptp.vbind @t2 @t12 @t46)) % 0.46/0.66 (define @t48 () (= @t47 (tptp.vbind @t1 @t10 @t45))) % 0.46/0.66 (define @t49 () (and @t5 @t16 (= @t46 @t45))) % 0.46/0.66 (define @t50 () (= tptp.vnoType tptp.vnoType)) % 0.46/0.66 (define @t51 () (tptp.vsomeType @t12)) % 0.46/0.66 (define @t52 () (= @t51 (tptp.vsomeType @t10))) % 0.46/0.66 (define @t53 () (@var "VOptTyp0" $$unsorted)) % 0.46/0.66 (define @t54 () (tptp.visSomeType @t53)) % 0.46/0.66 (define @t55 () (= @t53 (tptp.vsomeType @t24))) % 0.46/0.66 (define @t56 () (@var "RESULT" $$unsorted)) % 0.46/0.66 (define @t57 () (= @t56 @t24)) % 0.46/0.66 (define @t58 () (= @t56 tptp.vnoType)) % 0.46/0.66 (define @t59 () (tptp.vlookup @t2 @t46)) % 0.46/0.66 (define @t60 () (= @t56 @t59)) % 0.46/0.66 (define @t61 () (= @t46 tptp.vempty)) % 0.46/0.66 (define @t62 () (= @t2 @t26)) % 0.46/0.66 (define @t63 () (@var "VTy" $$unsorted)) % 0.46/0.66 (define @t64 () (= @t56 (tptp.vsomeType @t63))) % 0.46/0.66 (define @t65 () (@var "Vy" $$unsorted)) % 0.46/0.66 (define @t66 () (= @t26 @t65)) % 0.46/0.66 (define @t67 () (@var "VC" $$unsorted)) % 0.46/0.66 (define @t68 () (tptp.vbind @t65 @t63 @t67)) % 0.46/0.66 (define @t69 () (= @t46 @t68)) % 0.46/0.66 (define @t70 () (and @t62 @t69)) % 0.46/0.66 (define @t71 () (tptp.vlookup @t26 @t67)) % 0.46/0.66 (define @t72 () (= @t56 @t71)) % 0.46/0.66 (define @t73 () (=> @t60 @t72)) % 0.46/0.66 (define @t74 () (not @t66)) % 0.46/0.66 (define @t75 () (=> @t74 @t73)) % 0.46/0.66 (define @t76 () (@list @t63 @t65 @t2 @t46 @t56 @t26 @t67)) % 0.46/0.66 (define @t77 () (forall @t76 (=> @t70 @t75))) % 0.46/0.66 (define @t78 () (@list @t63 @t65 @t26 @t67)) % 0.46/0.66 (define @t79 () (@list @t26)) % 0.46/0.66 (define @t80 () (@var "VTx" $$unsorted)) % 0.46/0.66 (define @t81 () (tptp.vbind @t26 @t80 @t67)) % 0.46/0.66 (define @t82 () (tptp.vtcheck (tptp.vbind @t26 @t80 @t68) @t24 @t42)) % 0.46/0.66 (define @t83 () (@list @t65 @t63 @t26 @t80 @t67 @t24 @t42)) % 0.46/0.66 (define @t84 () (tptp.vsubst @t2 @t11 @t9)) % 0.46/0.66 (define @t85 () (= @t56 @t84)) % 0.46/0.66 (define @t86 () (tptp.vvar @t65)) % 0.46/0.66 (define @t87 () (= @t9 @t86)) % 0.46/0.66 (define @t88 () (= @t11 @t24)) % 0.46/0.66 (define @t89 () (and @t62 @t88 @t87)) % 0.46/0.66 (define @t90 () (= @t56 @t86)) % 0.46/0.66 (define @t91 () (tptp.vsubst @t26 @t24 @t33)) % 0.46/0.66 (define @t92 () (= @t56 (tptp.vapp @t91 (tptp.vsubst @t26 @t24 @t32)))) % 0.46/0.66 (define @t93 () (= @t9 @t34)) % 0.46/0.66 (define @t94 () (tptp.vabs @t65 @t42 @t33)) % 0.46/0.66 (define @t95 () (= @t56 @t94)) % 0.46/0.66 (define @t96 () (= @t9 @t94)) % 0.46/0.66 (define @t97 () (and @t62 @t88 @t96)) % 0.46/0.66 (define @t98 () (@var "Vfresh" $$unsorted)) % 0.46/0.66 (define @t99 () (= @t56 (tptp.vsubst @t26 @t24 (tptp.vabs @t98 @t42 (tptp.vsubst @t65 (tptp.vvar @t98) @t33))))) % 0.46/0.66 (define @t100 () (= @t98 (tptp.vgensym (tptp.vapp (tptp.vapp @t24 @t33) @t30)))) % 0.46/0.66 (define @t101 () (tptp.visFreeVar @t65 @t24)) % 0.46/0.66 (define @t102 () (= @t56 (tptp.vabs @t65 @t42 @t91))) % 0.46/0.66 (define @t103 () (not @t101)) % 0.46/0.66 (define @t104 () (= tptp.vnoExp tptp.vnoExp)) % 0.46/0.66 (define @t105 () (tptp.vsomeExp @t11)) % 0.46/0.66 (define @t106 () (= @t105 (tptp.vsomeExp @t9))) % 0.46/0.66 (define @t107 () (@var "VOptExp0" $$unsorted)) % 0.46/0.66 (define @t108 () (tptp.visSomeExp @t107)) % 0.46/0.66 (define @t109 () (= @t107 (tptp.vsomeExp @t24))) % 0.46/0.66 (define @t110 () (= @t56 tptp.vnoExp)) % 0.46/0.66 (define @t111 () (tptp.vreduce @t11)) % 0.46/0.66 (define @t112 () (= @t56 @t111)) % 0.46/0.66 (define @t113 () (=> @t112 @t110)) % 0.46/0.66 (define @t114 () (@var "Ve2red" $$unsorted)) % 0.46/0.66 (define @t115 () (tptp.vabs @t26 @t25 @t33)) % 0.46/0.66 (define @t116 () (= @t56 (tptp.vsomeExp (tptp.vapp @t115 (tptp.vgetSomeExp @t114))))) % 0.46/0.66 (define @t117 () (tptp.visSomeExp @t114)) % 0.46/0.66 (define @t118 () (= @t114 (tptp.vreduce @t32))) % 0.46/0.66 (define @t119 () (= @t11 (tptp.vapp @t115 @t32))) % 0.46/0.66 (define @t120 () (= @t56 (tptp.vsomeExp (tptp.vsubst @t26 @t32 @t33)))) % 0.46/0.66 (define @t121 () (tptp.visValue @t32)) % 0.46/0.66 (define @t122 () (not @t117)) % 0.46/0.66 (define @t123 () (not @t121)) % 0.46/0.66 (define @t124 () (@var "Ve1red" $$unsorted)) % 0.46/0.66 (define @t125 () (= @t56 (tptp.vsomeExp (tptp.vapp (tptp.vgetSomeExp @t124) @t32)))) % 0.46/0.66 (define @t126 () (tptp.visSomeExp @t124)) % 0.46/0.66 (define @t127 () (= @t124 (tptp.vreduce @t33))) % 0.46/0.66 (define @t128 () (@var "VVe10" $$unsorted)) % 0.46/0.66 (define @t129 () (@var "VVS0" $$unsorted)) % 0.46/0.66 (define @t130 () (@var "VVx0" $$unsorted)) % 0.46/0.66 (define @t131 () (forall (@list @t130 @t129 @t128) (not (= @t33 (tptp.vabs @t130 @t129 @t128))))) % 0.46/0.66 (define @t132 () (and @t35 @t131)) % 0.46/0.66 (define @t133 () (not @t126)) % 0.46/0.66 (define @t134 () (@var "VTyp3" $$unsorted)) % 0.46/0.66 (define @t135 () (@var "VTyp2" $$unsorted)) % 0.46/0.66 (define @t136 () (= (tptp.varrow @t12 @t10) (tptp.varrow @t135 @t134))) % 0.46/0.66 (define @t137 () (and (= @t12 @t135) (= @t10 @t134))) % 0.46/0.66 (define @t138 () (tptp.vtcheck @t67 @t30 @t42)) % 0.46/0.66 (define @t139 () (= @t71 (tptp.vsomeType @t42))) % 0.46/0.66 (define @t140 () (forall (@list @t67 @t26 @t42) (=> @t139 @t138))) % 0.46/0.66 (define @t141 () (tptp.varrow @t25 @t42)) % 0.46/0.66 (define @t142 () (tptp.vbind @t26 @t25 @t67)) % 0.46/0.66 (define @t143 () (tptp.vtcheck @t67 @t32 @t25)) % 0.46/0.66 (define @t144 () (tptp.vtcheck @t67 @t33 @t141)) % 0.46/0.66 (define @t145 () (and @t144 @t143)) % 0.46/0.66 (define @t146 () (= @t24 @t34)) % 0.46/0.66 (define @t147 () (and @t146 @t144 @t143)) % 0.46/0.66 (define @t148 () (@list @t33 @t32 @t25)) % 0.46/0.66 (define @t149 () (exists @t148 @t147)) % 0.46/0.66 (define @t150 () (@var "VT2" $$unsorted)) % 0.46/0.66 (define @t151 () (@var "VT1" $$unsorted)) % 0.46/0.66 (define @t152 () (tptp.vtcheck (tptp.vbind @t26 @t151 @t67) @t32 @t150)) % 0.46/0.66 (define @t153 () (tptp.varrow @t151 @t150)) % 0.46/0.66 (define @t154 () (= @t42 @t153)) % 0.46/0.66 (define @t155 () (tptp.vabs @t26 @t151 @t32)) % 0.46/0.66 (define @t156 () (= @t24 @t155)) % 0.46/0.66 (define @t157 () (and @t156 @t154 @t152)) % 0.46/0.66 (define @t158 () (@list @t26 @t32 @t151 @t150)) % 0.46/0.66 (define @t159 () (exists @t158 @t157)) % 0.46/0.66 (define @t160 () (= @t24 @t30)) % 0.46/0.66 (define @t161 () (and @t160 @t139)) % 0.46/0.66 (define @t162 () (exists @t79 @t161)) % 0.46/0.66 (define @t163 () (or @t162 @t159 @t149)) % 0.46/0.66 (define @t164 () (tptp.vtcheck @t67 @t24 @t42)) % 0.46/0.66 (define @t165 () (=> @t164 @t163)) % 0.46/0.66 (define @t166 () (@list @t24 @t42 @t67)) % 0.46/0.66 (define @t167 () (forall @t166 @t165)) % 0.46/0.66 (define @t168 () (tptp.vtcheck @t142 @t86 @t42)) % 0.46/0.66 (define @t169 () (tptp.vtcheck @t67 @t86 @t42)) % 0.46/0.66 (define @t170 () (and (= @t71 tptp.vnoType) @t169)) % 0.46/0.66 (define @t171 () (=> @t170 @t168)) % 0.46/0.66 (define @t172 () (@list @t26 @t25 @t67 @t65 @t42)) % 0.46/0.66 (define @t173 () (forall @t172 @t171)) % 0.46/0.66 (define @t174 () (not @t173)) % 0.46/0.66 (define @t175 () (not @t169)) % 0.46/0.66 (define @t176 () (= tptp.vnoType @t71)) % 0.46/0.66 (define @t177 () (not @t176)) % 0.46/0.66 (define @t178 () (or @t177 @t175 @t168)) % 0.46/0.66 (define @t179 () (and @t176 @t169)) % 0.46/0.66 (define @t180 () (forall @t172 @t178)) % 0.46/0.66 (define @t181 () (@quantifiers_skolemize @t180 2)) % 0.46/0.66 (define @t182 () (@quantifiers_skolemize @t180 0)) % 0.46/0.66 (define @t183 () (tptp.vlookup @t182 @t181)) % 0.46/0.66 (define @t184 () (= tptp.vnoType @t183)) % 0.46/0.66 (define @t185 () (@quantifiers_skolemize @t180 4)) % 0.46/0.66 (define @t186 () (@quantifiers_skolemize @t180 3)) % 0.46/0.66 (define @t187 () (tptp.vvar @t186)) % 0.46/0.66 (define @t188 () (@quantifiers_skolemize @t180 1)) % 0.46/0.66 (define @t189 () (tptp.vbind @t182 @t188 @t181)) % 0.46/0.66 (define @t190 () (tptp.vtcheck @t189 @t187 @t185)) % 0.46/0.66 (define @t191 () (tptp.vtcheck @t181 @t187 @t185)) % 0.46/0.66 (define @t192 () (not @t191)) % 0.46/0.66 (define @t193 () (not @t184)) % 0.46/0.66 (define @t194 () (or @t193 @t192 @t190)) % 0.46/0.66 (define @t195 () (@list true)) % 0.46/0.66 (define @t196 () (@list @t194)) % 0.46/0.66 (define @t197 () (not @t143)) % 0.46/0.66 (define @t198 () (not @t144)) % 0.46/0.66 (define @t199 () (not @t146)) % 0.46/0.66 (define @t200 () (or @t199 @t198 @t197)) % 0.46/0.66 (define @t201 () (not (forall @t148 @t200))) % 0.46/0.66 (define @t202 () (not @t152)) % 0.46/0.66 (define @t203 () (not @t154)) % 0.46/0.66 (define @t204 () (not @t156)) % 0.46/0.66 (define @t205 () (or @t204 @t203 @t202)) % 0.46/0.66 (define @t206 () (not (forall @t158 @t205))) % 0.46/0.66 (define @t207 () (not (forall @t79 (or (not @t160) (not @t139))))) % 0.46/0.66 (define @t208 () (not @t164)) % 0.46/0.66 (define @t209 () (or @t208 @t207 @t206 @t201)) % 0.46/0.66 (define @t210 () (or @t207 @t206 @t201)) % 0.46/0.66 (define @t211 () (forall @t148 (not @t147))) % 0.46/0.66 (define @t212 () (not @t211)) % 0.46/0.66 (define @t213 () (forall @t158 (not @t157))) % 0.46/0.66 (define @t214 () (not @t213)) % 0.46/0.66 (define @t215 () (forall @t79 (not @t161))) % 0.46/0.66 (define @t216 () (not @t215)) % 0.46/0.66 (define @t217 () (not (tptp.vtcheck @t181 @t32 @t25))) % 0.46/0.66 (define @t218 () (not (tptp.vtcheck @t181 @t33 (tptp.varrow @t25 @t185)))) % 0.46/0.66 (define @t219 () (not (= @t187 @t34))) % 0.46/0.66 (define @t220 () (or @t219 @t218 @t217)) % 0.46/0.66 (define @t221 () (forall @t148 @t220)) % 0.46/0.66 (define @t222 () (not @t221)) % 0.46/0.66 (define @t223 () (not (tptp.vtcheck (tptp.vbind @t26 @t151 @t181) @t32 @t150))) % 0.46/0.66 (define @t224 () (not (= @t185 @t153))) % 0.46/0.66 (define @t225 () (not (= @t187 @t155))) % 0.46/0.66 (define @t226 () (or @t225 @t224 @t223)) % 0.46/0.66 (define @t227 () (forall @t158 @t226)) % 0.46/0.66 (define @t228 () (not @t227)) % 0.46/0.66 (define @t229 () (tptp.vlookup @t26 @t181)) % 0.46/0.66 (define @t230 () (tptp.vsomeType @t185)) % 0.46/0.66 (define @t231 () (not (= @t229 @t230))) % 0.46/0.66 (define @t232 () (not (= @t187 @t30))) % 0.46/0.66 (define @t233 () (or @t232 @t231)) % 0.46/0.66 (define @t234 () (forall @t79 @t233)) % 0.46/0.66 (define @t235 () (not @t234)) % 0.46/0.66 (define @t236 () (or @t192 @t235 @t228 @t222)) % 0.46/0.66 (define @t237 () (forall @t166 @t209)) % 0.46/0.66 (define @t238 () (forall @t148 (or (not (= @t34 @t187)) @t218 @t217))) % 0.46/0.66 (define @t239 () (not @t238)) % 0.46/0.66 (define @t240 () (forall @t158 (or (not (= @t155 @t187)) (not (= @t153 @t185)) @t223))) % 0.46/0.66 (define @t241 () (not @t240)) % 0.46/0.66 (define @t242 () (forall @t79 (or (not (= @t30 @t187)) (not (= @t230 @t229))))) % 0.46/0.66 (define @t243 () (not @t242)) % 0.46/0.66 (define @t244 () (or @t192 @t243 @t241 @t239)) % 0.46/0.66 (define @t245 () (@list false)) % 0.46/0.66 (define @t246 () (@quantifiers_skolemize @t238 1)) % 0.46/0.66 (define @t247 () (@quantifiers_skolemize @t238 0)) % 0.46/0.66 (define @t248 () (tptp.vapp @t247 @t246)) % 0.46/0.66 (define @t249 () (= @t187 @t248)) % 0.46/0.66 (define @t250 () (@quantifiers_skolemize @t238 2)) % 0.46/0.66 (define @t251 () (not (tptp.vtcheck @t181 @t246 @t250))) % 0.46/0.66 (define @t252 () (not (tptp.vtcheck @t181 @t247 (tptp.varrow @t250 @t185)))) % 0.46/0.66 (define @t253 () (not @t249)) % 0.46/0.66 (define @t254 () (or @t253 @t252 @t251)) % 0.46/0.66 (define @t255 () (not @t254)) % 0.46/0.66 (define @t256 () (not (= @t248 @t187))) % 0.46/0.66 (define @t257 () (or @t256 @t252 @t251)) % 0.46/0.66 (define @t258 () (not @t257)) % 0.46/0.66 (define @t259 () (@quantifiers_skolemize @t240 1)) % 0.46/0.66 (define @t260 () (@quantifiers_skolemize @t240 2)) % 0.46/0.66 (define @t261 () (@quantifiers_skolemize @t240 0)) % 0.46/0.66 (define @t262 () (tptp.vabs @t261 @t260 @t259)) % 0.46/0.66 (define @t263 () (= @t187 @t262)) % 0.46/0.66 (define @t264 () (@quantifiers_skolemize @t240 3)) % 0.46/0.66 (define @t265 () (not (tptp.vtcheck (tptp.vbind @t261 @t260 @t181) @t259 @t264))) % 0.46/0.66 (define @t266 () (tptp.varrow @t260 @t264)) % 0.46/0.66 (define @t267 () (not @t263)) % 0.46/0.66 (define @t268 () (or @t267 (not (= @t185 @t266)) @t265)) % 0.46/0.66 (define @t269 () (not @t268)) % 0.46/0.66 (define @t270 () (not (= @t266 @t185))) % 0.46/0.66 (define @t271 () (not (= @t262 @t187))) % 0.46/0.66 (define @t272 () (or @t271 @t270 @t265)) % 0.46/0.66 (define @t273 () (not @t272)) % 0.46/0.66 (define @t274 () (@quantifiers_skolemize @t242 0)) % 0.46/0.66 (define @t275 () (= @t230 (tptp.vlookup @t274 @t181))) % 0.46/0.66 (define @t276 () (not @t275)) % 0.46/0.66 (define @t277 () (tptp.vvar @t274)) % 0.46/0.66 (define @t278 () (= @t187 @t277)) % 0.46/0.66 (define @t279 () (not @t278)) % 0.46/0.66 (define @t280 () (or @t279 @t276)) % 0.46/0.66 (define @t281 () (not @t280)) % 0.46/0.66 (define @t282 () (not (= @t277 @t187))) % 0.46/0.66 (define @t283 () (or @t282 @t276)) % 0.46/0.66 (define @t284 () (not @t283)) % 0.46/0.66 (define @t285 () (@list @t280)) % 0.46/0.66 (define @t286 () (@var "BOUND_VARIABLE_7954" $$unsorted)) % 0.46/0.66 (define @t287 () (@var "BOUND_VARIABLE_7952" $$unsorted)) % 0.46/0.66 (define @t288 () (forall (@list @t287 @t286) (or (not (= (tptp.vvar @t287) (tptp.vvar @t286))) (= @t287 @t286)))) % 0.46/0.66 (define @t289 () (@var "BOUND_VARIABLE_7966" $$unsorted)) % 0.46/0.66 (define @t290 () (@list @t289)) % 0.46/0.66 (define @t291 () (tptp.vvar @t289)) % 0.46/0.66 (define @t292 () (not (= @t289 @t289))) % 0.46/0.66 (define @t293 () (or @t292 (= @t291 @t291))) % 0.46/0.66 (define @t294 () (@var "BOUND_VARIABLE_7964" $$unsorted)) % 0.46/0.66 (define @t295 () (= (tptp.vvar @t294) @t291)) % 0.46/0.66 (define @t296 () (not (= @t294 @t289))) % 0.46/0.66 (define @t297 () (or @t296 @t296 @t295)) % 0.46/0.66 (define @t298 () (@list @t294)) % 0.46/0.66 (define @t299 () (or @t296 @t295)) % 0.46/0.66 (define @t300 () (forall @t298 @t299)) % 0.46/0.66 (define @t301 () (forall @t290 @t300)) % 0.46/0.66 (define @t302 () (forall (@list @t289 @t294) @t299)) % 0.46/0.66 (define @t303 () (forall (@list @t294 @t289) @t299)) % 0.46/0.66 (define @t304 () (or (not @t5) @t4)) % 0.46/0.66 (define @t305 () (forall @t7 @t304)) % 0.46/0.66 (define @t306 () (@list @t2 @t1)) % 0.46/0.66 (define @t307 () (or (not @t4) @t5)) % 0.46/0.66 (define @t308 () (forall @t7 @t307)) % 0.46/0.66 (define @t309 () (and @t308 @t305)) % 0.46/0.66 (define @t310 () (= @t186 @t274)) % 0.46/0.66 (define @t311 () (or @t279 @t310)) % 0.46/0.66 (define @t312 () (tptp.vlookup @t26 @t68)) % 0.46/0.66 (define @t313 () (= @t71 @t312)) % 0.46/0.66 (define @t314 () (or @t66 @t313)) % 0.46/0.66 (define @t315 () (not (= @t312 @t312))) % 0.46/0.66 (define @t316 () (or @t66 @t315 (= @t312 @t71))) % 0.46/0.66 (define @t317 () (not (= @t56 @t312))) % 0.46/0.66 (define @t318 () (or @t317 @t66 @t317 @t72)) % 0.46/0.66 (define @t319 () (@list @t56)) % 0.46/0.66 (define @t320 () (or @t66 @t317 @t72)) % 0.46/0.66 (define @t321 () (forall @t319 @t320)) % 0.46/0.66 (define @t322 () (forall @t78 @t321)) % 0.46/0.66 (define @t323 () (forall (@list @t63 @t65 @t26 @t67 @t56) @t320)) % 0.46/0.66 (define @t324 () (@list @t63 @t65 @t56 @t26 @t67)) % 0.46/0.66 (define @t325 () (not (= @t68 @t68))) % 0.46/0.66 (define @t326 () (or @t325 @t66 @t317 @t72)) % 0.46/0.66 (define @t327 () (not (= @t56 (tptp.vlookup @t26 @t46)))) % 0.46/0.66 (define @t328 () (not @t69)) % 0.46/0.66 (define @t329 () (or @t328 @t328 @t66 @t327 @t72)) % 0.46/0.66 (define @t330 () (@list @t46)) % 0.46/0.66 (define @t331 () (or @t328 @t66 @t327 @t72)) % 0.46/0.66 (define @t332 () (forall @t330 @t331)) % 0.46/0.66 (define @t333 () (forall @t324 @t332)) % 0.46/0.66 (define @t334 () (forall (@list @t63 @t65 @t56 @t26 @t67 @t46) @t331)) % 0.46/0.66 (define @t335 () (@list @t63 @t65 @t46 @t56 @t26 @t67)) % 0.46/0.66 (define @t336 () (not (= @t26 @t26))) % 0.46/0.66 (define @t337 () (or @t336 @t328 @t66 @t327 @t72)) % 0.46/0.66 (define @t338 () (not @t60)) % 0.46/0.66 (define @t339 () (not @t62)) % 0.46/0.66 (define @t340 () (or @t339 @t339 @t328 @t66 @t338 @t72)) % 0.46/0.66 (define @t341 () (@list @t2)) % 0.46/0.66 (define @t342 () (or @t339 @t328 @t66 @t338 @t72)) % 0.46/0.66 (define @t343 () (forall @t341 @t342)) % 0.46/0.66 (define @t344 () (forall @t335 @t343)) % 0.46/0.66 (define @t345 () (forall (@list @t63 @t65 @t46 @t56 @t26 @t67 @t2) @t342)) % 0.46/0.66 (define @t346 () (or @t66 @t338 @t72)) % 0.46/0.66 (define @t347 () (tptp.vlookup @t186 @t181)) % 0.46/0.66 (define @t348 () (tptp.vlookup @t186 @t189)) % 0.46/0.66 (define @t349 () (or (= @t186 @t182) (= @t347 @t348))) % 0.46/0.66 (define @t350 () (forall @t78 @t314)) % 0.46/0.66 (define @t351 () (= @t348 @t347)) % 0.46/0.66 (define @t352 () (= @t182 @t186)) % 0.46/0.66 (define @t353 () (or @t352 @t351)) % 0.46/0.66 (define @t354 () (= @t348 @t230)) % 0.46/0.66 (define @t355 () (not @t354)) % 0.46/0.66 (define @t356 () (or @t355 @t190)) % 0.46/0.66 (define @t357 () (@list true false)) % 0.46/0.66 (define @t358 () (not @t351)) % 0.46/0.66 (define @t359 () (not @t310)) % 0.46/0.66 (define @t360 () (and @t355 @t275 @t310)) % 0.46/0.66 (define @t361 () (= tptp.vnoType @t230)) % 0.46/0.66 (define @t362 () (and @t184 @t275 @t310 @t352)) % 0.46/0.66 (assume @p1 @t8) % 0.46/0.66 (assume @p2 (forall (@list @t2 @t12 @t11 @t1 @t10 @t9) (and (=> @t14 @t17) (=> @t17 @t14)))) % 0.46/0.66 (assume @p3 (forall (@list @t11 @t9 @t19 @t18) (and (=> @t21 @t22) (=> @t22 @t21)))) % 0.46/0.66 (assume @p4 (forall (@list @t2 @t1 @t12 @t11) (not (= @t3 (tptp.vabs @t1 @t12 @t11))))) % 0.46/0.66 (assume @p5 (forall (@list @t2 @t11 @t9) (not (= @t3 @t20)))) % 0.46/0.66 (assume @p6 (forall (@list @t2 @t12 @t11 @t9 @t19) (not (= @t13 (tptp.vapp @t9 @t19))))) % 0.46/0.66 (assume @p7 (forall (@list @t26 @t25 @t24 @t11) (=> @t28 @t23))) % 0.46/0.66 (assume @p8 (forall (@list @t26 @t11) (=> @t31 @t29))) % 0.46/0.66 (assume @p9 (forall (@list @t33 @t32 @t11) (=> @t35 @t29))) % 0.46/0.66 (assume @p10 (forall (@list @t2 @t11 @t26 @t36) (=> (and @t39 @t31) (and (=> @t37 @t38) (=> @t38 @t37))))) % 0.46/0.66 (assume @p11 (forall (@list @t42 @t2 @t11 @t26 @t36 @t24) (=> (and @t39 (= @t11 (tptp.vabs @t26 @t42 @t24))) (and (=> @t41 @t38) (=> @t38 @t41))))) % 0.46/0.66 (assume @p12 (forall (@list @t2 @t11 @t33 @t36 @t32) (=> (and @t39 @t35) (and (=> @t43 @t38) (=> @t38 @t43))))) % 0.46/0.66 (assume @p13 (and (=> @t44 true) (=> true @t44))) % 0.46/0.66 (assume @p14 (forall (@list @t2 @t12 @t46 @t1 @t10 @t45) (and (=> @t48 @t49) (=> @t49 @t48)))) % 0.46/0.66 (assume @p15 (and (=> @t50 true) (=> true @t50))) % 0.46/0.66 (assume @p16 (forall (@list @t12 @t10) (and (=> @t52 @t16) (=> @t16 @t52)))) % 0.46/0.66 (assume @p17 (forall (@list @t2 @t12 @t46) (not (= tptp.vempty @t47)))) % 0.46/0.66 (assume @p18 (forall (@list @t12) (not (= tptp.vnoType @t51)))) % 0.46/0.66 (assume @p19 (forall (@list @t53) (=> (= @t53 tptp.vnoType) (not @t54)))) % 0.46/0.66 (assume @p20 (forall (@list @t24 @t53) (=> @t55 @t54))) % 0.46/0.66 (assume @p21 (forall (@list @t53 @t56 @t24) (=> @t55 (=> (= @t56 (tptp.vgetSomeType @t53)) @t57)))) % 0.46/0.66 (assume @p22 (forall (@list @t26 @t2 @t46 @t56) (=> (and @t62 @t61) (=> @t60 @t58)))) % 0.46/0.66 (assume @p23 (forall (@list @t67 @t26 @t65 @t2 @t46 @t56 @t63) (=> @t70 (=> @t66 (=> @t60 @t64))))) % 0.46/0.66 (assume @p24 @t77) % 0.46/0.66 (assume @p25 (forall (@list @t2 @t46 @t56) (=> (= @t59 @t56) (or (exists @t79 (and @t62 @t61 @t58)) (exists (@list @t67 @t26 @t65 @t63) (and @t62 @t69 @t66 @t64)) (exists @t78 (and @t62 @t69 @t74 @t72)))))) % 0.46/0.66 (assume @p26 (forall @t83 (=> (and @t66 @t82) (tptp.vtcheck @t81 @t24 @t42)))) % 0.46/0.66 (assume @p27 (forall @t83 (=> (and @t74 @t82) (tptp.vtcheck (tptp.vbind @t65 @t63 @t81) @t24 @t42)))) % 0.46/0.66 (assume @p28 (forall (@list @t36 @t24) (=> (= (tptp.vgensym @t24) @t36) (not @t40)))) % 0.46/0.66 (assume @p29 (forall (@list @t26 @t65 @t2 @t11 @t9 @t56 @t24) (=> @t89 (=> @t66 (=> @t85 @t57))))) % 0.46/0.66 (assume @p30 (forall (@list @t24 @t26 @t2 @t11 @t9 @t56 @t65) (=> @t89 (=> @t74 (=> @t85 @t90))))) % 0.46/0.66 (assume @p31 (forall (@list @t2 @t11 @t9 @t56 @t33 @t26 @t24 @t32) (=> (and @t62 @t88 @t93) (=> @t85 @t92)))) % 0.46/0.66 (assume @p32 (forall (@list @t24 @t26 @t2 @t11 @t9 @t56 @t65 @t42 @t33) (=> @t97 (=> @t66 (=> @t85 @t95))))) % 0.46/0.66 (assume @p33 (forall (@list @t2 @t11 @t9 @t56 @t26 @t24 @t42 @t65 @t98 @t33) (=> @t97 (=> (and @t74 @t101 @t100) (=> @t85 @t99))))) % 0.46/0.66 (assume @p34 (forall (@list @t2 @t11 @t9 @t56 @t65 @t42 @t26 @t24 @t33) (=> @t97 (=> (and @t74 @t103) (=> @t85 @t102))))) % 0.46/0.66 (assume @p35 (forall (@list @t2 @t11 @t9 @t56) (=> (= @t84 @t56) (or (exists (@list @t26 @t65 @t24) (and @t62 @t88 @t87 @t66 @t57)) (exists (@list @t24 @t26 @t65) (and @t62 @t88 @t87 @t74 @t90)) (exists (@list @t33 @t26 @t24 @t32) (and @t62 @t88 @t93 @t92)) (exists (@list @t24 @t26 @t65 @t42 @t33) (and @t62 @t88 @t96 @t66 @t95)) (exists (@list @t26 @t24 @t42 @t65 @t98 @t33) (and @t62 @t88 @t96 @t74 @t101 @t100 @t99)) (exists (@list @t65 @t42 @t26 @t24 @t33) (and @t62 @t88 @t96 @t74 @t103 @t102)))))) % 0.46/0.66 (assume @p36 (and (=> @t104 true) (=> true @t104))) % 0.46/0.66 (assume @p37 (forall (@list @t11 @t9) (and (=> @t106 @t15) (=> @t15 @t106)))) % 0.46/0.66 (assume @p38 (forall (@list @t11) (not (= tptp.vnoExp @t105)))) % 0.46/0.66 (assume @p39 (forall (@list @t107) (=> (= @t107 tptp.vnoExp) (not @t108)))) % 0.46/0.66 (assume @p40 (forall (@list @t24 @t107) (=> @t109 @t108))) % 0.46/0.66 (assume @p41 (forall (@list @t107 @t56 @t24) (=> @t109 (=> (= @t56 (tptp.vgetSomeExp @t107)) @t57)))) % 0.46/0.66 (assume @p42 (forall (@list @t26 @t11 @t56) (=> @t31 @t113))) % 0.46/0.66 (assume @p43 (forall (@list @t26 @t25 @t24 @t11 @t56) (=> @t28 @t113))) % 0.46/0.66 (assume @p44 (forall (@list @t32 @t11 @t56 @t26 @t25 @t33 @t114) (=> @t119 (=> (and @t118 @t117) (=> @t112 @t116))))) % 0.46/0.66 (assume @p45 (forall (@list @t25 @t114 @t11 @t56 @t26 @t32 @t33) (=> @t119 (=> (and @t118 @t122 @t121) (=> @t112 @t120))))) % 0.46/0.66 (assume @p46 (forall (@list @t26 @t25 @t33 @t114 @t32 @t11 @t56) (=> @t119 (=> (and @t118 @t122 @t123) @t113)))) % 0.46/0.66 (assume @p47 (forall (@list @t33 @t11 @t56 @t124 @t32) (=> @t132 (=> (and @t127 @t126) (=> @t112 @t125))))) % 0.46/0.66 (assume @p48 (forall (@list @t32 @t33 @t124 @t11 @t56) (=> @t132 (=> (and @t127 @t133) @t113)))) % 0.46/0.66 (assume @p49 (forall (@list @t11 @t56) (=> (= @t111 @t56) (or (exists @t79 (and @t31 @t110)) (exists (@list @t26 @t25 @t24) (and @t28 @t110)) (exists (@list @t32 @t26 @t25 @t33 @t114) (and @t119 @t118 @t117 @t116)) (exists (@list @t25 @t114 @t26 @t32 @t33) (and @t119 @t118 @t122 @t121 @t120)) (exists (@list @t26 @t25 @t33 @t114 @t32) (and @t119 @t118 @t122 @t123 @t110)) (exists (@list @t33 @t124 @t32) (and @t35 @t131 @t127 @t126 @t125)) (exists (@list @t32 @t33 @t124) (and @t35 @t131 @t127 @t133 @t110)))))) % 0.46/0.66 (assume @p50 (forall (@list @t12 @t10 @t135 @t134) (and (=> @t136 @t137) (=> @t137 @t136)))) % 0.46/0.66 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trans :premises (@p306 @p297)) % 0.46/0.66 (step @p308 :rule aci_norm :args ((= (or false @t66 @t317 @t72) @t320))) % 0.46/0.66 (step @p309 :rule refl :args (@t72)) % 0.46/0.66 (step @p310 :rule refl :args (@t317)) % 0.46/0.66 (step @p311 :rule eq-refl :args (@t68)) % 0.46/0.66 (step @p312 :rule cong :premises (@p311) :args (@t325)) % 0.46/0.66 (step @p313 :rule trans :premises (@p312 @p246)) % 0.46/0.66 (step @p314 :rule nary_cong :premises (@p313 @p294 @p310 @p309) :args (@t326)) % 0.46/0.66 (step @p315 :rule trans :premises (@p314 @p308)) % 0.46/0.66 (step @p316 :rule cong :premises (@p315) :args ((forall @t324 @t326))) % 0.46/0.66 (step @p317 :rule trans :premises (@p316 @p307)) % 0.46/0.66 (step @p318 :rule quant-var-elim-eq :args ((= (forall @t330 @t329) @t326))) % 0.46/0.66 (step @p319 :rule aci_norm :args ((= @t331 @t329))) % 0.46/0.66 (step @p320 :rule cong :premises (@p319) :args (@t332)) % 0.46/0.66 (step @p321 :rule trans :premises (@p320 @p318)) % 0.46/0.66 (step @p322 :rule cong :premises (@p321) :args (@t333)) % 0.46/0.66 (step @p323 :rule quant-merge-prenex :args ((= @t333 @t334))) % 0.46/0.66 (step @p324 :rule symm :premises (@p323)) % 0.46/0.66 (step @p325 :rule quant_var_reordering :args ((= (forall @t335 @t331) @t334))) % 0.46/0.66 (step @p326 :rule trans :premises (@p325 @p324 @p322)) % 0.46/0.66 (step @p327 :rule trans :premises (@p326 @p317)) % 0.46/0.66 (step @p328 :rule aci_norm :args ((= (or false @t328 @t66 @t327 @t72) @t331))) % 0.46/0.66 (step @p329 :rule refl :args (@t327)) % 0.46/0.66 (step @p330 :rule refl :args (@t328)) % 0.46/0.66 (step @p331 :rule eq-refl :args (@t26)) % 0.46/0.66 (step @p332 :rule cong :premises (@p331) :args (@t336)) % 0.46/0.66 (step @p333 :rule trans :premises (@p332 @p246)) % 0.46/0.66 (step @p334 :rule nary_cong :premises (@p333 @p330 @p294 @p329 @p309) :args (@t337)) % 0.46/0.66 (step @p335 :rule trans :premises (@p334 @p328)) % 0.46/0.66 (step @p336 :rule cong :premises (@p335) :args ((forall @t335 @t337))) % 0.46/0.66 (step @p337 :rule trans :premises (@p336 @p327)) % 0.46/0.66 (step @p338 :rule quant-var-elim-eq :args ((= (forall @t341 @t340) @t337))) % 0.46/0.66 (step @p339 :rule aci_norm :args ((= @t342 @t340))) % 0.46/0.66 (step @p340 :rule cong :premises (@p339) :args (@t343)) % 0.46/0.66 (step @p341 :rule trans :premises (@p340 @p338)) % 0.46/0.66 (step @p342 :rule cong :premises (@p341) :args (@t344)) % 0.46/0.66 (step @p343 :rule quant-merge-prenex :args ((= @t344 @t345))) % 0.46/0.66 (step @p344 :rule symm :premises (@p343)) % 0.46/0.66 (step @p345 :rule quant_var_reordering :args ((= (forall @t76 @t342) @t345))) % 0.46/0.66 (step @p346 :rule trans :premises (@p345 @p344 @p342)) % 0.46/0.66 (step @p347 :rule trans :premises (@p346 @p337)) % 0.46/0.66 (step @p348 :rule aci_norm :args ((= (or (or @t339 @t328) @t346) @t342))) % 0.46/0.66 (step @p349 :rule aci_norm :args ((= (or @t66 (or @t338 @t72)) @t346))) % 0.46/0.66 (step @p350 :rule bool-impl-elim :args (@t60 @t72)) % 0.46/0.66 (step @p351 :rule refl :args (@t66)) % 0.46/0.66 (step @p352 :rule nary_cong :premises (@p351 @p350) :args ((or @t66 @t73))) % 0.46/0.66 (step @p353 :rule trans :premises (@p352 @p349)) % 0.46/0.66 (step @p354 :rule refl :args (@t73)) % 0.46/0.66 (step @p355 :rule bool-double-not-elim :args (@t66)) % 0.46/0.66 (step @p356 :rule nary_cong :premises (@p355 @p354) :args ((or (not @t74) @t73))) % 0.46/0.66 (step @p357 :rule bool-impl-elim :args (@t74 @t73)) % 0.46/0.66 (step @p358 :rule trans :premises (@p357 @p356)) % 0.46/0.66 (step @p359 :rule trans :premises (@p358 @p353)) % 0.46/0.66 (step @p360 :rule bool-and-de-morgan :args (@t62 @t69 true)) % 0.46/0.66 (step @p361 :rule nary_cong :premises (@p360 @p359) :args ((or (not @t70) @t75))) % 0.46/0.66 (step @p362 :rule trans :premises (@p361 @p348)) % 0.46/0.66 (step @p363 :rule bool-impl-elim :args (@t70 @t75)) % 0.46/0.66 (step @p364 :rule trans :premises (@p363 @p362)) % 0.46/0.66 (step @p365 :rule cong :premises (@p364) :args (@t77)) % 0.46/0.66 (step @p366 :rule trans :premises (@p365 @p347)) % 0.46/0.66 (step @p367 :rule eq_resolve :premises (@p24 @p366)) % 0.46/0.66 (step @p368 :rule eq-symm :args (@t347 @t348)) % 0.46/0.66 (step @p369 :rule eq-symm :args (@t186 @t182)) % 0.46/0.66 (step @p370 :rule nary_cong :premises (@p369 @p368) :args (@t349)) % 0.46/0.66 (step @p371 :rule refl :args (@t350)) % 0.46/0.66 (step @p372 :rule cong :premises (@p371 @p370) :args ((=> @t350 @t349))) % 0.46/0.66 (assume-push @p463 @t350) % 0.46/0.66 (step @p374 :rule instantiate :premises (@p367) :args ((@list @t188 @t182 @t186 @t181))) % 0.46/0.66 (step-pop @p464 :rule scope :premises (@p374)) % 0.46/0.66 (step @p375 :rule process_scope :premises (@p464) :args (@t349)) % 0.46/0.66 (step @p377 :rule eq_resolve :premises (@p375 @p372)) % 0.46/0.66 (step @p378 :rule implies_elim :premises (@p377)) % 0.46/0.66 (step @p379 :rule chain_m_resolution :premises (@p378 @p367) :args (@t353 @t245 (@list @t350))) % 0.46/0.66 (step @p380 :rule bool-impl-elim :args (@t139 @t138)) % 0.46/0.66 (step @p381 :rule cong :premises (@p380) :args (@t140)) % 0.46/0.66 (step @p382 :rule eq_resolve :premises (@p51 @p381)) % 0.46/0.66 (step @p383 :rule instantiate :premises (@p382) :args ((@list @t189 @t186 @t185))) % 0.46/0.66 (step @p384 :rule cnf_or_neg :args (@t194 2)) % 0.46/0.66 (step @p385 :rule chain_m_resolution :premises (@p384 @p74) :args ((not @t190) @t195 @t196)) % 0.46/0.66 (step @p386 :rule cnf_or_pos :args (@t356)) % 0.46/0.66 (step @p387 :rule reordering :premises (@p386) :args ((or @t190 @t355 (not @t356)))) % 0.46/0.66 (step @p388 :rule chain_m_resolution :premises (@p387 @p385 @p383) :args (@t355 @t357 (@list @t190 @t356))) % 0.46/0.66 (step @p389 :rule refl :args (@t358)) % 0.46/0.66 (step @p390 :rule refl :args (@t359)) % 0.46/0.66 (step @p391 :rule bool-double-not-elim :args (@t354)) % 0.46/0.66 (step @p392 :rule nary_cong :premises (@p391 @p220 @p390 @p389) :args ((or (not @t355) @t276 @t359 @t358))) % 0.46/0.66 (assume-push @p465 @t355) % 0.46/0.66 (assume-push @p466 @t275) % 0.46/0.66 (assume-push @p467 @t310) % 0.46/0.66 (assume-push @p468 @t355) % 0.46/0.66 (assume-push @p469 @t275) % 0.46/0.66 (assume-push @p470 @t310) % 0.46/0.66 (step @p399 :rule false_intro :premises (@p388)) % 0.46/0.66 (step @p400 :rule symm :premises (@p466)) % 0.46/0.66 (step @p401 :rule refl :args (@t181)) % 0.46/0.66 (step @p402 :rule cong :premises (@p467 @p401) :args (@t347)) % 0.46/0.66 (step @p403 :rule trans :premises (@p402 @p400)) % 0.46/0.66 (step @p404 :rule refl :args (@t348)) % 0.46/0.66 (step @p405 :rule cong :premises (@p404 @p403) :args (@t351)) % 0.46/0.66 (step @p406 :rule trans :premises (@p405 @p399)) % 0.46/0.66 (step @p407 :rule false_elim :premises (@p406)) % 0.46/0.66 (step-pop @p471 :rule scope :premises (@p407)) % 0.46/0.66 (step-pop @p472 :rule scope :premises (@p471)) % 0.46/0.66 (step-pop @p473 :rule scope :premises (@p472)) % 0.46/0.66 (step @p408 :rule process_scope :premises (@p473) :args (@t358)) % 0.46/0.66 (step @p412 :rule and_intro :premises (@p388 @p466 @p467)) % 0.46/0.66 (step @p413 :rule modus_ponens :premises (@p412 @p408)) % 0.46/0.66 (step-pop @p474 :rule scope :premises (@p413)) % 0.46/0.66 (step-pop @p475 :rule scope :premises (@p474)) % 0.46/0.66 (step-pop @p476 :rule scope :premises (@p475)) % 0.46/0.66 (step @p414 :rule process_scope :premises (@p476) :args (@t358)) % 0.46/0.66 (step @p418 :rule implies_elim :premises (@p414)) % 0.46/0.66 (step @p419 :rule cnf_and_neg :args (@t360)) % 0.46/0.66 (step @p420 :rule resolution :premises (@p419 @p418) :args (true @t360)) % 0.46/0.66 (step @p421 :rule eq_resolve :premises (@p420 @p392)) % 0.46/0.66 (step @p422 :rule chain_m_resolution :premises (@p421 @p388 @p241 @p288) :args (@t358 (@list true false false) (@list @t354 @t275 @t310))) % 0.46/0.66 (step @p423 :rule cnf_or_pos :args (@t353)) % 0.46/0.66 (step @p424 :rule reordering :premises (@p423) :args ((or @t352 @t351 (not @t353)))) % 0.46/0.66 (step @p425 :rule chain_m_resolution :premises (@p424 @p422 @p379) :args (@t352 @t357 (@list @t351 @t353))) % 0.46/0.66 (assume-push @p477 @t184) % 0.46/0.66 (assume-push @p478 @t275) % 0.46/0.66 (assume-push @p479 @t310) % 0.46/0.66 (assume-push @p480 @t352) % 0.46/0.66 (assume-push @p481 @t275) % 0.46/0.66 (assume-push @p482 @t310) % 0.46/0.66 (assume-push @p483 @t352) % 0.46/0.66 (assume-push @p484 @t184) % 0.46/0.66 (step @p434 :rule symm :premises (@p478)) % 0.46/0.66 (step @p401 :rule refl :args (@t181)) % 0.46/0.66 (step @p435 :rule trans :premises (@p480 @p479)) % 0.46/0.66 (step @p436 :rule cong :premises (@p435 @p401) :args (@t183)) % 0.46/0.66 (step @p437 :rule trans :premises (@p81 @p436 @p434)) % 0.46/0.66 (step-pop @p485 :rule scope :premises (@p437)) % 0.46/0.66 (step-pop @p486 :rule scope :premises (@p485)) % 0.46/0.66 (step-pop @p487 :rule scope :premises (@p486)) % 0.46/0.66 (step-pop @p488 :rule scope :premises (@p487)) % 0.46/0.66 (step @p438 :rule process_scope :premises (@p488) :args (@t361)) % 0.46/0.66 (step @p443 :rule and_intro :premises (@p478 @p479 @p480 @p81)) % 0.46/0.66 (step @p444 :rule modus_ponens :premises (@p443 @p438)) % 0.46/0.66 (step-pop @p489 :rule scope :premises (@p444)) % 0.46/0.66 (step-pop @p490 :rule scope :premises (@p489)) % 0.46/0.66 (step-pop @p491 :rule scope :premises (@p490)) % 0.46/0.66 (step-pop @p492 :rule scope :premises (@p491)) % 0.46/0.66 (step @p445 :rule process_scope :premises (@p492) :args (@t361)) % 0.46/0.66 (step @p450 :rule implies_elim :premises (@p445)) % 0.46/0.66 (step @p451 :rule cnf_and_neg :args (@t362)) % 0.46/0.66 (step @p452 :rule resolution :premises (@p451 @p450) :args (true @t362)) % 0.46/0.66 (step @p453 :rule reordering :premises (@p452) :args ((or @t193 @t276 @t361 @t359 (not @t352)))) % 0.46/0.66 (step @p454 false :rule chain_m_resolution :premises (@p453 @p425 @p288 @p241 @p82 @p81) :args (false (@list false false false true false) (@list @t352 @t310 @t275 @t361 @t184))) % 0.46/0.66 ) % 0.46/0.66 % SZS output end Proof % 0.46/0.66 % cvc5 exiting %------------------------------------------------------------------------------