%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM534+1 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n025.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 08:39:45 AM UTC 2026 % Result : Theorem 0.46s 0.65s % Output : Proof 0.46s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM534+1 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n025.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 11:28:01 EDT 2026 % 0.17/0.34 % CPUTime : % 0.29/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.46/0.65 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.46/0.65 % SZS status Theorem % 0.46/0.65 % SZS output start Proof % 0.46/0.65 ( % 0.46/0.65 (declare-sort $$unsorted 0) % 0.46/0.65 (declare-const tptp.xx $$unsorted) % 0.46/0.65 (declare-const tptp.xS $$unsorted) % 0.46/0.65 (declare-const tptp.sdtmndt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.65 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.65 (declare-const tptp.slcrc0 $$unsorted) % 0.46/0.65 (declare-const tptp.isCountable0 (-> $$unsorted Bool)) % 0.46/0.65 (declare-const tptp.isFinite0 (-> $$unsorted Bool)) % 0.46/0.65 (declare-const tptp.aElementOf0 (-> $$unsorted $$unsorted Bool)) % 0.46/0.65 (declare-const tptp.aSubsetOf0 (-> $$unsorted $$unsorted Bool)) % 0.46/0.65 (declare-const tptp.aElement0 (-> $$unsorted Bool)) % 0.46/0.65 (declare-const tptp.aSet0 (-> $$unsorted Bool)) % 0.46/0.65 (define @t1 () (@var "W0" $$unsorted)) % 0.46/0.65 (define @t2 () (tptp.aSet0 @t1)) % 0.46/0.65 (define @t3 () (@list @t1)) % 0.46/0.65 (define @t4 () (@var "W1" $$unsorted)) % 0.46/0.65 (define @t5 () (tptp.aElement0 @t4)) % 0.46/0.65 (define @t6 () (tptp.aElementOf0 @t4 @t1)) % 0.46/0.65 (define @t7 () (@list @t4)) % 0.46/0.65 (define @t8 () (forall @t7 (=> @t6 @t5))) % 0.46/0.65 (define @t9 () (=> @t2 @t8)) % 0.46/0.65 (define @t10 () (forall @t3 @t9)) % 0.46/0.65 (define @t11 () (tptp.isFinite0 @t1)) % 0.46/0.65 (define @t12 () (= @t1 tptp.slcrc0)) % 0.46/0.65 (define @t13 () (tptp.isCountable0 @t1)) % 0.46/0.65 (define @t14 () (and @t2 @t13)) % 0.46/0.65 (define @t15 () (@var "W2" $$unsorted)) % 0.46/0.65 (define @t16 () (@list @t15)) % 0.46/0.65 (define @t17 () (tptp.aSet0 @t4)) % 0.46/0.65 (define @t18 () (tptp.aSubsetOf0 @t4 @t1)) % 0.46/0.65 (define @t19 () (tptp.aSubsetOf0 @t1 @t4)) % 0.46/0.65 (define @t20 () (@list @t1 @t4)) % 0.46/0.65 (define @t21 () (tptp.aSet0 @t15)) % 0.46/0.65 (define @t22 () (@var "W3" $$unsorted)) % 0.46/0.65 (define @t23 () (= @t22 @t4)) % 0.46/0.65 (define @t24 () (tptp.aElementOf0 @t22 @t1)) % 0.46/0.65 (define @t25 () (or @t24 @t23)) % 0.46/0.65 (define @t26 () (tptp.aElement0 @t22)) % 0.46/0.65 (define @t27 () (and @t26 @t25)) % 0.46/0.65 (define @t28 () (tptp.aElementOf0 @t22 @t15)) % 0.46/0.65 (define @t29 () (= @t28 @t27)) % 0.46/0.65 (define @t30 () (@list @t22)) % 0.46/0.65 (define @t31 () (forall @t30 @t29)) % 0.46/0.65 (define @t32 () (and @t21 @t31)) % 0.46/0.65 (define @t33 () (tptp.sdtpldt0 @t1 @t4)) % 0.46/0.65 (define @t34 () (= @t15 @t33)) % 0.46/0.65 (define @t35 () (= @t34 @t32)) % 0.46/0.65 (define @t36 () (forall @t16 @t35)) % 0.46/0.65 (define @t37 () (and @t2 @t5)) % 0.46/0.65 (define @t38 () (=> @t37 @t36)) % 0.46/0.65 (define @t39 () (forall @t20 @t38)) % 0.46/0.65 (define @t40 () (not @t23)) % 0.46/0.65 (define @t41 () (and @t26 @t24 @t40)) % 0.46/0.65 (define @t42 () (= @t28 @t41)) % 0.46/0.65 (define @t43 () (forall @t30 @t42)) % 0.46/0.65 (define @t44 () (and @t21 @t43)) % 0.46/0.65 (define @t45 () (tptp.sdtmndt0 @t1 @t4)) % 0.46/0.65 (define @t46 () (= @t15 @t45)) % 0.46/0.65 (define @t47 () (= @t46 @t44)) % 0.46/0.65 (define @t48 () (forall @t16 @t47)) % 0.46/0.65 (define @t49 () (=> @t37 @t48)) % 0.46/0.65 (define @t50 () (forall @t20 @t49)) % 0.46/0.65 (define @t51 () (tptp.aSet0 tptp.xS)) % 0.46/0.65 (define @t52 () (tptp.aElementOf0 tptp.xx tptp.xS)) % 0.46/0.65 (define @t53 () (tptp.sdtmndt0 tptp.xS tptp.xx)) % 0.46/0.65 (define @t54 () (tptp.sdtpldt0 @t53 tptp.xx)) % 0.46/0.65 (define @t55 () (= @t54 tptp.xS)) % 0.46/0.65 (define @t56 () (@var "BOUND_VARIABLE_7666" $$unsorted)) % 0.46/0.65 (define @t57 () (tptp.aElementOf0 @t22 @t56)) % 0.46/0.65 (define @t58 () (= @t4 @t22)) % 0.46/0.65 (define @t59 () (and @t26 (or @t24 @t58))) % 0.46/0.65 (define @t60 () (forall @t30 (= @t57 @t59))) % 0.46/0.65 (define @t61 () (tptp.aSet0 @t56)) % 0.46/0.65 (define @t62 () (and @t61 @t60)) % 0.46/0.65 (define @t63 () (= (= @t56 @t33) @t62)) % 0.46/0.65 (define @t64 () (not @t5)) % 0.46/0.65 (define @t65 () (not @t2)) % 0.46/0.65 (define @t66 () (or @t65 @t64 @t63)) % 0.46/0.65 (define @t67 () (@list @t1 @t4 @t56)) % 0.46/0.65 (define @t68 () (forall @t67 @t66)) % 0.46/0.65 (define @t69 () (@list @t56)) % 0.46/0.65 (define @t70 () (forall @t69 @t66)) % 0.46/0.65 (define @t71 () (forall @t69 @t63)) % 0.46/0.65 (define @t72 () (@list @t15)) % 0.46/0.65 (define @t73 () (or @t65 @t64 @t71)) % 0.46/0.65 (define @t74 () (forall @t16 (= @t34 (and @t21 (forall @t30 (= @t28 @t59)))))) % 0.46/0.65 (define @t75 () (or @t65 @t64 @t74)) % 0.46/0.65 (define @t76 () (or @t65 @t64)) % 0.46/0.65 (define @t77 () (not @t37)) % 0.46/0.65 (define @t78 () (tptp.aElementOf0 @t22 @t53)) % 0.46/0.65 (define @t79 () (= tptp.xx @t22)) % 0.46/0.65 (define @t80 () (or @t78 @t79)) % 0.46/0.65 (define @t81 () (and @t26 @t80)) % 0.46/0.65 (define @t82 () (tptp.aElementOf0 @t22 tptp.xS)) % 0.46/0.65 (define @t83 () (forall @t30 (= @t81 @t82))) % 0.46/0.65 (define @t84 () (and @t51 @t83)) % 0.46/0.65 (define @t85 () (= @t55 @t84)) % 0.46/0.65 (define @t86 () (tptp.aElement0 tptp.xx)) % 0.46/0.65 (define @t87 () (not @t86)) % 0.46/0.65 (define @t88 () (tptp.aSet0 @t53)) % 0.46/0.65 (define @t89 () (not @t88)) % 0.46/0.65 (define @t90 () (or @t89 @t87 @t85)) % 0.46/0.65 (define @t91 () (forall @t67 (or @t65 @t64 (= (= @t33 @t56) (and @t61 (forall @t30 (= @t59 @t57))))))) % 0.46/0.65 (define @t92 () (= @t22 tptp.xx)) % 0.46/0.65 (define @t93 () (forall @t30 (= @t82 (and @t26 (or @t78 @t92))))) % 0.46/0.65 (define @t94 () (and @t51 @t93)) % 0.46/0.65 (define @t95 () (= tptp.xS @t54)) % 0.46/0.65 (define @t96 () (= @t95 @t94)) % 0.46/0.65 (define @t97 () (or @t89 @t87 @t96)) % 0.46/0.65 (define @t98 () (@list false)) % 0.46/0.65 (define @t99 () (@var "BOUND_VARIABLE_7697" $$unsorted)) % 0.46/0.65 (define @t100 () (tptp.aElementOf0 @t22 @t99)) % 0.46/0.65 (define @t101 () (and @t26 @t24 (not @t58))) % 0.46/0.65 (define @t102 () (forall @t30 (= @t100 @t101))) % 0.46/0.65 (define @t103 () (tptp.aSet0 @t99)) % 0.46/0.65 (define @t104 () (and @t103 @t102)) % 0.46/0.65 (define @t105 () (= (= @t99 @t45) @t104)) % 0.46/0.65 (define @t106 () (or @t65 @t64 @t105)) % 0.46/0.65 (define @t107 () (@list @t1 @t4 @t99)) % 0.46/0.65 (define @t108 () (forall @t107 @t106)) % 0.46/0.65 (define @t109 () (@list @t99)) % 0.46/0.65 (define @t110 () (forall @t109 @t106)) % 0.46/0.65 (define @t111 () (forall @t109 @t105)) % 0.46/0.65 (define @t112 () (or @t65 @t64 @t111)) % 0.46/0.65 (define @t113 () (forall @t16 (= @t46 (and @t21 (forall @t30 (= @t28 @t101)))))) % 0.46/0.65 (define @t114 () (or @t65 @t64 @t113)) % 0.46/0.65 (define @t115 () (forall @t30 (= (and @t26 @t82 (not @t92)) @t78))) % 0.46/0.65 (define @t116 () (and @t88 @t115)) % 0.46/0.65 (define @t117 () (not @t79)) % 0.46/0.65 (define @t118 () (and @t26 @t82 @t117)) % 0.46/0.65 (define @t119 () (= @t118 @t78)) % 0.46/0.65 (define @t120 () (forall @t30 @t119)) % 0.46/0.65 (define @t121 () (and @t88 @t120)) % 0.46/0.65 (define @t122 () (= (= @t53 @t53) @t121)) % 0.46/0.65 (define @t123 () (not @t51)) % 0.46/0.65 (define @t124 () (or @t123 @t87 @t122)) % 0.46/0.65 (define @t125 () (forall @t107 (or @t65 @t64 (= (= @t45 @t99) (and @t103 (forall @t30 (= @t101 @t100))))))) % 0.46/0.65 (define @t126 () (or @t123 @t87 @t116)) % 0.46/0.65 (define @t127 () (@var "BOUND_VARIABLE_7544" $$unsorted)) % 0.46/0.65 (define @t128 () (tptp.aElement0 @t127)) % 0.46/0.65 (define @t129 () (not (tptp.aElementOf0 @t127 @t1))) % 0.46/0.65 (define @t130 () (or @t129 @t128)) % 0.46/0.65 (define @t131 () (or @t65 @t130)) % 0.46/0.65 (define @t132 () (forall (@list @t1 @t127) @t131)) % 0.46/0.65 (define @t133 () (@list @t127)) % 0.46/0.65 (define @t134 () (forall @t133 @t131)) % 0.46/0.65 (define @t135 () (forall @t133 @t130)) % 0.46/0.65 (define @t136 () (or @t65 @t135)) % 0.46/0.65 (define @t137 () (forall @t7 (or (not @t6) @t5))) % 0.46/0.65 (define @t138 () (not @t52)) % 0.46/0.65 (define @t139 () (or @t123 @t138 @t86)) % 0.46/0.65 (define @t140 () (@list false false false)) % 0.46/0.65 (define @t141 () (not @t116)) % 0.46/0.65 (define @t142 () (@list @t116)) % 0.46/0.65 (define @t143 () (not @t94)) % 0.46/0.65 (define @t144 () (@list true false)) % 0.46/0.65 (define @t145 () (not @t93)) % 0.46/0.65 (define @t146 () (@quantifiers_skolemize @t93 0)) % 0.46/0.65 (define @t147 () (= tptp.xx @t146)) % 0.46/0.65 (define @t148 () (tptp.aElementOf0 @t146 @t53)) % 0.46/0.65 (define @t149 () (or @t148 @t147)) % 0.46/0.65 (define @t150 () (tptp.aElement0 @t146)) % 0.46/0.65 (define @t151 () (and @t150 @t149)) % 0.46/0.65 (define @t152 () (tptp.aElementOf0 @t146 tptp.xS)) % 0.46/0.65 (define @t153 () (= @t152 @t151)) % 0.46/0.65 (define @t154 () (not @t153)) % 0.46/0.65 (define @t155 () (= @t146 tptp.xx)) % 0.46/0.65 (define @t156 () (or @t148 @t155)) % 0.46/0.65 (define @t157 () (and @t150 @t156)) % 0.46/0.65 (define @t158 () (= @t152 @t157)) % 0.46/0.65 (define @t159 () (not @t158)) % 0.46/0.65 (define @t160 () (@list true)) % 0.46/0.65 (define @t161 () (not @t152)) % 0.46/0.65 (define @t162 () (or @t123 @t161 @t150)) % 0.46/0.65 (define @t163 () (not @t155)) % 0.46/0.65 (define @t164 () (and @t150 @t152 @t163)) % 0.46/0.65 (define @t165 () (= @t164 @t148)) % 0.46/0.65 (define @t166 () (@list @t146)) % 0.46/0.65 (define @t167 () (not @t147)) % 0.46/0.65 (define @t168 () (and @t150 @t152 @t167)) % 0.46/0.65 (define @t169 () (= @t148 @t168)) % 0.46/0.65 (define @t170 () (not @t169)) % 0.46/0.65 (define @t171 () (not @t168)) % 0.46/0.65 (define @t172 () (not @t150)) % 0.46/0.65 (define @t173 () (forall @t30 (= @t82 (and @t26 (or @t82 @t92))))) % 0.46/0.65 (define @t174 () (@quantifiers_skolemize @t173 0)) % 0.46/0.65 (define @t175 () (= tptp.xx @t174)) % 0.46/0.65 (define @t176 () (tptp.aElementOf0 @t174 tptp.xS)) % 0.46/0.65 (define @t177 () (or @t176 @t175)) % 0.46/0.65 (define @t178 () (tptp.aElement0 @t174)) % 0.46/0.65 (define @t179 () (and @t178 @t177)) % 0.46/0.65 (define @t180 () (= @t176 @t179)) % 0.46/0.65 (define @t181 () (not @t176)) % 0.46/0.65 (define @t182 () (or @t123 @t181 @t178)) % 0.46/0.65 (define @t183 () (not @t175)) % 0.46/0.65 (define @t184 () (and @t181 @t175 @t52)) % 0.46/0.65 (define @t185 () (not @t180)) % 0.46/0.65 (define @t186 () (not @t173)) % 0.46/0.65 (define @t187 () (or @t176 (= @t174 tptp.xx))) % 0.46/0.65 (define @t188 () (and @t178 @t187)) % 0.46/0.65 (define @t189 () (= @t176 @t188)) % 0.46/0.65 (define @t190 () (not @t189)) % 0.46/0.65 (define @t191 () (or @t152 @t155)) % 0.46/0.65 (define @t192 () (and @t150 @t191)) % 0.46/0.65 (define @t193 () (= @t152 @t192)) % 0.46/0.65 (define @t194 () (or @t152 @t147)) % 0.46/0.65 (define @t195 () (and @t150 @t194)) % 0.46/0.65 (define @t196 () (= @t152 @t195)) % 0.46/0.65 (define @t197 () (not @t148)) % 0.46/0.65 (define @t198 () (or @t197 @t152)) % 0.46/0.65 (define @t199 () (not @t198)) % 0.46/0.65 (define @t200 () (not @t151)) % 0.46/0.65 (define @t201 () (@list @t152)) % 0.46/0.65 (assume @p1 (forall @t3 (=> @t2 true))) % 0.46/0.65 (assume @p2 (forall @t3 (=> (tptp.aElement0 @t1) true))) % 0.46/0.65 (assume @p3 @t10) % 0.46/0.65 (assume @p4 (forall @t3 (=> @t2 (=> @t11 true)))) % 0.46/0.65 (assume @p5 (forall @t3 (= @t12 (and @t2 (not (exists @t7 @t6)))))) % 0.46/0.65 (assume @p6 (tptp.isFinite0 tptp.slcrc0)) % 0.46/0.65 (assume @p7 (forall @t3 (=> @t2 (=> @t13 true)))) % 0.46/0.65 (assume @p8 (forall @t3 (=> @t14 (not @t11)))) % 0.46/0.65 (assume @p9 (forall @t3 (=> @t14 (not @t12)))) % 0.46/0.65 (assume @p10 (forall @t3 (=> @t2 (forall @t7 (= @t18 (and @t17 (forall @t16 (=> (tptp.aElementOf0 @t15 @t4) (tptp.aElementOf0 @t15 @t1))))))))) % 0.46/0.65 (assume @p11 (forall @t3 (=> (and @t2 @t11) (forall @t7 (=> @t18 (tptp.isFinite0 @t4)))))) % 0.46/0.65 (assume @p12 (forall @t3 (=> @t2 (tptp.aSubsetOf0 @t1 @t1)))) % 0.46/0.65 (assume @p13 (forall @t20 (=> (and @t2 @t17) (=> (and @t19 @t18) (= @t1 @t4))))) % 0.46/0.65 (assume @p14 (forall (@list @t1 @t4 @t15) (=> (and @t2 @t17 @t21) (=> (and @t19 (tptp.aSubsetOf0 @t4 @t15)) (tptp.aSubsetOf0 @t1 @t15))))) % 0.46/0.65 (assume @p15 @t39) % 0.46/0.65 (assume @p16 @t50) % 0.46/0.65 (assume @p17 @t51) % 0.46/0.65 (assume @p18 @t52) % 0.46/0.65 (assume @p19 (not @t55)) % 0.46/0.65 (assume @p20 true) % 0.46/0.65 (step @p21 :rule eq-symm :args (@t57 @t59)) % 0.46/0.65 (step @p22 :rule cong :premises (@p21) :args (@t60)) % 0.46/0.65 (step @p23 :rule refl :args (@t61)) % 0.46/0.65 (step @p24 :rule nary_cong :premises (@p23 @p22) :args (@t62)) % 0.46/0.65 (step @p25 :rule eq-symm :args (@t56 @t33)) % 0.46/0.65 (step @p26 :rule cong :premises (@p25 @p24) :args (@t63)) % 0.46/0.65 (step @p27 :rule refl :args (@t64)) % 0.46/0.65 (step @p28 :rule refl :args (@t65)) % 0.46/0.65 (step @p29 :rule nary_cong :premises (@p28 @p27 @p26) :args (@t66)) % 0.46/0.65 (step @p30 :rule cong :premises (@p29) :args (@t68)) % 0.46/0.65 (step @p31 :rule quant-merge-prenex :args ((= (forall @t20 @t70) @t68))) % 0.46/0.65 (step @p32 :rule alpha_equiv :args (@t71 (@list @t56) @t72)) % 0.46/0.65 (step @p33 :rule refl :args (@t64)) % 0.46/0.65 (step @p34 :rule refl :args (@t65)) % 0.46/0.65 (step @p35 :rule nary_cong :premises (@p34 @p33 @p32) :args (@t73)) % 0.46/0.65 (step @p36 :rule quant-miniscope-or :args ((= @t70 @t73))) % 0.46/0.65 (step @p37 :rule trans :premises (@p36 @p35)) % 0.46/0.65 (step @p38 :rule symm :premises (@p37)) % 0.46/0.65 (step @p39 :rule cong :premises (@p38) :args ((forall @t20 @t75))) % 0.46/0.65 (step @p40 :rule trans :premises (@p39 @p31)) % 0.46/0.65 (step @p41 :rule trans :premises (@p40 @p30)) % 0.46/0.65 (step @p42 :rule aci_norm :args ((= (or @t76 @t74) @t75))) % 0.46/0.65 (step @p43 :rule refl :args (@t74)) % 0.46/0.65 (step @p44 :rule bool-and-de-morgan :args (@t2 @t5 true)) % 0.46/0.65 (step @p45 :rule nary_cong :premises (@p44 @p43) :args ((or @t77 @t74))) % 0.46/0.65 (step @p46 :rule trans :premises (@p45 @p42)) % 0.46/0.65 (step @p47 :rule bool-impl-elim :args (@t37 @t74)) % 0.46/0.65 (step @p48 :rule trans :premises (@p47 @p46)) % 0.46/0.65 (step @p49 :rule cong :premises (@p48) :args ((forall @t20 (=> @t37 @t74)))) % 0.46/0.65 (step @p50 :rule trans :premises (@p49 @p41)) % 0.46/0.65 (step @p51 :rule eq-symm :args (@t22 @t4)) % 0.46/0.65 (step @p52 :rule refl :args (@t24)) % 0.46/0.65 (step @p53 :rule nary_cong :premises (@p52 @p51) :args (@t25)) % 0.46/0.65 (step @p54 :rule refl :args (@t26)) % 0.46/0.65 (step @p55 :rule nary_cong :premises (@p54 @p53) :args (@t27)) % 0.46/0.65 (step @p56 :rule refl :args (@t28)) % 0.46/0.65 (step @p57 :rule cong :premises (@p56 @p55) :args (@t29)) % 0.46/0.65 (step @p58 :rule cong :premises (@p57) :args (@t31)) % 0.46/0.65 (step @p59 :rule refl :args (@t21)) % 0.46/0.65 (step @p60 :rule nary_cong :premises (@p59 @p58) :args (@t32)) % 0.46/0.65 (step @p61 :rule refl :args (@t34)) % 0.46/0.65 (step @p62 :rule cong :premises (@p61 @p60) :args (@t35)) % 0.46/0.65 (step @p63 :rule cong :premises (@p62) :args (@t36)) % 0.46/0.65 (step @p64 :rule refl :args (@t37)) % 0.46/0.65 (step @p65 :rule cong :premises (@p64 @p63) :args (@t38)) % 0.46/0.65 (step @p66 :rule cong :premises (@p65) :args (@t39)) % 0.46/0.65 (step @p67 :rule trans :premises (@p66 @p50)) % 0.46/0.65 (step @p68 :rule eq_resolve :premises (@p15 @p67)) % 0.46/0.65 (step @p69 :rule eq-symm :args (tptp.xx @t22)) % 0.46/0.65 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(step @p296 :rule eq_resolve :premises (@p295 @p269)) % 0.46/0.65 (step @p297 :rule reordering :premises (@p296) :args ((or @t138 @t176 @t183))) % 0.46/0.65 (step @p298 :rule chain_m_resolution :premises (@p297 @p18 @p265 @p263 @p262 @p260) :args (@t180 (@list false false true false false) (@list @t52 @t175 @t176 @t177 @t179))) % 0.46/0.65 (step @p299 :rule refl :args (@t185)) % 0.46/0.65 (step @p300 :rule bool-double-not-elim :args (@t173)) % 0.46/0.65 (step @p301 :rule nary_cong :premises (@p300 @p299) :args ((or (not @t186) @t185))) % 0.46/0.65 (step @p302 :rule eq-symm :args (@t174 tptp.xx)) % 0.46/0.65 (step @p303 :rule refl :args (@t176)) % 0.46/0.65 (step @p304 :rule nary_cong :premises (@p303 @p302) :args (@t187)) % 0.46/0.65 (step @p305 :rule refl :args (@t178)) % 0.46/0.65 (step @p306 :rule nary_cong :premises (@p305 @p304) :args (@t188)) % 0.46/0.65 (step @p307 :rule cong :premises (@p303 @p306) :args (@t189)) % 0.46/0.65 (step @p308 :rule cong :premises (@p307) :args (@t190)) % 0.46/0.65 (step @p309 :rule refl :args (@t186)) % 0.46/0.65 (step @p310 :rule cong :premises (@p309 @p308) :args ((=> @t186 @t190))) % 0.46/0.65 (assume-push @p380 @t186) % 0.46/0.65 (step @p312 :rule skolemize :premises (@p380)) % 0.46/0.65 (step-pop @p381 :rule scope :premises (@p312)) % 0.46/0.65 (step @p313 :rule process_scope :premises (@p381) :args (@t190)) % 0.46/0.65 (step @p315 :rule eq_resolve :premises (@p313 @p310)) % 0.46/0.65 (step @p316 :rule implies_elim :premises (@p315)) % 0.46/0.65 (step @p317 :rule eq_resolve :premises (@p316 @p301)) % 0.46/0.65 (step @p318 :rule chain_m_resolution :premises (@p317 @p298) :args (@t173 @t98 (@list @t180))) % 0.46/0.65 (step @p319 :rule nary_cong :premises (@p203 @p198) :args (@t191)) % 0.46/0.65 (step @p320 :rule nary_cong :premises (@p201 @p319) :args (@t192)) % 0.46/0.65 (step @p321 :rule cong :premises (@p203 @p320) :args (@t193)) % 0.46/0.65 (step @p322 :rule refl :args (@t173)) % 0.46/0.65 (step @p323 :rule cong :premises (@p322 @p321) :args ((=> @t173 @t193))) % 0.46/0.65 (assume-push @p382 @t173) % 0.46/0.65 (step @p325 :rule instantiate :premises (@p382) :args (@t166)) % 0.46/0.65 (step-pop @p383 :rule scope :premises (@p325)) % 0.46/0.65 (step @p326 :rule process_scope :premises (@p383) :args (@t193)) % 0.46/0.65 (step @p328 :rule eq_resolve :premises (@p326 @p323)) % 0.46/0.65 (step @p329 :rule implies_elim :premises (@p328)) % 0.46/0.65 (step @p330 :rule chain_m_resolution :premises (@p329 @p318) :args (@t196 @t98 (@list @t173))) % 0.46/0.65 (step @p331 :rule cnf_equiv_pos2 :args (@t196)) % 0.46/0.65 (step @p332 :rule reordering :premises (@p331) :args ((or @t152 (not @t195) (not @t196)))) % 0.46/0.65 (step @p333 :rule cnf_or_pos :args (@t198)) % 0.46/0.65 (step @p334 :rule reordering :premises (@p333) :args ((or @t152 @t197 @t199))) % 0.46/0.65 (step @p335 :rule cnf_and_pos :args (@t151 0)) % 0.46/0.65 (step @p336 :rule reordering :premises (@p335) :args ((or @t150 @t200))) % 0.46/0.65 (step @p337 :rule cnf_and_pos :args (@t151 1)) % 0.46/0.65 (step @p338 :rule reordering :premises (@p337) :args ((or @t149 @t200))) % 0.46/0.65 (step @p339 :rule cnf_and_neg :args (@t195)) % 0.46/0.65 (step @p340 :rule reordering :premises (@p339) :args ((or @t172 @t195 (not @t194)))) % 0.46/0.65 (step @p341 :rule cnf_or_pos :args (@t149)) % 0.46/0.65 (step @p342 :rule reordering :premises (@p341) :args ((or @t148 @t147 (not @t149)))) % 0.46/0.65 (step @p343 :rule cnf_or_neg :args (@t194 1)) % 0.46/0.65 (step @p344 :rule reordering :premises (@p343) :args ((or @t167 @t194))) % 0.46/0.65 (step @p345 :rule chain_m_resolution :premises (@p344 @p342 @p340 @p338 @p336 @p334 @p332 @p330 @p252 @p215) :args ((or @t152 @t199) (@list false true false false true true false false true) (@list @t147 @t194 @t149 @t150 @t148 @t195 @t196 @t151 @t153))) % 0.46/0.65 (step @p346 :rule chain_m_resolution :premises (@p345 @p250) :args (@t199 @t160 @t201)) % 0.46/0.65 (step @p347 :rule cnf_and_pos :args (@t168 1)) % 0.46/0.65 (step @p348 :rule reordering :premises (@p347) :args ((or @t152 @t171))) % 0.46/0.66 (step @p349 :rule chain_m_resolution :premises (@p348 @p250) :args (@t171 @t160 @t201)) % 0.46/0.66 (step @p350 :rule cnf_equiv_pos1 :args (@t169)) % 0.46/0.66 (step @p351 :rule reordering :premises (@p350) :args ((or @t197 @t168 @t170))) % 0.46/0.66 (step @p352 :rule chain_m_resolution :premises (@p351 @p349 @p239) :args (@t197 @t144 (@list @t168 @t169))) % 0.46/0.66 (step @p353 :rule bool-double-not-elim :args (@t148)) % 0.46/0.66 (step @p354 :rule refl :args (@t198)) % 0.46/0.66 (step @p355 :rule nary_cong :premises (@p354 @p353) :args ((or @t198 (not @t197)))) % 0.46/0.66 (step @p356 :rule cnf_or_neg :args (@t198 0)) % 0.46/0.66 (step @p357 :rule eq_resolve :premises (@p356 @p355)) % 0.46/0.66 (step @p358 :rule reordering :premises (@p357) :args ((or @t148 @t198))) % 0.46/0.66 (step @p359 false :rule chain_m_resolution :premises (@p358 @p352 @p346) :args (false (@list true true) (@list @t148 @t198))) % 0.46/0.66 ) % 0.46/0.66 % SZS output end Proof % 0.46/0.66 % cvc5 exiting %------------------------------------------------------------------------------