%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEV521+1 : TPTP v9.2.1. Released v7.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n026.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 08:56:03 AM UTC 2026 % Result : Theorem 0.37s 0.61s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.12 % Problem : SEV521+1 : TPTP v9.2.1. Released v7.3.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n026.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 18:34:55 EDT 2026 % 0.17/0.35 % CPUTime : % 0.29/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.37/0.61 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.61 % SZS status Theorem % 0.37/0.61 % SZS output start Proof % 0.37/0.61 ( % 0.37/0.61 (declare-sort $$unsorted 0) % 0.37/0.61 (declare-const tptp.unaryUnion (-> $$unsorted $$unsorted)) % 0.37/0.61 (declare-const tptp.non_overlapping (-> $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.pre_order (-> $$unsorted $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.equivalence (-> $$unsorted $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 0.37/0.61 (declare-const tptp.sum (-> $$unsorted $$unsorted)) % 0.37/0.61 (declare-const tptp.equal_set (-> $$unsorted $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.power_set (-> $$unsorted $$unsorted)) % 0.37/0.61 (declare-const tptp.equivalence_class (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.37/0.61 (declare-const tptp.intersection (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.61 (declare-const tptp.empty_set $$unsorted) % 0.37/0.61 (declare-const tptp.product (-> $$unsorted $$unsorted)) % 0.37/0.61 (declare-const tptp.partition (-> $$unsorted $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.union (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.61 (declare-const tptp.insertIntoMember (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.37/0.61 (declare-const tptp.disjoint (-> $$unsorted $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.difference (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.61 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.61 (define @t1 () (@var "B" $$unsorted)) % 0.37/0.61 (define @t2 () (@var "X" $$unsorted)) % 0.37/0.61 (define @t3 () (tptp.member @t2 @t1)) % 0.37/0.61 (define @t4 () (@var "A" $$unsorted)) % 0.37/0.61 (define @t5 () (tptp.member @t2 @t4)) % 0.37/0.61 (define @t6 () (@list @t2)) % 0.37/0.61 (define @t7 () (forall @t6 (=> @t5 @t3))) % 0.37/0.61 (define @t8 () (tptp.subset @t4 @t1)) % 0.37/0.61 (define @t9 () (= @t8 @t7)) % 0.37/0.61 (define @t10 () (@list @t4 @t1)) % 0.37/0.61 (define @t11 () (forall @t10 @t9)) % 0.37/0.61 (define @t12 () (@list @t2 @t4)) % 0.37/0.61 (define @t13 () (and @t5 @t3)) % 0.37/0.61 (define @t14 () (@list @t2 @t4 @t1)) % 0.37/0.61 (define @t15 () (@var "E" $$unsorted)) % 0.37/0.61 (define @t16 () (= @t2 @t4)) % 0.37/0.61 (define @t17 () (tptp.singleton @t4)) % 0.37/0.61 (define @t18 () (tptp.member @t2 @t17)) % 0.37/0.61 (define @t19 () (= @t18 @t16)) % 0.37/0.61 (define @t20 () (forall @t12 @t19)) % 0.37/0.61 (define @t21 () (@var "Y" $$unsorted)) % 0.37/0.61 (define @t22 () (tptp.member @t2 @t21)) % 0.37/0.61 (define @t23 () (tptp.member @t21 @t4)) % 0.37/0.61 (define @t24 () (and @t23 @t22)) % 0.37/0.61 (define @t25 () (@list @t21)) % 0.37/0.61 (define @t26 () (exists @t25 @t24)) % 0.37/0.61 (define @t27 () (= @t2 @t21)) % 0.37/0.61 (define @t28 () (@var "Z" $$unsorted)) % 0.37/0.61 (define @t29 () (tptp.member @t28 @t21)) % 0.37/0.61 (define @t30 () (tptp.member @t28 @t2)) % 0.37/0.61 (define @t31 () (and @t30 @t29)) % 0.37/0.61 (define @t32 () (@list @t28)) % 0.37/0.61 (define @t33 () (exists @t32 @t31)) % 0.37/0.61 (define @t34 () (=> @t33 @t27)) % 0.37/0.61 (define @t35 () (and @t5 @t23)) % 0.37/0.61 (define @t36 () (=> @t35 @t34)) % 0.37/0.61 (define @t37 () (@list @t2 @t21)) % 0.37/0.61 (define @t38 () (forall @t37 @t36)) % 0.37/0.61 (define @t39 () (tptp.member @t2 @t15)) % 0.37/0.61 (define @t40 () (=> @t39 @t26)) % 0.37/0.61 (define @t41 () (forall @t6 @t40)) % 0.37/0.61 (define @t42 () (tptp.subset @t2 @t15)) % 0.37/0.61 (define @t43 () (forall @t6 (=> @t5 @t42))) % 0.37/0.61 (define @t44 () (and @t43 @t41 @t38)) % 0.37/0.61 (define @t45 () (tptp.partition @t4 @t15)) % 0.37/0.61 (define @t46 () (= @t45 @t44)) % 0.37/0.61 (define @t47 () (forall (@list @t4 @t15) @t46)) % 0.37/0.61 (define @t48 () (@var "R" $$unsorted)) % 0.37/0.61 (define @t49 () (tptp.apply @t48 @t2 @t21)) % 0.37/0.61 (define @t50 () (=> (and @t49 (tptp.apply @t48 @t21 @t28)) (tptp.apply @t48 @t2 @t28))) % 0.37/0.61 (define @t51 () (@list @t2 @t21 @t28)) % 0.37/0.61 (define @t52 () (tptp.apply @t48 @t2 @t2)) % 0.37/0.61 (define @t53 () (@var "U" $$unsorted)) % 0.37/0.61 (define @t54 () (@var "C" $$unsorted)) % 0.37/0.61 (define @t55 () (@var "D" $$unsorted)) % 0.37/0.61 (define @t56 () (tptp.partition (tptp.singleton @t15) @t15)) % 0.37/0.61 (define @t57 () (not (= @t15 tptp.empty_set))) % 0.37/0.61 (define @t58 () (=> @t57 @t56)) % 0.37/0.61 (define @t59 () (@list @t15)) % 0.37/0.61 (define @t60 () (forall @t59 @t58)) % 0.37/0.61 (define @t61 () (not @t60)) % 0.37/0.61 (define @t62 () (= tptp.empty_set @t15)) % 0.37/0.61 (define @t63 () (@quantifiers_skolemize (forall @t59 (or @t62 @t56)) 0)) % 0.37/0.61 (define @t64 () (tptp.singleton @t63)) % 0.37/0.61 (define @t65 () (@var "BOUND_VARIABLE_7681" $$unsorted)) % 0.37/0.61 (define @t66 () (not (tptp.member @t65 @t21))) % 0.37/0.61 (define @t67 () (not (tptp.member @t65 @t2))) % 0.37/0.61 (define @t68 () (not (tptp.member @t21 @t64))) % 0.37/0.61 (define @t69 () (not (tptp.member @t2 @t64))) % 0.37/0.61 (define @t70 () (@list @t2 @t21 @t65)) % 0.37/0.61 (define @t71 () (forall @t70 (or @t69 @t68 @t27 @t67 @t66))) % 0.37/0.61 (define @t72 () (@quantifiers_skolemize @t71 0)) % 0.37/0.61 (define @t73 () (tptp.member @t72 @t64)) % 0.37/0.61 (define @t74 () (@quantifiers_skolemize @t71 1)) % 0.37/0.61 (define @t75 () (@quantifiers_skolemize @t71 2)) % 0.37/0.61 (define @t76 () (= @t72 @t74)) % 0.37/0.61 (define @t77 () (tptp.member @t74 @t64)) % 0.37/0.61 (define @t78 () (not @t77)) % 0.37/0.61 (define @t79 () (not @t73)) % 0.37/0.61 (define @t80 () (or @t79 @t78 @t76 (not (tptp.member @t75 @t72)) (not (tptp.member @t75 @t74)))) % 0.37/0.61 (define @t81 () (= @t63 @t72)) % 0.37/0.61 (define @t82 () (= @t73 @t81)) % 0.37/0.61 (define @t83 () (= @t63 @t74)) % 0.37/0.61 (define @t84 () (= @t77 @t83)) % 0.37/0.61 (define @t85 () (not @t83)) % 0.37/0.61 (define @t86 () (not @t81)) % 0.37/0.61 (define @t87 () (not @t76)) % 0.37/0.61 (define @t88 () (and @t87 @t81)) % 0.37/0.61 (define @t89 () (not @t80)) % 0.37/0.61 (define @t90 () (not @t71)) % 0.37/0.61 (define @t91 () (@list false)) % 0.37/0.61 (define @t92 () (forall @t6 (or @t69 (tptp.subset @t2 @t63)))) % 0.37/0.61 (define @t93 () (@quantifiers_skolemize @t92 0)) % 0.37/0.61 (define @t94 () (tptp.member @t93 @t64)) % 0.37/0.61 (define @t95 () (tptp.subset @t93 @t63)) % 0.37/0.61 (define @t96 () (not @t94)) % 0.37/0.61 (define @t97 () (or @t96 @t95)) % 0.37/0.61 (define @t98 () (@list @t93 @t63)) % 0.37/0.61 (define @t99 () (= @t63 @t93)) % 0.37/0.61 (define @t100 () (= @t94 @t99)) % 0.37/0.61 (define @t101 () (tptp.member @t2 @t63)) % 0.37/0.61 (define @t102 () (forall @t6 (or (not (tptp.member @t2 @t93)) @t101))) % 0.37/0.61 (define @t103 () (= @t95 @t102)) % 0.37/0.61 (define @t104 () (not @t102)) % 0.37/0.61 (define @t105 () (@quantifiers_skolemize @t102 0)) % 0.37/0.61 (define @t106 () (tptp.member @t105 @t63)) % 0.37/0.61 (define @t107 () (tptp.member @t105 @t93)) % 0.37/0.61 (define @t108 () (not @t107)) % 0.37/0.61 (define @t109 () (or @t108 @t106)) % 0.37/0.61 (define @t110 () (not @t109)) % 0.37/0.61 (define @t111 () (and @t99 @t107)) % 0.37/0.61 (define @t112 () (not @t97)) % 0.37/0.61 (define @t113 () (not @t92)) % 0.37/0.61 (define @t114 () (not @t23)) % 0.37/0.61 (define @t115 () (not @t5)) % 0.37/0.61 (define @t116 () (or @t67 @t66)) % 0.37/0.61 (define @t117 () (or @t115 @t114 @t116 @t27)) % 0.37/0.61 (define @t118 () (forall @t70 @t117)) % 0.37/0.61 (define @t119 () (@list @t65)) % 0.37/0.61 (define @t120 () (forall @t119 @t117)) % 0.37/0.61 (define @t121 () (forall @t119 @t116)) % 0.37/0.61 (define @t122 () (or @t115 @t114 @t121 @t27)) % 0.37/0.61 (define @t123 () (forall @t32 (or (not @t30) (not @t29)))) % 0.37/0.61 (define @t124 () (or @t115 @t114 @t123 @t27)) % 0.37/0.61 (define @t125 () (not @t123)) % 0.37/0.61 (define @t126 () (=> @t125 @t27)) % 0.37/0.61 (define @t127 () (forall @t32 (not @t31))) % 0.37/0.61 (define @t128 () (not @t127)) % 0.37/0.61 (define @t129 () (not @t22)) % 0.37/0.61 (define @t130 () (not (forall @t25 (or @t114 @t129)))) % 0.37/0.61 (define @t131 () (forall @t25 (not @t24))) % 0.37/0.61 (define @t132 () (not @t131)) % 0.37/0.61 (define @t133 () (not @t62)) % 0.37/0.61 (define @t134 () (tptp.partition @t64 @t63)) % 0.37/0.61 (define @t135 () (or (= tptp.empty_set @t63) @t134)) % 0.37/0.61 (define @t136 () (@list true)) % 0.37/0.61 (define @t137 () (forall @t6 (or (not @t101) (not (forall @t25 (or @t68 @t129)))))) % 0.37/0.61 (define @t138 () (and @t92 @t137 @t71)) % 0.37/0.61 (define @t139 () (= @t134 @t138)) % 0.37/0.61 (define @t140 () (not @t138)) % 0.37/0.61 (define @t141 () (@list true false)) % 0.37/0.61 (define @t142 () (not @t137)) % 0.37/0.61 (define @t143 () (@quantifiers_skolemize @t137 0)) % 0.37/0.61 (define @t144 () (forall @t25 (or @t68 (not (tptp.member @t143 @t21))))) % 0.37/0.61 (define @t145 () (not @t144)) % 0.37/0.61 (define @t146 () (tptp.member @t143 @t63)) % 0.37/0.61 (define @t147 () (not @t146)) % 0.37/0.61 (define @t148 () (or @t147 @t145)) % 0.37/0.61 (define @t149 () (not @t148)) % 0.37/0.61 (define @t150 () (@list @t148)) % 0.37/0.61 (define @t151 () (tptp.member @t63 @t64)) % 0.37/0.61 (define @t152 () (not @t151)) % 0.37/0.61 (define @t153 () (or @t152 @t147)) % 0.37/0.61 (define @t154 () (= @t151 (= @t63 @t63))) % 0.37/0.61 (define @t155 () (forall @t12 (= @t18 (= @t4 @t2)))) % 0.37/0.61 (assume @p1 @t11) % 0.37/0.61 (assume @p2 (forall @t10 (= (tptp.equal_set @t4 @t1) (and @t8 (tptp.subset @t1 @t4))))) % 0.37/0.61 (assume @p3 (forall @t12 (= (tptp.member @t2 (tptp.power_set @t4)) (tptp.subset @t2 @t4)))) % 0.37/0.61 (assume @p4 (forall @t14 (= (tptp.member @t2 (tptp.intersection @t4 @t1)) @t13))) % 0.37/0.61 (assume @p5 (forall @t14 (= (tptp.member @t2 (tptp.union @t4 @t1)) (or @t5 @t3)))) % 0.37/0.61 (assume @p6 (forall @t6 (not (tptp.member @t2 tptp.empty_set)))) % 0.37/0.61 (assume @p7 (forall (@list @t1 @t4 @t15) (= (tptp.member @t1 (tptp.difference @t15 @t4)) (and (tptp.member @t1 @t15) (not (tptp.member @t1 @t4)))))) % 0.37/0.61 (assume @p8 @t20) % 0.37/0.61 (assume @p9 (forall @t14 (= (tptp.member @t2 (tptp.unordered_pair @t4 @t1)) (or @t16 (= @t2 @t1))))) % 0.37/0.61 (assume @p10 (forall @t12 (= (tptp.member @t2 (tptp.sum @t4)) @t26))) % 0.37/0.61 (assume @p11 (forall @t12 (= (tptp.member @t2 (tptp.product @t4)) (forall @t25 (=> @t23 @t22))))) % 0.37/0.61 (assume @p12 (forall @t10 (= (tptp.disjoint @t4 @t1) (not (exists @t6 @t13))))) % 0.37/0.61 (assume @p13 @t47) % 0.37/0.61 (assume @p14 (forall (@list @t4 @t48) (= (tptp.equivalence @t48 @t4) (and (forall @t6 (=> @t5 @t52)) (forall @t37 (=> @t35 (=> @t49 (tptp.apply @t48 @t21 @t2)))) (forall @t51 (=> (and @t5 @t23 (tptp.member @t28 @t4)) @t50)))))) % 0.37/0.61 (assume @p15 (forall (@list @t48 @t15 @t4 @t2) (= (tptp.member @t2 (tptp.equivalence_class @t4 @t15 @t48)) (and @t39 (tptp.apply @t48 @t4 @t2))))) % 0.37/0.61 (assume @p16 (forall (@list @t48 @t15) (= (tptp.pre_order @t48 @t15) (and (forall @t6 (=> @t39 @t52)) (forall @t51 (=> (and @t39 (tptp.member @t21 @t15) (tptp.member @t28 @t15)) @t50)))))) % 0.37/0.61 (assume @p17 (forall @t6 (= (tptp.non_overlapping @t2) (exists (@list @t53) (tptp.partition @t2 @t53))))) % 0.37/0.61 (assume @p18 (forall (@list @t4 @t1 @t54) (= (tptp.insertIntoMember @t4 @t1 @t54) (tptp.union (tptp.union @t1 @t17) (tptp.difference @t54 (tptp.singleton @t1)))))) % 0.37/0.61 (assume @p19 (forall @t10 (= (= @t1 (tptp.unaryUnion @t4)) (forall (@list @t54) (= (tptp.member @t54 @t1) (exists (@list @t55) (and (tptp.member @t54 @t55) (tptp.member @t55 @t4)))))))) % 0.37/0.61 (assume @p20 @t61) % 0.37/0.61 (assume @p21 true) % 0.37/0.61 (step @p22 :rule eq-symm :args (@t2 @t4)) % 0.37/0.61 (step @p23 :rule refl :args (@t18)) % 0.37/0.61 (step @p24 :rule cong :premises (@p23 @p22) :args (@t19)) % 0.37/0.61 (step @p25 :rule cong :premises (@p24) :args (@t20)) % 0.37/0.61 (step @p26 :rule eq_resolve :premises (@p8 @p25)) % 0.37/0.61 (step @p27 :rule bool-double-not-elim :args (@t73)) % 0.37/0.61 (step @p28 :rule refl :args (@t80)) % 0.37/0.61 (step @p29 :rule nary_cong :premises (@p28 @p27) :args ((or @t80 (not @t79)))) % 0.37/0.61 (step @p30 :rule cnf_or_neg :args (@t80 0)) % 0.37/0.61 (step @p31 :rule eq_resolve :premises (@p30 @p29)) % 0.37/0.61 (step @p32 :rule reordering :premises (@p31) :args ((or @t73 @t80))) % 0.37/0.61 (step @p33 :rule bool-double-not-elim :args (@t77)) % 0.37/0.61 (step @p34 :rule nary_cong :premises (@p28 @p33) :args ((or @t80 (not @t78)))) % 0.37/0.61 (step @p35 :rule cnf_or_neg :args (@t80 1)) % 0.37/0.61 (step @p36 :rule eq_resolve :premises (@p35 @p34)) % 0.37/0.61 (step @p37 :rule reordering :premises (@p36) :args ((or @t77 @t80))) % 0.37/0.61 (step @p38 :rule cnf_or_neg :args (@t80 2)) % 0.37/0.61 (step @p39 :rule instantiate :premises (@p26) :args ((@list @t72 @t63))) % 0.37/0.61 (step @p40 :rule cnf_equiv_pos1 :args (@t82)) % 0.37/0.61 (step @p41 :rule reordering :premises (@p40) :args ((or @t79 @t81 (not @t82)))) % 0.37/0.61 (step @p42 :rule instantiate :premises (@p26) :args ((@list @t74 @t63))) % 0.37/0.61 (step @p43 :rule cnf_equiv_pos1 :args (@t84)) % 0.37/0.61 (step @p44 :rule reordering :premises (@p43) :args ((or @t78 @t83 (not @t84)))) % 0.37/0.61 (step @p45 :rule refl :args (@t85)) % 0.37/0.61 (step @p46 :rule refl :args (@t86)) % 0.37/0.61 (step @p47 :rule bool-double-not-elim :args (@t76)) % 0.37/0.61 (step @p48 :rule nary_cong :premises (@p47 @p46 @p45) :args ((or (not @t87) @t86 @t85))) % 0.37/0.61 (assume-push @p271 @t87) % 0.37/0.61 (assume-push @p272 @t81) % 0.37/0.61 (assume-push @p273 @t87) % 0.37/0.61 (assume-push @p274 @t81) % 0.37/0.61 (step @p53 :rule false_intro :premises (@p271)) % 0.37/0.61 (step @p54 :rule refl :args (@t74)) % 0.37/0.61 (step @p55 :rule cong :premises (@p272 @p54) :args (@t83)) % 0.37/0.61 (step @p56 :rule trans :premises (@p55 @p53)) % 0.37/0.61 (step @p57 :rule false_elim :premises (@p56)) % 0.37/0.61 (step-pop @p275 :rule scope :premises (@p57)) % 0.37/0.61 (step-pop @p276 :rule scope :premises (@p275)) % 0.37/0.61 (step @p58 :rule process_scope :premises (@p276) :args (@t85)) % 0.37/0.61 (step @p61 :rule and_intro :premises (@p271 @p272)) % 0.37/0.61 (step @p62 :rule modus_ponens :premises (@p61 @p58)) % 0.37/0.61 (step-pop @p277 :rule scope :premises (@p62)) % 0.37/0.61 (step-pop @p278 :rule scope :premises (@p277)) % 0.37/0.61 (step @p63 :rule process_scope :premises (@p278) :args (@t85)) % 0.37/0.61 (step @p66 :rule implies_elim :premises (@p63)) % 0.37/0.61 (step @p67 :rule cnf_and_neg :args (@t88)) % 0.37/0.61 (step @p68 :rule resolution :premises (@p67 @p66) :args (true @t88)) % 0.37/0.61 (step @p69 :rule eq_resolve :premises (@p68 @p48)) % 0.37/0.61 (step @p70 :rule chain_m_resolution :premises (@p69 @p44 @p42 @p41 @p39 @p38 @p37 @p32) :args (@t80 (@list false false false false true false false) (@list @t83 @t84 @t81 @t82 @t76 @t77 @t73))) % 0.37/0.61 (step @p71 :rule refl :args (@t89)) % 0.37/0.61 (step @p72 :rule bool-double-not-elim :args (@t71)) % 0.37/0.61 (step @p73 :rule nary_cong :premises (@p72 @p71) :args ((or (not @t90) @t89))) % 0.37/0.61 (assume-push @p279 @t90) % 0.37/0.61 (step @p75 :rule skolemize :premises (@p279)) % 0.37/0.61 (step-pop @p280 :rule scope :premises (@p75)) % 0.37/0.61 (step @p76 :rule process_scope :premises (@p280) :args (@t89)) % 0.37/0.61 (step @p78 :rule implies_elim :premises (@p76)) % 0.37/0.61 (step @p79 :rule eq_resolve :premises (@p78 @p73)) % 0.37/0.61 (step @p80 :rule chain_m_resolution :premises (@p79 @p70) :args (@t71 @t91 (@list @t80))) % 0.37/0.61 (step @p81 :rule bool-double-not-elim :args (@t94)) % 0.37/0.61 (step @p82 :rule refl :args (@t97)) % 0.37/0.61 (step @p83 :rule nary_cong :premises (@p82 @p81) :args ((or @t97 (not @t96)))) % 0.37/0.61 (step @p84 :rule cnf_or_neg :args (@t97 0)) % 0.37/0.61 (step @p85 :rule eq_resolve :premises (@p84 @p83)) % 0.37/0.61 (step @p86 :rule reordering :premises (@p85) :args ((or @t94 @t97))) % 0.37/0.61 (step @p87 :rule cnf_or_neg :args (@t97 1)) % 0.37/0.61 (step @p88 :rule instantiate :premises (@p26) :args (@t98)) % 0.37/0.61 (step @p89 :rule cnf_equiv_pos1 :args (@t100)) % 0.37/0.61 (step @p90 :rule reordering :premises (@p89) :args ((or @t96 @t99 (not @t100)))) % 0.37/0.61 (step @p91 :rule bool-impl-elim :args (@t5 @t3)) % 0.37/0.61 (step @p92 :rule cong :premises (@p91) :args (@t7)) % 0.37/0.61 (step @p93 :rule refl :args (@t8)) % 0.37/0.61 (step @p94 :rule cong :premises (@p93 @p92) :args (@t9)) % 0.37/0.61 (step @p95 :rule cong :premises (@p94) :args (@t11)) % 0.37/0.61 (step @p96 :rule eq_resolve :premises (@p1 @p95)) % 0.37/0.61 (step @p97 :rule instantiate :premises (@p96) :args (@t98)) % 0.37/0.61 (step @p98 :rule cnf_equiv_pos2 :args (@t103)) % 0.37/0.61 (step @p99 :rule reordering :premises (@p98) :args ((or @t95 @t104 (not @t103)))) % 0.37/0.61 (step @p100 :rule refl :args (@t110)) % 0.37/0.61 (step @p101 :rule bool-double-not-elim :args (@t102)) % 0.37/0.61 (step @p102 :rule nary_cong :premises (@p101 @p100) :args ((or (not @t104) @t110))) % 0.37/0.61 (assume-push @p281 @t104) % 0.37/0.61 (step @p104 :rule skolemize :premises (@p281)) % 0.37/0.61 (step-pop @p282 :rule scope :premises (@p104)) % 0.37/0.61 (step @p105 :rule process_scope :premises (@p282) :args (@t110)) % 0.37/0.61 (step @p107 :rule implies_elim :premises (@p105)) % 0.37/0.61 (step @p108 :rule eq_resolve :premises (@p107 @p102)) % 0.37/0.61 (step @p109 :rule bool-double-not-elim :args (@t107)) % 0.37/0.61 (step @p110 :rule refl :args (@t109)) % 0.37/0.61 (step @p111 :rule nary_cong :premises (@p110 @p109) :args ((or @t109 (not @t108)))) % 0.37/0.61 (step @p112 :rule cnf_or_neg :args (@t109 0)) % 0.37/0.61 (step @p113 :rule eq_resolve :premises (@p112 @p111)) % 0.37/0.61 (step @p114 :rule reordering :premises (@p113) :args ((or @t107 @t109))) % 0.37/0.61 (step @p115 :rule cnf_or_neg :args (@t109 1)) % 0.37/0.61 (assume-push @p283 @t99) % 0.37/0.61 (assume-push @p284 @t107) % 0.37/0.61 (assume-push @p285 @t107) % 0.37/0.61 (assume-push @p286 @t99) % 0.37/0.61 (step @p120 :rule true_intro :premises (@p284)) % 0.37/0.61 (step @p121 :rule refl :args (@t105)) % 0.37/0.61 (step @p122 :rule cong :premises (@p121 @p283) :args (@t106)) % 0.37/0.61 (step @p123 :rule trans :premises (@p122 @p120)) % 0.37/0.61 (step @p124 :rule true_elim :premises (@p123)) % 0.37/0.61 (step-pop @p287 :rule scope :premises (@p124)) % 0.37/0.61 (step-pop @p288 :rule scope :premises (@p287)) % 0.37/0.61 (step @p125 :rule process_scope :premises (@p288) :args (@t106)) % 0.37/0.61 (step @p128 :rule and_intro :premises (@p284 @p283)) % 0.37/0.61 (step @p129 :rule modus_ponens :premises (@p128 @p125)) % 0.37/0.61 (step-pop @p289 :rule scope :premises (@p129)) % 0.37/0.61 (step-pop @p290 :rule scope :premises (@p289)) % 0.37/0.61 (step @p130 :rule process_scope :premises (@p290) :args (@t106)) % 0.37/0.61 (step @p133 :rule implies_elim :premises (@p130)) % 0.37/0.61 (step @p134 :rule cnf_and_neg :args (@t111)) % 0.37/0.61 (step @p135 :rule resolution :premises (@p134 @p133) :args (true @t111)) % 0.37/0.61 (step @p136 :rule chain_m_resolution :premises (@p135 @p115 @p114 @p108 @p99 @p97 @p90 @p88 @p87 @p86) :args (@t97 (@list true false true true false false false true false) (@list @t106 @t107 @t109 @t102 @t103 @t99 @t100 @t95 @t94))) % 0.37/0.61 (step @p137 :rule refl :args (@t112)) % 0.37/0.61 (step @p138 :rule bool-double-not-elim :args (@t92)) % 0.37/0.61 (step @p139 :rule nary_cong :premises (@p138 @p137) :args ((or (not @t113) @t112))) % 0.37/0.61 (assume-push @p291 @t113) % 0.37/0.61 (step @p141 :rule skolemize :premises (@p291)) % 0.37/0.61 (step-pop @p292 :rule scope :premises (@p141)) % 0.37/0.61 (step @p142 :rule process_scope :premises (@p292) :args (@t112)) % 0.37/0.61 (step @p144 :rule implies_elim :premises (@p142)) % 0.37/0.61 (step @p145 :rule eq_resolve :premises (@p144 @p139)) % 0.37/0.61 (step @p146 :rule chain_m_resolution :premises (@p145 @p136) :args (@t92 @t91 (@list @t97))) % 0.37/0.61 (step @p147 :rule aci_norm :args ((= @t117 (or @t115 @t114 @t27 @t67 @t66)))) % 0.37/0.61 (step @p148 :rule cong :premises (@p147) :args (@t118)) % 0.37/0.61 (step @p149 :rule quant-merge-prenex :args ((= (forall @t37 @t120) @t118))) % 0.37/0.61 (step @p150 :rule refl :args (@t27)) % 0.37/0.61 (step @p151 :rule alpha_equiv :args (@t121 (@list @t65) (@list @t28))) % 0.37/0.61 (step @p152 :rule refl :args (@t114)) % 0.37/0.61 (step @p153 :rule refl :args (@t115)) % 0.37/0.61 (step @p154 :rule nary_cong :premises (@p153 @p152 @p151 @p150) :args (@t122)) % 0.37/0.61 (step @p155 :rule quant-miniscope-or :args ((= @t120 @t122))) % 0.37/0.61 (step @p156 :rule trans :premises (@p155 @p154)) % 0.37/0.61 (step @p157 :rule symm :premises (@p156)) % 0.37/0.61 (step @p158 :rule cong :premises (@p157) :args ((forall @t37 @t124))) % 0.37/0.61 (step @p159 :rule trans :premises (@p158 @p149)) % 0.37/0.61 (step @p160 :rule trans :premises (@p159 @p148)) % 0.37/0.61 (step @p161 :rule aci_norm :args ((= (or (or @t115 @t114) (or @t123 @t27)) @t124))) % 0.37/0.61 (step @p162 :rule bool-double-not-elim :args (@t123)) % 0.37/0.61 (step @p163 :rule nary_cong :premises (@p162 @p150) :args ((or (not @t125) @t27))) % 0.37/0.61 (step @p164 :rule bool-impl-elim :args (@t125 @t27)) % 0.37/0.61 (step @p165 :rule trans :premises (@p164 @p163)) % 0.37/0.61 (step @p166 :rule bool-and-de-morgan :args (@t5 @t23 true)) % 0.37/0.61 (step @p167 :rule nary_cong :premises (@p166 @p165) :args ((or (not @t35) @t126))) % 0.37/0.61 (step @p168 :rule trans :premises (@p167 @p161)) % 0.37/0.61 (step @p169 :rule bool-impl-elim :args (@t35 @t126)) % 0.37/0.61 (step @p170 :rule trans :premises (@p169 @p168)) % 0.37/0.61 (step @p171 :rule cong :premises (@p170) :args ((forall @t37 (=> @t35 @t126)))) % 0.37/0.61 (step @p172 :rule trans :premises (@p171 @p160)) % 0.37/0.61 (step @p173 :rule refl :args (@t27)) % 0.37/0.61 (step @p174 :rule bool-and-de-morgan :args (@t30 @t29 true)) % 0.37/0.61 (step @p175 :rule cong :premises (@p174) :args (@t127)) % 0.37/0.61 (step @p176 :rule cong :premises (@p175) :args (@t128)) % 0.37/0.61 (step @p177 :rule exists-elim :args ((= @t33 @t128))) % 0.37/0.61 (step @p178 :rule trans :premises (@p177 @p176)) % 0.37/0.61 (step @p179 :rule cong :premises (@p178 @p173) :args (@t34)) % 0.37/0.61 (step @p180 :rule refl :args (@t35)) % 0.37/0.61 (step @p181 :rule cong :premises (@p180 @p179) :args (@t36)) % 0.37/0.61 (step @p182 :rule cong :premises (@p181) :args (@t38)) % 0.37/0.61 (step @p183 :rule trans :premises (@p182 @p172)) % 0.37/0.61 (step @p184 :rule bool-impl-elim :args (@t39 @t130)) % 0.37/0.61 (step @p185 :rule cong :premises (@p184) :args ((forall @t6 (=> @t39 @t130)))) % 0.37/0.61 (step @p186 :rule bool-and-de-morgan :args (@t23 @t22 true)) % 0.37/0.61 (step @p187 :rule cong :premises (@p186) :args (@t131)) % 0.37/0.61 (step @p188 :rule cong :premises (@p187) :args (@t132)) % 0.37/0.61 (step @p189 :rule exists-elim :args ((= @t26 @t132))) % 0.37/0.61 (step @p190 :rule trans :premises (@p189 @p188)) % 0.37/0.61 (step @p191 :rule refl :args (@t39)) % 0.37/0.61 (step @p192 :rule cong :premises (@p191 @p190) :args (@t40)) % 0.37/0.61 (step @p193 :rule cong :premises (@p192) :args (@t41)) % 0.37/0.61 (step @p194 :rule trans :premises (@p193 @p185)) % 0.37/0.61 (step @p195 :rule bool-impl-elim :args (@t5 @t42)) % 0.37/0.61 (step @p196 :rule cong :premises (@p195) :args (@t43)) % 0.37/0.61 (step @p197 :rule nary_cong :premises (@p196 @p194 @p183) :args (@t44)) % 0.37/0.61 (step @p198 :rule refl :args (@t45)) % 0.37/0.61 (step @p199 :rule cong :premises (@p198 @p197) :args (@t46)) % 0.37/0.61 (step @p200 :rule cong :premises (@p199) :args (@t47)) % 0.37/0.61 (step @p201 :rule eq_resolve :premises (@p13 @p200)) % 0.37/0.61 (step @p202 :rule instantiate :premises (@p201) :args ((@list @t64 @t63))) % 0.37/0.61 (step @p203 :rule refl :args (@t56)) % 0.37/0.61 (step @p204 :rule bool-double-not-elim :args (@t62)) % 0.37/0.61 (step @p205 :rule nary_cong :premises (@p204 @p203) :args ((or (not @t133) @t56))) % 0.37/0.61 (step @p206 :rule bool-impl-elim :args (@t133 @t56)) % 0.37/0.61 (step @p207 :rule trans :premises (@p206 @p205)) % 0.37/0.61 (step @p208 :rule cong :premises (@p207) :args ((forall @t59 (=> @t133 @t56)))) % 0.37/0.61 (step @p209 :rule refl :args (@t56)) % 0.37/0.61 (step @p210 :rule eq-symm :args (@t15 tptp.empty_set)) % 0.37/0.61 (step @p211 :rule cong :premises (@p210) :args (@t57)) % 0.37/0.61 (step @p212 :rule cong :premises (@p211 @p209) :args (@t58)) % 0.37/0.61 (step @p213 :rule cong :premises (@p212) :args (@t60)) % 0.37/0.61 (step @p214 :rule trans :premises (@p213 @p208)) % 0.37/0.61 (step @p215 :rule cong :premises (@p214) :args (@t61)) % 0.37/0.61 (step @p216 :rule eq_resolve :premises (@p20 @p215)) % 0.37/0.61 (step @p217 :rule skolemize :premises (@p216)) % 0.37/0.61 (step @p218 :rule cnf_or_neg :args (@t135 1)) % 0.37/0.61 (step @p219 :rule chain_m_resolution :premises (@p218 @p217) :args ((not @t134) @t136 (@list @t135))) % 0.37/0.61 (step @p220 :rule cnf_equiv_pos2 :args (@t139)) % 0.37/0.61 (step @p221 :rule reordering :premises (@p220) :args ((or @t134 @t140 (not @t139)))) % 0.37/0.61 (step @p222 :rule chain_m_resolution :premises (@p221 @p219 @p202) :args (@t140 @t141 (@list @t134 @t139))) % 0.37/0.61 (step @p223 :rule cnf_and_neg :args (@t138)) % 0.37/0.61 (step @p224 :rule chain_m_resolution :premises (@p223 @p222 @p146 @p80) :args (@t142 (@list true false false) (@list @t138 @t92 @t71))) % 0.37/0.61 (step @p225 :rule refl :args (@t149)) % 0.37/0.61 (step @p226 :rule bool-double-not-elim :args (@t137)) % 0.37/0.61 (step @p227 :rule nary_cong :premises (@p226 @p225) :args ((or (not @t142) @t149))) % 0.37/0.61 (assume-push @p293 @t142) % 0.37/0.61 (step @p229 :rule skolemize :premises (@p293)) % 0.37/0.61 (step-pop @p294 :rule scope :premises (@p229)) % 0.37/0.61 (step @p230 :rule process_scope :premises (@p294) :args (@t149)) % 0.37/0.61 (step @p232 :rule implies_elim :premises (@p230)) % 0.37/0.61 (step @p233 :rule eq_resolve :premises (@p232 @p227)) % 0.37/0.61 (step @p234 :rule chain_m_resolution :premises (@p233 @p224) :args (@t149 @t136 (@list @t137))) % 0.37/0.61 (step @p235 :rule bool-double-not-elim :args (@t144)) % 0.37/0.61 (step @p236 :rule refl :args (@t148)) % 0.37/0.61 (step @p237 :rule nary_cong :premises (@p236 @p235) :args ((or @t148 (not @t145)))) % 0.37/0.61 (step @p238 :rule cnf_or_neg :args (@t148 1)) % 0.37/0.61 (step @p239 :rule eq_resolve :premises (@p238 @p237)) % 0.37/0.61 (step @p240 :rule reordering :premises (@p239) :args ((or @t144 @t148))) % 0.37/0.61 (step @p241 :rule chain_m_resolution :premises (@p240 @p234) :args (@t144 @t136 @t150)) % 0.37/0.61 (assume-push @p295 @t144) % 0.37/0.61 (step @p243 :rule instantiate :premises (@p295) :args ((@list @t63))) % 0.37/0.61 (step-pop @p296 :rule scope :premises (@p243)) % 0.37/0.61 (step @p244 :rule process_scope :premises (@p296) :args (@t153)) % 0.37/0.61 (step @p246 :rule implies_elim :premises (@p244)) % 0.37/0.61 (step @p247 :rule chain_m_resolution :premises (@p246 @p241) :args (@t153 @t91 (@list @t144))) % 0.37/0.61 (step @p248 :rule bool-double-not-elim :args (@t146)) % 0.37/0.61 (step @p249 :rule nary_cong :premises (@p236 @p248) :args ((or @t148 (not @t147)))) % 0.37/0.61 (step @p250 :rule cnf_or_neg :args (@t148 0)) % 0.37/0.61 (step @p251 :rule eq_resolve :premises (@p250 @p249)) % 0.37/0.61 (step @p252 :rule reordering :premises (@p251) :args ((or @t146 @t148))) % 0.37/0.61 (step @p253 :rule chain_m_resolution :premises (@p252 @p234) :args (@t146 @t136 @t150)) % 0.37/0.61 (step @p254 :rule cnf_or_pos :args (@t153)) % 0.37/0.61 (step @p255 :rule reordering :premises (@p254) :args ((or @t147 @t152 (not @t153)))) % 0.37/0.61 (step @p256 :rule chain_m_resolution :premises (@p255 @p253 @p247) :args (@t152 (@list false false) (@list @t146 @t153))) % 0.37/0.61 (step @p257 :rule bool-eq-true :args (@t151)) % 0.37/0.61 (step @p258 :rule eq-refl :args (@t63)) % 0.37/0.61 (step @p259 :rule refl :args (@t151)) % 0.37/0.61 (step @p260 :rule cong :premises (@p259 @p258) :args (@t154)) % 0.37/0.61 (step @p261 :rule trans :premises (@p260 @p257)) % 0.37/0.61 (step @p262 :rule refl :args (@t155)) % 0.37/0.61 (step @p263 :rule cong :premises (@p262 @p261) :args ((=> @t155 @t154))) % 0.37/0.61 (assume-push @p297 @t155) % 0.37/0.61 (step @p265 :rule instantiate :premises (@p26) :args ((@list @t63 @t63))) % 0.37/0.61 (step-pop @p298 :rule scope :premises (@p265)) % 0.37/0.61 (step @p266 :rule process_scope :premises (@p298) :args (@t154)) % 0.37/0.61 (step @p268 :rule eq_resolve :premises (@p266 @p263)) % 0.37/0.61 (step @p269 :rule implies_elim :premises (@p268)) % 0.37/0.61 (step @p270 false :rule chain_m_resolution :premises (@p269 @p256 @p26) :args (false @t141 (@list @t151 @t155))) % 0.37/0.61 ) % 0.37/0.61 % SZS output end Proof % 0.37/0.61 % cvc5 exiting %------------------------------------------------------------------------------