%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET690+4 : TPTP v9.2.1. Released v2.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/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 08:48:26 AM UTC 2026 % Result : Theorem 0.45s 0.65s % Output : Proof 0.45s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET690+4 : TPTP v9.2.1. Released v2.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/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 % 0.16/0.33 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 16:06:53 EDT 2026 % 0.16/0.34 % CPUTime : % 0.25/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.45/0.65 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.45/0.65 % SZS status Theorem % 0.45/0.65 % SZS output start Proof % 0.45/0.65 ( % 0.45/0.65 (declare-sort $$unsorted 0) % 0.45/0.65 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.65 (declare-const tptp.difference (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.65 (declare-const tptp.union (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.65 (declare-const tptp.product (-> $$unsorted $$unsorted)) % 0.45/0.65 (declare-const tptp.empty_set $$unsorted) % 0.45/0.65 (declare-const tptp.intersection (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.65 (declare-const tptp.power_set (-> $$unsorted $$unsorted)) % 0.45/0.65 (declare-const tptp.equal_set (-> $$unsorted $$unsorted Bool)) % 0.45/0.65 (declare-const tptp.sum (-> $$unsorted $$unsorted)) % 0.45/0.65 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 0.45/0.65 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.45/0.65 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 0.45/0.65 (define @t1 () (@var "B" $$unsorted)) % 0.45/0.65 (define @t2 () (@var "X" $$unsorted)) % 0.45/0.65 (define @t3 () (tptp.member @t2 @t1)) % 0.45/0.65 (define @t4 () (@var "A" $$unsorted)) % 0.45/0.65 (define @t5 () (tptp.member @t2 @t4)) % 0.45/0.65 (define @t6 () (@list @t2)) % 0.45/0.65 (define @t7 () (forall @t6 (=> @t5 @t3))) % 0.45/0.65 (define @t8 () (tptp.subset @t4 @t1)) % 0.45/0.65 (define @t9 () (= @t8 @t7)) % 0.45/0.65 (define @t10 () (@list @t4 @t1)) % 0.45/0.65 (define @t11 () (forall @t10 @t9)) % 0.45/0.65 (define @t12 () (@list @t2 @t4)) % 0.45/0.65 (define @t13 () (tptp.intersection @t4 @t1)) % 0.45/0.65 (define @t14 () (@list @t2 @t4 @t1)) % 0.45/0.65 (define @t15 () (@var "E" $$unsorted)) % 0.45/0.65 (define @t16 () (= @t2 @t4)) % 0.45/0.65 (define @t17 () (@var "Y" $$unsorted)) % 0.45/0.65 (define @t18 () (tptp.member @t2 @t17)) % 0.45/0.65 (define @t19 () (tptp.member @t17 @t4)) % 0.45/0.65 (define @t20 () (@list @t17)) % 0.45/0.65 (define @t21 () (@var "C" $$unsorted)) % 0.45/0.65 (define @t22 () (forall (@list @t4 @t1 @t21) (= (tptp.equal_set (tptp.union @t13 @t21) (tptp.intersection @t4 (tptp.union @t1 @t21))) (tptp.subset @t21 @t4)))) % 0.45/0.65 (define @t23 () (@quantifiers_skolemize @t22 2)) % 0.45/0.65 (define @t24 () (@quantifiers_skolemize @t22 1)) % 0.45/0.65 (define @t25 () (tptp.union @t24 @t23)) % 0.45/0.65 (define @t26 () (@quantifiers_skolemize @t22 0)) % 0.45/0.65 (define @t27 () (tptp.intersection @t26 @t25)) % 0.45/0.65 (define @t28 () (tptp.member @t2 @t27)) % 0.45/0.65 (define @t29 () (tptp.intersection @t26 @t24)) % 0.45/0.65 (define @t30 () (tptp.union @t29 @t23)) % 0.45/0.65 (define @t31 () (tptp.member @t2 @t30)) % 0.45/0.65 (define @t32 () (not @t31)) % 0.45/0.65 (define @t33 () (forall @t6 (or @t32 @t28))) % 0.45/0.65 (define @t34 () (@quantifiers_skolemize @t33 0)) % 0.45/0.65 (define @t35 () (tptp.member @t2 @t26)) % 0.45/0.65 (define @t36 () (forall @t6 (or (not (tptp.member @t2 @t23)) @t35))) % 0.45/0.65 (define @t37 () (@quantifiers_skolemize @t36 0)) % 0.45/0.65 (define @t38 () (tptp.member @t37 @t23)) % 0.45/0.65 (define @t39 () (tptp.member @t37 @t26)) % 0.45/0.65 (define @t40 () (not @t38)) % 0.45/0.65 (define @t41 () (or @t40 @t39)) % 0.45/0.65 (define @t42 () (or (tptp.member @t37 @t29) @t38)) % 0.45/0.65 (define @t43 () (tptp.member @t37 @t30)) % 0.45/0.65 (define @t44 () (not @t43)) % 0.45/0.65 (define @t45 () (or @t44 @t39)) % 0.45/0.65 (define @t46 () (not @t45)) % 0.45/0.65 (define @t47 () (= @t43 @t42)) % 0.45/0.65 (define @t48 () (not @t41)) % 0.45/0.65 (define @t49 () (@list @t37)) % 0.45/0.65 (define @t50 () (forall @t6 (or @t32 @t35))) % 0.45/0.65 (define @t51 () (tptp.subset @t23 @t26)) % 0.45/0.65 (define @t52 () (= @t51 @t36)) % 0.45/0.65 (define @t53 () (not @t52)) % 0.45/0.65 (define @t54 () (@quantifiers_skolemize @t50 0)) % 0.45/0.65 (define @t55 () (tptp.member @t54 @t26)) % 0.45/0.65 (define @t56 () (tptp.member @t54 @t30)) % 0.45/0.65 (define @t57 () (not @t56)) % 0.45/0.65 (define @t58 () (or @t57 @t55)) % 0.45/0.65 (define @t59 () (not @t58)) % 0.45/0.65 (define @t60 () (not @t50)) % 0.45/0.65 (define @t61 () (tptp.equal_set @t30 @t27)) % 0.45/0.65 (define @t62 () (= @t61 @t51)) % 0.45/0.65 (define @t63 () (@list @t30 @t27)) % 0.45/0.65 (define @t64 () (tptp.subset @t27 @t30)) % 0.45/0.65 (define @t65 () (tptp.subset @t30 @t27)) % 0.45/0.65 (define @t66 () (and @t65 @t64)) % 0.45/0.65 (define @t67 () (= @t61 @t66)) % 0.45/0.65 (define @t68 () (not @t67)) % 0.45/0.65 (define @t69 () (not @t61)) % 0.45/0.65 (define @t70 () (and @t55 (tptp.member @t54 @t25))) % 0.45/0.65 (define @t71 () (not @t66)) % 0.45/0.65 (define @t72 () (tptp.member @t54 @t27)) % 0.45/0.65 (define @t73 () (= @t72 @t70)) % 0.45/0.65 (define @t74 () (= @t65 @t33)) % 0.45/0.65 (define @t75 () (not @t74)) % 0.45/0.65 (define @t76 () (not @t65)) % 0.45/0.65 (define @t77 () (or @t57 @t72)) % 0.45/0.65 (define @t78 () (@list @t54)) % 0.45/0.65 (define @t79 () (not @t36)) % 0.45/0.65 (define @t80 () (@list false)) % 0.45/0.65 (define @t81 () (tptp.member @t54 @t23)) % 0.45/0.65 (define @t82 () (not @t81)) % 0.45/0.65 (define @t83 () (or @t82 @t55)) % 0.45/0.65 (define @t84 () (tptp.member @t54 @t29)) % 0.45/0.65 (define @t85 () (or @t84 @t81)) % 0.45/0.65 (define @t86 () (= @t56 @t85)) % 0.45/0.65 (define @t87 () (and @t55 (tptp.member @t54 @t24))) % 0.45/0.65 (define @t88 () (not @t83)) % 0.45/0.65 (define @t89 () (= @t84 @t87)) % 0.45/0.65 (define @t90 () (forall @t6 (or (not @t28) @t31))) % 0.45/0.65 (define @t91 () (@quantifiers_skolemize @t90 0)) % 0.45/0.65 (define @t92 () (tptp.member @t91 @t30)) % 0.45/0.65 (define @t93 () (tptp.member @t91 @t27)) % 0.45/0.65 (define @t94 () (not @t93)) % 0.45/0.65 (define @t95 () (or @t94 @t92)) % 0.45/0.65 (define @t96 () (tptp.member @t91 @t25)) % 0.45/0.65 (define @t97 () (tptp.member @t91 @t26)) % 0.45/0.65 (define @t98 () (and @t97 @t96)) % 0.45/0.65 (define @t99 () (= @t93 @t98)) % 0.45/0.65 (define @t100 () (tptp.member @t91 @t23)) % 0.45/0.65 (define @t101 () (tptp.member @t91 @t29)) % 0.45/0.65 (define @t102 () (or @t101 @t100)) % 0.45/0.65 (define @t103 () (= @t92 @t102)) % 0.45/0.65 (define @t104 () (not @t98)) % 0.45/0.65 (define @t105 () (tptp.member @t91 @t24)) % 0.45/0.65 (define @t106 () (and @t97 @t105)) % 0.45/0.65 (define @t107 () (or @t105 @t100)) % 0.45/0.65 (define @t108 () (= @t96 @t107)) % 0.45/0.65 (define @t109 () (= @t101 @t106)) % 0.45/0.65 (define @t110 () (not @t95)) % 0.45/0.65 (define @t111 () (not @t90)) % 0.45/0.65 (define @t112 () (= @t64 @t90)) % 0.45/0.65 (define @t113 () (@list false false)) % 0.45/0.65 (define @t114 () (@list @t34)) % 0.45/0.65 (define @t115 () (tptp.member @t34 @t26)) % 0.45/0.65 (define @t116 () (tptp.member @t34 @t30)) % 0.45/0.65 (define @t117 () (not @t116)) % 0.45/0.65 (define @t118 () (or @t117 @t115)) % 0.45/0.65 (define @t119 () (not @t33)) % 0.45/0.65 (define @t120 () (tptp.member @t34 @t27)) % 0.45/0.65 (define @t121 () (or @t117 @t120)) % 0.45/0.65 (define @t122 () (tptp.member @t34 @t23)) % 0.45/0.65 (define @t123 () (tptp.member @t34 @t29)) % 0.45/0.65 (define @t124 () (or @t123 @t122)) % 0.45/0.65 (define @t125 () (= @t116 @t124)) % 0.45/0.65 (define @t126 () (not @t118)) % 0.45/0.65 (define @t127 () (tptp.member @t34 @t25)) % 0.45/0.65 (define @t128 () (and @t115 @t127)) % 0.45/0.65 (define @t129 () (= @t120 @t128)) % 0.45/0.65 (define @t130 () (tptp.member @t34 @t24)) % 0.45/0.65 (define @t131 () (and @t115 @t130)) % 0.45/0.65 (define @t132 () (= @t123 @t131)) % 0.45/0.65 (define @t133 () (or @t130 @t122)) % 0.45/0.65 (define @t134 () (= @t127 @t133)) % 0.45/0.65 (define @t135 () (not @t121)) % 0.45/0.65 (define @t136 () (@list @t36)) % 0.45/0.65 (define @t137 () (not @t122)) % 0.45/0.65 (define @t138 () (or @t137 @t115)) % 0.45/0.65 (define @t139 () (@list true false)) % 0.45/0.65 (assume @p1 @t11) % 0.45/0.65 (assume @p2 (forall @t10 (= (tptp.equal_set @t4 @t1) (and @t8 (tptp.subset @t1 @t4))))) % 0.45/0.65 (assume @p3 (forall @t12 (= (tptp.member @t2 (tptp.power_set @t4)) (tptp.subset @t2 @t4)))) % 0.45/0.65 (assume @p4 (forall @t14 (= (tptp.member @t2 @t13) (and @t5 @t3)))) % 0.45/0.65 (assume @p5 (forall @t14 (= (tptp.member @t2 (tptp.union @t4 @t1)) (or @t5 @t3)))) % 0.45/0.65 (assume @p6 (forall @t6 (not (tptp.member @t2 tptp.empty_set)))) % 0.45/0.65 (assume @p7 (forall (@list @t1 @t4 @t15) (= (tptp.member @t1 (tptp.difference @t15 @t4)) (and (tptp.member @t1 @t15) (not (tptp.member @t1 @t4)))))) % 0.45/0.65 (assume @p8 (forall @t12 (= (tptp.member @t2 (tptp.singleton @t4)) @t16))) % 0.45/0.65 (assume @p9 (forall @t14 (= (tptp.member @t2 (tptp.unordered_pair @t4 @t1)) (or @t16 (= @t2 @t1))))) % 0.45/0.65 (assume @p10 (forall @t12 (= (tptp.member @t2 (tptp.sum @t4)) (exists @t20 (and @t19 @t18))))) % 0.45/0.65 (assume @p11 (forall @t12 (= (tptp.member @t2 (tptp.product @t4)) (forall @t20 (=> @t19 @t18))))) % 0.45/0.65 (assume @p12 (not @t22)) % 0.45/0.65 (assume @p13 true) % 0.45/0.65 (step @p14 :rule instantiate :premises (@p4) :args ((@list @t34 @t26 @t25))) % 0.45/0.65 (step @p15 :rule instantiate :premises (@p5) :args ((@list @t34 @t24 @t23))) % 0.45/0.65 (step @p16 :rule bool-double-not-elim :args (@t38)) % 0.45/0.65 (step @p17 :rule refl :args (@t41)) % 0.45/0.65 (step @p18 :rule nary_cong :premises (@p17 @p16) :args ((or @t41 (not @t40)))) % 0.45/0.65 (step @p19 :rule cnf_or_neg :args (@t41 0)) % 0.45/0.65 (step @p20 :rule eq_resolve :premises (@p19 @p18)) % 0.45/0.65 (step @p21 :rule reordering :premises (@p20) :args ((or @t38 @t41))) % 0.45/0.65 (step @p22 :rule cnf_or_neg :args (@t41 1)) % 0.45/0.65 (step @p23 :rule cnf_or_neg :args (@t42 1)) % 0.45/0.65 (step @p24 :rule reordering :premises (@p23) :args ((or @t40 @t42))) % 0.45/0.65 (step @p25 :rule cnf_or_pos :args (@t45)) % 0.45/0.65 (step @p26 :rule reordering :premises (@p25) :args ((or @t39 @t44 @t46))) % 0.45/0.65 (step @p27 :rule instantiate :premises (@p5) :args ((@list @t37 @t29 @t23))) % 0.45/0.65 (step @p28 :rule cnf_equiv_pos2 :args (@t47)) % 0.45/0.65 (step @p29 :rule reordering :premises (@p28) :args ((or @t43 (not @t42) (not @t47)))) % 0.45/0.65 (step @p30 :rule chain_m_resolution :premises (@p29 @p27 @p26 @p24 @p22 @p21) :args ((or @t41 @t46) (@list false true false true false) (@list @t47 @t43 @t42 @t39 @t38))) % 0.45/0.65 (step @p31 :rule cnf_or_pos :args (@t41)) % 0.45/0.65 (step @p32 :rule reordering :premises (@p31) :args ((or @t40 @t39 @t48))) % 0.45/0.65 (assume-push @p244 @t36) % 0.45/0.65 (step @p34 :rule instantiate :premises (@p244) :args (@t49)) % 0.45/0.65 (step-pop @p245 :rule scope :premises (@p34)) % 0.45/0.65 (step @p35 :rule process_scope :premises (@p245) :args (@t41)) % 0.45/0.65 (step @p37 :rule implies_elim :premises (@p35)) % 0.45/0.65 (assume-push @p246 @t50) % 0.45/0.65 (step @p39 :rule instantiate :premises (@p246) :args (@t49)) % 0.45/0.65 (step-pop @p247 :rule scope :premises (@p39)) % 0.45/0.65 (step @p40 :rule process_scope :premises (@p247) :args (@t45)) % 0.45/0.65 (step @p42 :rule implies_elim :premises (@p40)) % 0.45/0.65 (step @p43 :rule bool-impl-elim :args (@t5 @t3)) % 0.45/0.65 (step @p44 :rule cong :premises (@p43) :args (@t7)) % 0.45/0.65 (step @p45 :rule refl :args (@t8)) % 0.45/0.65 (step @p46 :rule cong :premises (@p45 @p44) :args (@t9)) % 0.45/0.65 (step @p47 :rule cong :premises (@p46) :args (@t11)) % 0.45/0.65 (step @p48 :rule eq_resolve :premises (@p1 @p47)) % 0.45/0.65 (step @p49 :rule instantiate :premises (@p48) :args ((@list @t23 @t26))) % 0.45/0.65 (step @p50 :rule cnf_equiv_pos1 :args (@t52)) % 0.45/0.65 (step @p51 :rule reordering :premises (@p50) :args ((or (not @t51) @t36 @t53))) % 0.45/0.65 (step @p52 :rule refl :args (@t59)) % 0.45/0.65 (step @p53 :rule bool-double-not-elim :args (@t50)) % 0.45/0.65 (step @p54 :rule nary_cong :premises (@p53 @p52) :args ((or (not @t60) @t59))) % 0.45/0.65 (assume-push @p248 @t60) % 0.45/0.65 (step @p56 :rule skolemize :premises (@p248)) % 0.45/0.65 (step-pop @p249 :rule scope :premises (@p56)) % 0.45/0.65 (step @p57 :rule process_scope :premises (@p249) :args (@t59)) % 0.45/0.65 (step @p59 :rule implies_elim :premises (@p57)) % 0.45/0.65 (step @p60 :rule eq_resolve :premises (@p59 @p54)) % 0.45/0.65 (step @p61 :rule skolemize :premises (@p12)) % 0.45/0.65 (step @p62 :rule cnf_equiv_neg1 :args (@t62)) % 0.45/0.65 (step @p63 :rule reordering :premises (@p62) :args ((or @t61 @t51 @t62))) % 0.45/0.65 (step @p64 :rule bool-double-not-elim :args (@t56)) % 0.45/0.65 (step @p65 :rule refl :args (@t58)) % 0.45/0.65 (step @p66 :rule nary_cong :premises (@p65 @p64) :args ((or @t58 (not @t57)))) % 0.45/0.65 (step @p67 :rule cnf_or_neg :args (@t58 0)) % 0.45/0.65 (step @p68 :rule eq_resolve :premises (@p67 @p66)) % 0.45/0.65 (step @p69 :rule reordering :premises (@p68) :args ((or @t56 @t58))) % 0.45/0.65 (step @p70 :rule cnf_or_neg :args (@t58 1)) % 0.45/0.65 (step @p71 :rule instantiate :premises (@p2) :args (@t63)) % 0.45/0.65 (step @p72 :rule cnf_equiv_pos1 :args (@t67)) % 0.45/0.65 (step @p73 :rule reordering :premises (@p72) :args ((or @t69 @t66 @t68))) % 0.45/0.65 (step @p74 :rule cnf_and_pos :args (@t70 0)) % 0.45/0.65 (step @p75 :rule reordering :premises (@p74) :args ((or @t55 (not @t70)))) % 0.45/0.65 (step @p76 :rule cnf_and_pos :args (@t66 0)) % 0.45/0.65 (step @p77 :rule reordering :premises (@p76) :args ((or @t65 @t71))) % 0.45/0.65 (step @p78 :rule instantiate :premises (@p4) :args ((@list @t54 @t26 @t25))) % 0.45/0.65 (step @p79 :rule cnf_equiv_pos1 :args (@t73)) % 0.45/0.65 (step @p80 :rule reordering :premises (@p79) :args ((or (not @t72) @t70 (not @t73)))) % 0.45/0.65 (step @p81 :rule instantiate :premises (@p48) :args (@t63)) % 0.45/0.65 (step @p82 :rule cnf_equiv_pos1 :args (@t74)) % 0.45/0.65 (step @p83 :rule reordering :premises (@p82) :args ((or @t76 @t33 @t75))) % 0.45/0.65 (step @p84 :rule cnf_or_pos :args (@t77)) % 0.45/0.65 (step @p85 :rule reordering :premises (@p84) :args ((or @t57 @t72 (not @t77)))) % 0.45/0.65 (assume-push @p250 @t33) % 0.45/0.65 (step @p87 :rule instantiate :premises (@p250) :args (@t78)) % 0.45/0.65 (step-pop @p251 :rule scope :premises (@p87)) % 0.45/0.65 (step @p88 :rule process_scope :premises (@p251) :args (@t77)) % 0.45/0.65 (step @p90 :rule implies_elim :premises (@p88)) % 0.45/0.65 (step @p91 :rule chain_m_resolution :premises (@p90 @p85 @p83 @p81 @p80 @p78 @p77 @p75 @p73 @p71 @p70 @p69 @p63 @p61 @p60 @p51 @p49 @p42 @p37 @p26 @p32) :args ((or @t40 @t39 @t44) (@list true false false true false false true false false true false false true true true false true true true true) (@list @t77 @t33 @t74 @t72 @t73 @t65 @t70 @t66 @t67 @t55 @t56 @t61 @t62 @t58 @t51 @t52 @t50 @t36 @t45 @t41))) % 0.45/0.65 (step @p92 :rule bool-double-not-elim :args (@t43)) % 0.45/0.65 (step @p93 :rule refl :args (@t45)) % 0.45/0.65 (step @p94 :rule nary_cong :premises (@p93 @p92) :args ((or @t45 (not @t44)))) % 0.45/0.65 (step @p95 :rule cnf_or_neg :args (@t45 0)) % 0.45/0.65 (step @p96 :rule eq_resolve :premises (@p95 @p94)) % 0.45/0.65 (step @p97 :rule reordering :premises (@p96) :args ((or @t43 @t45))) % 0.45/0.65 (step @p98 :rule chain_m_resolution :premises (@p97 @p91 @p30 @p22 @p21) :args (@t41 (@list true true true false) (@list @t43 @t45 @t39 @t38))) % 0.45/0.65 (step @p99 :rule refl :args (@t48)) % 0.45/0.65 (step @p100 :rule bool-double-not-elim :args (@t36)) % 0.45/0.65 (step @p101 :rule nary_cong :premises (@p100 @p99) :args ((or (not @t79) @t48))) % 0.45/0.65 (assume-push @p252 @t79) % 0.45/0.65 (step @p103 :rule skolemize :premises (@p252)) % 0.45/0.65 (step-pop @p253 :rule scope :premises (@p103)) % 0.45/0.65 (step @p104 :rule process_scope :premises (@p253) :args (@t48)) % 0.45/0.65 (step @p106 :rule implies_elim :premises (@p104)) % 0.45/0.65 (step @p107 :rule eq_resolve :premises (@p106 @p101)) % 0.45/0.65 (step @p108 :rule chain_m_resolution :premises (@p107 @p98) :args (@t36 @t80 (@list @t41))) % 0.45/0.65 (step @p109 :rule cnf_equiv_pos2 :args (@t52)) % 0.45/0.65 (step @p110 :rule reordering :premises (@p109) :args ((or @t51 @t79 @t53))) % 0.45/0.65 (assume-push @p254 @t36) % 0.45/0.65 (step @p112 :rule instantiate :premises (@p254) :args (@t78)) % 0.45/0.65 (step-pop @p255 :rule scope :premises (@p112)) % 0.45/0.65 (step @p113 :rule process_scope :premises (@p255) :args (@t83)) % 0.45/0.65 (step @p115 :rule implies_elim :premises (@p113)) % 0.45/0.65 (step @p116 :rule cnf_equiv_neg2 :args (@t62)) % 0.45/0.65 (step @p117 :rule instantiate :premises (@p5) :args ((@list @t54 @t29 @t23))) % 0.45/0.65 (step @p118 :rule cnf_equiv_pos1 :args (@t86)) % 0.45/0.65 (step @p119 :rule reordering :premises (@p118) :args ((or @t57 @t85 (not @t86)))) % 0.45/0.65 (step @p120 :rule cnf_and_pos :args (@t87 0)) % 0.45/0.65 (step @p121 :rule reordering :premises (@p120) :args ((or @t55 (not @t87)))) % 0.45/0.65 (step @p122 :rule cnf_or_pos :args (@t83)) % 0.45/0.65 (step @p123 :rule reordering :premises (@p122) :args ((or @t55 @t82 @t88))) % 0.45/0.65 (step @p124 :rule cnf_or_pos :args (@t85)) % 0.45/0.65 (step @p125 :rule reordering :premises (@p124) :args ((or @t84 @t81 (not @t85)))) % 0.45/0.65 (step @p126 :rule instantiate :premises (@p4) :args ((@list @t54 @t26 @t24))) % 0.45/0.65 (step @p127 :rule cnf_equiv_pos1 :args (@t89)) % 0.45/0.65 (step @p128 :rule reordering :premises (@p127) :args ((or (not @t84) @t87 (not @t89)))) % 0.45/0.65 (step @p129 :rule chain_m_resolution :premises (@p128 @p126 @p125 @p123 @p121 @p119 @p117 @p70 @p69) :args ((or @t58 @t88) (@list false false true true false false true false) (@list @t89 @t84 @t81 @t87 @t85 @t86 @t55 @t56))) % 0.45/0.65 (step @p130 :rule cnf_equiv_pos2 :args (@t67)) % 0.45/0.65 (step @p131 :rule reordering :premises (@p130) :args ((or @t61 @t71 @t68))) % 0.45/0.65 (step @p132 :rule instantiate :premises (@p48) :args ((@list @t27 @t30))) % 0.45/0.65 (step @p133 :rule cnf_or_neg :args (@t95 1)) % 0.45/0.65 (step @p134 :rule bool-double-not-elim :args (@t93)) % 0.45/0.65 (step @p135 :rule refl :args (@t95)) % 0.45/0.65 (step @p136 :rule nary_cong :premises (@p135 @p134) :args ((or @t95 (not @t94)))) % 0.45/0.65 (step @p137 :rule cnf_or_neg :args (@t95 0)) % 0.45/0.65 (step @p138 :rule eq_resolve :premises (@p137 @p136)) % 0.45/0.65 (step @p139 :rule reordering :premises (@p138) :args ((or @t93 @t95))) % 0.45/0.65 (step @p140 :rule instantiate :premises (@p4) :args ((@list @t91 @t26 @t25))) % 0.45/0.65 (step @p141 :rule cnf_equiv_pos1 :args (@t99)) % 0.45/0.65 (step @p142 :rule reordering :premises (@p141) :args ((or @t94 @t98 (not @t99)))) % 0.45/0.65 (step @p143 :rule instantiate :premises (@p5) :args ((@list @t91 @t29 @t23))) % 0.45/0.65 (step @p144 :rule cnf_equiv_pos2 :args (@t103)) % 0.45/0.65 (step @p145 :rule reordering :premises (@p144) :args ((or @t92 (not @t102) (not @t103)))) % 0.45/0.65 (step @p146 :rule cnf_and_pos :args (@t98 0)) % 0.45/0.65 (step @p147 :rule reordering :premises (@p146) :args ((or @t97 @t104))) % 0.45/0.65 (step @p148 :rule cnf_and_pos :args (@t98 1)) % 0.45/0.65 (step @p149 :rule reordering :premises (@p148) :args ((or @t96 @t104))) % 0.45/0.65 (step @p150 :rule cnf_or_neg :args (@t102 1)) % 0.45/0.65 (step @p151 :rule cnf_and_neg :args (@t106)) % 0.45/0.65 (step @p152 :rule reordering :premises (@p151) :args ((or (not @t97) (not @t105) @t106))) % 0.45/0.65 (step @p153 :rule instantiate :premises (@p5) :args ((@list @t91 @t24 @t23))) % 0.45/0.65 (step @p154 :rule cnf_equiv_pos1 :args (@t108)) % 0.45/0.65 (step @p155 :rule reordering :premises (@p154) :args ((or (not @t96) @t107 (not @t108)))) % 0.45/0.65 (step @p156 :rule cnf_or_pos :args (@t107)) % 0.45/0.65 (step @p157 :rule reordering :premises (@p156) :args ((or @t100 @t105 (not @t107)))) % 0.45/0.65 (step @p158 :rule chain_m_resolution :premises (@p157 @p155 @p153 @p152 @p150 @p149 @p147 @p145 @p143 @p142 @p140 @p133 @p139) :args ((or @t95 @t106) (@list false false true true false false true false false false true false) (@list @t107 @t108 @t105 @t100 @t96 @t97 @t102 @t103 @t98 @t99 @t92 @t93))) % 0.45/0.65 (step @p159 :rule instantiate :premises (@p4) :args ((@list @t91 @t26 @t24))) % 0.45/0.65 (step @p160 :rule cnf_equiv_pos2 :args (@t109)) % 0.45/0.65 (step @p161 :rule reordering :premises (@p160) :args ((or @t101 (not @t106) (not @t109)))) % 0.45/0.65 (step @p162 :rule cnf_or_neg :args (@t102 0)) % 0.45/0.65 (step @p163 :rule chain_m_resolution :premises (@p162 @p161 @p159 @p145 @p143 @p158 @p133) :args (@t95 (@list false false true false false true) (@list @t101 @t109 @t102 @t103 @t106 @t92))) % 0.45/0.65 (step @p164 :rule refl :args (@t110)) % 0.45/0.65 (step @p165 :rule bool-double-not-elim :args (@t90)) % 0.45/0.65 (step @p166 :rule nary_cong :premises (@p165 @p164) :args ((or (not @t111) @t110))) % 0.45/0.65 (assume-push @p256 @t111) % 0.45/0.65 (step @p168 :rule skolemize :premises (@p256)) % 0.45/0.65 (step-pop @p257 :rule scope :premises (@p168)) % 0.45/0.65 (step @p169 :rule process_scope :premises (@p257) :args (@t110)) % 0.45/0.65 (step @p171 :rule implies_elim :premises (@p169)) % 0.45/0.65 (step @p172 :rule eq_resolve :premises (@p171 @p166)) % 0.45/0.65 (step @p173 :rule chain_m_resolution :premises (@p172 @p163) :args (@t90 @t80 (@list @t95))) % 0.45/0.65 (step @p174 :rule cnf_equiv_pos2 :args (@t112)) % 0.45/0.65 (step @p175 :rule reordering :premises (@p174) :args ((or @t64 @t111 (not @t112)))) % 0.45/0.65 (step @p176 :rule chain_m_resolution :premises (@p175 @p173 @p132) :args (@t64 @t113 (@list @t90 @t112))) % 0.45/0.65 (step @p177 :rule cnf_and_neg :args (@t66)) % 0.45/0.65 (assume-push @p258 @t50) % 0.45/0.65 (step @p179 :rule instantiate :premises (@p258) :args (@t114)) % 0.45/0.65 (step-pop @p259 :rule scope :premises (@p179)) % 0.45/0.65 (step @p180 :rule process_scope :premises (@p259) :args (@t118)) % 0.45/0.65 (step @p182 :rule implies_elim :premises (@p180)) % 0.45/0.65 (step @p183 :rule cnf_equiv_pos2 :args (@t74)) % 0.45/0.65 (step @p184 :rule reordering :premises (@p183) :args ((or @t65 @t119 @t75))) % 0.45/0.65 (step @p185 :rule bool-double-not-elim :args (@t116)) % 0.45/0.65 (step @p186 :rule refl :args (@t121)) % 0.45/0.65 (step @p187 :rule nary_cong :premises (@p186 @p185) :args ((or @t121 (not @t117)))) % 0.45/0.65 (step @p188 :rule cnf_or_neg :args (@t121 0)) % 0.45/0.65 (step @p189 :rule eq_resolve :premises (@p188 @p187)) % 0.45/0.65 (step @p190 :rule reordering :premises (@p189) :args ((or @t116 @t121))) % 0.45/0.65 (step @p191 :rule cnf_or_neg :args (@t121 1)) % 0.45/0.65 (step @p192 :rule instantiate :premises (@p5) :args ((@list @t34 @t29 @t23))) % 0.45/0.65 (step @p193 :rule cnf_equiv_pos1 :args (@t125)) % 0.45/0.65 (step @p194 :rule reordering :premises (@p193) :args ((or @t117 @t124 (not @t125)))) % 0.45/0.65 (step @p195 :rule cnf_or_pos :args (@t118)) % 0.45/0.65 (step @p196 :rule reordering :premises (@p195) :args ((or @t117 @t115 @t126))) % 0.45/0.65 (step @p197 :rule cnf_equiv_pos2 :args (@t129)) % 0.45/0.65 (step @p198 :rule reordering :premises (@p197) :args ((or @t120 (not @t128) (not @t129)))) % 0.45/0.65 (step @p199 :rule cnf_or_pos :args (@t124)) % 0.45/0.65 (step @p200 :rule reordering :premises (@p199) :args ((or @t123 @t122 (not @t124)))) % 0.45/0.65 (step @p201 :rule cnf_and_neg :args (@t128)) % 0.45/0.65 (step @p202 :rule instantiate :premises (@p4) :args ((@list @t34 @t26 @t24))) % 0.45/0.65 (step @p203 :rule cnf_equiv_pos1 :args (@t132)) % 0.45/0.65 (step @p204 :rule reordering :premises (@p203) :args ((or (not @t123) @t131 (not @t132)))) % 0.45/0.65 (step @p205 :rule cnf_equiv_pos2 :args (@t134)) % 0.45/0.65 (step @p206 :rule reordering :premises (@p205) :args ((or @t127 (not @t133) (not @t134)))) % 0.45/0.65 (step @p207 :rule cnf_and_pos :args (@t131 1)) % 0.45/0.65 (step @p208 :rule reordering :premises (@p207) :args ((or @t130 (not @t131)))) % 0.45/0.65 (step @p209 :rule cnf_or_neg :args (@t133 0)) % 0.45/0.65 (step @p210 :rule chain_m_resolution :premises (@p209 @p208 @p206 @p15 @p204 @p202 @p201 @p200 @p198 @p14 @p196 @p194 @p192 @p191 @p190) :args ((or @t121 @t122 @t126) (@list false true false false false true false true false false false false true false) (@list @t130 @t133 @t134 @t131 @t132 @t127 @t123 @t128 @t129 @t115 @t124 @t125 @t120 @t116))) % 0.45/0.65 (step @p211 :rule refl :args (@t135)) % 0.45/0.65 (step @p212 :rule bool-double-not-elim :args (@t33)) % 0.45/0.65 (step @p213 :rule nary_cong :premises (@p212 @p211) :args ((or (not @t119) @t135))) % 0.45/0.65 (assume-push @p260 @t119) % 0.45/0.65 (step @p215 :rule skolemize :premises (@p260)) % 0.45/0.65 (step-pop @p261 :rule scope :premises (@p215)) % 0.45/0.65 (step @p216 :rule process_scope :premises (@p261) :args (@t135)) % 0.45/0.65 (step @p218 :rule implies_elim :premises (@p216)) % 0.45/0.65 (step @p219 :rule eq_resolve :premises (@p218 @p213)) % 0.45/0.65 (step @p220 :rule chain_m_resolution :premises (@p219 @p210 @p184 @p81 @p182 @p177 @p176 @p60 @p131 @p71 @p129 @p116 @p61 @p115 @p110 @p49) :args ((or @t79 @t122) (@list false true false false true false false true false false true true false false false) (@list @t121 @t33 @t74 @t118 @t65 @t64 @t50 @t66 @t67 @t58 @t61 @t62 @t83 @t51 @t52))) % 0.45/0.65 (step @p221 :rule chain_m_resolution :premises (@p220 @p108) :args (@t122 @t80 @t136)) % 0.45/0.65 (step @p222 :rule cnf_or_neg :args (@t133 1)) % 0.45/0.65 (step @p223 :rule reordering :premises (@p222) :args ((or @t137 @t133))) % 0.45/0.65 (step @p224 :rule chain_m_resolution :premises (@p223 @p221) :args (@t133 @t80 (@list @t122))) % 0.45/0.65 (step @p225 :rule chain_m_resolution :premises (@p206 @p224 @p15) :args (@t127 @t113 (@list @t133 @t134))) % 0.45/0.65 (assume-push @p262 @t36) % 0.45/0.65 (step @p227 :rule instantiate :premises (@p262) :args (@t114)) % 0.45/0.65 (step-pop @p263 :rule scope :premises (@p227)) % 0.45/0.65 (step @p228 :rule process_scope :premises (@p263) :args (@t138)) % 0.45/0.65 (step @p230 :rule implies_elim :premises (@p228)) % 0.45/0.65 (step @p231 :rule chain_m_resolution :premises (@p230 @p108) :args (@t138 @t80 @t136)) % 0.45/0.65 (step @p232 :rule cnf_or_pos :args (@t138)) % 0.45/0.65 (step @p233 :rule reordering :premises (@p232) :args ((or @t115 @t137 (not @t138)))) % 0.45/0.65 (step @p234 :rule chain_m_resolution :premises (@p233 @p221 @p231) :args (@t115 @t113 (@list @t122 @t138))) % 0.45/0.65 (step @p235 :rule chain_m_resolution :premises (@p201 @p234 @p225) :args (@t128 @t113 (@list @t115 @t127))) % 0.45/0.65 (step @p236 :rule chain_m_resolution :premises (@p198 @p235 @p14) :args (@t120 @t113 (@list @t128 @t129))) % 0.45/0.65 (step @p237 :rule chain_m_resolution :premises (@p110 @p108 @p49) :args (@t51 @t113 (@list @t36 @t52))) % 0.45/0.65 (step @p238 :rule chain_m_resolution :premises (@p116 @p61 @p237) :args (@t69 @t139 (@list @t62 @t51))) % 0.45/0.65 (step @p239 :rule chain_m_resolution :premises (@p131 @p238 @p71) :args (@t71 @t139 (@list @t61 @t67))) % 0.45/0.65 (step @p240 :rule chain_m_resolution :premises (@p177 @p239 @p176) :args (@t76 @t139 (@list @t66 @t64))) % 0.45/0.65 (step @p241 :rule chain_m_resolution :premises (@p184 @p240 @p81) :args (@t119 @t139 (@list @t65 @t74))) % 0.45/0.65 (step @p242 :rule chain_m_resolution :premises (@p219 @p241) :args (@t135 (@list true) (@list @t33))) % 0.45/0.65 (step @p243 false :rule chain_m_resolution :premises (@p191 @p242 @p236) :args (false @t139 (@list @t121 @t120))) % 0.45/0.65 ) % 0.45/0.65 % SZS output end Proof % 0.45/0.65 % cvc5 exiting %------------------------------------------------------------------------------