%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET076+1 : TPTP v9.2.1. Bugfixed v5.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n027.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 08:47:16 AM UTC 2026 % Result : Theorem 0.38s 0.61s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET076+1 : TPTP v9.2.1. Bugfixed v5.4.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n027.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 14:51:21 EDT 2026 % 0.16/0.34 % CPUTime : % 0.31/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.38/0.61 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.61 % SZS status Theorem % 0.38/0.61 % SZS output start Proof % 0.38/0.61 ( % 0.38/0.61 (declare-sort $$unsorted 0) % 0.38/0.61 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.61 (declare-const tptp.disjoint (-> $$unsorted $$unsorted Bool)) % 0.38/0.61 (declare-const tptp.restrict (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.38/0.61 (declare-const tptp.element_relation $$unsorted) % 0.38/0.61 (declare-const tptp.first (-> $$unsorted $$unsorted)) % 0.38/0.61 (declare-const tptp.intersection (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.61 (declare-const tptp.domain_of (-> $$unsorted $$unsorted)) % 0.38/0.61 (declare-const tptp.second (-> $$unsorted $$unsorted)) % 0.38/0.61 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.61 (declare-const tptp.universal_class $$unsorted) % 0.38/0.61 (declare-const tptp.cross_product (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.61 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.61 (declare-const tptp.inductive (-> $$unsorted Bool)) % 0.38/0.61 (declare-const tptp.function (-> $$unsorted Bool)) % 0.38/0.61 (declare-const tptp.subclass (-> $$unsorted $$unsorted Bool)) % 0.38/0.61 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 0.38/0.61 (declare-const tptp.sum_class (-> $$unsorted $$unsorted)) % 0.38/0.61 (declare-const tptp.null_class $$unsorted) % 0.38/0.61 (declare-const tptp.rotate (-> $$unsorted $$unsorted)) % 0.38/0.61 (declare-const tptp.flip (-> $$unsorted $$unsorted)) % 0.38/0.61 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 0.38/0.61 (declare-const tptp.complement (-> $$unsorted $$unsorted)) % 0.38/0.61 (declare-const tptp.union (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.61 (declare-const tptp.successor (-> $$unsorted $$unsorted)) % 0.38/0.61 (declare-const tptp.successor_relation $$unsorted) % 0.38/0.61 (declare-const tptp.range_of (-> $$unsorted $$unsorted)) % 0.38/0.61 (declare-const tptp.power_class (-> $$unsorted $$unsorted)) % 0.38/0.61 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 0.38/0.61 (declare-const tptp.compose (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.61 (declare-const tptp.image (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.61 (declare-const tptp.identity_relation $$unsorted) % 0.38/0.61 (define @t1 () (@var "Y" $$unsorted)) % 0.38/0.61 (define @t2 () (@var "U" $$unsorted)) % 0.38/0.61 (define @t3 () (tptp.member @t2 @t1)) % 0.38/0.61 (define @t4 () (@var "X" $$unsorted)) % 0.38/0.61 (define @t5 () (tptp.member @t2 @t4)) % 0.38/0.61 (define @t6 () (@list @t2)) % 0.38/0.61 (define @t7 () (forall @t6 (=> @t5 @t3))) % 0.38/0.61 (define @t8 () (tptp.subclass @t4 @t1)) % 0.38/0.61 (define @t9 () (= @t8 @t7)) % 0.38/0.61 (define @t10 () (@list @t4 @t1)) % 0.38/0.61 (define @t11 () (forall @t10 @t9)) % 0.38/0.61 (define @t12 () (@list @t4)) % 0.38/0.61 (define @t13 () (or (= @t2 @t4) (= @t2 @t1))) % 0.38/0.61 (define @t14 () (tptp.member @t2 tptp.universal_class)) % 0.38/0.61 (define @t15 () (and @t14 @t13)) % 0.38/0.61 (define @t16 () (tptp.unordered_pair @t4 @t1)) % 0.38/0.61 (define @t17 () (tptp.member @t2 @t16)) % 0.38/0.61 (define @t18 () (= @t17 @t15)) % 0.38/0.61 (define @t19 () (forall (@list @t2 @t4 @t1) @t18)) % 0.38/0.61 (define @t20 () (tptp.singleton @t4)) % 0.38/0.61 (define @t21 () (tptp.singleton @t1)) % 0.38/0.61 (define @t22 () (tptp.ordered_pair @t4 @t1)) % 0.38/0.61 (define @t23 () (@var "V" $$unsorted)) % 0.38/0.61 (define @t24 () (tptp.cross_product @t4 @t1)) % 0.38/0.61 (define @t25 () (tptp.ordered_pair @t2 @t23)) % 0.38/0.61 (define @t26 () (tptp.member @t1 tptp.universal_class)) % 0.38/0.61 (define @t27 () (tptp.member @t4 tptp.universal_class)) % 0.38/0.61 (define @t28 () (@var "Z" $$unsorted)) % 0.38/0.61 (define @t29 () (@list @t4 @t1 @t28)) % 0.38/0.61 (define @t30 () (tptp.cross_product tptp.universal_class tptp.universal_class)) % 0.38/0.61 (define @t31 () (tptp.member @t28 @t1)) % 0.38/0.61 (define @t32 () (tptp.member @t28 @t4)) % 0.38/0.61 (define @t33 () (tptp.member @t28 tptp.universal_class)) % 0.38/0.61 (define @t34 () (@list @t4 @t28)) % 0.38/0.61 (define @t35 () (@var "XR" $$unsorted)) % 0.38/0.61 (define @t36 () (@var "W" $$unsorted)) % 0.38/0.61 (define @t37 () (tptp.cross_product @t30 tptp.universal_class)) % 0.38/0.61 (define @t38 () (tptp.ordered_pair @t25 @t36)) % 0.38/0.61 (define @t39 () (tptp.member @t38 @t37)) % 0.38/0.61 (define @t40 () (tptp.rotate @t4)) % 0.38/0.61 (define @t41 () (tptp.flip @t4)) % 0.38/0.61 (define @t42 () (tptp.successor @t4)) % 0.38/0.61 (define @t43 () (@list @t1)) % 0.38/0.61 (define @t44 () (@list @t28)) % 0.38/0.61 (define @t45 () (tptp.inductive @t4)) % 0.38/0.61 (define @t46 () (tptp.sum_class @t4)) % 0.38/0.61 (define @t47 () (@list @t2 @t4)) % 0.38/0.61 (define @t48 () (@var "YR" $$unsorted)) % 0.38/0.61 (define @t49 () (tptp.compose @t48 @t35)) % 0.38/0.61 (define @t50 () (@var "XF" $$unsorted)) % 0.38/0.61 (define @t51 () (tptp.function @t50)) % 0.38/0.61 (define @t52 () (@list @t50)) % 0.38/0.61 (define @t53 () (tptp.apply @t50 @t1)) % 0.38/0.61 (define @t54 () (tptp.subclass @t16 @t28)) % 0.38/0.61 (define @t55 () (tptp.member @t1 @t28)) % 0.38/0.61 (define @t56 () (tptp.member @t4 @t28)) % 0.38/0.61 (define @t57 () (and @t56 @t55)) % 0.38/0.61 (define @t58 () (forall @t29 (=> @t57 @t54))) % 0.38/0.61 (define @t59 () (not @t58)) % 0.38/0.61 (define @t60 () (not @t55)) % 0.38/0.61 (define @t61 () (not @t56)) % 0.38/0.61 (define @t62 () (or @t61 @t60 @t54)) % 0.38/0.61 (define @t63 () (forall @t29 @t62)) % 0.38/0.61 (define @t64 () (@quantifiers_skolemize @t63 2)) % 0.38/0.61 (define @t65 () (@quantifiers_skolemize @t63 1)) % 0.38/0.61 (define @t66 () (tptp.member @t65 @t64)) % 0.38/0.61 (define @t67 () (@quantifiers_skolemize @t63 0)) % 0.38/0.61 (define @t68 () (tptp.unordered_pair @t67 @t65)) % 0.38/0.61 (define @t69 () (tptp.subclass @t68 @t64)) % 0.38/0.61 (define @t70 () (not @t66)) % 0.38/0.61 (define @t71 () (tptp.member @t67 @t64)) % 0.38/0.61 (define @t72 () (not @t71)) % 0.38/0.61 (define @t73 () (or @t72 @t70 @t69)) % 0.38/0.61 (define @t74 () (@list true)) % 0.38/0.61 (define @t75 () (@list @t73)) % 0.38/0.61 (define @t76 () (forall @t6 (or (not (tptp.member @t2 @t68)) (tptp.member @t2 @t64)))) % 0.38/0.61 (define @t77 () (= @t69 @t76)) % 0.38/0.61 (define @t78 () (not @t76)) % 0.38/0.61 (define @t79 () (@list true false)) % 0.38/0.61 (define @t80 () (@quantifiers_skolemize @t76 0)) % 0.38/0.61 (define @t81 () (tptp.member @t80 @t64)) % 0.38/0.61 (define @t82 () (tptp.member @t80 @t68)) % 0.38/0.61 (define @t83 () (not @t82)) % 0.38/0.61 (define @t84 () (or @t83 @t81)) % 0.38/0.61 (define @t85 () (not @t81)) % 0.38/0.61 (define @t86 () (@list @t84)) % 0.38/0.61 (define @t87 () (= @t65 @t80)) % 0.38/0.61 (define @t88 () (= @t67 @t80)) % 0.38/0.61 (define @t89 () (or @t88 @t87)) % 0.38/0.61 (define @t90 () (and (tptp.member @t80 tptp.universal_class) @t89)) % 0.38/0.61 (define @t91 () (= @t82 @t90)) % 0.38/0.61 (define @t92 () (not @t88)) % 0.38/0.61 (define @t93 () (not @t85)) % 0.38/0.61 (define @t94 () (= true false)) % 0.38/0.61 (define @t95 () (and @t85 @t88 @t71)) % 0.38/0.61 (define @t96 () (not @t87)) % 0.38/0.61 (define @t97 () (and @t85 @t87 @t66)) % 0.38/0.61 (assume @p1 @t11) % 0.38/0.61 (assume @p2 (forall @t12 (tptp.subclass @t4 tptp.universal_class))) % 0.38/0.61 (assume @p3 (forall @t10 (= (= @t4 @t1) (and @t8 (tptp.subclass @t1 @t4))))) % 0.38/0.61 (assume @p4 @t19) % 0.38/0.61 (assume @p5 (forall @t10 (tptp.member @t16 tptp.universal_class))) % 0.38/0.61 (assume @p6 (forall @t12 (= @t20 (tptp.unordered_pair @t4 @t4)))) % 0.38/0.61 (assume @p7 (forall @t10 (= @t22 (tptp.unordered_pair @t20 (tptp.unordered_pair @t4 @t21))))) % 0.38/0.61 (assume @p8 (forall (@list @t2 @t23 @t4 @t1) (= (tptp.member @t25 @t24) (and @t5 (tptp.member @t23 @t1))))) % 0.38/0.61 (assume @p9 (forall @t10 (=> (and @t27 @t26) (and (= (tptp.first @t22) @t4) (= (tptp.second @t22) @t1))))) % 0.38/0.61 (assume @p10 (forall @t29 (=> (tptp.member @t28 @t24) (= @t28 (tptp.ordered_pair (tptp.first @t28) (tptp.second @t28)))))) % 0.38/0.61 (assume @p11 (forall @t10 (= (tptp.member @t22 tptp.element_relation) (and @t26 (tptp.member @t4 @t1))))) % 0.38/0.61 (assume @p12 (tptp.subclass tptp.element_relation @t30)) % 0.38/0.61 (assume @p13 (forall @t29 (= (tptp.member @t28 (tptp.intersection @t4 @t1)) (and @t32 @t31)))) % 0.38/0.61 (assume @p14 (forall @t34 (= (tptp.member @t28 (tptp.complement @t4)) (and @t33 (not @t32))))) % 0.38/0.61 (assume @p15 (forall (@list @t4 @t35 @t1) (= (tptp.restrict @t35 @t4 @t1) (tptp.intersection @t35 @t24)))) % 0.38/0.61 (assume @p16 (forall @t12 (not (tptp.member @t4 tptp.null_class)))) % 0.38/0.61 (assume @p17 (forall @t34 (= (tptp.member @t28 (tptp.domain_of @t4)) (and @t33 (not (= (tptp.restrict @t4 (tptp.singleton @t28) tptp.universal_class) tptp.null_class)))))) % 0.38/0.61 (assume @p18 (forall (@list @t4 @t2 @t23 @t36) (= (tptp.member @t38 @t40) (and @t39 (tptp.member (tptp.ordered_pair (tptp.ordered_pair @t23 @t36) @t2) @t4))))) % 0.38/0.61 (assume @p19 (forall @t12 (tptp.subclass @t40 @t37))) % 0.38/0.61 (assume @p20 (forall (@list @t2 @t23 @t36 @t4) (= (tptp.member @t38 @t41) (and @t39 (tptp.member (tptp.ordered_pair (tptp.ordered_pair @t23 @t2) @t36) @t4))))) % 0.38/0.61 (assume @p21 (forall @t12 (tptp.subclass @t41 @t37))) % 0.38/0.61 (assume @p22 (forall @t29 (= (tptp.member @t28 (tptp.union @t4 @t1)) (or @t32 @t31)))) % 0.38/0.61 (assume @p23 (forall @t12 (= @t42 (tptp.union @t4 @t20)))) % 0.38/0.61 (assume @p24 (tptp.subclass tptp.successor_relation @t30)) % 0.38/0.61 (assume @p25 (forall @t10 (= (tptp.member @t22 tptp.successor_relation) (and @t27 @t26 (= @t42 @t1))))) % 0.38/0.61 (assume @p26 (forall @t43 (= (tptp.inverse @t1) (tptp.domain_of (tptp.flip (tptp.cross_product @t1 tptp.universal_class)))))) % 0.38/0.61 (assume @p27 (forall @t44 (= (tptp.range_of @t28) (tptp.domain_of (tptp.inverse @t28))))) % 0.38/0.61 (assume @p28 (forall (@list @t4 @t35) (= (tptp.image @t35 @t4) (tptp.range_of (tptp.restrict @t35 @t4 tptp.universal_class))))) % 0.38/0.61 (assume @p29 (forall @t12 (= @t45 (and (tptp.member tptp.null_class @t4) (tptp.subclass (tptp.image tptp.successor_relation @t4) @t4))))) % 0.38/0.61 (assume @p30 (exists @t12 (and @t27 @t45 (forall @t43 (=> (tptp.inductive @t1) @t8))))) % 0.38/0.61 (assume @p31 (forall @t47 (= (tptp.member @t2 @t46) (exists @t43 (and @t3 (tptp.member @t1 @t4)))))) % 0.38/0.61 (assume @p32 (forall @t12 (=> @t27 (tptp.member @t46 tptp.universal_class)))) % 0.38/0.61 (assume @p33 (forall @t47 (= (tptp.member @t2 (tptp.power_class @t4)) (and @t14 (tptp.subclass @t2 @t4))))) % 0.38/0.61 (assume @p34 (forall @t6 (=> @t14 (tptp.member (tptp.power_class @t2) tptp.universal_class)))) % 0.38/0.61 (assume @p35 (forall (@list @t35 @t48) (tptp.subclass @t49 @t30))) % 0.38/0.61 (assume @p36 (forall (@list @t35 @t48 @t2 @t23) (= (tptp.member @t25 @t49) (and @t14 (tptp.member @t23 (tptp.image @t48 (tptp.image @t35 (tptp.singleton @t2)))))))) % 0.38/0.61 (assume @p37 (forall @t44 (= (tptp.member @t28 tptp.identity_relation) (exists @t12 (and @t27 (= @t28 (tptp.ordered_pair @t4 @t4))))))) % 0.38/0.61 (assume @p38 (forall @t52 (= @t51 (and (tptp.subclass @t50 @t30) (tptp.subclass (tptp.compose @t50 (tptp.inverse @t50)) tptp.identity_relation))))) % 0.38/0.61 (assume @p39 (forall (@list @t4 @t50) (=> (and @t27 @t51) (tptp.member (tptp.image @t50 @t4) tptp.universal_class)))) % 0.38/0.61 (assume @p40 (forall @t10 (= (tptp.disjoint @t4 @t1) (forall @t6 (not (and @t5 @t3)))))) % 0.38/0.61 (assume @p41 (forall @t12 (=> (not (= @t4 tptp.null_class)) (exists @t6 (and @t14 @t5 (tptp.disjoint @t2 @t4)))))) % 0.38/0.61 (assume @p42 (forall (@list @t50 @t1) (= @t53 (tptp.sum_class (tptp.image @t50 @t21))))) % 0.38/0.61 (assume @p43 (exists @t52 (and @t51 (forall @t43 (=> @t26 (or (= @t1 tptp.null_class) (tptp.member @t53 @t1))))))) % 0.38/0.61 (assume @p44 @t59) % 0.38/0.61 (assume @p45 true) % 0.38/0.61 (step @p46 :rule aci_norm :args ((= (or (or @t61 @t60) @t54) @t62))) % 0.38/0.61 (step @p47 :rule refl :args (@t54)) % 0.38/0.61 (step @p48 :rule bool-and-de-morgan :args (@t56 @t55 true)) % 0.38/0.61 (step @p49 :rule nary_cong :premises (@p48 @p47) :args ((or (not @t57) @t54))) % 0.38/0.61 (step @p50 :rule trans :premises (@p49 @p46)) % 0.38/0.61 (step @p51 :rule bool-impl-elim :args (@t57 @t54)) % 0.38/0.61 (step @p52 :rule trans :premises (@p51 @p50)) % 0.38/0.61 (step @p53 :rule cong :premises (@p52) :args (@t58)) % 0.38/0.61 (step @p54 :rule cong :premises (@p53) :args (@t59)) % 0.38/0.61 (step @p55 :rule eq_resolve :premises (@p44 @p54)) % 0.38/0.61 (step @p56 :rule skolemize :premises (@p55)) % 0.38/0.61 (step @p57 :rule bool-double-not-elim :args (@t66)) % 0.38/0.61 (step @p58 :rule refl :args (@t73)) % 0.38/0.61 (step @p59 :rule nary_cong :premises (@p58 @p57) :args ((or @t73 (not @t70)))) % 0.38/0.61 (step @p60 :rule cnf_or_neg :args (@t73 1)) % 0.38/0.61 (step @p61 :rule eq_resolve :premises (@p60 @p59)) % 0.38/0.61 (step @p62 :rule reordering :premises (@p61) :args ((or @t66 @t73))) % 0.38/0.61 (step @p63 :rule chain_m_resolution :premises (@p62 @p56) :args (@t66 @t74 @t75)) % 0.38/0.61 (step @p64 :rule bool-impl-elim :args (@t5 @t3)) % 0.38/0.61 (step @p65 :rule cong :premises (@p64) :args (@t7)) % 0.38/0.61 (step @p66 :rule refl :args (@t8)) % 0.38/0.61 (step @p67 :rule cong :premises (@p66 @p65) :args (@t9)) % 0.38/0.61 (step @p68 :rule cong :premises (@p67) :args (@t11)) % 0.38/0.61 (step @p69 :rule eq_resolve :premises (@p1 @p68)) % 0.38/0.61 (step @p70 :rule instantiate :premises (@p69) :args ((@list @t68 @t64))) % 0.38/0.61 (step @p71 :rule cnf_or_neg :args (@t73 2)) % 0.38/0.61 (step @p72 :rule chain_m_resolution :premises (@p71 @p56) :args ((not @t69) @t74 @t75)) % 0.38/0.61 (step @p73 :rule cnf_equiv_pos2 :args (@t77)) % 0.38/0.61 (step @p74 :rule reordering :premises (@p73) :args ((or @t69 @t78 (not @t77)))) % 0.38/0.61 (step @p75 :rule chain_m_resolution :premises (@p74 @p72 @p70) :args (@t78 @t79 (@list @t69 @t77))) % 0.38/0.61 (step @p76 :rule skolemize :premises (@p75)) % 0.38/0.61 (step @p77 :rule cnf_or_neg :args (@t84 1)) % 0.38/0.61 (step @p78 :rule chain_m_resolution :premises (@p77 @p76) :args (@t85 @t74 @t86)) % 0.38/0.61 (step @p79 :rule eq-symm :args (@t2 @t1)) % 0.38/0.61 (step @p80 :rule eq-symm :args (@t2 @t4)) % 0.38/0.61 (step @p81 :rule nary_cong :premises (@p80 @p79) :args (@t13)) % 0.38/0.61 (step @p82 :rule refl :args (@t14)) % 0.38/0.61 (step @p83 :rule nary_cong :premises (@p82 @p81) :args (@t15)) % 0.38/0.61 (step @p84 :rule refl :args (@t17)) % 0.38/0.61 (step @p85 :rule cong :premises (@p84 @p83) :args (@t18)) % 0.38/0.61 (step @p86 :rule cong :premises (@p85) :args (@t19)) % 0.38/0.61 (step @p87 :rule eq_resolve :premises (@p4 @p86)) % 0.38/0.61 (step @p88 :rule instantiate :premises (@p87) :args ((@list @t80 @t67 @t65))) % 0.38/0.61 (step @p89 :rule bool-double-not-elim :args (@t82)) % 0.38/0.61 (step @p90 :rule refl :args (@t84)) % 0.38/0.61 (step @p91 :rule nary_cong :premises (@p90 @p89) :args ((or @t84 (not @t83)))) % 0.38/0.61 (step @p92 :rule cnf_or_neg :args (@t84 0)) % 0.38/0.61 (step @p93 :rule eq_resolve :premises (@p92 @p91)) % 0.38/0.61 (step @p94 :rule reordering :premises (@p93) :args ((or @t82 @t84))) % 0.38/0.61 (step @p95 :rule chain_m_resolution :premises (@p94 @p76) :args (@t82 @t74 @t86)) % 0.38/0.61 (step @p96 :rule cnf_equiv_pos1 :args (@t91)) % 0.38/0.61 (step @p97 :rule reordering :premises (@p96) :args ((or @t83 @t90 (not @t91)))) % 0.38/0.61 (step @p98 :rule chain_m_resolution :premises (@p97 @p95 @p88) :args (@t90 (@list false false) (@list @t82 @t91))) % 0.38/0.61 (step @p99 :rule cnf_and_pos :args (@t90 1)) % 0.38/0.61 (step @p100 :rule reordering :premises (@p99) :args ((or @t89 (not @t90)))) % 0.38/0.61 (step @p101 :rule chain_m_resolution :premises (@p100 @p98) :args (@t89 (@list false) (@list @t90))) % 0.38/0.61 (step @p102 :rule bool-double-not-elim :args (@t71)) % 0.38/0.61 (step @p103 :rule nary_cong :premises (@p58 @p102) :args ((or @t73 (not @t72)))) % 0.38/0.61 (step @p104 :rule cnf_or_neg :args (@t73 0)) % 0.38/0.61 (step @p105 :rule eq_resolve :premises (@p104 @p103)) % 0.38/0.61 (step @p106 :rule reordering :premises (@p105) :args ((or @t71 @t73))) % 0.38/0.61 (step @p107 :rule chain_m_resolution :premises (@p106 @p56) :args (@t71 @t74 @t75)) % 0.38/0.61 (step @p108 :rule refl :args (@t92)) % 0.38/0.61 (step @p109 :rule bool-double-not-elim :args (@t81)) % 0.38/0.61 (step @p110 :rule refl :args (@t72)) % 0.38/0.61 (step @p111 :rule nary_cong :premises (@p110 @p109 @p108) :args ((or @t72 @t93 @t92))) % 0.38/0.61 (assume-push @p171 @t85) % 0.38/0.61 (assume-push @p172 @t88) % 0.38/0.61 (assume-push @p173 @t71) % 0.38/0.61 (step @p115 :rule evaluate :args (@t94)) % 0.38/0.61 (step @p116 :rule false_intro :premises (@p78)) % 0.38/0.61 (step @p117 :rule refl :args (@t64)) % 0.38/0.61 (step @p118 :rule cong :premises (@p172 @p117) :args (@t71)) % 0.38/0.61 (step @p119 :rule true_intro :premises (@p107)) % 0.38/0.61 (step @p120 :rule symm :premises (@p119)) % 0.38/0.61 (step @p121 :rule trans :premises (@p120 @p118 @p116)) % 0.38/0.61 (step @p122 false :rule eq_resolve :premises (@p121 @p115)) % 0.38/0.61 (step-pop @p174 :rule scope :premises (@p122)) % 0.38/0.61 (step-pop @p175 :rule scope :premises (@p174)) % 0.38/0.61 (step-pop @p176 :rule scope :premises (@p175)) % 0.38/0.61 (step @p123 :rule process_scope :premises (@p176) :args (false)) % 0.38/0.61 (assume-push @p177 @t71) % 0.38/0.61 (assume-push @p178 @t85) % 0.38/0.61 (assume-push @p179 @t88) % 0.38/0.61 (step @p130 :rule and_intro :premises (@p78 @p179 @p107)) % 0.38/0.61 (step-pop @p180 :rule scope :premises (@p130)) % 0.38/0.61 (step-pop @p181 :rule scope :premises (@p180)) % 0.38/0.61 (step-pop @p182 :rule scope :premises (@p181)) % 0.38/0.61 (step @p131 :rule process_scope :premises (@p182) :args (@t95)) % 0.38/0.61 (step @p135 :rule implies_elim :premises (@p131)) % 0.38/0.61 (step @p136 :rule resolution :premises (@p135 @p123) :args (true @t95)) % 0.38/0.61 (step @p137 :rule not_and :premises (@p136)) % 0.38/0.61 (step @p138 :rule eq_resolve :premises (@p137 @p111)) % 0.38/0.61 (step @p139 :rule chain_m_resolution :premises (@p138 @p107 @p78) :args (@t92 (@list false true) (@list @t71 @t81))) % 0.38/0.61 (step @p140 :rule cnf_or_pos :args (@t89)) % 0.38/0.61 (step @p141 :rule reordering :premises (@p140) :args ((or @t88 @t87 (not @t89)))) % 0.38/0.61 (step @p142 :rule chain_m_resolution :premises (@p141 @p139 @p101) :args (@t87 @t79 (@list @t88 @t89))) % 0.38/0.61 (step @p143 :rule refl :args (@t96)) % 0.38/0.61 (step @p144 :rule refl :args (@t70)) % 0.38/0.61 (step @p145 :rule nary_cong :premises (@p144 @p109 @p143) :args ((or @t70 @t93 @t96))) % 0.38/0.61 (assume-push @p183 @t85) % 0.38/0.61 (assume-push @p184 @t87) % 0.38/0.61 (assume-push @p185 @t66) % 0.38/0.61 (step @p115 :rule evaluate :args (@t94)) % 0.38/0.61 (step @p116 :rule false_intro :premises (@p78)) % 0.38/0.61 (step @p117 :rule refl :args (@t64)) % 0.38/0.61 (step @p149 :rule cong :premises (@p184 @p117) :args (@t66)) % 0.38/0.61 (step @p150 :rule true_intro :premises (@p63)) % 0.38/0.61 (step @p151 :rule symm :premises (@p150)) % 0.38/0.61 (step @p152 :rule trans :premises (@p151 @p149 @p116)) % 0.38/0.61 (step @p153 false :rule eq_resolve :premises (@p152 @p115)) % 0.38/0.61 (step-pop @p186 :rule scope :premises (@p153)) % 0.38/0.61 (step-pop @p187 :rule scope :premises (@p186)) % 0.38/0.61 (step-pop @p188 :rule scope :premises (@p187)) % 0.38/0.61 (step @p154 :rule process_scope :premises (@p188) :args (false)) % 0.38/0.61 (assume-push @p189 @t66) % 0.38/0.61 (assume-push @p190 @t85) % 0.38/0.61 (assume-push @p191 @t87) % 0.38/0.61 (step @p161 :rule and_intro :premises (@p78 @p191 @p63)) % 0.38/0.61 (step-pop @p192 :rule scope :premises (@p161)) % 0.38/0.61 (step-pop @p193 :rule scope :premises (@p192)) % 0.38/0.61 (step-pop @p194 :rule scope :premises (@p193)) % 0.38/0.61 (step @p162 :rule process_scope :premises (@p194) :args (@t97)) % 0.38/0.61 (step @p166 :rule implies_elim :premises (@p162)) % 0.38/0.61 (step @p167 :rule resolution :premises (@p166 @p154) :args (true @t97)) % 0.38/0.61 (step @p168 :rule not_and :premises (@p167)) % 0.38/0.61 (step @p169 :rule eq_resolve :premises (@p168 @p145)) % 0.38/0.61 (step @p170 false :rule chain_m_resolution :premises (@p169 @p142 @p78 @p63) :args (false (@list false true false) (@list @t87 @t81 @t66))) % 0.38/0.61 ) % 0.38/0.61 % SZS output end Proof % 0.38/0.61 % cvc5 exiting %------------------------------------------------------------------------------