%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU056+1 : TPTP v9.2.1. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n003.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 08:50:31 AM UTC 2026 % Result : Theorem 0.37s 0.60s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SEU056+1 : TPTP v9.2.1. Released v3.2.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n003.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Tue Jun 2 16:25:14 EDT 2026 % 0.18/0.35 % CPUTime : % 0.28/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.37/0.60 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.60 % SZS status Theorem % 0.37/0.60 % SZS output start Proof % 0.37/0.60 ( % 0.37/0.60 (declare-sort $$unsorted 0) % 0.37/0.60 (declare-const tptp.relation_image (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.60 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.37/0.60 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 0.37/0.60 (declare-const tptp.disjoint (-> $$unsorted $$unsorted Bool)) % 0.37/0.60 (declare-const tptp.set_intersection2 (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.60 (declare-const tptp.empty_set $$unsorted) % 0.37/0.60 (declare-const tptp.one_to_one (-> $$unsorted Bool)) % 0.37/0.60 (declare-const tptp.relation (-> $$unsorted Bool)) % 0.37/0.60 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.37/0.60 (declare-const tptp.empty (-> $$unsorted Bool)) % 0.37/0.60 (declare-const tptp.function (-> $$unsorted Bool)) % 0.37/0.60 (declare-const tptp.relation_empty_yielding (-> $$unsorted Bool)) % 0.37/0.60 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.37/0.60 (define @t1 () (@var "A" $$unsorted)) % 0.37/0.60 (define @t2 () (@var "B" $$unsorted)) % 0.37/0.60 (define @t3 () (tptp.in @t1 @t2)) % 0.37/0.60 (define @t4 () (@list @t1 @t2)) % 0.37/0.60 (define @t5 () (tptp.function @t1)) % 0.37/0.60 (define @t6 () (tptp.empty @t1)) % 0.37/0.60 (define @t7 () (@list @t1)) % 0.37/0.60 (define @t8 () (tptp.relation @t1)) % 0.37/0.60 (define @t9 () (and @t8 @t5 (tptp.one_to_one @t1))) % 0.37/0.60 (define @t10 () (and @t8 @t6 @t5)) % 0.37/0.60 (define @t11 () (tptp.set_intersection2 @t1 @t2)) % 0.37/0.60 (define @t12 () (tptp.disjoint @t1 @t2)) % 0.37/0.60 (define @t13 () (forall @t4 (= @t12 (= @t11 tptp.empty_set)))) % 0.37/0.60 (define @t14 () (@list @t2)) % 0.37/0.60 (define @t15 () (tptp.relation tptp.empty_set)) % 0.37/0.60 (define @t16 () (tptp.empty tptp.empty_set)) % 0.37/0.60 (define @t17 () (tptp.powerset @t1)) % 0.37/0.60 (define @t18 () (tptp.empty @t2)) % 0.37/0.60 (define @t19 () (tptp.element @t2 @t17)) % 0.37/0.60 (define @t20 () (not @t6)) % 0.37/0.60 (define @t21 () (@var "C" $$unsorted)) % 0.37/0.60 (define @t22 () (tptp.relation_image @t21 @t2)) % 0.37/0.60 (define @t23 () (tptp.relation_image @t21 @t1)) % 0.37/0.60 (define @t24 () (= (tptp.relation_image @t21 @t11) (tptp.set_intersection2 @t23 @t22))) % 0.37/0.60 (define @t25 () (tptp.one_to_one @t21)) % 0.37/0.60 (define @t26 () (=> @t25 @t24)) % 0.37/0.60 (define @t27 () (tptp.function @t21)) % 0.37/0.60 (define @t28 () (tptp.relation @t21)) % 0.37/0.60 (define @t29 () (and @t28 @t27)) % 0.37/0.60 (define @t30 () (@list @t1 @t2 @t21)) % 0.37/0.60 (define @t31 () (forall @t30 (=> @t29 @t26))) % 0.37/0.60 (define @t32 () (tptp.disjoint @t23 @t22)) % 0.37/0.60 (define @t33 () (and @t12 @t25)) % 0.37/0.60 (define @t34 () (=> @t33 @t32)) % 0.37/0.60 (define @t35 () (forall @t30 (=> @t29 @t34))) % 0.37/0.60 (define @t36 () (not @t35)) % 0.37/0.60 (define @t37 () (tptp.relation_image @t1 tptp.empty_set)) % 0.37/0.60 (define @t38 () (=> @t8 (= @t37 tptp.empty_set))) % 0.37/0.60 (define @t39 () (forall @t7 @t38)) % 0.37/0.60 (define @t40 () (tptp.element @t1 @t2)) % 0.37/0.60 (define @t41 () (tptp.element @t2 (tptp.powerset @t21))) % 0.37/0.60 (define @t42 () (not @t25)) % 0.37/0.60 (define @t43 () (not @t12)) % 0.37/0.60 (define @t44 () (not @t27)) % 0.37/0.60 (define @t45 () (not @t28)) % 0.37/0.60 (define @t46 () (or @t45 @t44 @t43 @t42 @t32)) % 0.37/0.60 (define @t47 () (forall @t30 @t46)) % 0.37/0.60 (define @t48 () (@quantifiers_skolemize @t47 1)) % 0.37/0.60 (define @t49 () (@quantifiers_skolemize @t47 0)) % 0.37/0.60 (define @t50 () (tptp.set_intersection2 @t49 @t48)) % 0.37/0.60 (define @t51 () (tptp.disjoint @t49 @t48)) % 0.37/0.60 (define @t52 () (= @t51 (= @t50 tptp.empty_set))) % 0.37/0.60 (define @t53 () (= tptp.empty_set @t50)) % 0.37/0.60 (define @t54 () (= @t51 @t53)) % 0.37/0.60 (define @t55 () (@list false)) % 0.37/0.60 (define @t56 () (@list @t13)) % 0.37/0.60 (define @t57 () (or @t43 @t42 @t32)) % 0.37/0.60 (define @t58 () (or @t45 @t44)) % 0.37/0.60 (define @t59 () (not @t29)) % 0.37/0.60 (define @t60 () (@quantifiers_skolemize @t47 2)) % 0.37/0.60 (define @t61 () (tptp.relation_image @t60 @t48)) % 0.37/0.60 (define @t62 () (tptp.relation_image @t60 @t49)) % 0.37/0.60 (define @t63 () (tptp.disjoint @t62 @t61)) % 0.37/0.60 (define @t64 () (tptp.one_to_one @t60)) % 0.37/0.60 (define @t65 () (not @t64)) % 0.37/0.60 (define @t66 () (not @t51)) % 0.37/0.60 (define @t67 () (tptp.function @t60)) % 0.37/0.60 (define @t68 () (not @t67)) % 0.37/0.60 (define @t69 () (tptp.relation @t60)) % 0.37/0.60 (define @t70 () (not @t69)) % 0.37/0.60 (define @t71 () (or @t70 @t68 @t66 @t65 @t63)) % 0.37/0.60 (define @t72 () (@list true)) % 0.37/0.60 (define @t73 () (@list @t71)) % 0.37/0.60 (define @t74 () (@list false false)) % 0.37/0.60 (define @t75 () (tptp.set_intersection2 @t62 @t61)) % 0.37/0.60 (define @t76 () (= @t63 (= @t75 tptp.empty_set))) % 0.37/0.60 (define @t77 () (= tptp.empty_set @t75)) % 0.37/0.60 (define @t78 () (= @t63 @t77)) % 0.37/0.60 (define @t79 () (not @t77)) % 0.37/0.60 (define @t80 () (= tptp.empty_set @t37)) % 0.37/0.60 (define @t81 () (= tptp.empty_set (tptp.relation_image @t60 tptp.empty_set))) % 0.37/0.60 (define @t82 () (or @t70 @t81)) % 0.37/0.60 (define @t83 () (or @t45 @t44 @t42 @t24)) % 0.37/0.60 (define @t84 () (tptp.relation_image @t60 @t50)) % 0.37/0.60 (define @t85 () (= @t84 @t75)) % 0.37/0.60 (define @t86 () (or @t70 @t68 @t65 @t85)) % 0.37/0.60 (define @t87 () (forall @t30 @t83)) % 0.37/0.60 (define @t88 () (= @t75 @t84)) % 0.37/0.60 (define @t89 () (or @t70 @t68 @t65 @t88)) % 0.37/0.60 (define @t90 () (not @t88)) % 0.37/0.60 (define @t91 () (not @t81)) % 0.37/0.60 (define @t92 () (not @t53)) % 0.37/0.60 (define @t93 () (not @t85)) % 0.37/0.60 (define @t94 () (and @t90 @t88)) % 0.37/0.60 (assume @p1 (forall @t4 (=> @t3 (not (tptp.in @t2 @t1))))) % 0.37/0.60 (assume @p2 (forall @t7 (=> @t6 @t5))) % 0.37/0.60 (assume @p3 (forall @t7 (=> @t6 @t8))) % 0.37/0.60 (assume @p4 (forall @t7 (=> @t10 @t9))) % 0.37/0.60 (assume @p5 (forall @t4 (= @t11 (tptp.set_intersection2 @t2 @t1)))) % 0.37/0.60 (assume @p6 @t13) % 0.37/0.60 (assume @p7 (forall @t7 (exists @t14 (tptp.element @t2 @t1)))) % 0.37/0.60 (assume @p8 (and @t16 @t15 (tptp.relation_empty_yielding tptp.empty_set))) % 0.37/0.60 (assume @p9 (forall @t4 (=> (and @t8 (tptp.relation @t2)) (tptp.relation @t11)))) % 0.37/0.60 (assume @p10 (forall @t7 (not (tptp.empty @t17)))) % 0.37/0.60 (assume @p11 @t16) % 0.37/0.60 (assume @p12 (and @t16 @t15)) % 0.37/0.60 (assume @p13 (forall @t4 (= (tptp.set_intersection2 @t1 @t1) @t1))) % 0.37/0.60 (assume @p14 (exists @t7 (and @t8 @t5))) % 0.37/0.60 (assume @p15 (exists @t7 (and @t6 @t8))) % 0.37/0.60 (assume @p16 (forall @t7 (=> @t20 (exists @t14 (and @t19 (not @t18)))))) % 0.37/0.60 (assume @p17 (exists @t7 @t6)) % 0.37/0.60 (assume @p18 (exists @t7 @t10)) % 0.37/0.60 (assume @p19 (exists @t7 (and @t20 @t8))) % 0.37/0.60 (assume @p20 (forall @t7 (exists @t14 (and @t19 @t18)))) % 0.37/0.60 (assume @p21 (exists @t7 @t20)) % 0.37/0.60 (assume @p22 (exists @t7 @t9)) % 0.37/0.60 (assume @p23 (exists @t7 (and @t8 (tptp.relation_empty_yielding @t1)))) % 0.37/0.60 (assume @p24 (forall @t4 (tptp.subset @t1 @t1))) % 0.37/0.60 (assume @p25 (forall @t4 (=> @t12 (tptp.disjoint @t2 @t1)))) % 0.37/0.60 (assume @p26 @t31) % 0.37/0.60 (assume @p27 @t36) % 0.37/0.60 (assume @p28 @t39) % 0.37/0.60 (assume @p29 (forall @t4 (=> @t3 @t40))) % 0.37/0.60 (assume @p30 (forall @t7 (= (tptp.set_intersection2 @t1 tptp.empty_set) tptp.empty_set))) % 0.37/0.60 (assume @p31 (forall @t4 (=> @t40 (or @t18 @t3)))) % 0.37/0.60 (assume @p32 (forall @t4 (= (tptp.element @t1 (tptp.powerset @t2)) (tptp.subset @t1 @t2)))) % 0.37/0.61 (assume @p33 (forall @t30 (=> (and @t3 @t41) (tptp.element @t1 @t21)))) % 0.37/0.61 (assume @p34 (forall @t30 (not (and @t3 @t41 (tptp.empty @t21))))) % 0.37/0.61 (assume @p35 (forall @t7 (=> @t6 (= @t1 tptp.empty_set)))) % 0.37/0.61 (assume @p36 (forall @t4 (not (and @t3 @t18)))) % 0.37/0.61 (assume @p37 (forall @t4 (not (and @t6 (not (= @t1 @t2)) @t18)))) % 0.37/0.61 (assume @p38 true) % 0.37/0.61 (step @p39 :rule eq-symm :args (@t50 tptp.empty_set)) % 0.37/0.61 (step @p40 :rule refl :args (@t51)) % 0.37/0.61 (step @p41 :rule cong :premises (@p40 @p39) :args (@t52)) % 0.37/0.61 (step @p42 :rule refl :args (@t13)) % 0.37/0.61 (step @p43 :rule cong :premises (@p42 @p41) :args ((=> @t13 @t52))) % 0.37/0.61 (assume-push @p198 @t13) % 0.37/0.61 (step @p45 :rule instantiate :premises (@p6) :args ((@list @t49 @t48))) % 0.37/0.61 (step-pop @p199 :rule scope :premises (@p45)) % 0.37/0.61 (step @p46 :rule process_scope :premises (@p199) :args (@t52)) % 0.37/0.61 (step @p48 :rule eq_resolve :premises (@p46 @p43)) % 0.37/0.61 (step @p49 :rule implies_elim :premises (@p48)) % 0.37/0.61 (step @p50 :rule chain_m_resolution :premises (@p49 @p6) :args (@t54 @t55 @t56)) % 0.37/0.61 (step @p51 :rule aci_norm :args ((= (or @t58 @t57) @t46))) % 0.37/0.61 (step @p52 :rule aci_norm :args ((= (or (or @t43 @t42) @t32) @t57))) % 0.37/0.61 (step @p53 :rule refl :args (@t32)) % 0.37/0.61 (step @p54 :rule bool-and-de-morgan :args (@t12 @t25 true)) % 0.37/0.61 (step @p55 :rule nary_cong :premises (@p54 @p53) :args ((or (not @t33) @t32))) % 0.37/0.61 (step @p56 :rule trans :premises (@p55 @p52)) % 0.37/0.61 (step @p57 :rule bool-impl-elim :args (@t33 @t32)) % 0.37/0.61 (step @p58 :rule trans :premises (@p57 @p56)) % 0.37/0.61 (step @p59 :rule bool-and-de-morgan :args (@t28 @t27 true)) % 0.37/0.61 (step @p60 :rule nary_cong :premises (@p59 @p58) :args ((or @t59 @t34))) % 0.37/0.61 (step @p61 :rule trans :premises (@p60 @p51)) % 0.37/0.61 (step @p62 :rule bool-impl-elim :args (@t29 @t34)) % 0.37/0.61 (step @p63 :rule trans :premises (@p62 @p61)) % 0.37/0.61 (step @p64 :rule cong :premises (@p63) :args (@t35)) % 0.37/0.61 (step @p65 :rule cong :premises (@p64) :args (@t36)) % 0.37/0.61 (step @p66 :rule eq_resolve :premises (@p27 @p65)) % 0.37/0.61 (step @p67 :rule skolemize :premises (@p66)) % 0.37/0.61 (step @p68 :rule bool-double-not-elim :args (@t51)) % 0.37/0.61 (step @p69 :rule refl :args (@t71)) % 0.37/0.61 (step @p70 :rule nary_cong :premises (@p69 @p68) :args ((or @t71 (not @t66)))) % 0.37/0.61 (step @p71 :rule cnf_or_neg :args (@t71 2)) % 0.37/0.61 (step @p72 :rule eq_resolve :premises (@p71 @p70)) % 0.37/0.61 (step @p73 :rule reordering :premises (@p72) :args ((or @t51 @t71))) % 0.37/0.61 (step @p74 :rule chain_m_resolution :premises (@p73 @p67) :args (@t51 @t72 @t73)) % 0.37/0.61 (step @p75 :rule cnf_equiv_pos1 :args (@t54)) % 0.37/0.61 (step @p76 :rule reordering :premises (@p75) :args ((or @t66 @t53 (not @t54)))) % 0.37/0.61 (step @p77 :rule chain_m_resolution :premises (@p76 @p74 @p50) :args (@t53 @t74 (@list @t51 @t54))) % 0.37/0.61 (step @p78 :rule eq-symm :args (@t75 tptp.empty_set)) % 0.37/0.61 (step @p79 :rule refl :args (@t63)) % 0.37/0.61 (step @p80 :rule cong :premises (@p79 @p78) :args (@t76)) % 0.37/0.61 (step @p81 :rule cong :premises (@p42 @p80) :args ((=> @t13 @t76))) % 0.37/0.61 (assume-push @p200 @t13) % 0.37/0.61 (step @p83 :rule instantiate :premises (@p6) :args ((@list @t62 @t61))) % 0.37/0.61 (step-pop @p201 :rule scope :premises (@p83)) % 0.37/0.61 (step @p84 :rule process_scope :premises (@p201) :args (@t76)) % 0.37/0.61 (step @p86 :rule eq_resolve :premises (@p84 @p81)) % 0.37/0.61 (step @p87 :rule implies_elim :premises (@p86)) % 0.37/0.61 (step @p88 :rule chain_m_resolution :premises (@p87 @p6) :args (@t78 @t55 @t56)) % 0.37/0.61 (step @p89 :rule cnf_or_neg :args (@t71 4)) % 0.37/0.61 (step @p90 :rule chain_m_resolution :premises (@p89 @p67) :args ((not @t63) @t72 @t73)) % 0.37/0.61 (step @p91 :rule cnf_equiv_pos2 :args (@t78)) % 0.37/0.61 (step @p92 :rule reordering :premises (@p91) :args ((or @t63 @t79 (not @t78)))) % 0.37/0.61 (step @p93 :rule chain_m_resolution :premises (@p92 @p90 @p88) :args (@t79 (@list true false) (@list @t63 @t78))) % 0.37/0.61 (step @p94 :rule bool-impl-elim :args (@t8 @t80)) % 0.37/0.61 (step @p95 :rule cong :premises (@p94) :args ((forall @t7 (=> @t8 @t80)))) % 0.37/0.61 (step @p96 :rule eq-symm :args (@t37 tptp.empty_set)) % 0.37/0.61 (step @p97 :rule refl :args (@t8)) % 0.37/0.61 (step @p98 :rule cong :premises (@p97 @p96) :args (@t38)) % 0.37/0.61 (step @p99 :rule cong :premises (@p98) :args (@t39)) % 0.37/0.61 (step @p100 :rule trans :premises (@p99 @p95)) % 0.37/0.61 (step @p101 :rule eq_resolve :premises (@p28 @p100)) % 0.37/0.61 (step @p102 :rule instantiate :premises (@p101) :args ((@list @t60))) % 0.37/0.61 (step @p103 :rule bool-double-not-elim :args (@t69)) % 0.37/0.61 (step @p104 :rule nary_cong :premises (@p69 @p103) :args ((or @t71 (not @t70)))) % 0.37/0.61 (step @p105 :rule cnf_or_neg :args (@t71 0)) % 0.37/0.61 (step @p106 :rule eq_resolve :premises (@p105 @p104)) % 0.37/0.61 (step @p107 :rule reordering :premises (@p106) :args ((or @t69 @t71))) % 0.37/0.61 (step @p108 :rule chain_m_resolution :premises (@p107 @p67) :args (@t69 @t72 @t73)) % 0.37/0.61 (step @p109 :rule cnf_or_pos :args (@t82)) % 0.37/0.61 (step @p110 :rule reordering :premises (@p109) :args ((or @t70 @t81 (not @t82)))) % 0.37/0.61 (step @p111 :rule chain_m_resolution :premises (@p110 @p108 @p102) :args (@t81 @t74 (@list @t69 @t82))) % 0.37/0.61 (step @p112 :rule aci_norm :args ((= (or @t58 (or @t42 @t24)) @t83))) % 0.37/0.61 (step @p113 :rule bool-impl-elim :args (@t25 @t24)) % 0.37/0.61 (step @p114 :rule nary_cong :premises (@p59 @p113) :args ((or @t59 @t26))) % 0.37/0.61 (step @p115 :rule trans :premises (@p114 @p112)) % 0.37/0.61 (step @p116 :rule bool-impl-elim :args (@t29 @t26)) % 0.37/0.61 (step @p117 :rule trans :premises (@p116 @p115)) % 0.37/0.61 (step @p118 :rule cong :premises (@p117) :args (@t31)) % 0.37/0.61 (step @p119 :rule eq_resolve :premises (@p26 @p118)) % 0.37/0.61 (step @p120 :rule eq-symm :args (@t84 @t75)) % 0.37/0.61 (step @p121 :rule refl :args (@t65)) % 0.37/0.61 (step @p122 :rule refl :args (@t68)) % 0.37/0.61 (step @p123 :rule refl :args (@t70)) % 0.37/0.61 (step @p124 :rule nary_cong :premises (@p123 @p122 @p121 @p120) :args (@t86)) % 0.37/0.61 (step @p125 :rule refl :args (@t87)) % 0.37/0.61 (step @p126 :rule cong :premises (@p125 @p124) :args ((=> @t87 @t86))) % 0.37/0.61 (assume-push @p202 @t87) % 0.37/0.61 (step @p128 :rule instantiate :premises (@p119) :args ((@list @t49 @t48 @t60))) % 0.37/0.61 (step-pop @p203 :rule scope :premises (@p128)) % 0.37/0.61 (step @p129 :rule process_scope :premises (@p203) :args (@t86)) % 0.37/0.61 (step @p131 :rule eq_resolve :premises (@p129 @p126)) % 0.37/0.61 (step @p132 :rule implies_elim :premises (@p131)) % 0.37/0.61 (step @p133 :rule chain_m_resolution :premises (@p132 @p119) :args (@t89 @t55 (@list @t87))) % 0.37/0.61 (step @p134 :rule bool-double-not-elim :args (@t64)) % 0.37/0.61 (step @p135 :rule nary_cong :premises (@p69 @p134) :args ((or @t71 (not @t65)))) % 0.37/0.61 (step @p136 :rule cnf_or_neg :args (@t71 3)) % 0.37/0.61 (step @p137 :rule eq_resolve :premises (@p136 @p135)) % 0.37/0.61 (step @p138 :rule reordering :premises (@p137) :args ((or @t64 @t71))) % 0.37/0.61 (step @p139 :rule chain_m_resolution :premises (@p138 @p67) :args (@t64 @t72 @t73)) % 0.37/0.61 (step @p140 :rule bool-double-not-elim :args (@t67)) % 0.37/0.61 (step @p141 :rule nary_cong :premises (@p69 @p140) :args ((or @t71 (not @t68)))) % 0.37/0.61 (step @p142 :rule cnf_or_neg :args (@t71 1)) % 0.37/0.61 (step @p143 :rule eq_resolve :premises (@p142 @p141)) % 0.37/0.61 (step @p144 :rule reordering :premises (@p143) :args ((or @t67 @t71))) % 0.37/0.61 (step @p145 :rule chain_m_resolution :premises (@p144 @p67) :args (@t67 @t72 @t73)) % 0.37/0.61 (step @p146 :rule cnf_or_pos :args (@t89)) % 0.37/0.61 (step @p147 :rule reordering :premises (@p146) :args ((or @t70 @t68 @t65 @t88 (not @t89)))) % 0.37/0.61 (step @p148 :rule chain_m_resolution :premises (@p147 @p108 @p145 @p139 @p133) :args (@t88 (@list false false false false) (@list @t69 @t67 @t64 @t89))) % 0.37/0.61 (step @p149 :rule refl :args (@t90)) % 0.37/0.61 (step @p150 :rule bool-double-not-elim :args (@t77)) % 0.37/0.61 (step @p151 :rule refl :args (@t91)) % 0.37/0.61 (step @p152 :rule refl :args (@t92)) % 0.37/0.61 (step @p153 :rule nary_cong :premises (@p152 @p151 @p150 @p149) :args ((or @t92 @t91 (not @t79) @t90))) % 0.37/0.61 (assume-push @p204 @t90) % 0.37/0.61 (assume-push @p205 @t88) % 0.37/0.61 (step @p156 :rule evaluate :args ((= false true))) % 0.37/0.61 (step @p157 :rule true_intro :premises (@p148)) % 0.37/0.61 (step @p158 :rule bool-eq-false :args (@t88)) % 0.37/0.61 (step @p159 :rule symm :premises (@p158)) % 0.37/0.61 (step @p160 :rule cong :premises (@p120) :args (@t93)) % 0.37/0.61 (step @p161 :rule bool-eq-false :args (@t85)) % 0.37/0.61 (step @p162 :rule trans :premises (@p161 @p160)) % 0.37/0.61 (step @p163 :rule trans :premises (@p162 @p159)) % 0.37/0.61 (step @p164 :rule false_intro :premises (@p93)) % 0.37/0.61 (step @p165 :rule refl :args (@t75)) % 0.37/0.61 (step @p166 :rule symm :premises (@p111)) % 0.37/0.61 (step @p167 :rule symm :premises (@p77)) % 0.37/0.61 (step @p168 :rule refl :args (@t60)) % 0.37/0.61 (step @p169 :rule cong :premises (@p168 @p167) :args (@t84)) % 0.37/0.61 (step @p170 :rule trans :premises (@p169 @p166)) % 0.37/0.61 (step @p171 :rule cong :premises (@p170 @p165) :args (@t85)) % 0.37/0.61 (step @p172 :rule trans :premises (@p171 @p164)) % 0.37/0.61 (step @p173 :rule eq_resolve :premises (@p172 @p163)) % 0.37/0.61 (step @p174 :rule symm :premises (@p173)) % 0.37/0.61 (step @p175 :rule trans :premises (@p174 @p157)) % 0.37/0.61 (step @p176 false :rule eq_resolve :premises (@p175 @p156)) % 0.37/0.61 (step-pop @p206 :rule scope :premises (@p176)) % 0.37/0.61 (step-pop @p207 :rule scope :premises (@p206)) % 0.37/0.61 (step @p177 :rule process_scope :premises (@p207) :args (false)) % 0.37/0.61 (assume-push @p208 @t53) % 0.37/0.61 (assume-push @p209 @t81) % 0.37/0.61 (assume-push @p210 @t79) % 0.37/0.61 (assume-push @p211 @t88) % 0.37/0.61 (step @p158 :rule bool-eq-false :args (@t88)) % 0.37/0.61 (step @p159 :rule symm :premises (@p158)) % 0.37/0.61 (step @p160 :rule cong :premises (@p120) :args (@t93)) % 0.37/0.61 (step @p161 :rule bool-eq-false :args (@t85)) % 0.37/0.61 (step @p162 :rule trans :premises (@p161 @p160)) % 0.37/0.61 (step @p163 :rule trans :premises (@p162 @p159)) % 0.37/0.61 (step @p164 :rule false_intro :premises (@p93)) % 0.37/0.61 (step @p165 :rule refl :args (@t75)) % 0.37/0.61 (step @p166 :rule symm :premises (@p111)) % 0.37/0.61 (step @p167 :rule symm :premises (@p77)) % 0.37/0.61 (step @p168 :rule refl :args (@t60)) % 0.37/0.61 (step @p169 :rule cong :premises (@p168 @p167) :args (@t84)) % 0.37/0.61 (step @p170 :rule trans :premises (@p169 @p166)) % 0.37/0.61 (step @p171 :rule cong :premises (@p170 @p165) :args (@t85)) % 0.37/0.61 (step @p172 :rule trans :premises (@p171 @p164)) % 0.37/0.61 (step @p184 :rule eq_resolve :premises (@p172 @p163)) % 0.37/0.61 (step @p185 :rule false_elim :premises (@p184)) % 0.37/0.61 (step @p186 :rule and_intro :premises (@p185 @p148)) % 0.37/0.61 (step-pop @p212 :rule scope :premises (@p186)) % 0.37/0.61 (step-pop @p213 :rule scope :premises (@p212)) % 0.37/0.61 (step-pop @p214 :rule scope :premises (@p213)) % 0.37/0.61 (step-pop @p215 :rule scope :premises (@p214)) % 0.37/0.61 (step @p187 :rule process_scope :premises (@p215) :args (@t94)) % 0.37/0.61 (step @p192 :rule implies_elim :premises (@p187)) % 0.37/0.61 (step @p193 :rule resolution :premises (@p192 @p177) :args (true @t94)) % 0.37/0.61 (step @p194 :rule not_and :premises (@p193)) % 0.37/0.61 (step @p195 :rule eq_resolve :premises (@p194 @p153)) % 0.37/0.61 (step @p196 :rule reordering :premises (@p195) :args ((or @t77 @t92 @t91 @t90))) % 0.37/0.61 (step @p197 false :rule chain_m_resolution :premises (@p196 @p148 @p111 @p93 @p77) :args (false (@list false false true false) (@list @t88 @t81 @t77 @t53))) % 0.37/0.61 ) % 0.37/0.61 % SZS output end Proof % 0.37/0.61 % cvc5 exiting %------------------------------------------------------------------------------