%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU195+1 : TPTP v9.2.1. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n025.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:50:54 AM UTC 2026 % Result : Theorem 0.37s 0.63s % Output : Proof 0.34s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU195+1 : TPTP v9.2.1. Released v3.3.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n025.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 16:37:46 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.37/0.63 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.63 % SZS status Theorem % 0.37/0.63 % SZS output start Proof % 0.37/0.63 ( % 0.37/0.63 (declare-sort $$unsorted 0) % 0.37/0.63 (declare-const tptp.empty_set $$unsorted) % 0.37/0.63 (declare-const tptp.identity_relation (-> $$unsorted $$unsorted)) % 0.37/0.63 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 0.37/0.63 (declare-const tptp.relation_composition (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.63 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 0.37/0.63 (declare-const tptp.relation_dom_restriction (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.63 (declare-const tptp.empty (-> $$unsorted Bool)) % 0.37/0.63 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.63 (declare-const tptp.relation (-> $$unsorted Bool)) % 0.37/0.63 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.63 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.37/0.63 (define @t1 () (@var "A" $$unsorted)) % 0.37/0.63 (define @t2 () (@var "B" $$unsorted)) % 0.37/0.63 (define @t3 () (tptp.in @t1 @t2)) % 0.37/0.63 (define @t4 () (@list @t1 @t2)) % 0.37/0.63 (define @t5 () (tptp.relation @t1)) % 0.37/0.63 (define @t6 () (tptp.empty @t1)) % 0.37/0.63 (define @t7 () (@list @t1)) % 0.37/0.63 (define @t8 () (tptp.unordered_pair @t1 @t2)) % 0.37/0.63 (define @t9 () (@var "E" $$unsorted)) % 0.37/0.63 (define @t10 () (@var "D" $$unsorted)) % 0.37/0.63 (define @t11 () (tptp.ordered_pair @t10 @t9)) % 0.37/0.63 (define @t12 () (tptp.in @t11 @t1)) % 0.37/0.63 (define @t13 () (@var "C" $$unsorted)) % 0.37/0.63 (define @t14 () (@list @t10 @t9)) % 0.37/0.63 (define @t15 () (tptp.relation_dom_restriction @t1 @t2)) % 0.37/0.63 (define @t16 () (= (= @t13 @t15) (forall @t14 (= (tptp.in @t11 @t13) (and (tptp.in @t10 @t2) @t12))))) % 0.37/0.63 (define @t17 () (tptp.relation @t13)) % 0.37/0.63 (define @t18 () (@list @t2 @t13)) % 0.37/0.63 (define @t19 () (forall @t18 (=> @t17 @t16))) % 0.37/0.63 (define @t20 () (=> @t5 @t19)) % 0.37/0.63 (define @t21 () (forall @t7 @t20)) % 0.37/0.63 (define @t22 () (tptp.ordered_pair @t13 @t10)) % 0.37/0.63 (define @t23 () (= @t1 @t2)) % 0.37/0.63 (define @t24 () (tptp.relation @t2)) % 0.37/0.63 (define @t25 () (@list @t2)) % 0.37/0.63 (define @t26 () (tptp.singleton @t1)) % 0.37/0.63 (define @t27 () (tptp.ordered_pair @t1 @t2)) % 0.37/0.63 (define @t28 () (tptp.relation_composition @t1 @t2)) % 0.37/0.63 (define @t29 () (tptp.relation @t28)) % 0.37/0.63 (define @t30 () (and @t5 @t24)) % 0.37/0.63 (define @t31 () (forall @t4 (=> @t30 @t29))) % 0.37/0.63 (define @t32 () (tptp.identity_relation @t1)) % 0.37/0.63 (define @t33 () (tptp.relation_composition @t2 @t1)) % 0.37/0.63 (define @t34 () (and @t6 @t24)) % 0.37/0.63 (define @t35 () (tptp.empty tptp.empty_set)) % 0.37/0.63 (define @t36 () (not @t6)) % 0.37/0.63 (define @t37 () (tptp.element @t1 @t2)) % 0.37/0.63 (define @t38 () (tptp.empty @t2)) % 0.37/0.63 (define @t39 () (= (tptp.in @t27 (tptp.relation_composition (tptp.identity_relation @t13) @t10)) (and (tptp.in @t1 @t13) (tptp.in @t27 @t10)))) % 0.37/0.63 (define @t40 () (tptp.relation @t10)) % 0.37/0.63 (define @t41 () (@list @t1 @t2 @t13 @t10)) % 0.37/0.63 (define @t42 () (forall @t41 (=> @t40 @t39))) % 0.37/0.63 (define @t43 () (= (tptp.relation_dom_restriction @t2 @t1) (tptp.relation_composition @t32 @t2))) % 0.37/0.63 (define @t44 () (forall @t4 (=> @t24 @t43))) % 0.37/0.63 (define @t45 () (not @t44)) % 0.37/0.63 (define @t46 () (@var "BOUND_VARIABLE_7571" $$unsorted)) % 0.37/0.63 (define @t47 () (@var "BOUND_VARIABLE_7573" $$unsorted)) % 0.37/0.63 (define @t48 () (= (= @t47 (tptp.relation_dom_restriction @t1 @t46)) (forall @t14 (= (tptp.in @t11 @t47) (and (tptp.in @t10 @t46) @t12))))) % 0.37/0.63 (define @t49 () (not (tptp.relation @t47))) % 0.37/0.63 (define @t50 () (not @t5)) % 0.37/0.63 (define @t51 () (or @t50 @t49 @t48)) % 0.37/0.63 (define @t52 () (or @t49 @t48)) % 0.37/0.63 (define @t53 () (or @t50 @t52)) % 0.37/0.63 (define @t54 () (@list @t1 @t46 @t47)) % 0.37/0.63 (define @t55 () (forall @t54 @t53)) % 0.37/0.63 (define @t56 () (@list @t46 @t47)) % 0.37/0.63 (define @t57 () (forall @t56 @t53)) % 0.37/0.63 (define @t58 () (forall @t56 @t52)) % 0.37/0.63 (define @t59 () (or @t50 @t58)) % 0.37/0.63 (define @t60 () (forall @t18 (or (not @t17) @t16))) % 0.37/0.63 (define @t61 () (not @t24)) % 0.37/0.63 (define @t62 () (forall @t4 (or @t61 @t43))) % 0.37/0.63 (define @t63 () (@quantifiers_skolemize @t62 1)) % 0.37/0.63 (define @t64 () (@quantifiers_skolemize @t62 0)) % 0.37/0.63 (define @t65 () (tptp.identity_relation @t64)) % 0.37/0.63 (define @t66 () (tptp.relation_composition @t65 @t63)) % 0.37/0.63 (define @t67 () (tptp.in @t11 @t66)) % 0.37/0.63 (define @t68 () (and (tptp.in @t10 @t64) (tptp.in @t11 @t63))) % 0.37/0.63 (define @t69 () (forall @t14 (= @t67 @t68))) % 0.37/0.63 (define @t70 () (tptp.relation_dom_restriction @t63 @t64)) % 0.37/0.63 (define @t71 () (= (= @t66 @t70) @t69)) % 0.37/0.63 (define @t72 () (tptp.relation @t66)) % 0.37/0.63 (define @t73 () (not @t72)) % 0.37/0.63 (define @t74 () (tptp.relation @t63)) % 0.37/0.63 (define @t75 () (not @t74)) % 0.37/0.63 (define @t76 () (or @t75 @t73 @t71)) % 0.37/0.63 (define @t77 () (forall @t54 @t51)) % 0.37/0.63 (define @t78 () (forall @t14 (= @t68 @t67))) % 0.37/0.63 (define @t79 () (= @t70 @t66)) % 0.37/0.63 (define @t80 () (= @t79 @t78)) % 0.37/0.63 (define @t81 () (or @t75 @t73 @t80)) % 0.37/0.63 (define @t82 () (or @t75 @t79)) % 0.37/0.63 (define @t83 () (@list true)) % 0.37/0.63 (define @t84 () (@list @t82)) % 0.37/0.63 (define @t85 () (tptp.relation @t65)) % 0.37/0.63 (define @t86 () (not @t85)) % 0.37/0.63 (define @t87 () (or @t86 @t75 @t72)) % 0.37/0.63 (define @t88 () (@list false false false)) % 0.37/0.63 (define @t89 () (not @t78)) % 0.37/0.63 (define @t90 () (@list true false)) % 0.37/0.63 (define @t91 () (@quantifiers_skolemize @t78 1)) % 0.37/0.63 (define @t92 () (@quantifiers_skolemize @t78 0)) % 0.37/0.63 (define @t93 () (tptp.ordered_pair @t92 @t91)) % 0.37/0.63 (define @t94 () (tptp.in @t93 @t66)) % 0.37/0.63 (define @t95 () (and (tptp.in @t92 @t64) (tptp.in @t93 @t63))) % 0.37/0.63 (define @t96 () (= @t95 @t94)) % 0.37/0.63 (define @t97 () (or @t75 @t96)) % 0.37/0.63 (define @t98 () (not @t97)) % 0.37/0.63 (define @t99 () (or @t75 (= @t94 @t95))) % 0.37/0.63 (define @t100 () (forall @t41 (or (not @t40) @t39))) % 0.37/0.63 (assume @p1 (forall @t4 (=> @t3 (not (tptp.in @t2 @t1))))) % 0.37/0.63 (assume @p2 (forall @t7 (=> @t6 @t5))) % 0.37/0.63 (assume @p3 (forall @t4 (= @t8 (tptp.unordered_pair @t2 @t1)))) % 0.37/0.63 (assume @p4 @t21) % 0.37/0.63 (assume @p5 (forall @t7 (=> @t5 (forall @t25 (=> @t24 (= @t23 (forall (@list @t13 @t10) (= (tptp.in @t22 @t1) (tptp.in @t22 @t2))))))))) % 0.37/0.63 (assume @p6 (forall @t4 (= @t27 (tptp.unordered_pair @t8 @t26)))) % 0.37/0.63 (assume @p7 true) % 0.37/0.63 (assume @p8 @t31) % 0.37/0.63 (assume @p9 (forall @t7 (tptp.relation @t32))) % 0.37/0.63 (assume @p10 (forall @t4 (=> @t5 (tptp.relation @t15)))) % 0.37/0.63 (assume @p11 (forall @t7 (exists @t25 (tptp.element @t2 @t1)))) % 0.37/0.63 (assume @p12 (forall @t4 (=> @t34 (and (tptp.empty @t33) (tptp.relation @t33))))) % 0.37/0.63 (assume @p13 @t35) % 0.37/0.63 (assume @p14 (forall @t4 (not (tptp.empty @t27)))) % 0.37/0.63 (assume @p15 (forall @t7 (not (tptp.empty @t26)))) % 0.37/0.63 (assume @p16 (forall @t4 (not (tptp.empty @t8)))) % 0.37/0.63 (assume @p17 (and @t35 (tptp.relation tptp.empty_set))) % 0.37/0.63 (assume @p18 (forall @t4 (=> @t34 (and (tptp.empty @t28) @t29)))) % 0.37/0.63 (assume @p19 (exists @t7 (and @t6 @t5))) % 0.37/0.63 (assume @p20 (exists @t7 @t6)) % 0.37/0.63 (assume @p21 (exists @t7 (and @t36 @t5))) % 0.37/0.63 (assume @p22 (exists @t7 @t36)) % 0.37/0.63 (assume @p23 (forall @t4 (=> @t3 @t37))) % 0.37/0.63 (assume @p24 (forall @t4 (=> @t37 (or @t38 @t3)))) % 0.37/0.63 (assume @p25 (forall @t7 (=> @t6 (= @t1 tptp.empty_set)))) % 0.37/0.63 (assume @p26 @t42) % 0.37/0.63 (assume @p27 (forall @t4 (not (and @t3 @t38)))) % 0.37/0.63 (assume @p28 (forall @t4 (not (and @t6 (not @t23) @t38)))) % 0.37/0.63 (assume @p29 @t45) % 0.37/0.63 (step @p30 :rule bool-impl-elim :args (@t40 @t39)) % 0.37/0.63 (step @p31 :rule cong :premises (@p30) :args (@t42)) % 0.37/0.63 (step @p32 :rule eq_resolve :premises (@p26 @p31)) % 0.37/0.63 (step @p33 :rule aci_norm :args ((= @t53 @t51))) % 0.37/0.63 (step @p34 :rule cong :premises (@p33) :args (@t55)) % 0.37/0.63 (step @p35 :rule quant-merge-prenex :args ((= (forall @t7 @t57) @t55))) % 0.37/0.63 (step @p36 :rule alpha_equiv :args (@t58 (@list @t46 @t47) (@list @t2 @t13))) % 0.37/0.63 (step @p37 :rule refl :args (@t50)) % 0.37/0.63 (step @p38 :rule nary_cong :premises (@p37 @p36) :args (@t59)) % 0.37/0.63 (step @p39 :rule quant-miniscope-or :args ((= @t57 @t59))) % 0.37/0.63 (step @p40 :rule trans :premises (@p39 @p38)) % 0.37/0.63 (step @p41 :rule symm :premises (@p40)) % 0.37/0.63 (step @p42 :rule cong :premises (@p41) :args ((forall @t7 (or @t50 @t60)))) % 0.37/0.63 (step @p43 :rule trans :premises (@p42 @p35)) % 0.37/0.63 (step @p44 :rule trans :premises (@p43 @p34)) % 0.37/0.63 (step @p45 :rule bool-impl-elim :args (@t5 @t60)) % 0.37/0.63 (step @p46 :rule cong :premises (@p45) :args ((forall @t7 (=> @t5 @t60)))) % 0.37/0.63 (step @p47 :rule trans :premises (@p46 @p44)) % 0.37/0.63 (step @p48 :rule bool-impl-elim :args (@t17 @t16)) % 0.37/0.63 (step @p49 :rule cong :premises (@p48) :args (@t19)) % 0.37/0.63 (step @p50 :rule refl :args (@t5)) % 0.37/0.63 (step @p51 :rule cong :premises (@p50 @p49) :args (@t20)) % 0.37/0.63 (step @p52 :rule cong :premises (@p51) :args (@t21)) % 0.37/0.63 (step @p53 :rule trans :premises (@p52 @p47)) % 0.37/0.63 (step @p54 :rule eq_resolve :premises (@p4 @p53)) % 0.37/0.63 (step @p55 :rule eq-symm :args (@t67 @t68)) % 0.37/0.63 (step @p56 :rule cong :premises (@p55) :args (@t69)) % 0.37/0.63 (step @p57 :rule eq-symm :args (@t66 @t70)) % 0.37/0.63 (step @p58 :rule cong :premises (@p57 @p56) :args (@t71)) % 0.37/0.63 (step @p59 :rule refl :args (@t73)) % 0.37/0.63 (step @p60 :rule refl :args (@t75)) % 0.37/0.63 (step @p61 :rule nary_cong :premises (@p60 @p59 @p58) :args (@t76)) % 0.34/0.63 (step @p62 :rule refl :args (@t77)) % 0.34/0.63 (step @p63 :rule cong :premises (@p62 @p61) :args ((=> @t77 @t76))) % 0.34/0.63 (assume-push @p120 @t77) % 0.34/0.63 (step @p65 :rule instantiate :premises (@p54) :args ((@list @t63 @t64 @t66))) % 0.34/0.63 (step-pop @p121 :rule scope :premises (@p65)) % 0.34/0.63 (step @p66 :rule process_scope :premises (@p121) :args (@t76)) % 0.34/0.63 (step @p68 :rule eq_resolve :premises (@p66 @p63)) % 0.34/0.63 (step @p69 :rule implies_elim :premises (@p68)) % 0.34/0.63 (step @p70 :rule chain_m_resolution :premises (@p69 @p54) :args (@t81 (@list false) (@list @t77))) % 0.34/0.63 (step @p71 :rule aci_norm :args ((= (or (or @t50 @t61) @t29) (or @t50 @t61 @t29)))) % 0.34/0.63 (step @p72 :rule refl :args (@t29)) % 0.34/0.63 (step @p73 :rule bool-and-de-morgan :args (@t5 @t24 true)) % 0.34/0.63 (step @p74 :rule nary_cong :premises (@p73 @p72) :args ((or (not @t30) @t29))) % 0.34/0.63 (step @p75 :rule trans :premises (@p74 @p71)) % 0.34/0.63 (step @p76 :rule bool-impl-elim :args (@t30 @t29)) % 0.34/0.63 (step @p77 :rule trans :premises (@p76 @p75)) % 0.34/0.63 (step @p78 :rule cong :premises (@p77) :args (@t31)) % 0.34/0.63 (step @p79 :rule eq_resolve :premises (@p8 @p78)) % 0.34/0.63 (step @p80 :rule instantiate :premises (@p79) :args ((@list @t65 @t63))) % 0.34/0.63 (step @p81 :rule instantiate :premises (@p9) :args ((@list @t64))) % 0.34/0.63 (step @p82 :rule bool-impl-elim :args (@t24 @t43)) % 0.34/0.63 (step @p83 :rule cong :premises (@p82) :args (@t44)) % 0.34/0.63 (step @p84 :rule cong :premises (@p83) :args (@t45)) % 0.34/0.63 (step @p85 :rule eq_resolve :premises (@p29 @p84)) % 0.34/0.63 (step @p86 :rule skolemize :premises (@p85)) % 0.34/0.63 (step @p87 :rule bool-double-not-elim :args (@t74)) % 0.34/0.63 (step @p88 :rule refl :args (@t82)) % 0.34/0.63 (step @p89 :rule nary_cong :premises (@p88 @p87) :args ((or @t82 (not @t75)))) % 0.34/0.63 (step @p90 :rule cnf_or_neg :args (@t82 0)) % 0.34/0.63 (step @p91 :rule eq_resolve :premises (@p90 @p89)) % 0.34/0.63 (step @p92 :rule reordering :premises (@p91) :args ((or @t74 @t82))) % 0.34/0.63 (step @p93 :rule chain_m_resolution :premises (@p92 @p86) :args (@t74 @t83 @t84)) % 0.34/0.63 (step @p94 :rule cnf_or_pos :args (@t87)) % 0.34/0.63 (step @p95 :rule reordering :premises (@p94) :args ((or @t75 @t86 @t72 (not @t87)))) % 0.34/0.63 (step @p96 :rule chain_m_resolution :premises (@p95 @p93 @p81 @p80) :args (@t72 @t88 (@list @t74 @t85 @t87))) % 0.34/0.63 (step @p97 :rule cnf_or_pos :args (@t81)) % 0.34/0.63 (step @p98 :rule reordering :premises (@p97) :args ((or @t75 @t73 @t80 (not @t81)))) % 0.34/0.63 (step @p99 :rule chain_m_resolution :premises (@p98 @p93 @p96 @p70) :args (@t80 @t88 (@list @t74 @t72 @t81))) % 0.34/0.63 (step @p100 :rule cnf_or_neg :args (@t82 1)) % 0.34/0.63 (step @p101 :rule chain_m_resolution :premises (@p100 @p86) :args ((not @t79) @t83 @t84)) % 0.34/0.63 (step @p102 :rule cnf_equiv_pos2 :args (@t80)) % 0.34/0.63 (step @p103 :rule reordering :premises (@p102) :args ((or @t79 @t89 (not @t80)))) % 0.34/0.63 (step @p104 :rule chain_m_resolution :premises (@p103 @p101 @p99) :args (@t89 @t90 (@list @t79 @t80))) % 0.34/0.63 (step @p105 :rule skolemize :premises (@p104)) % 0.34/0.63 (step @p106 :rule cnf_or_pos :args (@t97)) % 0.34/0.63 (step @p107 :rule reordering :premises (@p106) :args ((or @t75 @t96 @t98))) % 0.34/0.63 (step @p108 :rule chain_m_resolution :premises (@p107 @p93 @p105) :args (@t98 (@list false true) (@list @t74 @t96))) % 0.34/0.63 (step @p109 :rule eq-symm :args (@t94 @t95)) % 0.34/0.63 (step @p110 :rule nary_cong :premises (@p60 @p109) :args (@t99)) % 0.34/0.63 (step @p111 :rule refl :args (@t100)) % 0.34/0.63 (step @p112 :rule cong :premises (@p111 @p110) :args ((=> @t100 @t99))) % 0.34/0.63 (assume-push @p122 @t100) % 0.34/0.63 (step @p114 :rule instantiate :premises (@p32) :args ((@list @t92 @t91 @t64 @t63))) % 0.34/0.63 (step-pop @p123 :rule scope :premises (@p114)) % 0.34/0.63 (step @p115 :rule process_scope :premises (@p123) :args (@t99)) % 0.34/0.63 (step @p117 :rule eq_resolve :premises (@p115 @p112)) % 0.34/0.63 (step @p118 :rule implies_elim :premises (@p117)) % 0.34/0.63 (step @p119 false :rule chain_m_resolution :premises (@p118 @p108 @p32) :args (false @t90 (@list @t97 @t100))) % 0.34/0.63 ) % 0.34/0.63 % SZS output end Proof % 0.34/0.63 % cvc5 exiting %------------------------------------------------------------------------------