%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU294+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 : n021.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 08:51:16 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 : SEU294+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 % 0.16/0.34 % Computer : n021.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 16:55:05 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.50 %----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 $$unsorted 0) % 0.38/0.61 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.38/0.61 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.38/0.61 (declare-const tptp.ordinal (-> $$unsorted Bool)) % 0.38/0.61 (declare-const tptp.epsilon_connected (-> $$unsorted Bool)) % 0.38/0.61 (declare-const tptp.empty (-> $$unsorted Bool)) % 0.38/0.61 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.38/0.61 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 0.38/0.61 (declare-const tptp.finite (-> $$unsorted Bool)) % 0.38/0.61 (declare-const tptp.function (-> $$unsorted Bool)) % 0.38/0.61 (declare-const tptp.relation_empty_yielding (-> $$unsorted Bool)) % 0.38/0.61 (declare-const tptp.natural (-> $$unsorted Bool)) % 0.38/0.61 (declare-const tptp.epsilon_transitive (-> $$unsorted Bool)) % 0.38/0.61 (declare-const tptp.relation (-> $$unsorted Bool)) % 0.38/0.61 (declare-const tptp.one_to_one (-> $$unsorted Bool)) % 0.38/0.61 (declare-const tptp.empty_set $$unsorted) % 0.38/0.61 (define @t1 () (@var "A" $$unsorted)) % 0.38/0.61 (define @t2 () (@var "B" $$unsorted)) % 0.38/0.61 (define @t3 () (tptp.in @t1 @t2)) % 0.38/0.61 (define @t4 () (@list @t1 @t2)) % 0.38/0.61 (define @t5 () (tptp.ordinal @t2)) % 0.38/0.61 (define @t6 () (tptp.epsilon_connected @t2)) % 0.38/0.61 (define @t7 () (tptp.epsilon_transitive @t2)) % 0.38/0.61 (define @t8 () (tptp.element @t2 @t1)) % 0.38/0.61 (define @t9 () (@list @t2)) % 0.38/0.61 (define @t10 () (tptp.ordinal @t1)) % 0.38/0.61 (define @t11 () (@list @t1)) % 0.38/0.61 (define @t12 () (tptp.finite @t1)) % 0.38/0.61 (define @t13 () (tptp.empty @t1)) % 0.38/0.61 (define @t14 () (tptp.function @t1)) % 0.38/0.61 (define @t15 () (tptp.epsilon_connected @t1)) % 0.38/0.61 (define @t16 () (tptp.epsilon_transitive @t1)) % 0.38/0.61 (define @t17 () (and @t16 @t15)) % 0.38/0.61 (define @t18 () (tptp.relation @t1)) % 0.38/0.61 (define @t19 () (tptp.natural @t1)) % 0.38/0.61 (define @t20 () (tptp.finite @t2)) % 0.38/0.61 (define @t21 () (tptp.powerset @t1)) % 0.38/0.61 (define @t22 () (tptp.element @t2 @t21)) % 0.38/0.61 (define @t23 () (forall @t9 (=> @t22 @t20))) % 0.38/0.61 (define @t24 () (=> @t12 @t23)) % 0.38/0.61 (define @t25 () (forall @t11 @t24)) % 0.38/0.61 (define @t26 () (tptp.one_to_one @t1)) % 0.38/0.61 (define @t27 () (and @t18 @t14 @t26)) % 0.38/0.61 (define @t28 () (and @t18 @t13 @t14)) % 0.38/0.61 (define @t29 () (and @t16 @t15 @t10)) % 0.38/0.61 (define @t30 () (tptp.relation_empty_yielding tptp.empty_set)) % 0.38/0.61 (define @t31 () (tptp.relation tptp.empty_set)) % 0.38/0.61 (define @t32 () (tptp.empty tptp.empty_set)) % 0.38/0.61 (define @t33 () (not @t13)) % 0.38/0.61 (define @t34 () (tptp.empty @t2)) % 0.38/0.61 (define @t35 () (not @t34)) % 0.38/0.61 (define @t36 () (tptp.relation_empty_yielding @t1)) % 0.38/0.61 (define @t37 () (tptp.subset @t1 @t2)) % 0.38/0.61 (define @t38 () (and @t37 @t20)) % 0.38/0.61 (define @t39 () (forall @t4 (=> @t38 @t12))) % 0.38/0.61 (define @t40 () (not @t39)) % 0.38/0.61 (define @t41 () (tptp.element @t1 @t2)) % 0.38/0.61 (define @t42 () (tptp.element @t1 (tptp.powerset @t2))) % 0.38/0.61 (define @t43 () (forall @t4 (= @t42 @t37))) % 0.38/0.61 (define @t44 () (@var "C" $$unsorted)) % 0.38/0.61 (define @t45 () (tptp.element @t2 (tptp.powerset @t44))) % 0.38/0.61 (define @t46 () (@list @t1 @t2 @t44)) % 0.38/0.61 (define @t47 () (@var "BOUND_VARIABLE_7639" $$unsorted)) % 0.38/0.61 (define @t48 () (tptp.finite @t47)) % 0.38/0.61 (define @t49 () (not (tptp.element @t47 @t21))) % 0.38/0.61 (define @t50 () (not @t12)) % 0.38/0.61 (define @t51 () (or @t50 @t49 @t48)) % 0.38/0.61 (define @t52 () (or @t49 @t48)) % 0.38/0.61 (define @t53 () (or @t50 @t52)) % 0.38/0.61 (define @t54 () (@list @t1 @t47)) % 0.38/0.61 (define @t55 () (forall @t54 @t53)) % 0.38/0.61 (define @t56 () (@list @t47)) % 0.38/0.61 (define @t57 () (forall @t56 @t53)) % 0.38/0.61 (define @t58 () (forall @t56 @t52)) % 0.38/0.61 (define @t59 () (or @t50 @t58)) % 0.38/0.61 (define @t60 () (forall @t9 (or (not @t22) @t20))) % 0.38/0.61 (define @t61 () (not @t20)) % 0.38/0.61 (define @t62 () (not @t37)) % 0.38/0.61 (define @t63 () (or @t62 @t61 @t12)) % 0.38/0.61 (define @t64 () (forall @t4 @t63)) % 0.38/0.61 (define @t65 () (@quantifiers_skolemize @t64 1)) % 0.38/0.61 (define @t66 () (@quantifiers_skolemize @t64 0)) % 0.38/0.61 (define @t67 () (tptp.subset @t66 @t65)) % 0.38/0.61 (define @t68 () (tptp.finite @t66)) % 0.38/0.61 (define @t69 () (tptp.finite @t65)) % 0.38/0.61 (define @t70 () (not @t69)) % 0.38/0.61 (define @t71 () (not @t67)) % 0.38/0.61 (define @t72 () (or @t71 @t70 @t68)) % 0.38/0.61 (define @t73 () (@list true)) % 0.38/0.61 (define @t74 () (@list @t72)) % 0.38/0.61 (define @t75 () (tptp.element @t66 (tptp.powerset @t65))) % 0.38/0.61 (define @t76 () (= @t67 @t75)) % 0.38/0.61 (define @t77 () (not @t75)) % 0.38/0.61 (define @t78 () (or @t70 @t77 @t68)) % 0.38/0.61 (define @t79 () (not @t78)) % 0.38/0.61 (define @t80 () (forall @t54 @t51)) % 0.38/0.61 (assume @p1 (forall @t4 (=> @t3 (not (tptp.in @t2 @t1))))) % 0.38/0.61 (assume @p2 (forall @t11 (=> @t10 (forall @t9 (=> @t8 (and @t7 @t6 @t5)))))) % 0.38/0.61 (assume @p3 (forall @t11 (=> @t13 @t12))) % 0.38/0.61 (assume @p4 (forall @t11 (=> @t13 @t14))) % 0.38/0.61 (assume @p5 (forall @t11 (=> @t10 @t17))) % 0.38/0.61 (assume @p6 (forall @t11 (=> @t13 @t18))) % 0.38/0.61 (assume @p7 (forall @t11 (=> (and @t13 @t10) (and @t16 @t15 @t10 @t19)))) % 0.38/0.61 (assume @p8 @t25) % 0.38/0.61 (assume @p9 (forall @t11 (=> @t28 @t27))) % 0.38/0.61 (assume @p10 (forall @t11 (=> @t17 @t10))) % 0.38/0.61 (assume @p11 (forall @t11 (=> @t13 @t29))) % 0.38/0.61 (assume @p12 true) % 0.38/0.61 (assume @p13 (forall @t11 (exists @t9 @t8))) % 0.38/0.61 (assume @p14 (and @t32 @t31 @t30)) % 0.38/0.61 (assume @p15 (forall @t11 (not (tptp.empty @t21)))) % 0.38/0.61 (assume @p16 @t32) % 0.38/0.61 (assume @p17 (and @t31 @t30 (tptp.function tptp.empty_set) (tptp.one_to_one tptp.empty_set) @t32 (tptp.epsilon_transitive tptp.empty_set) (tptp.epsilon_connected tptp.empty_set) (tptp.ordinal tptp.empty_set))) % 0.38/0.61 (assume @p18 (and @t32 @t31)) % 0.38/0.61 (assume @p19 (exists @t11 (and @t33 @t16 @t15 @t10 @t19))) % 0.38/0.61 (assume @p20 (exists @t11 (and @t33 @t12))) % 0.38/0.61 (assume @p21 (exists @t11 (and @t18 @t14))) % 0.38/0.61 (assume @p22 (exists @t11 @t29)) % 0.38/0.61 (assume @p23 (exists @t11 (and @t13 @t18))) % 0.38/0.61 (assume @p24 (forall @t11 (=> @t33 (exists @t9 (and @t22 @t35))))) % 0.38/0.61 (assume @p25 (exists @t11 @t13)) % 0.38/0.61 (assume @p26 (forall @t11 (exists @t9 (and @t22 @t34 (tptp.relation @t2) (tptp.function @t2) (tptp.one_to_one @t2) @t7 @t6 @t5 (tptp.natural @t2) @t20)))) % 0.38/0.61 (assume @p27 (exists @t11 @t28)) % 0.38/0.61 (assume @p28 (exists @t11 (and @t18 @t14 @t26 @t13 @t16 @t15 @t10))) % 0.38/0.61 (assume @p29 (exists @t11 (and @t33 @t18))) % 0.38/0.61 (assume @p30 (forall @t11 (exists @t9 (and @t22 @t34)))) % 0.38/0.61 (assume @p31 (exists @t11 @t33)) % 0.38/0.61 (assume @p32 (forall @t11 (=> @t33 (exists @t9 (and @t22 @t35 @t20))))) % 0.38/0.61 (assume @p33 (exists @t11 @t27)) % 0.38/0.61 (assume @p34 (exists @t11 (and @t33 @t16 @t15 @t10))) % 0.38/0.61 (assume @p35 (exists @t11 (and @t18 @t36))) % 0.38/0.61 (assume @p36 (exists @t11 (and @t18 @t36 @t14))) % 0.38/0.61 (assume @p37 (forall @t4 (tptp.subset @t1 @t1))) % 0.38/0.61 (assume @p38 @t40) % 0.38/0.61 (assume @p39 (forall @t4 (=> @t3 @t41))) % 0.38/0.61 (assume @p40 (forall @t4 (=> @t41 (or @t34 @t3)))) % 0.38/0.61 (assume @p41 @t43) % 0.38/0.61 (assume @p42 (forall @t46 (=> (and @t3 @t45) (tptp.element @t1 @t44)))) % 0.38/0.61 (assume @p43 (forall @t46 (not (and @t3 @t45 (tptp.empty @t44))))) % 0.38/0.61 (assume @p44 (forall @t11 (=> @t13 (= @t1 tptp.empty_set)))) % 0.38/0.61 (assume @p45 (forall @t4 (not (and @t3 @t34)))) % 0.38/0.61 (assume @p46 (forall @t4 (not (and @t13 (not (= @t1 @t2)) @t34)))) % 0.38/0.61 (step @p47 :rule aci_norm :args ((= @t53 @t51))) % 0.38/0.61 (step @p48 :rule cong :premises (@p47) :args (@t55)) % 0.38/0.61 (step @p49 :rule quant-merge-prenex :args ((= (forall @t11 @t57) @t55))) % 0.38/0.61 (step @p50 :rule alpha_equiv :args (@t58 (@list @t47) (@list @t2))) % 0.38/0.61 (step @p51 :rule refl :args (@t50)) % 0.38/0.61 (step @p52 :rule nary_cong :premises (@p51 @p50) :args (@t59)) % 0.38/0.61 (step @p53 :rule quant-miniscope-or :args ((= @t57 @t59))) % 0.38/0.61 (step @p54 :rule trans :premises (@p53 @p52)) % 0.38/0.61 (step @p55 :rule symm :premises (@p54)) % 0.38/0.61 (step @p56 :rule cong :premises (@p55) :args ((forall @t11 (or @t50 @t60)))) % 0.38/0.61 (step @p57 :rule trans :premises (@p56 @p49)) % 0.38/0.61 (step @p58 :rule trans :premises (@p57 @p48)) % 0.38/0.61 (step @p59 :rule bool-impl-elim :args (@t12 @t60)) % 0.38/0.61 (step @p60 :rule cong :premises (@p59) :args ((forall @t11 (=> @t12 @t60)))) % 0.38/0.61 (step @p61 :rule trans :premises (@p60 @p58)) % 0.38/0.61 (step @p62 :rule bool-impl-elim :args (@t22 @t20)) % 0.38/0.61 (step @p63 :rule cong :premises (@p62) :args (@t23)) % 0.38/0.61 (step @p64 :rule refl :args (@t12)) % 0.38/0.61 (step @p65 :rule cong :premises (@p64 @p63) :args (@t24)) % 0.38/0.61 (step @p66 :rule cong :premises (@p65) :args (@t25)) % 0.38/0.61 (step @p67 :rule trans :premises (@p66 @p61)) % 0.38/0.61 (step @p68 :rule eq_resolve :premises (@p8 @p67)) % 0.38/0.61 (step @p69 :rule eq-symm :args (@t42 @t37)) % 0.38/0.61 (step @p70 :rule cong :premises (@p69) :args (@t43)) % 0.38/0.61 (step @p71 :rule eq_resolve :premises (@p41 @p70)) % 0.38/0.61 (step @p72 :rule instantiate :premises (@p71) :args ((@list @t66 @t65))) % 0.38/0.61 (step @p73 :rule aci_norm :args ((= (or (or @t62 @t61) @t12) @t63))) % 0.38/0.61 (step @p74 :rule refl :args (@t12)) % 0.38/0.61 (step @p75 :rule bool-and-de-morgan :args (@t37 @t20 true)) % 0.38/0.61 (step @p76 :rule nary_cong :premises (@p75 @p74) :args ((or (not @t38) @t12))) % 0.38/0.61 (step @p77 :rule trans :premises (@p76 @p73)) % 0.38/0.61 (step @p78 :rule bool-impl-elim :args (@t38 @t12)) % 0.38/0.61 (step @p79 :rule trans :premises (@p78 @p77)) % 0.38/0.61 (step @p80 :rule cong :premises (@p79) :args (@t39)) % 0.38/0.61 (step @p81 :rule cong :premises (@p80) :args (@t40)) % 0.38/0.61 (step @p82 :rule eq_resolve :premises (@p38 @p81)) % 0.38/0.61 (step @p83 :rule skolemize :premises (@p82)) % 0.38/0.61 (step @p84 :rule bool-double-not-elim :args (@t67)) % 0.38/0.61 (step @p85 :rule refl :args (@t72)) % 0.38/0.61 (step @p86 :rule nary_cong :premises (@p85 @p84) :args ((or @t72 (not @t71)))) % 0.38/0.61 (step @p87 :rule cnf_or_neg :args (@t72 0)) % 0.38/0.61 (step @p88 :rule eq_resolve :premises (@p87 @p86)) % 0.38/0.61 (step @p89 :rule reordering :premises (@p88) :args ((or @t67 @t72))) % 0.38/0.61 (step @p90 :rule chain_m_resolution :premises (@p89 @p83) :args (@t67 @t73 @t74)) % 0.38/0.61 (step @p91 :rule cnf_equiv_pos1 :args (@t76)) % 0.38/0.61 (step @p92 :rule reordering :premises (@p91) :args ((or @t71 @t75 (not @t76)))) % 0.38/0.61 (step @p93 :rule chain_m_resolution :premises (@p92 @p90 @p72) :args (@t75 (@list false false) (@list @t67 @t76))) % 0.38/0.61 (step @p94 :rule cnf_or_neg :args (@t72 2)) % 0.38/0.61 (step @p95 :rule chain_m_resolution :premises (@p94 @p83) :args ((not @t68) @t73 @t74)) % 0.38/0.61 (step @p96 :rule bool-double-not-elim :args (@t69)) % 0.38/0.61 (step @p97 :rule nary_cong :premises (@p85 @p96) :args ((or @t72 (not @t70)))) % 0.38/0.61 (step @p98 :rule cnf_or_neg :args (@t72 1)) % 0.38/0.61 (step @p99 :rule eq_resolve :premises (@p98 @p97)) % 0.38/0.61 (step @p100 :rule reordering :premises (@p99) :args ((or @t69 @t72))) % 0.38/0.61 (step @p101 :rule chain_m_resolution :premises (@p100 @p83) :args (@t69 @t73 @t74)) % 0.38/0.61 (step @p102 :rule cnf_or_pos :args (@t78)) % 0.38/0.61 (step @p103 :rule reordering :premises (@p102) :args ((or @t70 @t68 @t77 @t79))) % 0.38/0.61 (step @p104 :rule chain_m_resolution :premises (@p103 @p101 @p95 @p93) :args (@t79 (@list false true false) (@list @t69 @t68 @t75))) % 0.38/0.61 (assume-push @p111 @t80) % 0.38/0.61 (step @p106 :rule instantiate :premises (@p68) :args ((@list @t65 @t66))) % 0.38/0.61 (step-pop @p112 :rule scope :premises (@p106)) % 0.38/0.61 (step @p107 :rule process_scope :premises (@p112) :args (@t78)) % 0.38/0.61 (step @p109 :rule implies_elim :premises (@p107)) % 0.38/0.61 (step @p110 false :rule chain_m_resolution :premises (@p109 @p104 @p68) :args (false (@list true false) (@list @t78 @t80))) % 0.38/0.61 ) % 0.38/0.61 % SZS output end Proof % 0.38/0.61 % cvc5 exiting %------------------------------------------------------------------------------