%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU239+1 : TPTP v9.2.1. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n015.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 08:51:05 AM UTC 2026 % Result : Theorem 0.38s 0.57s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU239+1 : TPTP v9.2.1. Released v3.3.0. % 0.00/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n015.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 16:46:49 EDT 2026 % 0.17/0.34 % CPUTime : % 0.31/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.38/0.57 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.57 % SZS status Theorem % 0.38/0.57 % SZS output start Proof % 0.38/0.57 ( % 0.38/0.57 (declare-sort $$unsorted 0) % 0.38/0.57 (declare-const tptp.empty_set $$unsorted) % 0.38/0.57 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.one_to_one (-> $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.function (-> $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.57 (declare-const tptp.reflexive (-> $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.empty (-> $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.is_reflexive_in (-> $$unsorted $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.relation (-> $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.57 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 0.38/0.57 (declare-const tptp.relation_rng (-> $$unsorted $$unsorted)) % 0.38/0.57 (declare-const tptp.relation_dom (-> $$unsorted $$unsorted)) % 0.38/0.57 (declare-const tptp.set_union2 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.57 (declare-const tptp.relation_field (-> $$unsorted $$unsorted)) % 0.38/0.57 (define @t1 () (@var "A" $$unsorted)) % 0.38/0.57 (define @t2 () (@var "B" $$unsorted)) % 0.38/0.57 (define @t3 () (tptp.in @t1 @t2)) % 0.38/0.57 (define @t4 () (@list @t1 @t2)) % 0.38/0.57 (define @t5 () (tptp.function @t1)) % 0.38/0.57 (define @t6 () (tptp.empty @t1)) % 0.38/0.57 (define @t7 () (@list @t1)) % 0.38/0.57 (define @t8 () (tptp.relation @t1)) % 0.38/0.57 (define @t9 () (and @t8 @t5 (tptp.one_to_one @t1))) % 0.38/0.57 (define @t10 () (and @t8 @t6 @t5)) % 0.38/0.57 (define @t11 () (tptp.unordered_pair @t1 @t2)) % 0.38/0.57 (define @t12 () (tptp.set_union2 @t2 @t1)) % 0.38/0.57 (define @t13 () (tptp.set_union2 @t1 @t2)) % 0.38/0.57 (define @t14 () (@var "C" $$unsorted)) % 0.38/0.57 (define @t15 () (tptp.ordered_pair @t14 @t14)) % 0.38/0.57 (define @t16 () (tptp.in @t15 @t1)) % 0.38/0.57 (define @t17 () (tptp.in @t14 @t2)) % 0.38/0.57 (define @t18 () (@list @t14)) % 0.38/0.57 (define @t19 () (forall @t18 (=> @t17 @t16))) % 0.38/0.57 (define @t20 () (tptp.is_reflexive_in @t1 @t2)) % 0.38/0.57 (define @t21 () (= @t20 @t19)) % 0.38/0.57 (define @t22 () (@list @t2)) % 0.38/0.57 (define @t23 () (forall @t22 @t21)) % 0.38/0.57 (define @t24 () (=> @t8 @t23)) % 0.38/0.57 (define @t25 () (forall @t7 @t24)) % 0.38/0.57 (define @t26 () (tptp.ordered_pair @t1 @t2)) % 0.38/0.57 (define @t27 () (tptp.relation_field @t1)) % 0.38/0.57 (define @t28 () (tptp.reflexive @t1)) % 0.38/0.57 (define @t29 () (= @t28 (tptp.is_reflexive_in @t1 @t27))) % 0.38/0.57 (define @t30 () (forall @t7 (=> @t8 @t29))) % 0.38/0.57 (define @t31 () (not @t6)) % 0.38/0.57 (define @t32 () (tptp.ordered_pair @t2 @t2)) % 0.38/0.57 (define @t33 () (tptp.in @t32 @t1)) % 0.38/0.57 (define @t34 () (tptp.in @t2 @t27)) % 0.38/0.57 (define @t35 () (forall @t22 (=> @t34 @t33))) % 0.38/0.57 (define @t36 () (= @t28 @t35)) % 0.38/0.57 (define @t37 () (=> @t8 @t36)) % 0.38/0.57 (define @t38 () (forall @t7 @t37)) % 0.38/0.57 (define @t39 () (not @t38)) % 0.38/0.57 (define @t40 () (tptp.element @t1 @t2)) % 0.38/0.57 (define @t41 () (tptp.empty @t2)) % 0.38/0.57 (define @t42 () (@var "BOUND_VARIABLE_7562" $$unsorted)) % 0.38/0.57 (define @t43 () (= (tptp.is_reflexive_in @t1 @t42) (forall @t18 (or (not (tptp.in @t14 @t42)) @t16)))) % 0.38/0.57 (define @t44 () (not @t8)) % 0.38/0.57 (define @t45 () (or @t44 @t43)) % 0.38/0.57 (define @t46 () (@list @t42)) % 0.38/0.57 (define @t47 () (forall @t46 @t45)) % 0.38/0.57 (define @t48 () (forall @t46 @t43)) % 0.38/0.57 (define @t49 () (@list @t2)) % 0.38/0.57 (define @t50 () (or @t44 @t48)) % 0.38/0.57 (define @t51 () (forall @t22 (= @t20 (forall @t18 (or (not @t17) @t16))))) % 0.38/0.57 (define @t52 () (= @t28 (forall @t22 (or (not @t34) @t33)))) % 0.38/0.57 (define @t53 () (@quantifiers_skolemize (forall @t7 (or @t44 @t52)) 0)) % 0.38/0.57 (define @t54 () (tptp.relation_field @t53)) % 0.38/0.57 (define @t55 () (tptp.relation @t53)) % 0.38/0.57 (define @t56 () (forall @t22 (or (not (tptp.in @t2 @t54)) (tptp.in @t32 @t53)))) % 0.38/0.57 (define @t57 () (tptp.reflexive @t53)) % 0.38/0.57 (define @t58 () (= @t57 @t56)) % 0.38/0.57 (define @t59 () (not @t55)) % 0.38/0.57 (define @t60 () (or @t59 @t58)) % 0.38/0.57 (define @t61 () (@list true)) % 0.38/0.57 (define @t62 () (@list @t60)) % 0.38/0.57 (define @t63 () (forall @t18 (or (not (tptp.in @t14 @t54)) (tptp.in @t15 @t53)))) % 0.38/0.57 (define @t64 () (tptp.is_reflexive_in @t53 @t54)) % 0.38/0.57 (define @t65 () (= @t64 @t63)) % 0.38/0.57 (define @t66 () (or @t59 @t65)) % 0.38/0.57 (define @t67 () (@list false false)) % 0.38/0.57 (define @t68 () (= @t57 @t64)) % 0.38/0.57 (define @t69 () (or @t59 @t68)) % 0.38/0.57 (define @t70 () (not @t68)) % 0.38/0.57 (define @t71 () (not @t64)) % 0.38/0.57 (define @t72 () (not @t65)) % 0.38/0.57 (define @t73 () (not @t63)) % 0.38/0.57 (assume @p1 (forall @t4 (=> @t3 (not (tptp.in @t2 @t1))))) % 0.38/0.57 (assume @p2 (forall @t7 (=> @t6 @t5))) % 0.38/0.57 (assume @p3 (forall @t7 (=> @t10 @t9))) % 0.38/0.57 (assume @p4 (forall @t4 (= @t11 (tptp.unordered_pair @t2 @t1)))) % 0.38/0.57 (assume @p5 (forall @t4 (= @t13 @t12))) % 0.38/0.57 (assume @p6 @t25) % 0.38/0.57 (assume @p7 (forall @t4 (= @t26 (tptp.unordered_pair @t11 (tptp.singleton @t1))))) % 0.38/0.57 (assume @p8 (forall @t7 (=> @t8 (= @t27 (tptp.set_union2 (tptp.relation_dom @t1) (tptp.relation_rng @t1)))))) % 0.38/0.57 (assume @p9 @t30) % 0.38/0.57 (assume @p10 true) % 0.38/0.57 (assume @p11 (forall @t7 (exists @t22 (tptp.element @t2 @t1)))) % 0.38/0.57 (assume @p12 (tptp.empty tptp.empty_set)) % 0.38/0.57 (assume @p13 (forall @t4 (not (tptp.empty @t26)))) % 0.38/0.57 (assume @p14 (forall @t4 (=> @t31 (not (tptp.empty @t13))))) % 0.38/0.57 (assume @p15 (forall @t4 (=> @t31 (not (tptp.empty @t12))))) % 0.38/0.57 (assume @p16 (forall @t4 (= (tptp.set_union2 @t1 @t1) @t1))) % 0.38/0.57 (assume @p17 @t39) % 0.38/0.57 (assume @p18 (exists @t7 (and @t8 @t5))) % 0.38/0.57 (assume @p19 (exists @t7 @t6)) % 0.38/0.57 (assume @p20 (exists @t7 @t10)) % 0.38/0.57 (assume @p21 (exists @t7 @t31)) % 0.38/0.57 (assume @p22 (exists @t7 @t9)) % 0.38/0.57 (assume @p23 (forall @t7 (= (tptp.set_union2 @t1 tptp.empty_set) @t1))) % 0.38/0.57 (assume @p24 (forall @t4 (=> @t3 @t40))) % 0.38/0.57 (assume @p25 (forall @t4 (=> @t40 (or @t41 @t3)))) % 0.38/0.57 (assume @p26 (forall @t7 (=> @t6 (= @t1 tptp.empty_set)))) % 0.38/0.57 (assume @p27 (forall @t4 (not (and @t3 @t41)))) % 0.38/0.57 (assume @p28 (forall @t4 (not (and @t6 (not (= @t1 @t2)) @t41)))) % 0.38/0.57 (step @p29 :rule quant-merge-prenex :args ((= (forall @t7 @t47) (forall (@list @t1 @t42) @t45)))) % 0.38/0.57 (step @p30 :rule alpha_equiv :args (@t48 (@list @t42) @t49)) % 0.38/0.57 (step @p31 :rule refl :args (@t44)) % 0.38/0.57 (step @p32 :rule nary_cong :premises (@p31 @p30) :args (@t50)) % 0.38/0.57 (step @p33 :rule quant-miniscope-or :args ((= @t47 @t50))) % 0.38/0.57 (step @p34 :rule trans :premises (@p33 @p32)) % 0.38/0.57 (step @p35 :rule symm :premises (@p34)) % 0.38/0.57 (step @p36 :rule cong :premises (@p35) :args ((forall @t7 (or @t44 @t51)))) % 0.38/0.57 (step @p37 :rule trans :premises (@p36 @p29)) % 0.38/0.57 (step @p38 :rule bool-impl-elim :args (@t8 @t51)) % 0.38/0.57 (step @p39 :rule cong :premises (@p38) :args ((forall @t7 (=> @t8 @t51)))) % 0.38/0.57 (step @p40 :rule trans :premises (@p39 @p37)) % 0.38/0.57 (step @p41 :rule bool-impl-elim :args (@t17 @t16)) % 0.38/0.57 (step @p42 :rule cong :premises (@p41) :args (@t19)) % 0.38/0.57 (step @p43 :rule refl :args (@t20)) % 0.38/0.57 (step @p44 :rule cong :premises (@p43 @p42) :args (@t21)) % 0.38/0.57 (step @p45 :rule cong :premises (@p44) :args (@t23)) % 0.38/0.57 (step @p46 :rule refl :args (@t8)) % 0.38/0.57 (step @p47 :rule cong :premises (@p46 @p45) :args (@t24)) % 0.38/0.57 (step @p48 :rule cong :premises (@p47) :args (@t25)) % 0.38/0.57 (step @p49 :rule trans :premises (@p48 @p40)) % 0.38/0.57 (step @p50 :rule eq_resolve :premises (@p6 @p49)) % 0.38/0.57 (step @p51 :rule instantiate :premises (@p50) :args ((@list @t53 @t54))) % 0.38/0.57 (step @p52 :rule bool-impl-elim :args (@t8 @t52)) % 0.38/0.57 (step @p53 :rule cong :premises (@p52) :args ((forall @t7 (=> @t8 @t52)))) % 0.38/0.57 (step @p54 :rule bool-impl-elim :args (@t34 @t33)) % 0.38/0.57 (step @p55 :rule cong :premises (@p54) :args (@t35)) % 0.38/0.57 (step @p56 :rule refl :args (@t28)) % 0.38/0.57 (step @p57 :rule cong :premises (@p56 @p55) :args (@t36)) % 0.38/0.57 (step @p58 :rule cong :premises (@p46 @p57) :args (@t37)) % 0.38/0.57 (step @p59 :rule cong :premises (@p58) :args (@t38)) % 0.38/0.57 (step @p60 :rule trans :premises (@p59 @p53)) % 0.38/0.57 (step @p61 :rule cong :premises (@p60) :args (@t39)) % 0.38/0.57 (step @p62 :rule eq_resolve :premises (@p17 @p61)) % 0.38/0.57 (step @p63 :rule skolemize :premises (@p62)) % 0.38/0.57 (step @p64 :rule bool-double-not-elim :args (@t55)) % 0.38/0.57 (step @p65 :rule refl :args (@t60)) % 0.38/0.57 (step @p66 :rule nary_cong :premises (@p65 @p64) :args ((or @t60 (not @t59)))) % 0.38/0.57 (step @p67 :rule cnf_or_neg :args (@t60 0)) % 0.38/0.57 (step @p68 :rule eq_resolve :premises (@p67 @p66)) % 0.38/0.57 (step @p69 :rule reordering :premises (@p68) :args ((or @t55 @t60))) % 0.38/0.57 (step @p70 :rule chain_m_resolution :premises (@p69 @p63) :args (@t55 @t61 @t62)) % 0.38/0.57 (step @p71 :rule cnf_or_pos :args (@t66)) % 0.38/0.57 (step @p72 :rule reordering :premises (@p71) :args ((or @t59 @t65 (not @t66)))) % 0.38/0.57 (step @p73 :rule chain_m_resolution :premises (@p72 @p70 @p51) :args (@t65 @t67 (@list @t55 @t66))) % 0.38/0.57 (step @p74 :rule bool-impl-elim :args (@t8 @t29)) % 0.38/0.57 (step @p75 :rule cong :premises (@p74) :args (@t30)) % 0.38/0.57 (step @p76 :rule eq_resolve :premises (@p9 @p75)) % 0.38/0.57 (step @p77 :rule instantiate :premises (@p76) :args ((@list @t53))) % 0.38/0.57 (step @p78 :rule cnf_or_pos :args (@t69)) % 0.38/0.57 (step @p79 :rule reordering :premises (@p78) :args ((or @t59 @t68 (not @t69)))) % 0.38/0.57 (step @p80 :rule chain_m_resolution :premises (@p79 @p70 @p77) :args (@t68 @t67 (@list @t55 @t69))) % 0.38/0.57 (step @p81 :rule cnf_or_neg :args (@t60 1)) % 0.38/0.57 (step @p82 :rule chain_m_resolution :premises (@p81 @p63) :args ((not @t58) @t61 @t62)) % 0.38/0.57 (step @p83 :rule cnf_equiv_neg1 :args (@t58)) % 0.38/0.57 (step @p84 :rule reordering :premises (@p83) :args ((or @t57 @t56 @t58))) % 0.38/0.57 (step @p85 :rule cnf_equiv_pos2 :args (@t68)) % 0.38/0.57 (step @p86 :rule reordering :premises (@p85) :args ((or @t57 @t71 @t70))) % 0.38/0.57 (step @p87 :rule alpha_equiv :args (@t56 @t49 (@list @t14))) % 0.38/0.57 (step @p88 :rule equiv_elim1 :premises (@p87)) % 0.38/0.57 (step @p89 :rule cnf_equiv_pos2 :args (@t65)) % 0.38/0.57 (step @p90 :rule reordering :premises (@p89) :args ((or @t64 @t73 @t72))) % 0.38/0.57 (step @p91 :rule chain_m_resolution :premises (@p90 @p73 @p88 @p86 @p80 @p84 @p82) :args (@t57 (@list false false true false false true) (@list @t65 @t63 @t64 @t68 @t56 @t58))) % 0.38/0.57 (step @p92 :rule cnf_equiv_pos1 :args (@t68)) % 0.38/0.57 (step @p93 :rule reordering :premises (@p92) :args ((or (not @t57) @t64 @t70))) % 0.38/0.57 (step @p94 :rule chain_m_resolution :premises (@p93 @p91 @p80) :args (@t64 @t67 (@list @t57 @t68))) % 0.38/0.57 (step @p95 :rule cnf_equiv_neg2 :args (@t58)) % 0.38/0.57 (step @p96 :rule chain_m_resolution :premises (@p95 @p82 @p91) :args ((not @t56) (@list true false) (@list @t58 @t57))) % 0.38/0.57 (step @p97 :rule equiv_elim2 :premises (@p87)) % 0.38/0.57 (step @p98 :rule chain_m_resolution :premises (@p97 @p96) :args (@t73 @t61 (@list @t56))) % 0.38/0.57 (step @p99 :rule cnf_equiv_pos1 :args (@t65)) % 0.38/0.57 (step @p100 :rule reordering :premises (@p99) :args ((or @t71 @t63 @t72))) % 0.38/0.57 (step @p101 false :rule chain_m_resolution :premises (@p100 @p98 @p94 @p73) :args (false (@list true false false) (@list @t63 @t64 @t65))) % 0.38/0.57 ) % 0.38/0.57 % SZS output end Proof % 0.38/0.58 % cvc5 exiting %------------------------------------------------------------------------------