%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET201+3 : TPTP v9.2.1. Released v2.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n002.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 08:47:38 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 : SET201+3 : TPTP v9.2.1. Released v2.2.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n002.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 15:11:18 EDT 2026 % 0.17/0.35 % CPUTime : % 0.29/0.50 %----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 $$unsorted 0) % 0.38/0.57 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.intersection (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.57 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 0.38/0.57 (define @t1 () (@var "C" $$unsorted)) % 0.38/0.57 (define @t2 () (@var "D" $$unsorted)) % 0.38/0.57 (define @t3 () (tptp.member @t2 @t1)) % 0.38/0.57 (define @t4 () (@var "B" $$unsorted)) % 0.38/0.57 (define @t5 () (tptp.member @t2 @t4)) % 0.38/0.57 (define @t6 () (tptp.intersection @t4 @t1)) % 0.38/0.57 (define @t7 () (@list @t2)) % 0.38/0.57 (define @t8 () (forall @t7 (=> @t5 @t3))) % 0.38/0.57 (define @t9 () (tptp.subset @t4 @t1)) % 0.38/0.57 (define @t10 () (= @t9 @t8)) % 0.38/0.57 (define @t11 () (@list @t4 @t1)) % 0.38/0.57 (define @t12 () (forall @t11 @t10)) % 0.38/0.57 (define @t13 () (@var "E" $$unsorted)) % 0.38/0.57 (define @t14 () (tptp.subset (tptp.intersection @t4 @t2) (tptp.intersection @t1 @t13))) % 0.38/0.57 (define @t15 () (tptp.subset @t2 @t13)) % 0.38/0.57 (define @t16 () (and @t9 @t15)) % 0.38/0.57 (define @t17 () (@list @t4 @t1 @t2 @t13)) % 0.38/0.57 (define @t18 () (forall @t17 (=> @t16 @t14))) % 0.38/0.57 (define @t19 () (not @t18)) % 0.38/0.57 (define @t20 () (not @t15)) % 0.38/0.57 (define @t21 () (not @t9)) % 0.38/0.57 (define @t22 () (or @t21 @t20 @t14)) % 0.38/0.57 (define @t23 () (forall @t17 @t22)) % 0.38/0.57 (define @t24 () (@quantifiers_skolemize @t23 3)) % 0.38/0.57 (define @t25 () (@quantifiers_skolemize @t23 1)) % 0.38/0.57 (define @t26 () (tptp.intersection @t25 @t24)) % 0.38/0.57 (define @t27 () (@quantifiers_skolemize @t23 2)) % 0.38/0.57 (define @t28 () (@quantifiers_skolemize @t23 0)) % 0.38/0.57 (define @t29 () (tptp.intersection @t28 @t27)) % 0.38/0.57 (define @t30 () (forall @t7 (or (not (tptp.member @t2 @t29)) (tptp.member @t2 @t26)))) % 0.38/0.57 (define @t31 () (@quantifiers_skolemize @t30 0)) % 0.38/0.57 (define @t32 () (tptp.subset @t29 @t26)) % 0.38/0.57 (define @t33 () (tptp.subset @t27 @t24)) % 0.38/0.57 (define @t34 () (not @t33)) % 0.38/0.57 (define @t35 () (tptp.subset @t28 @t25)) % 0.38/0.57 (define @t36 () (not @t35)) % 0.38/0.57 (define @t37 () (or @t36 @t34 @t32)) % 0.38/0.57 (define @t38 () (@list true)) % 0.38/0.57 (define @t39 () (@list @t37)) % 0.38/0.57 (define @t40 () (= @t32 @t30)) % 0.38/0.57 (define @t41 () (not @t30)) % 0.38/0.57 (define @t42 () (@list true false)) % 0.38/0.57 (define @t43 () (tptp.member @t31 @t26)) % 0.38/0.57 (define @t44 () (tptp.member @t31 @t29)) % 0.38/0.57 (define @t45 () (not @t44)) % 0.38/0.57 (define @t46 () (or @t45 @t43)) % 0.38/0.57 (define @t47 () (@list @t46)) % 0.38/0.57 (define @t48 () (tptp.member @t31 @t24)) % 0.38/0.57 (define @t49 () (tptp.member @t31 @t25)) % 0.38/0.57 (define @t50 () (and @t49 @t48)) % 0.38/0.57 (define @t51 () (= @t43 @t50)) % 0.38/0.57 (define @t52 () (not @t50)) % 0.38/0.57 (define @t53 () (forall @t7 (or (not (tptp.member @t2 @t28)) (tptp.member @t2 @t25)))) % 0.38/0.57 (define @t54 () (= @t35 @t53)) % 0.38/0.57 (define @t55 () (@list false false)) % 0.38/0.57 (define @t56 () (@list @t31)) % 0.38/0.57 (define @t57 () (tptp.member @t31 @t27)) % 0.38/0.57 (define @t58 () (tptp.member @t31 @t28)) % 0.38/0.57 (define @t59 () (and @t58 @t57)) % 0.38/0.57 (define @t60 () (= @t44 @t59)) % 0.38/0.57 (define @t61 () (not @t59)) % 0.38/0.57 (define @t62 () (@list false)) % 0.38/0.57 (define @t63 () (@list @t59)) % 0.38/0.57 (define @t64 () (not @t58)) % 0.38/0.57 (define @t65 () (or @t64 @t49)) % 0.38/0.57 (define @t66 () (forall @t7 (or (not (tptp.member @t2 @t27)) (tptp.member @t2 @t24)))) % 0.38/0.57 (define @t67 () (= @t33 @t66)) % 0.38/0.57 (define @t68 () (not @t57)) % 0.38/0.57 (define @t69 () (or @t68 @t48)) % 0.38/0.57 (assume @p1 (forall (@list @t4 @t1 @t2) (= (tptp.member @t2 @t6) (and @t5 @t3)))) % 0.38/0.57 (assume @p2 @t12) % 0.38/0.57 (assume @p3 (forall @t11 (= @t6 (tptp.intersection @t1 @t4)))) % 0.38/0.57 (assume @p4 (forall (@list @t4) (tptp.subset @t4 @t4))) % 0.38/0.57 (assume @p5 (forall @t11 (= (= @t4 @t1) (forall @t7 (= @t5 @t3))))) % 0.38/0.57 (assume @p6 @t19) % 0.38/0.57 (assume @p7 true) % 0.38/0.57 (step @p8 :rule instantiate :premises (@p1) :args ((@list @t25 @t24 @t31))) % 0.38/0.57 (step @p9 :rule bool-impl-elim :args (@t5 @t3)) % 0.38/0.57 (step @p10 :rule cong :premises (@p9) :args (@t8)) % 0.38/0.57 (step @p11 :rule refl :args (@t9)) % 0.38/0.57 (step @p12 :rule cong :premises (@p11 @p10) :args (@t10)) % 0.38/0.57 (step @p13 :rule cong :premises (@p12) :args (@t12)) % 0.38/0.57 (step @p14 :rule eq_resolve :premises (@p2 @p13)) % 0.38/0.57 (step @p15 :rule instantiate :premises (@p14) :args ((@list @t29 @t26))) % 0.38/0.57 (step @p16 :rule aci_norm :args ((= (or (or @t21 @t20) @t14) @t22))) % 0.38/0.57 (step @p17 :rule refl :args (@t14)) % 0.38/0.57 (step @p18 :rule bool-and-de-morgan :args (@t9 @t15 true)) % 0.38/0.57 (step @p19 :rule nary_cong :premises (@p18 @p17) :args ((or (not @t16) @t14))) % 0.38/0.57 (step @p20 :rule trans :premises (@p19 @p16)) % 0.38/0.57 (step @p21 :rule bool-impl-elim :args (@t16 @t14)) % 0.38/0.57 (step @p22 :rule trans :premises (@p21 @p20)) % 0.38/0.57 (step @p23 :rule cong :premises (@p22) :args (@t18)) % 0.38/0.57 (step @p24 :rule cong :premises (@p23) :args (@t19)) % 0.38/0.57 (step @p25 :rule eq_resolve :premises (@p6 @p24)) % 0.38/0.57 (step @p26 :rule skolemize :premises (@p25)) % 0.38/0.57 (step @p27 :rule cnf_or_neg :args (@t37 2)) % 0.38/0.57 (step @p28 :rule chain_m_resolution :premises (@p27 @p26) :args ((not @t32) @t38 @t39)) % 0.38/0.57 (step @p29 :rule cnf_equiv_pos2 :args (@t40)) % 0.38/0.57 (step @p30 :rule reordering :premises (@p29) :args ((or @t32 @t41 (not @t40)))) % 0.38/0.57 (step @p31 :rule chain_m_resolution :premises (@p30 @p28 @p15) :args (@t41 @t42 (@list @t32 @t40))) % 0.38/0.57 (step @p32 :rule skolemize :premises (@p31)) % 0.38/0.57 (step @p33 :rule cnf_or_neg :args (@t46 1)) % 0.38/0.57 (step @p34 :rule chain_m_resolution :premises (@p33 @p32) :args ((not @t43) @t38 @t47)) % 0.38/0.57 (step @p35 :rule cnf_equiv_pos2 :args (@t51)) % 0.38/0.57 (step @p36 :rule reordering :premises (@p35) :args ((or @t43 @t52 (not @t51)))) % 0.38/0.57 (step @p37 :rule chain_m_resolution :premises (@p36 @p34 @p8) :args (@t52 @t42 (@list @t43 @t51))) % 0.38/0.57 (step @p38 :rule instantiate :premises (@p14) :args ((@list @t28 @t25))) % 0.38/0.57 (step @p39 :rule bool-double-not-elim :args (@t35)) % 0.38/0.57 (step @p40 :rule refl :args (@t37)) % 0.38/0.57 (step @p41 :rule nary_cong :premises (@p40 @p39) :args ((or @t37 (not @t36)))) % 0.38/0.57 (step @p42 :rule cnf_or_neg :args (@t37 0)) % 0.38/0.57 (step @p43 :rule eq_resolve :premises (@p42 @p41)) % 0.38/0.57 (step @p44 :rule reordering :premises (@p43) :args ((or @t35 @t37))) % 0.38/0.57 (step @p45 :rule chain_m_resolution :premises (@p44 @p26) :args (@t35 @t38 @t39)) % 0.38/0.57 (step @p46 :rule cnf_equiv_pos1 :args (@t54)) % 0.38/0.57 (step @p47 :rule reordering :premises (@p46) :args ((or @t36 @t53 (not @t54)))) % 0.38/0.57 (step @p48 :rule chain_m_resolution :premises (@p47 @p45 @p38) :args (@t53 @t55 (@list @t35 @t54))) % 0.38/0.57 (step @p49 :rule instantiate :premises (@p48) :args (@t56)) % 0.38/0.57 (step @p50 :rule instantiate :premises (@p1) :args ((@list @t28 @t27 @t31))) % 0.38/0.57 (step @p51 :rule bool-double-not-elim :args (@t44)) % 0.38/0.57 (step @p52 :rule refl :args (@t46)) % 0.38/0.57 (step @p53 :rule nary_cong :premises (@p52 @p51) :args ((or @t46 (not @t45)))) % 0.38/0.57 (step @p54 :rule cnf_or_neg :args (@t46 0)) % 0.38/0.57 (step @p55 :rule eq_resolve :premises (@p54 @p53)) % 0.38/0.57 (step @p56 :rule reordering :premises (@p55) :args ((or @t44 @t46))) % 0.38/0.57 (step @p57 :rule chain_m_resolution :premises (@p56 @p32) :args (@t44 @t38 @t47)) % 0.38/0.57 (step @p58 :rule cnf_equiv_pos1 :args (@t60)) % 0.38/0.57 (step @p59 :rule reordering :premises (@p58) :args ((or @t45 @t59 (not @t60)))) % 0.38/0.57 (step @p60 :rule chain_m_resolution :premises (@p59 @p57 @p50) :args (@t59 @t55 (@list @t44 @t60))) % 0.38/0.57 (step @p61 :rule cnf_and_pos :args (@t59 0)) % 0.38/0.57 (step @p62 :rule reordering :premises (@p61) :args ((or @t58 @t61))) % 0.38/0.57 (step @p63 :rule chain_m_resolution :premises (@p62 @p60) :args (@t58 @t62 @t63)) % 0.38/0.57 (step @p64 :rule cnf_or_pos :args (@t65)) % 0.38/0.57 (step @p65 :rule reordering :premises (@p64) :args ((or @t49 @t64 (not @t65)))) % 0.38/0.57 (step @p66 :rule chain_m_resolution :premises (@p65 @p63 @p49) :args (@t49 @t55 (@list @t58 @t65))) % 0.38/0.57 (step @p67 :rule instantiate :premises (@p14) :args ((@list @t27 @t24))) % 0.38/0.57 (step @p68 :rule bool-double-not-elim :args (@t33)) % 0.38/0.57 (step @p69 :rule nary_cong :premises (@p40 @p68) :args ((or @t37 (not @t34)))) % 0.38/0.57 (step @p70 :rule cnf_or_neg :args (@t37 1)) % 0.38/0.57 (step @p71 :rule eq_resolve :premises (@p70 @p69)) % 0.38/0.57 (step @p72 :rule reordering :premises (@p71) :args ((or @t33 @t37))) % 0.38/0.57 (step @p73 :rule chain_m_resolution :premises (@p72 @p26) :args (@t33 @t38 @t39)) % 0.38/0.57 (step @p74 :rule cnf_equiv_pos1 :args (@t67)) % 0.38/0.57 (step @p75 :rule reordering :premises (@p74) :args ((or @t34 @t66 (not @t67)))) % 0.38/0.57 (step @p76 :rule chain_m_resolution :premises (@p75 @p73 @p67) :args (@t66 @t55 (@list @t33 @t67))) % 0.38/0.57 (step @p77 :rule instantiate :premises (@p76) :args (@t56)) % 0.38/0.57 (step @p78 :rule cnf_and_pos :args (@t59 1)) % 0.38/0.57 (step @p79 :rule reordering :premises (@p78) :args ((or @t57 @t61))) % 0.38/0.57 (step @p80 :rule chain_m_resolution :premises (@p79 @p60) :args (@t57 @t62 @t63)) % 0.38/0.57 (step @p81 :rule cnf_or_pos :args (@t69)) % 0.38/0.57 (step @p82 :rule reordering :premises (@p81) :args ((or @t48 @t68 (not @t69)))) % 0.38/0.57 (step @p83 :rule chain_m_resolution :premises (@p82 @p80 @p77) :args (@t48 @t55 (@list @t57 @t69))) % 0.38/0.57 (step @p84 :rule cnf_and_neg :args (@t50)) % 0.38/0.57 (step @p85 false :rule chain_m_resolution :premises (@p84 @p83 @p66 @p37) :args (false (@list false false true) (@list @t48 @t49 @t50))) % 0.38/0.57 ) % 0.38/0.57 % SZS output end Proof % 0.38/0.57 % cvc5 exiting %------------------------------------------------------------------------------