%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU605^2 : TPTP v9.2.1. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n022.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 08:52:23 AM UTC 2026 % Result : Theorem 0.38s 0.56s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU605^2 : TPTP v9.2.1. Released v3.7.0. % 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 : n022.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 17:43:23 EDT 2026 % 0.16/0.35 % CPUTime : % 0.28/0.50 %----Proving TH0 % 0.38/0.56 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.38/0.56 % SZS status Theorem % 0.38/0.56 % SZS output start Proof % 0.38/0.56 ( % 0.38/0.56 (declare-sort $$unsorted 0) % 0.38/0.56 (declare-const tptp.setminusI Bool) % 0.38/0.56 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.38/0.56 (declare-const tptp.setminus (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.56 (define @t1 () (@var "B" $$unsorted)) % 0.38/0.56 (define @t2 () (@var "A" $$unsorted)) % 0.38/0.56 (define @t3 () (_ (_ tptp.setminus @t2) @t1)) % 0.38/0.56 (define @t4 () (@var "Xx" $$unsorted)) % 0.38/0.56 (define @t5 () (_ tptp.in @t4)) % 0.38/0.56 (define @t6 () (_ @t5 @t3)) % 0.38/0.56 (define @t7 () (_ @t5 @t1)) % 0.38/0.56 (define @t8 () (not @t7)) % 0.38/0.56 (define @t9 () (=> @t8 @t6)) % 0.38/0.56 (define @t10 () (_ @t5 @t2)) % 0.38/0.56 (define @t11 () (@list @t2 @t1 @t4)) % 0.38/0.56 (define @t12 () (forall @t11 (=> @t10 @t9))) % 0.38/0.56 (define @t13 () (= tptp.setminusI @t12)) % 0.38/0.56 (define @t14 () (=> @t10 @t7)) % 0.38/0.56 (define @t15 () (not @t6)) % 0.38/0.56 (define @t16 () (forall @t11 (=> @t15 @t14))) % 0.38/0.56 (define @t17 () (=> tptp.setminusI @t16)) % 0.38/0.56 (define @t18 () (not @t17)) % 0.38/0.56 (define @t19 () (tptp.in @t4 @t1)) % 0.38/0.56 (define @t20 () (tptp.in @t4 @t2)) % 0.38/0.56 (define @t21 () (not @t20)) % 0.38/0.56 (define @t22 () (tptp.setminus @t2 @t1)) % 0.38/0.56 (define @t23 () (tptp.in @t4 @t22)) % 0.38/0.56 (define @t24 () (or @t23 @t21 @t19)) % 0.38/0.56 (define @t25 () (forall @t11 @t24)) % 0.38/0.56 (define @t26 () (not @t10)) % 0.38/0.56 (define @t27 () (or @t26 @t7 @t6)) % 0.38/0.56 (define @t28 () (=> tptp.setminusI @t25)) % 0.38/0.56 (define @t29 () (or @t6 @t26 @t7)) % 0.38/0.56 (define @t30 () (or @t21 @t19 @t23)) % 0.38/0.56 (define @t31 () (forall @t11 @t30)) % 0.38/0.56 (define @t32 () (@list false)) % 0.38/0.56 (assume @p1 @t13) % 0.38/0.56 (assume @p2 @t18) % 0.38/0.56 (assume @p3 true) % 0.38/0.56 (step @p4 :rule refl :args (@t25)) % 0.38/0.56 (step @p5 :rule refl :args ((tptp.in @t4 @t3))) % 0.38/0.56 (step @p6 :rule refl :args (@t22)) % 0.38/0.56 (step @p7 :rule refl :args (@t4)) % 0.38/0.56 (step @p8 :rule cong :premises (@p7 @p6) :args (@t23)) % 0.38/0.56 (step @p9 :rule trans :premises (@p8 @p5)) % 0.38/0.56 (step @p10 :rule refl :args (@t5)) % 0.38/0.56 (step @p11 :rule ho_cong :premises (@p10 @p6)) % 0.38/0.56 (step @p12 :rule cong :premises (@p11 @p9) :args ((= (_ @t5 @t22) @t23))) % 0.38/0.56 (step @p13 :rule symm :premises (@p12)) % 0.38/0.56 (step @p14 :rule refl :args (@t6)) % 0.38/0.56 (step @p15 :rule eq_resolve :premises (@p14 @p13)) % 0.38/0.56 (step @p16 :rule refl :args (@t3)) % 0.38/0.56 (step @p17 :rule cong :premises (@p16 @p6) :args ((= @t3 @t22))) % 0.38/0.56 (step @p18 :rule symm :premises (@p17)) % 0.38/0.56 (step @p19 :rule eq_resolve :premises (@p16 @p18)) % 0.38/0.56 (step @p20 :rule ho_cong :premises (@p10 @p19)) % 0.38/0.56 (step @p21 :rule trans :premises (@p20 @p15)) % 0.38/0.56 (step @p22 :rule refl :args (@t19)) % 0.38/0.56 (step @p23 :rule refl :args (@t7)) % 0.38/0.56 (step @p24 :rule cong :premises (@p23 @p22) :args ((= @t7 @t19))) % 0.38/0.56 (step @p25 :rule symm :premises (@p24)) % 0.38/0.56 (step @p26 :rule eq_resolve :premises (@p23 @p25)) % 0.38/0.56 (step @p27 :rule refl :args (@t20)) % 0.38/0.56 (step @p28 :rule refl :args (@t10)) % 0.38/0.56 (step @p29 :rule cong :premises (@p28 @p27) :args ((= @t10 @t20))) % 0.38/0.56 (step @p30 :rule symm :premises (@p29)) % 0.38/0.56 (step @p31 :rule eq_resolve :premises (@p28 @p30)) % 0.38/0.56 (step @p32 :rule cong :premises (@p31) :args (@t26)) % 0.38/0.56 (step @p33 :rule nary_cong :premises (@p32 @p26 @p21) :args (@t27)) % 0.38/0.56 (step @p34 :rule cong :premises (@p33) :args ((forall @t11 @t27))) % 0.38/0.56 (step @p35 :rule aci_norm :args ((= (or @t26 (or @t7 @t6)) @t27))) % 0.38/0.56 (step @p36 :rule bool-double-not-elim :args (@t7)) % 0.38/0.56 (step @p37 :rule nary_cong :premises (@p36 @p14) :args ((or (not @t8) @t6))) % 0.38/0.56 (step @p38 :rule bool-impl-elim :args (@t8 @t6)) % 0.38/0.56 (step @p39 :rule trans :premises (@p38 @p37)) % 0.38/0.56 (step @p40 :rule refl :args (@t26)) % 0.38/0.56 (step @p41 :rule nary_cong :premises (@p40 @p39) :args ((or @t26 @t9))) % 0.38/0.56 (step @p42 :rule trans :premises (@p41 @p35)) % 0.38/0.56 (step @p43 :rule bool-impl-elim :args (@t10 @t9)) % 0.38/0.56 (step @p44 :rule trans :premises (@p43 @p42)) % 0.38/0.56 (step @p45 :rule cong :premises (@p44) :args (@t12)) % 0.38/0.56 (step @p46 :rule trans :premises (@p45 @p34)) % 0.38/0.56 (step @p47 :rule refl :args (tptp.setminusI)) % 0.38/0.56 (step @p48 :rule cong :premises (@p47 @p46) :args (@t13)) % 0.38/0.56 (step @p49 :rule eq_resolve :premises (@p1 @p48)) % 0.38/0.56 (step @p50 :rule cong :premises (@p49 @p4) :args (@t28)) % 0.38/0.56 (step @p51 :rule cong :premises (@p50) :args ((not @t28))) % 0.38/0.56 (step @p52 :rule nary_cong :premises (@p21 @p32 @p26) :args (@t29)) % 0.38/0.56 (step @p53 :rule cong :premises (@p52) :args ((forall @t11 @t29))) % 0.38/0.56 (step @p54 :rule aci_norm :args ((= (or @t6 (or @t26 @t7)) @t29))) % 0.38/0.56 (step @p55 :rule bool-impl-elim :args (@t10 @t7)) % 0.38/0.56 (step @p56 :rule nary_cong :premises (@p14 @p55) :args ((or @t6 @t14))) % 0.38/0.56 (step @p57 :rule trans :premises (@p56 @p54)) % 0.38/0.56 (step @p58 :rule refl :args (@t14)) % 0.38/0.56 (step @p59 :rule bool-double-not-elim :args (@t6)) % 0.38/0.56 (step @p60 :rule nary_cong :premises (@p59 @p58) :args ((or (not @t15) @t14))) % 0.38/0.56 (step @p61 :rule bool-impl-elim :args (@t15 @t14)) % 0.38/0.56 (step @p62 :rule trans :premises (@p61 @p60)) % 0.38/0.56 (step @p63 :rule trans :premises (@p62 @p57)) % 0.38/0.56 (step @p64 :rule cong :premises (@p63) :args (@t16)) % 0.38/0.56 (step @p65 :rule trans :premises (@p64 @p53)) % 0.38/0.56 (step @p66 :rule cong :premises (@p47 @p65) :args (@t17)) % 0.38/0.56 (step @p67 :rule cong :premises (@p66) :args (@t18)) % 0.38/0.56 (step @p68 :rule trans :premises (@p67 @p51)) % 0.38/0.56 (step @p69 :rule eq_resolve :premises (@p2 @p68)) % 0.38/0.56 (step @p70 :rule not_implies_elim1 :premises (@p69)) % 0.38/0.56 (step @p71 :rule aci_norm :args ((= @t24 @t30))) % 0.38/0.56 (step @p72 :rule cong :premises (@p71) :args (@t25)) % 0.38/0.56 (step @p73 :rule true_intro :premises (@p72)) % 0.38/0.56 (step @p74 :rule eq-symm :args (@t31 @t25)) % 0.38/0.56 (step @p75 :rule trans :premises (@p74 @p73)) % 0.38/0.56 (step @p76 :rule true_elim :premises (@p75)) % 0.38/0.56 (step @p77 :rule equiv_elim1 :premises (@p76)) % 0.38/0.56 (step @p78 :rule reordering :premises (@p77) :args ((or @t25 (not @t31)))) % 0.38/0.56 (step @p79 :rule chain_m_resolution :premises (@p78 @p70) :args (@t25 @t32 (@list @t31))) % 0.38/0.56 (step @p80 :rule not_implies_elim2 :premises (@p69)) % 0.38/0.56 (step @p81 false :rule chain_m_resolution :premises (@p80 @p79) :args (false @t32 (@list @t25))) % 0.38/0.56 ) % 0.38/0.56 % SZS output end Proof % 0.38/0.56 % cvc5 exiting %------------------------------------------------------------------------------