%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU607^2 : 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 : n020.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 0.31s 0.54s % Output : Proof 0.31s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU607^2 : TPTP v9.2.1. Released v3.7.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n020.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 17:43:10 EDT 2026 % 0.16/0.34 % CPUTime : % 0.31/0.48 %----Proving TH0 % 0.31/0.54 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.31/0.54 % SZS status Theorem % 0.31/0.54 % SZS output start Proof % 0.31/0.54 ( % 0.31/0.54 (declare-sort $$unsorted 0) % 0.31/0.54 (declare-const tptp.setminusEL Bool) % 0.31/0.54 (declare-const tptp.setminus (-> $$unsorted $$unsorted $$unsorted)) % 0.31/0.54 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.31/0.54 (define @t1 () (@var "A" $$unsorted)) % 0.31/0.54 (define @t2 () (@var "Xx" $$unsorted)) % 0.31/0.54 (define @t3 () (_ tptp.in @t2)) % 0.31/0.54 (define @t4 () (_ @t3 @t1)) % 0.31/0.54 (define @t5 () (@var "B" $$unsorted)) % 0.31/0.54 (define @t6 () (_ (_ tptp.setminus @t1) @t5)) % 0.31/0.54 (define @t7 () (_ @t3 @t6)) % 0.31/0.54 (define @t8 () (@list @t1 @t5 @t2)) % 0.31/0.54 (define @t9 () (forall @t8 (=> @t7 @t4))) % 0.31/0.54 (define @t10 () (= tptp.setminusEL @t9)) % 0.31/0.54 (define @t11 () (not @t7)) % 0.31/0.54 (define @t12 () (not @t4)) % 0.31/0.54 (define @t13 () (forall @t8 (=> @t12 @t11))) % 0.31/0.54 (define @t14 () (=> tptp.setminusEL @t13)) % 0.31/0.54 (define @t15 () (not @t14)) % 0.31/0.54 (define @t16 () (tptp.setminus @t1 @t5)) % 0.31/0.54 (define @t17 () (tptp.in @t2 @t16)) % 0.31/0.54 (define @t18 () (not @t17)) % 0.31/0.54 (define @t19 () (tptp.in @t2 @t1)) % 0.31/0.54 (define @t20 () (or @t19 @t18)) % 0.31/0.54 (define @t21 () (forall @t8 @t20)) % 0.31/0.54 (define @t22 () (or @t11 @t4)) % 0.31/0.54 (define @t23 () (=> tptp.setminusEL @t21)) % 0.31/0.54 (define @t24 () (or @t4 @t11)) % 0.31/0.54 (define @t25 () (or @t18 @t19)) % 0.31/0.54 (define @t26 () (forall @t8 @t25)) % 0.31/0.54 (define @t27 () (@list false)) % 0.31/0.54 (assume @p1 @t10) % 0.31/0.54 (assume @p2 @t15) % 0.31/0.54 (assume @p3 true) % 0.31/0.54 (step @p4 :rule refl :args (@t21)) % 0.31/0.54 (step @p5 :rule refl :args (@t19)) % 0.31/0.54 (step @p6 :rule refl :args (@t4)) % 0.31/0.54 (step @p7 :rule cong :premises (@p6 @p5) :args ((= @t4 @t19))) % 0.31/0.54 (step @p8 :rule symm :premises (@p7)) % 0.31/0.54 (step @p9 :rule eq_resolve :premises (@p6 @p8)) % 0.31/0.54 (step @p10 :rule refl :args ((tptp.in @t2 @t6))) % 0.31/0.54 (step @p11 :rule refl :args (@t16)) % 0.31/0.54 (step @p12 :rule refl :args (@t2)) % 0.31/0.54 (step @p13 :rule cong :premises (@p12 @p11) :args (@t17)) % 0.31/0.54 (step @p14 :rule trans :premises (@p13 @p10)) % 0.31/0.54 (step @p15 :rule refl :args (@t3)) % 0.31/0.54 (step @p16 :rule ho_cong :premises (@p15 @p11)) % 0.31/0.54 (step @p17 :rule cong :premises (@p16 @p14) :args ((= (_ @t3 @t16) @t17))) % 0.31/0.54 (step @p18 :rule symm :premises (@p17)) % 0.31/0.54 (step @p19 :rule refl :args (@t7)) % 0.31/0.54 (step @p20 :rule eq_resolve :premises (@p19 @p18)) % 0.31/0.54 (step @p21 :rule refl :args (@t6)) % 0.31/0.54 (step @p22 :rule cong :premises (@p21 @p11) :args ((= @t6 @t16))) % 0.31/0.54 (step @p23 :rule symm :premises (@p22)) % 0.31/0.54 (step @p24 :rule eq_resolve :premises (@p21 @p23)) % 0.31/0.54 (step @p25 :rule ho_cong :premises (@p15 @p24)) % 0.31/0.54 (step @p26 :rule trans :premises (@p25 @p20)) % 0.31/0.54 (step @p27 :rule cong :premises (@p26) :args (@t11)) % 0.31/0.54 (step @p28 :rule nary_cong :premises (@p27 @p9) :args (@t22)) % 0.31/0.54 (step @p29 :rule cong :premises (@p28) :args ((forall @t8 @t22))) % 0.31/0.54 (step @p30 :rule bool-impl-elim :args (@t7 @t4)) % 0.31/0.54 (step @p31 :rule cong :premises (@p30) :args (@t9)) % 0.31/0.54 (step @p32 :rule trans :premises (@p31 @p29)) % 0.31/0.54 (step @p33 :rule refl :args (tptp.setminusEL)) % 0.31/0.54 (step @p34 :rule cong :premises (@p33 @p32) :args (@t10)) % 0.31/0.54 (step @p35 :rule eq_resolve :premises (@p1 @p34)) % 0.31/0.54 (step @p36 :rule cong :premises (@p35 @p4) :args (@t23)) % 0.31/0.54 (step @p37 :rule cong :premises (@p36) :args ((not @t23))) % 0.31/0.54 (step @p38 :rule nary_cong :premises (@p9 @p27) :args (@t24)) % 0.31/0.54 (step @p39 :rule cong :premises (@p38) :args ((forall @t8 @t24))) % 0.31/0.54 (step @p40 :rule refl :args (@t11)) % 0.31/0.54 (step @p41 :rule bool-double-not-elim :args (@t4)) % 0.31/0.54 (step @p42 :rule nary_cong :premises (@p41 @p40) :args ((or (not @t12) @t11))) % 0.31/0.54 (step @p43 :rule bool-impl-elim :args (@t12 @t11)) % 0.31/0.54 (step @p44 :rule trans :premises (@p43 @p42)) % 0.31/0.54 (step @p45 :rule cong :premises (@p44) :args (@t13)) % 0.31/0.54 (step @p46 :rule trans :premises (@p45 @p39)) % 0.31/0.54 (step @p47 :rule cong :premises (@p33 @p46) :args (@t14)) % 0.31/0.54 (step @p48 :rule cong :premises (@p47) :args (@t15)) % 0.31/0.54 (step @p49 :rule trans :premises (@p48 @p37)) % 0.31/0.54 (step @p50 :rule eq_resolve :premises (@p2 @p49)) % 0.31/0.54 (step @p51 :rule not_implies_elim1 :premises (@p50)) % 0.31/0.54 (step @p52 :rule aci_norm :args ((= @t20 @t25))) % 0.31/0.54 (step @p53 :rule cong :premises (@p52) :args (@t21)) % 0.31/0.54 (step @p54 :rule true_intro :premises (@p53)) % 0.31/0.54 (step @p55 :rule eq-symm :args (@t26 @t21)) % 0.31/0.54 (step @p56 :rule trans :premises (@p55 @p54)) % 0.31/0.54 (step @p57 :rule true_elim :premises (@p56)) % 0.31/0.54 (step @p58 :rule equiv_elim1 :premises (@p57)) % 0.31/0.55 (step @p59 :rule reordering :premises (@p58) :args ((or @t21 (not @t26)))) % 0.31/0.55 (step @p60 :rule chain_m_resolution :premises (@p59 @p51) :args (@t21 @t27 (@list @t26))) % 0.31/0.55 (step @p61 :rule not_implies_elim2 :premises (@p50)) % 0.31/0.55 (step @p62 false :rule chain_m_resolution :premises (@p61 @p60) :args (false @t27 (@list @t21))) % 0.31/0.55 ) % 0.31/0.55 % SZS output end Proof % 0.31/0.55 % cvc5 exiting %------------------------------------------------------------------------------