%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU608^2 : 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 : n001.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 08:52:24 AM UTC 2026 % Result : Theorem 0.34s 0.56s % Output : Proof 0.34s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.13 % Problem : SEU608^2 : TPTP v9.2.1. Released v3.7.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n001.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Tue Jun 2 17:43:50 EDT 2026 % 0.18/0.35 % CPUTime : % 0.34/0.50 %----Proving TH0 % 0.34/0.56 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.34/0.56 % SZS status Theorem % 0.34/0.56 % SZS output start Proof % 0.34/0.56 ( % 0.34/0.56 (declare-sort $$unsorted 0) % 0.34/0.56 (declare-const tptp.setminusER Bool) % 0.34/0.56 (declare-const tptp.setminus (-> $$unsorted $$unsorted $$unsorted)) % 0.34/0.56 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.34/0.56 (define @t1 () (@var "B" $$unsorted)) % 0.34/0.56 (define @t2 () (@var "Xx" $$unsorted)) % 0.34/0.56 (define @t3 () (_ tptp.in @t2)) % 0.34/0.56 (define @t4 () (_ @t3 @t1)) % 0.34/0.56 (define @t5 () (not @t4)) % 0.34/0.56 (define @t6 () (@var "A" $$unsorted)) % 0.34/0.56 (define @t7 () (_ (_ tptp.setminus @t6) @t1)) % 0.34/0.56 (define @t8 () (_ @t3 @t7)) % 0.34/0.56 (define @t9 () (@list @t6 @t1 @t2)) % 0.34/0.56 (define @t10 () (forall @t9 (=> @t8 @t5))) % 0.34/0.56 (define @t11 () (= tptp.setminusER @t10)) % 0.34/0.56 (define @t12 () (not @t8)) % 0.34/0.56 (define @t13 () (forall @t9 (=> @t4 @t12))) % 0.34/0.56 (define @t14 () (=> tptp.setminusER @t13)) % 0.34/0.56 (define @t15 () (not @t14)) % 0.34/0.56 (define @t16 () (tptp.setminus @t6 @t1)) % 0.34/0.56 (define @t17 () (tptp.in @t2 @t16)) % 0.34/0.56 (define @t18 () (not @t17)) % 0.34/0.56 (define @t19 () (tptp.in @t2 @t1)) % 0.34/0.56 (define @t20 () (not @t19)) % 0.34/0.56 (define @t21 () (or @t20 @t18)) % 0.34/0.56 (define @t22 () (forall @t9 @t21)) % 0.34/0.56 (define @t23 () (or @t12 @t5)) % 0.34/0.56 (define @t24 () (=> tptp.setminusER @t22)) % 0.34/0.56 (define @t25 () (or @t5 @t12)) % 0.34/0.56 (define @t26 () (or @t18 @t20)) % 0.34/0.56 (define @t27 () (forall @t9 @t26)) % 0.34/0.56 (define @t28 () (@list false)) % 0.34/0.56 (assume @p1 @t11) % 0.34/0.56 (assume @p2 @t15) % 0.34/0.56 (assume @p3 true) % 0.34/0.56 (step @p4 :rule refl :args (@t22)) % 0.34/0.56 (step @p5 :rule refl :args (@t19)) % 0.34/0.56 (step @p6 :rule refl :args (@t4)) % 0.34/0.56 (step @p7 :rule cong :premises (@p6 @p5) :args ((= @t4 @t19))) % 0.34/0.56 (step @p8 :rule symm :premises (@p7)) % 0.34/0.56 (step @p9 :rule eq_resolve :premises (@p6 @p8)) % 0.34/0.56 (step @p10 :rule cong :premises (@p9) :args (@t5)) % 0.34/0.56 (step @p11 :rule refl :args ((tptp.in @t2 @t7))) % 0.34/0.56 (step @p12 :rule refl :args (@t16)) % 0.34/0.56 (step @p13 :rule refl :args (@t2)) % 0.34/0.56 (step @p14 :rule cong :premises (@p13 @p12) :args (@t17)) % 0.34/0.56 (step @p15 :rule trans :premises (@p14 @p11)) % 0.34/0.56 (step @p16 :rule refl :args (@t3)) % 0.34/0.56 (step @p17 :rule ho_cong :premises (@p16 @p12)) % 0.34/0.56 (step @p18 :rule cong :premises (@p17 @p15) :args ((= (_ @t3 @t16) @t17))) % 0.34/0.56 (step @p19 :rule symm :premises (@p18)) % 0.34/0.56 (step @p20 :rule refl :args (@t8)) % 0.34/0.56 (step @p21 :rule eq_resolve :premises (@p20 @p19)) % 0.34/0.56 (step @p22 :rule refl :args (@t7)) % 0.34/0.56 (step @p23 :rule cong :premises (@p22 @p12) :args ((= @t7 @t16))) % 0.34/0.56 (step @p24 :rule symm :premises (@p23)) % 0.34/0.56 (step @p25 :rule eq_resolve :premises (@p22 @p24)) % 0.34/0.56 (step @p26 :rule ho_cong :premises (@p16 @p25)) % 0.34/0.56 (step @p27 :rule trans :premises (@p26 @p21)) % 0.34/0.56 (step @p28 :rule cong :premises (@p27) :args (@t12)) % 0.34/0.56 (step @p29 :rule nary_cong :premises (@p28 @p10) :args (@t23)) % 0.34/0.56 (step @p30 :rule cong :premises (@p29) :args ((forall @t9 @t23))) % 0.34/0.56 (step @p31 :rule bool-impl-elim :args (@t8 @t5)) % 0.34/0.56 (step @p32 :rule cong :premises (@p31) :args (@t10)) % 0.34/0.56 (step @p33 :rule trans :premises (@p32 @p30)) % 0.34/0.56 (step @p34 :rule refl :args (tptp.setminusER)) % 0.34/0.56 (step @p35 :rule cong :premises (@p34 @p33) :args (@t11)) % 0.34/0.56 (step @p36 :rule eq_resolve :premises (@p1 @p35)) % 0.34/0.56 (step @p37 :rule cong :premises (@p36 @p4) :args (@t24)) % 0.34/0.56 (step @p38 :rule cong :premises (@p37) :args ((not @t24))) % 0.34/0.57 (step @p39 :rule nary_cong :premises (@p10 @p28) :args (@t25)) % 0.34/0.57 (step @p40 :rule cong :premises (@p39) :args ((forall @t9 @t25))) % 0.34/0.57 (step @p41 :rule bool-impl-elim :args (@t4 @t12)) % 0.34/0.57 (step @p42 :rule cong :premises (@p41) :args (@t13)) % 0.34/0.57 (step @p43 :rule trans :premises (@p42 @p40)) % 0.34/0.57 (step @p44 :rule cong :premises (@p34 @p43) :args (@t14)) % 0.34/0.57 (step @p45 :rule cong :premises (@p44) :args (@t15)) % 0.34/0.57 (step @p46 :rule trans :premises (@p45 @p38)) % 0.34/0.57 (step @p47 :rule eq_resolve :premises (@p2 @p46)) % 0.34/0.57 (step @p48 :rule not_implies_elim1 :premises (@p47)) % 0.34/0.57 (step @p49 :rule aci_norm :args ((= @t21 @t26))) % 0.34/0.57 (step @p50 :rule cong :premises (@p49) :args (@t22)) % 0.34/0.57 (step @p51 :rule true_intro :premises (@p50)) % 0.34/0.57 (step @p52 :rule eq-symm :args (@t27 @t22)) % 0.34/0.57 (step @p53 :rule trans :premises (@p52 @p51)) % 0.34/0.57 (step @p54 :rule true_elim :premises (@p53)) % 0.34/0.57 (step @p55 :rule equiv_elim1 :premises (@p54)) % 0.34/0.57 (step @p56 :rule reordering :premises (@p55) :args ((or @t22 (not @t27)))) % 0.34/0.57 (step @p57 :rule chain_m_resolution :premises (@p56 @p48) :args (@t22 @t28 (@list @t27))) % 0.34/0.57 (step @p58 :rule not_implies_elim2 :premises (@p47)) % 0.34/0.57 (step @p59 false :rule chain_m_resolution :premises (@p58 @p57) :args (false @t28 (@list @t22))) % 0.34/0.57 ) % 0.34/0.57 % SZS output end Proof % 0.34/0.57 % cvc5 exiting %------------------------------------------------------------------------------