%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU562^2 : 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 : n008.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 08:52:12 AM UTC 2026 % Result : Theorem 0.34s 0.57s % Output : Proof 0.34s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SEU562^2 : 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 % 0.17/0.35 % Computer : n008.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 17:42:03 EDT 2026 % 0.17/0.35 % CPUTime : % 0.34/0.50 %----Proving TH0 % 0.34/0.57 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.34/0.57 % SZS status Theorem % 0.34/0.57 % SZS output start Proof % 0.34/0.57 ( % 0.34/0.57 (declare-sort $$unsorted 0) % 0.34/0.57 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.34/0.57 (declare-const tptp.subsetI1 Bool) % 0.34/0.57 (define tptp.subset () (let ((_let_1 (@var "B" $$unsorted))) (let ((_let_2 (@var "Xx" $$unsorted))) (let ((_let_3 (_ tptp.in _let_2))) (let ((_let_4 (@var "A" $$unsorted))) (lambda (@list _let_4 _let_1) (forall (@list _let_2) (=> (_ _let_3 _let_4) (_ _let_3 _let_1))))))))) % 0.34/0.57 (define @t1 () (@var "B" $$unsorted)) % 0.34/0.57 (define @t2 () (@var "A" $$unsorted)) % 0.34/0.57 (define @t3 () (@var "Xx" $$unsorted)) % 0.34/0.57 (define @t4 () (_ tptp.in @t3)) % 0.34/0.57 (define @t5 () (_ @t4 @t1)) % 0.34/0.57 (define @t6 () (_ @t4 @t2)) % 0.34/0.57 (define @t7 () (@list @t3)) % 0.34/0.57 (define @t8 () (forall @t7 (=> @t6 @t5))) % 0.34/0.57 (define @t9 () (=> @t8 (_ (_ tptp.subset @t2) @t1))) % 0.34/0.57 (define @t10 () (@list @t2 @t1)) % 0.34/0.57 (define @t11 () (forall @t10 @t9)) % 0.34/0.57 (define @t12 () (=> tptp.subsetI1 @t11)) % 0.34/0.57 (define @t13 () (not @t12)) % 0.34/0.57 (define @t14 () (lambda @t10 @t8)) % 0.34/0.57 (define @t15 () (tptp.in @t3 @t1)) % 0.34/0.57 (define @t16 () (tptp.in @t3 @t2)) % 0.34/0.57 (define @t17 () (forall @t7 (or (not @t16) @t15))) % 0.34/0.57 (define @t18 () (lambda (@list @t1) @t17)) % 0.34/0.57 (define @t19 () (_ (lambda @t10 @t17) @t2)) % 0.34/0.57 (define @t20 () (not @t6)) % 0.34/0.57 (define @t21 () (or @t20 @t5)) % 0.34/0.57 (define @t22 () (=> @t8 (_ @t19 @t1))) % 0.34/0.57 (define @t23 () (forall @t10 @t22)) % 0.34/0.57 (define @t24 () (=> tptp.subsetI1 @t23)) % 0.34/0.57 (assume @p1 (= tptp.subsetI1 @t11)) % 0.34/0.57 (assume @p2 @t13) % 0.34/0.57 (assume @p3 true) % 0.34/0.57 (step @p4 (= tptp.subset @t14) :rule refl :args (@t14)) % 0.34/0.57 (step @p5 :rule evaluate :args ((not true))) % 0.34/0.57 (step @p6 :rule bool-impl-true1 :args (tptp.subsetI1)) % 0.34/0.57 (step @p7 :rule quant-unused-vars :args ((= (forall @t10 true) true))) % 0.34/0.57 (step @p8 :rule bool-or-taut2 :args (false @t17 false false)) % 0.34/0.57 (step @p9 :rule bool-impl-elim :args (@t17 @t17)) % 0.34/0.57 (step @p10 :rule trans :premises (@p9 @p8)) % 0.34/0.57 (step @p11 :rule cong :premises (@p10) :args ((forall @t10 (=> @t17 @t17)))) % 0.34/0.57 (step @p12 :rule trans :premises (@p11 @p7)) % 0.34/0.57 (step @p13 :rule beta-reduce :args ((= (_ @t18 @t1) @t17))) % 0.34/0.57 (step @p14 :rule refl :args (@t1)) % 0.34/0.57 (step @p15 :rule beta-reduce :args ((= @t19 @t18))) % 0.34/0.57 (step @p16 :rule ho_cong :premises (@p15 @p14)) % 0.34/0.57 (step @p17 :rule trans :premises (@p16 @p13)) % 0.34/0.57 (step @p18 :rule refl :args (@t15)) % 0.34/0.57 (step @p19 :rule refl :args (@t5)) % 0.34/0.57 (step @p20 :rule cong :premises (@p19 @p18) :args ((= @t5 @t15))) % 0.34/0.57 (step @p21 :rule symm :premises (@p20)) % 0.34/0.57 (step @p22 :rule eq_resolve :premises (@p19 @p21)) % 0.34/0.57 (step @p23 :rule refl :args (@t16)) % 0.34/0.57 (step @p24 :rule refl :args (@t6)) % 0.34/0.57 (step @p25 :rule cong :premises (@p24 @p23) :args ((= @t6 @t16))) % 0.34/0.57 (step @p26 :rule symm :premises (@p25)) % 0.34/0.57 (step @p27 :rule eq_resolve :premises (@p24 @p26)) % 0.34/0.57 (step @p28 :rule cong :premises (@p27) :args (@t20)) % 0.34/0.57 (step @p29 :rule nary_cong :premises (@p28 @p22) :args (@t21)) % 0.34/0.57 (step @p30 :rule cong :premises (@p29) :args ((forall @t7 @t21))) % 0.34/0.57 (step @p31 :rule bool-impl-elim :args (@t6 @t5)) % 0.34/0.57 (step @p32 :rule cong :premises (@p31) :args (@t8)) % 0.34/0.57 (step @p33 :rule trans :premises (@p32 @p30)) % 0.34/0.57 (step @p34 :rule cong :premises (@p33 @p17) :args (@t22)) % 0.34/0.57 (step @p35 :rule cong :premises (@p34) :args (@t23)) % 0.34/0.57 (step @p36 :rule trans :premises (@p35 @p12)) % 0.34/0.57 (step @p37 :rule refl :args (tptp.subsetI1)) % 0.34/0.57 (step @p38 :rule cong :premises (@p37 @p36) :args (@t24)) % 0.34/0.57 (step @p39 :rule trans :premises (@p38 @p6)) % 0.34/0.57 (step @p40 :rule cong :premises (@p39) :args ((not @t24))) % 0.34/0.57 (step @p41 :rule trans :premises (@p40 @p5)) % 0.34/0.57 (step @p42 :rule refl :args (@t2)) % 0.34/0.57 (step @p43 :rule cong :premises (@p33) :args (@t14)) % 0.34/0.57 (step @p44 :rule trans :premises (@p4 @p43)) % 0.34/0.57 (step @p45 :rule ho_cong :premises (@p44 @p42)) % 0.34/0.57 (step @p46 :rule ho_cong :premises (@p45 @p14)) % 0.34/0.57 (step @p47 :rule refl :args (@t8)) % 0.34/0.57 (step @p48 :rule cong :premises (@p47 @p46) :args (@t9)) % 0.34/0.57 (step @p49 :rule cong :premises (@p48) :args (@t11)) % 0.34/0.57 (step @p50 :rule cong :premises (@p37 @p49) :args (@t12)) % 0.34/0.57 (step @p51 :rule cong :premises (@p50) :args (@t13)) % 0.34/0.57 (step @p52 :rule trans :premises (@p51 @p41)) % 0.34/0.57 (step @p53 false :rule eq_resolve :premises (@p2 @p52)) % 0.34/0.57 ) % 0.34/0.57 % SZS output end Proof % 0.34/0.57 % cvc5 exiting %------------------------------------------------------------------------------