%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU559^2 : TPTP v9.2.1. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n013.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 08:52:11 AM UTC 2026 % Result : Theorem 0.33s 0.56s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.13 % Problem : SEU559^2 : TPTP v9.2.1. Released v3.7.0. % 0.11/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n013.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 17:41:30 EDT 2026 % 0.17/0.36 % CPUTime : % 0.33/0.50 %----Proving TH0 % 0.33/0.56 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.33/0.56 % SZS status Theorem % 0.33/0.56 % SZS output start Proof % 0.33/0.56 ( % 0.33/0.56 (declare-sort $$unsorted 0) % 0.33/0.56 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.33/0.56 (define tptp.subset () (let ((_let_1 (@var "B" $$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))))))))) % 0.33/0.56 (define @t1 () (@var "B" $$unsorted)) % 0.33/0.56 (define @t2 () (@var "A" $$unsorted)) % 0.33/0.56 (define @t3 () (@var "Xx" $$unsorted)) % 0.33/0.56 (define @t4 () (_ tptp.in @t3)) % 0.33/0.56 (define @t5 () (_ @t4 @t1)) % 0.33/0.56 (define @t6 () (_ @t4 @t2)) % 0.33/0.56 (define @t7 () (@list @t3)) % 0.33/0.56 (define @t8 () (forall @t7 (=> @t6 @t5))) % 0.33/0.56 (define @t9 () (=> @t8 (_ (_ tptp.subset @t2) @t1))) % 0.33/0.56 (define @t10 () (@list @t2 @t1)) % 0.33/0.56 (define @t11 () (forall @t10 @t9)) % 0.33/0.56 (define @t12 () (not @t11)) % 0.33/0.56 (define @t13 () (lambda @t10 @t8)) % 0.33/0.56 (define @t14 () (tptp.in @t3 @t1)) % 0.39/0.56 (define @t15 () (tptp.in @t3 @t2)) % 0.39/0.56 (define @t16 () (forall @t7 (or (not @t15) @t14))) % 0.39/0.56 (define @t17 () (lambda (@list @t1) @t16)) % 0.39/0.56 (define @t18 () (_ (lambda @t10 @t16) @t2)) % 0.39/0.56 (define @t19 () (not @t6)) % 0.39/0.56 (define @t20 () (or @t19 @t5)) % 0.39/0.56 (define @t21 () (=> @t8 (_ @t18 @t1))) % 0.39/0.56 (define @t22 () (forall @t10 @t21)) % 0.39/0.56 (assume @p1 @t12) % 0.39/0.56 (assume @p2 true) % 0.39/0.56 (step @p3 (= tptp.subset @t13) :rule refl :args (@t13)) % 0.39/0.56 (step @p4 :rule evaluate :args ((not true))) % 0.39/0.56 (step @p5 :rule quant-unused-vars :args ((= (forall @t10 true) true))) % 0.39/0.56 (step @p6 :rule bool-or-taut2 :args (false @t16 false false)) % 0.39/0.56 (step @p7 :rule bool-impl-elim :args (@t16 @t16)) % 0.39/0.56 (step @p8 :rule trans :premises (@p7 @p6)) % 0.39/0.56 (step @p9 :rule cong :premises (@p8) :args ((forall @t10 (=> @t16 @t16)))) % 0.39/0.56 (step @p10 :rule trans :premises (@p9 @p5)) % 0.39/0.56 (step @p11 :rule beta-reduce :args ((= (_ @t17 @t1) @t16))) % 0.39/0.56 (step @p12 :rule refl :args (@t1)) % 0.39/0.56 (step @p13 :rule beta-reduce :args ((= @t18 @t17))) % 0.39/0.56 (step @p14 :rule ho_cong :premises (@p13 @p12)) % 0.39/0.56 (step @p15 :rule trans :premises (@p14 @p11)) % 0.39/0.56 (step @p16 :rule refl :args (@t14)) % 0.39/0.56 (step @p17 :rule refl :args (@t5)) % 0.39/0.56 (step @p18 :rule cong :premises (@p17 @p16) :args ((= @t5 @t14))) % 0.39/0.56 (step @p19 :rule symm :premises (@p18)) % 0.39/0.56 (step @p20 :rule eq_resolve :premises (@p17 @p19)) % 0.39/0.56 (step @p21 :rule refl :args (@t15)) % 0.39/0.56 (step @p22 :rule refl :args (@t6)) % 0.39/0.56 (step @p23 :rule cong :premises (@p22 @p21) :args ((= @t6 @t15))) % 0.39/0.56 (step @p24 :rule symm :premises (@p23)) % 0.39/0.56 (step @p25 :rule eq_resolve :premises (@p22 @p24)) % 0.39/0.56 (step @p26 :rule cong :premises (@p25) :args (@t19)) % 0.39/0.56 (step @p27 :rule nary_cong :premises (@p26 @p20) :args (@t20)) % 0.39/0.56 (step @p28 :rule cong :premises (@p27) :args ((forall @t7 @t20))) % 0.39/0.56 (step @p29 :rule bool-impl-elim :args (@t6 @t5)) % 0.39/0.56 (step @p30 :rule cong :premises (@p29) :args (@t8)) % 0.39/0.56 (step @p31 :rule trans :premises (@p30 @p28)) % 0.39/0.56 (step @p32 :rule cong :premises (@p31 @p15) :args (@t21)) % 0.39/0.56 (step @p33 :rule cong :premises (@p32) :args (@t22)) % 0.39/0.56 (step @p34 :rule trans :premises (@p33 @p10)) % 0.39/0.56 (step @p35 :rule cong :premises (@p34) :args ((not @t22))) % 0.39/0.56 (step @p36 :rule trans :premises (@p35 @p4)) % 0.39/0.56 (step @p37 :rule refl :args (@t2)) % 0.39/0.56 (step @p38 :rule cong :premises (@p31) :args (@t13)) % 0.39/0.56 (step @p39 :rule trans :premises (@p3 @p38)) % 0.39/0.56 (step @p40 :rule ho_cong :premises (@p39 @p37)) % 0.39/0.56 (step @p41 :rule ho_cong :premises (@p40 @p12)) % 0.39/0.56 (step @p42 :rule refl :args (@t8)) % 0.39/0.56 (step @p43 :rule cong :premises (@p42 @p41) :args (@t9)) % 0.39/0.56 (step @p44 :rule cong :premises (@p43) :args (@t11)) % 0.39/0.56 (step @p45 :rule cong :premises (@p44) :args (@t12)) % 0.39/0.56 (step @p46 :rule trans :premises (@p45 @p36)) % 0.39/0.56 (step @p47 false :rule eq_resolve :premises (@p1 @p46)) % 0.39/0.56 ) % 0.39/0.56 % SZS output end Proof % 0.39/0.56 % cvc5 exiting %------------------------------------------------------------------------------