%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU697^2 : 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 08:52:46 AM UTC 2026 % Result : Theorem 0.35s 0.56s % Output : Proof 0.35s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SEU697^2 : 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 % 0.19/0.35 % Computer : n001.cluster.edu % 0.19/0.35 % Model : x86_64 x86_64 % 0.19/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.19/0.35 % Memory : 8042.1875MB % 0.19/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.19/0.35 % CPULimit : 300 % 0.19/0.35 % WCLimit : 300 % 0.19/0.35 % DateTime : Tue Jun 2 17:48:05 EDT 2026 % 0.19/0.35 % CPUTime : % 0.35/0.50 %----Proving TH0 % 0.35/0.56 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.35/0.56 % SZS status Theorem % 0.35/0.56 % SZS output start Proof % 0.35/0.56 ( % 0.35/0.56 (declare-sort $$unsorted 0) % 0.35/0.56 (declare-const tptp.dpsetconstr (-> $$unsorted $$unsorted (-> $$unsorted $$unsorted Bool) $$unsorted)) % 0.35/0.56 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.35/0.56 (define tptp.lam () (let ((_let_1 (@var "Xy" $$unsorted))) (let ((_let_2 (@var "Xx" $$unsorted))) (let ((_let_3 (@var "Xf" (-> $$unsorted $$unsorted)))) (let ((_let_4 (@var "B" $$unsorted))) (let ((_let_5 (@var "A" $$unsorted))) (lambda (@list _let_5 _let_4 _let_3) (_ (_ (_ tptp.dpsetconstr _let_5) _let_4) (lambda (@list _let_2 _let_1) (= (_ _let_3 _let_2) _let_1)))))))))) % 0.35/0.56 (define @t1 () (@var "Xx" $$unsorted)) % 0.35/0.56 (define @t2 () (@var "Xf" (-> $$unsorted $$unsorted))) % 0.35/0.56 (define @t3 () (_ @t2 @t1)) % 0.35/0.56 (define @t4 () (@list @t1)) % 0.35/0.56 (define @t5 () (lambda @t4 @t3)) % 0.35/0.56 (define @t6 () (@var "B" $$unsorted)) % 0.35/0.56 (define @t7 () (@var "A" $$unsorted)) % 0.35/0.56 (define @t8 () (_ (_ (_ tptp.lam @t7) @t6) @t5)) % 0.35/0.56 (define @t9 () (= @t8 @t8)) % 0.35/0.56 (define @t10 () (_ (_ tptp.in @t3) @t6)) % 0.35/0.56 (define @t11 () (_ (_ tptp.in @t1) @t7)) % 0.35/0.56 (define @t12 () (forall @t4 (=> @t11 @t10))) % 0.35/0.56 (define @t13 () (=> @t12 @t9)) % 0.35/0.56 (define @t14 () (@list @t7 @t6 @t2)) % 0.35/0.56 (define @t15 () (forall @t14 @t13)) % 0.35/0.56 (define @t16 () (not @t15)) % 0.35/0.56 (define @t17 () (@var "Xy" $$unsorted)) % 0.35/0.56 (define @t18 () (@list @t1 @t17)) % 0.35/0.56 (define @t19 () (lambda @t18 (= @t3 @t17))) % 0.35/0.56 (define @t20 () (_ (_ tptp.dpsetconstr @t7) @t6)) % 0.35/0.56 (define @t21 () (lambda @t14 (_ @t20 @t19))) % 0.35/0.56 (define @t22 () (_ @t2 @t1)) % 0.35/0.56 (define @t23 () (tptp.in @t22 @t6)) % 0.35/0.56 (define @t24 () (tptp.in @t1 @t7)) % 0.35/0.56 (define @t25 () (_ (_ (_ (lambda @t14 (_ @t20 (lambda @t18 (= @t17 @t3)))) @t7) @t6) @t5)) % 0.35/0.56 (define @t26 () (not @t11)) % 0.35/0.56 (define @t27 () (or @t26 @t10)) % 0.35/0.56 (define @t28 () (=> @t12 (= @t25 @t25))) % 0.35/0.56 (define @t29 () (forall @t14 @t28)) % 0.35/0.56 (assume @p1 @t16) % 0.35/0.56 (assume @p2 true) % 0.35/0.56 (step @p3 (= tptp.lam @t21) :rule refl :args (@t21)) % 0.35/0.56 (step @p4 :rule evaluate :args ((not true))) % 0.35/0.56 (step @p5 :rule quant-unused-vars :args ((= (forall @t14 true) true))) % 0.35/0.56 (step @p6 :rule bool-impl-true1 :args ((forall @t4 (or (not @t24) @t23)))) % 0.35/0.56 (step @p7 :rule eq-refl :args (@t25)) % 0.35/0.56 (step @p8 :rule refl :args ((tptp.in @t3 @t6))) % 0.35/0.56 (step @p9 :rule refl :args (@t6)) % 0.35/0.56 (step @p10 :rule refl :args (@t22)) % 0.35/0.56 (step @p11 :rule cong :premises (@p10 @p9) :args (@t23)) % 0.35/0.56 (step @p12 :rule trans :premises (@p11 @p8)) % 0.35/0.56 (step @p13 :rule refl :args (tptp.in)) % 0.35/0.56 (step @p14 :rule ho_cong :premises (@p13 @p10)) % 0.35/0.56 (step @p15 :rule ho_cong :premises (@p14 @p9)) % 0.35/0.56 (step @p16 :rule cong :premises (@p15 @p12) :args ((= (_ (_ tptp.in @t22) @t6) @t23))) % 0.35/0.56 (step @p17 :rule symm :premises (@p16)) % 0.35/0.56 (step @p18 :rule refl :args (@t10)) % 0.35/0.56 (step @p19 :rule eq_resolve :premises (@p18 @p17)) % 0.35/0.56 (step @p20 :rule refl :args (@t3)) % 0.35/0.56 (step @p21 :rule cong :premises (@p20 @p10) :args ((= @t3 @t22))) % 0.35/0.56 (step @p22 :rule symm :premises (@p21)) % 0.35/0.56 (step @p23 :rule eq_resolve :premises (@p20 @p22)) % 0.35/0.56 (step @p24 :rule ho_cong :premises (@p13 @p23)) % 0.35/0.56 (step @p25 :rule ho_cong :premises (@p24 @p9)) % 0.35/0.56 (step @p26 :rule trans :premises (@p25 @p19)) % 0.35/0.56 (step @p27 :rule refl :args (@t24)) % 0.35/0.56 (step @p28 :rule refl :args (@t11)) % 0.35/0.56 (step @p29 :rule cong :premises (@p28 @p27) :args ((= @t11 @t24))) % 0.35/0.56 (step @p30 :rule symm :premises (@p29)) % 0.35/0.56 (step @p31 :rule eq_resolve :premises (@p28 @p30)) % 0.35/0.56 (step @p32 :rule cong :premises (@p31) :args (@t26)) % 0.35/0.56 (step @p33 :rule nary_cong :premises (@p32 @p26) :args (@t27)) % 0.35/0.56 (step @p34 :rule cong :premises (@p33) :args ((forall @t4 @t27))) % 0.35/0.56 (step @p35 :rule bool-impl-elim :args (@t11 @t10)) % 0.35/0.56 (step @p36 :rule cong :premises (@p35) :args (@t12)) % 0.35/0.56 (step @p37 :rule trans :premises (@p36 @p34)) % 0.35/0.56 (step @p38 :rule cong :premises (@p37 @p7) :args (@t28)) % 0.35/0.56 (step @p39 :rule trans :premises (@p38 @p6)) % 0.35/0.56 (step @p40 :rule cong :premises (@p39) :args (@t29)) % 0.35/0.56 (step @p41 :rule trans :premises (@p40 @p5)) % 0.35/0.56 (step @p42 :rule cong :premises (@p41) :args ((not @t29))) % 0.35/0.56 (step @p43 :rule trans :premises (@p42 @p4)) % 0.35/0.56 (step @p44 :rule refl :args (@t5)) % 0.35/0.56 (step @p45 :rule refl :args (@t6)) % 0.35/0.56 (step @p46 :rule refl :args (@t7)) % 0.35/0.56 (step @p47 :rule eq-symm :args (@t3 @t17)) % 0.35/0.57 (step @p48 :rule cong :premises (@p47) :args (@t19)) % 0.35/0.57 (step @p49 :rule refl :args (@t20)) % 0.35/0.57 (step @p50 :rule ho_cong :premises (@p49 @p48)) % 0.35/0.57 (step @p51 :rule cong :premises (@p50) :args (@t21)) % 0.35/0.57 (step @p52 :rule trans :premises (@p3 @p51)) % 0.35/0.57 (step @p53 :rule ho_cong :premises (@p52 @p46)) % 0.35/0.57 (step @p54 :rule ho_cong :premises (@p53 @p45)) % 0.35/0.57 (step @p55 :rule ho_cong :premises (@p54 @p44)) % 0.35/0.57 (step @p56 :rule cong :premises (@p55 @p55) :args (@t9)) % 0.35/0.57 (step @p57 :rule refl :args (@t12)) % 0.35/0.57 (step @p58 :rule cong :premises (@p57 @p56) :args (@t13)) % 0.35/0.57 (step @p59 :rule cong :premises (@p58) :args (@t15)) % 0.35/0.57 (step @p60 :rule cong :premises (@p59) :args (@t16)) % 0.35/0.57 (step @p61 :rule trans :premises (@p60 @p43)) % 0.35/0.57 (step @p62 false :rule eq_resolve :premises (@p1 @p61)) % 0.35/0.57 ) % 0.35/0.57 % SZS output end Proof % 0.35/0.57 % cvc5 exiting %------------------------------------------------------------------------------