%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU544^2 : 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 : n007.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 08:52:08 AM UTC 2026 % Result : Theorem 0.38s 0.56s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU544^2 : TPTP v9.2.1. Released v3.7.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.34 % Computer : n007.cluster.edu % 0.18/0.34 % Model : x86_64 x86_64 % 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.34 % Memory : 8042.1875MB % 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.34 % CPULimit : 300 % 0.18/0.34 % WCLimit : 300 % 0.18/0.34 % DateTime : Tue Jun 2 17:40:26 EDT 2026 % 0.18/0.35 % CPUTime : % 0.27/0.50 %----Proving TH0 % 0.38/0.56 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.38/0.56 % SZS status Theorem % 0.38/0.56 % SZS output start Proof % 0.38/0.56 ( % 0.38/0.56 (declare-sort $$unsorted 0) % 0.38/0.56 (define tptp.exu () (let ((_let_1 (@var "Xy" $$unsorted))) (let ((_let_2 (@var "Xx" $$unsorted))) (let ((_let_3 (@var "Xphi" (-> $$unsorted Bool)))) (lambda (@list _let_3) (exists (@list _let_2) (and (_ _let_3 _let_2) (forall (@list _let_1) (=> (_ _let_3 _let_1) (= _let_2 _let_1)))))))))) % 0.38/0.56 (define @t1 () (@var "Xx" $$unsorted)) % 0.38/0.56 (define @t2 () (@var "Xphi" (-> $$unsorted Bool))) % 0.38/0.56 (define @t3 () (_ @t2 @t1)) % 0.38/0.56 (define @t4 () (@list @t1)) % 0.38/0.56 (define @t5 () (lambda @t4 @t3)) % 0.38/0.56 (define @t6 () (@var "Xy" $$unsorted)) % 0.38/0.56 (define @t7 () (= @t1 @t6)) % 0.38/0.56 (define @t8 () (_ @t2 @t6)) % 0.38/0.56 (define @t9 () (@list @t6)) % 0.38/0.56 (define @t10 () (forall @t9 (=> @t8 @t7))) % 0.38/0.56 (define @t11 () (and @t3 @t10)) % 0.38/0.56 (define @t12 () (exists @t4 @t11)) % 0.38/0.56 (define @t13 () (=> @t12 (_ tptp.exu @t5))) % 0.38/0.56 (define @t14 () (@list @t2)) % 0.38/0.56 (define @t15 () (forall @t14 @t13)) % 0.38/0.56 (define @t16 () (not @t15)) % 0.38/0.56 (define @t17 () (lambda @t14 @t12)) % 0.38/0.56 (define @t18 () (_ @t2 @t6)) % 0.38/0.56 (define @t19 () (forall @t9 (or (not @t18) @t7))) % 0.38/0.56 (define @t20 () (not @t19)) % 0.38/0.56 (define @t21 () (_ @t2 @t1)) % 0.38/0.56 (define @t22 () (forall @t4 (or (not @t21) @t20))) % 0.38/0.56 (define @t23 () (not @t22)) % 0.38/0.56 (define @t24 () (not @t3)) % 0.38/0.56 (define @t25 () (or @t24 @t20)) % 0.38/0.56 (define @t26 () (not @t8)) % 0.38/0.56 (define @t27 () (or @t26 @t7)) % 0.38/0.56 (define @t28 () (_ @t5 @t6)) % 0.38/0.56 (define @t29 () (not @t28)) % 0.38/0.56 (define @t30 () (or @t29 @t7)) % 0.38/0.56 (define @t31 () (forall @t9 @t30)) % 0.38/0.56 (define @t32 () (not @t31)) % 0.38/0.56 (define @t33 () (_ @t5 @t1)) % 0.38/0.56 (define @t34 () (not @t33)) % 0.38/0.56 (define @t35 () (or @t34 @t32)) % 0.38/0.56 (define @t36 () (forall @t4 @t35)) % 0.38/0.56 (define @t37 () (not @t36)) % 0.38/0.56 (define @t38 () (_ (lambda @t14 @t23) @t5)) % 0.38/0.56 (define @t39 () (and @t3 @t19)) % 0.38/0.56 (define @t40 () (forall @t4 (not @t39))) % 0.38/0.56 (define @t41 () (not @t40)) % 0.38/0.56 (define @t42 () (=> @t12 @t38)) % 0.38/0.56 (define @t43 () (forall @t14 @t42)) % 0.38/0.56 (assume @p1 @t16) % 0.38/0.56 (assume @p2 true) % 0.38/0.56 (step @p3 (= tptp.exu @t17) :rule refl :args (@t17)) % 0.38/0.56 (step @p4 :rule evaluate :args ((not true))) % 0.38/0.56 (step @p5 :rule quant-unused-vars :args ((= (forall @t14 true) true))) % 0.38/0.56 (step @p6 :rule bool-or-taut :args (false @t22 false false)) % 0.38/0.56 (step @p7 :rule refl :args (@t23)) % 0.38/0.56 (step @p8 :rule bool-double-not-elim :args (@t22)) % 0.38/0.56 (step @p9 :rule nary_cong :premises (@p8 @p7) :args ((or (not @t23) @t23))) % 0.38/0.56 (step @p10 :rule bool-impl-elim :args (@t23 @t23)) % 0.38/0.56 (step @p11 :rule trans :premises (@p10 @p9)) % 0.38/0.56 (step @p12 :rule trans :premises (@p11 @p6)) % 0.38/0.56 (step @p13 :rule cong :premises (@p12) :args ((forall @t14 (=> @t23 @t23)))) % 0.38/0.56 (step @p14 :rule trans :premises (@p13 @p5)) % 0.38/0.56 (step @p15 :rule refl :args (@t20)) % 0.38/0.56 (step @p16 :rule refl :args (@t21)) % 0.38/0.56 (step @p17 :rule refl :args (@t3)) % 0.38/0.56 (step @p18 :rule cong :premises (@p17 @p16) :args ((= @t3 @t21))) % 0.38/0.56 (step @p19 :rule symm :premises (@p18)) % 0.38/0.56 (step @p20 :rule eq_resolve :premises (@p17 @p19)) % 0.38/0.56 (step @p21 :rule cong :premises (@p20) :args (@t24)) % 0.38/0.56 (step @p22 :rule nary_cong :premises (@p21 @p15) :args (@t25)) % 0.38/0.56 (step @p23 :rule cong :premises (@p22) :args ((forall @t4 @t25))) % 0.38/0.56 (step @p24 :rule refl :args (@t7)) % 0.38/0.56 (step @p25 :rule refl :args (@t18)) % 0.38/0.56 (step @p26 :rule refl :args (@t8)) % 0.38/0.56 (step @p27 :rule cong :premises (@p26 @p25) :args ((= @t8 @t18))) % 0.38/0.56 (step @p28 :rule symm :premises (@p27)) % 0.38/0.56 (step @p29 :rule eq_resolve :premises (@p26 @p28)) % 0.38/0.56 (step @p30 :rule cong :premises (@p29) :args (@t26)) % 0.38/0.56 (step @p31 :rule nary_cong :premises (@p30 @p24) :args (@t27)) % 0.38/0.56 (step @p32 :rule cong :premises (@p31) :args ((forall @t9 @t27))) % 0.38/0.56 (step @p33 :rule refl :args (@t7)) % 0.38/0.56 (step @p34 :rule beta-reduce :args ((= @t28 @t8))) % 0.38/0.56 (step @p35 :rule cong :premises (@p34) :args (@t29)) % 0.38/0.56 (step @p36 :rule nary_cong :premises (@p35 @p33) :args (@t30)) % 0.38/0.56 (step @p37 :rule cong :premises (@p36) :args (@t31)) % 0.38/0.56 (step @p38 :rule trans :premises (@p37 @p32)) % 0.38/0.56 (step @p39 :rule cong :premises (@p38) :args (@t32)) % 0.38/0.56 (step @p40 :rule beta-reduce :args ((= @t33 @t3))) % 0.38/0.56 (step @p41 :rule cong :premises (@p40) :args (@t34)) % 0.38/0.56 (step @p42 :rule nary_cong :premises (@p41 @p39) :args (@t35)) % 0.38/0.56 (step @p43 :rule cong :premises (@p42) :args (@t36)) % 0.38/0.56 (step @p44 :rule trans :premises (@p43 @p23)) % 0.38/0.56 (step @p45 :rule cong :premises (@p44) :args (@t37)) % 0.38/0.56 (step @p46 :rule beta-reduce :args ((= @t38 @t37))) % 0.38/0.56 (step @p47 :rule trans :premises (@p46 @p45)) % 0.38/0.56 (step @p48 :rule bool-and-de-morgan :args (@t3 @t19 true)) % 0.38/0.56 (step @p49 :rule cong :premises (@p48) :args (@t40)) % 0.38/0.56 (step @p50 :rule trans :premises (@p49 @p23)) % 0.38/0.56 (step @p51 :rule cong :premises (@p50) :args (@t41)) % 0.38/0.56 (step @p52 :rule exists-elim :args ((= (exists @t4 @t39) @t41))) % 0.38/0.56 (step @p53 :rule trans :premises (@p52 @p51)) % 0.38/0.56 (step @p54 :rule bool-impl-elim :args (@t8 @t7)) % 0.38/0.56 (step @p55 :rule cong :premises (@p54) :args (@t10)) % 0.38/0.56 (step @p56 :rule trans :premises (@p55 @p32)) % 0.38/0.56 (step @p57 :rule refl :args (@t3)) % 0.38/0.56 (step @p58 :rule nary_cong :premises (@p57 @p56) :args (@t11)) % 0.38/0.56 (step @p59 :rule cong :premises (@p58) :args (@t12)) % 0.38/0.56 (step @p60 :rule trans :premises (@p59 @p53)) % 0.38/0.56 (step @p61 :rule cong :premises (@p60 @p47) :args (@t42)) % 0.38/0.56 (step @p62 :rule cong :premises (@p61) :args (@t43)) % 0.38/0.56 (step @p63 :rule trans :premises (@p62 @p14)) % 0.38/0.56 (step @p64 :rule cong :premises (@p63) :args ((not @t43))) % 0.38/0.56 (step @p65 :rule trans :premises (@p64 @p4)) % 0.38/0.56 (step @p66 :rule refl :args (@t5)) % 0.38/0.56 (step @p67 :rule cong :premises (@p60) :args (@t17)) % 0.38/0.56 (step @p68 :rule trans :premises (@p3 @p67)) % 0.38/0.56 (step @p69 :rule ho_cong :premises (@p68 @p66)) % 0.38/0.56 (step @p70 :rule refl :args (@t12)) % 0.38/0.56 (step @p71 :rule cong :premises (@p70 @p69) :args (@t13)) % 0.38/0.56 (step @p72 :rule cong :premises (@p71) :args (@t15)) % 0.38/0.56 (step @p73 :rule cong :premises (@p72) :args (@t16)) % 0.38/0.56 (step @p74 :rule trans :premises (@p73 @p65)) % 0.38/0.56 (step @p75 false :rule eq_resolve :premises (@p1 @p74)) % 0.38/0.56 ) % 0.38/0.56 % SZS output end Proof % 0.38/0.56 % cvc5 exiting %------------------------------------------------------------------------------