%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEV013^5 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n003.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 08:55:19 AM UTC 2026 % Result : Theorem 0.25s 0.55s % Output : Proof 0.25s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEV013^5 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n003.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 18:07:14 EDT 2026 % 0.15/0.34 % CPUTime : % 0.25/0.49 %----Proving TH0 % 0.25/0.55 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.25/0.55 % SZS status Theorem % 0.25/0.55 % SZS output start Proof % 0.25/0.55 ( % 0.25/0.55 (declare-sort tptp.a 0) % 0.25/0.55 (define @t1 () (@var "Xz" tptp.a)) % 0.25/0.55 (define @t2 () (@var "Xx" tptp.a)) % 0.25/0.55 (define @t3 () (= @t2 @t1)) % 0.25/0.55 (define @t4 () (@var "Xy" tptp.a)) % 0.25/0.55 (define @t5 () (= @t4 @t1)) % 0.25/0.55 (define @t6 () (= @t2 @t4)) % 0.25/0.55 (define @t7 () (and @t6 @t5)) % 0.25/0.55 (define @t8 () (@list @t2 @t4 @t1)) % 0.25/0.55 (define @t9 () (forall @t8 (=> @t7 @t3))) % 0.25/0.55 (define @t10 () (=> @t6 (= @t4 @t2))) % 0.25/0.55 (define @t11 () (@list @t2 @t4)) % 0.25/0.55 (define @t12 () (forall @t11 @t10)) % 0.25/0.55 (define @t13 () (@list @t2)) % 0.25/0.55 (define @t14 () (forall @t13 (= @t2 @t2))) % 0.25/0.55 (define @t15 () (and @t14 @t12 @t9)) % 0.25/0.55 (define @t16 () (not @t15)) % 0.25/0.55 (define @t17 () (@list @t4 @t1)) % 0.25/0.55 (define @t18 () (not @t5)) % 0.25/0.55 (define @t19 () (or @t18 @t5)) % 0.25/0.55 (define @t20 () (not (= @t4 @t4))) % 0.25/0.55 (define @t21 () (or @t20 @t18 @t5)) % 0.25/0.55 (define @t22 () (not @t6)) % 0.25/0.55 (define @t23 () (or @t22 @t22 @t18 @t3)) % 0.25/0.55 (define @t24 () (or @t22 @t18 @t3)) % 0.25/0.55 (define @t25 () (forall @t13 @t24)) % 0.25/0.55 (define @t26 () (forall @t17 @t25)) % 0.25/0.55 (define @t27 () (forall (@list @t4 @t1 @t2) @t24)) % 0.25/0.55 (assume @p1 @t16) % 0.25/0.55 (assume @p2 true) % 0.25/0.55 (step @p3 :rule evaluate :args ((not true))) % 0.25/0.55 (step @p4 :rule evaluate :args ((and true true true))) % 0.25/0.55 (step @p5 :rule quant-unused-vars :args ((= (forall @t17 true) true))) % 0.25/0.55 (step @p6 :rule bool-or-taut2 :args (false @t5 false false)) % 0.25/0.55 (step @p7 :rule cong :premises (@p6) :args ((forall @t17 @t19))) % 0.25/0.55 (step @p8 :rule trans :premises (@p7 @p5)) % 0.25/0.55 (step @p9 :rule aci_norm :args ((= (or false @t18 @t5) @t19))) % 0.25/0.55 (step @p10 :rule refl :args (@t5)) % 0.25/0.55 (step @p11 :rule refl :args (@t18)) % 0.25/0.55 (step @p12 :rule eq-refl :args (@t4)) % 0.25/0.55 (step @p13 :rule cong :premises (@p12) :args (@t20)) % 0.25/0.55 (step @p14 :rule trans :premises (@p13 @p3)) % 0.25/0.55 (step @p15 :rule nary_cong :premises (@p14 @p11 @p10) :args (@t21)) % 0.25/0.55 (step @p16 :rule trans :premises (@p15 @p9)) % 0.25/0.55 (step @p17 :rule cong :premises (@p16) :args ((forall @t17 @t21))) % 0.25/0.55 (step @p18 :rule trans :premises (@p17 @p8)) % 0.25/0.55 (step @p19 :rule quant-var-elim-eq :args ((= (forall @t13 @t23) @t21))) % 0.25/0.55 (step @p20 :rule aci_norm :args ((= @t24 @t23))) % 0.25/0.55 (step @p21 :rule cong :premises (@p20) :args (@t25)) % 0.25/0.55 (step @p22 :rule trans :premises (@p21 @p19)) % 0.25/0.55 (step @p23 :rule cong :premises (@p22) :args (@t26)) % 0.25/0.55 (step @p24 :rule quant-merge-prenex :args ((= @t26 @t27))) % 0.25/0.55 (step @p25 :rule symm :premises (@p24)) % 0.25/0.55 (step @p26 :rule quant_var_reordering :args ((= (forall @t8 @t24) @t27))) % 0.25/0.55 (step @p27 :rule trans :premises (@p26 @p25 @p23)) % 0.25/0.55 (step @p28 :rule trans :premises (@p27 @p18)) % 0.25/0.55 (step @p29 :rule aci_norm :args ((= (or (or @t22 @t18) @t3) @t24))) % 0.25/0.55 (step @p30 :rule refl :args (@t3)) % 0.25/0.55 (step @p31 :rule bool-and-de-morgan :args (@t6 @t5 true)) % 0.25/0.55 (step @p32 :rule nary_cong :premises (@p31 @p30) :args ((or (not @t7) @t3))) % 0.25/0.55 (step @p33 :rule trans :premises (@p32 @p29)) % 0.25/0.55 (step @p34 :rule bool-impl-elim :args (@t7 @t3)) % 0.25/0.55 (step @p35 :rule trans :premises (@p34 @p33)) % 0.25/0.55 (step @p36 :rule cong :premises (@p35) :args (@t9)) % 0.25/0.55 (step @p37 :rule trans :premises (@p36 @p28)) % 0.25/0.55 (step @p38 :rule quant-unused-vars :args ((= (forall @t11 true) true))) % 0.25/0.55 (step @p39 :rule bool-or-taut2 :args (false @t6 false false)) % 0.25/0.55 (step @p40 :rule bool-impl-elim :args (@t6 @t6)) % 0.25/0.55 (step @p41 :rule trans :premises (@p40 @p39)) % 0.25/0.55 (step @p42 :rule cong :premises (@p41) :args ((forall @t11 (=> @t6 @t6)))) % 0.25/0.55 (step @p43 :rule trans :premises (@p42 @p38)) % 0.25/0.55 (step @p44 :rule eq-symm :args (@t4 @t2)) % 0.25/0.55 (step @p45 :rule refl :args (@t6)) % 0.25/0.55 (step @p46 :rule cong :premises (@p45 @p44) :args (@t10)) % 0.25/0.55 (step @p47 :rule cong :premises (@p46) :args (@t12)) % 0.25/0.55 (step @p48 :rule trans :premises (@p47 @p43)) % 0.25/0.55 (step @p49 :rule quant-unused-vars :args ((= (forall @t13 true) true))) % 0.25/0.55 (step @p50 :rule eq-refl :args (@t2)) % 0.25/0.55 (step @p51 :rule cong :premises (@p50) :args (@t14)) % 0.25/0.55 (step @p52 :rule trans :premises (@p51 @p49)) % 0.25/0.55 (step @p53 :rule nary_cong :premises (@p52 @p48 @p37) :args (@t15)) % 0.25/0.55 (step @p54 :rule trans :premises (@p53 @p4)) % 0.25/0.55 (step @p55 :rule cong :premises (@p54) :args (@t16)) % 0.25/0.55 (step @p56 :rule trans :premises (@p55 @p3)) % 0.25/0.55 (step @p57 false :rule eq_resolve :premises (@p1 @p56)) % 0.25/0.55 ) % 0.25/0.55 % SZS output end Proof % 0.25/0.55 % cvc5 exiting %------------------------------------------------------------------------------