%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO197^5 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n006.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 09:12:13 AM UTC 2026 % Result : Theorem 0.35s 0.55s % Output : Proof 0.35s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYO197^5 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n006.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Wed Jun 3 00:00:19 EDT 2026 % 0.17/0.34 % CPUTime : % 0.23/0.49 %----Proving TH0 % 0.35/0.55 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.35/0.55 % SZS status Theorem % 0.35/0.55 % SZS output start Proof % 0.35/0.55 ( % 0.35/0.55 (define @t1 () (@var "Xx" Bool)) % 0.35/0.55 (define @t2 () (@var "Xz" Bool)) % 0.35/0.55 (define @t3 () (=> @t2 @t1)) % 0.35/0.55 (define @t4 () (@list @t1)) % 0.35/0.55 (define @t5 () (exists @t4 @t3)) % 0.35/0.55 (define @t6 () (@list @t2)) % 0.35/0.55 (define @t7 () (forall @t6 @t5)) % 0.35/0.55 (define @t8 () (@list (@var "Xy" Bool))) % 0.35/0.55 (define @t9 () (exists @t8 @t7)) % 0.35/0.55 (define @t10 () (not @t9)) % 0.35/0.55 (define @t11 () (not true)) % 0.35/0.55 (define @t12 () (forall @t8 @t11)) % 0.35/0.55 (define @t13 () (not @t12)) % 0.35/0.55 (define @t14 () (@var "BOUND_VARIABLE_7423" Bool)) % 0.35/0.55 (define @t15 () (not @t14)) % 0.35/0.55 (define @t16 () (@list @t14)) % 0.35/0.55 (define @t17 () (or @t15 @t15)) % 0.35/0.55 (define @t18 () (forall @t16 @t15)) % 0.35/0.55 (define @t19 () (not @t1)) % 0.35/0.55 (define @t20 () (forall @t4 @t19)) % 0.35/0.55 (define @t21 () (forall @t4 @t2)) % 0.35/0.55 (define @t22 () (and @t21 @t20)) % 0.35/0.55 (define @t23 () (forall @t4 (not @t3))) % 0.35/0.55 (define @t24 () (not @t23)) % 0.35/0.55 (assume @p1 @t10) % 0.35/0.55 (assume @p2 true) % 0.35/0.55 (step @p3 :rule evaluate :args (@t11)) % 0.35/0.55 (step @p4 :rule evaluate :args ((not false))) % 0.35/0.55 (step @p5 :rule quant-unused-vars :args ((= (forall @t8 false) false))) % 0.35/0.55 (step @p6 :rule cong :premises (@p3) :args (@t12)) % 0.35/0.55 (step @p7 :rule trans :premises (@p6 @p5)) % 0.35/0.55 (step @p8 :rule cong :premises (@p7) :args (@t13)) % 0.35/0.55 (step @p9 :rule trans :premises (@p8 @p4)) % 0.35/0.55 (step @p10 :rule exists-elim :args ((= (exists @t8 true) @t13))) % 0.35/0.55 (step @p11 :rule trans :premises (@p10 @p9)) % 0.35/0.55 (step @p12 :rule quant-unused-vars :args ((= (forall @t6 true) true))) % 0.35/0.55 (step @p13 :rule absorb :args ((= (and @t2 false) false))) % 0.35/0.55 (step @p14 :rule quant-var-elim-eq :args ((= (forall @t16 (or (not (= @t14 true)) @t15)) @t11))) % 0.35/0.55 (step @p15 :rule refl :args (@t15)) % 0.35/0.55 (step @p16 :rule bool-eq-true :args (@t14)) % 0.35/0.55 (step @p17 :rule symm :premises (@p16)) % 0.35/0.55 (step @p18 :rule cong :premises (@p17) :args (@t15)) % 0.35/0.55 (step @p19 :rule nary_cong :premises (@p18 @p15) :args (@t17)) % 0.35/0.55 (step @p20 :rule aci_norm :args ((= @t15 @t17))) % 0.35/0.55 (step @p21 :rule trans :premises (@p20 @p19)) % 0.35/0.55 (step @p22 :rule cong :premises (@p21) :args (@t18)) % 0.35/0.55 (step @p23 :rule trans :premises (@p22 @p14)) % 0.35/0.55 (step @p24 :rule trans :premises (@p23 @p3)) % 0.35/0.55 (step @p25 :rule refl :args (@t2)) % 0.35/0.55 (step @p26 :rule nary_cong :premises (@p25 @p24) :args ((and @t2 @t18))) % 0.35/0.55 (step @p27 :rule trans :premises (@p26 @p13)) % 0.35/0.55 (step @p28 :rule alpha_equiv :args (@t20 (@list @t1) (@list @t14))) % 0.35/0.55 (step @p29 :rule quant-unused-vars :args ((= @t21 @t2))) % 0.35/0.55 (step @p30 :rule nary_cong :premises (@p29 @p28) :args (@t22)) % 0.35/0.55 (step @p31 :rule quant-miniscope-and :args ((= (forall @t4 (and @t2 @t19)) @t22))) % 0.35/0.55 (step @p32 :rule trans :premises (@p31 @p30)) % 0.35/0.55 (step @p33 :rule trans :premises (@p32 @p27)) % 0.35/0.55 (step @p34 :rule bool-implies-de-morgan :args (@t2 @t1)) % 0.35/0.55 (step @p35 :rule cong :premises (@p34) :args (@t23)) % 0.35/0.55 (step @p36 :rule trans :premises (@p35 @p33)) % 0.35/0.55 (step @p37 :rule cong :premises (@p36) :args (@t24)) % 0.35/0.55 (step @p38 :rule trans :premises (@p37 @p4)) % 0.35/0.55 (step @p39 :rule exists-elim :args ((= @t5 @t24))) % 0.35/0.55 (step @p40 :rule trans :premises (@p39 @p38)) % 0.35/0.55 (step @p41 :rule cong :premises (@p40) :args (@t7)) % 0.35/0.55 (step @p42 :rule trans :premises (@p41 @p12)) % 0.35/0.55 (step @p43 :rule cong :premises (@p42) :args (@t9)) % 0.35/0.55 (step @p44 :rule trans :premises (@p43 @p11)) % 0.35/0.55 (step @p45 :rule cong :premises (@p44) :args (@t10)) % 0.35/0.55 (step @p46 :rule trans :premises (@p45 @p3)) % 0.35/0.55 (step @p47 false :rule eq_resolve :premises (@p1 @p46)) % 0.35/0.55 ) % 0.35/0.55 % SZS output end Proof % 0.35/0.55 % cvc5 exiting %------------------------------------------------------------------------------