%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO077^5 : 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 : n015.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 09:12:00 AM UTC 2026 % Result : Theorem 0.28s 0.55s % Output : Proof 0.28s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYO077^5 : 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 : n015.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 : Tue Jun 2 23:58:19 EDT 2026 % 0.17/0.34 % CPUTime : % 0.28/0.49 %----Proving TH0 % 0.28/0.55 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.28/0.55 % SZS status Theorem % 0.28/0.55 % SZS output start Proof % 0.28/0.55 ( % 0.28/0.55 (declare-sort $$unsorted 0) % 0.28/0.55 (declare-const tptp.cP (-> $$unsorted Bool)) % 0.28/0.55 (define @t1 () (@var "Y" $$unsorted)) % 0.28/0.55 (define @t2 () (_ tptp.cP @t1)) % 0.28/0.55 (define @t3 () (@list @t1)) % 0.28/0.55 (define @t4 () (forall @t3 @t2)) % 0.28/0.55 (define @t5 () (@var "X" $$unsorted)) % 0.28/0.55 (define @t6 () (_ tptp.cP @t5)) % 0.28/0.55 (define @t7 () (=> @t6 @t4)) % 0.28/0.55 (define @t8 () (@list @t5)) % 0.28/0.55 (define @t9 () (exists @t8 @t7)) % 0.28/0.55 (define @t10 () (not @t9)) % 0.28/0.55 (define @t11 () (tptp.cP @t1)) % 0.28/0.55 (define @t12 () (forall @t3 @t11)) % 0.28/0.55 (define @t13 () (not @t12)) % 0.28/0.55 (define @t14 () (@var "BOUND_VARIABLE_7428" $$unsorted)) % 0.28/0.55 (define @t15 () (tptp.cP @t14)) % 0.28/0.55 (define @t16 () (@list @t14)) % 0.28/0.55 (define @t17 () (forall @t16 @t15)) % 0.28/0.55 (define @t18 () (_ tptp.cP @t14)) % 0.28/0.55 (define @t19 () (forall @t16 @t18)) % 0.28/0.55 (define @t20 () (forall @t8 @t13)) % 0.28/0.55 (define @t21 () (forall @t8 @t6)) % 0.28/0.55 (define @t22 () (@list @t14)) % 0.28/0.55 (define @t23 () (and @t21 @t20)) % 0.28/0.55 (define @t24 () (=> @t6 @t12)) % 0.28/0.55 (define @t25 () (forall @t8 (not @t24))) % 0.28/0.55 (define @t26 () (not @t25)) % 0.28/0.55 (define @t27 () (@list false)) % 0.28/0.55 (assume @p1 @t10) % 0.28/0.55 (assume @p2 true) % 0.28/0.55 (step @p3 :rule bool-double-not-elim :args ((and @t17 @t13))) % 0.28/0.55 (step @p4 :rule refl :args (@t13)) % 0.28/0.55 (step @p5 :rule refl :args (@t15)) % 0.28/0.55 (step @p6 :rule refl :args (@t18)) % 0.28/0.55 (step @p7 :rule cong :premises (@p6 @p5) :args ((= @t18 @t15))) % 0.28/0.55 (step @p8 :rule symm :premises (@p7)) % 0.28/0.55 (step @p9 :rule eq_resolve :premises (@p6 @p8)) % 0.28/0.55 (step @p10 :rule cong :premises (@p9) :args (@t19)) % 0.28/0.55 (step @p11 :rule nary_cong :premises (@p10 @p4) :args ((and @t19 @t13))) % 0.28/0.55 (step @p12 :rule quant-unused-vars :args ((= @t20 @t13))) % 0.28/0.55 (step @p13 :rule alpha_equiv :args (@t21 (@list @t5) @t22)) % 0.28/0.55 (step @p14 :rule nary_cong :premises (@p13 @p12) :args (@t23)) % 0.28/0.55 (step @p15 :rule quant-miniscope-and :args ((= (forall @t8 (and @t6 @t13)) @t23))) % 0.28/0.55 (step @p16 :rule trans :premises (@p15 @p14)) % 0.28/0.55 (step @p17 :rule trans :premises (@p16 @p11)) % 0.28/0.55 (step @p18 :rule bool-implies-de-morgan :args (@t6 @t12)) % 0.28/0.55 (step @p19 :rule cong :premises (@p18) :args (@t25)) % 0.28/0.55 (step @p20 :rule trans :premises (@p19 @p17)) % 0.28/0.55 (step @p21 :rule cong :premises (@p20) :args (@t26)) % 0.28/0.55 (step @p22 :rule exists-elim :args ((= (exists @t8 @t24) @t26))) % 0.28/0.55 (step @p23 :rule trans :premises (@p22 @p21)) % 0.28/0.55 (step @p24 :rule refl :args (@t11)) % 0.28/0.55 (step @p25 :rule refl :args (@t2)) % 0.28/0.55 (step @p26 :rule cong :premises (@p25 @p24) :args ((= @t2 @t11))) % 0.28/0.55 (step @p27 :rule symm :premises (@p26)) % 0.28/0.55 (step @p28 :rule eq_resolve :premises (@p25 @p27)) % 0.28/0.55 (step @p29 :rule cong :premises (@p28) :args (@t4)) % 0.28/0.55 (step @p30 :rule refl :args (@t6)) % 0.28/0.55 (step @p31 :rule cong :premises (@p30 @p29) :args (@t7)) % 0.28/0.55 (step @p32 :rule cong :premises (@p31) :args (@t9)) % 0.28/0.55 (step @p33 :rule trans :premises (@p32 @p23)) % 0.28/0.55 (step @p34 :rule cong :premises (@p33) :args (@t10)) % 0.28/0.55 (step @p35 :rule trans :premises (@p34 @p3)) % 0.28/0.55 (step @p36 :rule eq_resolve :premises (@p1 @p35)) % 0.28/0.55 (step @p37 :rule and_elim :premises (@p36) :args (0)) % 0.28/0.55 (step @p38 :rule alpha_equiv :args (@t17 @t22 (@list @t1))) % 0.28/0.55 (step @p39 :rule symm :premises (@p38)) % 0.28/0.55 (step @p40 :rule equiv_elim2 :premises (@p39)) % 0.28/0.55 (step @p41 :rule chain_m_resolution :premises (@p40 @p37) :args (@t12 @t27 (@list @t17))) % 0.28/0.55 (step @p42 :rule and_elim :premises (@p36) :args (1)) % 0.28/0.55 (step @p43 false :rule chain_m_resolution :premises (@p42 @p41) :args (false @t27 (@list @t12))) % 0.28/0.55 ) % 0.28/0.55 % SZS output end Proof % 0.28/0.55 % cvc5 exiting %------------------------------------------------------------------------------