%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYN357^5 : 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 : n019.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 09:08:40 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 : SYN357^5 : 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 % 0.16/0.34 % Computer : n019.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.35 % DateTime : Tue Jun 2 23:24:34 EDT 2026 % 0.16/0.35 % 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" $$unsorted)) % 0.28/0.55 (define @t2 () (_ tptp.cP @t1)) % 0.28/0.55 (define @t3 () (@var "X" $$unsorted)) % 0.28/0.55 (define @t4 () (_ tptp.cP @t3)) % 0.28/0.55 (define @t5 () (=> @t4 @t2)) % 0.28/0.55 (define @t6 () (@list @t1)) % 0.28/0.55 (define @t7 () (exists @t6 @t5)) % 0.28/0.55 (define @t8 () (@list @t3)) % 0.28/0.55 (define @t9 () (forall @t8 @t7)) % 0.28/0.55 (define @t10 () (not @t9)) % 0.28/0.55 (define @t11 () (tptp.cP @t3)) % 0.28/0.55 (define @t12 () (not @t4)) % 0.28/0.55 (define @t13 () (forall @t8 @t12)) % 0.28/0.55 (define @t14 () (@var "BOUND_VARIABLE_7424" $$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 (not @t15))) % 0.28/0.55 (define @t18 () (not @t17)) % 0.28/0.55 (define @t19 () (or @t18 @t13)) % 0.28/0.55 (define @t20 () (or @t18 @t12)) % 0.28/0.55 (define @t21 () (or @t12 @t18)) % 0.28/0.55 (define @t22 () (_ tptp.cP @t14)) % 0.28/0.55 (define @t23 () (not @t22)) % 0.28/0.55 (define @t24 () (forall @t16 @t23)) % 0.28/0.55 (define @t25 () (not @t2)) % 0.28/0.55 (define @t26 () (forall @t6 @t25)) % 0.28/0.55 (define @t27 () (@list @t14)) % 0.28/0.55 (define @t28 () (forall @t6 @t4)) % 0.28/0.55 (define @t29 () (and @t28 @t26)) % 0.28/0.55 (define @t30 () (forall @t6 (not @t5))) % 0.28/0.55 (define @t31 () (not @t30)) % 0.28/0.55 (define @t32 () (forall @t8 (not @t11))) % 0.28/0.55 (define @t33 () (@list false)) % 0.28/0.55 (assume @p1 @t10) % 0.28/0.55 (assume @p2 true) % 0.28/0.55 (step @p3 :rule refl :args (@t11)) % 0.28/0.55 (step @p4 :rule refl :args (@t4)) % 0.28/0.55 (step @p5 :rule cong :premises (@p4 @p3) :args ((= @t4 @t11))) % 0.28/0.55 (step @p6 :rule symm :premises (@p5)) % 0.28/0.55 (step @p7 :rule eq_resolve :premises (@p4 @p6)) % 0.28/0.55 (step @p8 :rule cong :premises (@p7) :args (@t12)) % 0.28/0.55 (step @p9 :rule cong :premises (@p8) :args (@t13)) % 0.28/0.55 (step @p10 :rule refl :args (@t18)) % 0.28/0.55 (step @p11 :rule nary_cong :premises (@p10 @p9) :args (@t19)) % 0.28/0.55 (step @p12 :rule quant-miniscope-or :args ((= (forall @t8 @t20) @t19))) % 0.28/0.55 (step @p13 :rule aci_norm :args ((= @t21 @t20))) % 0.28/0.55 (step @p14 :rule cong :premises (@p13) :args ((forall @t8 @t21))) % 0.28/0.55 (step @p15 :rule trans :premises (@p14 @p12)) % 0.28/0.55 (step @p16 :rule trans :premises (@p15 @p11)) % 0.28/0.55 (step @p17 :rule bool-and-de-morgan :args (@t4 @t17 true)) % 0.28/0.55 (step @p18 :rule cong :premises (@p17) :args ((forall @t8 (not (and @t4 @t17))))) % 0.28/0.55 (step @p19 :rule trans :premises (@p18 @p16)) % 0.28/0.55 (step @p20 :rule refl :args (@t15)) % 0.28/0.55 (step @p21 :rule refl :args (@t22)) % 0.28/0.55 (step @p22 :rule cong :premises (@p21 @p20) :args ((= @t22 @t15))) % 0.28/0.55 (step @p23 :rule symm :premises (@p22)) % 0.28/0.55 (step @p24 :rule eq_resolve :premises (@p21 @p23)) % 0.28/0.55 (step @p25 :rule cong :premises (@p24) :args (@t23)) % 0.28/0.55 (step @p26 :rule cong :premises (@p25) :args (@t24)) % 0.28/0.55 (step @p27 :rule refl :args (@t4)) % 0.28/0.55 (step @p28 :rule nary_cong :premises (@p27 @p26) :args ((and @t4 @t24))) % 0.28/0.55 (step @p29 :rule alpha_equiv :args (@t26 (@list @t1) @t27)) % 0.28/0.55 (step @p30 :rule quant-unused-vars :args ((= @t28 @t4))) % 0.28/0.55 (step @p31 :rule nary_cong :premises (@p30 @p29) :args (@t29)) % 0.28/0.55 (step @p32 :rule quant-miniscope-and :args ((= (forall @t6 (and @t4 @t25)) @t29))) % 0.28/0.55 (step @p33 :rule trans :premises (@p32 @p31)) % 0.28/0.55 (step @p34 :rule trans :premises (@p33 @p28)) % 0.28/0.56 (step @p35 :rule bool-implies-de-morgan :args (@t4 @t2)) % 0.28/0.56 (step @p36 :rule cong :premises (@p35) :args (@t30)) % 0.28/0.56 (step @p37 :rule trans :premises (@p36 @p34)) % 0.28/0.56 (step @p38 :rule cong :premises (@p37) :args (@t31)) % 0.28/0.56 (step @p39 :rule exists-elim :args ((= @t7 @t31))) % 0.28/0.56 (step @p40 :rule trans :premises (@p39 @p38)) % 0.28/0.56 (step @p41 :rule cong :premises (@p40) :args (@t9)) % 0.28/0.56 (step @p42 :rule trans :premises (@p41 @p19)) % 0.28/0.56 (step @p43 :rule cong :premises (@p42) :args (@t10)) % 0.28/0.56 (step @p44 :rule eq_resolve :premises (@p1 @p43)) % 0.28/0.56 (step @p45 :rule not_or_elim :premises (@p44) :args (0)) % 0.28/0.56 (step @p46 :rule not_not_elim :premises (@p45)) % 0.28/0.56 (step @p47 :rule alpha_equiv :args (@t17 @t27 (@list @t3))) % 0.28/0.56 (step @p48 :rule equiv_elim1 :premises (@p47)) % 0.28/0.56 (step @p49 :rule chain_m_resolution :premises (@p48 @p46) :args (@t32 @t33 (@list @t17))) % 0.28/0.56 (step @p50 :rule not_or_elim :premises (@p44) :args (1)) % 0.28/0.56 (step @p51 false :rule chain_m_resolution :premises (@p50 @p49) :args (false @t33 (@list @t32))) % 0.28/0.56 ) % 0.28/0.56 % SZS output end Proof % 0.28/0.56 % cvc5 exiting %------------------------------------------------------------------------------