%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO287^5 : 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 : 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 09:12:22 AM UTC 2026 % Result : Theorem 2.61s 2.87s % Output : Proof 2.61s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYO287^5 : 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 % 0.15/0.34 % Computer : n007.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 : Wed Jun 3 00:01:26 EDT 2026 % 0.15/0.34 % CPUTime : % 0.28/0.49 %----Proving TH0 % 2.61/2.87 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 2.61/2.87 % SZS status Theorem % 2.61/2.87 % SZS output start Proof % 2.61/2.87 ( % 2.61/2.87 (declare-sort $$unsorted 0) % 2.61/2.87 (declare-const tptp.c0 $$unsorted) % 2.61/2.87 (declare-const tptp.cA (-> $$unsorted Bool)) % 2.61/2.87 (declare-const tptp.cB (-> $$unsorted $$unsorted Bool)) % 2.61/2.87 (define @t1 () (@var "Xx" $$unsorted)) % 2.61/2.87 (define @t2 () (_ (_ tptp.cB @t1) @t1)) % 2.61/2.87 (define @t3 () (_ tptp.cA @t1)) % 2.61/2.87 (define @t4 () (or @t3 @t2)) % 2.61/2.87 (define @t5 () (@var "Xv" (-> $$unsorted $$unsorted Bool))) % 2.61/2.87 (define @t6 () (_ (_ @t5 @t1) tptp.c0)) % 2.61/2.87 (define @t7 () (= @t6 @t4)) % 2.61/2.87 (define @t8 () (@list @t1)) % 2.61/2.87 (define @t9 () (forall @t8 @t7)) % 2.61/2.87 (define @t10 () (@list @t5)) % 2.61/2.87 (define @t11 () (exists @t10 @t9)) % 2.61/2.87 (define @t12 () (not @t11)) % 2.61/2.87 (define @t13 () (tptp.cB @t1 @t1)) % 2.61/2.87 (define @t14 () (tptp.cA @t1)) % 2.61/2.87 (define @t15 () (or @t14 @t13)) % 2.61/2.87 (define @t16 () (_ @t5 @t1 tptp.c0)) % 2.61/2.87 (define @t17 () (forall @t8 (= @t16 @t15))) % 2.61/2.87 (define @t18 () (forall @t10 (not @t17))) % 2.61/2.87 (define @t19 () (@var "BOUND_VARIABLE_14497" $$unsorted)) % 2.61/2.87 (define @t20 () (lambda (@list @t19 (@var "BOUND_VARIABLE_14498" $$unsorted)) (or (tptp.cA @t19) (tptp.cB @t19 @t19)))) % 2.61/2.87 (define @t21 () (_ @t20 @t1 tptp.c0)) % 2.61/2.87 (define @t22 () (= @t21 @t15)) % 2.61/2.87 (define @t23 () (forall @t8 @t22)) % 2.61/2.87 (define @t24 () (not @t23)) % 2.61/2.87 (assume @p1 @t12) % 2.61/2.87 (assume @p2 true) % 2.61/2.87 (step @p3 :rule bool-double-not-elim :args (@t18)) % 2.61/2.87 (step @p4 :rule exists-elim :args ((= (exists @t10 @t17) (not @t18)))) % 2.61/2.87 (step @p5 :rule refl :args (@t13)) % 2.61/2.87 (step @p6 :rule refl :args (@t2)) % 2.61/2.87 (step @p7 :rule cong :premises (@p6 @p5) :args ((= @t2 @t13))) % 2.61/2.87 (step @p8 :rule symm :premises (@p7)) % 2.61/2.87 (step @p9 :rule eq_resolve :premises (@p6 @p8)) % 2.61/2.87 (step @p10 :rule refl :args (@t14)) % 2.61/2.87 (step @p11 :rule refl :args (@t3)) % 2.61/2.87 (step @p12 :rule cong :premises (@p11 @p10) :args ((= @t3 @t14))) % 2.61/2.87 (step @p13 :rule symm :premises (@p12)) % 2.61/2.87 (step @p14 :rule eq_resolve :premises (@p11 @p13)) % 2.61/2.87 (step @p15 :rule nary_cong :premises (@p14 @p9) :args (@t4)) % 2.61/2.87 (step @p16 :rule refl :args (@t16)) % 2.61/2.87 (step @p17 :rule refl :args (@t6)) % 2.61/2.87 (step @p18 :rule cong :premises (@p17 @p16) :args ((= @t6 @t16))) % 2.61/2.87 (step @p19 :rule symm :premises (@p18)) % 2.61/2.87 (step @p20 :rule eq_resolve :premises (@p17 @p19)) % 2.61/2.87 (step @p21 :rule cong :premises (@p20 @p15) :args (@t7)) % 2.61/2.87 (step @p22 :rule cong :premises (@p21) :args (@t9)) % 2.61/2.87 (step @p23 :rule cong :premises (@p22) :args (@t11)) % 2.61/2.87 (step @p24 :rule trans :premises (@p23 @p4)) % 2.61/2.87 (step @p25 :rule cong :premises (@p24) :args (@t12)) % 2.61/2.87 (step @p26 :rule trans :premises (@p25 @p3)) % 2.61/2.87 (step @p27 :rule eq_resolve :premises (@p1 @p26)) % 2.61/2.87 (step @p28 :rule bool-impl-false1 :args (@t18)) % 2.61/2.87 (step @p29 :rule evaluate :args ((not true))) % 2.61/2.87 (step @p30 :rule quant-unused-vars :args ((= (forall @t8 true) true))) % 2.61/2.87 (step @p31 :rule eq-refl :args (@t15)) % 2.61/2.87 (step @p32 :rule beta-reduce :args (@t22)) % 2.61/2.87 (step @p33 :rule refl :args (@t15)) % 2.61/2.87 (step @p34 :rule cong :premises (@p33 @p32) :args ((= @t15 @t21))) % 2.61/2.87 (step @p35 :rule trans :premises (@p34 @p31)) % 2.61/2.87 (step @p36 :rule eq-symm :args (@t21 @t15)) % 2.61/2.87 (step @p37 :rule trans :premises (@p36 @p35)) % 2.61/2.87 (step @p38 :rule cong :premises (@p37) :args (@t23)) % 2.61/2.87 (step @p39 :rule trans :premises (@p38 @p30)) % 2.61/2.87 (step @p40 :rule cong :premises (@p39) :args (@t24)) % 2.61/2.87 (step @p41 :rule trans :premises (@p40 @p29)) % 2.61/2.87 (step @p42 :rule refl :args (@t18)) % 2.61/2.87 (step @p43 :rule cong :premises (@p42 @p41) :args ((=> @t18 @t24))) % 2.61/2.87 (step @p44 :rule trans :premises (@p43 @p28)) % 2.61/2.87 (assume-push @p51 @t18) % 2.61/2.87 (step @p46 :rule instantiate :premises (@p27) :args ((@list @t20))) % 2.61/2.87 (step-pop @p52 :rule scope :premises (@p46)) % 2.61/2.87 (step @p47 :rule process_scope :premises (@p52) :args (@t24)) % 2.61/2.87 (step @p49 :rule eq_resolve :premises (@p47 @p44)) % 2.61/2.87 (step @p50 false :rule chain_m_resolution :premises (@p49 @p27) :args (false (@list false) (@list @t18))) % 2.61/2.87 ) % 2.61/2.87 % SZS output end Proof % 2.61/2.87 % cvc5 exiting %------------------------------------------------------------------------------