%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO291^5 : 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 : n025.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 0.37s 0.59s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYO291^5 : 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 : n025.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 % 0.16/0.34 % DateTime : Wed Jun 3 00:02:46 EDT 2026 % 0.16/0.35 % CPUTime : % 0.31/0.50 %----Proving TH0 % 0.37/0.59 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.37/0.59 % SZS status Theorem % 0.37/0.59 % SZS output start Proof % 0.37/0.59 ( % 0.37/0.59 (declare-sort $$unsorted 0) % 0.37/0.59 (declare-const tptp.cR (-> $$unsorted Bool)) % 0.37/0.59 (declare-const tptp.f (-> $$unsorted $$unsorted)) % 0.37/0.59 (declare-const tptp.x $$unsorted) % 0.37/0.59 (declare-const tptp.cQ (-> $$unsorted Bool)) % 0.37/0.59 (declare-const tptp.y $$unsorted) % 0.37/0.59 (define @t1 () (_ tptp.cQ tptp.y)) % 0.37/0.59 (define @t2 () (_ tptp.f tptp.x)) % 0.37/0.59 (define @t3 () (_ tptp.cR @t2)) % 0.37/0.59 (define @t4 () (_ tptp.cR tptp.x)) % 0.37/0.59 (define @t5 () (and @t4 @t3 @t1)) % 0.37/0.59 (define @t6 () (@var "Xp" (-> $$unsorted Bool))) % 0.37/0.59 (define @t7 () (_ @t6 tptp.y)) % 0.37/0.59 (define @t8 () (@list @t6)) % 0.37/0.59 (define @t9 () (forall @t8 @t7)) % 0.37/0.59 (define @t10 () (=> @t9 @t5)) % 0.37/0.59 (define @t11 () (not @t10)) % 0.37/0.59 (define @t12 () (tptp.cQ tptp.y)) % 0.37/0.59 (define @t13 () (tptp.f tptp.x)) % 0.37/0.59 (define @t14 () (tptp.cR @t13)) % 0.37/0.59 (define @t15 () (tptp.cR tptp.x)) % 0.37/0.59 (define @t16 () (_ @t6 tptp.y)) % 0.37/0.59 (define @t17 () (forall @t8 @t16)) % 0.37/0.59 (define @t18 () (=> @t17 @t5)) % 0.37/0.59 (define @t19 () (lambda (@list (@var "BOUND_VARIABLE_14510" $$unsorted)) false)) % 0.37/0.59 (define @t20 () (_ @t19 tptp.y)) % 0.37/0.59 (assume @p1 @t11) % 0.37/0.59 (assume @p2 true) % 0.37/0.59 (step @p3 :rule refl :args (@t12)) % 0.37/0.59 (step @p4 :rule refl :args (@t1)) % 0.37/0.59 (step @p5 :rule cong :premises (@p4 @p3) :args ((= @t1 @t12))) % 0.37/0.59 (step @p6 :rule symm :premises (@p5)) % 0.37/0.59 (step @p7 :rule eq_resolve :premises (@p4 @p6)) % 0.37/0.59 (step @p8 :rule refl :args ((tptp.cR @t2))) % 0.37/0.59 (step @p9 :rule refl :args (@t13)) % 0.37/0.59 (step @p10 :rule cong :premises (@p9) :args (@t14)) % 0.37/0.59 (step @p11 :rule trans :premises (@p10 @p8)) % 0.37/0.59 (step @p12 :rule refl :args (tptp.cR)) % 0.37/0.59 (step @p13 :rule ho_cong :premises (@p12 @p9)) % 0.37/0.59 (step @p14 :rule cong :premises (@p13 @p11) :args ((= (_ tptp.cR @t13) @t14))) % 0.37/0.59 (step @p15 :rule symm :premises (@p14)) % 0.37/0.59 (step @p16 :rule refl :args (@t3)) % 0.37/0.59 (step @p17 :rule eq_resolve :premises (@p16 @p15)) % 0.37/0.59 (step @p18 :rule refl :args (@t2)) % 0.37/0.59 (step @p19 :rule cong :premises (@p18 @p9) :args ((= @t2 @t13))) % 0.37/0.59 (step @p20 :rule symm :premises (@p19)) % 0.37/0.59 (step @p21 :rule eq_resolve :premises (@p18 @p20)) % 0.37/0.59 (step @p22 :rule refl :args (tptp.cR)) % 0.37/0.59 (step @p23 :rule ho_cong :premises (@p22 @p21)) % 0.37/0.59 (step @p24 :rule trans :premises (@p23 @p17)) % 0.37/0.59 (step @p25 :rule refl :args (@t15)) % 0.37/0.59 (step @p26 :rule refl :args (@t4)) % 0.37/0.59 (step @p27 :rule cong :premises (@p26 @p25) :args ((= @t4 @t15))) % 0.37/0.59 (step @p28 :rule symm :premises (@p27)) % 0.37/0.59 (step @p29 :rule eq_resolve :premises (@p26 @p28)) % 0.37/0.59 (step @p30 :rule nary_cong :premises (@p29 @p24 @p7) :args (@t5)) % 0.37/0.59 (step @p31 :rule refl :args (@t17)) % 0.37/0.59 (step @p32 :rule cong :premises (@p31 @p30) :args (@t18)) % 0.37/0.59 (step @p33 :rule cong :premises (@p32) :args ((not @t18))) % 0.37/0.59 (step @p34 :rule refl :args (@t5)) % 0.37/0.59 (step @p35 :rule refl :args (@t16)) % 0.37/0.59 (step @p36 :rule refl :args (@t7)) % 0.37/0.59 (step @p37 :rule cong :premises (@p36 @p35) :args ((= @t7 @t16))) % 0.37/0.59 (step @p38 :rule symm :premises (@p37)) % 0.37/0.59 (step @p39 :rule eq_resolve :premises (@p36 @p38)) % 0.37/0.59 (step @p40 :rule cong :premises (@p39) :args (@t9)) % 0.37/0.59 (step @p41 :rule cong :premises (@p40 @p34) :args (@t10)) % 0.37/0.59 (step @p42 :rule cong :premises (@p41) :args (@t11)) % 0.37/0.59 (step @p43 :rule trans :premises (@p42 @p33)) % 0.37/0.59 (step @p44 :rule eq_resolve :premises (@p1 @p43)) % 0.37/0.59 (step @p45 :rule not_implies_elim1 :premises (@p44)) % 0.37/0.59 (step @p46 :rule bool-impl-false1 :args (@t17)) % 0.37/0.59 (step @p47 :rule beta-reduce :args ((= @t20 false))) % 0.37/0.59 (step @p48 :rule cong :premises (@p31 @p47) :args ((=> @t17 @t20))) % 0.37/0.59 (step @p49 :rule trans :premises (@p48 @p46)) % 0.37/0.59 (assume-push @p56 @t17) % 0.37/0.59 (step @p51 :rule instantiate :premises (@p45) :args ((@list @t19))) % 0.37/0.59 (step-pop @p57 :rule scope :premises (@p51)) % 0.37/0.59 (step @p52 :rule process_scope :premises (@p57) :args (@t20)) % 0.37/0.59 (step @p54 :rule eq_resolve :premises (@p52 @p49)) % 0.37/0.59 (step @p55 false :rule chain_m_resolution :premises (@p54 @p45) :args (false (@list false) (@list @t17))) % 0.37/0.59 ) % 0.37/0.59 % SZS output end Proof % 0.37/0.59 % cvc5 exiting %------------------------------------------------------------------------------