%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO082^5 : 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 0.36s 0.62s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYO082^5 : 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 : n015.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 : Tue Jun 2 23:58:04 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.49 %----Proving TH0 % 0.36/0.62 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.36/0.62 % SZS status Theorem % 0.36/0.62 % SZS output start Proof % 0.36/0.62 ( % 0.36/0.62 (declare-sort $$unsorted 0) % 0.36/0.62 (declare-const tptp.cP (-> $$unsorted Bool)) % 0.36/0.62 (declare-const tptp.f (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.62 (define @t1 () (@var "Xx" $$unsorted)) % 0.36/0.62 (define @t2 () (@var "Xy" $$unsorted)) % 0.36/0.62 (define @t3 () (_ (_ tptp.f @t2) @t1)) % 0.36/0.62 (define @t4 () (_ tptp.cP @t3)) % 0.36/0.62 (define @t5 () (_ tptp.cP @t2)) % 0.36/0.62 (define @t6 () (@list @t1)) % 0.36/0.62 (define @t7 () (forall @t6 (=> @t5 @t4))) % 0.36/0.62 (define @t8 () (@list @t2)) % 0.36/0.62 (define @t9 () (exists @t8 @t7)) % 0.36/0.62 (define @t10 () (not @t9)) % 0.36/0.62 (define @t11 () (@var "BOUND_VARIABLE_7445" $$unsorted)) % 0.36/0.62 (define @t12 () (forall (@list @t11) (not (forall @t6 (tptp.cP (tptp.f @t11 @t1)))))) % 0.36/0.62 (define @t13 () (@var "BOUND_VARIABLE_7440" $$unsorted)) % 0.36/0.62 (define @t14 () (tptp.cP @t13)) % 0.36/0.62 (define @t15 () (@list @t13)) % 0.36/0.62 (define @t16 () (forall @t15 @t14)) % 0.36/0.62 (define @t17 () (_ tptp.cP @t13)) % 0.36/0.62 (define @t18 () (forall @t15 @t17)) % 0.36/0.62 (define @t19 () (tptp.f @t2 @t1)) % 0.36/0.62 (define @t20 () (tptp.cP @t19)) % 0.36/0.62 (define @t21 () (forall @t6 @t20)) % 0.36/0.62 (define @t22 () (not @t21)) % 0.36/0.62 (define @t23 () (forall @t8 @t22)) % 0.36/0.62 (define @t24 () (@list @t2)) % 0.36/0.62 (define @t25 () (forall @t8 @t5)) % 0.36/0.62 (define @t26 () (and @t25 @t23)) % 0.36/0.62 (define @t27 () (not @t5)) % 0.36/0.62 (define @t28 () (or @t27 @t21)) % 0.36/0.62 (define @t29 () (forall @t8 (not @t28))) % 0.36/0.62 (define @t30 () (not @t29)) % 0.36/0.62 (define @t31 () (forall @t6 @t4)) % 0.36/0.62 (define @t32 () (or @t27 @t31)) % 0.36/0.62 (define @t33 () (@const 0 $$unsorted)) % 0.36/0.62 (define @t34 () (tptp.f @t33 (@quantifiers_skolemize (forall @t6 (tptp.cP (tptp.f @t33 @t1))) 0))) % 0.36/0.62 (define @t35 () (tptp.cP @t34)) % 0.36/0.62 (assume @p1 @t10) % 0.36/0.62 (assume @p2 true) % 0.36/0.62 (step @p3 :rule bool-double-not-elim :args ((and @t16 @t12))) % 0.36/0.62 (step @p4 :rule refl :args (@t12)) % 0.36/0.62 (step @p5 :rule refl :args (@t14)) % 0.36/0.62 (step @p6 :rule refl :args (@t17)) % 0.36/0.62 (step @p7 :rule cong :premises (@p6 @p5) :args ((= @t17 @t14))) % 0.36/0.62 (step @p8 :rule symm :premises (@p7)) % 0.36/0.62 (step @p9 :rule eq_resolve :premises (@p6 @p8)) % 0.36/0.62 (step @p10 :rule cong :premises (@p9) :args (@t18)) % 0.36/0.62 (step @p11 :rule nary_cong :premises (@p10 @p4) :args ((and @t18 @t12))) % 0.36/0.62 (step @p12 :rule alpha_equiv :args (@t23 @t24 (@list @t11))) % 0.36/0.62 (step @p13 :rule alpha_equiv :args (@t25 @t24 (@list @t13))) % 0.36/0.62 (step @p14 :rule nary_cong :premises (@p13 @p12) :args (@t26)) % 0.36/0.62 (step @p15 :rule quant-miniscope-and :args ((= (forall @t8 (and @t5 @t22)) @t26))) % 0.36/0.62 (step @p16 :rule trans :premises (@p15 @p14)) % 0.36/0.62 (step @p17 :rule trans :premises (@p16 @p11)) % 0.36/0.62 (step @p18 :rule refl :args (@t22)) % 0.36/0.62 (step @p19 :rule bool-double-not-elim :args (@t5)) % 0.36/0.62 (step @p20 :rule nary_cong :premises (@p19 @p18) :args ((and (not @t27) @t22))) % 0.36/0.62 (step @p21 :rule bool-or-de-morgan :args (@t27 @t21 false)) % 0.36/0.62 (step @p22 :rule trans :premises (@p21 @p20)) % 0.36/0.62 (step @p23 :rule cong :premises (@p22) :args (@t29)) % 0.36/0.62 (step @p24 :rule trans :premises (@p23 @p17)) % 0.36/0.62 (step @p25 :rule cong :premises (@p24) :args (@t30)) % 0.36/0.62 (step @p26 :rule exists-elim :args ((= (exists @t8 @t28) @t30))) % 0.36/0.62 (step @p27 :rule trans :premises (@p26 @p25)) % 0.36/0.62 (step @p28 :rule refl :args ((tptp.cP @t3))) % 0.36/0.62 (step @p29 :rule refl :args (@t19)) % 0.36/0.62 (step @p30 :rule cong :premises (@p29) :args (@t20)) % 0.36/0.62 (step @p31 :rule trans :premises (@p30 @p28)) % 0.36/0.62 (step @p32 :rule refl :args (tptp.cP)) % 0.36/0.62 (step @p33 :rule ho_cong :premises (@p32 @p29)) % 0.36/0.62 (step @p34 :rule cong :premises (@p33 @p31) :args ((= (_ tptp.cP @t19) @t20))) % 0.36/0.62 (step @p35 :rule symm :premises (@p34)) % 0.36/0.62 (step @p36 :rule refl :args (@t4)) % 0.36/0.62 (step @p37 :rule eq_resolve :premises (@p36 @p35)) % 0.36/0.62 (step @p38 :rule refl :args (@t3)) % 0.36/0.62 (step @p39 :rule cong :premises (@p38 @p29) :args ((= @t3 @t19))) % 0.36/0.62 (step @p40 :rule symm :premises (@p39)) % 0.36/0.62 (step @p41 :rule eq_resolve :premises (@p38 @p40)) % 0.36/0.62 (step @p42 :rule ho_cong :premises (@p32 @p41)) % 0.36/0.62 (step @p43 :rule trans :premises (@p42 @p37)) % 0.36/0.62 (step @p44 :rule cong :premises (@p43) :args (@t31)) % 0.36/0.62 (step @p45 :rule refl :args (@t27)) % 0.36/0.62 (step @p46 :rule nary_cong :premises (@p45 @p44) :args (@t32)) % 0.36/0.62 (step @p47 :rule quant-miniscope-or :args ((= (forall @t6 (or @t27 @t4)) @t32))) % 0.36/0.62 (step @p48 :rule trans :premises (@p47 @p46)) % 0.36/0.62 (step @p49 :rule bool-impl-elim :args (@t5 @t4)) % 0.36/0.62 (step @p50 :rule cong :premises (@p49) :args (@t7)) % 0.36/0.62 (step @p51 :rule trans :premises (@p50 @p48)) % 0.36/0.62 (step @p52 :rule cong :premises (@p51) :args (@t9)) % 0.36/0.62 (step @p53 :rule trans :premises (@p52 @p27)) % 0.36/0.62 (step @p54 :rule cong :premises (@p53) :args (@t10)) % 0.36/0.62 (step @p55 :rule trans :premises (@p54 @p3)) % 0.36/0.62 (step @p56 :rule eq_resolve :premises (@p1 @p55)) % 0.36/0.62 (step @p57 :rule and_elim :premises (@p56) :args (0)) % 0.36/0.62 (step @p58 :rule and_elim :premises (@p56) :args (1)) % 0.36/0.62 (step @p59 :rule instantiate :premises (@p58) :args ((@list @t33))) % 0.36/0.62 (step @p60 :rule skolemize :premises (@p59)) % 0.36/0.62 (assume-push @p67 @t16) % 0.36/0.62 (step @p62 :rule instantiate :premises (@p57) :args ((@list @t34))) % 0.36/0.62 (step-pop @p68 :rule scope :premises (@p62)) % 0.36/0.62 (step @p63 :rule process_scope :premises (@p68) :args (@t35)) % 0.36/0.62 (step @p65 :rule implies_elim :premises (@p63)) % 0.36/0.62 (step @p66 false :rule chain_m_resolution :premises (@p65 @p60 @p57) :args (false (@list true false) (@list @t35 @t16))) % 0.36/0.62 ) % 0.36/0.62 % SZS output end Proof % 0.36/0.62 % cvc5 exiting %------------------------------------------------------------------------------