%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYN338+1 : TPTP v9.2.1. Released v2.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n023.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 09:08:36 AM UTC 2026 % Result : Theorem 0.39s 0.56s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYN338+1 : TPTP v9.2.1. Released v2.0.0. % 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n023.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 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 23:24:43 EDT 2026 % 0.17/0.35 % CPUTime : % 0.28/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.39/0.56 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.39/0.56 % SZS status Theorem % 0.39/0.56 % SZS output start Proof % 0.39/0.56 ( % 0.39/0.56 (declare-sort $$unsorted 0) % 0.39/0.56 (declare-const tptp.big_f (-> $$unsorted $$unsorted Bool)) % 0.39/0.56 (define @t1 () (@var "Y" $$unsorted)) % 0.39/0.56 (define @t2 () (tptp.big_f @t1 @t1)) % 0.39/0.56 (define @t3 () (@var "X" $$unsorted)) % 0.39/0.56 (define @t4 () (@var "Z" $$unsorted)) % 0.39/0.56 (define @t5 () (tptp.big_f @t4 @t3)) % 0.39/0.56 (define @t6 () (=> @t5 @t2)) % 0.39/0.56 (define @t7 () (tptp.big_f @t3 @t1)) % 0.39/0.56 (define @t8 () (=> @t7 @t6)) % 0.39/0.56 (define @t9 () (@list @t4)) % 0.39/0.56 (define @t10 () (exists @t9 @t8)) % 0.39/0.56 (define @t11 () (@list @t1)) % 0.39/0.56 (define @t12 () (forall @t11 @t10)) % 0.39/0.56 (define @t13 () (@list @t3)) % 0.39/0.56 (define @t14 () (exists @t13 @t12)) % 0.39/0.56 (define @t15 () (not @t14)) % 0.39/0.56 (define @t16 () (@var "BOUND_VARIABLE_7462" $$unsorted)) % 0.39/0.56 (define @t17 () (forall (@list @t16) (not (forall @t11 (or (not (tptp.big_f @t16 @t1)) @t2))))) % 0.39/0.56 (define @t18 () (@var "BOUND_VARIABLE_7456" $$unsorted)) % 0.39/0.56 (define @t19 () (@var "BOUND_VARIABLE_7432" $$unsorted)) % 0.39/0.56 (define @t20 () (tptp.big_f @t19 @t18)) % 0.39/0.56 (define @t21 () (forall (@list @t18 @t19) @t20)) % 0.39/0.56 (define @t22 () (@list @t19)) % 0.39/0.56 (define @t23 () (forall (@list @t18) (forall @t22 @t20))) % 0.39/0.56 (define @t24 () (not @t7)) % 0.39/0.56 (define @t25 () (or @t24 @t2)) % 0.39/0.56 (define @t26 () (forall @t11 @t25)) % 0.39/0.56 (define @t27 () (not @t26)) % 0.39/0.56 (define @t28 () (forall @t13 @t27)) % 0.39/0.56 (define @t29 () (@list @t3)) % 0.39/0.56 (define @t30 () (forall @t22 (tptp.big_f @t19 @t3))) % 0.39/0.56 (define @t31 () (forall @t13 @t30)) % 0.39/0.56 (define @t32 () (and @t31 @t28)) % 0.39/0.56 (define @t33 () (not @t30)) % 0.39/0.56 (define @t34 () (or @t33 @t26)) % 0.39/0.56 (define @t35 () (forall @t13 (not @t34))) % 0.39/0.56 (define @t36 () (not @t35)) % 0.39/0.56 (define @t37 () (or @t33 @t25)) % 0.39/0.56 (define @t38 () (or @t24 @t33 @t2)) % 0.39/0.56 (define @t39 () (not @t2)) % 0.39/0.56 (define @t40 () (not @t39)) % 0.39/0.56 (define @t41 () (or @t24 @t33 @t40)) % 0.39/0.56 (define @t42 () (forall @t9 @t39)) % 0.39/0.56 (define @t43 () (forall @t9 @t5)) % 0.39/0.56 (define @t44 () (forall @t9 @t7)) % 0.39/0.56 (define @t45 () (and @t44 @t43 @t42)) % 0.39/0.56 (define @t46 () (and @t7 @t5 @t39)) % 0.39/0.56 (define @t47 () (forall @t9 (not @t8))) % 0.39/0.56 (define @t48 () (not @t47)) % 0.39/0.56 (define @t49 () (@const 0 $$unsorted)) % 0.39/0.56 (define @t50 () (@quantifiers_skolemize (forall @t11 (or (not (tptp.big_f @t49 @t1)) @t2)) 0)) % 0.39/0.56 (define @t51 () (tptp.big_f @t50 @t50)) % 0.39/0.56 (define @t52 () (or (not (tptp.big_f @t49 @t50)) @t51)) % 0.39/0.56 (assume @p1 @t15) % 0.39/0.56 (assume @p2 true) % 0.39/0.56 (step @p3 :rule bool-double-not-elim :args ((and @t21 @t17))) % 0.39/0.56 (step @p4 :rule refl :args (@t17)) % 0.39/0.56 (step @p5 :rule quant-merge-prenex :args ((= @t23 @t21))) % 0.39/0.56 (step @p6 :rule nary_cong :premises (@p5 @p4) :args ((and @t23 @t17))) % 0.39/0.56 (step @p7 :rule alpha_equiv :args (@t28 @t29 (@list @t16))) % 0.39/0.56 (step @p8 :rule alpha_equiv :args (@t31 @t29 (@list @t18))) % 0.39/0.56 (step @p9 :rule nary_cong :premises (@p8 @p7) :args (@t32)) % 0.39/0.56 (step @p10 :rule quant-miniscope-and :args ((= (forall @t13 (and @t30 @t27)) @t32))) % 0.39/0.56 (step @p11 :rule trans :premises (@p10 @p9)) % 0.39/0.56 (step @p12 :rule trans :premises (@p11 @p6)) % 0.39/0.56 (step @p13 :rule refl :args (@t27)) % 0.39/0.56 (step @p14 :rule bool-double-not-elim :args (@t30)) % 0.39/0.56 (step @p15 :rule nary_cong :premises (@p14 @p13) :args ((and (not @t33) @t27))) % 0.39/0.56 (step @p16 :rule bool-or-de-morgan :args (@t33 @t26 false)) % 0.39/0.56 (step @p17 :rule trans :premises (@p16 @p15)) % 0.39/0.56 (step @p18 :rule cong :premises (@p17) :args (@t35)) % 0.39/0.56 (step @p19 :rule trans :premises (@p18 @p12)) % 0.39/0.56 (step @p20 :rule cong :premises (@p19) :args (@t36)) % 0.39/0.56 (step @p21 :rule exists-elim :args ((= (exists @t13 @t34) @t36))) % 0.39/0.56 (step @p22 :rule trans :premises (@p21 @p20)) % 0.39/0.56 (step @p23 :rule quant-miniscope-or :args ((= (forall @t11 @t37) @t34))) % 0.39/0.56 (step @p24 :rule aci_norm :args ((= @t38 @t37))) % 0.39/0.56 (step @p25 :rule cong :premises (@p24) :args ((forall @t11 @t38))) % 0.39/0.56 (step @p26 :rule trans :premises (@p25 @p23)) % 0.39/0.56 (step @p27 :rule bool-double-not-elim :args (@t2)) % 0.39/0.56 (step @p28 :rule refl :args (@t33)) % 0.39/0.56 (step @p29 :rule refl :args (@t24)) % 0.39/0.56 (step @p30 :rule nary_cong :premises (@p29 @p28 @p27) :args (@t41)) % 0.39/0.56 (step @p31 :rule aci_norm :args ((= (or @t24 (or @t33 @t40)) @t41))) % 0.39/0.56 (step @p32 :rule trans :premises (@p31 @p30)) % 0.39/0.56 (step @p33 :rule bool-and-de-morgan :args (@t30 @t39 true)) % 0.39/0.56 (step @p34 :rule nary_cong :premises (@p29 @p33) :args ((or @t24 (not (and @t30 @t39))))) % 0.39/0.56 (step @p35 :rule bool-and-de-morgan :args (@t7 @t30 (and @t39))) % 0.39/0.56 (step @p36 :rule trans :premises (@p35 @p34)) % 0.39/0.56 (step @p37 :rule trans :premises (@p36 @p32)) % 0.39/0.56 (step @p38 :rule cong :premises (@p37) :args ((forall @t11 (not (and @t7 @t30 @t39))))) % 0.39/0.56 (step @p39 :rule trans :premises (@p38 @p26)) % 0.39/0.56 (step @p40 :rule quant-unused-vars :args ((= @t42 @t39))) % 0.39/0.56 (step @p41 :rule alpha_equiv :args (@t43 (@list @t4) (@list @t19))) % 0.39/0.56 (step @p42 :rule quant-unused-vars :args ((= @t44 @t7))) % 0.39/0.56 (step @p43 :rule nary_cong :premises (@p42 @p41 @p40) :args (@t45)) % 0.39/0.56 (step @p44 :rule quant-miniscope-and :args ((= (forall @t9 @t46) @t45))) % 0.39/0.56 (step @p45 :rule trans :premises (@p44 @p43)) % 0.39/0.56 (step @p46 :rule aci_norm :args ((= (and @t7 (and @t5 @t39)) @t46))) % 0.39/0.56 (step @p47 :rule bool-implies-de-morgan :args (@t5 @t2)) % 0.39/0.56 (step @p48 :rule refl :args (@t7)) % 0.39/0.56 (step @p49 :rule nary_cong :premises (@p48 @p47) :args ((and @t7 (not @t6)))) % 0.39/0.56 (step @p50 :rule trans :premises (@p49 @p46)) % 0.39/0.56 (step @p51 :rule bool-implies-de-morgan :args (@t7 @t6)) % 0.39/0.56 (step @p52 :rule trans :premises (@p51 @p50)) % 0.39/0.56 (step @p53 :rule cong :premises (@p52) :args (@t47)) % 0.39/0.56 (step @p54 :rule trans :premises (@p53 @p45)) % 0.39/0.56 (step @p55 :rule cong :premises (@p54) :args (@t48)) % 0.39/0.56 (step @p56 :rule exists-elim :args ((= @t10 @t48))) % 0.39/0.56 (step @p57 :rule trans :premises (@p56 @p55)) % 0.39/0.56 (step @p58 :rule cong :premises (@p57) :args (@t12)) % 0.39/0.56 (step @p59 :rule trans :premises (@p58 @p39)) % 0.39/0.56 (step @p60 :rule cong :premises (@p59) :args (@t14)) % 0.39/0.56 (step @p61 :rule trans :premises (@p60 @p22)) % 0.39/0.56 (step @p62 :rule cong :premises (@p61) :args (@t15)) % 0.39/0.56 (step @p63 :rule trans :premises (@p62 @p3)) % 0.39/0.56 (step @p64 :rule eq_resolve :premises (@p1 @p63)) % 0.39/0.56 (step @p65 :rule and_elim :premises (@p64) :args (0)) % 0.39/0.56 (step @p66 :rule and_elim :premises (@p64) :args (1)) % 0.39/0.56 (step @p67 :rule instantiate :premises (@p66) :args ((@list @t49))) % 0.39/0.56 (step @p68 :rule skolemize :premises (@p67)) % 0.39/0.56 (step @p69 :rule cnf_or_neg :args (@t52 1)) % 0.39/0.56 (step @p70 :rule chain_m_resolution :premises (@p69 @p68) :args ((not @t51) (@list true) (@list @t52))) % 0.39/0.56 (assume-push @p77 @t21) % 0.39/0.56 (step @p72 :rule instantiate :premises (@p65) :args ((@list @t50 @t50))) % 0.39/0.56 (step-pop @p78 :rule scope :premises (@p72)) % 0.39/0.56 (step @p73 :rule process_scope :premises (@p78) :args (@t51)) % 0.39/0.56 (step @p75 :rule implies_elim :premises (@p73)) % 0.39/0.56 (step @p76 false :rule chain_m_resolution :premises (@p75 @p70 @p65) :args (false (@list true false) (@list @t51 @t21))) % 0.39/0.56 ) % 0.39/0.56 % SZS output end Proof % 0.39/0.56 % cvc5 exiting %------------------------------------------------------------------------------