%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYN384+1 : TPTP v9.2.1. Released v2.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n012.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 09:08:45 AM UTC 2026 % Result : Theorem 0.16s 0.36s % Output : Proof 0.16s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : SYN384+1 : TPTP v9.2.1. Released v2.0.0. % 0.00/0.07 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.08/0.25 % Computer : n012.cluster.edu % 0.08/0.25 % Model : x86_64 x86_64 % 0.08/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.25 % Memory : 8042.1875MB % 0.08/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.08/0.25 % CPULimit : 300 % 0.08/0.25 % WCLimit : 300 % 0.08/0.25 % DateTime : Tue Jun 2 23:25:33 EDT 2026 % 0.08/0.25 % CPUTime : % 0.16/0.33 %----Proving TF0_NAR, FOF, or CNF % 0.16/0.36 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.16/0.36 % SZS status Theorem % 0.16/0.36 % SZS output start Proof % 0.16/0.36 ( % 0.16/0.36 (declare-sort $$unsorted 0) % 0.16/0.36 (declare-const tptp.big_p (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.16/0.36 (define @t1 () (@var "X" $$unsorted)) % 0.16/0.36 (define @t2 () (@var "U" $$unsorted)) % 0.16/0.36 (define @t3 () (tptp.big_p @t2 @t1 @t1)) % 0.16/0.36 (define @t4 () (@var "Z" $$unsorted)) % 0.16/0.36 (define @t5 () (@var "Y" $$unsorted)) % 0.16/0.36 (define @t6 () (tptp.big_p @t1 @t5 @t4)) % 0.16/0.36 (define @t7 () (@list @t2)) % 0.16/0.36 (define @t8 () (forall @t7 (=> @t6 @t3))) % 0.16/0.36 (define @t9 () (@list @t1 @t5)) % 0.16/0.36 (define @t10 () (exists @t9 @t8)) % 0.16/0.36 (define @t11 () (@list @t4)) % 0.16/0.36 (define @t12 () (forall @t11 @t10)) % 0.16/0.36 (define @t13 () (not @t12)) % 0.16/0.36 (define @t14 () (@var "BOUND_VARIABLE_7437" $$unsorted)) % 0.16/0.36 (define @t15 () (@var "BOUND_VARIABLE_7435" $$unsorted)) % 0.16/0.36 (define @t16 () (@list @t15 @t14)) % 0.16/0.36 (define @t17 () (forall @t16 (tptp.big_p @t15 @t14 @t4))) % 0.16/0.36 (define @t18 () (not @t17)) % 0.16/0.36 (define @t19 () (forall @t11 @t18)) % 0.16/0.36 (define @t20 () (@var "BOUND_VARIABLE_7442" $$unsorted)) % 0.16/0.36 (define @t21 () (not (forall @t7 (tptp.big_p @t2 @t20 @t20)))) % 0.16/0.36 (define @t22 () (forall (@list @t20) @t21)) % 0.16/0.36 (define @t23 () (not @t22)) % 0.16/0.36 (define @t24 () (or @t23 @t18)) % 0.16/0.36 (define @t25 () (or @t18 @t23)) % 0.16/0.36 (define @t26 () (@var "BOUND_VARIABLE_7444" $$unsorted)) % 0.16/0.36 (define @t27 () (forall (@list @t20 @t26) @t21)) % 0.16/0.36 (define @t28 () (forall @t7 @t3)) % 0.16/0.36 (define @t29 () (not @t28)) % 0.16/0.36 (define @t30 () (forall @t9 @t29)) % 0.16/0.36 (define @t31 () (@list @t1 @t5)) % 0.16/0.36 (define @t32 () (forall @t9 @t6)) % 0.16/0.36 (define @t33 () (and @t32 @t30)) % 0.16/0.36 (define @t34 () (not @t6)) % 0.16/0.36 (define @t35 () (or @t34 @t28)) % 0.16/0.36 (define @t36 () (forall @t9 (not @t35))) % 0.16/0.36 (define @t37 () (not @t36)) % 0.16/0.36 (define @t38 () (@quantifiers_skolemize @t19 0)) % 0.16/0.36 (define @t39 () (forall @t16 (tptp.big_p @t15 @t14 @t38))) % 0.16/0.36 (define @t40 () (not @t19)) % 0.16/0.36 (define @t41 () (not (not @t39))) % 0.16/0.36 (define @t42 () (@quantifiers_skolemize (forall @t7 (tptp.big_p @t2 @t38 @t38)) 0)) % 0.16/0.36 (define @t43 () (tptp.big_p @t42 @t38 @t38)) % 0.16/0.36 (assume @p1 @t13) % 0.16/0.36 (assume @p2 true) % 0.16/0.36 (step @p3 :rule quant-miniscope-or :args ((= (forall @t11 @t24) (or @t23 @t19)))) % 0.16/0.36 (step @p4 :rule aci_norm :args ((= @t25 @t24))) % 0.16/0.36 (step @p5 :rule cong :premises (@p4) :args ((forall @t11 @t25))) % 0.16/0.36 (step @p6 :rule trans :premises (@p5 @p3)) % 0.16/0.36 (step @p7 :rule bool-and-de-morgan :args (@t17 @t22 true)) % 0.16/0.36 (step @p8 :rule cong :premises (@p7) :args ((forall @t11 (not (and @t17 @t22))))) % 0.16/0.36 (step @p9 :rule trans :premises (@p8 @p6)) % 0.16/0.36 (step @p10 :rule quant-unused-vars :args ((= @t27 @t22))) % 0.16/0.36 (step @p11 :rule refl :args (@t17)) % 0.16/0.36 (step @p12 :rule nary_cong :premises (@p11 @p10) :args ((and @t17 @t27))) % 0.16/0.36 (step @p13 :rule alpha_equiv :args (@t30 @t31 (@list @t20 @t26))) % 0.16/0.36 (step @p14 :rule alpha_equiv :args (@t32 @t31 (@list @t15 @t14))) % 0.16/0.36 (step @p15 :rule nary_cong :premises (@p14 @p13) :args (@t33)) % 0.16/0.36 (step @p16 :rule quant-miniscope-and :args ((= (forall @t9 (and @t6 @t29)) @t33))) % 0.16/0.36 (step @p17 :rule trans :premises (@p16 @p15)) % 0.16/0.36 (step @p18 :rule trans :premises (@p17 @p12)) % 0.16/0.36 (step @p19 :rule refl :args (@t29)) % 0.16/0.36 (step @p20 :rule bool-double-not-elim :args (@t6)) % 0.16/0.36 (step @p21 :rule nary_cong :premises (@p20 @p19) :args ((and (not @t34) @t29))) % 0.16/0.36 (step @p22 :rule bool-or-de-morgan :args (@t34 @t28 false)) % 0.16/0.36 (step @p23 :rule trans :premises (@p22 @p21)) % 0.16/0.36 (step @p24 :rule cong :premises (@p23) :args (@t36)) % 0.16/0.36 (step @p25 :rule trans :premises (@p24 @p18)) % 0.16/0.36 (step @p26 :rule cong :premises (@p25) :args (@t37)) % 0.16/0.36 (step @p27 :rule exists-elim :args ((= (exists @t9 @t35) @t37))) % 0.16/0.36 (step @p28 :rule trans :premises (@p27 @p26)) % 0.16/0.36 (step @p29 :rule quant-miniscope-or :args ((= (forall @t7 (or @t34 @t3)) @t35))) % 0.16/0.36 (step @p30 :rule bool-impl-elim :args (@t6 @t3)) % 0.16/0.36 (step @p31 :rule cong :premises (@p30) :args (@t8)) % 0.16/0.36 (step @p32 :rule trans :premises (@p31 @p29)) % 0.16/0.36 (step @p33 :rule cong :premises (@p32) :args (@t10)) % 0.16/0.36 (step @p34 :rule trans :premises (@p33 @p28)) % 0.16/0.36 (step @p35 :rule cong :premises (@p34) :args (@t12)) % 0.16/0.36 (step @p36 :rule trans :premises (@p35 @p9)) % 0.16/0.36 (step @p37 :rule cong :premises (@p36) :args (@t13)) % 0.16/0.36 (step @p38 :rule eq_resolve :premises (@p1 @p37)) % 0.16/0.36 (step @p39 :rule not_or_elim :premises (@p38) :args (1)) % 0.16/0.36 (step @p40 :rule refl :args (@t39)) % 0.16/0.36 (step @p41 :rule bool-double-not-elim :args (@t19)) % 0.16/0.36 (step @p42 :rule nary_cong :premises (@p41 @p40) :args ((or (not @t40) @t39))) % 0.16/0.36 (step @p43 :rule bool-double-not-elim :args (@t39)) % 0.16/0.36 (step @p44 :rule refl :args (@t40)) % 0.16/0.36 (step @p45 :rule cong :premises (@p44 @p43) :args ((=> @t40 @t41))) % 0.16/0.36 (assume-push @p64 @t40) % 0.16/0.36 (step @p47 :rule skolemize :premises (@p39)) % 0.16/0.36 (step-pop @p65 :rule scope :premises (@p47)) % 0.16/0.36 (step @p48 :rule process_scope :premises (@p65) :args (@t41)) % 0.16/0.36 (step @p50 :rule eq_resolve :premises (@p48 @p45)) % 0.16/0.36 (step @p51 :rule implies_elim :premises (@p50)) % 0.16/0.36 (step @p52 :rule eq_resolve :premises (@p51 @p42)) % 0.16/0.36 (step @p53 :rule chain_m_resolution :premises (@p52 @p39) :args (@t39 (@list true) (@list @t19))) % 0.16/0.36 (step @p54 :rule not_or_elim :premises (@p38) :args (0)) % 0.16/0.36 (step @p55 :rule not_not_elim :premises (@p54)) % 0.16/0.36 (step @p56 :rule instantiate :premises (@p55) :args ((@list @t38))) % 0.16/0.36 (step @p57 :rule skolemize :premises (@p56)) % 0.16/0.36 (assume-push @p66 @t39) % 0.16/0.36 (step @p59 :rule instantiate :premises (@p53) :args ((@list @t42 @t38))) % 0.16/0.36 (step-pop @p67 :rule scope :premises (@p59)) % 0.16/0.36 (step @p60 :rule process_scope :premises (@p67) :args (@t43)) % 0.16/0.36 (step @p62 :rule implies_elim :premises (@p60)) % 0.16/0.36 (step @p63 false :rule chain_m_resolution :premises (@p62 @p57 @p53) :args (false (@list true false) (@list @t43 @t39))) % 0.16/0.36 ) % 0.16/0.36 % SZS output end Proof % 0.16/0.36 % cvc5 exiting %------------------------------------------------------------------------------