%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYN383+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 : n028.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 0.29s 0.54s % Output : Proof 0.29s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYN383+1 : TPTP v9.2.1. Released v2.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n028.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 : Tue Jun 2 23:25:35 EDT 2026 % 0.15/0.34 % CPUTime : % 0.29/0.48 %----Proving TF0_NAR, FOF, or CNF % 0.29/0.54 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.29/0.54 % SZS status Theorem % 0.29/0.54 % SZS output start Proof % 0.29/0.54 ( % 0.29/0.54 (declare-sort $$unsorted 0) % 0.29/0.54 (declare-const tptp.big_q (-> $$unsorted Bool)) % 0.29/0.54 (declare-const tptp.big_p (-> $$unsorted Bool)) % 0.29/0.54 (define @t1 () (@var "Y" $$unsorted)) % 0.29/0.54 (define @t2 () (tptp.big_p @t1)) % 0.29/0.54 (define @t3 () (@var "X" $$unsorted)) % 0.29/0.54 (define @t4 () (tptp.big_q @t3)) % 0.29/0.54 (define @t5 () (or @t4 @t2)) % 0.29/0.54 (define @t6 () (tptp.big_q @t1)) % 0.29/0.54 (define @t7 () (tptp.big_p @t3)) % 0.29/0.54 (define @t8 () (and @t7 @t6)) % 0.29/0.54 (define @t9 () (@list @t1)) % 0.29/0.54 (define @t10 () (forall @t9 (=> @t8 @t5))) % 0.29/0.54 (define @t11 () (@list @t3)) % 0.29/0.54 (define @t12 () (exists @t11 @t10)) % 0.29/0.54 (define @t13 () (not @t12)) % 0.29/0.54 (define @t14 () (not @t6)) % 0.29/0.54 (define @t15 () (or @t14 @t2)) % 0.29/0.54 (define @t16 () (forall @t9 @t15)) % 0.29/0.54 (define @t17 () (not @t16)) % 0.29/0.54 (define @t18 () (@var "BOUND_VARIABLE_7446" $$unsorted)) % 0.29/0.54 (define @t19 () (@var "BOUND_VARIABLE_7441" $$unsorted)) % 0.29/0.54 (define @t20 () (forall (@list @t19) (tptp.big_p @t19))) % 0.29/0.54 (define @t21 () (forall @t11 @t17)) % 0.29/0.54 (define @t22 () (not @t4)) % 0.29/0.54 (define @t23 () (forall @t11 @t22)) % 0.29/0.54 (define @t24 () (@list @t3)) % 0.29/0.54 (define @t25 () (forall @t11 @t7)) % 0.29/0.54 (define @t26 () (and @t25 @t23 @t21)) % 0.29/0.54 (define @t27 () (not @t7)) % 0.29/0.54 (define @t28 () (not @t27)) % 0.29/0.54 (define @t29 () (and @t28 @t22 @t17)) % 0.29/0.54 (define @t30 () (or @t27 @t4 @t16)) % 0.29/0.54 (define @t31 () (forall @t11 (not @t30))) % 0.29/0.54 (define @t32 () (not @t31)) % 0.29/0.54 (define @t33 () (or @t27 @t4 @t15)) % 0.29/0.54 (define @t34 () (or @t27 @t14 @t4 @t2)) % 0.29/0.54 (define @t35 () (@quantifiers_skolemize @t16 0)) % 0.29/0.54 (define @t36 () (tptp.big_p @t35)) % 0.29/0.54 (define @t37 () (or (not (tptp.big_q @t35)) @t36)) % 0.29/0.54 (assume @p1 @t13) % 0.29/0.54 (assume @p2 true) % 0.29/0.54 (step @p3 :rule bool-double-not-elim :args ((and @t20 (forall (@list @t18) (not (tptp.big_q @t18))) @t17))) % 0.29/0.54 (step @p4 :rule quant-unused-vars :args ((= @t21 @t17))) % 0.29/0.54 (step @p5 :rule alpha_equiv :args (@t23 @t24 (@list @t18))) % 0.29/0.54 (step @p6 :rule alpha_equiv :args (@t25 @t24 (@list @t19))) % 0.29/0.54 (step @p7 :rule nary_cong :premises (@p6 @p5 @p4) :args (@t26)) % 0.29/0.54 (step @p8 :rule quant-miniscope-and :args ((= (forall @t11 (and @t7 @t22 @t17)) @t26))) % 0.29/0.54 (step @p9 :rule trans :premises (@p8 @p7)) % 0.29/0.54 (step @p10 :rule refl :args (@t17)) % 0.29/0.54 (step @p11 :rule refl :args (@t22)) % 0.29/0.54 (step @p12 :rule bool-double-not-elim :args (@t7)) % 0.29/0.54 (step @p13 :rule nary_cong :premises (@p12 @p11 @p10) :args (@t29)) % 0.29/0.54 (step @p14 :rule aci_norm :args ((= (and @t28 (and @t22 @t17)) @t29))) % 0.29/0.54 (step @p15 :rule trans :premises (@p14 @p13)) % 0.29/0.54 (step @p16 :rule bool-or-de-morgan :args (@t4 @t16 false)) % 0.29/0.54 (step @p17 :rule refl :args (@t28)) % 0.29/0.54 (step @p18 :rule nary_cong :premises (@p17 @p16) :args ((and @t28 (not (or @t4 @t16))))) % 0.29/0.54 (step @p19 :rule bool-or-de-morgan :args (@t27 @t4 (or @t16))) % 0.29/0.54 (step @p20 :rule trans :premises (@p19 @p18)) % 0.29/0.54 (step @p21 :rule trans :premises (@p20 @p15)) % 0.29/0.54 (step @p22 :rule cong :premises (@p21) :args (@t31)) % 0.29/0.54 (step @p23 :rule trans :premises (@p22 @p9)) % 0.29/0.54 (step @p24 :rule cong :premises (@p23) :args (@t32)) % 0.29/0.54 (step @p25 :rule exists-elim :args ((= (exists @t11 @t30) @t32))) % 0.29/0.54 (step @p26 :rule trans :premises (@p25 @p24)) % 0.29/0.54 (step @p27 :rule quant-miniscope-or :args ((= (forall @t9 @t33) @t30))) % 0.29/0.54 (step @p28 :rule aci_norm :args ((= @t34 @t33))) % 0.29/0.54 (step @p29 :rule cong :premises (@p28) :args ((forall @t9 @t34))) % 0.29/0.54 (step @p30 :rule trans :premises (@p29 @p27)) % 0.29/0.54 (step @p31 :rule aci_norm :args ((= (or (or @t27 @t14) @t5) @t34))) % 0.29/0.54 (step @p32 :rule refl :args (@t5)) % 0.29/0.54 (step @p33 :rule bool-and-de-morgan :args (@t7 @t6 true)) % 0.29/0.54 (step @p34 :rule nary_cong :premises (@p33 @p32) :args ((or (not @t8) @t5))) % 0.29/0.54 (step @p35 :rule trans :premises (@p34 @p31)) % 0.29/0.54 (step @p36 :rule bool-impl-elim :args (@t8 @t5)) % 0.29/0.54 (step @p37 :rule trans :premises (@p36 @p35)) % 0.29/0.54 (step @p38 :rule cong :premises (@p37) :args (@t10)) % 0.29/0.54 (step @p39 :rule trans :premises (@p38 @p30)) % 0.29/0.54 (step @p40 :rule cong :premises (@p39) :args (@t12)) % 0.29/0.54 (step @p41 :rule trans :premises (@p40 @p26)) % 0.29/0.54 (step @p42 :rule cong :premises (@p41) :args (@t13)) % 0.29/0.54 (step @p43 :rule trans :premises (@p42 @p3)) % 0.29/0.54 (step @p44 :rule eq_resolve :premises (@p1 @p43)) % 0.29/0.54 (step @p45 :rule and_elim :premises (@p44) :args (0)) % 0.29/0.54 (step @p46 :rule and_elim :premises (@p44) :args (2)) % 0.29/0.55 (step @p47 :rule skolemize :premises (@p46)) % 0.29/0.55 (step @p48 :rule cnf_or_neg :args (@t37 1)) % 0.29/0.55 (step @p49 :rule chain_m_resolution :premises (@p48 @p47) :args ((not @t36) (@list true) (@list @t37))) % 0.29/0.55 (assume-push @p56 @t20) % 0.29/0.55 (step @p51 :rule instantiate :premises (@p45) :args ((@list @t35))) % 0.29/0.55 (step-pop @p57 :rule scope :premises (@p51)) % 0.29/0.55 (step @p52 :rule process_scope :premises (@p57) :args (@t36)) % 0.29/0.55 (step @p54 :rule implies_elim :premises (@p52)) % 0.29/0.55 (step @p55 false :rule chain_m_resolution :premises (@p54 @p49 @p45) :args (false (@list true false) (@list @t36 @t20))) % 0.29/0.55 ) % 0.29/0.55 % SZS output end Proof % 0.29/0.55 % cvc5 exiting %------------------------------------------------------------------------------