%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYN323+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 : n003.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 09:08:32 AM UTC 2026 % Result : Theorem 0.33s 0.56s % Output : Proof 0.33s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.13/0.13 % Problem : SYN323+1 : TPTP v9.2.1. Released v2.0.0. % 0.13/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n003.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Tue Jun 2 23:22:59 EDT 2026 % 0.18/0.35 % CPUTime : % 0.33/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.33/0.56 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.33/0.56 % SZS status Theorem % 0.33/0.56 % SZS output start Proof % 0.33/0.56 ( % 0.33/0.56 (declare-sort $$unsorted 0) % 0.33/0.56 (declare-const tptp.big_f (-> $$unsorted $$unsorted Bool)) % 0.33/0.56 (declare-const tptp.big_g (-> $$unsorted $$unsorted Bool)) % 0.33/0.56 (define @t1 () (@var "Y" $$unsorted)) % 0.33/0.56 (define @t2 () (@var "X" $$unsorted)) % 0.33/0.56 (define @t3 () (tptp.big_g @t2 @t1)) % 0.33/0.56 (define @t4 () (not @t3)) % 0.33/0.56 (define @t5 () (tptp.big_f @t1 @t2)) % 0.33/0.56 (define @t6 () (tptp.big_f @t2 @t1)) % 0.33/0.56 (define @t7 () (=> @t6 @t5)) % 0.33/0.56 (define @t8 () (@list @t2)) % 0.33/0.56 (define @t9 () (forall @t8 (=> @t7 @t4))) % 0.33/0.56 (define @t10 () (not @t9)) % 0.33/0.56 (define @t11 () (forall @t8 (=> @t7 @t3))) % 0.33/0.56 (define @t12 () (=> @t11 @t10)) % 0.33/0.56 (define @t13 () (@list @t1)) % 0.33/0.56 (define @t14 () (exists @t13 @t12)) % 0.33/0.56 (define @t15 () (not @t14)) % 0.33/0.56 (define @t16 () (@var "BOUND_VARIABLE_7453" $$unsorted)) % 0.33/0.56 (define @t17 () (or (and (tptp.big_f @t2 @t16) (not (tptp.big_f @t16 @t2))) (not (tptp.big_g @t2 @t16)))) % 0.33/0.56 (define @t18 () (forall (@list @t16 @t2) @t17)) % 0.33/0.56 (define @t19 () (@var "BOUND_VARIABLE_7442" $$unsorted)) % 0.33/0.56 (define @t20 () (or (and (tptp.big_f @t2 @t19) (not (tptp.big_f @t19 @t2))) (tptp.big_g @t2 @t19))) % 0.33/0.56 (define @t21 () (forall (@list @t19 @t2) @t20)) % 0.33/0.56 (define @t22 () (forall (@list @t16) (forall @t8 @t17))) % 0.33/0.56 (define @t23 () (forall (@list @t19) (forall @t8 @t20))) % 0.33/0.56 (define @t24 () (and @t6 (not @t5))) % 0.33/0.56 (define @t25 () (forall @t8 (or @t24 @t4))) % 0.33/0.56 (define @t26 () (forall @t13 @t25)) % 0.33/0.56 (define @t27 () (@list @t1)) % 0.33/0.56 (define @t28 () (forall @t8 (or @t24 @t3))) % 0.33/0.56 (define @t29 () (forall @t13 @t28)) % 0.33/0.56 (define @t30 () (and @t29 @t26)) % 0.33/0.56 (define @t31 () (not @t25)) % 0.33/0.56 (define @t32 () (=> @t28 @t31)) % 0.33/0.56 (define @t33 () (forall @t13 (not @t32))) % 0.33/0.56 (define @t34 () (not @t33)) % 0.33/0.56 (define @t35 () (not @t7)) % 0.33/0.56 (define @t36 () (@const 0 $$unsorted)) % 0.33/0.56 (define @t37 () (@list @t36 @t36)) % 0.33/0.56 (define @t38 () (tptp.big_g @t36 @t36)) % 0.33/0.56 (define @t39 () (tptp.big_f @t36 @t36)) % 0.33/0.56 (define @t40 () (not @t39)) % 0.33/0.56 (define @t41 () (and @t39 @t40)) % 0.33/0.56 (define @t42 () (or @t41 @t38)) % 0.33/0.56 (define @t43 () (not @t38)) % 0.33/0.56 (define @t44 () (or @t41 @t43)) % 0.33/0.56 (define @t45 () (not @t41)) % 0.33/0.56 (assume @p1 @t15) % 0.33/0.56 (assume @p2 true) % 0.33/0.56 (step @p3 :rule bool-double-not-elim :args ((and @t21 @t18))) % 0.33/0.56 (step @p4 :rule quant-merge-prenex :args ((= @t22 @t18))) % 0.33/0.56 (step @p5 :rule quant-merge-prenex :args ((= @t23 @t21))) % 0.33/0.56 (step @p6 :rule nary_cong :premises (@p5 @p4) :args ((and @t23 @t22))) % 0.33/0.56 (step @p7 :rule alpha_equiv :args (@t26 @t27 (@list @t16))) % 0.33/0.56 (step @p8 :rule alpha_equiv :args (@t29 @t27 (@list @t19))) % 0.33/0.56 (step @p9 :rule nary_cong :premises (@p8 @p7) :args (@t30)) % 0.33/0.56 (step @p10 :rule quant-miniscope-and :args ((= (forall @t13 (and @t28 @t25)) @t30))) % 0.33/0.56 (step @p11 :rule trans :premises (@p10 @p9)) % 0.33/0.56 (step @p12 :rule trans :premises (@p11 @p6)) % 0.33/0.56 (step @p13 :rule bool-double-not-elim :args (@t25)) % 0.33/0.56 (step @p14 :rule refl :args (@t28)) % 0.33/0.56 (step @p15 :rule nary_cong :premises (@p14 @p13) :args ((and @t28 (not @t31)))) % 0.33/0.56 (step @p16 :rule bool-implies-de-morgan :args (@t28 @t31)) % 0.33/0.56 (step @p17 :rule trans :premises (@p16 @p15)) % 0.33/0.56 (step @p18 :rule cong :premises (@p17) :args (@t33)) % 0.33/0.56 (step @p19 :rule trans :premises (@p18 @p12)) % 0.33/0.56 (step @p20 :rule cong :premises (@p19) :args (@t34)) % 0.33/0.56 (step @p21 :rule exists-elim :args ((= (exists @t13 @t32) @t34))) % 0.33/0.56 (step @p22 :rule trans :premises (@p21 @p20)) % 0.33/0.56 (step @p23 :rule refl :args (@t4)) % 0.33/0.56 (step @p24 :rule bool-implies-de-morgan :args (@t6 @t5)) % 0.33/0.56 (step @p25 :rule nary_cong :premises (@p24 @p23) :args ((or @t35 @t4))) % 0.33/0.56 (step @p26 :rule bool-impl-elim :args (@t7 @t4)) % 0.33/0.56 (step @p27 :rule trans :premises (@p26 @p25)) % 0.33/0.56 (step @p28 :rule cong :premises (@p27) :args (@t9)) % 0.33/0.56 (step @p29 :rule cong :premises (@p28) :args (@t10)) % 0.33/0.56 (step @p30 :rule refl :args (@t3)) % 0.33/0.56 (step @p31 :rule nary_cong :premises (@p24 @p30) :args ((or @t35 @t3))) % 0.33/0.56 (step @p32 :rule bool-impl-elim :args (@t7 @t3)) % 0.33/0.56 (step @p33 :rule trans :premises (@p32 @p31)) % 0.33/0.56 (step @p34 :rule cong :premises (@p33) :args (@t11)) % 0.33/0.56 (step @p35 :rule cong :premises (@p34 @p29) :args (@t12)) % 0.33/0.56 (step @p36 :rule cong :premises (@p35) :args (@t14)) % 0.33/0.56 (step @p37 :rule trans :premises (@p36 @p22)) % 0.33/0.56 (step @p38 :rule cong :premises (@p37) :args (@t15)) % 0.33/0.57 (step @p39 :rule trans :premises (@p38 @p3)) % 0.33/0.57 (step @p40 :rule eq_resolve :premises (@p1 @p39)) % 0.33/0.57 (step @p41 :rule and_elim :premises (@p40) :args (0)) % 0.33/0.57 (step @p42 :rule instantiate :premises (@p41) :args (@t37)) % 0.33/0.57 (step @p43 :rule cnf_or_pos :args (@t42)) % 0.33/0.57 (step @p44 :rule reordering :premises (@p43) :args ((or @t41 @t38 (not @t42)))) % 0.33/0.57 (step @p45 :rule and_elim :premises (@p40) :args (1)) % 0.33/0.57 (step @p46 :rule instantiate :premises (@p45) :args (@t37)) % 0.33/0.57 (step @p47 :rule cnf_or_pos :args (@t44)) % 0.33/0.57 (step @p48 :rule reordering :premises (@p47) :args ((or @t41 @t43 (not @t44)))) % 0.33/0.57 (step @p49 :rule chain_m_resolution :premises (@p48 @p46 @p44 @p42) :args (@t41 (@list false false false) (@list @t44 @t38 @t42))) % 0.33/0.57 (step @p50 :rule cnf_and_pos :args (@t41 0)) % 0.33/0.57 (step @p51 :rule reordering :premises (@p50) :args ((or @t39 @t45))) % 0.33/0.57 (step @p52 :rule chain_m_resolution :premises (@p51 @p49) :args (@t39 (@list false) (@list @t41))) % 0.33/0.57 (step @p53 :rule cnf_and_pos :args (@t41 1)) % 0.33/0.57 (step @p54 :rule reordering :premises (@p53) :args ((or @t40 @t45))) % 0.33/0.57 (step @p55 false :rule chain_m_resolution :premises (@p54 @p52 @p49) :args (false (@list false false) (@list @t39 @t41))) % 0.33/0.57 ) % 0.33/0.57 % SZS output end Proof % 0.33/0.57 % cvc5 exiting %------------------------------------------------------------------------------