%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYN379+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 : n002.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 09:08:44 AM UTC 2026 % Result : Theorem 0.34s 0.56s % Output : Proof 0.34s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.13/0.13 % Problem : SYN379+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 : n002.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 23:25:48 EDT 2026 % 0.18/0.35 % CPUTime : % 0.34/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.34/0.56 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.34/0.56 % SZS status Theorem % 0.34/0.56 % SZS output start Proof % 0.34/0.56 ( % 0.34/0.56 (declare-sort $$unsorted 0) % 0.34/0.56 (declare-const tptp.big_p (-> $$unsorted Bool)) % 0.34/0.56 (declare-const tptp.big_q (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.34/0.56 (define @t1 () (@var "Z" $$unsorted)) % 0.34/0.56 (define @t2 () (@var "Y" $$unsorted)) % 0.34/0.56 (define @t3 () (not (tptp.big_q @t2 @t2 @t1))) % 0.34/0.56 (define @t4 () (tptp.big_p @t1)) % 0.34/0.56 (define @t5 () (@list @t1)) % 0.34/0.56 (define @t6 () (forall @t5 (and @t4 @t3))) % 0.34/0.56 (define @t7 () (not @t6)) % 0.34/0.56 (define @t8 () (@var "X" $$unsorted)) % 0.34/0.56 (define @t9 () (@list @t8 @t1)) % 0.34/0.56 (define @t10 () (forall @t9 (tptp.big_q @t8 @t2 @t1))) % 0.34/0.56 (define @t11 () (=> @t10 @t7)) % 0.34/0.56 (define @t12 () (@list @t2)) % 0.34/0.56 (define @t13 () (exists @t12 @t11)) % 0.34/0.56 (define @t14 () (forall (@list @t8) (tptp.big_p @t8))) % 0.34/0.56 (define @t15 () (=> @t14 @t13)) % 0.34/0.56 (define @t16 () (not @t15)) % 0.34/0.56 (define @t17 () (@var "BOUND_VARIABLE_7437" $$unsorted)) % 0.34/0.56 (define @t18 () (@var "BOUND_VARIABLE_7458" $$unsorted)) % 0.34/0.56 (define @t19 () (not (tptp.big_q @t18 @t18 @t17))) % 0.34/0.56 (define @t20 () (forall (@list @t18 @t17) @t19)) % 0.34/0.56 (define @t21 () (@list @t17)) % 0.34/0.56 (define @t22 () (forall (@list @t18) (forall @t21 @t19))) % 0.34/0.56 (define @t23 () (@var "BOUND_VARIABLE_7432" $$unsorted)) % 0.34/0.56 (define @t24 () (forall (@list @t23) (tptp.big_p @t23))) % 0.34/0.56 (define @t25 () (@var "BOUND_VARIABLE_7452" $$unsorted)) % 0.34/0.56 (define @t26 () (tptp.big_q @t8 @t25 @t1)) % 0.34/0.56 (define @t27 () (forall (@list @t25) (forall @t9 @t26))) % 0.34/0.56 (define @t28 () (forall @t21 (not (tptp.big_q @t2 @t2 @t17)))) % 0.34/0.56 (define @t29 () (forall @t12 @t28)) % 0.34/0.56 (define @t30 () (@list @t2)) % 0.34/0.56 (define @t31 () (forall @t12 @t24)) % 0.34/0.56 (define @t32 () (forall @t12 @t10)) % 0.34/0.56 (define @t33 () (and @t32 @t31 @t29)) % 0.34/0.56 (define @t34 () (and @t10 @t24 @t28)) % 0.34/0.56 (define @t35 () (and @t24 @t28)) % 0.34/0.56 (define @t36 () (not @t35)) % 0.34/0.56 (define @t37 () (=> @t10 @t36)) % 0.34/0.56 (define @t38 () (forall @t12 (not @t37))) % 0.34/0.56 (define @t39 () (not @t38)) % 0.34/0.56 (define @t40 () (forall @t5 @t3)) % 0.34/0.56 (define @t41 () (@list @t1)) % 0.34/0.56 (define @t42 () (forall @t5 @t4)) % 0.34/0.56 (define @t43 () (and @t42 @t40)) % 0.34/0.56 (define @t44 () (@const 0 $$unsorted)) % 0.34/0.56 (define @t45 () (tptp.big_q @t44 @t44 @t44)) % 0.34/0.56 (assume @p1 @t16) % 0.34/0.56 (assume @p2 true) % 0.34/0.56 (step @p3 :rule quant-merge-prenex :args ((= @t22 @t20))) % 0.34/0.56 (step @p4 :rule refl :args (@t24)) % 0.34/0.56 (step @p5 :rule quant-merge-prenex :args ((= @t27 (forall (@list @t25 @t8 @t1) @t26)))) % 0.34/0.56 (step @p6 :rule nary_cong :premises (@p5 @p4 @p3) :args ((and @t27 @t24 @t22))) % 0.34/0.56 (step @p7 :rule alpha_equiv :args (@t29 @t30 (@list @t18))) % 0.34/0.56 (step @p8 :rule quant-unused-vars :args ((= @t31 @t24))) % 0.34/0.56 (step @p9 :rule alpha_equiv :args (@t32 @t30 (@list @t25))) % 0.34/0.56 (step @p10 :rule nary_cong :premises (@p9 @p8 @p7) :args (@t33)) % 0.34/0.56 (step @p11 :rule quant-miniscope-and :args ((= (forall @t12 @t34) @t33))) % 0.34/0.56 (step @p12 :rule trans :premises (@p11 @p10)) % 0.34/0.56 (step @p13 :rule trans :premises (@p12 @p6)) % 0.34/0.56 (step @p14 :rule aci_norm :args ((= (and @t10 @t35) @t34))) % 0.34/0.56 (step @p15 :rule bool-double-not-elim :args (@t35)) % 0.34/0.56 (step @p16 :rule refl :args (@t10)) % 0.34/0.56 (step @p17 :rule nary_cong :premises (@p16 @p15) :args ((and @t10 (not @t36)))) % 0.34/0.56 (step @p18 :rule bool-implies-de-morgan :args (@t10 @t36)) % 0.34/0.57 (step @p19 :rule trans :premises (@p18 @p17)) % 0.34/0.57 (step @p20 :rule trans :premises (@p19 @p14)) % 0.34/0.57 (step @p21 :rule cong :premises (@p20) :args (@t38)) % 0.34/0.57 (step @p22 :rule trans :premises (@p21 @p13)) % 0.34/0.57 (step @p23 :rule cong :premises (@p22) :args (@t39)) % 0.34/0.57 (step @p24 :rule exists-elim :args ((= (exists @t12 @t37) @t39))) % 0.34/0.57 (step @p25 :rule trans :premises (@p24 @p23)) % 0.34/0.57 (step @p26 :rule alpha_equiv :args (@t40 @t41 (@list @t17))) % 0.34/0.57 (step @p27 :rule alpha_equiv :args (@t42 @t41 (@list @t23))) % 0.34/0.57 (step @p28 :rule nary_cong :premises (@p27 @p26) :args (@t43)) % 0.34/0.57 (step @p29 :rule quant-miniscope-and :args ((= @t6 @t43))) % 0.34/0.57 (step @p30 :rule trans :premises (@p29 @p28)) % 0.34/0.57 (step @p31 :rule cong :premises (@p30) :args (@t7)) % 0.34/0.57 (step @p32 :rule refl :args (@t10)) % 0.34/0.57 (step @p33 :rule cong :premises (@p32 @p31) :args (@t11)) % 0.34/0.57 (step @p34 :rule cong :premises (@p33) :args (@t13)) % 0.34/0.57 (step @p35 :rule trans :premises (@p34 @p25)) % 0.34/0.57 (step @p36 :rule refl :args (@t14)) % 0.34/0.57 (step @p37 :rule cong :premises (@p36 @p35) :args (@t15)) % 0.34/0.57 (step @p38 :rule cong :premises (@p37) :args (@t16)) % 0.34/0.57 (step @p39 :rule eq_resolve :premises (@p1 @p38)) % 0.34/0.57 (step @p40 :rule not_implies_elim2 :premises (@p39)) % 0.34/0.57 (step @p41 :rule not_not_elim :premises (@p40)) % 0.34/0.57 (step @p42 :rule and_elim :premises (@p41) :args (2)) % 0.34/0.57 (step @p43 :rule and_elim :premises (@p41) :args (0)) % 0.34/0.57 (step @p44 :rule instantiate :premises (@p43) :args ((@list @t44 @t44 @t44))) % 0.34/0.57 (assume-push @p51 @t20) % 0.34/0.57 (step @p46 :rule instantiate :premises (@p42) :args ((@list @t44 @t44))) % 0.34/0.57 (step-pop @p52 :rule scope :premises (@p46)) % 0.34/0.57 (step @p47 :rule process_scope :premises (@p52) :args ((not @t45))) % 0.34/0.57 (step @p49 :rule implies_elim :premises (@p47)) % 0.34/0.57 (step @p50 false :rule chain_m_resolution :premises (@p49 @p44 @p42) :args (false (@list false false) (@list @t45 @t20))) % 0.34/0.57 ) % 0.34/0.57 % SZS output end Proof % 0.34/0.57 % cvc5 exiting %------------------------------------------------------------------------------