%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYN014-2 : TPTP v9.2.1. Released v1.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n009.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 09:07:48 AM UTC 2026 % Result : Unsatisfiable 0.36s 0.59s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SYN014-2 : TPTP v9.2.1. Released v1.0.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n009.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % 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 23:17:29 EDT 2026 % 0.17/0.35 % CPUTime : % 0.27/0.52 %----Proving TF0_NAR, FOF, or CNF % 0.27/0.53 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.36/0.59 % SZS status Unsatisfiable % 0.36/0.59 % SZS output start Proof % 0.36/0.59 ( % 0.36/0.59 (declare-sort $$unsorted 0) % 0.36/0.59 (declare-const tptp.n $$unsorted) % 0.36/0.59 (declare-const tptp.g (-> $$unsorted $$unsorted)) % 0.36/0.59 (declare-const tptp.m $$unsorted) % 0.36/0.59 (declare-const tptp.k $$unsorted) % 0.36/0.59 (declare-const tptp.f (-> $$unsorted $$unsorted)) % 0.36/0.59 (declare-const tptp.a $$unsorted) % 0.36/0.59 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 0.36/0.59 (declare-const tptp.equalish (-> $$unsorted $$unsorted Bool)) % 0.36/0.59 (define @t1 () (@var "X" $$unsorted)) % 0.36/0.59 (define @t2 () (@var "Y" $$unsorted)) % 0.36/0.59 (define @t3 () (not (tptp.equalish @t1 @t2))) % 0.36/0.59 (define @t4 () (@var "Z" $$unsorted)) % 0.36/0.59 (define @t5 () (forall (@list @t1 @t2 @t4) (or @t3 (not (tptp.equalish @t2 @t4)) (tptp.equalish @t1 @t4)))) % 0.36/0.59 (define @t6 () (@var "B" $$unsorted)) % 0.36/0.59 (define @t7 () (@var "C" $$unsorted)) % 0.36/0.59 (define @t8 () (tptp.element @t7 @t6)) % 0.36/0.59 (define @t9 () (@var "A" $$unsorted)) % 0.36/0.59 (define @t10 () (tptp.equalish @t9 @t6)) % 0.36/0.59 (define @t11 () (@list @t9 @t6 @t7)) % 0.36/0.59 (define @t12 () (not (tptp.element @t9 @t6))) % 0.36/0.59 (define @t13 () (tptp.equalish @t9 tptp.a)) % 0.36/0.59 (define @t14 () (tptp.equalish @t9 tptp.k)) % 0.36/0.59 (define @t15 () (tptp.element @t9 tptp.a)) % 0.36/0.59 (define @t16 () (@list @t9)) % 0.36/0.59 (define @t17 () (tptp.equalish @t9 tptp.m)) % 0.36/0.59 (define @t18 () (not (tptp.element @t9 tptp.m))) % 0.36/0.59 (define @t19 () (tptp.f @t9)) % 0.36/0.59 (define @t20 () (not (tptp.element @t6 @t9))) % 0.36/0.59 (define @t21 () (@list @t9 @t6)) % 0.36/0.59 (define @t22 () (tptp.equalish @t9 tptp.n)) % 0.36/0.59 (define @t23 () (tptp.element @t9 tptp.n)) % 0.36/0.59 (define @t24 () (tptp.g @t9)) % 0.36/0.59 (define @t25 () (tptp.element @t9 tptp.k)) % 0.36/0.59 (define @t26 () (tptp.equalish tptp.m tptp.n)) % 0.36/0.59 (define @t27 () (tptp.equalish tptp.n tptp.k)) % 0.36/0.59 (define @t28 () (tptp.equalish tptp.m tptp.k)) % 0.36/0.59 (define @t29 () (tptp.equalish tptp.k tptp.m)) % 0.36/0.59 (define @t30 () (not @t28)) % 0.36/0.59 (define @t31 () (or @t30 @t29)) % 0.36/0.59 (define @t32 () (tptp.equalish tptp.n tptp.m)) % 0.36/0.59 (define @t33 () (not @t32)) % 0.36/0.59 (define @t34 () (or @t33 @t26)) % 0.36/0.59 (define @t35 () (@list true false)) % 0.36/0.59 (define @t36 () (not @t29)) % 0.36/0.59 (define @t37 () (not @t27)) % 0.36/0.59 (define @t38 () (or @t37 @t36 @t32)) % 0.36/0.59 (define @t39 () (not @t38)) % 0.36/0.59 (assume @p1 (forall (@list @t1) (tptp.equalish @t1 @t1))) % 0.36/0.59 (assume @p2 (forall (@list @t1 @t2) (or @t3 (tptp.equalish @t2 @t1)))) % 0.36/0.59 (assume @p3 @t5) % 0.36/0.59 (assume @p4 (forall @t11 (or (not @t10) (not (tptp.element @t7 @t9)) @t8))) % 0.36/0.59 (assume @p5 (forall @t11 (or @t12 (not (tptp.equalish @t9 @t7)) @t8))) % 0.36/0.59 (assume @p6 (forall @t16 (or (not @t15) @t14 @t13))) % 0.36/0.59 (assume @p7 (forall @t16 (or (not @t14) @t15 @t13))) % 0.36/0.59 (assume @p8 (forall @t16 (or (not (tptp.equalish @t19 tptp.m)) @t18 @t17))) % 0.36/0.59 (assume @p9 (forall @t16 (or (not (tptp.equalish @t19 @t9)) @t18 @t17))) % 0.36/0.59 (assume @p10 (forall @t16 (or (tptp.element @t9 @t19) @t18 @t17))) % 0.36/0.59 (assume @p11 (forall @t16 (or (tptp.element @t19 @t9) @t18 @t17))) % 0.36/0.59 (assume @p12 (forall @t21 (or @t12 @t20 @t10 @t17 (tptp.element @t6 tptp.m) (tptp.equalish @t6 tptp.m)))) % 0.36/0.59 (assume @p13 (forall @t16 (or (not (tptp.equalish @t24 tptp.n)) @t23 @t22))) % 0.36/0.59 (assume @p14 (forall @t16 (or (not (tptp.equalish @t24 @t9)) @t23 @t22))) % 0.36/0.59 (assume @p15 (forall @t16 (or (tptp.element @t9 @t24) @t23 @t22))) % 0.36/0.59 (assume @p16 (forall @t16 (or (tptp.element @t24 @t9) @t23 @t22))) % 0.36/0.59 (assume @p17 (forall @t21 (or @t12 @t20 @t10 @t22 (not (tptp.element @t6 tptp.n)) (tptp.equalish @t6 tptp.n)))) % 0.36/0.59 (assume @p18 (forall @t16 (or (not @t17) @t25 @t14))) % 0.36/0.59 (assume @p19 (forall @t16 (or (not @t22) @t25 @t14))) % 0.36/0.59 (assume @p20 (forall @t16 (or (not @t25) @t22 @t17 @t14))) % 0.36/0.59 (assume @p21 (not (tptp.equalish tptp.n tptp.a))) % 0.36/0.59 (assume @p22 (not @t26)) % 0.36/0.59 (assume @p23 @t27) % 0.36/0.59 (assume @p24 (not (tptp.equalish tptp.m tptp.a))) % 0.36/0.59 (assume @p25 (not (tptp.equalish tptp.k tptp.a))) % 0.36/0.59 (assume @p26 @t28) % 0.36/0.59 (step @p27 :rule instantiate :premises (@p2) :args ((@list tptp.m tptp.k))) % 0.36/0.59 (step @p28 :rule cnf_or_pos :args (@t31)) % 0.36/0.59 (step @p29 :rule reordering :premises (@p28) :args ((or @t30 @t29 (not @t31)))) % 0.36/0.59 (step @p30 :rule chain_m_resolution :premises (@p29 @p26 @p27) :args (@t29 (@list false false) (@list @t28 @t31))) % 0.36/0.59 (step @p31 :rule instantiate :premises (@p2) :args ((@list tptp.n tptp.m))) % 0.36/0.59 (step @p32 :rule cnf_or_pos :args (@t34)) % 0.36/0.59 (step @p33 :rule reordering :premises (@p32) :args ((or @t26 @t33 (not @t34)))) % 0.36/0.59 (step @p34 :rule chain_m_resolution :premises (@p33 @p22 @p31) :args (@t33 @t35 (@list @t26 @t34))) % 0.36/0.59 (step @p35 :rule cnf_or_pos :args (@t38)) % 0.36/0.59 (step @p36 :rule reordering :premises (@p35) :args ((or @t37 @t32 @t36 @t39))) % 0.36/0.59 (step @p37 :rule chain_m_resolution :premises (@p36 @p23 @p34 @p30) :args (@t39 (@list false true false) (@list @t27 @t32 @t29))) % 0.36/0.59 (assume-push @p44 @t5) % 0.36/0.59 (step @p39 :rule instantiate :premises (@p3) :args ((@list tptp.n tptp.k tptp.m))) % 0.36/0.59 (step-pop @p45 :rule scope :premises (@p39)) % 0.36/0.59 (step @p40 :rule process_scope :premises (@p45) :args (@t38)) % 0.36/0.59 (step @p42 :rule implies_elim :premises (@p40)) % 0.36/0.59 (step @p43 false :rule chain_m_resolution :premises (@p42 @p37 @p3) :args (false @t35 (@list @t38 @t5))) % 0.36/0.59 ) % 0.36/0.59 % SZS output end Proof % 0.36/0.59 % cvc5 exiting %------------------------------------------------------------------------------