%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUN134-1 : TPTP v9.2.1. Released v8.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n008.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 08:43:00 AM UTC 2026 % Result : Unsatisfiable 0.39s 0.57s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUN134-1 : TPTP v9.2.1. Released v8.1.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.34 % Computer : n008.cluster.edu % 0.18/0.34 % Model : x86_64 x86_64 % 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.34 % Memory : 8042.1875MB % 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.34 % CPULimit : 300 % 0.18/0.34 % WCLimit : 300 % 0.18/0.34 % DateTime : Tue Jun 2 12:49:03 EDT 2026 % 0.18/0.34 % CPUTime : % 0.27/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.27/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.39/0.57 % SZS status Unsatisfiable % 0.39/0.57 % SZS output start Proof % 0.39/0.57 ( % 0.39/0.57 (declare-sort $$unsorted 0) % 0.39/0.57 (declare-const tptp.a $$unsorted) % 0.39/0.57 (declare-const tptp.s (-> $$unsorted $$unsorted)) % 0.39/0.57 (declare-const tptp.one $$unsorted) % 0.39/0.57 (declare-const tptp.zero $$unsorted) % 0.39/0.57 (declare-const tptp.times (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.57 (declare-const tptp.sum (-> $$unsorted $$unsorted)) % 0.39/0.57 (declare-const |tptp.'+'| (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.57 (define @t1 () (@var "X" $$unsorted)) % 0.39/0.57 (define @t2 () (@var "Y" $$unsorted)) % 0.39/0.57 (define @t3 () (|tptp.'+'| @t1 @t2)) % 0.39/0.57 (define @t4 () (@list @t1 @t2)) % 0.39/0.57 (define @t5 () (@var "Z" $$unsorted)) % 0.39/0.57 (define @t6 () (|tptp.'+'| @t2 @t5)) % 0.39/0.57 (define @t7 () (@list @t1 @t2 @t5)) % 0.39/0.57 (define @t8 () (forall @t7 (= (|tptp.'+'| @t1 @t6) (|tptp.'+'| @t3 @t5)))) % 0.39/0.57 (define @t9 () (tptp.times @t1 @t2)) % 0.39/0.57 (define @t10 () (tptp.times @t2 @t5)) % 0.39/0.57 (define @t11 () (@list @t1)) % 0.39/0.57 (define @t12 () (tptp.times @t1 @t5)) % 0.39/0.57 (define @t13 () (tptp.s @t1)) % 0.39/0.57 (define @t14 () (@var "N" $$unsorted)) % 0.39/0.57 (define @t15 () (tptp.s @t14)) % 0.39/0.57 (define @t16 () (tptp.s tptp.a)) % 0.39/0.57 (define @t17 () (tptp.sum tptp.a)) % 0.39/0.57 (define @t18 () (|tptp.'+'| @t17 @t17)) % 0.39/0.57 (define @t19 () (tptp.s @t16)) % 0.39/0.57 (define @t20 () (tptp.sum @t16)) % 0.39/0.57 (define @t21 () (|tptp.'+'| @t16 @t18)) % 0.39/0.57 (define @t22 () (|tptp.'+'| @t21 @t16)) % 0.39/0.57 (define @t23 () (|tptp.'+'| @t16 (|tptp.'+'| @t18 @t16))) % 0.39/0.57 (define @t24 () (= @t23 @t22)) % 0.39/0.57 (assume @p1 (forall @t4 (= @t3 (|tptp.'+'| @t2 @t1)))) % 0.39/0.57 (assume @p2 @t8) % 0.39/0.57 (assume @p3 (forall @t4 (= @t9 (tptp.times @t2 @t1)))) % 0.39/0.57 (assume @p4 (forall @t7 (= (tptp.times @t1 @t10) (tptp.times @t9 @t5)))) % 0.39/0.57 (assume @p5 (forall @t11 (= (|tptp.'+'| @t1 tptp.zero) @t1))) % 0.39/0.57 (assume @p6 (forall @t11 (= (tptp.times @t1 tptp.zero) tptp.zero))) % 0.39/0.57 (assume @p7 (forall @t11 (= (tptp.times @t1 tptp.one) @t1))) % 0.39/0.57 (assume @p8 (forall @t7 (= (tptp.times @t1 @t6) (|tptp.'+'| @t9 @t12)))) % 0.39/0.57 (assume @p9 (forall @t7 (= (tptp.times @t3 @t5) (|tptp.'+'| @t12 @t10)))) % 0.39/0.57 (assume @p10 (forall @t4 (= (|tptp.'+'| @t13 @t2) (tptp.s @t3)))) % 0.39/0.57 (assume @p11 (forall @t4 (= (tptp.times @t13 @t2) (|tptp.'+'| @t2 @t9)))) % 0.39/0.57 (assume @p12 (= (tptp.sum tptp.zero) tptp.zero)) % 0.39/0.57 (assume @p13 (forall (@list @t14) (= (tptp.sum @t15) (|tptp.'+'| @t15 (tptp.sum @t14))))) % 0.39/0.57 (assume @p14 (= @t18 (tptp.times tptp.a @t16))) % 0.39/0.57 (assume @p15 (not (= (|tptp.'+'| @t20 @t20) (tptp.times @t16 @t19)))) % 0.39/0.57 (step @p16 :rule false_intro :premises (@p15)) % 0.39/0.57 (step @p17 :rule instantiate :premises (@p3) :args ((@list @t16 @t19))) % 0.39/0.57 (step @p18 :rule symm :premises (@p17)) % 0.39/0.57 (step @p19 :rule instantiate :premises (@p11) :args ((@list @t16 @t16))) % 0.39/0.57 (step @p20 :rule symm :premises (@p19)) % 0.39/0.57 (step @p21 :rule instantiate :premises (@p1) :args ((@list @t16 (tptp.times @t16 @t16)))) % 0.39/0.57 (step @p22 :rule symm :premises (@p21)) % 0.39/0.57 (step @p23 :rule refl :args (@t16)) % 0.39/0.57 (step @p24 :rule instantiate :premises (@p11) :args ((@list tptp.a @t16))) % 0.39/0.57 (step @p25 :rule symm :premises (@p24)) % 0.39/0.57 (step @p26 :rule cong :premises (@p23 @p14) :args (@t21)) % 0.39/0.57 (step @p27 :rule trans :premises (@p26 @p25)) % 0.39/0.57 (step @p28 :rule cong :premises (@p27 @p23) :args (@t22)) % 0.39/0.57 (step @p29 :rule trans :premises (@p28 @p22 @p20 @p18)) % 0.39/0.57 (step @p30 :rule refl :args (@t20)) % 0.39/0.57 (step @p31 :rule instantiate :premises (@p13) :args ((@list tptp.a))) % 0.39/0.57 (step @p32 :rule symm :premises (@p31)) % 0.39/0.57 (step @p33 :rule cong :premises (@p32 @p30) :args ((|tptp.'+'| (|tptp.'+'| @t16 @t17) @t20))) % 0.39/0.57 (step @p34 :rule instantiate :premises (@p2) :args ((@list @t16 @t17 @t20))) % 0.39/0.57 (step @p35 :rule instantiate :premises (@p1) :args ((@list @t16 @t17))) % 0.39/0.57 (step @p36 :rule symm :premises (@p35)) % 0.39/0.57 (step @p37 :rule trans :premises (@p36 @p32)) % 0.39/0.57 (step @p38 :rule refl :args (@t17)) % 0.39/0.57 (step @p39 :rule cong :premises (@p38 @p37) :args ((|tptp.'+'| @t17 (|tptp.'+'| @t17 @t16)))) % 0.39/0.57 (step @p40 :rule instantiate :premises (@p2) :args ((@list @t17 @t17 @t16))) % 0.39/0.57 (step @p41 :rule symm :premises (@p40)) % 0.39/0.57 (step @p42 :rule trans :premises (@p41 @p39)) % 0.39/0.57 (step @p43 :rule cong :premises (@p23 @p42) :args (@t23)) % 0.39/0.57 (step @p44 :rule trans :premises (@p43 @p34 @p33)) % 0.39/0.57 (step @p45 :rule cong :premises (@p44 @p29) :args (@t24)) % 0.39/0.57 (step @p46 :rule trans :premises (@p45 @p16)) % 0.39/0.57 (step @p47 :rule false_elim :premises (@p46)) % 0.39/0.57 (assume-push @p54 @t8) % 0.39/0.57 (step @p49 :rule instantiate :premises (@p2) :args ((@list @t16 @t18 @t16))) % 0.39/0.57 (step-pop @p55 :rule scope :premises (@p49)) % 0.39/0.57 (step @p50 :rule process_scope :premises (@p55) :args (@t24)) % 0.39/0.57 (step @p52 :rule implies_elim :premises (@p50)) % 0.39/0.57 (step @p53 false :rule chain_m_resolution :premises (@p52 @p47 @p2) :args (false (@list true false) (@list @t24 @t8))) % 0.39/0.57 ) % 0.39/0.57 % SZS output end Proof % 0.39/0.58 % cvc5 exiting %------------------------------------------------------------------------------