%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : RNG013-6 : 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 : n018.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 08:45:22 AM UTC 2026 % Result : Unsatisfiable 15.94s 16.25s % Output : Proof 15.94s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : RNG013-6 : TPTP v9.2.1. Released v1.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n018.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Tue Jun 2 13:56:35 EDT 2026 % 0.16/0.35 % CPUTime : % 0.31/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.31/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.94/16.13 --- Run --no-e-matching --full-saturate-quant at 6... % 15.94/16.25 % SZS status Unsatisfiable % 15.94/16.25 % SZS output start Proof % 15.94/16.25 ( % 15.94/16.25 (declare-sort $$unsorted 0) % 15.94/16.25 (declare-const tptp.a $$unsorted) % 15.94/16.25 (declare-const tptp.b $$unsorted) % 15.94/16.25 (declare-const tptp.commutator (-> $$unsorted $$unsorted $$unsorted)) % 15.94/16.25 (declare-const tptp.associator (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 15.94/16.25 (declare-const tptp.additive_inverse (-> $$unsorted $$unsorted)) % 15.94/16.25 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 15.94/16.25 (declare-const tptp.add (-> $$unsorted $$unsorted $$unsorted)) % 15.94/16.25 (declare-const tptp.additive_identity $$unsorted) % 15.94/16.25 (define @t1 () (@var "X" $$unsorted)) % 15.94/16.25 (define @t2 () (tptp.add tptp.additive_identity @t1)) % 15.94/16.25 (define @t3 () (@list @t1)) % 15.94/16.25 (define @t4 () (forall @t3 (= @t2 @t1))) % 15.94/16.25 (define @t5 () (tptp.add @t1 tptp.additive_identity)) % 15.94/16.25 (define @t6 () (forall @t3 (= @t5 @t1))) % 15.94/16.25 (define @t7 () (tptp.multiply tptp.additive_identity @t1)) % 15.94/16.25 (define @t8 () (forall @t3 (= @t7 tptp.additive_identity))) % 15.94/16.25 (define @t9 () (tptp.additive_inverse @t1)) % 15.94/16.25 (define @t10 () (tptp.add @t1 @t9)) % 15.94/16.25 (define @t11 () (forall @t3 (= @t10 tptp.additive_identity))) % 15.94/16.25 (define @t12 () (tptp.additive_inverse @t9)) % 15.94/16.25 (define @t13 () (forall @t3 (= @t12 @t1))) % 15.94/16.25 (define @t14 () (@var "Z" $$unsorted)) % 15.94/16.25 (define @t15 () (tptp.multiply @t1 @t14)) % 15.94/16.25 (define @t16 () (@var "Y" $$unsorted)) % 15.94/16.25 (define @t17 () (tptp.multiply @t1 @t16)) % 15.94/16.25 (define @t18 () (tptp.add @t16 @t14)) % 15.94/16.25 (define @t19 () (@list @t1 @t16 @t14)) % 15.94/16.25 (define @t20 () (tptp.multiply @t16 @t14)) % 15.94/16.25 (define @t21 () (tptp.add @t1 @t16)) % 15.94/16.25 (define @t22 () (@list @t1 @t16)) % 15.94/16.25 (define @t23 () (forall @t19 (= (tptp.add @t1 @t18) (tptp.add @t21 @t14)))) % 15.94/16.25 (define @t24 () (tptp.multiply tptp.a tptp.b)) % 15.94/16.25 (define @t25 () (tptp.additive_inverse @t24)) % 15.94/16.25 (define @t26 () (tptp.additive_inverse tptp.a)) % 15.94/16.25 (define @t27 () (tptp.multiply @t26 tptp.b)) % 15.94/16.25 (define @t28 () (tptp.additive_inverse @t26)) % 15.94/16.25 (define @t29 () (tptp.add @t27 @t24)) % 15.94/16.25 (define @t30 () (tptp.add @t29 @t25)) % 15.94/16.25 (define @t31 () (tptp.add @t27 (tptp.add @t24 @t25))) % 15.94/16.25 (define @t32 () (= @t31 @t30)) % 15.94/16.25 (assume @p1 @t4) % 15.94/16.25 (assume @p2 @t6) % 15.94/16.25 (assume @p3 @t8) % 15.94/16.25 (assume @p4 (forall @t3 (= (tptp.multiply @t1 tptp.additive_identity) tptp.additive_identity))) % 15.94/16.25 (assume @p5 (forall @t3 (= (tptp.add @t9 @t1) tptp.additive_identity))) % 15.94/16.25 (assume @p6 @t11) % 15.94/16.25 (assume @p7 @t13) % 15.94/16.25 (assume @p8 (forall @t19 (= (tptp.multiply @t1 @t18) (tptp.add @t17 @t15)))) % 15.94/16.25 (assume @p9 (forall @t19 (= (tptp.multiply @t21 @t14) (tptp.add @t15 @t20)))) % 15.94/16.25 (assume @p10 (forall @t22 (= @t21 (tptp.add @t16 @t1)))) % 15.94/16.25 (assume @p11 @t23) % 15.94/16.25 (assume @p12 (forall @t22 (= (tptp.multiply @t17 @t16) (tptp.multiply @t1 (tptp.multiply @t16 @t16))))) % 15.94/16.25 (assume @p13 (forall @t22 (= (tptp.multiply (tptp.multiply @t1 @t1) @t16) (tptp.multiply @t1 @t17)))) % 15.94/16.25 (assume @p14 (forall @t19 (= (tptp.associator @t1 @t16 @t14) (tptp.add (tptp.multiply @t17 @t14) (tptp.additive_inverse (tptp.multiply @t1 @t20)))))) % 15.94/16.25 (assume @p15 (forall @t22 (= (tptp.commutator @t1 @t16) (tptp.add (tptp.multiply @t16 @t1) (tptp.additive_inverse @t17))))) % 15.94/16.25 (assume @p16 (not (= @t27 @t25))) % 15.94/16.25 (step @p17 :rule false_intro :premises (@p16)) % 15.94/16.25 (step @p18 :rule eq-symm :args (@t2 @t1)) % 15.94/16.25 (step @p19 :rule cong :premises (@p18) :args (@t4)) % 15.94/16.25 (step @p20 :rule eq_resolve :premises (@p1 @p19)) % 15.94/16.25 (step @p21 :rule instantiate :premises (@p20) :args ((@list @t25))) % 15.94/16.25 (step @p22 :rule symm :premises (@p21)) % 15.94/16.25 (step @p23 :rule refl :args (@t25)) % 15.94/16.25 (step @p24 :rule eq-symm :args (@t7 tptp.additive_identity)) % 15.94/16.25 (step @p25 :rule cong :premises (@p24) :args (@t8)) % 15.94/16.25 (step @p26 :rule eq_resolve :premises (@p3 @p25)) % 15.94/16.25 (step @p27 :rule instantiate :premises (@p26) :args ((@list tptp.b))) % 15.94/16.25 (step @p28 :rule symm :premises (@p27)) % 15.94/16.25 (step @p29 :rule refl :args (tptp.b)) % 15.94/16.25 (step @p30 :rule eq-symm :args (@t10 tptp.additive_identity)) % 15.94/16.25 (step @p31 :rule cong :premises (@p30) :args (@t11)) % 15.94/16.25 (step @p32 :rule eq_resolve :premises (@p6 @p31)) % 15.94/16.25 (step @p33 :rule instantiate :premises (@p32) :args ((@list @t26))) % 15.94/16.25 (step @p34 :rule symm :premises (@p33)) % 15.94/16.25 (step @p35 :rule cong :premises (@p34 @p29) :args ((tptp.multiply (tptp.add @t26 @t28) tptp.b))) % 15.94/16.25 (step @p36 :rule instantiate :premises (@p9) :args ((@list @t26 @t28 tptp.b))) % 15.94/16.25 (step @p37 :rule symm :premises (@p36)) % 15.94/16.25 (step @p38 :rule eq-symm :args (@t12 @t1)) % 15.94/16.25 (step @p39 :rule cong :premises (@p38) :args (@t13)) % 15.94/16.25 (step @p40 :rule eq_resolve :premises (@p7 @p39)) % 15.94/16.25 (step @p41 :rule instantiate :premises (@p40) :args ((@list tptp.a))) % 15.94/16.25 (step @p42 :rule cong :premises (@p41 @p29) :args (@t24)) % 15.94/16.25 (step @p43 :rule refl :args (@t27)) % 15.94/16.25 (step @p44 :rule cong :premises (@p43 @p42) :args (@t29)) % 15.94/16.25 (step @p45 :rule trans :premises (@p44 @p37 @p35 @p28)) % 15.94/16.25 (step @p46 :rule cong :premises (@p45 @p23) :args (@t30)) % 15.94/16.25 (step @p47 :rule trans :premises (@p46 @p22)) % 15.94/16.25 (step @p48 :rule eq-symm :args (@t5 @t1)) % 15.94/16.25 (step @p49 :rule cong :premises (@p48) :args (@t6)) % 15.94/16.25 (step @p50 :rule eq_resolve :premises (@p2 @p49)) % 15.94/16.25 (step @p51 :rule instantiate :premises (@p50) :args ((@list @t27))) % 15.94/16.25 (step @p52 :rule symm :premises (@p51)) % 15.94/16.25 (step @p53 :rule instantiate :premises (@p32) :args ((@list @t24))) % 15.94/16.25 (step @p54 :rule symm :premises (@p53)) % 15.94/16.25 (step @p55 :rule cong :premises (@p43 @p54) :args (@t31)) % 15.94/16.25 (step @p56 :rule trans :premises (@p55 @p52)) % 15.94/16.25 (step @p57 :rule cong :premises (@p56 @p47) :args (@t32)) % 15.94/16.25 (step @p58 :rule trans :premises (@p57 @p17)) % 15.94/16.25 (step @p59 :rule false_elim :premises (@p58)) % 15.94/16.25 (assume-push @p66 @t23) % 15.94/16.25 (step @p61 :rule instantiate :premises (@p11) :args ((@list @t27 @t24 @t25))) % 15.94/16.25 (step-pop @p67 :rule scope :premises (@p61)) % 15.94/16.25 (step @p62 :rule process_scope :premises (@p67) :args (@t32)) % 15.94/16.25 (step @p64 :rule implies_elim :premises (@p62)) % 15.94/16.25 (step @p65 false :rule chain_m_resolution :premises (@p64 @p59 @p11) :args (false (@list true false) (@list @t32 @t23))) % 15.94/16.25 ) % 15.94/16.26 % SZS output end Proof % 15.94/16.26 % cvc5 exiting %------------------------------------------------------------------------------