%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : RNG014-6 : 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 : n012.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 16.99s 17.26s % Output : Proof 16.99s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : RNG014-6 : TPTP v9.2.1. Released v1.0.0. % 0.00/0.07 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.07/0.25 % Computer : n012.cluster.edu % 0.07/0.25 % Model : x86_64 x86_64 % 0.07/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.25 % Memory : 8042.1875MB % 0.07/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.07/0.25 % CPULimit : 300 % 0.07/0.25 % WCLimit : 300 % 0.07/0.25 % DateTime : Tue Jun 2 13:56:48 EDT 2026 % 0.07/0.25 % CPUTime : % 0.15/0.33 %----Proving TF0_NAR, FOF, or CNF % 0.15/0.34 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.15/15.83 --- Run --no-e-matching --full-saturate-quant at 6... % 16.99/17.26 % SZS status Unsatisfiable % 16.99/17.26 % SZS output start Proof % 16.99/17.26 ( % 16.99/17.26 (declare-sort $$unsorted 0) % 16.99/17.26 (declare-const tptp.a $$unsorted) % 16.99/17.26 (declare-const tptp.b $$unsorted) % 16.99/17.26 (declare-const tptp.commutator (-> $$unsorted $$unsorted $$unsorted)) % 16.99/17.26 (declare-const tptp.associator (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 16.99/17.26 (declare-const tptp.additive_inverse (-> $$unsorted $$unsorted)) % 16.99/17.26 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 16.99/17.26 (declare-const tptp.add (-> $$unsorted $$unsorted $$unsorted)) % 16.99/17.26 (declare-const tptp.additive_identity $$unsorted) % 16.99/17.26 (define @t1 () (@var "X" $$unsorted)) % 16.99/17.26 (define @t2 () (tptp.add tptp.additive_identity @t1)) % 16.99/17.26 (define @t3 () (@list @t1)) % 16.99/17.26 (define @t4 () (forall @t3 (= @t2 @t1))) % 16.99/17.26 (define @t5 () (tptp.add @t1 tptp.additive_identity)) % 16.99/17.26 (define @t6 () (forall @t3 (= @t5 @t1))) % 16.99/17.26 (define @t7 () (tptp.multiply @t1 tptp.additive_identity)) % 16.99/17.26 (define @t8 () (forall @t3 (= @t7 tptp.additive_identity))) % 16.99/17.26 (define @t9 () (tptp.additive_inverse @t1)) % 16.99/17.26 (define @t10 () (tptp.add @t1 @t9)) % 16.99/17.26 (define @t11 () (forall @t3 (= @t10 tptp.additive_identity))) % 16.99/17.26 (define @t12 () (@var "Z" $$unsorted)) % 16.99/17.26 (define @t13 () (tptp.multiply @t1 @t12)) % 16.99/17.26 (define @t14 () (@var "Y" $$unsorted)) % 16.99/17.26 (define @t15 () (tptp.multiply @t1 @t14)) % 16.99/17.26 (define @t16 () (tptp.add @t14 @t12)) % 16.99/17.26 (define @t17 () (@list @t1 @t14 @t12)) % 16.99/17.26 (define @t18 () (forall @t17 (= (tptp.multiply @t1 @t16) (tptp.add @t15 @t13)))) % 16.99/17.26 (define @t19 () (tptp.multiply @t14 @t12)) % 16.99/17.26 (define @t20 () (tptp.add @t1 @t14)) % 16.99/17.26 (define @t21 () (@list @t1 @t14)) % 16.99/17.26 (define @t22 () (forall @t17 (= (tptp.add @t1 @t16) (tptp.add @t20 @t12)))) % 16.99/17.26 (define @t23 () (tptp.multiply tptp.a tptp.b)) % 16.99/17.26 (define @t24 () (tptp.additive_inverse @t23)) % 16.99/17.26 (define @t25 () (tptp.additive_inverse tptp.b)) % 16.99/17.26 (define @t26 () (tptp.multiply tptp.a @t25)) % 16.99/17.26 (define @t27 () (tptp.multiply tptp.a (tptp.add tptp.b @t25))) % 16.99/17.26 (define @t28 () (tptp.add @t23 @t26)) % 16.99/17.26 (define @t29 () (= @t27 @t28)) % 16.99/17.26 (define @t30 () (tptp.add (tptp.add @t26 @t23) @t24)) % 16.99/17.26 (define @t31 () (tptp.add @t26 (tptp.add @t23 @t24))) % 16.99/17.26 (define @t32 () (= @t31 @t30)) % 16.99/17.26 (assume @p1 @t4) % 16.99/17.26 (assume @p2 @t6) % 16.99/17.26 (assume @p3 (forall @t3 (= (tptp.multiply tptp.additive_identity @t1) tptp.additive_identity))) % 16.99/17.26 (assume @p4 @t8) % 16.99/17.26 (assume @p5 (forall @t3 (= (tptp.add @t9 @t1) tptp.additive_identity))) % 16.99/17.26 (assume @p6 @t11) % 16.99/17.26 (assume @p7 (forall @t3 (= (tptp.additive_inverse @t9) @t1))) % 16.99/17.26 (assume @p8 @t18) % 16.99/17.26 (assume @p9 (forall @t17 (= (tptp.multiply @t20 @t12) (tptp.add @t13 @t19)))) % 16.99/17.26 (assume @p10 (forall @t21 (= @t20 (tptp.add @t14 @t1)))) % 16.99/17.26 (assume @p11 @t22) % 16.99/17.26 (assume @p12 (forall @t21 (= (tptp.multiply @t15 @t14) (tptp.multiply @t1 (tptp.multiply @t14 @t14))))) % 16.99/17.26 (assume @p13 (forall @t21 (= (tptp.multiply (tptp.multiply @t1 @t1) @t14) (tptp.multiply @t1 @t15)))) % 16.99/17.26 (assume @p14 (forall @t17 (= (tptp.associator @t1 @t14 @t12) (tptp.add (tptp.multiply @t15 @t12) (tptp.additive_inverse (tptp.multiply @t1 @t19)))))) % 16.99/17.26 (assume @p15 (forall @t21 (= (tptp.commutator @t1 @t14) (tptp.add (tptp.multiply @t14 @t1) (tptp.additive_inverse @t15))))) % 16.99/17.26 (assume @p16 (not (= @t26 @t24))) % 16.99/17.26 (step @p17 :rule false_intro :premises (@p16)) % 16.99/17.26 (step @p18 :rule eq-symm :args (@t2 @t1)) % 16.99/17.26 (step @p19 :rule cong :premises (@p18) :args (@t4)) % 16.99/17.26 (step @p20 :rule eq_resolve :premises (@p1 @p19)) % 16.99/17.26 (step @p21 :rule instantiate :premises (@p20) :args ((@list @t24))) % 16.99/17.26 (step @p22 :rule symm :premises (@p21)) % 16.99/17.26 (step @p23 :rule refl :args (@t24)) % 16.99/17.26 (step @p24 :rule eq-symm :args (@t7 tptp.additive_identity)) % 16.99/17.26 (step @p25 :rule cong :premises (@p24) :args (@t8)) % 16.99/17.26 (step @p26 :rule eq_resolve :premises (@p4 @p25)) % 16.99/17.26 (step @p27 :rule instantiate :premises (@p26) :args ((@list tptp.a))) % 16.99/17.26 (step @p28 :rule symm :premises (@p27)) % 16.99/17.26 (step @p29 :rule eq-symm :args (@t10 tptp.additive_identity)) % 16.99/17.26 (step @p30 :rule cong :premises (@p29) :args (@t11)) % 16.99/17.26 (step @p31 :rule eq_resolve :premises (@p6 @p30)) % 16.99/17.26 (step @p32 :rule instantiate :premises (@p31) :args ((@list tptp.b))) % 16.99/17.26 (step @p33 :rule symm :premises (@p32)) % 16.99/17.26 (step @p34 :rule refl :args (tptp.a)) % 16.99/17.26 (step @p35 :rule cong :premises (@p34 @p33) :args (@t27)) % 16.99/17.26 (step @p36 :rule eq-symm :args (@t27 @t28)) % 16.99/17.26 (step @p37 :rule refl :args (@t18)) % 16.99/17.26 (step @p38 :rule cong :premises (@p37 @p36) :args ((=> @t18 @t29))) % 16.99/17.26 (assume-push @p69 @t18) % 16.99/17.26 (step @p40 :rule instantiate :premises (@p8) :args ((@list tptp.a tptp.b @t25))) % 16.99/17.26 (step-pop @p70 :rule scope :premises (@p40)) % 16.99/17.26 (step @p41 :rule process_scope :premises (@p70) :args (@t29)) % 16.99/17.26 (step @p43 :rule eq_resolve :premises (@p41 @p38)) % 16.99/17.26 (step @p44 :rule implies_elim :premises (@p43)) % 16.99/17.26 (step @p45 :rule chain_m_resolution :premises (@p44 @p8) :args ((= @t28 @t27) (@list false) (@list @t18))) % 16.99/17.26 (step @p46 :rule instantiate :premises (@p10) :args ((@list @t26 @t23))) % 16.99/17.26 (step @p47 :rule trans :premises (@p46 @p45 @p35 @p28)) % 16.99/17.26 (step @p48 :rule cong :premises (@p47 @p23) :args (@t30)) % 16.99/17.26 (step @p49 :rule trans :premises (@p48 @p22)) % 16.99/17.26 (step @p50 :rule eq-symm :args (@t5 @t1)) % 16.99/17.26 (step @p51 :rule cong :premises (@p50) :args (@t6)) % 16.99/17.26 (step @p52 :rule eq_resolve :premises (@p2 @p51)) % 16.99/17.26 (step @p53 :rule instantiate :premises (@p52) :args ((@list @t26))) % 16.99/17.26 (step @p54 :rule symm :premises (@p53)) % 16.99/17.26 (step @p55 :rule instantiate :premises (@p31) :args ((@list @t23))) % 16.99/17.26 (step @p56 :rule symm :premises (@p55)) % 16.99/17.26 (step @p57 :rule refl :args (@t26)) % 16.99/17.26 (step @p58 :rule cong :premises (@p57 @p56) :args (@t31)) % 16.99/17.26 (step @p59 :rule trans :premises (@p58 @p54)) % 16.99/17.26 (step @p60 :rule cong :premises (@p59 @p49) :args (@t32)) % 16.99/17.26 (step @p61 :rule trans :premises (@p60 @p17)) % 16.99/17.26 (step @p62 :rule false_elim :premises (@p61)) % 16.99/17.26 (assume-push @p71 @t22) % 16.99/17.26 (step @p64 :rule instantiate :premises (@p11) :args ((@list @t26 @t23 @t24))) % 16.99/17.26 (step-pop @p72 :rule scope :premises (@p64)) % 16.99/17.26 (step @p65 :rule process_scope :premises (@p72) :args (@t32)) % 16.99/17.26 (step @p67 :rule implies_elim :premises (@p65)) % 16.99/17.26 (step @p68 false :rule chain_m_resolution :premises (@p67 @p62 @p11) :args (false (@list true false) (@list @t32 @t22))) % 16.99/17.26 ) % 16.99/17.27 % SZS output end Proof % 16.99/17.27 % cvc5 exiting %------------------------------------------------------------------------------