%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : RNG016-6 : 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 : n026.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 16.96s 17.16s % Output : Proof 16.96s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : RNG016-6 : 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 % 0.16/0.34 % Computer : n026.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 13:57:40 EDT 2026 % 0.16/0.34 % CPUTime : % 0.28/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.28/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.85/16.09 --- Run --no-e-matching --full-saturate-quant at 6... % 16.96/17.16 % SZS status Unsatisfiable % 16.96/17.16 % SZS output start Proof % 16.96/17.16 ( % 16.96/17.16 (declare-sort $$unsorted 0) % 16.96/17.16 (declare-const tptp.x $$unsorted) % 16.96/17.16 (declare-const tptp.y $$unsorted) % 16.96/17.16 (declare-const tptp.z $$unsorted) % 16.96/17.16 (declare-const tptp.commutator (-> $$unsorted $$unsorted $$unsorted)) % 16.96/17.16 (declare-const tptp.associator (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 16.96/17.16 (declare-const tptp.additive_inverse (-> $$unsorted $$unsorted)) % 16.96/17.16 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 16.96/17.16 (declare-const tptp.add (-> $$unsorted $$unsorted $$unsorted)) % 16.96/17.16 (declare-const tptp.additive_identity $$unsorted) % 16.96/17.16 (define @t1 () (@var "X" $$unsorted)) % 16.96/17.16 (define @t2 () (tptp.add tptp.additive_identity @t1)) % 16.96/17.16 (define @t3 () (@list @t1)) % 16.96/17.16 (define @t4 () (forall @t3 (= @t2 @t1))) % 16.96/17.16 (define @t5 () (tptp.add @t1 tptp.additive_identity)) % 16.96/17.16 (define @t6 () (forall @t3 (= @t5 @t1))) % 16.96/17.16 (define @t7 () (tptp.multiply tptp.additive_identity @t1)) % 16.96/17.16 (define @t8 () (forall @t3 (= @t7 tptp.additive_identity))) % 16.96/17.16 (define @t9 () (tptp.additive_inverse @t1)) % 16.96/17.16 (define @t10 () (tptp.add @t9 @t1)) % 16.96/17.16 (define @t11 () (forall @t3 (= @t10 tptp.additive_identity))) % 16.96/17.16 (define @t12 () (tptp.add @t1 @t9)) % 16.96/17.16 (define @t13 () (forall @t3 (= @t12 tptp.additive_identity))) % 16.96/17.16 (define @t14 () (@var "Z" $$unsorted)) % 16.96/17.16 (define @t15 () (tptp.multiply @t1 @t14)) % 16.96/17.16 (define @t16 () (@var "Y" $$unsorted)) % 16.96/17.16 (define @t17 () (tptp.multiply @t1 @t16)) % 16.96/17.16 (define @t18 () (tptp.add @t16 @t14)) % 16.96/17.16 (define @t19 () (@list @t1 @t16 @t14)) % 16.96/17.16 (define @t20 () (tptp.multiply @t16 @t14)) % 16.96/17.16 (define @t21 () (tptp.add @t1 @t16)) % 16.96/17.16 (define @t22 () (forall @t19 (= (tptp.multiply @t21 @t14) (tptp.add @t15 @t20)))) % 16.96/17.16 (define @t23 () (@list @t1 @t16)) % 16.96/17.16 (define @t24 () (tptp.multiply tptp.y tptp.z)) % 16.96/17.16 (define @t25 () (tptp.additive_inverse @t24)) % 16.96/17.16 (define @t26 () (tptp.multiply tptp.x tptp.z)) % 16.96/17.16 (define @t27 () (tptp.additive_inverse tptp.y)) % 16.96/17.16 (define @t28 () (tptp.multiply (tptp.add tptp.x @t27) tptp.z)) % 16.96/17.16 (define @t29 () (tptp.multiply @t27 tptp.z)) % 16.96/17.16 (define @t30 () (tptp.add @t26 @t29)) % 16.96/17.16 (define @t31 () (= @t28 @t30)) % 16.96/17.16 (assume @p1 @t4) % 16.96/17.16 (assume @p2 @t6) % 16.96/17.16 (assume @p3 @t8) % 16.96/17.16 (assume @p4 (forall @t3 (= (tptp.multiply @t1 tptp.additive_identity) tptp.additive_identity))) % 16.96/17.16 (assume @p5 @t11) % 16.96/17.16 (assume @p6 @t13) % 16.96/17.16 (assume @p7 (forall @t3 (= (tptp.additive_inverse @t9) @t1))) % 16.96/17.16 (assume @p8 (forall @t19 (= (tptp.multiply @t1 @t18) (tptp.add @t17 @t15)))) % 16.96/17.16 (assume @p9 @t22) % 16.96/17.16 (assume @p10 (forall @t23 (= @t21 (tptp.add @t16 @t1)))) % 16.96/17.16 (assume @p11 (forall @t19 (= (tptp.add @t1 @t18) (tptp.add @t21 @t14)))) % 16.96/17.16 (assume @p12 (forall @t23 (= (tptp.multiply @t17 @t16) (tptp.multiply @t1 (tptp.multiply @t16 @t16))))) % 16.96/17.16 (assume @p13 (forall @t23 (= (tptp.multiply (tptp.multiply @t1 @t1) @t16) (tptp.multiply @t1 @t17)))) % 16.96/17.16 (assume @p14 (forall @t19 (= (tptp.associator @t1 @t16 @t14) (tptp.add (tptp.multiply @t17 @t14) (tptp.additive_inverse (tptp.multiply @t1 @t20)))))) % 16.96/17.16 (assume @p15 (forall @t23 (= (tptp.commutator @t1 @t16) (tptp.add (tptp.multiply @t16 @t1) (tptp.additive_inverse @t17))))) % 16.96/17.16 (assume @p16 (not (= @t28 (tptp.add @t26 @t25)))) % 16.96/17.16 (step @p17 :rule false_intro :premises (@p16)) % 16.96/17.16 (step @p18 :rule eq-symm :args (@t5 @t1)) % 16.96/17.16 (step @p19 :rule cong :premises (@p18) :args (@t6)) % 16.96/17.16 (step @p20 :rule eq_resolve :premises (@p2 @p19)) % 16.96/17.16 (step @p21 :rule instantiate :premises (@p20) :args ((@list @t25))) % 16.96/17.16 (step @p22 :rule symm :premises (@p21)) % 16.96/17.16 (step @p23 :rule eq-symm :args (@t7 tptp.additive_identity)) % 16.96/17.16 (step @p24 :rule cong :premises (@p23) :args (@t8)) % 16.96/17.16 (step @p25 :rule eq_resolve :premises (@p3 @p24)) % 16.96/17.16 (step @p26 :rule instantiate :premises (@p25) :args ((@list tptp.z))) % 16.96/17.16 (step @p27 :rule symm :premises (@p26)) % 16.96/17.16 (step @p28 :rule refl :args (tptp.z)) % 16.96/17.16 (step @p29 :rule eq-symm :args (@t12 tptp.additive_identity)) % 16.96/17.16 (step @p30 :rule cong :premises (@p29) :args (@t13)) % 16.96/17.16 (step @p31 :rule eq_resolve :premises (@p6 @p30)) % 16.96/17.16 (step @p32 :rule instantiate :premises (@p31) :args ((@list tptp.y))) % 16.96/17.16 (step @p33 :rule symm :premises (@p32)) % 16.96/17.16 (step @p34 :rule cong :premises (@p33 @p28) :args ((tptp.multiply (tptp.add tptp.y @t27) tptp.z))) % 16.96/17.16 (step @p35 :rule instantiate :premises (@p9) :args ((@list tptp.y @t27 tptp.z))) % 16.96/17.16 (step @p36 :rule symm :premises (@p35)) % 16.96/17.16 (step @p37 :rule trans :premises (@p36 @p34 @p27)) % 16.96/17.16 (step @p38 :rule refl :args (@t25)) % 16.96/17.16 (step @p39 :rule cong :premises (@p38 @p37) :args ((tptp.add @t25 (tptp.add @t24 @t29)))) % 16.96/17.16 (step @p40 :rule instantiate :premises (@p11) :args ((@list @t25 @t24 @t29))) % 16.96/17.16 (step @p41 :rule symm :premises (@p40)) % 16.96/17.16 (step @p42 :rule refl :args (@t29)) % 16.96/17.16 (step @p43 :rule eq-symm :args (@t10 tptp.additive_identity)) % 16.96/17.16 (step @p44 :rule cong :premises (@p43) :args (@t11)) % 16.96/17.16 (step @p45 :rule eq_resolve :premises (@p5 @p44)) % 16.96/17.16 (step @p46 :rule instantiate :premises (@p45) :args ((@list @t24))) % 16.96/17.16 (step @p47 :rule trans :premises (@p27 @p46)) % 16.96/17.16 (step @p48 :rule cong :premises (@p47 @p42) :args ((tptp.add (tptp.multiply tptp.additive_identity tptp.z) @t29))) % 16.96/17.16 (step @p49 :rule instantiate :premises (@p9) :args ((@list tptp.additive_identity @t27 tptp.z))) % 16.96/17.16 (step @p50 :rule eq-symm :args (@t2 @t1)) % 16.96/17.16 (step @p51 :rule cong :premises (@p50) :args (@t4)) % 16.96/17.16 (step @p52 :rule eq_resolve :premises (@p1 @p51)) % 16.96/17.16 (step @p53 :rule instantiate :premises (@p52) :args ((@list @t27))) % 16.96/17.16 (step @p54 :rule cong :premises (@p53 @p28) :args (@t29)) % 16.96/17.16 (step @p55 :rule trans :premises (@p54 @p49 @p48 @p41 @p39 @p22)) % 16.96/17.16 (step @p56 :rule refl :args (@t26)) % 16.96/17.16 (step @p57 :rule cong :premises (@p56 @p55) :args (@t30)) % 16.96/17.16 (step @p58 :rule refl :args (@t28)) % 16.96/17.16 (step @p59 :rule cong :premises (@p58 @p57) :args (@t31)) % 16.96/17.16 (step @p60 :rule trans :premises (@p59 @p17)) % 16.96/17.16 (step @p61 :rule false_elim :premises (@p60)) % 16.96/17.16 (assume-push @p68 @t22) % 16.96/17.16 (step @p63 :rule instantiate :premises (@p9) :args ((@list tptp.x @t27 tptp.z))) % 16.96/17.16 (step-pop @p69 :rule scope :premises (@p63)) % 16.96/17.16 (step @p64 :rule process_scope :premises (@p69) :args (@t31)) % 16.96/17.16 (step @p66 :rule implies_elim :premises (@p64)) % 16.96/17.16 (step @p67 false :rule chain_m_resolution :premises (@p66 @p61 @p9) :args (false (@list true false) (@list @t31 @t22))) % 16.96/17.16 ) % 16.96/17.16 % SZS output end Proof % 16.96/17.16 % cvc5 exiting %------------------------------------------------------------------------------