%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : RNG024-7 : TPTP v9.2.1. Released v1.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n022.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 08:45:24 AM UTC 2026 % Result : Unsatisfiable 0.30s 0.55s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : RNG024-7 : TPTP v9.2.1. Released v1.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n022.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 13:57:38 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.30/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.30/0.55 % SZS status Unsatisfiable % 0.30/0.55 % SZS output start Proof % 0.39/0.56 ( % 0.39/0.56 (declare-sort $$unsorted 0) % 0.39/0.56 (declare-const tptp.y $$unsorted) % 0.39/0.56 (declare-const tptp.commutator (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.56 (declare-const tptp.associator (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.39/0.56 (declare-const tptp.additive_inverse (-> $$unsorted $$unsorted)) % 0.39/0.56 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.56 (declare-const tptp.x $$unsorted) % 0.39/0.56 (declare-const tptp.add (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.56 (declare-const tptp.additive_identity $$unsorted) % 0.39/0.56 (define @t1 () (@var "X" $$unsorted)) % 0.39/0.56 (define @t2 () (@list @t1)) % 0.39/0.56 (define @t3 () (tptp.additive_inverse @t1)) % 0.39/0.56 (define @t4 () (tptp.add @t3 @t1)) % 0.39/0.56 (define @t5 () (forall @t2 (= @t4 tptp.additive_identity))) % 0.39/0.56 (define @t6 () (@var "Z" $$unsorted)) % 0.39/0.56 (define @t7 () (tptp.multiply @t1 @t6)) % 0.39/0.56 (define @t8 () (@var "Y" $$unsorted)) % 0.39/0.56 (define @t9 () (tptp.multiply @t1 @t8)) % 0.39/0.56 (define @t10 () (tptp.add @t8 @t6)) % 0.39/0.56 (define @t11 () (@list @t1 @t8 @t6)) % 0.39/0.56 (define @t12 () (tptp.multiply @t8 @t6)) % 0.39/0.56 (define @t13 () (tptp.add @t1 @t8)) % 0.39/0.56 (define @t14 () (@list @t1 @t8)) % 0.39/0.56 (define @t15 () (tptp.additive_inverse @t9)) % 0.39/0.56 (define @t16 () (tptp.additive_inverse @t8)) % 0.39/0.56 (define @t17 () (tptp.additive_inverse @t7)) % 0.39/0.56 (define @t18 () (tptp.additive_inverse @t6)) % 0.39/0.56 (define @t19 () (tptp.additive_inverse @t12)) % 0.39/0.56 (define @t20 () (tptp.associator tptp.x tptp.y tptp.y)) % 0.39/0.56 (define @t21 () (tptp.multiply tptp.x (tptp.multiply tptp.y tptp.y))) % 0.39/0.56 (define @t22 () (tptp.additive_inverse @t21)) % 0.39/0.56 (define @t23 () (tptp.multiply (tptp.multiply tptp.x tptp.y) tptp.y)) % 0.39/0.56 (define @t24 () (tptp.add @t23 @t22)) % 0.39/0.56 (define @t25 () (= @t20 @t24)) % 0.39/0.56 (define @t26 () (tptp.add @t22 @t21)) % 0.39/0.56 (define @t27 () (= tptp.additive_identity @t26)) % 0.39/0.56 (define @t28 () (= @t24 (tptp.add @t22 @t23))) % 0.39/0.56 (define @t29 () (= @t23 @t21)) % 0.39/0.56 (define @t30 () (= tptp.additive_identity @t20)) % 0.39/0.56 (define @t31 () (and @t25 @t27 @t28 @t29)) % 0.39/0.56 (assume @p1 (forall @t2 (= (tptp.add tptp.additive_identity @t1) @t1))) % 0.39/0.56 (assume @p2 (forall @t2 (= (tptp.add @t1 tptp.additive_identity) @t1))) % 0.39/0.56 (assume @p3 (forall @t2 (= (tptp.multiply tptp.additive_identity @t1) tptp.additive_identity))) % 0.39/0.56 (assume @p4 (forall @t2 (= (tptp.multiply @t1 tptp.additive_identity) tptp.additive_identity))) % 0.39/0.56 (assume @p5 @t5) % 0.39/0.56 (assume @p6 (forall @t2 (= (tptp.add @t1 @t3) tptp.additive_identity))) % 0.39/0.56 (assume @p7 (forall @t2 (= (tptp.additive_inverse @t3) @t1))) % 0.39/0.56 (assume @p8 (forall @t11 (= (tptp.multiply @t1 @t10) (tptp.add @t9 @t7)))) % 0.39/0.56 (assume @p9 (forall @t11 (= (tptp.multiply @t13 @t6) (tptp.add @t7 @t12)))) % 0.39/0.56 (assume @p10 (forall @t14 (= @t13 (tptp.add @t8 @t1)))) % 0.39/0.56 (assume @p11 (forall @t11 (= (tptp.add @t1 @t10) (tptp.add @t13 @t6)))) % 0.39/0.56 (assume @p12 (forall @t14 (= (tptp.multiply @t9 @t8) (tptp.multiply @t1 (tptp.multiply @t8 @t8))))) % 0.39/0.56 (assume @p13 (forall @t14 (= (tptp.multiply (tptp.multiply @t1 @t1) @t8) (tptp.multiply @t1 @t9)))) % 0.39/0.56 (assume @p14 (forall @t11 (= (tptp.associator @t1 @t8 @t6) (tptp.add (tptp.multiply @t9 @t6) (tptp.additive_inverse (tptp.multiply @t1 @t12)))))) % 0.39/0.56 (assume @p15 (forall @t14 (= (tptp.commutator @t1 @t8) (tptp.add (tptp.multiply @t8 @t1) @t15)))) % 0.39/0.56 (assume @p16 (forall @t14 (= (tptp.multiply @t3 @t16) @t9))) % 0.39/0.56 (assume @p17 (forall @t14 (= (tptp.multiply @t3 @t8) @t15))) % 0.39/0.56 (assume @p18 (forall @t14 (= (tptp.multiply @t1 @t16) @t15))) % 0.39/0.56 (assume @p19 (forall @t11 (= (tptp.multiply @t1 (tptp.add @t8 @t18)) (tptp.add @t9 @t17)))) % 0.39/0.56 (assume @p20 (forall @t11 (= (tptp.multiply (tptp.add @t1 @t16) @t6) (tptp.add @t7 @t19)))) % 0.39/0.56 (assume @p21 (forall @t11 (= (tptp.multiply @t3 @t10) (tptp.add @t15 @t17)))) % 0.39/0.56 (assume @p22 (forall @t11 (= (tptp.multiply @t13 @t18) (tptp.add @t17 @t19)))) % 0.39/0.56 (assume @p23 (not (= @t20 tptp.additive_identity))) % 0.39/0.56 (step @p24 :rule symm :premises (@p23)) % 0.39/0.56 (step @p25 :rule instantiate :premises (@p14) :args ((@list tptp.x tptp.y tptp.y))) % 0.39/0.56 (step @p26 :rule eq-symm :args (@t4 tptp.additive_identity)) % 0.39/0.56 (step @p27 :rule cong :premises (@p26) :args (@t5)) % 0.39/0.56 (step @p28 :rule eq_resolve :premises (@p5 @p27)) % 0.39/0.56 (step @p29 :rule instantiate :premises (@p28) :args ((@list @t21))) % 0.39/0.56 (step @p30 :rule instantiate :premises (@p10) :args ((@list @t23 @t22))) % 0.39/0.56 (step @p31 :rule instantiate :premises (@p12) :args ((@list tptp.x tptp.y))) % 0.39/0.56 (assume-push @p52 @t25) % 0.39/0.56 (assume-push @p53 @t27) % 0.39/0.56 (assume-push @p54 @t28) % 0.39/0.56 (assume-push @p55 @t29) % 0.39/0.56 (step @p36 :rule symm :premises (@p25)) % 0.39/0.56 (step @p37 :rule symm :premises (@p30)) % 0.39/0.56 (step @p38 :rule symm :premises (@p31)) % 0.39/0.56 (step @p39 :rule refl :args (@t22)) % 0.39/0.56 (step @p40 :rule cong :premises (@p39 @p38) :args (@t26)) % 0.39/0.56 (step @p41 :rule trans :premises (@p29 @p40 @p37 @p36)) % 0.39/0.56 (step-pop @p56 :rule scope :premises (@p41)) % 0.39/0.56 (step-pop @p57 :rule scope :premises (@p56)) % 0.39/0.56 (step-pop @p58 :rule scope :premises (@p57)) % 0.39/0.56 (step-pop @p59 :rule scope :premises (@p58)) % 0.39/0.56 (step @p42 :rule process_scope :premises (@p59) :args (@t30)) % 0.39/0.56 (step @p47 :rule implies_elim :premises (@p42)) % 0.39/0.56 (step @p48 :rule cnf_and_neg :args (@t31)) % 0.39/0.56 (step @p49 :rule resolution :premises (@p48 @p47) :args (true @t31)) % 0.39/0.56 (step @p50 :rule reordering :premises (@p49) :args ((or @t30 (not @t25) (not @t27) (not @t28) (not @t29)))) % 0.39/0.56 (step @p51 false :rule chain_m_resolution :premises (@p50 @p31 @p30 @p29 @p25 @p24) :args (false (@list false false false false true) (@list @t29 @t28 @t27 @t25 @t30))) % 0.39/0.56 ) % 0.39/0.56 % SZS output end Proof % 0.39/0.56 % cvc5 exiting %------------------------------------------------------------------------------