%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : RNG011-5 : 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 : 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 0.30s 0.55s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : RNG011-5 : TPTP v9.2.1. Released v1.0.0. % 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.34 % Computer : n018.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 13:56:20 EDT 2026 % 0.18/0.34 % 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 % 0.38/0.55 ( % 0.38/0.55 (declare-sort $$unsorted 0) % 0.38/0.55 (declare-const tptp.a $$unsorted) % 0.38/0.55 (declare-const tptp.b $$unsorted) % 0.38/0.55 (declare-const tptp.commutator (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.55 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.55 (declare-const tptp.additive_inverse (-> $$unsorted $$unsorted)) % 0.38/0.55 (declare-const tptp.associator (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.38/0.55 (declare-const tptp.additive_identity $$unsorted) % 0.38/0.55 (declare-const tptp.add (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.55 (define @t1 () (@var "X" $$unsorted)) % 0.38/0.55 (define @t2 () (@var "Y" $$unsorted)) % 0.38/0.55 (define @t3 () (tptp.add @t1 @t2)) % 0.38/0.55 (define @t4 () (@list @t1 @t2)) % 0.38/0.55 (define @t5 () (@var "Z" $$unsorted)) % 0.38/0.55 (define @t6 () (tptp.add @t2 @t5)) % 0.38/0.55 (define @t7 () (@list @t1 @t2 @t5)) % 0.38/0.55 (define @t8 () (@list @t1)) % 0.38/0.55 (define @t9 () (tptp.additive_inverse @t1)) % 0.38/0.55 (define @t10 () (tptp.additive_inverse @t2)) % 0.38/0.55 (define @t11 () (tptp.multiply @t1 @t2)) % 0.38/0.55 (define @t12 () (tptp.additive_inverse @t11)) % 0.38/0.55 (define @t13 () (tptp.multiply @t1 @t5)) % 0.38/0.55 (define @t14 () (tptp.multiply @t2 @t5)) % 0.38/0.55 (define @t15 () (tptp.associator @t1 @t1 @t2)) % 0.38/0.55 (define @t16 () (tptp.multiply (tptp.multiply @t15 @t1) @t15)) % 0.38/0.55 (define @t17 () (forall @t4 (= @t16 tptp.additive_identity))) % 0.38/0.55 (define @t18 () (tptp.associator tptp.a tptp.a tptp.b)) % 0.38/0.55 (define @t19 () (tptp.multiply (tptp.multiply @t18 tptp.a) @t18)) % 0.38/0.55 (define @t20 () (forall @t4 (= tptp.additive_identity @t16))) % 0.38/0.55 (define @t21 () (= tptp.additive_identity @t19)) % 0.38/0.55 (assume @p1 (forall @t4 (= @t3 (tptp.add @t2 @t1)))) % 0.38/0.55 (assume @p2 (forall @t7 (= (tptp.add @t3 @t5) (tptp.add @t1 @t6)))) % 0.38/0.55 (assume @p3 (forall @t8 (= (tptp.add @t1 tptp.additive_identity) @t1))) % 0.38/0.55 (assume @p4 (forall @t8 (= (tptp.add tptp.additive_identity @t1) @t1))) % 0.38/0.55 (assume @p5 (forall @t8 (= (tptp.add @t1 @t9) tptp.additive_identity))) % 0.38/0.55 (assume @p6 (forall @t8 (= (tptp.add @t9 @t1) tptp.additive_identity))) % 0.38/0.55 (assume @p7 (= (tptp.additive_inverse tptp.additive_identity) tptp.additive_identity)) % 0.38/0.55 (assume @p8 (forall @t4 (= (tptp.add @t1 (tptp.add @t9 @t2)) @t2))) % 0.38/0.55 (assume @p9 (forall @t4 (= (tptp.additive_inverse @t3) (tptp.add @t9 @t10)))) % 0.38/0.55 (assume @p10 (forall @t8 (= (tptp.additive_inverse @t9) @t1))) % 0.38/0.55 (assume @p11 (forall @t8 (= (tptp.multiply @t1 tptp.additive_identity) tptp.additive_identity))) % 0.38/0.55 (assume @p12 (forall @t8 (= (tptp.multiply tptp.additive_identity @t1) tptp.additive_identity))) % 0.38/0.55 (assume @p13 (forall @t4 (= (tptp.multiply @t9 @t10) @t11))) % 0.38/0.55 (assume @p14 (forall @t4 (= (tptp.multiply @t1 @t10) @t12))) % 0.38/0.55 (assume @p15 (forall @t4 (= (tptp.multiply @t9 @t2) @t12))) % 0.38/0.55 (assume @p16 (forall @t7 (= (tptp.multiply @t1 @t6) (tptp.add @t11 @t13)))) % 0.38/0.55 (assume @p17 (forall @t7 (= (tptp.multiply @t3 @t5) (tptp.add @t13 @t14)))) % 0.38/0.55 (assume @p18 (forall @t4 (= (tptp.multiply @t11 @t2) (tptp.multiply @t1 (tptp.multiply @t2 @t2))))) % 0.38/0.55 (assume @p19 (forall @t7 (= (tptp.associator @t1 @t2 @t5) (tptp.add (tptp.multiply @t11 @t5) (tptp.additive_inverse (tptp.multiply @t1 @t14)))))) % 0.38/0.55 (assume @p20 (forall @t4 (= (tptp.commutator @t1 @t2) (tptp.add (tptp.multiply @t2 @t1) @t12)))) % 0.38/0.55 (assume @p21 @t17) % 0.38/0.55 (assume @p22 (not (= @t19 tptp.additive_identity))) % 0.38/0.55 (step @p23 :rule eq-symm :args (@t16 tptp.additive_identity)) % 0.38/0.55 (step @p24 :rule cong :premises (@p23) :args (@t17)) % 0.38/0.55 (step @p25 :rule eq_resolve :premises (@p21 @p24)) % 0.38/0.55 (step @p26 :rule symm :premises (@p22)) % 0.38/0.55 (assume-push @p34 @t20) % 0.38/0.55 (step @p28 :rule instantiate :premises (@p25) :args ((@list tptp.a tptp.b))) % 0.38/0.55 (step-pop @p35 :rule scope :premises (@p28)) % 0.38/0.55 (step @p29 :rule process_scope :premises (@p35) :args (@t21)) % 0.38/0.55 (step @p31 :rule implies_elim :premises (@p29)) % 0.38/0.55 (step @p32 :rule reordering :premises (@p31) :args ((or @t21 (not @t20)))) % 0.38/0.55 (step @p33 false :rule chain_m_resolution :premises (@p32 @p26 @p25) :args (false (@list true false) (@list @t21 @t20))) % 0.38/0.55 ) % 0.38/0.55 % SZS output end Proof % 0.38/0.55 % cvc5 exiting %------------------------------------------------------------------------------