%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP043-2 : 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 : n009.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 08:19:41 AM UTC 2026 % Result : Unsatisfiable 0.38s 0.61s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP043-2 : 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 % 0.18/0.34 % Computer : n009.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 00:41:29 EDT 2026 % 0.18/0.34 % CPUTime : % 0.31/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.31/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.61 % SZS status Unsatisfiable % 0.38/0.61 % SZS output start Proof % 0.38/0.61 ( % 0.38/0.61 (declare-sort $$unsorted 0) % 0.38/0.61 (declare-const tptp.a $$unsorted) % 0.38/0.61 (declare-const tptp.b $$unsorted) % 0.38/0.61 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.61 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 0.38/0.61 (declare-const tptp.equalish (-> $$unsorted $$unsorted Bool)) % 0.38/0.61 (declare-const tptp.product (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.38/0.61 (declare-const tptp.c $$unsorted) % 0.38/0.61 (declare-const tptp.identity $$unsorted) % 0.38/0.61 (define @t1 () (@var "X" $$unsorted)) % 0.38/0.61 (define @t2 () (@list @t1)) % 0.38/0.61 (define @t3 () (@var "Y" $$unsorted)) % 0.38/0.61 (define @t4 () (@var "W" $$unsorted)) % 0.38/0.61 (define @t5 () (@var "Z" $$unsorted)) % 0.38/0.61 (define @t6 () (@var "V" $$unsorted)) % 0.38/0.61 (define @t7 () (tptp.product @t1 @t6 @t4)) % 0.38/0.61 (define @t8 () (@var "U" $$unsorted)) % 0.38/0.61 (define @t9 () (tptp.product @t8 @t5 @t4)) % 0.38/0.61 (define @t10 () (not (tptp.product @t3 @t5 @t6))) % 0.38/0.61 (define @t11 () (not (tptp.product @t1 @t3 @t8))) % 0.38/0.61 (define @t12 () (@list @t1 @t3 @t8 @t5 @t6 @t4)) % 0.38/0.61 (define @t13 () (forall (@list @t1 @t3 @t4 @t5) (or (not (tptp.equalish @t1 @t3)) (not (tptp.product @t4 @t5 @t1)) (tptp.product @t4 @t5 @t3)))) % 0.38/0.61 (define @t14 () (tptp.equalish tptp.a tptp.b)) % 0.38/0.61 (define @t15 () (tptp.equalish tptp.b tptp.c)) % 0.38/0.61 (define @t16 () (tptp.equalish tptp.a tptp.c)) % 0.38/0.61 (define @t17 () (tptp.product tptp.identity tptp.a tptp.c)) % 0.38/0.61 (define @t18 () (not @t17)) % 0.38/0.61 (define @t19 () (tptp.product tptp.identity tptp.a tptp.a)) % 0.38/0.61 (define @t20 () (not @t19)) % 0.38/0.61 (define @t21 () (or @t20 @t18 @t16)) % 0.38/0.61 (define @t22 () (tptp.product tptp.identity tptp.a tptp.b)) % 0.38/0.61 (define @t23 () (not @t22)) % 0.38/0.61 (define @t24 () (not @t15)) % 0.38/0.61 (define @t25 () (or @t24 @t23 @t17)) % 0.38/0.61 (define @t26 () (not @t14)) % 0.38/0.61 (define @t27 () (or @t26 @t20 @t22)) % 0.38/0.61 (define @t28 () (not @t27)) % 0.38/0.61 (assume @p1 (forall @t2 (tptp.product tptp.identity @t1 @t1))) % 0.38/0.61 (assume @p2 (forall @t2 (tptp.product (tptp.inverse @t1) @t1 tptp.identity))) % 0.38/0.61 (assume @p3 (forall (@list @t1 @t3) (tptp.product @t1 @t3 (tptp.multiply @t1 @t3)))) % 0.38/0.61 (assume @p4 (forall (@list @t1 @t3 @t5 @t4) (or (not (tptp.product @t1 @t3 @t5)) (not (tptp.product @t1 @t3 @t4)) (tptp.equalish @t5 @t4)))) % 0.38/0.61 (assume @p5 (forall @t12 (or @t11 @t10 (not @t9) @t7))) % 0.38/0.61 (assume @p6 (forall @t12 (or @t11 @t10 (not @t7) @t9))) % 0.38/0.61 (assume @p7 @t13) % 0.38/0.61 (assume @p8 @t14) % 0.38/0.61 (assume @p9 @t15) % 0.38/0.61 (assume @p10 (not @t16)) % 0.38/0.61 (step @p11 :rule instantiate :premises (@p7) :args ((@list tptp.b tptp.c tptp.identity tptp.a))) % 0.38/0.61 (step @p12 :rule instantiate :premises (@p4) :args ((@list tptp.identity tptp.a tptp.a tptp.c))) % 0.38/0.61 (step @p13 :rule instantiate :premises (@p1) :args ((@list tptp.a))) % 0.38/0.61 (step @p14 :rule cnf_or_pos :args (@t21)) % 0.38/0.61 (step @p15 :rule reordering :premises (@p14) :args ((or @t16 @t20 @t18 (not @t21)))) % 0.38/0.61 (step @p16 :rule chain_m_resolution :premises (@p15 @p10 @p13 @p12) :args (@t18 (@list true false false) (@list @t16 @t19 @t21))) % 0.38/0.61 (step @p17 :rule cnf_or_pos :args (@t25)) % 0.38/0.61 (step @p18 :rule reordering :premises (@p17) :args ((or @t24 @t17 @t23 (not @t25)))) % 0.38/0.61 (step @p19 :rule chain_m_resolution :premises (@p18 @p9 @p16 @p11) :args (@t23 (@list false true false) (@list @t15 @t17 @t25))) % 0.38/0.61 (step @p20 :rule cnf_or_pos :args (@t27)) % 0.38/0.61 (step @p21 :rule reordering :premises (@p20) :args ((or @t26 @t20 @t22 @t28))) % 0.38/0.61 (step @p22 :rule chain_m_resolution :premises (@p21 @p8 @p13 @p19) :args (@t28 (@list false false true) (@list @t14 @t19 @t22))) % 0.38/0.61 (assume-push @p29 @t13) % 0.38/0.61 (step @p24 :rule instantiate :premises (@p7) :args ((@list tptp.a tptp.b tptp.identity tptp.a))) % 0.38/0.61 (step-pop @p30 :rule scope :premises (@p24)) % 0.38/0.61 (step @p25 :rule process_scope :premises (@p30) :args (@t27)) % 0.38/0.61 (step @p27 :rule implies_elim :premises (@p25)) % 0.38/0.61 (step @p28 false :rule chain_m_resolution :premises (@p27 @p22 @p7) :args (false (@list true false) (@list @t27 @t13))) % 0.38/0.61 ) % 0.38/0.62 % SZS output end Proof % 0.38/0.62 % cvc5 exiting %------------------------------------------------------------------------------