%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP034-4 : 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 : n015.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 08:19:39 AM UTC 2026 % Result : Unsatisfiable 0.30s 0.54s % Output : Proof 0.30s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP034-4 : 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 : n015.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 00:41:34 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... % 0.30/0.54 % SZS status Unsatisfiable % 0.30/0.54 % SZS output start Proof % 0.30/0.54 ( % 0.30/0.54 (declare-sort $$unsorted 0) % 0.30/0.54 (declare-const tptp.a $$unsorted) % 0.30/0.54 (declare-const tptp.subgroup_member (-> $$unsorted Bool)) % 0.30/0.54 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 0.30/0.54 (declare-const tptp.identity $$unsorted) % 0.30/0.54 (declare-const tptp.product (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.30/0.54 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 0.30/0.54 (define @t1 () (@var "Y" $$unsorted)) % 0.30/0.54 (define @t2 () (@var "X" $$unsorted)) % 0.30/0.54 (define @t3 () (@list @t2)) % 0.30/0.54 (define @t4 () (forall @t3 (tptp.product tptp.identity @t2 @t2))) % 0.30/0.54 (define @t5 () (@var "W" $$unsorted)) % 0.30/0.54 (define @t6 () (@var "V" $$unsorted)) % 0.30/0.54 (define @t7 () (tptp.product @t2 @t6 @t5)) % 0.30/0.54 (define @t8 () (@var "Z" $$unsorted)) % 0.30/0.54 (define @t9 () (@var "U" $$unsorted)) % 0.30/0.54 (define @t10 () (tptp.product @t9 @t8 @t5)) % 0.30/0.54 (define @t11 () (not (tptp.product @t1 @t8 @t6))) % 0.30/0.54 (define @t12 () (not (tptp.product @t2 @t1 @t9))) % 0.30/0.54 (define @t13 () (@list @t2 @t1 @t9 @t8 @t6 @t5)) % 0.30/0.54 (define @t14 () (@var "C" $$unsorted)) % 0.30/0.54 (define @t15 () (@var "A" $$unsorted)) % 0.30/0.54 (define @t16 () (@var "B" $$unsorted)) % 0.30/0.54 (define @t17 () (tptp.subgroup_member tptp.a)) % 0.30/0.54 (define @t18 () (tptp.inverse tptp.a)) % 0.30/0.54 (define @t19 () (tptp.subgroup_member @t18)) % 0.30/0.54 (define @t20 () (tptp.subgroup_member tptp.identity)) % 0.30/0.54 (define @t21 () (tptp.product tptp.a @t18 tptp.identity)) % 0.30/0.54 (define @t22 () (not @t21)) % 0.30/0.54 (define @t23 () (not @t17)) % 0.30/0.54 (define @t24 () (or @t23 @t23 @t22 @t20)) % 0.30/0.54 (define @t25 () (tptp.product tptp.identity @t18 @t18)) % 0.30/0.54 (define @t26 () (not @t25)) % 0.30/0.54 (define @t27 () (not @t20)) % 0.30/0.54 (define @t28 () (or @t23 @t27 @t26 @t19)) % 0.30/0.54 (assume @p1 (forall (@list @t2 @t1) (tptp.product @t2 @t1 (tptp.multiply @t2 @t1)))) % 0.30/0.54 (assume @p2 @t4) % 0.30/0.54 (assume @p3 (forall @t3 (tptp.product @t2 tptp.identity @t2))) % 0.30/0.54 (assume @p4 (forall @t3 (tptp.product @t2 (tptp.inverse @t2) tptp.identity))) % 0.30/0.54 (assume @p5 (forall @t13 (or @t12 @t11 (not @t10) @t7))) % 0.30/0.54 (assume @p6 (forall @t13 (or @t12 @t11 (not @t7) @t10))) % 0.30/0.54 (assume @p7 (forall (@list @t15 @t16 @t14) (or (not (tptp.subgroup_member @t15)) (not (tptp.subgroup_member @t16)) (not (tptp.product @t16 (tptp.inverse @t15) @t14)) (tptp.subgroup_member @t14)))) % 0.30/0.54 (assume @p8 @t17) % 0.30/0.54 (assume @p9 (not @t19)) % 0.30/0.54 (step @p10 :rule instantiate :premises (@p7) :args ((@list tptp.a tptp.identity @t18))) % 0.30/0.54 (step @p11 :rule instantiate :premises (@p7) :args ((@list tptp.a tptp.a tptp.identity))) % 0.30/0.54 (step @p12 :rule instantiate :premises (@p4) :args ((@list tptp.a))) % 0.30/0.54 (step @p13 :rule cnf_or_pos :args (@t24)) % 0.30/0.54 (step @p14 :rule factoring :premises (@p13)) % 0.30/0.54 (step @p15 :rule reordering :premises (@p14) :args ((or @t23 @t22 @t20 (not @t24)))) % 0.30/0.54 (step @p16 :rule chain_m_resolution :premises (@p15 @p8 @p12 @p11) :args (@t20 (@list false false false) (@list @t17 @t21 @t24))) % 0.30/0.54 (step @p17 :rule cnf_or_pos :args (@t28)) % 0.30/0.54 (step @p18 :rule reordering :premises (@p17) :args ((or @t19 @t23 @t27 @t26 (not @t28)))) % 0.30/0.54 (step @p19 :rule chain_m_resolution :premises (@p18 @p9 @p8 @p16 @p10) :args (@t26 (@list true false false false) (@list @t19 @t17 @t20 @t28))) % 0.30/0.54 (assume-push @p26 @t4) % 0.30/0.54 (step @p21 :rule instantiate :premises (@p2) :args ((@list @t18))) % 0.30/0.54 (step-pop @p27 :rule scope :premises (@p21)) % 0.30/0.54 (step @p22 :rule process_scope :premises (@p27) :args (@t25)) % 0.30/0.54 (step @p24 :rule implies_elim :premises (@p22)) % 0.30/0.54 (step @p25 false :rule chain_m_resolution :premises (@p24 @p19 @p2) :args (false (@list true false) (@list @t25 @t4))) % 0.30/0.54 ) % 0.30/0.55 % SZS output end Proof % 0.30/0.55 % cvc5 exiting %------------------------------------------------------------------------------