%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP032-3 : 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 : n020.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 0.31s 0.55s % Output : Proof 0.31s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP032-3 : TPTP v9.2.1. Released v1.0.0. % 0.00/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.33 % Computer : n020.cluster.edu % 0.16/0.33 % Model : x86_64 x86_64 % 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.33 % Memory : 8042.1875MB % 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.33 % CPULimit : 300 % 0.16/0.33 % WCLimit : 300 % 0.16/0.33 % DateTime : Tue Jun 2 00:41:40 EDT 2026 % 0.16/0.34 % CPUTime : % 0.31/0.48 %----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... % 0.31/0.55 % SZS status Unsatisfiable % 0.31/0.55 % SZS output start Proof % 0.31/0.55 ( % 0.31/0.55 (declare-sort $$unsorted 0) % 0.31/0.55 (declare-const tptp.a $$unsorted) % 0.31/0.55 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 0.31/0.55 (declare-const tptp.subgroup_member (-> $$unsorted Bool)) % 0.31/0.55 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 0.31/0.55 (declare-const tptp.product (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.31/0.55 (declare-const tptp.identity $$unsorted) % 0.31/0.55 (define @t1 () (@var "X" $$unsorted)) % 0.31/0.55 (define @t2 () (@list @t1)) % 0.31/0.55 (define @t3 () (tptp.inverse @t1)) % 0.31/0.55 (define @t4 () (@var "Y" $$unsorted)) % 0.31/0.55 (define @t5 () (@var "W" $$unsorted)) % 0.31/0.55 (define @t6 () (@var "Z" $$unsorted)) % 0.31/0.55 (define @t7 () (@var "V" $$unsorted)) % 0.31/0.55 (define @t8 () (tptp.product @t1 @t7 @t5)) % 0.31/0.55 (define @t9 () (@var "U" $$unsorted)) % 0.31/0.55 (define @t10 () (tptp.product @t9 @t6 @t5)) % 0.31/0.55 (define @t11 () (not (tptp.product @t4 @t6 @t7))) % 0.31/0.55 (define @t12 () (not (tptp.product @t1 @t4 @t9))) % 0.31/0.55 (define @t13 () (@list @t1 @t4 @t9 @t6 @t7 @t5)) % 0.31/0.55 (define @t14 () (@var "C" $$unsorted)) % 0.31/0.55 (define @t15 () (@var "B" $$unsorted)) % 0.31/0.55 (define @t16 () (@var "A" $$unsorted)) % 0.31/0.55 (define @t17 () (forall (@list @t16 @t15 @t14) (or (not (tptp.subgroup_member @t16)) (not (tptp.subgroup_member @t15)) (not (tptp.product @t16 (tptp.inverse @t15) @t14)) (tptp.subgroup_member @t14)))) % 0.31/0.55 (define @t18 () (tptp.subgroup_member tptp.a)) % 0.31/0.55 (define @t19 () (tptp.subgroup_member tptp.identity)) % 0.31/0.55 (define @t20 () (tptp.product tptp.a (tptp.inverse tptp.a) tptp.identity)) % 0.31/0.55 (define @t21 () (not @t20)) % 0.31/0.55 (define @t22 () (not @t18)) % 0.31/0.55 (define @t23 () (or @t22 @t22 @t21 @t19)) % 0.31/0.55 (define @t24 () (not @t23)) % 0.31/0.55 (assume @p1 (forall @t2 (tptp.product tptp.identity @t1 @t1))) % 0.31/0.55 (assume @p2 (forall @t2 (tptp.product @t1 tptp.identity @t1))) % 0.31/0.55 (assume @p3 (forall @t2 (tptp.product @t3 @t1 tptp.identity))) % 0.31/0.55 (assume @p4 (forall @t2 (tptp.product @t1 @t3 tptp.identity))) % 0.31/0.55 (assume @p5 (forall (@list @t1 @t4) (tptp.product @t1 @t4 (tptp.multiply @t1 @t4)))) % 0.31/0.55 (assume @p6 (forall (@list @t1 @t4 @t6 @t5) (or (not (tptp.product @t1 @t4 @t6)) (not (tptp.product @t1 @t4 @t5)) (= @t6 @t5)))) % 0.31/0.55 (assume @p7 (forall @t13 (or @t12 @t11 (not @t10) @t8))) % 0.31/0.55 (assume @p8 (forall @t13 (or @t12 @t11 (not @t8) @t10))) % 0.31/0.55 (assume @p9 @t17) % 0.31/0.55 (assume @p10 @t18) % 0.31/0.55 (assume @p11 (not @t19)) % 0.31/0.55 (step @p12 :rule instantiate :premises (@p4) :args ((@list tptp.a))) % 0.31/0.55 (step @p13 :rule cnf_or_pos :args (@t23)) % 0.31/0.55 (step @p14 :rule factoring :premises (@p13)) % 0.31/0.55 (step @p15 :rule reordering :premises (@p14) :args ((or @t19 @t22 @t21 @t24))) % 0.31/0.55 (step @p16 :rule chain_m_resolution :premises (@p15 @p11 @p10 @p12) :args (@t24 (@list true false false) (@list @t19 @t18 @t20))) % 0.31/0.55 (assume-push @p23 @t17) % 0.31/0.55 (step @p18 :rule instantiate :premises (@p9) :args ((@list tptp.a tptp.a tptp.identity))) % 0.31/0.55 (step-pop @p24 :rule scope :premises (@p18)) % 0.31/0.55 (step @p19 :rule process_scope :premises (@p24) :args (@t23)) % 0.31/0.55 (step @p21 :rule implies_elim :premises (@p19)) % 0.31/0.55 (step @p22 false :rule chain_m_resolution :premises (@p21 @p16 @p9) :args (false (@list true false) (@list @t23 @t17))) % 0.31/0.55 ) % 0.31/0.55 % SZS output end Proof % 0.31/0.55 % cvc5 exiting %------------------------------------------------------------------------------