%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP033-4 : 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 : 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 15.33s 15.99s % Output : Proof 15.33s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP033-4 : 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 % 0.17/0.34 % Computer : n020.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 00:41:40 EDT 2026 % 0.17/0.35 % 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... % 15.33/15.94 --- Run --no-e-matching --full-saturate-quant at 6... % 15.33/15.99 % SZS status Unsatisfiable % 15.33/15.99 % SZS output start Proof % 15.33/15.99 ( % 15.33/15.99 (declare-sort $$unsorted 0) % 15.33/15.99 (declare-const tptp.j (-> $$unsorted $$unsorted)) % 15.33/15.99 (declare-const tptp.a $$unsorted) % 15.33/15.99 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 15.33/15.99 (declare-const tptp.subgroup_member (-> $$unsorted Bool)) % 15.33/15.99 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 15.33/15.99 (declare-const tptp.product (-> $$unsorted $$unsorted $$unsorted Bool)) % 15.33/15.99 (declare-const tptp.identity $$unsorted) % 15.33/15.99 (define @t1 () (@var "X" $$unsorted)) % 15.33/15.99 (define @t2 () (@list @t1)) % 15.33/15.99 (define @t3 () (forall @t2 (tptp.product tptp.identity @t1 @t1))) % 15.33/15.99 (define @t4 () (tptp.inverse @t1)) % 15.33/15.99 (define @t5 () (@var "Y" $$unsorted)) % 15.33/15.99 (define @t6 () (@var "W" $$unsorted)) % 15.33/15.99 (define @t7 () (@var "Z" $$unsorted)) % 15.33/15.99 (define @t8 () (@var "V" $$unsorted)) % 15.33/15.99 (define @t9 () (tptp.product @t1 @t8 @t6)) % 15.33/15.99 (define @t10 () (@var "U" $$unsorted)) % 15.33/15.99 (define @t11 () (tptp.product @t10 @t7 @t6)) % 15.33/15.99 (define @t12 () (not (tptp.product @t5 @t7 @t8))) % 15.33/15.99 (define @t13 () (not (tptp.product @t1 @t5 @t10))) % 15.33/15.99 (define @t14 () (@list @t1 @t5 @t10 @t7 @t8 @t6)) % 15.33/15.99 (define @t15 () (@var "C" $$unsorted)) % 15.33/15.99 (define @t16 () (@var "B" $$unsorted)) % 15.33/15.99 (define @t17 () (@var "A" $$unsorted)) % 15.33/15.99 (define @t18 () (not (tptp.subgroup_member @t17))) % 15.33/15.99 (define @t19 () (tptp.subgroup_member tptp.a)) % 15.33/15.99 (define @t20 () (tptp.j @t17)) % 15.33/15.99 (define @t21 () (@list @t17)) % 15.33/15.99 (define @t22 () (tptp.j tptp.identity)) % 15.33/15.99 (define @t23 () (@list @t22)) % 15.33/15.99 (define @t24 () (tptp.subgroup_member tptp.identity)) % 15.33/15.99 (define @t25 () (tptp.product tptp.a (tptp.inverse tptp.a) tptp.identity)) % 15.33/15.99 (define @t26 () (not @t25)) % 15.33/15.99 (define @t27 () (not @t19)) % 15.33/15.99 (define @t28 () (or @t27 @t27 @t26 @t24)) % 15.33/15.99 (define @t29 () (@list false false false)) % 15.33/15.99 (define @t30 () (not @t24)) % 15.33/15.99 (define @t31 () (tptp.product tptp.identity @t22 @t22)) % 15.33/15.99 (define @t32 () (not @t31)) % 15.33/15.99 (define @t33 () (tptp.product @t22 tptp.identity @t22)) % 15.33/15.99 (define @t34 () (not @t33)) % 15.33/15.99 (define @t35 () (or @t34 @t32 @t30)) % 15.33/15.99 (assume @p1 @t3) % 15.33/15.99 (assume @p2 (forall @t2 (tptp.product @t1 tptp.identity @t1))) % 15.33/15.99 (assume @p3 (forall @t2 (tptp.product @t4 @t1 tptp.identity))) % 15.33/15.99 (assume @p4 (forall @t2 (tptp.product @t1 @t4 tptp.identity))) % 15.33/15.99 (assume @p5 (forall (@list @t1 @t5) (tptp.product @t1 @t5 (tptp.multiply @t1 @t5)))) % 15.33/15.99 (assume @p6 (forall (@list @t1 @t5 @t7 @t6) (or (not (tptp.product @t1 @t5 @t7)) (not (tptp.product @t1 @t5 @t6)) (= @t7 @t6)))) % 15.33/15.99 (assume @p7 (forall @t14 (or @t13 @t12 (not @t11) @t9))) % 15.33/15.99 (assume @p8 (forall @t14 (or @t13 @t12 (not @t9) @t11))) % 15.33/15.99 (assume @p9 (forall (@list @t17 @t16 @t15) (or @t18 (not (tptp.subgroup_member @t16)) (not (tptp.product @t17 (tptp.inverse @t16) @t15)) (tptp.subgroup_member @t15)))) % 15.33/15.99 (assume @p10 @t19) % 15.33/15.99 (assume @p11 (forall @t21 (or @t18 (tptp.subgroup_member @t20)))) % 15.33/15.99 (assume @p12 (forall @t21 (or (not (tptp.product @t20 @t17 @t20)) (not (tptp.product @t17 @t20 @t20)) @t18))) % 15.33/15.99 (step @p13 :rule instantiate :premises (@p12) :args ((@list tptp.identity))) % 15.33/15.99 (step @p14 :rule instantiate :premises (@p2) :args (@t23)) % 15.33/15.99 (step @p15 :rule instantiate :premises (@p9) :args ((@list tptp.a tptp.a tptp.identity))) % 15.33/15.99 (step @p16 :rule instantiate :premises (@p4) :args ((@list tptp.a))) % 15.33/15.99 (step @p17 :rule cnf_or_pos :args (@t28)) % 15.33/15.99 (step @p18 :rule factoring :premises (@p17)) % 15.33/15.99 (step @p19 :rule reordering :premises (@p18) :args ((or @t27 @t24 @t26 (not @t28)))) % 15.33/15.99 (step @p20 :rule chain_m_resolution :premises (@p19 @p10 @p16 @p15) :args (@t24 @t29 (@list @t19 @t25 @t28))) % 15.33/15.99 (step @p21 :rule cnf_or_pos :args (@t35)) % 15.33/15.99 (step @p22 :rule reordering :premises (@p21) :args ((or @t30 @t34 @t32 (not @t35)))) % 15.33/15.99 (step @p23 :rule chain_m_resolution :premises (@p22 @p20 @p14 @p13) :args (@t32 @t29 (@list @t24 @t33 @t35))) % 15.33/15.99 (assume-push @p30 @t3) % 15.33/15.99 (step @p25 :rule instantiate :premises (@p1) :args (@t23)) % 15.33/15.99 (step-pop @p31 :rule scope :premises (@p25)) % 15.33/15.99 (step @p26 :rule process_scope :premises (@p31) :args (@t31)) % 15.33/15.99 (step @p28 :rule implies_elim :premises (@p26)) % 15.33/15.99 (step @p29 false :rule chain_m_resolution :premises (@p28 @p23 @p1) :args (false (@list true false) (@list @t31 @t3))) % 15.33/15.99 ) % 15.33/15.99 % SZS output end Proof % 15.33/15.99 % cvc5 exiting %------------------------------------------------------------------------------