%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP033-3 : TPTP v9.2.1. Bugfixed v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n016.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 15.32s 15.57s % Output : Proof 15.32s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP033-3 : TPTP v9.2.1. Bugfixed v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n016.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 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Tue Jun 2 00:41:54 EDT 2026 % 0.16/0.35 % CPUTime : % 0.29/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.29/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.32/15.55 --- Run --no-e-matching --full-saturate-quant at 6... % 15.32/15.57 % SZS status Unsatisfiable % 15.32/15.57 % SZS output start Proof % 15.32/15.57 ( % 15.32/15.57 (declare-sort $$unsorted 0) % 15.32/15.57 (declare-const tptp.j (-> $$unsorted $$unsorted)) % 15.32/15.57 (declare-const tptp.a $$unsorted) % 15.32/15.57 (declare-const tptp.product (-> $$unsorted $$unsorted $$unsorted Bool)) % 15.32/15.57 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 15.32/15.57 (declare-const tptp.subgroup_member (-> $$unsorted Bool)) % 15.32/15.57 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 15.32/15.57 (declare-const tptp.identity $$unsorted) % 15.32/15.57 (declare-const tptp.equalish (-> $$unsorted $$unsorted Bool)) % 15.32/15.57 (define @t1 () (@var "X" $$unsorted)) % 15.32/15.57 (define @t2 () (@list @t1)) % 15.32/15.57 (define @t3 () (@var "Y" $$unsorted)) % 15.32/15.57 (define @t4 () (not (tptp.equalish @t1 @t3))) % 15.32/15.57 (define @t5 () (@list @t1 @t3)) % 15.32/15.57 (define @t6 () (@var "Z" $$unsorted)) % 15.32/15.57 (define @t7 () (tptp.inverse @t1)) % 15.32/15.57 (define @t8 () (@var "W" $$unsorted)) % 15.32/15.57 (define @t9 () (@list @t1 @t3 @t8)) % 15.32/15.57 (define @t10 () (@list @t1 @t3 @t8 @t6)) % 15.32/15.57 (define @t11 () (@var "B" $$unsorted)) % 15.32/15.57 (define @t12 () (tptp.subgroup_member @t11)) % 15.32/15.57 (define @t13 () (@var "A" $$unsorted)) % 15.32/15.57 (define @t14 () (not (tptp.subgroup_member @t13))) % 15.32/15.57 (define @t15 () (forall @t2 (tptp.product tptp.identity @t1 @t1))) % 15.32/15.57 (define @t16 () (@var "V" $$unsorted)) % 15.32/15.57 (define @t17 () (tptp.product @t1 @t16 @t8)) % 15.32/15.57 (define @t18 () (@var "U" $$unsorted)) % 15.32/15.57 (define @t19 () (tptp.product @t18 @t6 @t8)) % 15.32/15.57 (define @t20 () (not (tptp.product @t3 @t6 @t16))) % 15.32/15.57 (define @t21 () (not (tptp.product @t1 @t3 @t18))) % 15.32/15.57 (define @t22 () (@list @t1 @t3 @t18 @t6 @t16 @t8)) % 15.32/15.57 (define @t23 () (@var "C" $$unsorted)) % 15.32/15.57 (define @t24 () (tptp.subgroup_member tptp.a)) % 15.32/15.57 (define @t25 () (tptp.j @t13)) % 15.32/15.57 (define @t26 () (@list @t13)) % 15.32/15.57 (define @t27 () (tptp.j tptp.identity)) % 15.32/15.57 (define @t28 () (@list @t27)) % 15.32/15.57 (define @t29 () (tptp.subgroup_member tptp.identity)) % 15.32/15.57 (define @t30 () (tptp.product tptp.a (tptp.inverse tptp.a) tptp.identity)) % 15.32/15.57 (define @t31 () (not @t30)) % 15.32/15.57 (define @t32 () (not @t24)) % 15.32/15.57 (define @t33 () (or @t32 @t32 @t31 @t29)) % 15.32/15.57 (define @t34 () (@list false false false)) % 15.32/15.57 (define @t35 () (not @t29)) % 15.32/15.57 (define @t36 () (tptp.product tptp.identity @t27 @t27)) % 15.32/15.57 (define @t37 () (not @t36)) % 15.32/15.57 (define @t38 () (tptp.product @t27 tptp.identity @t27)) % 15.32/15.57 (define @t39 () (not @t38)) % 15.32/15.57 (define @t40 () (or @t39 @t37 @t35)) % 15.32/15.57 (assume @p1 (forall @t2 (tptp.equalish @t1 @t1))) % 15.32/15.57 (assume @p2 (forall @t5 (or @t4 (tptp.equalish @t3 @t1)))) % 15.32/15.57 (assume @p3 (forall (@list @t1 @t3 @t6) (or @t4 (not (tptp.equalish @t3 @t6)) (tptp.equalish @t1 @t6)))) % 15.32/15.57 (assume @p4 (forall @t5 (or @t4 (tptp.equalish @t7 (tptp.inverse @t3))))) % 15.32/15.57 (assume @p5 (forall @t9 (or @t4 (tptp.equalish (tptp.multiply @t1 @t8) (tptp.multiply @t3 @t8))))) % 15.32/15.57 (assume @p6 (forall @t9 (or @t4 (tptp.equalish (tptp.multiply @t8 @t1) (tptp.multiply @t8 @t3))))) % 15.32/15.57 (assume @p7 (forall @t10 (or @t4 (not (tptp.product @t1 @t8 @t6)) (tptp.product @t3 @t8 @t6)))) % 15.32/15.57 (assume @p8 (forall @t10 (or @t4 (not (tptp.product @t8 @t1 @t6)) (tptp.product @t8 @t3 @t6)))) % 15.32/15.57 (assume @p9 (forall @t10 (or @t4 (not (tptp.product @t8 @t6 @t1)) (tptp.product @t8 @t6 @t3)))) % 15.32/15.57 (assume @p10 (forall (@list @t13 @t11) (or (not (tptp.equalish @t13 @t11)) @t14 @t12))) % 15.32/15.57 (assume @p11 @t15) % 15.32/15.57 (assume @p12 (forall @t2 (tptp.product @t1 tptp.identity @t1))) % 15.32/15.57 (assume @p13 (forall @t2 (tptp.product @t7 @t1 tptp.identity))) % 15.32/15.57 (assume @p14 (forall @t2 (tptp.product @t1 @t7 tptp.identity))) % 15.32/15.57 (assume @p15 (forall @t5 (tptp.product @t1 @t3 (tptp.multiply @t1 @t3)))) % 15.32/15.57 (assume @p16 (forall (@list @t1 @t3 @t6 @t8) (or (not (tptp.product @t1 @t3 @t6)) (not (tptp.product @t1 @t3 @t8)) (tptp.equalish @t6 @t8)))) % 15.32/15.57 (assume @p17 (forall @t22 (or @t21 @t20 (not @t19) @t17))) % 15.32/15.57 (assume @p18 (forall @t22 (or @t21 @t20 (not @t17) @t19))) % 15.32/15.57 (assume @p19 (forall (@list @t13 @t11 @t23) (or @t14 (not @t12) (not (tptp.product @t13 (tptp.inverse @t11) @t23)) (tptp.subgroup_member @t23)))) % 15.32/15.57 (assume @p20 @t24) % 15.32/15.57 (assume @p21 (forall @t26 (or @t14 (tptp.subgroup_member @t25)))) % 15.32/15.57 (assume @p22 (forall @t26 (or (not (tptp.product @t25 @t13 @t25)) (not (tptp.product @t13 @t25 @t25)) @t14))) % 15.32/15.57 (step @p23 :rule instantiate :premises (@p22) :args ((@list tptp.identity))) % 15.32/15.57 (step @p24 :rule instantiate :premises (@p12) :args (@t28)) % 15.32/15.57 (step @p25 :rule instantiate :premises (@p19) :args ((@list tptp.a tptp.a tptp.identity))) % 15.32/15.57 (step @p26 :rule instantiate :premises (@p14) :args ((@list tptp.a))) % 15.32/15.57 (step @p27 :rule cnf_or_pos :args (@t33)) % 15.32/15.57 (step @p28 :rule factoring :premises (@p27)) % 15.32/15.57 (step @p29 :rule reordering :premises (@p28) :args ((or @t32 @t29 @t31 (not @t33)))) % 15.32/15.57 (step @p30 :rule chain_m_resolution :premises (@p29 @p20 @p26 @p25) :args (@t29 @t34 (@list @t24 @t30 @t33))) % 15.32/15.57 (step @p31 :rule cnf_or_pos :args (@t40)) % 15.32/15.57 (step @p32 :rule reordering :premises (@p31) :args ((or @t35 @t39 @t37 (not @t40)))) % 15.32/15.57 (step @p33 :rule chain_m_resolution :premises (@p32 @p30 @p24 @p23) :args (@t37 @t34 (@list @t29 @t38 @t40))) % 15.32/15.57 (assume-push @p40 @t15) % 15.32/15.57 (step @p35 :rule instantiate :premises (@p11) :args (@t28)) % 15.32/15.57 (step-pop @p41 :rule scope :premises (@p35)) % 15.32/15.57 (step @p36 :rule process_scope :premises (@p41) :args (@t36)) % 15.32/15.57 (step @p38 :rule implies_elim :premises (@p36)) % 15.32/15.57 (step @p39 false :rule chain_m_resolution :premises (@p38 @p33 @p11) :args (false (@list true false) (@list @t36 @t15))) % 15.32/15.57 ) % 15.32/15.58 % SZS output end Proof % 15.32/15.58 % cvc5 exiting %------------------------------------------------------------------------------