%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP035-3 : 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 : n010.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 8.01s 8.21s % Output : Proof 8.01s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP035-3 : 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 % 0.15/0.34 % Computer : n010.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 00:41:10 EDT 2026 % 0.15/0.34 % CPUTime : % 0.26/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.26/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 8.01/8.21 % SZS status Unsatisfiable % 8.01/8.21 % SZS output start Proof % 8.01/8.21 ( % 8.01/8.21 (declare-sort $$unsorted 0) % 8.01/8.21 (declare-const tptp.c $$unsorted) % 8.01/8.21 (declare-const tptp.b $$unsorted) % 8.01/8.21 (declare-const tptp.a $$unsorted) % 8.01/8.21 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 8.01/8.21 (declare-const tptp.subgroup_member (-> $$unsorted Bool)) % 8.01/8.21 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 8.01/8.21 (declare-const tptp.product (-> $$unsorted $$unsorted $$unsorted Bool)) % 8.01/8.21 (declare-const tptp.identity $$unsorted) % 8.01/8.21 (define @t1 () (@var "X" $$unsorted)) % 8.01/8.21 (define @t2 () (@list @t1)) % 8.01/8.21 (define @t3 () (tptp.inverse @t1)) % 8.01/8.21 (define @t4 () (@var "Y" $$unsorted)) % 8.01/8.21 (define @t5 () (@var "W" $$unsorted)) % 8.01/8.21 (define @t6 () (@var "Z" $$unsorted)) % 8.01/8.21 (define @t7 () (@var "V" $$unsorted)) % 8.01/8.21 (define @t8 () (tptp.product @t1 @t7 @t5)) % 8.01/8.21 (define @t9 () (@var "U" $$unsorted)) % 8.01/8.21 (define @t10 () (tptp.product @t9 @t6 @t5)) % 8.01/8.21 (define @t11 () (not (tptp.product @t4 @t6 @t7))) % 8.01/8.21 (define @t12 () (not (tptp.product @t1 @t4 @t9))) % 8.01/8.21 (define @t13 () (@list @t1 @t4 @t9 @t6 @t7 @t5)) % 8.01/8.21 (define @t14 () (forall @t13 (or @t12 @t11 (not @t8) @t10))) % 8.01/8.21 (define @t15 () (@var "C" $$unsorted)) % 8.01/8.21 (define @t16 () (@var "B" $$unsorted)) % 8.01/8.21 (define @t17 () (@var "A" $$unsorted)) % 8.01/8.21 (define @t18 () (tptp.subgroup_member tptp.a)) % 8.01/8.21 (define @t19 () (tptp.subgroup_member tptp.b)) % 8.01/8.21 (define @t20 () (tptp.product tptp.a tptp.b tptp.c)) % 8.01/8.21 (define @t21 () (tptp.subgroup_member tptp.c)) % 8.01/8.21 (define @t22 () (tptp.inverse tptp.b)) % 8.01/8.21 (define @t23 () (tptp.inverse @t22)) % 8.01/8.21 (define @t24 () (@list @t22)) % 8.01/8.21 (define @t25 () (@list tptp.b)) % 8.01/8.21 (define @t26 () (tptp.product tptp.identity @t23 tptp.b)) % 8.01/8.21 (define @t27 () (tptp.product tptp.b tptp.identity tptp.b)) % 8.01/8.21 (define @t28 () (not @t27)) % 8.01/8.21 (define @t29 () (tptp.product @t22 @t23 tptp.identity)) % 8.01/8.21 (define @t30 () (not @t29)) % 8.01/8.21 (define @t31 () (tptp.product tptp.b @t22 tptp.identity)) % 8.01/8.21 (define @t32 () (not @t31)) % 8.01/8.21 (define @t33 () (or @t32 @t30 @t28 @t26)) % 8.01/8.21 (define @t34 () (@list false false false false)) % 8.01/8.21 (define @t35 () (@list tptp.a)) % 8.01/8.21 (define @t36 () (tptp.subgroup_member tptp.identity)) % 8.01/8.21 (define @t37 () (tptp.product tptp.a (tptp.inverse tptp.a) tptp.identity)) % 8.01/8.21 (define @t38 () (not @t37)) % 8.01/8.21 (define @t39 () (not @t18)) % 8.01/8.21 (define @t40 () (or @t39 @t39 @t38 @t36)) % 8.01/8.21 (define @t41 () (tptp.subgroup_member @t22)) % 8.01/8.21 (define @t42 () (tptp.product tptp.identity @t22 @t22)) % 8.01/8.21 (define @t43 () (not @t42)) % 8.01/8.21 (define @t44 () (not @t19)) % 8.01/8.21 (define @t45 () (not @t36)) % 8.01/8.21 (define @t46 () (or @t45 @t44 @t43 @t41)) % 8.01/8.21 (define @t47 () (tptp.product tptp.a @t23 tptp.c)) % 8.01/8.21 (define @t48 () (not @t47)) % 8.01/8.21 (define @t49 () (not @t41)) % 8.01/8.21 (define @t50 () (or @t39 @t49 @t48 @t21)) % 8.01/8.21 (define @t51 () (not @t20)) % 8.01/8.21 (define @t52 () (not @t26)) % 8.01/8.21 (define @t53 () (tptp.product tptp.a tptp.identity tptp.a)) % 8.01/8.21 (define @t54 () (not @t53)) % 8.01/8.21 (define @t55 () (or @t54 @t52 @t51 @t47)) % 8.01/8.21 (define @t56 () (not @t55)) % 8.01/8.21 (assume @p1 (forall @t2 (tptp.product tptp.identity @t1 @t1))) % 8.01/8.21 (assume @p2 (forall @t2 (tptp.product @t1 tptp.identity @t1))) % 8.01/8.21 (assume @p3 (forall @t2 (tptp.product @t3 @t1 tptp.identity))) % 8.01/8.21 (assume @p4 (forall @t2 (tptp.product @t1 @t3 tptp.identity))) % 8.01/8.21 (assume @p5 (forall (@list @t1 @t4) (tptp.product @t1 @t4 (tptp.multiply @t1 @t4)))) % 8.01/8.21 (assume @p6 (forall (@list @t1 @t4 @t6 @t5) (or (not (tptp.product @t1 @t4 @t6)) (not (tptp.product @t1 @t4 @t5)) (= @t6 @t5)))) % 8.01/8.21 (assume @p7 (forall @t13 (or @t12 @t11 (not @t10) @t8))) % 8.01/8.21 (assume @p8 @t14) % 8.01/8.21 (assume @p9 (forall (@list @t17 @t16 @t15) (or (not (tptp.subgroup_member @t17)) (not (tptp.subgroup_member @t16)) (not (tptp.product @t17 (tptp.inverse @t16) @t15)) (tptp.subgroup_member @t15)))) % 8.01/8.21 (assume @p10 @t18) % 8.01/8.21 (assume @p11 @t19) % 8.01/8.21 (assume @p12 @t20) % 8.01/8.21 (assume @p13 (not @t21)) % 8.01/8.21 (step @p14 :rule instantiate :premises (@p8) :args ((@list tptp.b @t22 tptp.identity @t23 tptp.identity tptp.b))) % 8.01/8.21 (step @p15 :rule instantiate :premises (@p4) :args (@t24)) % 8.01/8.21 (step @p16 :rule instantiate :premises (@p2) :args (@t25)) % 8.01/8.21 (step @p17 :rule instantiate :premises (@p4) :args (@t25)) % 8.01/8.21 (step @p18 :rule cnf_or_pos :args (@t33)) % 8.01/8.21 (step @p19 :rule reordering :premises (@p18) :args ((or @t32 @t28 @t30 @t26 (not @t33)))) % 8.01/8.21 (step @p20 :rule chain_m_resolution :premises (@p19 @p17 @p16 @p15 @p14) :args (@t26 @t34 (@list @t31 @t27 @t29 @t33))) % 8.01/8.21 (step @p21 :rule instantiate :premises (@p9) :args ((@list tptp.a @t22 tptp.c))) % 8.01/8.21 (step @p22 :rule instantiate :premises (@p9) :args ((@list tptp.identity tptp.b @t22))) % 8.01/8.21 (step @p23 :rule instantiate :premises (@p1) :args (@t24)) % 8.01/8.21 (step @p24 :rule instantiate :premises (@p9) :args ((@list tptp.a tptp.a tptp.identity))) % 8.01/8.21 (step @p25 :rule instantiate :premises (@p4) :args (@t35)) % 8.01/8.21 (step @p26 :rule cnf_or_pos :args (@t40)) % 8.01/8.21 (step @p27 :rule factoring :premises (@p26)) % 8.01/8.21 (step @p28 :rule reordering :premises (@p27) :args ((or @t39 @t36 @t38 (not @t40)))) % 8.01/8.21 (step @p29 :rule chain_m_resolution :premises (@p28 @p10 @p25 @p24) :args (@t36 (@list false false false) (@list @t18 @t37 @t40))) % 8.01/8.21 (step @p30 :rule cnf_or_pos :args (@t46)) % 8.01/8.21 (step @p31 :rule reordering :premises (@p30) :args ((or @t44 @t45 @t43 @t41 (not @t46)))) % 8.01/8.21 (step @p32 :rule chain_m_resolution :premises (@p31 @p11 @p29 @p23 @p22) :args (@t41 @t34 (@list @t19 @t36 @t42 @t46))) % 8.01/8.21 (step @p33 :rule cnf_or_pos :args (@t50)) % 8.01/8.21 (step @p34 :rule reordering :premises (@p33) :args ((or @t21 @t39 @t49 @t48 (not @t50)))) % 8.01/8.21 (step @p35 :rule chain_m_resolution :premises (@p34 @p13 @p10 @p32 @p21) :args (@t48 (@list true false false false) (@list @t21 @t18 @t41 @t50))) % 8.01/8.21 (step @p36 :rule instantiate :premises (@p2) :args (@t35)) % 8.01/8.21 (step @p37 :rule cnf_or_pos :args (@t55)) % 8.01/8.21 (step @p38 :rule reordering :premises (@p37) :args ((or @t51 @t54 @t47 @t52 @t56))) % 8.01/8.21 (step @p39 :rule chain_m_resolution :premises (@p38 @p12 @p36 @p35 @p20) :args (@t56 (@list false false true false) (@list @t20 @t53 @t47 @t26))) % 8.01/8.21 (assume-push @p46 @t14) % 8.01/8.21 (step @p41 :rule instantiate :premises (@p8) :args ((@list tptp.a tptp.identity tptp.a @t23 tptp.b tptp.c))) % 8.01/8.21 (step-pop @p47 :rule scope :premises (@p41)) % 8.01/8.21 (step @p42 :rule process_scope :premises (@p47) :args (@t55)) % 8.01/8.21 (step @p44 :rule implies_elim :premises (@p42)) % 8.01/8.21 (step @p45 false :rule chain_m_resolution :premises (@p44 @p39 @p8) :args (false (@list true false) (@list @t55 @t14))) % 8.01/8.21 ) % 8.01/8.21 % SZS output end Proof % 8.01/8.21 % cvc5 exiting %------------------------------------------------------------------------------