%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP036-3 : 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 : n029.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 08:19:40 AM UTC 2026 % Result : Unsatisfiable 0.35s 0.58s % Output : Proof 0.35s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP036-3 : TPTP v9.2.1. Released v1.0.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n029.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 00:41:32 EDT 2026 % 0.16/0.34 % CPUTime : % 0.26/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.26/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.35/0.58 % SZS status Unsatisfiable % 0.35/0.58 % SZS output start Proof % 0.35/0.59 ( % 0.35/0.59 (declare-sort $$unsorted 0) % 0.35/0.59 (declare-const tptp.another_identity $$unsorted) % 0.35/0.59 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.59 (declare-const tptp.subgroup_member (-> $$unsorted Bool)) % 0.35/0.59 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 0.35/0.59 (declare-const tptp.another_inverse (-> $$unsorted $$unsorted)) % 0.35/0.59 (declare-const tptp.product (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.35/0.59 (declare-const tptp.identity $$unsorted) % 0.35/0.59 (define @t1 () (@var "X" $$unsorted)) % 0.35/0.59 (define @t2 () (@list @t1)) % 0.35/0.59 (define @t3 () (forall @t2 (tptp.product tptp.identity @t1 @t1))) % 0.35/0.59 (define @t4 () (tptp.inverse @t1)) % 0.35/0.59 (define @t5 () (@var "Y" $$unsorted)) % 0.35/0.59 (define @t6 () (@var "W" $$unsorted)) % 0.35/0.59 (define @t7 () (@var "Z" $$unsorted)) % 0.35/0.59 (define @t8 () (@var "V" $$unsorted)) % 0.35/0.59 (define @t9 () (tptp.product @t1 @t8 @t6)) % 0.35/0.59 (define @t10 () (@var "U" $$unsorted)) % 0.35/0.59 (define @t11 () (tptp.product @t10 @t7 @t6)) % 0.35/0.59 (define @t12 () (not (tptp.product @t5 @t7 @t8))) % 0.35/0.59 (define @t13 () (not (tptp.product @t1 @t5 @t10))) % 0.35/0.59 (define @t14 () (@list @t1 @t5 @t10 @t7 @t8 @t6)) % 0.35/0.59 (define @t15 () (@var "C" $$unsorted)) % 0.35/0.59 (define @t16 () (@var "B" $$unsorted)) % 0.35/0.59 (define @t17 () (@var "A" $$unsorted)) % 0.35/0.59 (define @t18 () (not (tptp.subgroup_member @t17))) % 0.35/0.59 (define @t19 () (@list @t17)) % 0.35/0.59 (define @t20 () (tptp.another_inverse @t17)) % 0.35/0.59 (define @t21 () (tptp.subgroup_member tptp.another_identity)) % 0.35/0.59 (define @t22 () (= tptp.identity tptp.another_identity)) % 0.35/0.59 (define @t23 () (@list tptp.identity)) % 0.35/0.59 (define @t24 () (@list tptp.another_identity)) % 0.35/0.59 (define @t25 () (tptp.subgroup_member tptp.identity)) % 0.35/0.59 (define @t26 () (tptp.product tptp.another_identity (tptp.inverse tptp.another_identity) tptp.identity)) % 0.35/0.59 (define @t27 () (not @t26)) % 0.35/0.59 (define @t28 () (not @t21)) % 0.35/0.59 (define @t29 () (or @t28 @t28 @t27 @t25)) % 0.35/0.59 (define @t30 () (tptp.product tptp.identity tptp.another_identity tptp.identity)) % 0.35/0.59 (define @t31 () (not @t25)) % 0.35/0.59 (define @t32 () (or @t31 @t30)) % 0.35/0.59 (define @t33 () (tptp.product tptp.identity tptp.identity tptp.another_identity)) % 0.35/0.59 (define @t34 () (not @t33)) % 0.35/0.59 (define @t35 () (tptp.product tptp.identity tptp.identity tptp.identity)) % 0.35/0.59 (define @t36 () (not @t35)) % 0.35/0.59 (define @t37 () (or @t36 @t34 @t22)) % 0.35/0.59 (define @t38 () (tptp.product tptp.identity tptp.another_identity tptp.another_identity)) % 0.35/0.59 (define @t39 () (not @t38)) % 0.35/0.59 (define @t40 () (not @t30)) % 0.35/0.59 (define @t41 () (or @t36 @t40 @t39 @t33)) % 0.35/0.59 (assume @p1 @t3) % 0.35/0.59 (assume @p2 (forall @t2 (tptp.product @t1 tptp.identity @t1))) % 0.35/0.59 (assume @p3 (forall @t2 (tptp.product @t4 @t1 tptp.identity))) % 0.35/0.59 (assume @p4 (forall @t2 (tptp.product @t1 @t4 tptp.identity))) % 0.35/0.59 (assume @p5 (forall (@list @t1 @t5) (tptp.product @t1 @t5 (tptp.multiply @t1 @t5)))) % 0.35/0.59 (assume @p6 (forall (@list @t1 @t5 @t7 @t6) (or (not (tptp.product @t1 @t5 @t7)) (not (tptp.product @t1 @t5 @t6)) (= @t7 @t6)))) % 0.35/0.59 (assume @p7 (forall @t14 (or @t13 @t12 (not @t11) @t9))) % 0.35/0.59 (assume @p8 (forall @t14 (or @t13 @t12 (not @t9) @t11))) % 0.35/0.59 (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)))) % 0.35/0.59 (assume @p10 (forall @t19 (or @t18 (tptp.product tptp.another_identity @t17 @t17)))) % 0.35/0.59 (assume @p11 (forall @t19 (or @t18 (tptp.product @t17 tptp.another_identity @t17)))) % 0.35/0.59 (assume @p12 (forall @t19 (or @t18 (tptp.product @t17 @t20 tptp.another_identity)))) % 0.35/0.59 (assume @p13 (forall @t19 (or @t18 (tptp.product @t20 @t17 tptp.another_identity)))) % 0.35/0.59 (assume @p14 (forall @t19 (or @t18 (tptp.subgroup_member @t20)))) % 0.35/0.59 (assume @p15 @t21) % 0.35/0.59 (assume @p16 (not @t22)) % 0.35/0.59 (step @p17 :rule instantiate :premises (@p7) :args ((@list tptp.identity tptp.identity tptp.identity tptp.another_identity tptp.identity tptp.another_identity))) % 0.35/0.59 (step @p18 :rule instantiate :premises (@p11) :args (@t23)) % 0.35/0.59 (step @p19 :rule instantiate :premises (@p9) :args ((@list tptp.another_identity tptp.another_identity tptp.identity))) % 0.35/0.59 (step @p20 :rule instantiate :premises (@p4) :args (@t24)) % 0.35/0.59 (step @p21 :rule cnf_or_pos :args (@t29)) % 0.35/0.59 (step @p22 :rule factoring :premises (@p21)) % 0.35/0.59 (step @p23 :rule reordering :premises (@p22) :args ((or @t28 @t25 @t27 (not @t29)))) % 0.35/0.59 (step @p24 :rule chain_m_resolution :premises (@p23 @p15 @p20 @p19) :args (@t25 (@list false false false) (@list @t21 @t26 @t29))) % 0.35/0.59 (step @p25 :rule cnf_or_pos :args (@t32)) % 0.35/0.59 (step @p26 :rule reordering :premises (@p25) :args ((or @t31 @t30 (not @t32)))) % 0.35/0.59 (step @p27 :rule chain_m_resolution :premises (@p26 @p24 @p18) :args (@t30 (@list false false) (@list @t25 @t32))) % 0.35/0.59 (step @p28 :rule instantiate :premises (@p6) :args ((@list tptp.identity tptp.identity tptp.identity tptp.another_identity))) % 0.35/0.59 (step @p29 :rule instantiate :premises (@p1) :args (@t23)) % 0.35/0.59 (step @p30 :rule cnf_or_pos :args (@t37)) % 0.35/0.59 (step @p31 :rule reordering :premises (@p30) :args ((or @t22 @t36 @t34 (not @t37)))) % 0.35/0.59 (step @p32 :rule chain_m_resolution :premises (@p31 @p16 @p29 @p28) :args (@t34 (@list true false false) (@list @t22 @t35 @t37))) % 0.35/0.59 (step @p33 :rule cnf_or_pos :args (@t41)) % 0.35/0.59 (step @p34 :rule reordering :premises (@p33) :args ((or @t36 @t33 @t40 @t39 (not @t41)))) % 0.35/0.59 (step @p35 :rule chain_m_resolution :premises (@p34 @p29 @p32 @p27 @p17) :args (@t39 (@list false true false false) (@list @t35 @t33 @t30 @t41))) % 0.35/0.59 (assume-push @p42 @t3) % 0.35/0.59 (step @p37 :rule instantiate :premises (@p1) :args (@t24)) % 0.35/0.59 (step-pop @p43 :rule scope :premises (@p37)) % 0.35/0.59 (step @p38 :rule process_scope :premises (@p43) :args (@t38)) % 0.35/0.59 (step @p40 :rule implies_elim :premises (@p38)) % 0.35/0.59 (step @p41 false :rule chain_m_resolution :premises (@p40 @p35 @p1) :args (false (@list true false) (@list @t38 @t3))) % 0.35/0.59 ) % 0.35/0.59 % SZS output end Proof % 0.35/0.59 % cvc5 exiting %------------------------------------------------------------------------------