%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : GRP038-3 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 10:09:07 AM UTC 2026
% Result : Unsatisfiable 0.18s 0.47s
% Output : Proof 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP038-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.39 % Computer : n007.cluster.edu
% 0.09/0.39 % Model : x86_64 x86_64
% 0.09/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.39 % Memory : 8046.5625MB
% 0.09/0.39 % OS : Linux 6.8.0-71-generic
% 0.09/0.39 % CPULimit : 300
% 0.09/0.39 % WCLimit : 300
% 0.09/0.39 % DateTime : Sun Sep 27 09:14:09 UTC 2026
% 0.09/0.39 % CPUTime :
% 0.09/0.39 Running run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.47 Command-line arguments: --lhs-weight 9 --flip-ordering --complete-subsets --normalise-queue-percent 10 --cp-renormalise-threshold 10
% 0.18/0.47
% 0.18/0.47 % SZS status Unsatisfiable
% 0.18/0.47
% 0.18/0.48 % SZS output start Proof
% 0.18/0.48 Axiom 1 (a_is_in_subgroup): subgroup_member(a) = true.
% 0.18/0.48 Axiom 2 (b_is_in_subgroup): subgroup_member(b) = true.
% 0.18/0.48 Axiom 3 (a_times_inverse_b_is_c): product(a, inverse(b), c) = true.
% 0.18/0.48 Axiom 4 (ifeq_axiom): ifeq(X, X, Y, Z) = Y.
% 0.18/0.48 Axiom 5 (closure_of_product_and_inverse): ifeq(subgroup_member(X), true, ifeq(subgroup_member(Y), true, ifeq(product(Y, inverse(X), Z), true, subgroup_member(Z), true), true), true) = true.
% 0.18/0.48
% 0.18/0.48 Goal 1 (prove_c_is_in_subgroup): subgroup_member(c) = true.
% 0.18/0.48 Proof:
% 0.18/0.48 subgroup_member(c)
% 0.18/0.48 = { by axiom 4 (ifeq_axiom) R->L }
% 0.18/0.48 ifeq(true, true, subgroup_member(c), true)
% 0.18/0.48 = { by axiom 4 (ifeq_axiom) R->L }
% 0.18/0.48 ifeq(true, true, ifeq(true, true, subgroup_member(c), true), true)
% 0.18/0.48 = { by axiom 1 (a_is_in_subgroup) R->L }
% 0.18/0.48 ifeq(subgroup_member(a), true, ifeq(true, true, subgroup_member(c), true), true)
% 0.18/0.48 = { by axiom 4 (ifeq_axiom) R->L }
% 0.18/0.48 ifeq(true, true, ifeq(subgroup_member(a), true, ifeq(true, true, subgroup_member(c), true), true), true)
% 0.18/0.48 = { by axiom 2 (b_is_in_subgroup) R->L }
% 0.18/0.48 ifeq(subgroup_member(b), true, ifeq(subgroup_member(a), true, ifeq(true, true, subgroup_member(c), true), true), true)
% 0.18/0.48 = { by axiom 3 (a_times_inverse_b_is_c) R->L }
% 0.18/0.48 ifeq(subgroup_member(b), true, ifeq(subgroup_member(a), true, ifeq(product(a, inverse(b), c), true, subgroup_member(c), true), true), true)
% 0.18/0.48 = { by axiom 5 (closure_of_product_and_inverse) }
% 0.18/0.48 true
% 0.18/0.48 % SZS output end Proof
% 0.18/0.48
% 0.18/0.48 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------