%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : LAT271-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n006.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 11:44:41 AM UTC 2026
% Result : Unsatisfiable 0.13s 0.41s
% Output : Proof 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LAT271-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n006.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sun Sep 27 14:08:55 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.41 Command-line arguments: --lhs-weight 1 --flip-ordering --normalise-queue-percent 10 --cp-renormalise-threshold 10 --complete-subsets --ground-joining-incomplete-limit 15 --flatten-every 2
% 0.13/0.41
% 0.13/0.41 % SZS status Unsatisfiable
% 0.13/0.41
% 0.13/0.41 % SZS output start Proof
% 0.13/0.41 Axiom 1 (cls_conjecture_6): c_in(v_x, v_S, t_a) = true.
% 0.13/0.41 Axiom 2 (ifeq_axiom): ifeq(X, X, Y, Z) = Y.
% 0.13/0.41 Axiom 3 (cls_conjecture_2): c_lessequals(v_S, c_Tarski_Ointerval(v_r, v_a, v_b, t_a), tc_set(t_a)) = true.
% 0.13/0.41 Axiom 4 (cls_Tarski_O_91_124_AS1_A_60_61_Ainterval_Ar_Aa1_Ab1_59_Ax1_A_58_AS1_A_124_93_A_61_61_62_A_Ia1_M_Ax1_J_A_58_Ar_A_61_61_ATrue_0): ifeq(c_in(X, Y, Z), true, ifeq(c_lessequals(Y, c_Tarski_Ointerval(W, V, U, Z), tc_set(Z)), true, c_in(c_Pair(V, X, Z, Z), W, tc_prod(Z, Z)), true), true) = true.
% 0.13/0.41
% 0.13/0.41 Goal 1 (cls_conjecture_7): c_in(c_Pair(v_a, v_x, t_a, t_a), v_r, tc_prod(t_a, t_a)) = true.
% 0.13/0.41 Proof:
% 0.13/0.41 c_in(c_Pair(v_a, v_x, t_a, t_a), v_r, tc_prod(t_a, t_a))
% 0.13/0.41 = { by axiom 2 (ifeq_axiom) R->L }
% 0.13/0.41 ifeq(true, true, c_in(c_Pair(v_a, v_x, t_a, t_a), v_r, tc_prod(t_a, t_a)), true)
% 0.13/0.41 = { by axiom 1 (cls_conjecture_6) R->L }
% 0.13/0.41 ifeq(c_in(v_x, v_S, t_a), true, c_in(c_Pair(v_a, v_x, t_a, t_a), v_r, tc_prod(t_a, t_a)), true)
% 0.13/0.41 = { by axiom 2 (ifeq_axiom) R->L }
% 0.13/0.41 ifeq(c_in(v_x, v_S, t_a), true, ifeq(true, true, c_in(c_Pair(v_a, v_x, t_a, t_a), v_r, tc_prod(t_a, t_a)), true), true)
% 0.13/0.41 = { by axiom 3 (cls_conjecture_2) R->L }
% 0.13/0.41 ifeq(c_in(v_x, v_S, t_a), true, ifeq(c_lessequals(v_S, c_Tarski_Ointerval(v_r, v_a, v_b, t_a), tc_set(t_a)), true, c_in(c_Pair(v_a, v_x, t_a, t_a), v_r, tc_prod(t_a, t_a)), true), true)
% 0.13/0.41 = { by axiom 4 (cls_Tarski_O_91_124_AS1_A_60_61_Ainterval_Ar_Aa1_Ab1_59_Ax1_A_58_AS1_A_124_93_A_61_61_62_A_Ia1_M_Ax1_J_A_58_Ar_A_61_61_ATrue_0) }
% 0.13/0.41 true
% 0.13/0.41 % SZS output end Proof
% 0.13/0.41
% 0.13/0.41 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------