%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : GEO079-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n026.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 09:50:15 AM UTC 2026
% Result : Unsatisfiable 0.17s 0.46s
% Output : Proof 0.17s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO079-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.38 % Computer : n026.cluster.edu
% 0.08/0.38 % Model : x86_64 x86_64
% 0.08/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.38 % Memory : 8046.5625MB
% 0.08/0.38 % OS : Linux 6.8.0-71-generic
% 0.08/0.38 % CPULimit : 300
% 0.08/0.38 % WCLimit : 300
% 0.08/0.38 % DateTime : Sun Sep 27 06:55:56 UTC 2026
% 0.08/0.38 % CPUTime :
% 0.08/0.38 Running run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.46 Command-line arguments: --no-flatten-goal
% 0.17/0.46
% 0.17/0.46 % SZS status Unsatisfiable
% 0.17/0.46
% 0.17/0.46 % SZS output start Proof
% 0.17/0.46 Axiom 1 (a_trapezoid): trapezoid(a, b, c, d) = true.
% 0.17/0.46 Axiom 2 (ifeq_axiom): ifeq(X, X, Y, Z) = Y.
% 0.17/0.46 Axiom 3 (trapezoid_definition): ifeq(trapezoid(X, Y, Z, W), true, parallel(Y, Z, X, W), true) = true.
% 0.17/0.46 Axiom 4 (interior_angles_are_equal): ifeq(parallel(X, Y, Z, W), true, eq(Z, Y, X, Y, Z, W), true) = true.
% 0.17/0.46
% 0.17/0.46 Goal 1 (prove_angles_equal): eq(a, c, b, c, a, d) = true.
% 0.17/0.46 Proof:
% 0.17/0.46 eq(a, c, b, c, a, d)
% 0.17/0.46 = { by axiom 2 (ifeq_axiom) R->L }
% 0.17/0.46 ifeq(true, true, eq(a, c, b, c, a, d), true)
% 0.17/0.46 = { by axiom 3 (trapezoid_definition) R->L }
% 0.17/0.46 ifeq(ifeq(trapezoid(a, b, c, d), true, parallel(b, c, a, d), true), true, eq(a, c, b, c, a, d), true)
% 0.17/0.46 = { by axiom 1 (a_trapezoid) }
% 0.17/0.46 ifeq(ifeq(true, true, parallel(b, c, a, d), true), true, eq(a, c, b, c, a, d), true)
% 0.17/0.46 = { by axiom 2 (ifeq_axiom) }
% 0.17/0.46 ifeq(parallel(b, c, a, d), true, eq(a, c, b, c, a, d), true)
% 0.17/0.46 = { by axiom 4 (interior_angles_are_equal) }
% 0.17/0.46 true
% 0.17/0.46 % SZS output end Proof
% 0.17/0.46
% 0.17/0.46 RESULT: Unsatisfiable (the axioms are contradictory).
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