%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : LCL360-1 : TPTP v9.3.1. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox2/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 11:49:39 AM UTC 2026
% Result : Unsatisfiable 0.20s 0.56s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : LCL360-1 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.06 % Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.42 % Computer : n026.cluster.edu
% 0.15/0.42 % Model : x86_64 x86_64
% 0.15/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.42 % Memory : 8046.5625MB
% 0.15/0.42 % OS : Linux 6.8.0-71-generic
% 0.15/0.42 % CPULimit : 300
% 0.15/0.42 % WCLimit : 300
% 0.15/0.42 % DateTime : Sun Sep 27 15:39:11 UTC 2026
% 0.15/0.43 % CPUTime :
% 0.15/0.43 Running run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.56 Command-line arguments: --no-flatten-goal
% 0.20/0.56
% 0.20/0.56 % SZS status Unsatisfiable
% 0.20/0.56
% 0.20/0.56 % SZS output start Proof
% 0.20/0.56 Axiom 1 (ifeq_axiom): ifeq(X, X, Y, Z) = Y.
% 0.20/0.56 Axiom 2 (cn_3): is_a_theorem(implies(X, implies(not(X), Y))) = true.
% 0.20/0.56 Axiom 3 (condensed_detachment): ifeq(is_a_theorem(implies(X, Y)), true, ifeq(is_a_theorem(X), true, is_a_theorem(Y), true), true) = true.
% 0.20/0.56 Axiom 4 (cn_1): is_a_theorem(implies(implies(X, Y), implies(implies(Y, Z), implies(X, Z)))) = true.
% 0.20/0.56
% 0.20/0.56 Goal 1 (prove_cn_09): is_a_theorem(implies(implies(implies(not(x), y), z), implies(x, z))) = true.
% 0.20/0.56 Proof:
% 0.20/0.56 is_a_theorem(implies(implies(implies(not(x), y), z), implies(x, z)))
% 0.20/0.56 = { by axiom 1 (ifeq_axiom) R->L }
% 0.20/0.56 ifeq(true, true, is_a_theorem(implies(implies(implies(not(x), y), z), implies(x, z))), true)
% 0.20/0.56 = { by axiom 4 (cn_1) R->L }
% 0.20/0.56 ifeq(is_a_theorem(implies(implies(x, implies(not(x), y)), implies(implies(implies(not(x), y), z), implies(x, z)))), true, is_a_theorem(implies(implies(implies(not(x), y), z), implies(x, z))), true)
% 0.20/0.56 = { by axiom 1 (ifeq_axiom) R->L }
% 0.20/0.56 ifeq(is_a_theorem(implies(implies(x, implies(not(x), y)), implies(implies(implies(not(x), y), z), implies(x, z)))), true, ifeq(true, true, is_a_theorem(implies(implies(implies(not(x), y), z), implies(x, z))), true), true)
% 0.20/0.56 = { by axiom 2 (cn_3) R->L }
% 0.20/0.56 ifeq(is_a_theorem(implies(implies(x, implies(not(x), y)), implies(implies(implies(not(x), y), z), implies(x, z)))), true, ifeq(is_a_theorem(implies(x, implies(not(x), y))), true, is_a_theorem(implies(implies(implies(not(x), y), z), implies(x, z))), true), true)
% 0.20/0.56 = { by axiom 3 (condensed_detachment) }
% 0.20/0.56 true
% 0.20/0.56 % SZS output end Proof
% 0.20/0.56
% 0.20/0.56 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------