%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : LCL169-3 : TPTP v9.3.1. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n015.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 11:49:11 AM UTC 2026
% Result : Unsatisfiable 0.22s 0.54s
% Output : Proof 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LCL169-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.07 % Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.43 % Computer : n015.cluster.edu
% 0.16/0.43 % Model : x86_64 x86_64
% 0.16/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.43 % Memory : 8046.5625MB
% 0.16/0.43 % OS : Linux 6.8.0-71-generic
% 0.16/0.43 % CPULimit : 300
% 0.16/0.43 % WCLimit : 300
% 0.16/0.43 % DateTime : Sun Sep 27 15:27:30 UTC 2026
% 0.16/0.43 % CPUTime :
% 0.16/0.43 Running run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.22/0.54 Command-line arguments: --flatten --complete-subsets
% 0.22/0.54
% 0.22/0.54 % SZS status Unsatisfiable
% 0.22/0.54
% 0.22/0.54 % SZS output start Proof
% 0.22/0.54 Axiom 1 (implies_definition): implies(X, Y) = or(not(X), Y).
% 0.22/0.54 Axiom 2 (ifeq_axiom): ifeq(X, X, Y, Z) = Y.
% 0.22/0.54 Axiom 3 (axiom_1_2): axiom(implies(or(X, X), X)) = true.
% 0.22/0.54 Axiom 4 (rule_1): ifeq(axiom(X), true, theorem(X), true) = true.
% 0.22/0.54
% 0.22/0.54 Goal 1 (prove_this): theorem(implies(implies(p, not(p)), not(p))) = true.
% 0.22/0.54 Proof:
% 0.22/0.54 theorem(implies(implies(p, not(p)), not(p)))
% 0.22/0.54 = { by axiom 2 (ifeq_axiom) R->L }
% 0.22/0.54 ifeq(true, true, theorem(implies(implies(p, not(p)), not(p))), true)
% 0.22/0.54 = { by axiom 3 (axiom_1_2) R->L }
% 0.22/0.54 ifeq(axiom(implies(or(not(p), not(p)), not(p))), true, theorem(implies(implies(p, not(p)), not(p))), true)
% 0.22/0.54 = { by axiom 1 (implies_definition) }
% 0.22/0.54 ifeq(axiom(or(not(or(not(p), not(p))), not(p))), true, theorem(implies(implies(p, not(p)), not(p))), true)
% 0.22/0.54 = { by axiom 1 (implies_definition) R->L }
% 0.22/0.54 ifeq(axiom(or(not(implies(p, not(p))), not(p))), true, theorem(implies(implies(p, not(p)), not(p))), true)
% 0.22/0.54 = { by axiom 1 (implies_definition) R->L }
% 0.22/0.54 ifeq(axiom(implies(implies(p, not(p)), not(p))), true, theorem(implies(implies(p, not(p)), not(p))), true)
% 0.22/0.54 = { by axiom 4 (rule_1) }
% 0.22/0.54 true
% 0.22/0.54 % SZS output end Proof
% 0.22/0.54
% 0.22/0.54 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------