%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : MSC005-1 : TPTP v9.3.1. Released v1.0.0.
% 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 12:04:41 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.44s
% Output : Proof 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MSC005-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.35 % Computer : n015.cluster.edu
% 0.07/0.35 % Model : x86_64 x86_64
% 0.07/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35 % Memory : 8046.5625MB
% 0.07/0.35 % OS : Linux 6.8.0-71-generic
% 0.07/0.35 % CPULimit : 300
% 0.07/0.35 % WCLimit : 300
% 0.07/0.35 % DateTime : Sun Sep 27 17:43:45 UTC 2026
% 0.07/0.36 % CPUTime :
% 0.07/0.36 Running run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.44 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
% 0.13/0.44
% 0.13/0.44 % SZS status Unsatisfiable
% 0.13/0.44
% 0.13/0.45 % SZS output start Proof
% 0.13/0.45 Axiom 1 (false_is_false): value(falsity, falsity) = true.
% 0.13/0.45 Axiom 2 (true_is_true): value(truth, truth) = true.
% 0.13/0.45 Axiom 3 (ifeq_axiom): ifeq(X, X, Y, Z) = Y.
% 0.13/0.45 Axiom 4 (false_xor_false): ifeq(value(X, falsity), true, ifeq(value(Y, falsity), true, value(xor(Y, X), falsity), true), true) = true.
% 0.13/0.45 Axiom 5 (true_xor_false): ifeq(value(X, falsity), true, ifeq(value(Y, truth), true, value(xor(Y, X), truth), true), true) = true.
% 0.13/0.45 Axiom 6 (true_xor_true): ifeq(value(X, truth), true, ifeq(value(Y, truth), true, value(xor(Y, X), falsity), true), true) = true.
% 0.13/0.45
% 0.13/0.45 Goal 1 (evaluate_expression): value(xor(xor(xor(xor(truth, falsity), falsity), truth), falsity), X) = true.
% 0.13/0.45 The goal is true when:
% 0.13/0.45 X = falsity
% 0.13/0.45
% 0.13/0.45 Proof:
% 0.13/0.45 value(xor(xor(xor(xor(truth, falsity), falsity), truth), falsity), falsity)
% 0.13/0.45 = { by axiom 3 (ifeq_axiom) R->L }
% 0.13/0.45 ifeq(true, true, value(xor(xor(xor(xor(truth, falsity), falsity), truth), falsity), falsity), true)
% 0.13/0.45 = { by axiom 6 (true_xor_true) R->L }
% 0.13/0.45 ifeq(ifeq(value(truth, truth), true, ifeq(value(xor(xor(truth, falsity), falsity), truth), true, value(xor(xor(xor(truth, falsity), falsity), truth), falsity), true), true), true, value(xor(xor(xor(xor(truth, falsity), falsity), truth), falsity), falsity), true)
% 0.13/0.45 = { by axiom 2 (true_is_true) }
% 0.13/0.45 ifeq(ifeq(true, true, ifeq(value(xor(xor(truth, falsity), falsity), truth), true, value(xor(xor(xor(truth, falsity), falsity), truth), falsity), true), true), true, value(xor(xor(xor(xor(truth, falsity), falsity), truth), falsity), falsity), true)
% 0.13/0.45 = { by axiom 3 (ifeq_axiom) }
% 0.13/0.45 ifeq(ifeq(value(xor(xor(truth, falsity), falsity), truth), true, value(xor(xor(xor(truth, falsity), falsity), truth), falsity), true), true, value(xor(xor(xor(xor(truth, falsity), falsity), truth), falsity), falsity), true)
% 0.13/0.45 = { by axiom 3 (ifeq_axiom) R->L }
% 0.13/0.45 ifeq(ifeq(ifeq(true, true, value(xor(xor(truth, falsity), falsity), truth), true), true, value(xor(xor(xor(truth, falsity), falsity), truth), falsity), true), true, value(xor(xor(xor(xor(truth, falsity), falsity), truth), falsity), falsity), true)
% 0.13/0.45 = { by axiom 5 (true_xor_false) R->L }
% 0.13/0.45 ifeq(ifeq(ifeq(ifeq(value(falsity, falsity), true, ifeq(value(truth, truth), true, value(xor(truth, falsity), truth), true), true), true, value(xor(xor(truth, falsity), falsity), truth), true), true, value(xor(xor(xor(truth, falsity), falsity), truth), falsity), true), true, value(xor(xor(xor(xor(truth, falsity), falsity), truth), falsity), falsity), true)
% 0.13/0.45 = { by axiom 1 (false_is_false) }
% 0.13/0.45 ifeq(ifeq(ifeq(ifeq(true, true, ifeq(value(truth, truth), true, value(xor(truth, falsity), truth), true), true), true, value(xor(xor(truth, falsity), falsity), truth), true), true, value(xor(xor(xor(truth, falsity), falsity), truth), falsity), true), true, value(xor(xor(xor(xor(truth, falsity), falsity), truth), falsity), falsity), true)
% 0.13/0.45 = { by axiom 3 (ifeq_axiom) }
% 0.13/0.45 ifeq(ifeq(ifeq(ifeq(value(truth, truth), true, value(xor(truth, falsity), truth), true), true, value(xor(xor(truth, falsity), falsity), truth), true), true, value(xor(xor(xor(truth, falsity), falsity), truth), falsity), true), true, value(xor(xor(xor(xor(truth, falsity), falsity), truth), falsity), falsity), true)
% 0.13/0.45 = { by axiom 2 (true_is_true) }
% 0.13/0.45 ifeq(ifeq(ifeq(ifeq(true, true, value(xor(truth, falsity), truth), true), true, value(xor(xor(truth, falsity), falsity), truth), true), true, value(xor(xor(xor(truth, falsity), falsity), truth), falsity), true), true, value(xor(xor(xor(xor(truth, falsity), falsity), truth), falsity), falsity), true)
% 0.13/0.45 = { by axiom 3 (ifeq_axiom) }
% 0.13/0.45 ifeq(ifeq(ifeq(value(xor(truth, falsity), truth), true, value(xor(xor(truth, falsity), falsity), truth), true), true, value(xor(xor(xor(truth, falsity), falsity), truth), falsity), true), true, value(xor(xor(xor(xor(truth, falsity), falsity), truth), falsity), falsity), true)
% 0.13/0.45 = { by axiom 3 (ifeq_axiom) R->L }
% 0.13/0.45 ifeq(ifeq(ifeq(true, true, ifeq(value(xor(truth, falsity), truth), true, value(xor(xor(truth, falsity), falsity), truth), true), true), true, value(xor(xor(xor(truth, falsity), falsity), truth), falsity), true), true, value(xor(xor(xor(xor(truth, falsity), falsity), truth), falsity), falsity), true)
% 0.13/0.45 = { by axiom 1 (false_is_false) R->L }
% 0.13/0.45 ifeq(ifeq(ifeq(value(falsity, falsity), true, ifeq(value(xor(truth, falsity), truth), true, value(xor(xor(truth, falsity), falsity), truth), true), true), true, value(xor(xor(xor(truth, falsity), falsity), truth), falsity), true), true, value(xor(xor(xor(xor(truth, falsity), falsity), truth), falsity), falsity), true)
% 0.13/0.45 = { by axiom 5 (true_xor_false) }
% 0.13/0.45 ifeq(ifeq(true, true, value(xor(xor(xor(truth, falsity), falsity), truth), falsity), true), true, value(xor(xor(xor(xor(truth, falsity), falsity), truth), falsity), falsity), true)
% 0.13/0.45 = { by axiom 3 (ifeq_axiom) }
% 0.13/0.45 ifeq(value(xor(xor(xor(truth, falsity), falsity), truth), falsity), true, value(xor(xor(xor(xor(truth, falsity), falsity), truth), falsity), falsity), true)
% 0.13/0.45 = { by axiom 3 (ifeq_axiom) R->L }
% 0.13/0.45 ifeq(true, true, ifeq(value(xor(xor(xor(truth, falsity), falsity), truth), falsity), true, value(xor(xor(xor(xor(truth, falsity), falsity), truth), falsity), falsity), true), true)
% 0.13/0.45 = { by axiom 1 (false_is_false) R->L }
% 0.13/0.45 ifeq(value(falsity, falsity), true, ifeq(value(xor(xor(xor(truth, falsity), falsity), truth), falsity), true, value(xor(xor(xor(xor(truth, falsity), falsity), truth), falsity), falsity), true), true)
% 0.13/0.45 = { by axiom 4 (false_xor_false) }
% 0.13/0.45 true
% 0.13/0.45 % SZS output end Proof
% 0.13/0.45
% 0.13/0.45 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------