%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : SYN333-1 : TPTP v9.3.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n014.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 01:47:34 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.23s
% Output : Proof 0.09s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN333-1 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.03 % Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.16 % Computer : n014.cluster.edu
% 0.09/0.16 % Model : x86_64 x86_64
% 0.09/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.16 % Memory : 8046.5625MB
% 0.09/0.16 % OS : Linux 6.8.0-71-generic
% 0.09/0.16 % CPULimit : 300
% 0.09/0.16 % WCLimit : 300
% 0.09/0.16 % DateTime : Mon Sep 28 15:45:30 UTC 2026
% 0.09/0.17 % CPUTime :
% 0.09/0.17 Running run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.23 Command-line arguments: --no-flatten-goal
% 0.09/0.23
% 0.09/0.23 % SZS status Unsatisfiable
% 0.09/0.23
% 0.09/0.24 % SZS output start Proof
% 0.09/0.24 Axiom 1 (clause1): f(X, Y) = true.
% 0.09/0.24 Axiom 2 (ifeq_axiom): ifeq(X, X, Y, Z) = Y.
% 0.09/0.24 Axiom 3 (clause2): ifeq(f(z(X, Y), z(X, Y)), true, ifeq(f(Y, z(X, Y)), true, g(X, Y), true), true) = true.
% 0.09/0.24
% 0.09/0.24 Goal 1 (clause3): tuple(f(X, z(Y, X)), f(z(Y, X), z(Y, X)), g(Y, z(Y, X)), g(z(Y, X), z(Y, X))) = tuple(true, true, true, true).
% 0.09/0.24 The goal is true when:
% 0.09/0.24 X = Y
% 0.09/0.24 Y = X
% 0.09/0.24
% 0.09/0.24 Proof:
% 0.09/0.24 tuple(f(Y, z(X, Y)), f(z(X, Y), z(X, Y)), g(X, z(X, Y)), g(z(X, Y), z(X, Y)))
% 0.09/0.24 = { by axiom 1 (clause1) }
% 0.09/0.24 tuple(true, f(z(X, Y), z(X, Y)), g(X, z(X, Y)), g(z(X, Y), z(X, Y)))
% 0.09/0.24 = { by axiom 1 (clause1) }
% 0.09/0.24 tuple(true, true, g(X, z(X, Y)), g(z(X, Y), z(X, Y)))
% 0.09/0.24 = { by axiom 2 (ifeq_axiom) R->L }
% 0.09/0.25 tuple(true, true, ifeq(true, true, g(X, z(X, Y)), true), g(z(X, Y), z(X, Y)))
% 0.09/0.25 = { by axiom 1 (clause1) R->L }
% 0.09/0.25 tuple(true, true, ifeq(f(z(X, Y), z(X, z(X, Y))), true, g(X, z(X, Y)), true), g(z(X, Y), z(X, Y)))
% 0.09/0.25 = { by axiom 2 (ifeq_axiom) R->L }
% 0.09/0.25 tuple(true, true, ifeq(true, true, ifeq(f(z(X, Y), z(X, z(X, Y))), true, g(X, z(X, Y)), true), true), g(z(X, Y), z(X, Y)))
% 0.09/0.25 = { by axiom 1 (clause1) R->L }
% 0.09/0.25 tuple(true, true, ifeq(f(z(X, z(X, Y)), z(X, z(X, Y))), true, ifeq(f(z(X, Y), z(X, z(X, Y))), true, g(X, z(X, Y)), true), true), g(z(X, Y), z(X, Y)))
% 0.09/0.25 = { by axiom 3 (clause2) }
% 0.09/0.25 tuple(true, true, true, g(z(X, Y), z(X, Y)))
% 0.09/0.25 = { by axiom 2 (ifeq_axiom) R->L }
% 0.09/0.25 tuple(true, true, true, ifeq(true, true, g(z(X, Y), z(X, Y)), true))
% 0.09/0.25 = { by axiom 1 (clause1) R->L }
% 0.09/0.25 tuple(true, true, true, ifeq(f(z(X, Y), z(z(X, Y), z(X, Y))), true, g(z(X, Y), z(X, Y)), true))
% 0.09/0.25 = { by axiom 2 (ifeq_axiom) R->L }
% 0.09/0.25 tuple(true, true, true, ifeq(true, true, ifeq(f(z(X, Y), z(z(X, Y), z(X, Y))), true, g(z(X, Y), z(X, Y)), true), true))
% 0.09/0.25 = { by axiom 1 (clause1) R->L }
% 0.09/0.25 tuple(true, true, true, ifeq(f(z(z(X, Y), z(X, Y)), z(z(X, Y), z(X, Y))), true, ifeq(f(z(X, Y), z(z(X, Y), z(X, Y))), true, g(z(X, Y), z(X, Y)), true), true))
% 0.09/0.25 = { by axiom 3 (clause2) }
% 0.09/0.25 tuple(true, true, true, true)
% 0.09/0.25 % SZS output end Proof
% 0.09/0.25
% 0.09/0.25 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------