%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : SYN035-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n005.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 01:46:54 PM UTC 2026
% Result : Unsatisfiable 0.08s 0.25s
% Output : Proof 0.08s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN035-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.18 % Computer : n005.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Mon Sep 28 15:20:31 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.25 Command-line arguments: --lhs-weight 9 --flip-ordering --complete-subsets --normalise-queue-percent 10 --cp-renormalise-threshold 10
% 0.08/0.25
% 0.08/0.25 % SZS status Unsatisfiable
% 0.08/0.25
% 0.08/0.25 % SZS output start Proof
% 0.08/0.25 Axiom 1 (clause1): p(X, Y) = true.
% 0.08/0.25 Axiom 2 (ifeq_axiom): ifeq(X, X, Y, Z) = Y.
% 0.08/0.25 Axiom 3 (clause2): ifeq(p(f(X, Y), f(X, Y)), true, ifeq(p(Y, f(X, Y)), true, q(X, Y), true), true) = true.
% 0.08/0.25
% 0.08/0.25 Goal 1 (theorem): tuple(p(X, f(Y, X)), p(f(Y, X), f(Y, X)), q(Y, f(Y, X)), q(f(Y, X), f(Y, X))) = tuple(true, true, true, true).
% 0.08/0.25 The goal is true when:
% 0.08/0.25 X = Y
% 0.08/0.25 Y = X
% 0.08/0.25
% 0.08/0.25 Proof:
% 0.08/0.25 tuple(p(Y, f(X, Y)), p(f(X, Y), f(X, Y)), q(X, f(X, Y)), q(f(X, Y), f(X, Y)))
% 0.08/0.25 = { by axiom 1 (clause1) }
% 0.08/0.25 tuple(true, p(f(X, Y), f(X, Y)), q(X, f(X, Y)), q(f(X, Y), f(X, Y)))
% 0.08/0.25 = { by axiom 1 (clause1) }
% 0.08/0.25 tuple(true, true, q(X, f(X, Y)), q(f(X, Y), f(X, Y)))
% 0.08/0.25 = { by axiom 2 (ifeq_axiom) R->L }
% 0.08/0.25 tuple(true, true, ifeq(true, true, q(X, f(X, Y)), true), q(f(X, Y), f(X, Y)))
% 0.08/0.26 = { by axiom 1 (clause1) R->L }
% 0.08/0.26 tuple(true, true, ifeq(p(f(X, Y), f(X, f(X, Y))), true, q(X, f(X, Y)), true), q(f(X, Y), f(X, Y)))
% 0.08/0.26 = { by axiom 2 (ifeq_axiom) R->L }
% 0.08/0.26 tuple(true, true, ifeq(true, true, ifeq(p(f(X, Y), f(X, f(X, Y))), true, q(X, f(X, Y)), true), true), q(f(X, Y), f(X, Y)))
% 0.08/0.26 = { by axiom 1 (clause1) R->L }
% 0.08/0.26 tuple(true, true, ifeq(p(f(X, f(X, Y)), f(X, f(X, Y))), true, ifeq(p(f(X, Y), f(X, f(X, Y))), true, q(X, f(X, Y)), true), true), q(f(X, Y), f(X, Y)))
% 0.08/0.26 = { by axiom 3 (clause2) }
% 0.08/0.26 tuple(true, true, true, q(f(X, Y), f(X, Y)))
% 0.08/0.26 = { by axiom 2 (ifeq_axiom) R->L }
% 0.08/0.26 tuple(true, true, true, ifeq(true, true, q(f(X, Y), f(X, Y)), true))
% 0.08/0.26 = { by axiom 1 (clause1) R->L }
% 0.08/0.26 tuple(true, true, true, ifeq(p(f(X, Y), f(f(X, Y), f(X, Y))), true, q(f(X, Y), f(X, Y)), true))
% 0.08/0.26 = { by axiom 2 (ifeq_axiom) R->L }
% 0.08/0.26 tuple(true, true, true, ifeq(true, true, ifeq(p(f(X, Y), f(f(X, Y), f(X, Y))), true, q(f(X, Y), f(X, Y)), true), true))
% 0.08/0.26 = { by axiom 1 (clause1) R->L }
% 0.08/0.26 tuple(true, true, true, ifeq(p(f(f(X, Y), f(X, Y)), f(f(X, Y), f(X, Y))), true, ifeq(p(f(X, Y), f(f(X, Y), f(X, Y))), true, q(f(X, Y), f(X, Y)), true), true))
% 0.08/0.26 = { by axiom 3 (clause2) }
% 0.08/0.26 tuple(true, true, true, true)
% 0.08/0.26 % SZS output end Proof
% 0.08/0.26
% 0.08/0.26 RESULT: Unsatisfiable (the axioms are contradictory).
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