%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : SYN101-1.002.002 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n010.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 01:47:05 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 : SYN101-1.002.002 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.15 % Computer : n010.cluster.edu
% 0.09/0.15 % Model : x86_64 x86_64
% 0.09/0.15 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.15 % Memory : 8046.5625MB
% 0.09/0.15 % OS : Linux 6.8.0-71-generic
% 0.09/0.15 % CPULimit : 300
% 0.09/0.15 % WCLimit : 300
% 0.09/0.15 % DateTime : Mon Sep 28 15:34:17 UTC 2026
% 0.09/0.16 % CPUTime :
% 0.09/0.16 Running run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.23 Command-line arguments: --flatten-regeneralise
% 0.09/0.23
% 0.09/0.23 % SZS status Unsatisfiable
% 0.09/0.23
% 0.09/0.23 % SZS output start Proof
% 0.09/0.23 Axiom 1 (n_3): nq_2(a) = true.
% 0.09/0.23 Axiom 2 (n_1): nq_1(a) = true.
% 0.09/0.23 Axiom 3 (ifeq_axiom): ifeq(X, X, Y, Z) = Y.
% 0.09/0.23 Axiom 4 (n_t2_3): ifeq(nq_2(X), true, ifeq(nq_1(Y), true, p_2_2(Y, X), true), true) = true.
% 0.09/0.23 Axiom 5 (n_t2_1): ifeq(nq_2(X), true, ifeq(nq_1(Y), true, p_1_1(Y, X), true), true) = true.
% 0.09/0.23 Axiom 6 (n_s2_type11_1): ifeq(p_1_1(X, Y), true, ifeq(p_2_2(X, Y), true, p_1_2(X, Y), true), true) = true.
% 0.09/0.23
% 0.09/0.23 Goal 1 (n_s2_goal_1): p_1_2(a, a) = true.
% 0.09/0.23 Proof:
% 0.09/0.23 p_1_2(a, a)
% 0.09/0.23 = { by axiom 3 (ifeq_axiom) R->L }
% 0.09/0.23 ifeq(true, true, p_1_2(a, a), true)
% 0.09/0.23 = { by axiom 4 (n_t2_3) R->L }
% 0.09/0.23 ifeq(ifeq(nq_2(a), true, ifeq(nq_1(a), true, p_2_2(a, a), true), true), true, p_1_2(a, a), true)
% 0.09/0.23 = { by axiom 1 (n_3) }
% 0.09/0.23 ifeq(ifeq(true, true, ifeq(nq_1(a), true, p_2_2(a, a), true), true), true, p_1_2(a, a), true)
% 0.09/0.23 = { by axiom 3 (ifeq_axiom) }
% 0.09/0.23 ifeq(ifeq(nq_1(a), true, p_2_2(a, a), true), true, p_1_2(a, a), true)
% 0.09/0.23 = { by axiom 2 (n_1) }
% 0.09/0.23 ifeq(ifeq(true, true, p_2_2(a, a), true), true, p_1_2(a, a), true)
% 0.09/0.23 = { by axiom 3 (ifeq_axiom) }
% 0.09/0.23 ifeq(p_2_2(a, a), true, p_1_2(a, a), true)
% 0.09/0.23 = { by axiom 3 (ifeq_axiom) R->L }
% 0.09/0.23 ifeq(true, true, ifeq(p_2_2(a, a), true, p_1_2(a, a), true), true)
% 0.09/0.23 = { by axiom 5 (n_t2_1) R->L }
% 0.09/0.23 ifeq(ifeq(nq_2(a), true, ifeq(nq_1(a), true, p_1_1(a, a), true), true), true, ifeq(p_2_2(a, a), true, p_1_2(a, a), true), true)
% 0.09/0.23 = { by axiom 1 (n_3) }
% 0.09/0.23 ifeq(ifeq(true, true, ifeq(nq_1(a), true, p_1_1(a, a), true), true), true, ifeq(p_2_2(a, a), true, p_1_2(a, a), true), true)
% 0.09/0.23 = { by axiom 3 (ifeq_axiom) }
% 0.09/0.23 ifeq(ifeq(nq_1(a), true, p_1_1(a, a), true), true, ifeq(p_2_2(a, a), true, p_1_2(a, a), true), true)
% 0.09/0.23 = { by axiom 2 (n_1) }
% 0.09/0.23 ifeq(ifeq(true, true, p_1_1(a, a), true), true, ifeq(p_2_2(a, a), true, p_1_2(a, a), true), true)
% 0.09/0.23 = { by axiom 3 (ifeq_axiom) }
% 0.09/0.23 ifeq(p_1_1(a, a), true, ifeq(p_2_2(a, a), true, p_1_2(a, a), true), true)
% 0.09/0.23 = { by axiom 6 (n_s2_type11_1) }
% 0.09/0.23 true
% 0.09/0.23 % SZS output end Proof
% 0.09/0.23
% 0.09/0.23 RESULT: Unsatisfiable (the axioms are contradictory).
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