%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : SYN561-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n017.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 01:48:06 PM UTC 2026
% Result : Unsatisfiable 0.20s 0.31s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN561-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.17 % Computer : n017.cluster.edu
% 0.07/0.17 % Model : x86_64 x86_64
% 0.07/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.17 % Memory : 8046.5625MB
% 0.07/0.17 % OS : Linux 6.8.0-71-generic
% 0.07/0.17 % CPULimit : 300
% 0.07/0.17 % WCLimit : 300
% 0.07/0.17 % DateTime : Mon Sep 28 16:24:51 UTC 2026
% 0.07/0.17 % CPUTime :
% 0.07/0.17 Running run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.31 Command-line arguments: --lhs-weight 9 --flip-ordering --complete-subsets --normalise-queue-percent 10 --cp-renormalise-threshold 10
% 0.20/0.31
% 0.20/0.31 % SZS status Unsatisfiable
% 0.20/0.31
% 0.20/0.32 % SZS output start Proof
% 0.20/0.32 Axiom 1 (p2_1): p2(X, X) = true.
% 0.20/0.32 Axiom 2 (p9_2): p9(c14, c10) = true.
% 0.20/0.32 Axiom 3 (p8_3): p8(c11, c14) = true.
% 0.20/0.32 Axiom 4 (p2_4): p2(f7(c10, c14), c15) = true.
% 0.20/0.32 Axiom 5 (p2_5): p2(f6(c15, c11), c16) = true.
% 0.20/0.32 Axiom 6 (ifeq_axiom): ifeq(X, X, Y, Z) = Y.
% 0.20/0.32 Axiom 7 (p2_6): p2(f3(f4(f5(c12)), c13), c16) = true.
% 0.20/0.32 Axiom 8 (p2_9): ifeq(p2(X, Y), true, ifeq(p2(X, Z), true, p2(Z, Y), true), true) = true.
% 0.20/0.32
% 0.20/0.32 Goal 1 (not_p9_15): tuple(p2(f7(c10, X), Y), p2(f6(Y, c11), f3(f4(f5(c12)), c13)), p9(X, c10), p8(c11, X)) = tuple(true, true, true, true).
% 0.20/0.32 The goal is true when:
% 0.20/0.32 X = c14
% 0.20/0.32 Y = c15
% 0.20/0.32
% 0.20/0.32 Proof:
% 0.20/0.32 tuple(p2(f7(c10, c14), c15), p2(f6(c15, c11), f3(f4(f5(c12)), c13)), p9(c14, c10), p8(c11, c14))
% 0.20/0.32 = { by axiom 4 (p2_4) }
% 0.20/0.32 tuple(true, p2(f6(c15, c11), f3(f4(f5(c12)), c13)), p9(c14, c10), p8(c11, c14))
% 0.20/0.32 = { by axiom 6 (ifeq_axiom) R->L }
% 0.20/0.32 tuple(true, ifeq(true, true, p2(f6(c15, c11), f3(f4(f5(c12)), c13)), true), p9(c14, c10), p8(c11, c14))
% 0.20/0.32 = { by axiom 8 (p2_9) R->L }
% 0.20/0.32 tuple(true, ifeq(ifeq(p2(f6(c15, c11), f6(c15, c11)), true, ifeq(p2(f6(c15, c11), c16), true, p2(c16, f6(c15, c11)), true), true), true, p2(f6(c15, c11), f3(f4(f5(c12)), c13)), true), p9(c14, c10), p8(c11, c14))
% 0.20/0.32 = { by axiom 1 (p2_1) }
% 0.20/0.32 tuple(true, ifeq(ifeq(true, true, ifeq(p2(f6(c15, c11), c16), true, p2(c16, f6(c15, c11)), true), true), true, p2(f6(c15, c11), f3(f4(f5(c12)), c13)), true), p9(c14, c10), p8(c11, c14))
% 0.20/0.32 = { by axiom 6 (ifeq_axiom) }
% 0.20/0.32 tuple(true, ifeq(ifeq(p2(f6(c15, c11), c16), true, p2(c16, f6(c15, c11)), true), true, p2(f6(c15, c11), f3(f4(f5(c12)), c13)), true), p9(c14, c10), p8(c11, c14))
% 0.20/0.32 = { by axiom 5 (p2_5) }
% 0.20/0.32 tuple(true, ifeq(ifeq(true, true, p2(c16, f6(c15, c11)), true), true, p2(f6(c15, c11), f3(f4(f5(c12)), c13)), true), p9(c14, c10), p8(c11, c14))
% 0.20/0.32 = { by axiom 6 (ifeq_axiom) }
% 0.20/0.32 tuple(true, ifeq(p2(c16, f6(c15, c11)), true, p2(f6(c15, c11), f3(f4(f5(c12)), c13)), true), p9(c14, c10), p8(c11, c14))
% 0.20/0.32 = { by axiom 6 (ifeq_axiom) R->L }
% 0.20/0.32 tuple(true, ifeq(true, true, ifeq(p2(c16, f6(c15, c11)), true, p2(f6(c15, c11), f3(f4(f5(c12)), c13)), true), true), p9(c14, c10), p8(c11, c14))
% 0.20/0.32 = { by axiom 8 (p2_9) R->L }
% 0.20/0.33 tuple(true, ifeq(ifeq(p2(f3(f4(f5(c12)), c13), f3(f4(f5(c12)), c13)), true, ifeq(p2(f3(f4(f5(c12)), c13), c16), true, p2(c16, f3(f4(f5(c12)), c13)), true), true), true, ifeq(p2(c16, f6(c15, c11)), true, p2(f6(c15, c11), f3(f4(f5(c12)), c13)), true), true), p9(c14, c10), p8(c11, c14))
% 0.20/0.33 = { by axiom 1 (p2_1) }
% 0.20/0.33 tuple(true, ifeq(ifeq(true, true, ifeq(p2(f3(f4(f5(c12)), c13), c16), true, p2(c16, f3(f4(f5(c12)), c13)), true), true), true, ifeq(p2(c16, f6(c15, c11)), true, p2(f6(c15, c11), f3(f4(f5(c12)), c13)), true), true), p9(c14, c10), p8(c11, c14))
% 0.20/0.33 = { by axiom 6 (ifeq_axiom) }
% 0.20/0.33 tuple(true, ifeq(ifeq(p2(f3(f4(f5(c12)), c13), c16), true, p2(c16, f3(f4(f5(c12)), c13)), true), true, ifeq(p2(c16, f6(c15, c11)), true, p2(f6(c15, c11), f3(f4(f5(c12)), c13)), true), true), p9(c14, c10), p8(c11, c14))
% 0.20/0.33 = { by axiom 7 (p2_6) }
% 0.20/0.33 tuple(true, ifeq(ifeq(true, true, p2(c16, f3(f4(f5(c12)), c13)), true), true, ifeq(p2(c16, f6(c15, c11)), true, p2(f6(c15, c11), f3(f4(f5(c12)), c13)), true), true), p9(c14, c10), p8(c11, c14))
% 0.20/0.33 = { by axiom 6 (ifeq_axiom) }
% 0.20/0.33 tuple(true, ifeq(p2(c16, f3(f4(f5(c12)), c13)), true, ifeq(p2(c16, f6(c15, c11)), true, p2(f6(c15, c11), f3(f4(f5(c12)), c13)), true), true), p9(c14, c10), p8(c11, c14))
% 0.20/0.33 = { by axiom 8 (p2_9) }
% 0.20/0.33 tuple(true, true, p9(c14, c10), p8(c11, c14))
% 0.20/0.33 = { by axiom 2 (p9_2) }
% 0.20/0.33 tuple(true, true, true, p8(c11, c14))
% 0.20/0.33 = { by axiom 3 (p8_3) }
% 0.20/0.33 tuple(true, true, true, true)
% 0.20/0.33 % SZS output end Proof
% 0.20/0.33
% 0.20/0.33 RESULT: Unsatisfiable (the axioms are contradictory).
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