%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : SYN563-1 : TPTP v9.3.1. Released v2.5.0.
% 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 01:48:06 PM UTC 2026
% Result : Unsatisfiable 0.22s 0.38s
% Output : Proof 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN563-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.17 % Computer : n010.cluster.edu
% 0.08/0.17 % Model : x86_64 x86_64
% 0.08/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.17 % Memory : 8046.5625MB
% 0.08/0.17 % 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 16:29:32 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.38 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
% 0.22/0.38
% 0.22/0.38 % SZS status Unsatisfiable
% 0.22/0.38
% 0.22/0.38 % SZS output start Proof
% 0.22/0.38 Axiom 1 (p6_2): p6(X, X) = true.
% 0.22/0.38 Axiom 2 (p2_1): p2(X, X) = true.
% 0.22/0.38 Axiom 3 (p2_4): p2(f4(c7), f4(c8)) = true.
% 0.22/0.38 Axiom 4 (ifeq_axiom): ifeq(X, X, Y, Z) = Y.
% 0.22/0.38 Axiom 5 (p5_7): p5(f3(f3(X)), f3(f4(X))) = true.
% 0.22/0.38 Axiom 6 (p6_10): ifeq(p5(X, Y), true, p6(f4(X), Y), true) = true.
% 0.22/0.38 Axiom 7 (p6_9): ifeq(p6(c7, X), true, p6(c7, f3(X)), true) = true.
% 0.22/0.38 Axiom 8 (p2_11): ifeq(p2(X, Y), true, p2(f3(X), f3(Y)), true) = true.
% 0.22/0.38 Axiom 9 (p6_14): ifeq(p6(X, Y), true, ifeq(p6(Z, X), true, p6(Z, Y), true), true) = true.
% 0.22/0.38 Axiom 10 (p2_13): ifeq(p2(X, Y), true, ifeq(p2(X, Z), true, p2(Z, Y), true), true) = true.
% 0.22/0.38 Axiom 11 (p5_15): ifeq(p5(X, Y), true, ifeq(p6(Z, X), true, p5(Z, Y), true), true) = true.
% 0.22/0.38 Axiom 12 (p6_16): ifeq(p6(X, Y), true, ifeq(p2(Y, Z), true, ifeq(p2(X, W), true, p6(W, Z), true), true), true) = true.
% 0.22/0.38
% 0.22/0.38 Goal 1 (not_p6_5): p6(f4(c7), f3(f4(c8))) = true.
% 0.22/0.38 Proof:
% 0.22/0.38 p6(f4(c7), f3(f4(c8)))
% 0.22/0.38 = { by axiom 4 (ifeq_axiom) R->L }
% 0.22/0.38 ifeq(true, true, p6(f4(c7), f3(f4(c8))), true)
% 0.22/0.38 = { by axiom 6 (p6_10) R->L }
% 0.22/0.38 ifeq(ifeq(p5(c7, f3(f4(c7))), true, p6(f4(c7), f3(f4(c7))), true), true, p6(f4(c7), f3(f4(c8))), true)
% 0.22/0.38 = { by axiom 4 (ifeq_axiom) R->L }
% 0.22/0.38 ifeq(ifeq(ifeq(true, true, p5(c7, f3(f4(c7))), true), true, p6(f4(c7), f3(f4(c7))), true), true, p6(f4(c7), f3(f4(c8))), true)
% 0.22/0.38 = { by axiom 7 (p6_9) R->L }
% 0.22/0.38 ifeq(ifeq(ifeq(ifeq(p6(c7, f3(c7)), true, p6(c7, f3(f3(c7))), true), true, p5(c7, f3(f4(c7))), true), true, p6(f4(c7), f3(f4(c7))), true), true, p6(f4(c7), f3(f4(c8))), true)
% 0.22/0.38 = { by axiom 4 (ifeq_axiom) R->L }
% 0.22/0.38 ifeq(ifeq(ifeq(ifeq(ifeq(true, true, p6(c7, f3(c7)), true), true, p6(c7, f3(f3(c7))), true), true, p5(c7, f3(f4(c7))), true), true, p6(f4(c7), f3(f4(c7))), true), true, p6(f4(c7), f3(f4(c8))), true)
% 0.22/0.39 = { by axiom 1 (p6_2) R->L }
% 0.22/0.39 ifeq(ifeq(ifeq(ifeq(ifeq(p6(c7, c7), true, p6(c7, f3(c7)), true), true, p6(c7, f3(f3(c7))), true), true, p5(c7, f3(f4(c7))), true), true, p6(f4(c7), f3(f4(c7))), true), true, p6(f4(c7), f3(f4(c8))), true)
% 0.22/0.39 = { by axiom 7 (p6_9) }
% 0.22/0.39 ifeq(ifeq(ifeq(ifeq(true, true, p6(c7, f3(f3(c7))), true), true, p5(c7, f3(f4(c7))), true), true, p6(f4(c7), f3(f4(c7))), true), true, p6(f4(c7), f3(f4(c8))), true)
% 0.22/0.39 = { by axiom 4 (ifeq_axiom) }
% 0.22/0.39 ifeq(ifeq(ifeq(p6(c7, f3(f3(c7))), true, p5(c7, f3(f4(c7))), true), true, p6(f4(c7), f3(f4(c7))), true), true, p6(f4(c7), f3(f4(c8))), true)
% 0.22/0.39 = { by axiom 4 (ifeq_axiom) R->L }
% 0.22/0.39 ifeq(ifeq(ifeq(true, true, ifeq(p6(c7, f3(f3(c7))), true, p5(c7, f3(f4(c7))), true), true), true, p6(f4(c7), f3(f4(c7))), true), true, p6(f4(c7), f3(f4(c8))), true)
% 0.22/0.39 = { by axiom 5 (p5_7) R->L }
% 0.22/0.39 ifeq(ifeq(ifeq(p5(f3(f3(c7)), f3(f4(c7))), true, ifeq(p6(c7, f3(f3(c7))), true, p5(c7, f3(f4(c7))), true), true), true, p6(f4(c7), f3(f4(c7))), true), true, p6(f4(c7), f3(f4(c8))), true)
% 0.22/0.39 = { by axiom 11 (p5_15) }
% 0.22/0.39 ifeq(ifeq(true, true, p6(f4(c7), f3(f4(c7))), true), true, p6(f4(c7), f3(f4(c8))), true)
% 0.22/0.39 = { by axiom 4 (ifeq_axiom) }
% 0.22/0.39 ifeq(p6(f4(c7), f3(f4(c7))), true, p6(f4(c7), f3(f4(c8))), true)
% 0.22/0.39 = { by axiom 4 (ifeq_axiom) R->L }
% 0.22/0.39 ifeq(true, true, ifeq(p6(f4(c7), f3(f4(c7))), true, p6(f4(c7), f3(f4(c8))), true), true)
% 0.22/0.39 = { by axiom 12 (p6_16) R->L }
% 0.22/0.39 ifeq(ifeq(p6(f3(f4(c8)), f3(f4(c8))), true, ifeq(p2(f3(f4(c8)), f3(f4(c8))), true, ifeq(p2(f3(f4(c8)), f3(f4(c7))), true, p6(f3(f4(c7)), f3(f4(c8))), true), true), true), true, ifeq(p6(f4(c7), f3(f4(c7))), true, p6(f4(c7), f3(f4(c8))), true), true)
% 0.22/0.39 = { by axiom 1 (p6_2) }
% 0.22/0.39 ifeq(ifeq(true, true, ifeq(p2(f3(f4(c8)), f3(f4(c8))), true, ifeq(p2(f3(f4(c8)), f3(f4(c7))), true, p6(f3(f4(c7)), f3(f4(c8))), true), true), true), true, ifeq(p6(f4(c7), f3(f4(c7))), true, p6(f4(c7), f3(f4(c8))), true), true)
% 0.22/0.39 = { by axiom 4 (ifeq_axiom) }
% 0.22/0.39 ifeq(ifeq(p2(f3(f4(c8)), f3(f4(c8))), true, ifeq(p2(f3(f4(c8)), f3(f4(c7))), true, p6(f3(f4(c7)), f3(f4(c8))), true), true), true, ifeq(p6(f4(c7), f3(f4(c7))), true, p6(f4(c7), f3(f4(c8))), true), true)
% 0.22/0.39 = { by axiom 2 (p2_1) }
% 0.22/0.39 ifeq(ifeq(true, true, ifeq(p2(f3(f4(c8)), f3(f4(c7))), true, p6(f3(f4(c7)), f3(f4(c8))), true), true), true, ifeq(p6(f4(c7), f3(f4(c7))), true, p6(f4(c7), f3(f4(c8))), true), true)
% 0.22/0.39 = { by axiom 4 (ifeq_axiom) }
% 0.22/0.39 ifeq(ifeq(p2(f3(f4(c8)), f3(f4(c7))), true, p6(f3(f4(c7)), f3(f4(c8))), true), true, ifeq(p6(f4(c7), f3(f4(c7))), true, p6(f4(c7), f3(f4(c8))), true), true)
% 0.22/0.39 = { by axiom 4 (ifeq_axiom) R->L }
% 0.22/0.39 ifeq(ifeq(ifeq(true, true, p2(f3(f4(c8)), f3(f4(c7))), true), true, p6(f3(f4(c7)), f3(f4(c8))), true), true, ifeq(p6(f4(c7), f3(f4(c7))), true, p6(f4(c7), f3(f4(c8))), true), true)
% 0.22/0.39 = { by axiom 8 (p2_11) R->L }
% 0.22/0.39 ifeq(ifeq(ifeq(ifeq(p2(f4(c7), f4(c8)), true, p2(f3(f4(c7)), f3(f4(c8))), true), true, p2(f3(f4(c8)), f3(f4(c7))), true), true, p6(f3(f4(c7)), f3(f4(c8))), true), true, ifeq(p6(f4(c7), f3(f4(c7))), true, p6(f4(c7), f3(f4(c8))), true), true)
% 0.22/0.39 = { by axiom 3 (p2_4) }
% 0.22/0.39 ifeq(ifeq(ifeq(ifeq(true, true, p2(f3(f4(c7)), f3(f4(c8))), true), true, p2(f3(f4(c8)), f3(f4(c7))), true), true, p6(f3(f4(c7)), f3(f4(c8))), true), true, ifeq(p6(f4(c7), f3(f4(c7))), true, p6(f4(c7), f3(f4(c8))), true), true)
% 0.22/0.39 = { by axiom 4 (ifeq_axiom) }
% 0.22/0.39 ifeq(ifeq(ifeq(p2(f3(f4(c7)), f3(f4(c8))), true, p2(f3(f4(c8)), f3(f4(c7))), true), true, p6(f3(f4(c7)), f3(f4(c8))), true), true, ifeq(p6(f4(c7), f3(f4(c7))), true, p6(f4(c7), f3(f4(c8))), true), true)
% 0.22/0.39 = { by axiom 4 (ifeq_axiom) R->L }
% 0.22/0.39 ifeq(ifeq(ifeq(true, true, ifeq(p2(f3(f4(c7)), f3(f4(c8))), true, p2(f3(f4(c8)), f3(f4(c7))), true), true), true, p6(f3(f4(c7)), f3(f4(c8))), true), true, ifeq(p6(f4(c7), f3(f4(c7))), true, p6(f4(c7), f3(f4(c8))), true), true)
% 0.22/0.39 = { by axiom 2 (p2_1) R->L }
% 0.22/0.39 ifeq(ifeq(ifeq(p2(f3(f4(c7)), f3(f4(c7))), true, ifeq(p2(f3(f4(c7)), f3(f4(c8))), true, p2(f3(f4(c8)), f3(f4(c7))), true), true), true, p6(f3(f4(c7)), f3(f4(c8))), true), true, ifeq(p6(f4(c7), f3(f4(c7))), true, p6(f4(c7), f3(f4(c8))), true), true)
% 0.22/0.39 = { by axiom 10 (p2_13) }
% 0.22/0.39 ifeq(ifeq(true, true, p6(f3(f4(c7)), f3(f4(c8))), true), true, ifeq(p6(f4(c7), f3(f4(c7))), true, p6(f4(c7), f3(f4(c8))), true), true)
% 0.22/0.39 = { by axiom 4 (ifeq_axiom) }
% 0.22/0.39 ifeq(p6(f3(f4(c7)), f3(f4(c8))), true, ifeq(p6(f4(c7), f3(f4(c7))), true, p6(f4(c7), f3(f4(c8))), true), true)
% 0.22/0.39 = { by axiom 9 (p6_14) }
% 0.22/0.39 true
% 0.22/0.39 % SZS output end Proof
% 0.22/0.39
% 0.22/0.39 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------