%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : SYN638-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox/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 01:48:13 PM UTC 2026
% Result : Unsatisfiable 1.01s 0.40s
% Output : Proof 1.01s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN638-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.18 % Computer : n010.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Mon Sep 28 16:39:28 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.01/0.40 Command-line arguments: --lhs-weight 1 --flip-ordering --normalise-queue-percent 10 --cp-renormalise-threshold 10 --complete-subsets --ground-joining-incomplete-limit 15 --flatten-regeneralise
% 1.01/0.40
% 1.01/0.40 % SZS status Unsatisfiable
% 1.01/0.40
% 1.01/0.40 % SZS output start Proof
% 1.01/0.40 Axiom 1 (p4_4): p4(X, X) = true.
% 1.01/0.40 Axiom 2 (ifeq_axiom): ifeq(X, X, Y, Z) = Y.
% 1.01/0.40 Axiom 3 (p4_12): ifeq(p4(X, Y), true, p4(f16(X), f16(Y)), true) = true.
% 1.01/0.40 Axiom 4 (p4_32): ifeq(p4(X, Y), true, ifeq(p4(Z, W), true, p4(f17(Z, X), f17(W, Y)), true), true) = true.
% 1.01/0.40 Axiom 5 (p4_39): p4(f5(f8(f11(c25), f9(f10(c25), c28)), X, c27), f5(f8(f11(c25), f9(f10(c25), c28)), X, c29)) = true.
% 1.01/0.40 Axiom 6 (p22_40): p22(f16(f17(c27, f5(f8(f11(c25), f9(f10(c25), c28)), c26, c27))), f16(f17(c27, f5(c25, c26, c27)))) = true.
% 1.01/0.40 Axiom 7 (p22_28): ifeq(p22(X, Y), true, ifeq(p4(Y, Z), true, ifeq(p4(X, W), true, p22(W, Z), true), true), true) = true.
% 1.01/0.40
% 1.01/0.40 Goal 1 (not_p22_41): p22(f16(f17(c27, f5(f8(f11(c25), f9(f10(c25), c28)), c26, c29))), f16(f17(c27, f5(c25, c26, c27)))) = true.
% 1.01/0.41 Proof:
% 1.01/0.41 p22(f16(f17(c27, f5(f8(f11(c25), f9(f10(c25), c28)), c26, c29))), f16(f17(c27, f5(c25, c26, c27))))
% 1.01/0.41 = { by axiom 2 (ifeq_axiom) R->L }
% 1.01/0.41 ifeq(true, true, p22(f16(f17(c27, f5(f8(f11(c25), f9(f10(c25), c28)), c26, c29))), f16(f17(c27, f5(c25, c26, c27)))), true)
% 1.01/0.41 = { by axiom 3 (p4_12) R->L }
% 1.01/0.41 ifeq(ifeq(p4(f17(c27, f5(f8(f11(c25), f9(f10(c25), c28)), c26, c27)), f17(c27, f5(f8(f11(c25), f9(f10(c25), c28)), c26, c29))), true, p4(f16(f17(c27, f5(f8(f11(c25), f9(f10(c25), c28)), c26, c27))), f16(f17(c27, f5(f8(f11(c25), f9(f10(c25), c28)), c26, c29)))), true), true, p22(f16(f17(c27, f5(f8(f11(c25), f9(f10(c25), c28)), c26, c29))), f16(f17(c27, f5(c25, c26, c27)))), true)
% 1.01/0.41 = { by axiom 2 (ifeq_axiom) R->L }
% 1.01/0.41 ifeq(ifeq(ifeq(true, true, p4(f17(c27, f5(f8(f11(c25), f9(f10(c25), c28)), c26, c27)), f17(c27, f5(f8(f11(c25), f9(f10(c25), c28)), c26, c29))), true), true, p4(f16(f17(c27, f5(f8(f11(c25), f9(f10(c25), c28)), c26, c27))), f16(f17(c27, f5(f8(f11(c25), f9(f10(c25), c28)), c26, c29)))), true), true, p22(f16(f17(c27, f5(f8(f11(c25), f9(f10(c25), c28)), c26, c29))), f16(f17(c27, f5(c25, c26, c27)))), true)
% 1.01/0.41 = { by axiom 5 (p4_39) R->L }
% 1.01/0.41 ifeq(ifeq(ifeq(p4(f5(f8(f11(c25), f9(f10(c25), c28)), c26, c27), f5(f8(f11(c25), f9(f10(c25), c28)), c26, c29)), true, p4(f17(c27, f5(f8(f11(c25), f9(f10(c25), c28)), c26, c27)), f17(c27, f5(f8(f11(c25), f9(f10(c25), c28)), c26, c29))), true), true, p4(f16(f17(c27, f5(f8(f11(c25), f9(f10(c25), c28)), c26, c27))), f16(f17(c27, f5(f8(f11(c25), f9(f10(c25), c28)), c26, c29)))), true), true, p22(f16(f17(c27, f5(f8(f11(c25), f9(f10(c25), c28)), c26, c29))), f16(f17(c27, f5(c25, c26, c27)))), true)
% 1.01/0.41 = { by axiom 2 (ifeq_axiom) R->L }
% 1.01/0.41 ifeq(ifeq(ifeq(p4(f5(f8(f11(c25), f9(f10(c25), c28)), c26, c27), f5(f8(f11(c25), f9(f10(c25), c28)), c26, c29)), true, ifeq(true, true, p4(f17(c27, f5(f8(f11(c25), f9(f10(c25), c28)), c26, c27)), f17(c27, f5(f8(f11(c25), f9(f10(c25), c28)), c26, c29))), true), true), true, p4(f16(f17(c27, f5(f8(f11(c25), f9(f10(c25), c28)), c26, c27))), f16(f17(c27, f5(f8(f11(c25), f9(f10(c25), c28)), c26, c29)))), true), true, p22(f16(f17(c27, f5(f8(f11(c25), f9(f10(c25), c28)), c26, c29))), f16(f17(c27, f5(c25, c26, c27)))), true)
% 1.01/0.41 = { by axiom 1 (p4_4) R->L }
% 1.01/0.41 ifeq(ifeq(ifeq(p4(f5(f8(f11(c25), f9(f10(c25), c28)), c26, c27), f5(f8(f11(c25), f9(f10(c25), c28)), c26, c29)), true, ifeq(p4(c27, c27), true, p4(f17(c27, f5(f8(f11(c25), f9(f10(c25), c28)), c26, c27)), f17(c27, f5(f8(f11(c25), f9(f10(c25), c28)), c26, c29))), true), true), true, p4(f16(f17(c27, f5(f8(f11(c25), f9(f10(c25), c28)), c26, c27))), f16(f17(c27, f5(f8(f11(c25), f9(f10(c25), c28)), c26, c29)))), true), true, p22(f16(f17(c27, f5(f8(f11(c25), f9(f10(c25), c28)), c26, c29))), f16(f17(c27, f5(c25, c26, c27)))), true)
% 1.01/0.41 = { by axiom 4 (p4_32) }
% 1.01/0.41 ifeq(ifeq(true, true, p4(f16(f17(c27, f5(f8(f11(c25), f9(f10(c25), c28)), c26, c27))), f16(f17(c27, f5(f8(f11(c25), f9(f10(c25), c28)), c26, c29)))), true), true, p22(f16(f17(c27, f5(f8(f11(c25), f9(f10(c25), c28)), c26, c29))), f16(f17(c27, f5(c25, c26, c27)))), true)
% 1.01/0.41 = { by axiom 2 (ifeq_axiom) }
% 1.01/0.41 ifeq(p4(f16(f17(c27, f5(f8(f11(c25), f9(f10(c25), c28)), c26, c27))), f16(f17(c27, f5(f8(f11(c25), f9(f10(c25), c28)), c26, c29)))), true, p22(f16(f17(c27, f5(f8(f11(c25), f9(f10(c25), c28)), c26, c29))), f16(f17(c27, f5(c25, c26, c27)))), true)
% 1.01/0.41 = { by axiom 2 (ifeq_axiom) R->L }
% 1.01/0.41 ifeq(true, true, ifeq(p4(f16(f17(c27, f5(f8(f11(c25), f9(f10(c25), c28)), c26, c27))), f16(f17(c27, f5(f8(f11(c25), f9(f10(c25), c28)), c26, c29)))), true, p22(f16(f17(c27, f5(f8(f11(c25), f9(f10(c25), c28)), c26, c29))), f16(f17(c27, f5(c25, c26, c27)))), true), true)
% 1.01/0.41 = { by axiom 6 (p22_40) R->L }
% 1.01/0.41 ifeq(p22(f16(f17(c27, f5(f8(f11(c25), f9(f10(c25), c28)), c26, c27))), f16(f17(c27, f5(c25, c26, c27)))), true, ifeq(p4(f16(f17(c27, f5(f8(f11(c25), f9(f10(c25), c28)), c26, c27))), f16(f17(c27, f5(f8(f11(c25), f9(f10(c25), c28)), c26, c29)))), true, p22(f16(f17(c27, f5(f8(f11(c25), f9(f10(c25), c28)), c26, c29))), f16(f17(c27, f5(c25, c26, c27)))), true), true)
% 1.01/0.41 = { by axiom 2 (ifeq_axiom) R->L }
% 1.01/0.41 ifeq(p22(f16(f17(c27, f5(f8(f11(c25), f9(f10(c25), c28)), c26, c27))), f16(f17(c27, f5(c25, c26, c27)))), true, ifeq(true, true, ifeq(p4(f16(f17(c27, f5(f8(f11(c25), f9(f10(c25), c28)), c26, c27))), f16(f17(c27, f5(f8(f11(c25), f9(f10(c25), c28)), c26, c29)))), true, p22(f16(f17(c27, f5(f8(f11(c25), f9(f10(c25), c28)), c26, c29))), f16(f17(c27, f5(c25, c26, c27)))), true), true), true)
% 1.01/0.41 = { by axiom 1 (p4_4) R->L }
% 1.01/0.41 ifeq(p22(f16(f17(c27, f5(f8(f11(c25), f9(f10(c25), c28)), c26, c27))), f16(f17(c27, f5(c25, c26, c27)))), true, ifeq(p4(f16(f17(c27, f5(c25, c26, c27))), f16(f17(c27, f5(c25, c26, c27)))), true, ifeq(p4(f16(f17(c27, f5(f8(f11(c25), f9(f10(c25), c28)), c26, c27))), f16(f17(c27, f5(f8(f11(c25), f9(f10(c25), c28)), c26, c29)))), true, p22(f16(f17(c27, f5(f8(f11(c25), f9(f10(c25), c28)), c26, c29))), f16(f17(c27, f5(c25, c26, c27)))), true), true), true)
% 1.01/0.41 = { by axiom 7 (p22_28) }
% 1.01/0.41 true
% 1.01/0.41 % SZS output end Proof
% 1.01/0.41
% 1.01/0.41 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------