%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : SYN618-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n014.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 01:48:11 PM UTC 2026
% Result : Unsatisfiable 0.46s 0.30s
% Output : Proof 0.46s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN618-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.17 % Computer : n014.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 16:36:00 UTC 2026
% 0.07/0.17 % CPUTime :
% 0.07/0.17 Running run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.46/0.30 Command-line arguments: --flatten-regeneralise
% 0.46/0.30
% 0.46/0.30 % SZS status Unsatisfiable
% 0.46/0.30
% 0.46/0.31 % SZS output start Proof
% 0.46/0.31 Axiom 1 (p2_5): p2(X, X) = true.
% 0.46/0.31 Axiom 2 (p13_8): p13(c23, c21) = true.
% 0.46/0.31 Axiom 3 (p13_9): p13(c19, c23) = true.
% 0.46/0.31 Axiom 4 (p5_3): p5(X, X) = true.
% 0.46/0.31 Axiom 5 (p2_12): p2(c17, f3(c16)) = true.
% 0.46/0.31 Axiom 6 (ifeq_axiom): ifeq(X, X, Y, Z) = Y.
% 0.46/0.31 Axiom 7 (p5_16): p5(f8(f3(c16), c23), f6(f7(c22))) = true.
% 0.46/0.31 Axiom 8 (p5_22): ifeq(p5(X, Y), true, ifeq(p5(X, Z), true, p5(Z, Y), true), true) = true.
% 0.46/0.31 Axiom 9 (p5_30): ifeq(p2(X, Y), true, ifeq(p5(Z, W), true, p5(f8(X, Z), f8(Y, W)), true), true) = true.
% 0.46/0.31 Axiom 10 (p5_31): ifeq(p13(c19, X), true, ifeq(p13(X, c21), true, ifeq(p5(f8(c17, X), f6(f7(c22))), true, p5(X, c20), true), true), true) = true.
% 0.46/0.31
% 0.46/0.32 Goal 1 (not_p5_17): p5(f8(f3(c16), c20), f6(f7(c22))) = true.
% 0.46/0.32 Proof:
% 0.46/0.32 p5(f8(f3(c16), c20), f6(f7(c22)))
% 0.46/0.32 = { by axiom 6 (ifeq_axiom) R->L }
% 0.46/0.32 ifeq(true, true, p5(f8(f3(c16), c20), f6(f7(c22))), true)
% 0.46/0.32 = { by axiom 9 (p5_30) R->L }
% 0.46/0.32 ifeq(ifeq(p2(f3(c16), f3(c16)), true, ifeq(p5(c23, c20), true, p5(f8(f3(c16), c23), f8(f3(c16), c20)), true), true), true, p5(f8(f3(c16), c20), f6(f7(c22))), true)
% 0.46/0.32 = { by axiom 1 (p2_5) }
% 0.46/0.32 ifeq(ifeq(true, true, ifeq(p5(c23, c20), true, p5(f8(f3(c16), c23), f8(f3(c16), c20)), true), true), true, p5(f8(f3(c16), c20), f6(f7(c22))), true)
% 0.46/0.32 = { by axiom 6 (ifeq_axiom) }
% 0.46/0.32 ifeq(ifeq(p5(c23, c20), true, p5(f8(f3(c16), c23), f8(f3(c16), c20)), true), true, p5(f8(f3(c16), c20), f6(f7(c22))), true)
% 0.46/0.32 = { by axiom 6 (ifeq_axiom) R->L }
% 0.46/0.32 ifeq(ifeq(ifeq(true, true, p5(c23, c20), true), true, p5(f8(f3(c16), c23), f8(f3(c16), c20)), true), true, p5(f8(f3(c16), c20), f6(f7(c22))), true)
% 0.46/0.32 = { by axiom 6 (ifeq_axiom) R->L }
% 0.46/0.32 ifeq(ifeq(ifeq(true, true, ifeq(true, true, p5(c23, c20), true), true), true, p5(f8(f3(c16), c23), f8(f3(c16), c20)), true), true, p5(f8(f3(c16), c20), f6(f7(c22))), true)
% 0.46/0.32 = { by axiom 2 (p13_8) R->L }
% 0.46/0.32 ifeq(ifeq(ifeq(p13(c23, c21), true, ifeq(true, true, p5(c23, c20), true), true), true, p5(f8(f3(c16), c23), f8(f3(c16), c20)), true), true, p5(f8(f3(c16), c20), f6(f7(c22))), true)
% 0.46/0.32 = { by axiom 6 (ifeq_axiom) R->L }
% 0.46/0.32 ifeq(ifeq(ifeq(true, true, ifeq(p13(c23, c21), true, ifeq(true, true, p5(c23, c20), true), true), true), true, p5(f8(f3(c16), c23), f8(f3(c16), c20)), true), true, p5(f8(f3(c16), c20), f6(f7(c22))), true)
% 0.46/0.32 = { by axiom 3 (p13_9) R->L }
% 0.46/0.32 ifeq(ifeq(ifeq(p13(c19, c23), true, ifeq(p13(c23, c21), true, ifeq(true, true, p5(c23, c20), true), true), true), true, p5(f8(f3(c16), c23), f8(f3(c16), c20)), true), true, p5(f8(f3(c16), c20), f6(f7(c22))), true)
% 0.46/0.32 = { by axiom 8 (p5_22) R->L }
% 0.46/0.32 ifeq(ifeq(ifeq(p13(c19, c23), true, ifeq(p13(c23, c21), true, ifeq(ifeq(p5(f8(f3(c16), c23), f6(f7(c22))), true, ifeq(p5(f8(f3(c16), c23), f8(c17, c23)), true, p5(f8(c17, c23), f6(f7(c22))), true), true), true, p5(c23, c20), true), true), true), true, p5(f8(f3(c16), c23), f8(f3(c16), c20)), true), true, p5(f8(f3(c16), c20), f6(f7(c22))), true)
% 0.46/0.32 = { by axiom 7 (p5_16) }
% 0.46/0.32 ifeq(ifeq(ifeq(p13(c19, c23), true, ifeq(p13(c23, c21), true, ifeq(ifeq(true, true, ifeq(p5(f8(f3(c16), c23), f8(c17, c23)), true, p5(f8(c17, c23), f6(f7(c22))), true), true), true, p5(c23, c20), true), true), true), true, p5(f8(f3(c16), c23), f8(f3(c16), c20)), true), true, p5(f8(f3(c16), c20), f6(f7(c22))), true)
% 0.46/0.32 = { by axiom 6 (ifeq_axiom) }
% 0.46/0.32 ifeq(ifeq(ifeq(p13(c19, c23), true, ifeq(p13(c23, c21), true, ifeq(ifeq(p5(f8(f3(c16), c23), f8(c17, c23)), true, p5(f8(c17, c23), f6(f7(c22))), true), true, p5(c23, c20), true), true), true), true, p5(f8(f3(c16), c23), f8(f3(c16), c20)), true), true, p5(f8(f3(c16), c20), f6(f7(c22))), true)
% 0.46/0.32 = { by axiom 6 (ifeq_axiom) R->L }
% 0.46/0.32 ifeq(ifeq(ifeq(p13(c19, c23), true, ifeq(p13(c23, c21), true, ifeq(ifeq(ifeq(true, true, p5(f8(f3(c16), c23), f8(c17, c23)), true), true, p5(f8(c17, c23), f6(f7(c22))), true), true, p5(c23, c20), true), true), true), true, p5(f8(f3(c16), c23), f8(f3(c16), c20)), true), true, p5(f8(f3(c16), c20), f6(f7(c22))), true)
% 0.46/0.32 = { by axiom 9 (p5_30) R->L }
% 0.46/0.32 ifeq(ifeq(ifeq(p13(c19, c23), true, ifeq(p13(c23, c21), true, ifeq(ifeq(ifeq(ifeq(p2(c17, f3(c16)), true, ifeq(p5(c23, c23), true, p5(f8(c17, c23), f8(f3(c16), c23)), true), true), true, p5(f8(f3(c16), c23), f8(c17, c23)), true), true, p5(f8(c17, c23), f6(f7(c22))), true), true, p5(c23, c20), true), true), true), true, p5(f8(f3(c16), c23), f8(f3(c16), c20)), true), true, p5(f8(f3(c16), c20), f6(f7(c22))), true)
% 0.46/0.32 = { by axiom 4 (p5_3) }
% 0.46/0.32 ifeq(ifeq(ifeq(p13(c19, c23), true, ifeq(p13(c23, c21), true, ifeq(ifeq(ifeq(ifeq(p2(c17, f3(c16)), true, ifeq(true, true, p5(f8(c17, c23), f8(f3(c16), c23)), true), true), true, p5(f8(f3(c16), c23), f8(c17, c23)), true), true, p5(f8(c17, c23), f6(f7(c22))), true), true, p5(c23, c20), true), true), true), true, p5(f8(f3(c16), c23), f8(f3(c16), c20)), true), true, p5(f8(f3(c16), c20), f6(f7(c22))), true)
% 0.46/0.32 = { by axiom 6 (ifeq_axiom) }
% 0.46/0.32 ifeq(ifeq(ifeq(p13(c19, c23), true, ifeq(p13(c23, c21), true, ifeq(ifeq(ifeq(ifeq(p2(c17, f3(c16)), true, p5(f8(c17, c23), f8(f3(c16), c23)), true), true, p5(f8(f3(c16), c23), f8(c17, c23)), true), true, p5(f8(c17, c23), f6(f7(c22))), true), true, p5(c23, c20), true), true), true), true, p5(f8(f3(c16), c23), f8(f3(c16), c20)), true), true, p5(f8(f3(c16), c20), f6(f7(c22))), true)
% 0.46/0.32 = { by axiom 5 (p2_12) }
% 0.46/0.32 ifeq(ifeq(ifeq(p13(c19, c23), true, ifeq(p13(c23, c21), true, ifeq(ifeq(ifeq(ifeq(true, true, p5(f8(c17, c23), f8(f3(c16), c23)), true), true, p5(f8(f3(c16), c23), f8(c17, c23)), true), true, p5(f8(c17, c23), f6(f7(c22))), true), true, p5(c23, c20), true), true), true), true, p5(f8(f3(c16), c23), f8(f3(c16), c20)), true), true, p5(f8(f3(c16), c20), f6(f7(c22))), true)
% 0.46/0.32 = { by axiom 6 (ifeq_axiom) }
% 0.46/0.32 ifeq(ifeq(ifeq(p13(c19, c23), true, ifeq(p13(c23, c21), true, ifeq(ifeq(ifeq(p5(f8(c17, c23), f8(f3(c16), c23)), true, p5(f8(f3(c16), c23), f8(c17, c23)), true), true, p5(f8(c17, c23), f6(f7(c22))), true), true, p5(c23, c20), true), true), true), true, p5(f8(f3(c16), c23), f8(f3(c16), c20)), true), true, p5(f8(f3(c16), c20), f6(f7(c22))), true)
% 0.46/0.32 = { by axiom 6 (ifeq_axiom) R->L }
% 0.46/0.32 ifeq(ifeq(ifeq(p13(c19, c23), true, ifeq(p13(c23, c21), true, ifeq(ifeq(ifeq(true, true, ifeq(p5(f8(c17, c23), f8(f3(c16), c23)), true, p5(f8(f3(c16), c23), f8(c17, c23)), true), true), true, p5(f8(c17, c23), f6(f7(c22))), true), true, p5(c23, c20), true), true), true), true, p5(f8(f3(c16), c23), f8(f3(c16), c20)), true), true, p5(f8(f3(c16), c20), f6(f7(c22))), true)
% 0.46/0.32 = { by axiom 4 (p5_3) R->L }
% 0.46/0.32 ifeq(ifeq(ifeq(p13(c19, c23), true, ifeq(p13(c23, c21), true, ifeq(ifeq(ifeq(p5(f8(c17, c23), f8(c17, c23)), true, ifeq(p5(f8(c17, c23), f8(f3(c16), c23)), true, p5(f8(f3(c16), c23), f8(c17, c23)), true), true), true, p5(f8(c17, c23), f6(f7(c22))), true), true, p5(c23, c20), true), true), true), true, p5(f8(f3(c16), c23), f8(f3(c16), c20)), true), true, p5(f8(f3(c16), c20), f6(f7(c22))), true)
% 0.46/0.32 = { by axiom 8 (p5_22) }
% 0.46/0.32 ifeq(ifeq(ifeq(p13(c19, c23), true, ifeq(p13(c23, c21), true, ifeq(ifeq(true, true, p5(f8(c17, c23), f6(f7(c22))), true), true, p5(c23, c20), true), true), true), true, p5(f8(f3(c16), c23), f8(f3(c16), c20)), true), true, p5(f8(f3(c16), c20), f6(f7(c22))), true)
% 0.46/0.32 = { by axiom 6 (ifeq_axiom) }
% 0.46/0.32 ifeq(ifeq(ifeq(p13(c19, c23), true, ifeq(p13(c23, c21), true, ifeq(p5(f8(c17, c23), f6(f7(c22))), true, p5(c23, c20), true), true), true), true, p5(f8(f3(c16), c23), f8(f3(c16), c20)), true), true, p5(f8(f3(c16), c20), f6(f7(c22))), true)
% 0.46/0.32 = { by axiom 10 (p5_31) }
% 0.46/0.32 ifeq(ifeq(true, true, p5(f8(f3(c16), c23), f8(f3(c16), c20)), true), true, p5(f8(f3(c16), c20), f6(f7(c22))), true)
% 0.46/0.32 = { by axiom 6 (ifeq_axiom) }
% 0.46/0.32 ifeq(p5(f8(f3(c16), c23), f8(f3(c16), c20)), true, p5(f8(f3(c16), c20), f6(f7(c22))), true)
% 0.46/0.32 = { by axiom 6 (ifeq_axiom) R->L }
% 0.46/0.32 ifeq(true, true, ifeq(p5(f8(f3(c16), c23), f8(f3(c16), c20)), true, p5(f8(f3(c16), c20), f6(f7(c22))), true), true)
% 0.46/0.32 = { by axiom 7 (p5_16) R->L }
% 0.46/0.32 ifeq(p5(f8(f3(c16), c23), f6(f7(c22))), true, ifeq(p5(f8(f3(c16), c23), f8(f3(c16), c20)), true, p5(f8(f3(c16), c20), f6(f7(c22))), true), true)
% 0.46/0.32 = { by axiom 8 (p5_22) }
% 0.46/0.32 true
% 0.46/0.32 % SZS output end Proof
% 0.46/0.32
% 0.46/0.32 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------