%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : SYN599-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox/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 01:48:10 PM UTC 2026
% Result : Unsatisfiable 2.40s 0.53s
% Output : Proof 2.40s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN599-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.15 % Computer : n017.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
% 0.09/0.16 % CPULimit : 300
% 0.09/0.16 % WCLimit : 300
% 0.09/0.16 % DateTime : Mon Sep 28 16:29:37 UTC 2026
% 0.09/0.16 % CPUTime :
% 0.09/0.16 Running run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.40/0.53 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
% 2.40/0.53
% 2.40/0.53 % SZS status Unsatisfiable
% 2.40/0.53
% 2.40/0.55 % SZS output start Proof
% 2.40/0.55 Axiom 1 (c21_is_p18_2): p18(c21) = true.
% 2.40/0.55 Axiom 2 (p7_3): p7(X, X) = true.
% 2.40/0.55 Axiom 3 (ifeq_axiom): ifeq(X, X, Y, Z) = Y.
% 2.40/0.55 Axiom 4 (p3_7): p3(f4(f6(c21)), c22) = true.
% 2.40/0.55 Axiom 5 (p3_15): ifeq(p3(X, Y), true, p3(f14(X), f14(Y)), true) = true.
% 2.40/0.55 Axiom 6 (p7_26): ifeq(p7(X, Y), true, ifeq(p7(Z, W), true, p7(f8(Z, X), f8(W, Y)), true), true) = true.
% 2.40/0.55 Axiom 7 (p7_25): ifeq(p3(X, Y), true, ifeq(p7(Z, W), true, p7(f9(Z, X), f9(W, Y)), true), true) = true.
% 2.40/0.55 Axiom 8 (p19_23): ifeq(p19(X, Y), true, ifeq(p7(Y, Z), true, ifeq(p7(X, W), true, p19(W, Z), true), true), true) = true.
% 2.40/0.55 Axiom 9 (p19_29): ifeq(p18(X), true, p19(f15(f16(X)), f8(f9(f12(f10(f13(f11(c23)))), f14(f4(f6(X)))), f9(f12(f10(f13(f11(c23)))), f10(f11(f11(f11(f11(f11(f11(f11(c23))))))))))), true) = true.
% 2.40/0.55
% 2.40/0.55 Goal 1 (not_p19_27): p19(f15(f16(c21)), f8(f9(f12(f10(f13(f11(c23)))), f14(c22)), f9(f12(f10(f13(f11(c23)))), f10(f11(f11(f11(f11(f11(f11(f11(c23))))))))))) = true.
% 2.40/0.55 Proof:
% 2.40/0.55 p19(f15(f16(c21)), f8(f9(f12(f10(f13(f11(c23)))), f14(c22)), f9(f12(f10(f13(f11(c23)))), f10(f11(f11(f11(f11(f11(f11(f11(c23)))))))))))
% 2.40/0.55 = { by axiom 3 (ifeq_axiom) R->L }
% 2.40/0.55 ifeq(true, true, p19(f15(f16(c21)), f8(f9(f12(f10(f13(f11(c23)))), f14(c22)), f9(f12(f10(f13(f11(c23)))), f10(f11(f11(f11(f11(f11(f11(f11(c23))))))))))), true)
% 2.40/0.55 = { by axiom 3 (ifeq_axiom) R->L }
% 2.40/0.55 ifeq(true, true, ifeq(true, true, p19(f15(f16(c21)), f8(f9(f12(f10(f13(f11(c23)))), f14(c22)), f9(f12(f10(f13(f11(c23)))), f10(f11(f11(f11(f11(f11(f11(f11(c23))))))))))), true), true)
% 2.40/0.55 = { by axiom 9 (p19_29) R->L }
% 2.40/0.55 ifeq(ifeq(p18(c21), true, p19(f15(f16(c21)), f8(f9(f12(f10(f13(f11(c23)))), f14(f4(f6(c21)))), f9(f12(f10(f13(f11(c23)))), f10(f11(f11(f11(f11(f11(f11(f11(c23))))))))))), true), true, ifeq(true, true, p19(f15(f16(c21)), f8(f9(f12(f10(f13(f11(c23)))), f14(c22)), f9(f12(f10(f13(f11(c23)))), f10(f11(f11(f11(f11(f11(f11(f11(c23))))))))))), true), true)
% 2.40/0.55 = { by axiom 1 (c21_is_p18_2) }
% 2.40/0.55 ifeq(ifeq(true, true, p19(f15(f16(c21)), f8(f9(f12(f10(f13(f11(c23)))), f14(f4(f6(c21)))), f9(f12(f10(f13(f11(c23)))), f10(f11(f11(f11(f11(f11(f11(f11(c23))))))))))), true), true, ifeq(true, true, p19(f15(f16(c21)), f8(f9(f12(f10(f13(f11(c23)))), f14(c22)), f9(f12(f10(f13(f11(c23)))), f10(f11(f11(f11(f11(f11(f11(f11(c23))))))))))), true), true)
% 2.40/0.55 = { by axiom 3 (ifeq_axiom) }
% 2.40/0.55 ifeq(p19(f15(f16(c21)), f8(f9(f12(f10(f13(f11(c23)))), f14(f4(f6(c21)))), f9(f12(f10(f13(f11(c23)))), f10(f11(f11(f11(f11(f11(f11(f11(c23))))))))))), true, ifeq(true, true, p19(f15(f16(c21)), f8(f9(f12(f10(f13(f11(c23)))), f14(c22)), f9(f12(f10(f13(f11(c23)))), f10(f11(f11(f11(f11(f11(f11(f11(c23))))))))))), true), true)
% 2.40/0.55 = { by axiom 6 (p7_26) R->L }
% 2.40/0.55 ifeq(p19(f15(f16(c21)), f8(f9(f12(f10(f13(f11(c23)))), f14(f4(f6(c21)))), f9(f12(f10(f13(f11(c23)))), f10(f11(f11(f11(f11(f11(f11(f11(c23))))))))))), true, ifeq(ifeq(p7(f9(f12(f10(f13(f11(c23)))), f10(f11(f11(f11(f11(f11(f11(f11(c23))))))))), f9(f12(f10(f13(f11(c23)))), f10(f11(f11(f11(f11(f11(f11(f11(c23)))))))))), true, ifeq(p7(f9(f12(f10(f13(f11(c23)))), f14(f4(f6(c21)))), f9(f12(f10(f13(f11(c23)))), f14(c22))), true, p7(f8(f9(f12(f10(f13(f11(c23)))), f14(f4(f6(c21)))), f9(f12(f10(f13(f11(c23)))), f10(f11(f11(f11(f11(f11(f11(f11(c23)))))))))), f8(f9(f12(f10(f13(f11(c23)))), f14(c22)), f9(f12(f10(f13(f11(c23)))), f10(f11(f11(f11(f11(f11(f11(f11(c23))))))))))), true), true), true, p19(f15(f16(c21)), f8(f9(f12(f10(f13(f11(c23)))), f14(c22)), f9(f12(f10(f13(f11(c23)))), f10(f11(f11(f11(f11(f11(f11(f11(c23))))))))))), true), true)
% 2.40/0.55 = { by axiom 2 (p7_3) }
% 2.40/0.55 ifeq(p19(f15(f16(c21)), f8(f9(f12(f10(f13(f11(c23)))), f14(f4(f6(c21)))), f9(f12(f10(f13(f11(c23)))), f10(f11(f11(f11(f11(f11(f11(f11(c23))))))))))), true, ifeq(ifeq(true, true, ifeq(p7(f9(f12(f10(f13(f11(c23)))), f14(f4(f6(c21)))), f9(f12(f10(f13(f11(c23)))), f14(c22))), true, p7(f8(f9(f12(f10(f13(f11(c23)))), f14(f4(f6(c21)))), f9(f12(f10(f13(f11(c23)))), f10(f11(f11(f11(f11(f11(f11(f11(c23)))))))))), f8(f9(f12(f10(f13(f11(c23)))), f14(c22)), f9(f12(f10(f13(f11(c23)))), f10(f11(f11(f11(f11(f11(f11(f11(c23))))))))))), true), true), true, p19(f15(f16(c21)), f8(f9(f12(f10(f13(f11(c23)))), f14(c22)), f9(f12(f10(f13(f11(c23)))), f10(f11(f11(f11(f11(f11(f11(f11(c23))))))))))), true), true)
% 2.40/0.55 = { by axiom 3 (ifeq_axiom) }
% 2.40/0.55 ifeq(p19(f15(f16(c21)), f8(f9(f12(f10(f13(f11(c23)))), f14(f4(f6(c21)))), f9(f12(f10(f13(f11(c23)))), f10(f11(f11(f11(f11(f11(f11(f11(c23))))))))))), true, ifeq(ifeq(p7(f9(f12(f10(f13(f11(c23)))), f14(f4(f6(c21)))), f9(f12(f10(f13(f11(c23)))), f14(c22))), true, p7(f8(f9(f12(f10(f13(f11(c23)))), f14(f4(f6(c21)))), f9(f12(f10(f13(f11(c23)))), f10(f11(f11(f11(f11(f11(f11(f11(c23)))))))))), f8(f9(f12(f10(f13(f11(c23)))), f14(c22)), f9(f12(f10(f13(f11(c23)))), f10(f11(f11(f11(f11(f11(f11(f11(c23))))))))))), true), true, p19(f15(f16(c21)), f8(f9(f12(f10(f13(f11(c23)))), f14(c22)), f9(f12(f10(f13(f11(c23)))), f10(f11(f11(f11(f11(f11(f11(f11(c23))))))))))), true), true)
% 2.40/0.55 = { by axiom 3 (ifeq_axiom) R->L }
% 2.40/0.56 ifeq(p19(f15(f16(c21)), f8(f9(f12(f10(f13(f11(c23)))), f14(f4(f6(c21)))), f9(f12(f10(f13(f11(c23)))), f10(f11(f11(f11(f11(f11(f11(f11(c23))))))))))), true, ifeq(ifeq(ifeq(true, true, p7(f9(f12(f10(f13(f11(c23)))), f14(f4(f6(c21)))), f9(f12(f10(f13(f11(c23)))), f14(c22))), true), true, p7(f8(f9(f12(f10(f13(f11(c23)))), f14(f4(f6(c21)))), f9(f12(f10(f13(f11(c23)))), f10(f11(f11(f11(f11(f11(f11(f11(c23)))))))))), f8(f9(f12(f10(f13(f11(c23)))), f14(c22)), f9(f12(f10(f13(f11(c23)))), f10(f11(f11(f11(f11(f11(f11(f11(c23))))))))))), true), true, p19(f15(f16(c21)), f8(f9(f12(f10(f13(f11(c23)))), f14(c22)), f9(f12(f10(f13(f11(c23)))), f10(f11(f11(f11(f11(f11(f11(f11(c23))))))))))), true), true)
% 2.40/0.56 = { by axiom 5 (p3_15) R->L }
% 2.40/0.56 ifeq(p19(f15(f16(c21)), f8(f9(f12(f10(f13(f11(c23)))), f14(f4(f6(c21)))), f9(f12(f10(f13(f11(c23)))), f10(f11(f11(f11(f11(f11(f11(f11(c23))))))))))), true, ifeq(ifeq(ifeq(ifeq(p3(f4(f6(c21)), c22), true, p3(f14(f4(f6(c21))), f14(c22)), true), true, p7(f9(f12(f10(f13(f11(c23)))), f14(f4(f6(c21)))), f9(f12(f10(f13(f11(c23)))), f14(c22))), true), true, p7(f8(f9(f12(f10(f13(f11(c23)))), f14(f4(f6(c21)))), f9(f12(f10(f13(f11(c23)))), f10(f11(f11(f11(f11(f11(f11(f11(c23)))))))))), f8(f9(f12(f10(f13(f11(c23)))), f14(c22)), f9(f12(f10(f13(f11(c23)))), f10(f11(f11(f11(f11(f11(f11(f11(c23))))))))))), true), true, p19(f15(f16(c21)), f8(f9(f12(f10(f13(f11(c23)))), f14(c22)), f9(f12(f10(f13(f11(c23)))), f10(f11(f11(f11(f11(f11(f11(f11(c23))))))))))), true), true)
% 2.40/0.56 = { by axiom 4 (p3_7) }
% 2.40/0.56 ifeq(p19(f15(f16(c21)), f8(f9(f12(f10(f13(f11(c23)))), f14(f4(f6(c21)))), f9(f12(f10(f13(f11(c23)))), f10(f11(f11(f11(f11(f11(f11(f11(c23))))))))))), true, ifeq(ifeq(ifeq(ifeq(true, true, p3(f14(f4(f6(c21))), f14(c22)), true), true, p7(f9(f12(f10(f13(f11(c23)))), f14(f4(f6(c21)))), f9(f12(f10(f13(f11(c23)))), f14(c22))), true), true, p7(f8(f9(f12(f10(f13(f11(c23)))), f14(f4(f6(c21)))), f9(f12(f10(f13(f11(c23)))), f10(f11(f11(f11(f11(f11(f11(f11(c23)))))))))), f8(f9(f12(f10(f13(f11(c23)))), f14(c22)), f9(f12(f10(f13(f11(c23)))), f10(f11(f11(f11(f11(f11(f11(f11(c23))))))))))), true), true, p19(f15(f16(c21)), f8(f9(f12(f10(f13(f11(c23)))), f14(c22)), f9(f12(f10(f13(f11(c23)))), f10(f11(f11(f11(f11(f11(f11(f11(c23))))))))))), true), true)
% 2.40/0.56 = { by axiom 3 (ifeq_axiom) }
% 2.40/0.56 ifeq(p19(f15(f16(c21)), f8(f9(f12(f10(f13(f11(c23)))), f14(f4(f6(c21)))), f9(f12(f10(f13(f11(c23)))), f10(f11(f11(f11(f11(f11(f11(f11(c23))))))))))), true, ifeq(ifeq(ifeq(p3(f14(f4(f6(c21))), f14(c22)), true, p7(f9(f12(f10(f13(f11(c23)))), f14(f4(f6(c21)))), f9(f12(f10(f13(f11(c23)))), f14(c22))), true), true, p7(f8(f9(f12(f10(f13(f11(c23)))), f14(f4(f6(c21)))), f9(f12(f10(f13(f11(c23)))), f10(f11(f11(f11(f11(f11(f11(f11(c23)))))))))), f8(f9(f12(f10(f13(f11(c23)))), f14(c22)), f9(f12(f10(f13(f11(c23)))), f10(f11(f11(f11(f11(f11(f11(f11(c23))))))))))), true), true, p19(f15(f16(c21)), f8(f9(f12(f10(f13(f11(c23)))), f14(c22)), f9(f12(f10(f13(f11(c23)))), f10(f11(f11(f11(f11(f11(f11(f11(c23))))))))))), true), true)
% 2.40/0.56 = { by axiom 3 (ifeq_axiom) R->L }
% 2.40/0.57 ifeq(p19(f15(f16(c21)), f8(f9(f12(f10(f13(f11(c23)))), f14(f4(f6(c21)))), f9(f12(f10(f13(f11(c23)))), f10(f11(f11(f11(f11(f11(f11(f11(c23))))))))))), true, ifeq(ifeq(ifeq(p3(f14(f4(f6(c21))), f14(c22)), true, ifeq(true, true, p7(f9(f12(f10(f13(f11(c23)))), f14(f4(f6(c21)))), f9(f12(f10(f13(f11(c23)))), f14(c22))), true), true), true, p7(f8(f9(f12(f10(f13(f11(c23)))), f14(f4(f6(c21)))), f9(f12(f10(f13(f11(c23)))), f10(f11(f11(f11(f11(f11(f11(f11(c23)))))))))), f8(f9(f12(f10(f13(f11(c23)))), f14(c22)), f9(f12(f10(f13(f11(c23)))), f10(f11(f11(f11(f11(f11(f11(f11(c23))))))))))), true), true, p19(f15(f16(c21)), f8(f9(f12(f10(f13(f11(c23)))), f14(c22)), f9(f12(f10(f13(f11(c23)))), f10(f11(f11(f11(f11(f11(f11(f11(c23))))))))))), true), true)
% 2.40/0.57 = { by axiom 2 (p7_3) R->L }
% 2.40/0.57 ifeq(p19(f15(f16(c21)), f8(f9(f12(f10(f13(f11(c23)))), f14(f4(f6(c21)))), f9(f12(f10(f13(f11(c23)))), f10(f11(f11(f11(f11(f11(f11(f11(c23))))))))))), true, ifeq(ifeq(ifeq(p3(f14(f4(f6(c21))), f14(c22)), true, ifeq(p7(f12(f10(f13(f11(c23)))), f12(f10(f13(f11(c23))))), true, p7(f9(f12(f10(f13(f11(c23)))), f14(f4(f6(c21)))), f9(f12(f10(f13(f11(c23)))), f14(c22))), true), true), true, p7(f8(f9(f12(f10(f13(f11(c23)))), f14(f4(f6(c21)))), f9(f12(f10(f13(f11(c23)))), f10(f11(f11(f11(f11(f11(f11(f11(c23)))))))))), f8(f9(f12(f10(f13(f11(c23)))), f14(c22)), f9(f12(f10(f13(f11(c23)))), f10(f11(f11(f11(f11(f11(f11(f11(c23))))))))))), true), true, p19(f15(f16(c21)), f8(f9(f12(f10(f13(f11(c23)))), f14(c22)), f9(f12(f10(f13(f11(c23)))), f10(f11(f11(f11(f11(f11(f11(f11(c23))))))))))), true), true)
% 2.40/0.57 = { by axiom 7 (p7_25) }
% 2.40/0.57 ifeq(p19(f15(f16(c21)), f8(f9(f12(f10(f13(f11(c23)))), f14(f4(f6(c21)))), f9(f12(f10(f13(f11(c23)))), f10(f11(f11(f11(f11(f11(f11(f11(c23))))))))))), true, ifeq(ifeq(true, true, p7(f8(f9(f12(f10(f13(f11(c23)))), f14(f4(f6(c21)))), f9(f12(f10(f13(f11(c23)))), f10(f11(f11(f11(f11(f11(f11(f11(c23)))))))))), f8(f9(f12(f10(f13(f11(c23)))), f14(c22)), f9(f12(f10(f13(f11(c23)))), f10(f11(f11(f11(f11(f11(f11(f11(c23))))))))))), true), true, p19(f15(f16(c21)), f8(f9(f12(f10(f13(f11(c23)))), f14(c22)), f9(f12(f10(f13(f11(c23)))), f10(f11(f11(f11(f11(f11(f11(f11(c23))))))))))), true), true)
% 2.40/0.57 = { by axiom 3 (ifeq_axiom) }
% 2.40/0.57 ifeq(p19(f15(f16(c21)), f8(f9(f12(f10(f13(f11(c23)))), f14(f4(f6(c21)))), f9(f12(f10(f13(f11(c23)))), f10(f11(f11(f11(f11(f11(f11(f11(c23))))))))))), true, ifeq(p7(f8(f9(f12(f10(f13(f11(c23)))), f14(f4(f6(c21)))), f9(f12(f10(f13(f11(c23)))), f10(f11(f11(f11(f11(f11(f11(f11(c23)))))))))), f8(f9(f12(f10(f13(f11(c23)))), f14(c22)), f9(f12(f10(f13(f11(c23)))), f10(f11(f11(f11(f11(f11(f11(f11(c23))))))))))), true, p19(f15(f16(c21)), f8(f9(f12(f10(f13(f11(c23)))), f14(c22)), f9(f12(f10(f13(f11(c23)))), f10(f11(f11(f11(f11(f11(f11(f11(c23))))))))))), true), true)
% 2.40/0.57 = { by axiom 3 (ifeq_axiom) R->L }
% 2.40/0.57 ifeq(p19(f15(f16(c21)), f8(f9(f12(f10(f13(f11(c23)))), f14(f4(f6(c21)))), f9(f12(f10(f13(f11(c23)))), f10(f11(f11(f11(f11(f11(f11(f11(c23))))))))))), true, ifeq(p7(f8(f9(f12(f10(f13(f11(c23)))), f14(f4(f6(c21)))), f9(f12(f10(f13(f11(c23)))), f10(f11(f11(f11(f11(f11(f11(f11(c23)))))))))), f8(f9(f12(f10(f13(f11(c23)))), f14(c22)), f9(f12(f10(f13(f11(c23)))), f10(f11(f11(f11(f11(f11(f11(f11(c23))))))))))), true, ifeq(true, true, p19(f15(f16(c21)), f8(f9(f12(f10(f13(f11(c23)))), f14(c22)), f9(f12(f10(f13(f11(c23)))), f10(f11(f11(f11(f11(f11(f11(f11(c23))))))))))), true), true), true)
% 2.40/0.57 = { by axiom 2 (p7_3) R->L }
% 2.40/0.58 ifeq(p19(f15(f16(c21)), f8(f9(f12(f10(f13(f11(c23)))), f14(f4(f6(c21)))), f9(f12(f10(f13(f11(c23)))), f10(f11(f11(f11(f11(f11(f11(f11(c23))))))))))), true, ifeq(p7(f8(f9(f12(f10(f13(f11(c23)))), f14(f4(f6(c21)))), f9(f12(f10(f13(f11(c23)))), f10(f11(f11(f11(f11(f11(f11(f11(c23)))))))))), f8(f9(f12(f10(f13(f11(c23)))), f14(c22)), f9(f12(f10(f13(f11(c23)))), f10(f11(f11(f11(f11(f11(f11(f11(c23))))))))))), true, ifeq(p7(f15(f16(c21)), f15(f16(c21))), true, p19(f15(f16(c21)), f8(f9(f12(f10(f13(f11(c23)))), f14(c22)), f9(f12(f10(f13(f11(c23)))), f10(f11(f11(f11(f11(f11(f11(f11(c23))))))))))), true), true), true)
% 2.40/0.58 = { by axiom 8 (p19_23) }
% 2.40/0.58 true
% 2.40/0.58 % SZS output end Proof
% 2.40/0.58
% 2.40/0.58 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------