%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : SYN598-1 : 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 01:48:09 PM UTC 2026
% Result : Unsatisfiable 2.09s 0.53s
% Output : Proof 2.09s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN598-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.06/0.19 % Computer : n010.cluster.edu
% 0.06/0.19 % Model : x86_64 x86_64
% 0.06/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.19 % Memory : 8046.5625MB
% 0.06/0.19 % OS : Linux 6.8.0-71-generic
% 0.06/0.19 % CPULimit : 300
% 0.06/0.19 % WCLimit : 300
% 0.06/0.19 % DateTime : Mon Sep 28 16:34:32 UTC 2026
% 0.06/0.19 % CPUTime :
% 0.06/0.19 Running run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.09/0.53 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
% 2.09/0.53
% 2.09/0.53 % SZS status Unsatisfiable
% 2.09/0.53
% 2.09/0.54 % SZS output start Proof
% 2.09/0.54 Axiom 1 (c21_is_p18_2): p18(c21) = true.
% 2.09/0.54 Axiom 2 (p7_3): p7(X, X) = true.
% 2.09/0.55 Axiom 3 (ifeq_axiom): ifeq(X, X, Y, Z) = Y.
% 2.09/0.55 Axiom 4 (p3_7): p3(f4(f6(c21)), c22) = true.
% 2.09/0.55 Axiom 5 (p7_26): ifeq(p7(X, Y), true, ifeq(p7(Z, W), true, p7(f10(Z, X), f10(W, Y)), true), true) = true.
% 2.09/0.55 Axiom 6 (p7_25): ifeq(p3(X, Y), true, ifeq(p7(Z, W), true, p7(f11(Z, X), f11(W, Y)), true), true) = true.
% 2.09/0.55 Axiom 7 (p19_23): ifeq(p19(X, Y), true, ifeq(p7(Y, Z), true, ifeq(p7(X, W), true, p19(W, Z), true), true), true) = true.
% 2.09/0.55 Axiom 8 (p19_28): ifeq(p18(X), true, p19(f10(f11(f14(f12(f15(f13(c23)))), f4(f6(X))), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))), f8(f9(X))), true) = true.
% 2.09/0.55
% 2.09/0.55 Goal 1 (not_p19_27): p19(f10(f11(f14(f12(f15(f13(c23)))), c22), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))), f8(f9(c21))) = true.
% 2.09/0.55 Proof:
% 2.09/0.55 p19(f10(f11(f14(f12(f15(f13(c23)))), c22), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))), f8(f9(c21)))
% 2.09/0.55 = { by axiom 3 (ifeq_axiom) R->L }
% 2.09/0.55 ifeq(true, true, p19(f10(f11(f14(f12(f15(f13(c23)))), c22), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))), f8(f9(c21))), true)
% 2.09/0.55 = { by axiom 3 (ifeq_axiom) R->L }
% 2.09/0.55 ifeq(true, true, ifeq(true, true, p19(f10(f11(f14(f12(f15(f13(c23)))), c22), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))), f8(f9(c21))), true), true)
% 2.09/0.55 = { by axiom 8 (p19_28) R->L }
% 2.09/0.55 ifeq(ifeq(p18(c21), true, p19(f10(f11(f14(f12(f15(f13(c23)))), f4(f6(c21))), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))), f8(f9(c21))), true), true, ifeq(true, true, p19(f10(f11(f14(f12(f15(f13(c23)))), c22), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))), f8(f9(c21))), true), true)
% 2.09/0.55 = { by axiom 1 (c21_is_p18_2) }
% 2.09/0.55 ifeq(ifeq(true, true, p19(f10(f11(f14(f12(f15(f13(c23)))), f4(f6(c21))), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))), f8(f9(c21))), true), true, ifeq(true, true, p19(f10(f11(f14(f12(f15(f13(c23)))), c22), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))), f8(f9(c21))), true), true)
% 2.09/0.55 = { by axiom 3 (ifeq_axiom) }
% 2.09/0.55 ifeq(p19(f10(f11(f14(f12(f15(f13(c23)))), f4(f6(c21))), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))), f8(f9(c21))), true, ifeq(true, true, p19(f10(f11(f14(f12(f15(f13(c23)))), c22), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))), f8(f9(c21))), true), true)
% 2.09/0.55 = { by axiom 5 (p7_26) R->L }
% 2.09/0.55 ifeq(p19(f10(f11(f14(f12(f15(f13(c23)))), f4(f6(c21))), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))), f8(f9(c21))), true, ifeq(ifeq(p7(f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23))))))))), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))), true, ifeq(p7(f11(f14(f12(f15(f13(c23)))), f4(f6(c21))), f11(f14(f12(f15(f13(c23)))), c22)), true, p7(f10(f11(f14(f12(f15(f13(c23)))), f4(f6(c21))), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))), f10(f11(f14(f12(f15(f13(c23)))), c22), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23))))))))))), true), true), true, p19(f10(f11(f14(f12(f15(f13(c23)))), c22), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))), f8(f9(c21))), true), true)
% 2.09/0.55 = { by axiom 2 (p7_3) }
% 2.09/0.55 ifeq(p19(f10(f11(f14(f12(f15(f13(c23)))), f4(f6(c21))), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))), f8(f9(c21))), true, ifeq(ifeq(true, true, ifeq(p7(f11(f14(f12(f15(f13(c23)))), f4(f6(c21))), f11(f14(f12(f15(f13(c23)))), c22)), true, p7(f10(f11(f14(f12(f15(f13(c23)))), f4(f6(c21))), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))), f10(f11(f14(f12(f15(f13(c23)))), c22), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23))))))))))), true), true), true, p19(f10(f11(f14(f12(f15(f13(c23)))), c22), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))), f8(f9(c21))), true), true)
% 2.09/0.55 = { by axiom 3 (ifeq_axiom) }
% 2.09/0.55 ifeq(p19(f10(f11(f14(f12(f15(f13(c23)))), f4(f6(c21))), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))), f8(f9(c21))), true, ifeq(ifeq(p7(f11(f14(f12(f15(f13(c23)))), f4(f6(c21))), f11(f14(f12(f15(f13(c23)))), c22)), true, p7(f10(f11(f14(f12(f15(f13(c23)))), f4(f6(c21))), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))), f10(f11(f14(f12(f15(f13(c23)))), c22), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23))))))))))), true), true, p19(f10(f11(f14(f12(f15(f13(c23)))), c22), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))), f8(f9(c21))), true), true)
% 2.09/0.55 = { by axiom 3 (ifeq_axiom) R->L }
% 2.09/0.55 ifeq(p19(f10(f11(f14(f12(f15(f13(c23)))), f4(f6(c21))), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))), f8(f9(c21))), true, ifeq(ifeq(ifeq(true, true, p7(f11(f14(f12(f15(f13(c23)))), f4(f6(c21))), f11(f14(f12(f15(f13(c23)))), c22)), true), true, p7(f10(f11(f14(f12(f15(f13(c23)))), f4(f6(c21))), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))), f10(f11(f14(f12(f15(f13(c23)))), c22), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23))))))))))), true), true, p19(f10(f11(f14(f12(f15(f13(c23)))), c22), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))), f8(f9(c21))), true), true)
% 2.09/0.56 = { by axiom 4 (p3_7) R->L }
% 2.09/0.56 ifeq(p19(f10(f11(f14(f12(f15(f13(c23)))), f4(f6(c21))), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))), f8(f9(c21))), true, ifeq(ifeq(ifeq(p3(f4(f6(c21)), c22), true, p7(f11(f14(f12(f15(f13(c23)))), f4(f6(c21))), f11(f14(f12(f15(f13(c23)))), c22)), true), true, p7(f10(f11(f14(f12(f15(f13(c23)))), f4(f6(c21))), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))), f10(f11(f14(f12(f15(f13(c23)))), c22), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23))))))))))), true), true, p19(f10(f11(f14(f12(f15(f13(c23)))), c22), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))), f8(f9(c21))), true), true)
% 2.09/0.56 = { by axiom 3 (ifeq_axiom) R->L }
% 2.09/0.56 ifeq(p19(f10(f11(f14(f12(f15(f13(c23)))), f4(f6(c21))), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))), f8(f9(c21))), true, ifeq(ifeq(ifeq(p3(f4(f6(c21)), c22), true, ifeq(true, true, p7(f11(f14(f12(f15(f13(c23)))), f4(f6(c21))), f11(f14(f12(f15(f13(c23)))), c22)), true), true), true, p7(f10(f11(f14(f12(f15(f13(c23)))), f4(f6(c21))), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))), f10(f11(f14(f12(f15(f13(c23)))), c22), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23))))))))))), true), true, p19(f10(f11(f14(f12(f15(f13(c23)))), c22), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))), f8(f9(c21))), true), true)
% 2.09/0.56 = { by axiom 2 (p7_3) R->L }
% 2.09/0.56 ifeq(p19(f10(f11(f14(f12(f15(f13(c23)))), f4(f6(c21))), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))), f8(f9(c21))), true, ifeq(ifeq(ifeq(p3(f4(f6(c21)), c22), true, ifeq(p7(f14(f12(f15(f13(c23)))), f14(f12(f15(f13(c23))))), true, p7(f11(f14(f12(f15(f13(c23)))), f4(f6(c21))), f11(f14(f12(f15(f13(c23)))), c22)), true), true), true, p7(f10(f11(f14(f12(f15(f13(c23)))), f4(f6(c21))), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))), f10(f11(f14(f12(f15(f13(c23)))), c22), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23))))))))))), true), true, p19(f10(f11(f14(f12(f15(f13(c23)))), c22), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))), f8(f9(c21))), true), true)
% 2.09/0.56 = { by axiom 6 (p7_25) }
% 2.09/0.56 ifeq(p19(f10(f11(f14(f12(f15(f13(c23)))), f4(f6(c21))), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))), f8(f9(c21))), true, ifeq(ifeq(true, true, p7(f10(f11(f14(f12(f15(f13(c23)))), f4(f6(c21))), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))), f10(f11(f14(f12(f15(f13(c23)))), c22), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23))))))))))), true), true, p19(f10(f11(f14(f12(f15(f13(c23)))), c22), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))), f8(f9(c21))), true), true)
% 2.09/0.56 = { by axiom 3 (ifeq_axiom) }
% 2.09/0.56 ifeq(p19(f10(f11(f14(f12(f15(f13(c23)))), f4(f6(c21))), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))), f8(f9(c21))), true, ifeq(p7(f10(f11(f14(f12(f15(f13(c23)))), f4(f6(c21))), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))), f10(f11(f14(f12(f15(f13(c23)))), c22), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23))))))))))), true, p19(f10(f11(f14(f12(f15(f13(c23)))), c22), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))), f8(f9(c21))), true), true)
% 2.09/0.56 = { by axiom 3 (ifeq_axiom) R->L }
% 2.09/0.56 ifeq(p19(f10(f11(f14(f12(f15(f13(c23)))), f4(f6(c21))), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))), f8(f9(c21))), true, ifeq(true, true, ifeq(p7(f10(f11(f14(f12(f15(f13(c23)))), f4(f6(c21))), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))), f10(f11(f14(f12(f15(f13(c23)))), c22), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23))))))))))), true, p19(f10(f11(f14(f12(f15(f13(c23)))), c22), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))), f8(f9(c21))), true), true), true)
% 2.09/0.56 = { by axiom 2 (p7_3) R->L }
% 2.09/0.56 ifeq(p19(f10(f11(f14(f12(f15(f13(c23)))), f4(f6(c21))), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))), f8(f9(c21))), true, ifeq(p7(f8(f9(c21)), f8(f9(c21))), true, ifeq(p7(f10(f11(f14(f12(f15(f13(c23)))), f4(f6(c21))), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))), f10(f11(f14(f12(f15(f13(c23)))), c22), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23))))))))))), true, p19(f10(f11(f14(f12(f15(f13(c23)))), c22), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))), f8(f9(c21))), true), true), true)
% 2.09/0.56 = { by axiom 7 (p19_23) }
% 2.09/0.56 true
% 2.09/0.56 % SZS output end Proof
% 2.09/0.56
% 2.09/0.56 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------