%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : SYN617-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n008.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 2.67s 0.61s
% Output : Proof 2.67s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN617-1 : 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 : n008.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
% 0.08/0.17 % CPULimit : 300
% 0.08/0.17 % WCLimit : 300
% 0.08/0.17 % DateTime : Mon Sep 28 16:36:54 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.67/0.61 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
% 2.67/0.61
% 2.67/0.61 % SZS status Unsatisfiable
% 2.67/0.61
% 2.67/0.64 % SZS output start Proof
% 2.67/0.64 Axiom 1 (p2_4): p2(X, X) = true.
% 2.67/0.64 Axiom 2 (p11_1): p11(X, X) = true.
% 2.67/0.64 Axiom 3 (p13_5): p13(X, X) = true.
% 2.67/0.64 Axiom 4 (p19_6): p19(c21, c22) = true.
% 2.67/0.64 Axiom 5 (ifeq_axiom): ifeq(X, X, Y, Z) = Y.
% 2.67/0.64 Axiom 6 (p11_7): p11(f12(f14(X, Y)), Y) = true.
% 2.67/0.64 Axiom 7 (p13_19): p13(f15(f3(X), Y), f15(X, f12(Y))) = true.
% 2.67/0.64 Axiom 8 (p13_24): ifeq(p13(X, Y), true, ifeq(p13(X, Z), true, p13(Z, Y), true), true) = true.
% 2.67/0.64 Axiom 9 (p13_28): ifeq(p2(X, Y), true, ifeq(p11(Z, W), true, p13(f15(X, Z), f15(Y, W)), true), true) = true.
% 2.67/0.64 Axiom 10 (p2_31): ifeq(p19(X, Y), true, p2(f4(f4(f3(Y), f5(f6(c20))), X), f3(f4(f4(Y, f5(f6(c20))), X))), true) = true.
% 2.67/0.64
% 2.67/0.64 Goal 1 (not_p13_32): p13(f15(f4(f4(f3(c22), f5(f6(c20))), c21), f14(c23, c24)), f15(f4(f4(c22, f5(f6(c20))), c21), c24)) = true.
% 2.67/0.64 Proof:
% 2.67/0.64 p13(f15(f4(f4(f3(c22), f5(f6(c20))), c21), f14(c23, c24)), f15(f4(f4(c22, f5(f6(c20))), c21), c24))
% 2.67/0.64 = { by axiom 5 (ifeq_axiom) R->L }
% 2.67/0.64 ifeq(true, true, p13(f15(f4(f4(f3(c22), f5(f6(c20))), c21), f14(c23, c24)), f15(f4(f4(c22, f5(f6(c20))), c21), c24)), true)
% 2.67/0.64 = { by axiom 5 (ifeq_axiom) R->L }
% 2.67/0.64 ifeq(true, true, ifeq(true, true, p13(f15(f4(f4(f3(c22), f5(f6(c20))), c21), f14(c23, c24)), f15(f4(f4(c22, f5(f6(c20))), c21), c24)), true), true)
% 2.67/0.64 = { by axiom 9 (p13_28) R->L }
% 2.67/0.64 ifeq(ifeq(p2(f4(f4(c22, f5(f6(c20))), c21), f4(f4(c22, f5(f6(c20))), c21)), true, ifeq(p11(f12(f14(c23, c24)), c24), true, p13(f15(f4(f4(c22, f5(f6(c20))), c21), f12(f14(c23, c24))), f15(f4(f4(c22, f5(f6(c20))), c21), c24)), true), true), true, ifeq(true, true, p13(f15(f4(f4(f3(c22), f5(f6(c20))), c21), f14(c23, c24)), f15(f4(f4(c22, f5(f6(c20))), c21), c24)), true), true)
% 2.67/0.64 = { by axiom 1 (p2_4) }
% 2.67/0.64 ifeq(ifeq(true, true, ifeq(p11(f12(f14(c23, c24)), c24), true, p13(f15(f4(f4(c22, f5(f6(c20))), c21), f12(f14(c23, c24))), f15(f4(f4(c22, f5(f6(c20))), c21), c24)), true), true), true, ifeq(true, true, p13(f15(f4(f4(f3(c22), f5(f6(c20))), c21), f14(c23, c24)), f15(f4(f4(c22, f5(f6(c20))), c21), c24)), true), true)
% 2.67/0.65 = { by axiom 5 (ifeq_axiom) }
% 2.67/0.65 ifeq(ifeq(p11(f12(f14(c23, c24)), c24), true, p13(f15(f4(f4(c22, f5(f6(c20))), c21), f12(f14(c23, c24))), f15(f4(f4(c22, f5(f6(c20))), c21), c24)), true), true, ifeq(true, true, p13(f15(f4(f4(f3(c22), f5(f6(c20))), c21), f14(c23, c24)), f15(f4(f4(c22, f5(f6(c20))), c21), c24)), true), true)
% 2.67/0.65 = { by axiom 6 (p11_7) }
% 2.67/0.65 ifeq(ifeq(true, true, p13(f15(f4(f4(c22, f5(f6(c20))), c21), f12(f14(c23, c24))), f15(f4(f4(c22, f5(f6(c20))), c21), c24)), true), true, ifeq(true, true, p13(f15(f4(f4(f3(c22), f5(f6(c20))), c21), f14(c23, c24)), f15(f4(f4(c22, f5(f6(c20))), c21), c24)), true), true)
% 2.67/0.65 = { by axiom 5 (ifeq_axiom) }
% 2.67/0.65 ifeq(p13(f15(f4(f4(c22, f5(f6(c20))), c21), f12(f14(c23, c24))), f15(f4(f4(c22, f5(f6(c20))), c21), c24)), true, ifeq(true, true, p13(f15(f4(f4(f3(c22), f5(f6(c20))), c21), f14(c23, c24)), f15(f4(f4(c22, f5(f6(c20))), c21), c24)), true), true)
% 2.67/0.65 = { by axiom 8 (p13_24) R->L }
% 2.67/0.65 ifeq(p13(f15(f4(f4(c22, f5(f6(c20))), c21), f12(f14(c23, c24))), f15(f4(f4(c22, f5(f6(c20))), c21), c24)), true, ifeq(ifeq(p13(f15(f3(f4(f4(c22, f5(f6(c20))), c21)), f14(c23, c24)), f15(f4(f4(f3(c22), f5(f6(c20))), c21), f14(c23, c24))), true, ifeq(p13(f15(f3(f4(f4(c22, f5(f6(c20))), c21)), f14(c23, c24)), f15(f4(f4(c22, f5(f6(c20))), c21), f12(f14(c23, c24)))), true, p13(f15(f4(f4(c22, f5(f6(c20))), c21), f12(f14(c23, c24))), f15(f4(f4(f3(c22), f5(f6(c20))), c21), f14(c23, c24))), true), true), true, p13(f15(f4(f4(f3(c22), f5(f6(c20))), c21), f14(c23, c24)), f15(f4(f4(c22, f5(f6(c20))), c21), c24)), true), true)
% 2.67/0.65 = { by axiom 7 (p13_19) }
% 2.67/0.65 ifeq(p13(f15(f4(f4(c22, f5(f6(c20))), c21), f12(f14(c23, c24))), f15(f4(f4(c22, f5(f6(c20))), c21), c24)), true, ifeq(ifeq(p13(f15(f3(f4(f4(c22, f5(f6(c20))), c21)), f14(c23, c24)), f15(f4(f4(f3(c22), f5(f6(c20))), c21), f14(c23, c24))), true, ifeq(true, true, p13(f15(f4(f4(c22, f5(f6(c20))), c21), f12(f14(c23, c24))), f15(f4(f4(f3(c22), f5(f6(c20))), c21), f14(c23, c24))), true), true), true, p13(f15(f4(f4(f3(c22), f5(f6(c20))), c21), f14(c23, c24)), f15(f4(f4(c22, f5(f6(c20))), c21), c24)), true), true)
% 2.67/0.65 = { by axiom 5 (ifeq_axiom) }
% 2.67/0.65 ifeq(p13(f15(f4(f4(c22, f5(f6(c20))), c21), f12(f14(c23, c24))), f15(f4(f4(c22, f5(f6(c20))), c21), c24)), true, ifeq(ifeq(p13(f15(f3(f4(f4(c22, f5(f6(c20))), c21)), f14(c23, c24)), f15(f4(f4(f3(c22), f5(f6(c20))), c21), f14(c23, c24))), true, p13(f15(f4(f4(c22, f5(f6(c20))), c21), f12(f14(c23, c24))), f15(f4(f4(f3(c22), f5(f6(c20))), c21), f14(c23, c24))), true), true, p13(f15(f4(f4(f3(c22), f5(f6(c20))), c21), f14(c23, c24)), f15(f4(f4(c22, f5(f6(c20))), c21), c24)), true), true)
% 2.67/0.65 = { by axiom 5 (ifeq_axiom) R->L }
% 2.67/0.65 ifeq(p13(f15(f4(f4(c22, f5(f6(c20))), c21), f12(f14(c23, c24))), f15(f4(f4(c22, f5(f6(c20))), c21), c24)), true, ifeq(ifeq(ifeq(true, true, p13(f15(f3(f4(f4(c22, f5(f6(c20))), c21)), f14(c23, c24)), f15(f4(f4(f3(c22), f5(f6(c20))), c21), f14(c23, c24))), true), true, p13(f15(f4(f4(c22, f5(f6(c20))), c21), f12(f14(c23, c24))), f15(f4(f4(f3(c22), f5(f6(c20))), c21), f14(c23, c24))), true), true, p13(f15(f4(f4(f3(c22), f5(f6(c20))), c21), f14(c23, c24)), f15(f4(f4(c22, f5(f6(c20))), c21), c24)), true), true)
% 2.67/0.66 = { by axiom 9 (p13_28) R->L }
% 2.67/0.66 ifeq(p13(f15(f4(f4(c22, f5(f6(c20))), c21), f12(f14(c23, c24))), f15(f4(f4(c22, f5(f6(c20))), c21), c24)), true, ifeq(ifeq(ifeq(ifeq(p2(f4(f4(f3(c22), f5(f6(c20))), c21), f3(f4(f4(c22, f5(f6(c20))), c21))), true, ifeq(p11(f14(c23, c24), f14(c23, c24)), true, p13(f15(f4(f4(f3(c22), f5(f6(c20))), c21), f14(c23, c24)), f15(f3(f4(f4(c22, f5(f6(c20))), c21)), f14(c23, c24))), true), true), true, p13(f15(f3(f4(f4(c22, f5(f6(c20))), c21)), f14(c23, c24)), f15(f4(f4(f3(c22), f5(f6(c20))), c21), f14(c23, c24))), true), true, p13(f15(f4(f4(c22, f5(f6(c20))), c21), f12(f14(c23, c24))), f15(f4(f4(f3(c22), f5(f6(c20))), c21), f14(c23, c24))), true), true, p13(f15(f4(f4(f3(c22), f5(f6(c20))), c21), f14(c23, c24)), f15(f4(f4(c22, f5(f6(c20))), c21), c24)), true), true)
% 2.67/0.66 = { by axiom 2 (p11_1) }
% 2.67/0.66 ifeq(p13(f15(f4(f4(c22, f5(f6(c20))), c21), f12(f14(c23, c24))), f15(f4(f4(c22, f5(f6(c20))), c21), c24)), true, ifeq(ifeq(ifeq(ifeq(p2(f4(f4(f3(c22), f5(f6(c20))), c21), f3(f4(f4(c22, f5(f6(c20))), c21))), true, ifeq(true, true, p13(f15(f4(f4(f3(c22), f5(f6(c20))), c21), f14(c23, c24)), f15(f3(f4(f4(c22, f5(f6(c20))), c21)), f14(c23, c24))), true), true), true, p13(f15(f3(f4(f4(c22, f5(f6(c20))), c21)), f14(c23, c24)), f15(f4(f4(f3(c22), f5(f6(c20))), c21), f14(c23, c24))), true), true, p13(f15(f4(f4(c22, f5(f6(c20))), c21), f12(f14(c23, c24))), f15(f4(f4(f3(c22), f5(f6(c20))), c21), f14(c23, c24))), true), true, p13(f15(f4(f4(f3(c22), f5(f6(c20))), c21), f14(c23, c24)), f15(f4(f4(c22, f5(f6(c20))), c21), c24)), true), true)
% 2.67/0.66 = { by axiom 5 (ifeq_axiom) }
% 2.67/0.66 ifeq(p13(f15(f4(f4(c22, f5(f6(c20))), c21), f12(f14(c23, c24))), f15(f4(f4(c22, f5(f6(c20))), c21), c24)), true, ifeq(ifeq(ifeq(ifeq(p2(f4(f4(f3(c22), f5(f6(c20))), c21), f3(f4(f4(c22, f5(f6(c20))), c21))), true, p13(f15(f4(f4(f3(c22), f5(f6(c20))), c21), f14(c23, c24)), f15(f3(f4(f4(c22, f5(f6(c20))), c21)), f14(c23, c24))), true), true, p13(f15(f3(f4(f4(c22, f5(f6(c20))), c21)), f14(c23, c24)), f15(f4(f4(f3(c22), f5(f6(c20))), c21), f14(c23, c24))), true), true, p13(f15(f4(f4(c22, f5(f6(c20))), c21), f12(f14(c23, c24))), f15(f4(f4(f3(c22), f5(f6(c20))), c21), f14(c23, c24))), true), true, p13(f15(f4(f4(f3(c22), f5(f6(c20))), c21), f14(c23, c24)), f15(f4(f4(c22, f5(f6(c20))), c21), c24)), true), true)
% 2.67/0.66 = { by axiom 5 (ifeq_axiom) R->L }
% 2.67/0.66 ifeq(p13(f15(f4(f4(c22, f5(f6(c20))), c21), f12(f14(c23, c24))), f15(f4(f4(c22, f5(f6(c20))), c21), c24)), true, ifeq(ifeq(ifeq(ifeq(ifeq(true, true, p2(f4(f4(f3(c22), f5(f6(c20))), c21), f3(f4(f4(c22, f5(f6(c20))), c21))), true), true, p13(f15(f4(f4(f3(c22), f5(f6(c20))), c21), f14(c23, c24)), f15(f3(f4(f4(c22, f5(f6(c20))), c21)), f14(c23, c24))), true), true, p13(f15(f3(f4(f4(c22, f5(f6(c20))), c21)), f14(c23, c24)), f15(f4(f4(f3(c22), f5(f6(c20))), c21), f14(c23, c24))), true), true, p13(f15(f4(f4(c22, f5(f6(c20))), c21), f12(f14(c23, c24))), f15(f4(f4(f3(c22), f5(f6(c20))), c21), f14(c23, c24))), true), true, p13(f15(f4(f4(f3(c22), f5(f6(c20))), c21), f14(c23, c24)), f15(f4(f4(c22, f5(f6(c20))), c21), c24)), true), true)
% 2.67/0.66 = { by axiom 4 (p19_6) R->L }
% 2.67/0.67 ifeq(p13(f15(f4(f4(c22, f5(f6(c20))), c21), f12(f14(c23, c24))), f15(f4(f4(c22, f5(f6(c20))), c21), c24)), true, ifeq(ifeq(ifeq(ifeq(ifeq(p19(c21, c22), true, p2(f4(f4(f3(c22), f5(f6(c20))), c21), f3(f4(f4(c22, f5(f6(c20))), c21))), true), true, p13(f15(f4(f4(f3(c22), f5(f6(c20))), c21), f14(c23, c24)), f15(f3(f4(f4(c22, f5(f6(c20))), c21)), f14(c23, c24))), true), true, p13(f15(f3(f4(f4(c22, f5(f6(c20))), c21)), f14(c23, c24)), f15(f4(f4(f3(c22), f5(f6(c20))), c21), f14(c23, c24))), true), true, p13(f15(f4(f4(c22, f5(f6(c20))), c21), f12(f14(c23, c24))), f15(f4(f4(f3(c22), f5(f6(c20))), c21), f14(c23, c24))), true), true, p13(f15(f4(f4(f3(c22), f5(f6(c20))), c21), f14(c23, c24)), f15(f4(f4(c22, f5(f6(c20))), c21), c24)), true), true)
% 2.67/0.67 = { by axiom 10 (p2_31) }
% 2.67/0.67 ifeq(p13(f15(f4(f4(c22, f5(f6(c20))), c21), f12(f14(c23, c24))), f15(f4(f4(c22, f5(f6(c20))), c21), c24)), true, ifeq(ifeq(ifeq(ifeq(true, true, p13(f15(f4(f4(f3(c22), f5(f6(c20))), c21), f14(c23, c24)), f15(f3(f4(f4(c22, f5(f6(c20))), c21)), f14(c23, c24))), true), true, p13(f15(f3(f4(f4(c22, f5(f6(c20))), c21)), f14(c23, c24)), f15(f4(f4(f3(c22), f5(f6(c20))), c21), f14(c23, c24))), true), true, p13(f15(f4(f4(c22, f5(f6(c20))), c21), f12(f14(c23, c24))), f15(f4(f4(f3(c22), f5(f6(c20))), c21), f14(c23, c24))), true), true, p13(f15(f4(f4(f3(c22), f5(f6(c20))), c21), f14(c23, c24)), f15(f4(f4(c22, f5(f6(c20))), c21), c24)), true), true)
% 2.67/0.67 = { by axiom 5 (ifeq_axiom) }
% 2.67/0.67 ifeq(p13(f15(f4(f4(c22, f5(f6(c20))), c21), f12(f14(c23, c24))), f15(f4(f4(c22, f5(f6(c20))), c21), c24)), true, ifeq(ifeq(ifeq(p13(f15(f4(f4(f3(c22), f5(f6(c20))), c21), f14(c23, c24)), f15(f3(f4(f4(c22, f5(f6(c20))), c21)), f14(c23, c24))), true, p13(f15(f3(f4(f4(c22, f5(f6(c20))), c21)), f14(c23, c24)), f15(f4(f4(f3(c22), f5(f6(c20))), c21), f14(c23, c24))), true), true, p13(f15(f4(f4(c22, f5(f6(c20))), c21), f12(f14(c23, c24))), f15(f4(f4(f3(c22), f5(f6(c20))), c21), f14(c23, c24))), true), true, p13(f15(f4(f4(f3(c22), f5(f6(c20))), c21), f14(c23, c24)), f15(f4(f4(c22, f5(f6(c20))), c21), c24)), true), true)
% 2.67/0.67 = { by axiom 5 (ifeq_axiom) R->L }
% 2.67/0.67 ifeq(p13(f15(f4(f4(c22, f5(f6(c20))), c21), f12(f14(c23, c24))), f15(f4(f4(c22, f5(f6(c20))), c21), c24)), true, ifeq(ifeq(ifeq(true, true, ifeq(p13(f15(f4(f4(f3(c22), f5(f6(c20))), c21), f14(c23, c24)), f15(f3(f4(f4(c22, f5(f6(c20))), c21)), f14(c23, c24))), true, p13(f15(f3(f4(f4(c22, f5(f6(c20))), c21)), f14(c23, c24)), f15(f4(f4(f3(c22), f5(f6(c20))), c21), f14(c23, c24))), true), true), true, p13(f15(f4(f4(c22, f5(f6(c20))), c21), f12(f14(c23, c24))), f15(f4(f4(f3(c22), f5(f6(c20))), c21), f14(c23, c24))), true), true, p13(f15(f4(f4(f3(c22), f5(f6(c20))), c21), f14(c23, c24)), f15(f4(f4(c22, f5(f6(c20))), c21), c24)), true), true)
% 2.67/0.67 = { by axiom 3 (p13_5) R->L }
% 2.67/0.67 ifeq(p13(f15(f4(f4(c22, f5(f6(c20))), c21), f12(f14(c23, c24))), f15(f4(f4(c22, f5(f6(c20))), c21), c24)), true, ifeq(ifeq(ifeq(p13(f15(f4(f4(f3(c22), f5(f6(c20))), c21), f14(c23, c24)), f15(f4(f4(f3(c22), f5(f6(c20))), c21), f14(c23, c24))), true, ifeq(p13(f15(f4(f4(f3(c22), f5(f6(c20))), c21), f14(c23, c24)), f15(f3(f4(f4(c22, f5(f6(c20))), c21)), f14(c23, c24))), true, p13(f15(f3(f4(f4(c22, f5(f6(c20))), c21)), f14(c23, c24)), f15(f4(f4(f3(c22), f5(f6(c20))), c21), f14(c23, c24))), true), true), true, p13(f15(f4(f4(c22, f5(f6(c20))), c21), f12(f14(c23, c24))), f15(f4(f4(f3(c22), f5(f6(c20))), c21), f14(c23, c24))), true), true, p13(f15(f4(f4(f3(c22), f5(f6(c20))), c21), f14(c23, c24)), f15(f4(f4(c22, f5(f6(c20))), c21), c24)), true), true)
% 2.67/0.67 = { by axiom 8 (p13_24) }
% 2.67/0.67 ifeq(p13(f15(f4(f4(c22, f5(f6(c20))), c21), f12(f14(c23, c24))), f15(f4(f4(c22, f5(f6(c20))), c21), c24)), true, ifeq(ifeq(true, true, p13(f15(f4(f4(c22, f5(f6(c20))), c21), f12(f14(c23, c24))), f15(f4(f4(f3(c22), f5(f6(c20))), c21), f14(c23, c24))), true), true, p13(f15(f4(f4(f3(c22), f5(f6(c20))), c21), f14(c23, c24)), f15(f4(f4(c22, f5(f6(c20))), c21), c24)), true), true)
% 2.67/0.67 = { by axiom 5 (ifeq_axiom) }
% 2.67/0.67 ifeq(p13(f15(f4(f4(c22, f5(f6(c20))), c21), f12(f14(c23, c24))), f15(f4(f4(c22, f5(f6(c20))), c21), c24)), true, ifeq(p13(f15(f4(f4(c22, f5(f6(c20))), c21), f12(f14(c23, c24))), f15(f4(f4(f3(c22), f5(f6(c20))), c21), f14(c23, c24))), true, p13(f15(f4(f4(f3(c22), f5(f6(c20))), c21), f14(c23, c24)), f15(f4(f4(c22, f5(f6(c20))), c21), c24)), true), true)
% 2.67/0.67 = { by axiom 8 (p13_24) }
% 2.67/0.67 true
% 2.67/0.67 % SZS output end Proof
% 2.67/0.67
% 2.67/0.67 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------