%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : SYN708-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n002.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 01:48:18 PM UTC 2026
% Result : Unsatisfiable 6.66s 1.14s
% Output : Proof 7.58s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN708-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.15 % Computer : n002.cluster.edu
% 0.07/0.15 % Model : x86_64 x86_64
% 0.07/0.15 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.15 % Memory : 8046.5625MB
% 0.07/0.15 % OS : Linux 6.8.0-71-generic
% 0.07/0.15 % CPULimit : 300
% 0.07/0.15 % WCLimit : 300
% 0.07/0.15 % DateTime : Mon Sep 28 16:51:06 UTC 2026
% 0.07/0.16 % CPUTime :
% 0.07/0.16 Running run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.66/1.14 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
% 6.66/1.14
% 6.66/1.14 % SZS status Unsatisfiable
% 6.66/1.14
% 6.66/1.17 % SZS output start Proof
% 6.66/1.17 Axiom 1 (c56_is_p38_1): p38(c56) = true.
% 6.66/1.17 Axiom 2 (p16_8): p16(X, X) = true.
% 6.66/1.17 Axiom 3 (p10_3): p10(X, X) = true.
% 6.66/1.17 Axiom 4 (p37_13): p37(f15(c56), c48) = true.
% 6.66/1.17 Axiom 5 (ifeq_axiom): ifeq(X, X, Y, Z) = Y.
% 6.66/1.17 Axiom 6 (p38_15): ifeq(p38(X), true, p38(f15(X)), true) = true.
% 6.66/1.17 Axiom 7 (p16_36): ifeq(p38(X), true, p16(f19(f15(X)), f28(f19(X))), true) = true.
% 6.66/1.17 Axiom 8 (f11_is_p38_64): p38(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44))))) = true.
% 6.66/1.17 Axiom 9 (p10_66): p10(c48, f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44))))) = true.
% 6.66/1.17 Axiom 10 (p39_52): ifeq(p39(X, Y), true, ifeq(p16(X, Z), true, ifeq(p16(Y, W), true, p39(Z, W), true), true), true) = true.
% 6.66/1.17 Axiom 11 (p39_54): ifeq(p37(X, Y), true, ifeq(p38(Y), true, ifeq(p38(X), true, p39(f19(X), f19(Y)), true), true), true) = true.
% 6.66/1.18 Axiom 12 (p37_51): ifeq(p37(X, Y), true, ifeq(p10(X, Z), true, ifeq(p10(Y, W), true, p37(Z, W), true), true), true) = true.
% 6.66/1.18
% 6.66/1.18 Goal 1 (not_p39_69): p39(f28(f19(c56)), f19(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))))) = true.
% 6.66/1.18 Proof:
% 6.66/1.18 p39(f28(f19(c56)), f19(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44))))))
% 6.66/1.18 = { by axiom 5 (ifeq_axiom) R->L }
% 6.66/1.18 ifeq(true, true, p39(f28(f19(c56)), f19(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))))), true)
% 6.66/1.18 = { by axiom 11 (p39_54) R->L }
% 6.66/1.18 ifeq(ifeq(p37(f15(c56), f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44))))), true, ifeq(p38(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44))))), true, ifeq(p38(f15(c56)), true, p39(f19(f15(c56)), f19(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))))), true), true), true), true, p39(f28(f19(c56)), f19(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))))), true)
% 6.66/1.18 = { by axiom 5 (ifeq_axiom) R->L }
% 6.66/1.18 ifeq(ifeq(ifeq(true, true, p37(f15(c56), f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44))))), true), true, ifeq(p38(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44))))), true, ifeq(p38(f15(c56)), true, p39(f19(f15(c56)), f19(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))))), true), true), true), true, p39(f28(f19(c56)), f19(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))))), true)
% 6.66/1.18 = { by axiom 9 (p10_66) R->L }
% 6.66/1.18 ifeq(ifeq(ifeq(p10(c48, f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44))))), true, p37(f15(c56), f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44))))), true), true, ifeq(p38(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44))))), true, ifeq(p38(f15(c56)), true, p39(f19(f15(c56)), f19(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))))), true), true), true), true, p39(f28(f19(c56)), f19(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))))), true)
% 6.66/1.18 = { by axiom 5 (ifeq_axiom) R->L }
% 6.66/1.18 ifeq(ifeq(ifeq(true, true, ifeq(p10(c48, f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44))))), true, p37(f15(c56), f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44))))), true), true), true, ifeq(p38(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44))))), true, ifeq(p38(f15(c56)), true, p39(f19(f15(c56)), f19(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))))), true), true), true), true, p39(f28(f19(c56)), f19(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))))), true)
% 6.66/1.18 = { by axiom 4 (p37_13) R->L }
% 6.66/1.18 ifeq(ifeq(ifeq(p37(f15(c56), c48), true, ifeq(p10(c48, f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44))))), true, p37(f15(c56), f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44))))), true), true), true, ifeq(p38(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44))))), true, ifeq(p38(f15(c56)), true, p39(f19(f15(c56)), f19(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))))), true), true), true), true, p39(f28(f19(c56)), f19(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))))), true)
% 6.66/1.18 = { by axiom 5 (ifeq_axiom) R->L }
% 6.66/1.18 ifeq(ifeq(ifeq(p37(f15(c56), c48), true, ifeq(true, true, ifeq(p10(c48, f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44))))), true, p37(f15(c56), f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44))))), true), true), true), true, ifeq(p38(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44))))), true, ifeq(p38(f15(c56)), true, p39(f19(f15(c56)), f19(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))))), true), true), true), true, p39(f28(f19(c56)), f19(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))))), true)
% 6.66/1.18 = { by axiom 3 (p10_3) R->L }
% 7.58/1.18 ifeq(ifeq(ifeq(p37(f15(c56), c48), true, ifeq(p10(f15(c56), f15(c56)), true, ifeq(p10(c48, f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44))))), true, p37(f15(c56), f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44))))), true), true), true), true, ifeq(p38(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44))))), true, ifeq(p38(f15(c56)), true, p39(f19(f15(c56)), f19(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))))), true), true), true), true, p39(f28(f19(c56)), f19(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))))), true)
% 7.58/1.18 = { by axiom 12 (p37_51) }
% 7.58/1.19 ifeq(ifeq(true, true, ifeq(p38(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44))))), true, ifeq(p38(f15(c56)), true, p39(f19(f15(c56)), f19(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))))), true), true), true), true, p39(f28(f19(c56)), f19(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))))), true)
% 7.58/1.19 = { by axiom 5 (ifeq_axiom) }
% 7.58/1.19 ifeq(ifeq(p38(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44))))), true, ifeq(p38(f15(c56)), true, p39(f19(f15(c56)), f19(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))))), true), true), true, p39(f28(f19(c56)), f19(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))))), true)
% 7.58/1.19 = { by axiom 8 (f11_is_p38_64) }
% 7.58/1.19 ifeq(ifeq(true, true, ifeq(p38(f15(c56)), true, p39(f19(f15(c56)), f19(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))))), true), true), true, p39(f28(f19(c56)), f19(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))))), true)
% 7.58/1.19 = { by axiom 5 (ifeq_axiom) }
% 7.58/1.19 ifeq(ifeq(p38(f15(c56)), true, p39(f19(f15(c56)), f19(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))))), true), true, p39(f28(f19(c56)), f19(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))))), true)
% 7.58/1.19 = { by axiom 5 (ifeq_axiom) R->L }
% 7.58/1.19 ifeq(ifeq(ifeq(true, true, p38(f15(c56)), true), true, p39(f19(f15(c56)), f19(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))))), true), true, p39(f28(f19(c56)), f19(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))))), true)
% 7.58/1.19 = { by axiom 1 (c56_is_p38_1) R->L }
% 7.58/1.19 ifeq(ifeq(ifeq(p38(c56), true, p38(f15(c56)), true), true, p39(f19(f15(c56)), f19(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))))), true), true, p39(f28(f19(c56)), f19(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))))), true)
% 7.58/1.19 = { by axiom 6 (p38_15) }
% 7.58/1.19 ifeq(ifeq(true, true, p39(f19(f15(c56)), f19(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))))), true), true, p39(f28(f19(c56)), f19(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))))), true)
% 7.58/1.19 = { by axiom 5 (ifeq_axiom) }
% 7.58/1.19 ifeq(p39(f19(f15(c56)), f19(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))))), true, p39(f28(f19(c56)), f19(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))))), true)
% 7.58/1.19 = { by axiom 5 (ifeq_axiom) R->L }
% 7.58/1.19 ifeq(p39(f19(f15(c56)), f19(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))))), true, ifeq(true, true, p39(f28(f19(c56)), f19(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))))), true), true)
% 7.58/1.19 = { by axiom 7 (p16_36) R->L }
% 7.58/1.19 ifeq(p39(f19(f15(c56)), f19(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))))), true, ifeq(ifeq(p38(c56), true, p16(f19(f15(c56)), f28(f19(c56))), true), true, p39(f28(f19(c56)), f19(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))))), true), true)
% 7.58/1.19 = { by axiom 1 (c56_is_p38_1) }
% 7.58/1.19 ifeq(p39(f19(f15(c56)), f19(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))))), true, ifeq(ifeq(true, true, p16(f19(f15(c56)), f28(f19(c56))), true), true, p39(f28(f19(c56)), f19(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))))), true), true)
% 7.58/1.19 = { by axiom 5 (ifeq_axiom) }
% 7.58/1.19 ifeq(p39(f19(f15(c56)), f19(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))))), true, ifeq(p16(f19(f15(c56)), f28(f19(c56))), true, p39(f28(f19(c56)), f19(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))))), true), true)
% 7.58/1.19 = { by axiom 5 (ifeq_axiom) R->L }
% 7.58/1.19 ifeq(p39(f19(f15(c56)), f19(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))))), true, ifeq(p16(f19(f15(c56)), f28(f19(c56))), true, ifeq(true, true, p39(f28(f19(c56)), f19(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))))), true), true), true)
% 7.58/1.19 = { by axiom 2 (p16_8) R->L }
% 7.58/1.19 ifeq(p39(f19(f15(c56)), f19(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))))), true, ifeq(p16(f19(f15(c56)), f28(f19(c56))), true, ifeq(p16(f19(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44))))), f19(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))))), true, p39(f28(f19(c56)), f19(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))))), true), true), true)
% 7.58/1.19 = { by axiom 10 (p39_52) }
% 7.58/1.19 true
% 7.58/1.19 % SZS output end Proof
% 7.58/1.19
% 7.58/1.19 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------