%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : SYN570-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n006.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 01:48:07 PM UTC 2026
% Result : Unsatisfiable 0.19s 0.32s
% Output : Proof 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN570-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.03 % Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.06/0.17 % Computer : n006.cluster.edu
% 0.06/0.17 % Model : x86_64 x86_64
% 0.06/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.17 % Memory : 8046.5625MB
% 0.06/0.17 % OS : Linux 6.8.0-71-generic
% 0.06/0.18 % CPULimit : 300
% 0.06/0.18 % WCLimit : 300
% 0.06/0.18 % DateTime : Mon Sep 28 16:28:39 UTC 2026
% 0.06/0.18 % CPUTime :
% 0.06/0.18 Running run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.32 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
% 0.19/0.32
% 0.19/0.32 % SZS status Unsatisfiable
% 0.19/0.32
% 0.19/0.32 % SZS output start Proof
% 0.19/0.32 Axiom 1 (p3_4): p3(X, X) = true.
% 0.19/0.32 Axiom 2 (p7_2): p7(X, X) = true.
% 0.19/0.32 Axiom 3 (p3_9): p3(f4(f5(X)), X) = true.
% 0.19/0.32 Axiom 4 (p2_8): p2(c12, f5(c15)) = true.
% 0.19/0.32 Axiom 5 (p9_7): p9(c15, f8(c13)) = true.
% 0.19/0.32 Axiom 6 (ifeq_axiom): ifeq(X, X, Y, Z) = Y.
% 0.19/0.32 Axiom 7 (p3_13): ifeq(p2(X, Y), true, p3(f4(X), f4(Y)), true) = true.
% 0.19/0.32 Axiom 8 (p3_17): ifeq(p3(X, Y), true, ifeq(p3(X, Z), true, p3(Z, Y), true), true) = true.
% 0.19/0.32 Axiom 9 (p9_19): ifeq(p9(X, Y), true, ifeq(p3(X, Z), true, ifeq(p7(Y, W), true, p9(Z, W), true), true), true) = true.
% 0.19/0.32
% 0.19/0.32 Goal 1 (not_p9_10): p9(f4(c12), f8(c13)) = true.
% 0.19/0.32 Proof:
% 0.19/0.32 p9(f4(c12), f8(c13))
% 0.19/0.32 = { by axiom 6 (ifeq_axiom) R->L }
% 0.19/0.32 ifeq(true, true, p9(f4(c12), f8(c13)), true)
% 0.19/0.32 = { by axiom 8 (p3_17) R->L }
% 0.19/0.32 ifeq(ifeq(p3(f4(c12), f4(c12)), true, ifeq(p3(f4(c12), c15), true, p3(c15, f4(c12)), true), true), true, p9(f4(c12), f8(c13)), true)
% 0.19/0.32 = { by axiom 1 (p3_4) }
% 0.19/0.32 ifeq(ifeq(true, true, ifeq(p3(f4(c12), c15), true, p3(c15, f4(c12)), true), true), true, p9(f4(c12), f8(c13)), true)
% 0.19/0.32 = { by axiom 6 (ifeq_axiom) }
% 0.19/0.32 ifeq(ifeq(p3(f4(c12), c15), true, p3(c15, f4(c12)), true), true, p9(f4(c12), f8(c13)), true)
% 0.19/0.32 = { by axiom 6 (ifeq_axiom) R->L }
% 0.19/0.32 ifeq(ifeq(ifeq(true, true, p3(f4(c12), c15), true), true, p3(c15, f4(c12)), true), true, p9(f4(c12), f8(c13)), true)
% 0.19/0.32 = { by axiom 8 (p3_17) R->L }
% 0.19/0.32 ifeq(ifeq(ifeq(ifeq(p3(f4(c12), f4(c12)), true, ifeq(p3(f4(c12), f4(f5(c15))), true, p3(f4(f5(c15)), f4(c12)), true), true), true, p3(f4(c12), c15), true), true, p3(c15, f4(c12)), true), true, p9(f4(c12), f8(c13)), true)
% 0.19/0.32 = { by axiom 1 (p3_4) }
% 0.19/0.32 ifeq(ifeq(ifeq(ifeq(true, true, ifeq(p3(f4(c12), f4(f5(c15))), true, p3(f4(f5(c15)), f4(c12)), true), true), true, p3(f4(c12), c15), true), true, p3(c15, f4(c12)), true), true, p9(f4(c12), f8(c13)), true)
% 0.19/0.32 = { by axiom 6 (ifeq_axiom) }
% 0.19/0.32 ifeq(ifeq(ifeq(ifeq(p3(f4(c12), f4(f5(c15))), true, p3(f4(f5(c15)), f4(c12)), true), true, p3(f4(c12), c15), true), true, p3(c15, f4(c12)), true), true, p9(f4(c12), f8(c13)), true)
% 0.19/0.32 = { by axiom 6 (ifeq_axiom) R->L }
% 0.19/0.32 ifeq(ifeq(ifeq(ifeq(ifeq(true, true, p3(f4(c12), f4(f5(c15))), true), true, p3(f4(f5(c15)), f4(c12)), true), true, p3(f4(c12), c15), true), true, p3(c15, f4(c12)), true), true, p9(f4(c12), f8(c13)), true)
% 0.19/0.32 = { by axiom 4 (p2_8) R->L }
% 0.19/0.32 ifeq(ifeq(ifeq(ifeq(ifeq(p2(c12, f5(c15)), true, p3(f4(c12), f4(f5(c15))), true), true, p3(f4(f5(c15)), f4(c12)), true), true, p3(f4(c12), c15), true), true, p3(c15, f4(c12)), true), true, p9(f4(c12), f8(c13)), true)
% 0.19/0.32 = { by axiom 7 (p3_13) }
% 0.19/0.32 ifeq(ifeq(ifeq(ifeq(true, true, p3(f4(f5(c15)), f4(c12)), true), true, p3(f4(c12), c15), true), true, p3(c15, f4(c12)), true), true, p9(f4(c12), f8(c13)), true)
% 0.19/0.32 = { by axiom 6 (ifeq_axiom) }
% 0.19/0.32 ifeq(ifeq(ifeq(p3(f4(f5(c15)), f4(c12)), true, p3(f4(c12), c15), true), true, p3(c15, f4(c12)), true), true, p9(f4(c12), f8(c13)), true)
% 0.19/0.32 = { by axiom 6 (ifeq_axiom) R->L }
% 0.19/0.32 ifeq(ifeq(ifeq(true, true, ifeq(p3(f4(f5(c15)), f4(c12)), true, p3(f4(c12), c15), true), true), true, p3(c15, f4(c12)), true), true, p9(f4(c12), f8(c13)), true)
% 0.19/0.32 = { by axiom 3 (p3_9) R->L }
% 0.19/0.32 ifeq(ifeq(ifeq(p3(f4(f5(c15)), c15), true, ifeq(p3(f4(f5(c15)), f4(c12)), true, p3(f4(c12), c15), true), true), true, p3(c15, f4(c12)), true), true, p9(f4(c12), f8(c13)), true)
% 0.19/0.32 = { by axiom 8 (p3_17) }
% 0.19/0.32 ifeq(ifeq(true, true, p3(c15, f4(c12)), true), true, p9(f4(c12), f8(c13)), true)
% 0.19/0.32 = { by axiom 6 (ifeq_axiom) }
% 0.19/0.32 ifeq(p3(c15, f4(c12)), true, p9(f4(c12), f8(c13)), true)
% 0.19/0.32 = { by axiom 6 (ifeq_axiom) R->L }
% 0.19/0.33 ifeq(true, true, ifeq(p3(c15, f4(c12)), true, p9(f4(c12), f8(c13)), true), true)
% 0.19/0.33 = { by axiom 5 (p9_7) R->L }
% 0.19/0.33 ifeq(p9(c15, f8(c13)), true, ifeq(p3(c15, f4(c12)), true, p9(f4(c12), f8(c13)), true), true)
% 0.19/0.33 = { by axiom 6 (ifeq_axiom) R->L }
% 0.19/0.33 ifeq(p9(c15, f8(c13)), true, ifeq(p3(c15, f4(c12)), true, ifeq(true, true, p9(f4(c12), f8(c13)), true), true), true)
% 0.19/0.33 = { by axiom 2 (p7_2) R->L }
% 0.19/0.33 ifeq(p9(c15, f8(c13)), true, ifeq(p3(c15, f4(c12)), true, ifeq(p7(f8(c13), f8(c13)), true, p9(f4(c12), f8(c13)), true), true), true)
% 0.19/0.33 = { by axiom 9 (p9_19) }
% 0.19/0.33 true
% 0.19/0.33 % SZS output end Proof
% 0.19/0.33
% 0.19/0.33 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------