%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : SYN555-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n020.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 01:48:05 PM UTC 2026
% Result : Unsatisfiable 0.21s 0.29s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN555-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.06/0.19 % Computer : n020.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 16:29:19 UTC 2026
% 0.06/0.19 % CPUTime :
% 0.06/0.19 Running run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.29 Command-line arguments: --lhs-weight 1 --flip-ordering --normalise-queue-percent 10 --cp-renormalise-threshold 10 --complete-subsets --ground-joining-incomplete-limit 15 --flatten-regeneralise
% 0.21/0.29
% 0.21/0.29 % SZS status Unsatisfiable
% 0.21/0.29
% 0.21/0.29 % SZS output start Proof
% 0.21/0.29 Axiom 1 (p4_2): p4(X, X) = true.
% 0.21/0.29 Axiom 2 (ifeq_axiom): ifeq(X, X, Y, Z) = Y.
% 0.21/0.29 Axiom 3 (p4_4): p4(f5(c7, c10, c9), c9) = true.
% 0.21/0.29 Axiom 4 (p4_6): p4(f5(c7, X, c8), f5(c7, X, c9)) = true.
% 0.21/0.29 Axiom 5 (p4_8): ifeq(p4(X, Y), true, ifeq(p4(X, Z), true, p4(Z, Y), true), true) = true.
% 0.21/0.29 Axiom 6 (p4_12): ifeq(p4(f5(c7, f6(X, Y, Z), Y), f5(c7, f6(X, Y, Z), Z)), true, ifeq(p4(f5(c7, X, Y), Y), true, p4(f5(c7, X, Z), Z), true), true) = true.
% 0.21/0.29
% 0.21/0.29 Goal 1 (not_p4_5): p4(f5(c7, c10, c8), c8) = true.
% 0.21/0.29 Proof:
% 0.21/0.29 p4(f5(c7, c10, c8), c8)
% 0.21/0.29 = { by axiom 2 (ifeq_axiom) R->L }
% 0.21/0.29 ifeq(true, true, p4(f5(c7, c10, c8), c8), true)
% 0.21/0.29 = { by axiom 3 (p4_4) R->L }
% 0.21/0.29 ifeq(p4(f5(c7, c10, c9), c9), true, p4(f5(c7, c10, c8), c8), true)
% 0.21/0.29 = { by axiom 2 (ifeq_axiom) R->L }
% 0.21/0.29 ifeq(true, true, ifeq(p4(f5(c7, c10, c9), c9), true, p4(f5(c7, c10, c8), c8), true), true)
% 0.21/0.29 = { by axiom 5 (p4_8) R->L }
% 0.21/0.29 ifeq(ifeq(p4(f5(c7, f6(c10, c9, c8), c8), f5(c7, f6(c10, c9, c8), c8)), true, ifeq(p4(f5(c7, f6(c10, c9, c8), c8), f5(c7, f6(c10, c9, c8), c9)), true, p4(f5(c7, f6(c10, c9, c8), c9), f5(c7, f6(c10, c9, c8), c8)), true), true), true, ifeq(p4(f5(c7, c10, c9), c9), true, p4(f5(c7, c10, c8), c8), true), true)
% 0.21/0.29 = { by axiom 1 (p4_2) }
% 0.21/0.29 ifeq(ifeq(true, true, ifeq(p4(f5(c7, f6(c10, c9, c8), c8), f5(c7, f6(c10, c9, c8), c9)), true, p4(f5(c7, f6(c10, c9, c8), c9), f5(c7, f6(c10, c9, c8), c8)), true), true), true, ifeq(p4(f5(c7, c10, c9), c9), true, p4(f5(c7, c10, c8), c8), true), true)
% 0.21/0.29 = { by axiom 2 (ifeq_axiom) }
% 0.21/0.29 ifeq(ifeq(p4(f5(c7, f6(c10, c9, c8), c8), f5(c7, f6(c10, c9, c8), c9)), true, p4(f5(c7, f6(c10, c9, c8), c9), f5(c7, f6(c10, c9, c8), c8)), true), true, ifeq(p4(f5(c7, c10, c9), c9), true, p4(f5(c7, c10, c8), c8), true), true)
% 0.21/0.29 = { by axiom 4 (p4_6) }
% 0.21/0.29 ifeq(ifeq(true, true, p4(f5(c7, f6(c10, c9, c8), c9), f5(c7, f6(c10, c9, c8), c8)), true), true, ifeq(p4(f5(c7, c10, c9), c9), true, p4(f5(c7, c10, c8), c8), true), true)
% 0.21/0.29 = { by axiom 2 (ifeq_axiom) }
% 0.21/0.29 ifeq(p4(f5(c7, f6(c10, c9, c8), c9), f5(c7, f6(c10, c9, c8), c8)), true, ifeq(p4(f5(c7, c10, c9), c9), true, p4(f5(c7, c10, c8), c8), true), true)
% 0.21/0.29 = { by axiom 6 (p4_12) }
% 0.21/0.29 true
% 0.21/0.29 % SZS output end Proof
% 0.21/0.29
% 0.21/0.29 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------