%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : SYN688-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n015.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 01:48:16 PM UTC 2026
% Result : Unsatisfiable 1.54s 0.47s
% Output : Proof 1.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN688-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.03 % Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.06/0.20 % Computer : n015.cluster.edu
% 0.06/0.20 % Model : x86_64 x86_64
% 0.06/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.20 % Memory : 8046.5625MB
% 0.06/0.20 % OS : Linux 6.8.0-71-generic
% 0.06/0.20 % CPULimit : 300
% 0.06/0.20 % WCLimit : 300
% 0.06/0.20 % DateTime : Mon Sep 28 16:49:31 UTC 2026
% 0.06/0.20 % CPUTime :
% 0.06/0.20 Running run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.54/0.47 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
% 1.54/0.47
% 1.54/0.47 % SZS status Unsatisfiable
% 1.54/0.47
% 1.54/0.48 % SZS output start Proof
% 1.54/0.48 Axiom 1 (c43_is_p27_2): p27(c43) = true.
% 1.54/0.48 Axiom 2 (c34_is_p27_1): p27(c34) = true.
% 1.54/0.48 Axiom 3 (p18_10): p18(X, X) = true.
% 1.54/0.48 Axiom 4 (ifeq_axiom): ifeq(X, X, Y, Z) = Y.
% 1.54/0.48 Axiom 5 (p28_18): p28(f20(f19(c43)), f19(c34)) = true.
% 1.54/0.48 Axiom 6 (p27_17): ifeq(p27(X), true, p27(f17(X)), true) = true.
% 1.54/0.48 Axiom 7 (p18_31): ifeq(p27(X), true, p18(f19(f17(X)), f20(f19(X))), true) = true.
% 1.54/0.48 Axiom 8 (p18_37): ifeq(p18(X, Y), true, ifeq(p18(X, Z), true, p18(Z, Y), true), true) = true.
% 1.54/0.48 Axiom 9 (p28_44): ifeq(p28(X, Y), true, ifeq(p18(X, Z), true, ifeq(p18(Y, W), true, p28(Z, W), true), true), true) = true.
% 1.54/0.48 Axiom 10 (p25_40): ifeq(p28(f19(X), f19(Y)), true, ifeq(p27(Y), true, ifeq(p27(X), true, p25(X, Y), true), true), true) = true.
% 1.54/0.48
% 1.54/0.48 Goal 1 (not_p25_16): p25(f17(c43), c34) = true.
% 1.54/0.48 Proof:
% 1.54/0.48 p25(f17(c43), c34)
% 1.54/0.48 = { by axiom 4 (ifeq_axiom) R->L }
% 1.54/0.48 ifeq(true, true, p25(f17(c43), c34), true)
% 1.54/0.48 = { by axiom 6 (p27_17) R->L }
% 1.54/0.48 ifeq(ifeq(p27(c43), true, p27(f17(c43)), true), true, p25(f17(c43), c34), true)
% 1.54/0.48 = { by axiom 1 (c43_is_p27_2) }
% 1.54/0.48 ifeq(ifeq(true, true, p27(f17(c43)), true), true, p25(f17(c43), c34), true)
% 1.54/0.48 = { by axiom 4 (ifeq_axiom) }
% 1.54/0.48 ifeq(p27(f17(c43)), true, p25(f17(c43), c34), true)
% 1.54/0.48 = { by axiom 4 (ifeq_axiom) R->L }
% 1.54/0.48 ifeq(true, true, ifeq(p27(f17(c43)), true, p25(f17(c43), c34), true), true)
% 1.54/0.48 = { by axiom 2 (c34_is_p27_1) R->L }
% 1.54/0.48 ifeq(p27(c34), true, ifeq(p27(f17(c43)), true, p25(f17(c43), c34), true), true)
% 1.54/0.48 = { by axiom 4 (ifeq_axiom) R->L }
% 1.54/0.48 ifeq(true, true, ifeq(p27(c34), true, ifeq(p27(f17(c43)), true, p25(f17(c43), c34), true), true), true)
% 1.54/0.48 = { by axiom 9 (p28_44) R->L }
% 1.54/0.48 ifeq(ifeq(p28(f20(f19(c43)), f19(c34)), true, ifeq(p18(f20(f19(c43)), f19(f17(c43))), true, ifeq(p18(f19(c34), f19(c34)), true, p28(f19(f17(c43)), f19(c34)), true), true), true), true, ifeq(p27(c34), true, ifeq(p27(f17(c43)), true, p25(f17(c43), c34), true), true), true)
% 1.54/0.48 = { by axiom 3 (p18_10) }
% 1.54/0.48 ifeq(ifeq(p28(f20(f19(c43)), f19(c34)), true, ifeq(p18(f20(f19(c43)), f19(f17(c43))), true, ifeq(true, true, p28(f19(f17(c43)), f19(c34)), true), true), true), true, ifeq(p27(c34), true, ifeq(p27(f17(c43)), true, p25(f17(c43), c34), true), true), true)
% 1.54/0.48 = { by axiom 4 (ifeq_axiom) }
% 1.54/0.48 ifeq(ifeq(p28(f20(f19(c43)), f19(c34)), true, ifeq(p18(f20(f19(c43)), f19(f17(c43))), true, p28(f19(f17(c43)), f19(c34)), true), true), true, ifeq(p27(c34), true, ifeq(p27(f17(c43)), true, p25(f17(c43), c34), true), true), true)
% 1.54/0.48 = { by axiom 5 (p28_18) }
% 1.54/0.48 ifeq(ifeq(true, true, ifeq(p18(f20(f19(c43)), f19(f17(c43))), true, p28(f19(f17(c43)), f19(c34)), true), true), true, ifeq(p27(c34), true, ifeq(p27(f17(c43)), true, p25(f17(c43), c34), true), true), true)
% 1.54/0.48 = { by axiom 4 (ifeq_axiom) }
% 1.54/0.48 ifeq(ifeq(p18(f20(f19(c43)), f19(f17(c43))), true, p28(f19(f17(c43)), f19(c34)), true), true, ifeq(p27(c34), true, ifeq(p27(f17(c43)), true, p25(f17(c43), c34), true), true), true)
% 1.54/0.48 = { by axiom 4 (ifeq_axiom) R->L }
% 1.54/0.48 ifeq(ifeq(ifeq(true, true, p18(f20(f19(c43)), f19(f17(c43))), true), true, p28(f19(f17(c43)), f19(c34)), true), true, ifeq(p27(c34), true, ifeq(p27(f17(c43)), true, p25(f17(c43), c34), true), true), true)
% 1.54/0.48 = { by axiom 7 (p18_31) R->L }
% 1.54/0.48 ifeq(ifeq(ifeq(ifeq(p27(c43), true, p18(f19(f17(c43)), f20(f19(c43))), true), true, p18(f20(f19(c43)), f19(f17(c43))), true), true, p28(f19(f17(c43)), f19(c34)), true), true, ifeq(p27(c34), true, ifeq(p27(f17(c43)), true, p25(f17(c43), c34), true), true), true)
% 1.54/0.48 = { by axiom 1 (c43_is_p27_2) }
% 1.54/0.48 ifeq(ifeq(ifeq(ifeq(true, true, p18(f19(f17(c43)), f20(f19(c43))), true), true, p18(f20(f19(c43)), f19(f17(c43))), true), true, p28(f19(f17(c43)), f19(c34)), true), true, ifeq(p27(c34), true, ifeq(p27(f17(c43)), true, p25(f17(c43), c34), true), true), true)
% 1.54/0.48 = { by axiom 4 (ifeq_axiom) }
% 1.54/0.48 ifeq(ifeq(ifeq(p18(f19(f17(c43)), f20(f19(c43))), true, p18(f20(f19(c43)), f19(f17(c43))), true), true, p28(f19(f17(c43)), f19(c34)), true), true, ifeq(p27(c34), true, ifeq(p27(f17(c43)), true, p25(f17(c43), c34), true), true), true)
% 1.54/0.48 = { by axiom 4 (ifeq_axiom) R->L }
% 1.54/0.48 ifeq(ifeq(ifeq(true, true, ifeq(p18(f19(f17(c43)), f20(f19(c43))), true, p18(f20(f19(c43)), f19(f17(c43))), true), true), true, p28(f19(f17(c43)), f19(c34)), true), true, ifeq(p27(c34), true, ifeq(p27(f17(c43)), true, p25(f17(c43), c34), true), true), true)
% 1.54/0.48 = { by axiom 3 (p18_10) R->L }
% 1.54/0.48 ifeq(ifeq(ifeq(p18(f19(f17(c43)), f19(f17(c43))), true, ifeq(p18(f19(f17(c43)), f20(f19(c43))), true, p18(f20(f19(c43)), f19(f17(c43))), true), true), true, p28(f19(f17(c43)), f19(c34)), true), true, ifeq(p27(c34), true, ifeq(p27(f17(c43)), true, p25(f17(c43), c34), true), true), true)
% 1.54/0.48 = { by axiom 8 (p18_37) }
% 1.54/0.48 ifeq(ifeq(true, true, p28(f19(f17(c43)), f19(c34)), true), true, ifeq(p27(c34), true, ifeq(p27(f17(c43)), true, p25(f17(c43), c34), true), true), true)
% 1.54/0.48 = { by axiom 4 (ifeq_axiom) }
% 1.54/0.48 ifeq(p28(f19(f17(c43)), f19(c34)), true, ifeq(p27(c34), true, ifeq(p27(f17(c43)), true, p25(f17(c43), c34), true), true), true)
% 1.54/0.48 = { by axiom 10 (p25_40) }
% 1.54/0.48 true
% 1.54/0.48 % SZS output end Proof
% 1.54/0.48
% 1.54/0.48 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------