%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : SYN652-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n005.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 01:48:14 PM UTC 2026
% Result : Unsatisfiable 0.23s 0.35s
% Output : Proof 0.23s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN652-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.19 % Computer : n005.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 16:39:31 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.23/0.35 Command-line arguments: --no-flatten-goal
% 0.23/0.35
% 0.23/0.35 % SZS status Unsatisfiable
% 0.23/0.35
% 0.23/0.35 % SZS output start Proof
% 0.23/0.35 Axiom 1 (p14_14): p14(X, X) = true.
% 0.23/0.35 Axiom 2 (p4_5): p4(X, X) = true.
% 0.23/0.35 Axiom 3 (p4_16): p4(c34, f5(c35, c32)) = true.
% 0.23/0.35 Axiom 4 (ifeq_axiom): ifeq(X, X, Y, Z) = Y.
% 0.23/0.35 Axiom 5 (p27_17): p27(f8(f10(c28, f13(c29, c30)), c32), c33) = true.
% 0.23/0.35 Axiom 6 (p4_34): p4(f15(f17(c36, X), f5(c35, Y)), f5(X, Y)) = true.
% 0.23/0.35 Axiom 7 (p4_23): ifeq(p4(X, Y), true, ifeq(p4(X, Z), true, p4(Z, Y), true), true) = true.
% 0.23/0.35 Axiom 8 (p4_41): ifeq(p14(X, Y), true, ifeq(p4(Z, W), true, p4(f15(X, Z), f15(Y, W)), true), true) = true.
% 0.23/0.35 Axiom 9 (p4_46): ifeq(p27(f8(f10(c28, f13(c29, c30)), X), Y), true, p4(f5(c31, X), f5(c31, Y)), true) = true.
% 0.23/0.35
% 0.23/0.35 Goal 1 (not_p4_18): p4(f5(c31, c33), f15(f17(c36, c31), c34)) = true.
% 0.23/0.35 Proof:
% 0.23/0.35 p4(f5(c31, c33), f15(f17(c36, c31), c34))
% 0.23/0.35 = { by axiom 4 (ifeq_axiom) R->L }
% 0.23/0.35 ifeq(true, true, p4(f5(c31, c33), f15(f17(c36, c31), c34)), true)
% 0.23/0.35 = { by axiom 7 (p4_23) R->L }
% 0.23/0.35 ifeq(ifeq(p4(f5(c31, c32), f5(c31, c33)), true, ifeq(p4(f5(c31, c32), f15(f17(c36, c31), f5(c35, c32))), true, p4(f15(f17(c36, c31), f5(c35, c32)), f5(c31, c33)), true), true), true, p4(f5(c31, c33), f15(f17(c36, c31), c34)), true)
% 0.23/0.35 = { by axiom 4 (ifeq_axiom) R->L }
% 0.23/0.35 ifeq(ifeq(ifeq(true, true, p4(f5(c31, c32), f5(c31, c33)), true), true, ifeq(p4(f5(c31, c32), f15(f17(c36, c31), f5(c35, c32))), true, p4(f15(f17(c36, c31), f5(c35, c32)), f5(c31, c33)), true), true), true, p4(f5(c31, c33), f15(f17(c36, c31), c34)), true)
% 0.23/0.35 = { by axiom 5 (p27_17) R->L }
% 0.23/0.35 ifeq(ifeq(ifeq(p27(f8(f10(c28, f13(c29, c30)), c32), c33), true, p4(f5(c31, c32), f5(c31, c33)), true), true, ifeq(p4(f5(c31, c32), f15(f17(c36, c31), f5(c35, c32))), true, p4(f15(f17(c36, c31), f5(c35, c32)), f5(c31, c33)), true), true), true, p4(f5(c31, c33), f15(f17(c36, c31), c34)), true)
% 0.23/0.35 = { by axiom 9 (p4_46) }
% 0.23/0.35 ifeq(ifeq(true, true, ifeq(p4(f5(c31, c32), f15(f17(c36, c31), f5(c35, c32))), true, p4(f15(f17(c36, c31), f5(c35, c32)), f5(c31, c33)), true), true), true, p4(f5(c31, c33), f15(f17(c36, c31), c34)), true)
% 0.23/0.35 = { by axiom 4 (ifeq_axiom) }
% 0.23/0.35 ifeq(ifeq(p4(f5(c31, c32), f15(f17(c36, c31), f5(c35, c32))), true, p4(f15(f17(c36, c31), f5(c35, c32)), f5(c31, c33)), true), true, p4(f5(c31, c33), f15(f17(c36, c31), c34)), true)
% 0.23/0.35 = { by axiom 4 (ifeq_axiom) R->L }
% 0.23/0.35 ifeq(ifeq(ifeq(true, true, p4(f5(c31, c32), f15(f17(c36, c31), f5(c35, c32))), true), true, p4(f15(f17(c36, c31), f5(c35, c32)), f5(c31, c33)), true), true, p4(f5(c31, c33), f15(f17(c36, c31), c34)), true)
% 0.23/0.35 = { by axiom 6 (p4_34) R->L }
% 0.23/0.35 ifeq(ifeq(ifeq(p4(f15(f17(c36, c31), f5(c35, c32)), f5(c31, c32)), true, p4(f5(c31, c32), f15(f17(c36, c31), f5(c35, c32))), true), true, p4(f15(f17(c36, c31), f5(c35, c32)), f5(c31, c33)), true), true, p4(f5(c31, c33), f15(f17(c36, c31), c34)), true)
% 0.23/0.35 = { by axiom 4 (ifeq_axiom) R->L }
% 0.23/0.35 ifeq(ifeq(ifeq(true, true, ifeq(p4(f15(f17(c36, c31), f5(c35, c32)), f5(c31, c32)), true, p4(f5(c31, c32), f15(f17(c36, c31), f5(c35, c32))), true), true), true, p4(f15(f17(c36, c31), f5(c35, c32)), f5(c31, c33)), true), true, p4(f5(c31, c33), f15(f17(c36, c31), c34)), true)
% 0.23/0.35 = { by axiom 2 (p4_5) R->L }
% 0.23/0.35 ifeq(ifeq(ifeq(p4(f15(f17(c36, c31), f5(c35, c32)), f15(f17(c36, c31), f5(c35, c32))), true, ifeq(p4(f15(f17(c36, c31), f5(c35, c32)), f5(c31, c32)), true, p4(f5(c31, c32), f15(f17(c36, c31), f5(c35, c32))), true), true), true, p4(f15(f17(c36, c31), f5(c35, c32)), f5(c31, c33)), true), true, p4(f5(c31, c33), f15(f17(c36, c31), c34)), true)
% 0.23/0.35 = { by axiom 7 (p4_23) }
% 0.23/0.35 ifeq(ifeq(true, true, p4(f15(f17(c36, c31), f5(c35, c32)), f5(c31, c33)), true), true, p4(f5(c31, c33), f15(f17(c36, c31), c34)), true)
% 0.23/0.35 = { by axiom 4 (ifeq_axiom) }
% 0.23/0.35 ifeq(p4(f15(f17(c36, c31), f5(c35, c32)), f5(c31, c33)), true, p4(f5(c31, c33), f15(f17(c36, c31), c34)), true)
% 0.23/0.35 = { by axiom 4 (ifeq_axiom) R->L }
% 0.23/0.35 ifeq(true, true, ifeq(p4(f15(f17(c36, c31), f5(c35, c32)), f5(c31, c33)), true, p4(f5(c31, c33), f15(f17(c36, c31), c34)), true), true)
% 0.23/0.35 = { by axiom 8 (p4_41) R->L }
% 0.23/0.35 ifeq(ifeq(p14(f17(c36, c31), f17(c36, c31)), true, ifeq(p4(f5(c35, c32), c34), true, p4(f15(f17(c36, c31), f5(c35, c32)), f15(f17(c36, c31), c34)), true), true), true, ifeq(p4(f15(f17(c36, c31), f5(c35, c32)), f5(c31, c33)), true, p4(f5(c31, c33), f15(f17(c36, c31), c34)), true), true)
% 0.23/0.35 = { by axiom 1 (p14_14) }
% 0.23/0.35 ifeq(ifeq(true, true, ifeq(p4(f5(c35, c32), c34), true, p4(f15(f17(c36, c31), f5(c35, c32)), f15(f17(c36, c31), c34)), true), true), true, ifeq(p4(f15(f17(c36, c31), f5(c35, c32)), f5(c31, c33)), true, p4(f5(c31, c33), f15(f17(c36, c31), c34)), true), true)
% 0.23/0.35 = { by axiom 4 (ifeq_axiom) }
% 0.23/0.35 ifeq(ifeq(p4(f5(c35, c32), c34), true, p4(f15(f17(c36, c31), f5(c35, c32)), f15(f17(c36, c31), c34)), true), true, ifeq(p4(f15(f17(c36, c31), f5(c35, c32)), f5(c31, c33)), true, p4(f5(c31, c33), f15(f17(c36, c31), c34)), true), true)
% 0.23/0.35 = { by axiom 4 (ifeq_axiom) R->L }
% 0.23/0.35 ifeq(ifeq(ifeq(true, true, p4(f5(c35, c32), c34), true), true, p4(f15(f17(c36, c31), f5(c35, c32)), f15(f17(c36, c31), c34)), true), true, ifeq(p4(f15(f17(c36, c31), f5(c35, c32)), f5(c31, c33)), true, p4(f5(c31, c33), f15(f17(c36, c31), c34)), true), true)
% 0.23/0.35 = { by axiom 3 (p4_16) R->L }
% 0.23/0.35 ifeq(ifeq(ifeq(p4(c34, f5(c35, c32)), true, p4(f5(c35, c32), c34), true), true, p4(f15(f17(c36, c31), f5(c35, c32)), f15(f17(c36, c31), c34)), true), true, ifeq(p4(f15(f17(c36, c31), f5(c35, c32)), f5(c31, c33)), true, p4(f5(c31, c33), f15(f17(c36, c31), c34)), true), true)
% 0.23/0.35 = { by axiom 4 (ifeq_axiom) R->L }
% 0.23/0.35 ifeq(ifeq(ifeq(true, true, ifeq(p4(c34, f5(c35, c32)), true, p4(f5(c35, c32), c34), true), true), true, p4(f15(f17(c36, c31), f5(c35, c32)), f15(f17(c36, c31), c34)), true), true, ifeq(p4(f15(f17(c36, c31), f5(c35, c32)), f5(c31, c33)), true, p4(f5(c31, c33), f15(f17(c36, c31), c34)), true), true)
% 0.23/0.35 = { by axiom 2 (p4_5) R->L }
% 0.23/0.35 ifeq(ifeq(ifeq(p4(c34, c34), true, ifeq(p4(c34, f5(c35, c32)), true, p4(f5(c35, c32), c34), true), true), true, p4(f15(f17(c36, c31), f5(c35, c32)), f15(f17(c36, c31), c34)), true), true, ifeq(p4(f15(f17(c36, c31), f5(c35, c32)), f5(c31, c33)), true, p4(f5(c31, c33), f15(f17(c36, c31), c34)), true), true)
% 0.23/0.35 = { by axiom 7 (p4_23) }
% 0.23/0.35 ifeq(ifeq(true, true, p4(f15(f17(c36, c31), f5(c35, c32)), f15(f17(c36, c31), c34)), true), true, ifeq(p4(f15(f17(c36, c31), f5(c35, c32)), f5(c31, c33)), true, p4(f5(c31, c33), f15(f17(c36, c31), c34)), true), true)
% 0.23/0.35 = { by axiom 4 (ifeq_axiom) }
% 0.23/0.35 ifeq(p4(f15(f17(c36, c31), f5(c35, c32)), f15(f17(c36, c31), c34)), true, ifeq(p4(f15(f17(c36, c31), f5(c35, c32)), f5(c31, c33)), true, p4(f5(c31, c33), f15(f17(c36, c31), c34)), true), true)
% 0.23/0.35 = { by axiom 7 (p4_23) }
% 0.23/0.35 true
% 0.23/0.35 % SZS output end Proof
% 0.23/0.35
% 0.23/0.35 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------