%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : SYN088-1.010 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox2/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 01:47:04 PM UTC 2026
% Result : Unsatisfiable 0.07s 0.24s
% Output : Proof 0.07s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN088-1.010 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.16 % Computer : n015.cluster.edu
% 0.07/0.16 % Model : x86_64 x86_64
% 0.07/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.16 % Memory : 8046.5625MB
% 0.07/0.16 % OS : Linux 6.8.0-71-generic
% 0.07/0.16 % CPULimit : 300
% 0.07/0.16 % WCLimit : 300
% 0.07/0.16 % DateTime : Mon Sep 28 15:37:01 UTC 2026
% 0.07/0.16 % CPUTime :
% 0.07/0.16 Running run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.24 Command-line arguments: --flatten-regeneralise
% 0.07/0.24
% 0.07/0.24 % SZS status Unsatisfiable
% 0.07/0.24
% 0.07/0.24 % SZS output start Proof
% 0.07/0.24 Axiom 1 (s4_20): q_10(a) = true.
% 0.07/0.24 Axiom 2 (s4_2): q_1(a) = true.
% 0.07/0.24 Axiom 3 (s4_4): q_2(a) = true.
% 0.07/0.24 Axiom 4 (s4_6): q_3(a) = true.
% 0.07/0.24 Axiom 5 (s4_8): q_4(a) = true.
% 0.07/0.24 Axiom 6 (s4_10): q_5(a) = true.
% 0.07/0.24 Axiom 7 (s4_12): q_6(a) = true.
% 0.07/0.24 Axiom 8 (s4_14): q_7(a) = true.
% 0.07/0.24 Axiom 9 (s4_16): q_8(a) = true.
% 0.07/0.24 Axiom 10 (s4_18): q_9(a) = true.
% 0.07/0.24 Axiom 11 (ifeq_axiom): ifeq(X, X, Y, Z) = Y.
% 0.07/0.24 Axiom 12 (s4_1): ifeq(q_10(X), true, ifeq(q_9(Y), true, ifeq(q_8(Z), true, ifeq(q_7(W), true, ifeq(q_6(V), true, ifeq(q_5(U), true, ifeq(q_4(T), true, ifeq(q_3(S), true, ifeq(q_2(X2), true, ifeq(q_1(Y2), true, p(Y2, X2, S, T, U, V, W, Z, Y, X), true), true), true), true), true), true), true), true), true), true) = true.
% 0.07/0.24
% 0.07/0.24 Goal 1 (s4_goal_1): p(a, a, a, a, a, a, a, a, a, a) = true.
% 0.07/0.24 Proof:
% 0.07/0.24 p(a, a, a, a, a, a, a, a, a, a)
% 0.07/0.24 = { by axiom 11 (ifeq_axiom) R->L }
% 0.07/0.24 ifeq(true, true, p(a, a, a, a, a, a, a, a, a, a), true)
% 0.07/0.24 = { by axiom 2 (s4_2) R->L }
% 0.07/0.24 ifeq(q_1(a), true, p(a, a, a, a, a, a, a, a, a, a), true)
% 0.07/0.24 = { by axiom 11 (ifeq_axiom) R->L }
% 0.07/0.24 ifeq(true, true, ifeq(q_1(a), true, p(a, a, a, a, a, a, a, a, a, a), true), true)
% 0.07/0.24 = { by axiom 3 (s4_4) R->L }
% 0.07/0.24 ifeq(q_2(a), true, ifeq(q_1(a), true, p(a, a, a, a, a, a, a, a, a, a), true), true)
% 0.07/0.24 = { by axiom 11 (ifeq_axiom) R->L }
% 0.07/0.24 ifeq(true, true, ifeq(q_2(a), true, ifeq(q_1(a), true, p(a, a, a, a, a, a, a, a, a, a), true), true), true)
% 0.07/0.24 = { by axiom 4 (s4_6) R->L }
% 0.07/0.24 ifeq(q_3(a), true, ifeq(q_2(a), true, ifeq(q_1(a), true, p(a, a, a, a, a, a, a, a, a, a), true), true), true)
% 0.07/0.24 = { by axiom 11 (ifeq_axiom) R->L }
% 0.07/0.24 ifeq(true, true, ifeq(q_3(a), true, ifeq(q_2(a), true, ifeq(q_1(a), true, p(a, a, a, a, a, a, a, a, a, a), true), true), true), true)
% 0.07/0.24 = { by axiom 5 (s4_8) R->L }
% 0.07/0.24 ifeq(q_4(a), true, ifeq(q_3(a), true, ifeq(q_2(a), true, ifeq(q_1(a), true, p(a, a, a, a, a, a, a, a, a, a), true), true), true), true)
% 0.07/0.24 = { by axiom 11 (ifeq_axiom) R->L }
% 0.07/0.24 ifeq(true, true, ifeq(q_4(a), true, ifeq(q_3(a), true, ifeq(q_2(a), true, ifeq(q_1(a), true, p(a, a, a, a, a, a, a, a, a, a), true), true), true), true), true)
% 0.07/0.24 = { by axiom 6 (s4_10) R->L }
% 0.07/0.24 ifeq(q_5(a), true, ifeq(q_4(a), true, ifeq(q_3(a), true, ifeq(q_2(a), true, ifeq(q_1(a), true, p(a, a, a, a, a, a, a, a, a, a), true), true), true), true), true)
% 0.07/0.24 = { by axiom 11 (ifeq_axiom) R->L }
% 0.07/0.24 ifeq(true, true, ifeq(q_5(a), true, ifeq(q_4(a), true, ifeq(q_3(a), true, ifeq(q_2(a), true, ifeq(q_1(a), true, p(a, a, a, a, a, a, a, a, a, a), true), true), true), true), true), true)
% 0.07/0.24 = { by axiom 7 (s4_12) R->L }
% 0.07/0.24 ifeq(q_6(a), true, ifeq(q_5(a), true, ifeq(q_4(a), true, ifeq(q_3(a), true, ifeq(q_2(a), true, ifeq(q_1(a), true, p(a, a, a, a, a, a, a, a, a, a), true), true), true), true), true), true)
% 0.07/0.24 = { by axiom 11 (ifeq_axiom) R->L }
% 0.07/0.24 ifeq(true, true, ifeq(q_6(a), true, ifeq(q_5(a), true, ifeq(q_4(a), true, ifeq(q_3(a), true, ifeq(q_2(a), true, ifeq(q_1(a), true, p(a, a, a, a, a, a, a, a, a, a), true), true), true), true), true), true), true)
% 0.07/0.24 = { by axiom 8 (s4_14) R->L }
% 0.07/0.24 ifeq(q_7(a), true, ifeq(q_6(a), true, ifeq(q_5(a), true, ifeq(q_4(a), true, ifeq(q_3(a), true, ifeq(q_2(a), true, ifeq(q_1(a), true, p(a, a, a, a, a, a, a, a, a, a), true), true), true), true), true), true), true)
% 0.07/0.24 = { by axiom 11 (ifeq_axiom) R->L }
% 0.07/0.24 ifeq(true, true, ifeq(q_7(a), true, ifeq(q_6(a), true, ifeq(q_5(a), true, ifeq(q_4(a), true, ifeq(q_3(a), true, ifeq(q_2(a), true, ifeq(q_1(a), true, p(a, a, a, a, a, a, a, a, a, a), true), true), true), true), true), true), true), true)
% 0.07/0.24 = { by axiom 9 (s4_16) R->L }
% 0.07/0.24 ifeq(q_8(a), true, ifeq(q_7(a), true, ifeq(q_6(a), true, ifeq(q_5(a), true, ifeq(q_4(a), true, ifeq(q_3(a), true, ifeq(q_2(a), true, ifeq(q_1(a), true, p(a, a, a, a, a, a, a, a, a, a), true), true), true), true), true), true), true), true)
% 0.07/0.24 = { by axiom 11 (ifeq_axiom) R->L }
% 0.07/0.24 ifeq(true, true, ifeq(q_8(a), true, ifeq(q_7(a), true, ifeq(q_6(a), true, ifeq(q_5(a), true, ifeq(q_4(a), true, ifeq(q_3(a), true, ifeq(q_2(a), true, ifeq(q_1(a), true, p(a, a, a, a, a, a, a, a, a, a), true), true), true), true), true), true), true), true), true)
% 0.07/0.24 = { by axiom 10 (s4_18) R->L }
% 0.07/0.24 ifeq(q_9(a), true, ifeq(q_8(a), true, ifeq(q_7(a), true, ifeq(q_6(a), true, ifeq(q_5(a), true, ifeq(q_4(a), true, ifeq(q_3(a), true, ifeq(q_2(a), true, ifeq(q_1(a), true, p(a, a, a, a, a, a, a, a, a, a), true), true), true), true), true), true), true), true), true)
% 0.07/0.24 = { by axiom 11 (ifeq_axiom) R->L }
% 0.07/0.24 ifeq(true, true, ifeq(q_9(a), true, ifeq(q_8(a), true, ifeq(q_7(a), true, ifeq(q_6(a), true, ifeq(q_5(a), true, ifeq(q_4(a), true, ifeq(q_3(a), true, ifeq(q_2(a), true, ifeq(q_1(a), true, p(a, a, a, a, a, a, a, a, a, a), true), true), true), true), true), true), true), true), true), true)
% 0.07/0.24 = { by axiom 1 (s4_20) R->L }
% 0.07/0.24 ifeq(q_10(a), true, ifeq(q_9(a), true, ifeq(q_8(a), true, ifeq(q_7(a), true, ifeq(q_6(a), true, ifeq(q_5(a), true, ifeq(q_4(a), true, ifeq(q_3(a), true, ifeq(q_2(a), true, ifeq(q_1(a), true, p(a, a, a, a, a, a, a, a, a, a), true), true), true), true), true), true), true), true), true), true)
% 0.07/0.24 = { by axiom 12 (s4_1) }
% 0.07/0.24 true
% 0.07/0.24 % SZS output end Proof
% 0.07/0.24
% 0.07/0.24 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------