%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : SYN085-1.010 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n017.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 01:47:03 PM UTC 2026
% Result : Unsatisfiable 0.08s 0.24s
% Output : Proof 0.08s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN085-1.010 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.16 % Computer : n017.cluster.edu
% 0.08/0.16 % Model : x86_64 x86_64
% 0.08/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.16 % Memory : 8046.5625MB
% 0.08/0.16 % OS : Linux 6.8.0-71-generic
% 0.08/0.16 % CPULimit : 300
% 0.08/0.16 % WCLimit : 300
% 0.08/0.16 % DateTime : Mon Sep 28 15:28:21 UTC 2026
% 0.08/0.16 % CPUTime :
% 0.08/0.16 Running run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.24 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
% 0.08/0.24
% 0.08/0.24 % SZS status Unsatisfiable
% 0.08/0.24
% 0.08/0.24 % SZS output start Proof
% 0.08/0.24 Axiom 1 (s1_2): p_1 = true.
% 0.08/0.24 Axiom 2 (s1_3): p_2 = true.
% 0.08/0.24 Axiom 3 (s1_4): p_3 = true.
% 0.08/0.24 Axiom 4 (s1_5): p_4 = true.
% 0.08/0.24 Axiom 5 (s1_6): p_5 = true.
% 0.08/0.24 Axiom 6 (s1_7): p_6 = true.
% 0.08/0.24 Axiom 7 (s1_8): p_7 = true.
% 0.08/0.24 Axiom 8 (s1_9): p_8 = true.
% 0.08/0.24 Axiom 9 (s1_10): p_9 = true.
% 0.08/0.24 Axiom 10 (s1_11): p_10 = true.
% 0.08/0.24 Axiom 11 (ifeq_axiom): ifeq(X, X, Y, Z) = Y.
% 0.08/0.24 Axiom 12 (s1_1): ifeq(p_10, true, ifeq(p_9, true, ifeq(p_8, true, ifeq(p_7, true, ifeq(p_6, true, ifeq(p_5, true, ifeq(p_4, true, ifeq(p_3, true, ifeq(p_2, true, ifeq(p_1, true, p_0, true), true), true), true), true), true), true), true), true), true) = true.
% 0.08/0.24
% 0.08/0.24 Goal 1 (s1_goal_1): p_0 = true.
% 0.08/0.24 Proof:
% 0.08/0.24 p_0
% 0.08/0.24 = { by axiom 11 (ifeq_axiom) R->L }
% 0.08/0.24 ifeq(true, true, p_0, true)
% 0.08/0.24 = { by axiom 1 (s1_2) R->L }
% 0.08/0.24 ifeq(p_1, true, p_0, true)
% 0.08/0.24 = { by axiom 11 (ifeq_axiom) R->L }
% 0.08/0.24 ifeq(true, true, ifeq(p_1, true, p_0, true), true)
% 0.08/0.24 = { by axiom 2 (s1_3) R->L }
% 0.08/0.24 ifeq(p_2, true, ifeq(p_1, true, p_0, true), true)
% 0.08/0.24 = { by axiom 11 (ifeq_axiom) R->L }
% 0.08/0.24 ifeq(true, true, ifeq(p_2, true, ifeq(p_1, true, p_0, true), true), true)
% 0.08/0.24 = { by axiom 3 (s1_4) R->L }
% 0.08/0.24 ifeq(p_3, true, ifeq(p_2, true, ifeq(p_1, true, p_0, true), true), true)
% 0.08/0.24 = { by axiom 11 (ifeq_axiom) R->L }
% 0.08/0.24 ifeq(true, true, ifeq(p_3, true, ifeq(p_2, true, ifeq(p_1, true, p_0, true), true), true), true)
% 0.08/0.24 = { by axiom 4 (s1_5) R->L }
% 0.08/0.24 ifeq(p_4, true, ifeq(p_3, true, ifeq(p_2, true, ifeq(p_1, true, p_0, true), true), true), true)
% 0.08/0.24 = { by axiom 11 (ifeq_axiom) R->L }
% 0.08/0.24 ifeq(true, true, ifeq(p_4, true, ifeq(p_3, true, ifeq(p_2, true, ifeq(p_1, true, p_0, true), true), true), true), true)
% 0.08/0.25 = { by axiom 5 (s1_6) R->L }
% 0.08/0.25 ifeq(p_5, true, ifeq(p_4, true, ifeq(p_3, true, ifeq(p_2, true, ifeq(p_1, true, p_0, true), true), true), true), true)
% 0.08/0.25 = { by axiom 11 (ifeq_axiom) R->L }
% 0.08/0.25 ifeq(true, true, ifeq(p_5, true, ifeq(p_4, true, ifeq(p_3, true, ifeq(p_2, true, ifeq(p_1, true, p_0, true), true), true), true), true), true)
% 0.08/0.25 = { by axiom 6 (s1_7) R->L }
% 0.08/0.25 ifeq(p_6, true, ifeq(p_5, true, ifeq(p_4, true, ifeq(p_3, true, ifeq(p_2, true, ifeq(p_1, true, p_0, true), true), true), true), true), true)
% 0.08/0.25 = { by axiom 11 (ifeq_axiom) R->L }
% 0.08/0.25 ifeq(true, true, ifeq(p_6, true, ifeq(p_5, true, ifeq(p_4, true, ifeq(p_3, true, ifeq(p_2, true, ifeq(p_1, true, p_0, true), true), true), true), true), true), true)
% 0.08/0.25 = { by axiom 7 (s1_8) R->L }
% 0.08/0.25 ifeq(p_7, true, ifeq(p_6, true, ifeq(p_5, true, ifeq(p_4, true, ifeq(p_3, true, ifeq(p_2, true, ifeq(p_1, true, p_0, true), true), true), true), true), true), true)
% 0.08/0.25 = { by axiom 11 (ifeq_axiom) R->L }
% 0.08/0.25 ifeq(true, true, ifeq(p_7, true, ifeq(p_6, true, ifeq(p_5, true, ifeq(p_4, true, ifeq(p_3, true, ifeq(p_2, true, ifeq(p_1, true, p_0, true), true), true), true), true), true), true), true)
% 0.08/0.25 = { by axiom 8 (s1_9) R->L }
% 0.08/0.25 ifeq(p_8, true, ifeq(p_7, true, ifeq(p_6, true, ifeq(p_5, true, ifeq(p_4, true, ifeq(p_3, true, ifeq(p_2, true, ifeq(p_1, true, p_0, true), true), true), true), true), true), true), true)
% 0.08/0.25 = { by axiom 11 (ifeq_axiom) R->L }
% 0.08/0.25 ifeq(true, true, ifeq(p_8, true, ifeq(p_7, true, ifeq(p_6, true, ifeq(p_5, true, ifeq(p_4, true, ifeq(p_3, true, ifeq(p_2, true, ifeq(p_1, true, p_0, true), true), true), true), true), true), true), true), true)
% 0.08/0.25 = { by axiom 9 (s1_10) R->L }
% 0.08/0.25 ifeq(p_9, true, ifeq(p_8, true, ifeq(p_7, true, ifeq(p_6, true, ifeq(p_5, true, ifeq(p_4, true, ifeq(p_3, true, ifeq(p_2, true, ifeq(p_1, true, p_0, true), true), true), true), true), true), true), true), true)
% 0.08/0.25 = { by axiom 11 (ifeq_axiom) R->L }
% 0.08/0.25 ifeq(true, true, ifeq(p_9, true, ifeq(p_8, true, ifeq(p_7, true, ifeq(p_6, true, ifeq(p_5, true, ifeq(p_4, true, ifeq(p_3, true, ifeq(p_2, true, ifeq(p_1, true, p_0, true), true), true), true), true), true), true), true), true), true)
% 0.08/0.25 = { by axiom 10 (s1_11) R->L }
% 0.08/0.25 ifeq(p_10, true, ifeq(p_9, true, ifeq(p_8, true, ifeq(p_7, true, ifeq(p_6, true, ifeq(p_5, true, ifeq(p_4, true, ifeq(p_3, true, ifeq(p_2, true, ifeq(p_1, true, p_0, true), true), true), true), true), true), true), true), true), true)
% 0.08/0.25 = { by axiom 12 (s1_1) }
% 0.08/0.25 true
% 0.08/0.25 % SZS output end Proof
% 0.08/0.25
% 0.08/0.25 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------