%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : SYN111-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n019.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 01:47:06 PM UTC 2026
% Result : Unsatisfiable 17.89s 2.56s
% Output : Proof 17.89s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN111-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.17 % Computer : n019.cluster.edu
% 0.07/0.17 % Model : x86_64 x86_64
% 0.07/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.17 % Memory : 8046.5625MB
% 0.07/0.17 % OS : Linux 6.8.0-71-generic
% 0.07/0.17 % CPULimit : 300
% 0.07/0.17 % WCLimit : 300
% 0.07/0.17 % DateTime : Mon Sep 28 15:34:33 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 17.89/2.56 Command-line arguments: --no-flatten-goal
% 17.89/2.56
% 17.89/2.56 % SZS status Unsatisfiable
% 17.89/2.56
% 17.89/2.57 % SZS output start Proof
% 17.89/2.57 Axiom 1 (axiom_13): r0(e) = true.
% 17.89/2.57 Axiom 2 (axiom_32): k0(b) = true.
% 17.89/2.57 Axiom 3 (axiom_24): l0(c) = true.
% 17.89/2.57 Axiom 4 (axiom_15): n0(a, b) = true.
% 17.89/2.57 Axiom 5 (axiom_3): n0(d, e) = true.
% 17.89/2.57 Axiom 6 (axiom_14): p0(b, X) = true.
% 17.89/2.57 Axiom 7 (axiom_19): m0(X, d, Y) = true.
% 17.89/2.57 Axiom 8 (ifeq_axiom): ifeq(X, X, Y, Z) = Y.
% 17.89/2.57 Axiom 9 (rule_001): ifeq(n0(X, Y), true, k1(Y), true) = true.
% 17.89/2.57 Axiom 10 (rule_129): ifeq(q1(X, Y, Y), true, k2(Y, Y), true) = true.
% 17.89/2.57 Axiom 11 (rule_021): ifeq(k0(X), true, ifeq(l0(Y), true, m1(Y, X, Y), true), true) = true.
% 17.89/2.57 Axiom 12 (rule_007): ifeq(p0(X, Y), true, ifeq(r0(Z), true, m1(Z, Y, Z), true), true) = true.
% 17.89/2.57 Axiom 13 (rule_107): ifeq(m0(e, d, X), true, ifeq(m0(X, d, X), true, q1(e, X, X), true), true) = true.
% 17.89/2.57 Axiom 14 (rule_127): ifeq(k2(X, Y), true, ifeq(m1(Z, Y, W), true, ifeq(k1(X), true, k2(W, Y), true), true), true) = true.
% 17.89/2.57
% 17.89/2.57 Goal 1 (prove_this): k2(c, b) = true.
% 17.89/2.57 Proof:
% 17.89/2.57 k2(c, b)
% 17.89/2.57 = { by axiom 8 (ifeq_axiom) R->L }
% 17.89/2.57 ifeq(true, true, k2(c, b), true)
% 17.89/2.57 = { by axiom 11 (rule_021) R->L }
% 17.89/2.57 ifeq(ifeq(k0(b), true, ifeq(l0(c), true, m1(c, b, c), true), true), true, k2(c, b), true)
% 17.89/2.57 = { by axiom 2 (axiom_32) }
% 17.89/2.57 ifeq(ifeq(true, true, ifeq(l0(c), true, m1(c, b, c), true), true), true, k2(c, b), true)
% 17.89/2.57 = { by axiom 8 (ifeq_axiom) }
% 17.89/2.57 ifeq(ifeq(l0(c), true, m1(c, b, c), true), true, k2(c, b), true)
% 17.89/2.57 = { by axiom 3 (axiom_24) }
% 17.89/2.57 ifeq(ifeq(true, true, m1(c, b, c), true), true, k2(c, b), true)
% 17.89/2.57 = { by axiom 8 (ifeq_axiom) }
% 17.89/2.57 ifeq(m1(c, b, c), true, k2(c, b), true)
% 17.89/2.57 = { by axiom 8 (ifeq_axiom) R->L }
% 17.89/2.57 ifeq(m1(c, b, c), true, ifeq(true, true, k2(c, b), true), true)
% 17.89/2.57 = { by axiom 9 (rule_001) R->L }
% 17.89/2.57 ifeq(m1(c, b, c), true, ifeq(ifeq(n0(d, e), true, k1(e), true), true, k2(c, b), true), true)
% 17.89/2.57 = { by axiom 5 (axiom_3) }
% 17.89/2.57 ifeq(m1(c, b, c), true, ifeq(ifeq(true, true, k1(e), true), true, k2(c, b), true), true)
% 17.89/2.57 = { by axiom 8 (ifeq_axiom) }
% 17.89/2.57 ifeq(m1(c, b, c), true, ifeq(k1(e), true, k2(c, b), true), true)
% 17.89/2.57 = { by axiom 8 (ifeq_axiom) R->L }
% 17.89/2.57 ifeq(true, true, ifeq(m1(c, b, c), true, ifeq(k1(e), true, k2(c, b), true), true), true)
% 17.89/2.57 = { by axiom 14 (rule_127) R->L }
% 17.89/2.57 ifeq(ifeq(k2(b, b), true, ifeq(m1(e, b, e), true, ifeq(k1(b), true, k2(e, b), true), true), true), true, ifeq(m1(c, b, c), true, ifeq(k1(e), true, k2(c, b), true), true), true)
% 17.89/2.57 = { by axiom 8 (ifeq_axiom) R->L }
% 17.89/2.57 ifeq(ifeq(k2(b, b), true, ifeq(ifeq(true, true, m1(e, b, e), true), true, ifeq(k1(b), true, k2(e, b), true), true), true), true, ifeq(m1(c, b, c), true, ifeq(k1(e), true, k2(c, b), true), true), true)
% 17.89/2.57 = { by axiom 1 (axiom_13) R->L }
% 17.89/2.57 ifeq(ifeq(k2(b, b), true, ifeq(ifeq(r0(e), true, m1(e, b, e), true), true, ifeq(k1(b), true, k2(e, b), true), true), true), true, ifeq(m1(c, b, c), true, ifeq(k1(e), true, k2(c, b), true), true), true)
% 17.89/2.57 = { by axiom 8 (ifeq_axiom) R->L }
% 17.89/2.57 ifeq(ifeq(k2(b, b), true, ifeq(ifeq(true, true, ifeq(r0(e), true, m1(e, b, e), true), true), true, ifeq(k1(b), true, k2(e, b), true), true), true), true, ifeq(m1(c, b, c), true, ifeq(k1(e), true, k2(c, b), true), true), true)
% 17.89/2.57 = { by axiom 6 (axiom_14) R->L }
% 17.89/2.57 ifeq(ifeq(k2(b, b), true, ifeq(ifeq(p0(b, b), true, ifeq(r0(e), true, m1(e, b, e), true), true), true, ifeq(k1(b), true, k2(e, b), true), true), true), true, ifeq(m1(c, b, c), true, ifeq(k1(e), true, k2(c, b), true), true), true)
% 17.89/2.57 = { by axiom 12 (rule_007) }
% 17.89/2.57 ifeq(ifeq(k2(b, b), true, ifeq(true, true, ifeq(k1(b), true, k2(e, b), true), true), true), true, ifeq(m1(c, b, c), true, ifeq(k1(e), true, k2(c, b), true), true), true)
% 17.89/2.57 = { by axiom 8 (ifeq_axiom) }
% 17.89/2.57 ifeq(ifeq(k2(b, b), true, ifeq(k1(b), true, k2(e, b), true), true), true, ifeq(m1(c, b, c), true, ifeq(k1(e), true, k2(c, b), true), true), true)
% 17.89/2.58 = { by axiom 8 (ifeq_axiom) R->L }
% 17.89/2.58 ifeq(ifeq(ifeq(true, true, k2(b, b), true), true, ifeq(k1(b), true, k2(e, b), true), true), true, ifeq(m1(c, b, c), true, ifeq(k1(e), true, k2(c, b), true), true), true)
% 17.89/2.58 = { by axiom 13 (rule_107) R->L }
% 17.89/2.58 ifeq(ifeq(ifeq(ifeq(m0(e, d, b), true, ifeq(m0(b, d, b), true, q1(e, b, b), true), true), true, k2(b, b), true), true, ifeq(k1(b), true, k2(e, b), true), true), true, ifeq(m1(c, b, c), true, ifeq(k1(e), true, k2(c, b), true), true), true)
% 17.89/2.58 = { by axiom 7 (axiom_19) }
% 17.89/2.58 ifeq(ifeq(ifeq(ifeq(true, true, ifeq(m0(b, d, b), true, q1(e, b, b), true), true), true, k2(b, b), true), true, ifeq(k1(b), true, k2(e, b), true), true), true, ifeq(m1(c, b, c), true, ifeq(k1(e), true, k2(c, b), true), true), true)
% 17.89/2.58 = { by axiom 8 (ifeq_axiom) }
% 17.89/2.58 ifeq(ifeq(ifeq(ifeq(m0(b, d, b), true, q1(e, b, b), true), true, k2(b, b), true), true, ifeq(k1(b), true, k2(e, b), true), true), true, ifeq(m1(c, b, c), true, ifeq(k1(e), true, k2(c, b), true), true), true)
% 17.89/2.58 = { by axiom 7 (axiom_19) }
% 17.89/2.58 ifeq(ifeq(ifeq(ifeq(true, true, q1(e, b, b), true), true, k2(b, b), true), true, ifeq(k1(b), true, k2(e, b), true), true), true, ifeq(m1(c, b, c), true, ifeq(k1(e), true, k2(c, b), true), true), true)
% 17.89/2.58 = { by axiom 8 (ifeq_axiom) }
% 17.89/2.58 ifeq(ifeq(ifeq(q1(e, b, b), true, k2(b, b), true), true, ifeq(k1(b), true, k2(e, b), true), true), true, ifeq(m1(c, b, c), true, ifeq(k1(e), true, k2(c, b), true), true), true)
% 17.89/2.58 = { by axiom 10 (rule_129) }
% 17.89/2.58 ifeq(ifeq(true, true, ifeq(k1(b), true, k2(e, b), true), true), true, ifeq(m1(c, b, c), true, ifeq(k1(e), true, k2(c, b), true), true), true)
% 17.89/2.58 = { by axiom 8 (ifeq_axiom) }
% 17.89/2.58 ifeq(ifeq(k1(b), true, k2(e, b), true), true, ifeq(m1(c, b, c), true, ifeq(k1(e), true, k2(c, b), true), true), true)
% 17.89/2.58 = { by axiom 8 (ifeq_axiom) R->L }
% 17.89/2.58 ifeq(ifeq(ifeq(true, true, k1(b), true), true, k2(e, b), true), true, ifeq(m1(c, b, c), true, ifeq(k1(e), true, k2(c, b), true), true), true)
% 17.89/2.58 = { by axiom 4 (axiom_15) R->L }
% 17.89/2.58 ifeq(ifeq(ifeq(n0(a, b), true, k1(b), true), true, k2(e, b), true), true, ifeq(m1(c, b, c), true, ifeq(k1(e), true, k2(c, b), true), true), true)
% 17.89/2.58 = { by axiom 9 (rule_001) }
% 17.89/2.58 ifeq(ifeq(true, true, k2(e, b), true), true, ifeq(m1(c, b, c), true, ifeq(k1(e), true, k2(c, b), true), true), true)
% 17.89/2.58 = { by axiom 8 (ifeq_axiom) }
% 17.89/2.58 ifeq(k2(e, b), true, ifeq(m1(c, b, c), true, ifeq(k1(e), true, k2(c, b), true), true), true)
% 17.89/2.58 = { by axiom 14 (rule_127) }
% 17.89/2.58 true
% 17.89/2.58 % SZS output end Proof
% 17.89/2.58
% 17.89/2.58 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------