%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : SYN148-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n004.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 01:47:11 PM UTC 2026
% Result : Unsatisfiable 6.54s 1.12s
% Output : Proof 6.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN148-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.03 % Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.16 % Computer : n004.cluster.edu
% 0.09/0.16 % Model : x86_64 x86_64
% 0.09/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.16 % Memory : 8046.5625MB
% 0.09/0.16 % OS : Linux 6.8.0-71-generic
% 0.09/0.16 % CPULimit : 300
% 0.09/0.16 % WCLimit : 300
% 0.09/0.16 % DateTime : Mon Sep 28 15:36:51 UTC 2026
% 0.09/0.16 % CPUTime :
% 0.09/0.16 Running run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.54/1.12 Command-line arguments: --no-flatten-goal
% 6.54/1.12
% 6.54/1.12 % SZS status Unsatisfiable
% 6.54/1.12
% 6.54/1.12 % SZS output start Proof
% 6.54/1.12 Axiom 1 (axiom_24): l0(c) = true.
% 6.54/1.12 Axiom 2 (axiom_5): s0(b) = true.
% 6.54/1.12 Axiom 3 (axiom_26): n0(d, c) = true.
% 6.54/1.12 Axiom 4 (axiom_14): p0(b, X) = true.
% 6.54/1.12 Axiom 5 (ifeq_axiom): ifeq(X, X, Y, Z) = Y.
% 6.54/1.12 Axiom 6 (rule_002): ifeq(n0(X, Y), true, l1(Y, Y), true) = true.
% 6.54/1.12 Axiom 7 (rule_050): ifeq(l0(X), true, ifeq(p0(b, Y), true, ifeq(s0(b), true, n1(X, Y, X), true), true), true) = true.
% 6.54/1.12 Axiom 8 (rule_054): ifeq(n1(X, Y, X), true, ifeq(l1(Z, X), true, ifeq(l0(Z), true, n1(X, Y, Y), true), true), true) = true.
% 6.54/1.12
% 6.54/1.12 Goal 1 (prove_this): n1(c, d, d) = true.
% 6.54/1.12 Proof:
% 6.54/1.12 n1(c, d, d)
% 6.54/1.12 = { by axiom 5 (ifeq_axiom) R->L }
% 6.54/1.12 ifeq(true, true, n1(c, d, d), true)
% 6.54/1.12 = { by axiom 1 (axiom_24) R->L }
% 6.54/1.12 ifeq(l0(c), true, n1(c, d, d), true)
% 6.54/1.12 = { by axiom 5 (ifeq_axiom) R->L }
% 6.54/1.12 ifeq(true, true, ifeq(l0(c), true, n1(c, d, d), true), true)
% 6.54/1.12 = { by axiom 5 (ifeq_axiom) R->L }
% 6.54/1.12 ifeq(true, true, ifeq(true, true, ifeq(l0(c), true, n1(c, d, d), true), true), true)
% 6.54/1.12 = { by axiom 7 (rule_050) R->L }
% 6.54/1.12 ifeq(ifeq(l0(c), true, ifeq(p0(b, d), true, ifeq(s0(b), true, n1(c, d, c), true), true), true), true, ifeq(true, true, ifeq(l0(c), true, n1(c, d, d), true), true), true)
% 6.54/1.12 = { by axiom 4 (axiom_14) }
% 6.54/1.12 ifeq(ifeq(l0(c), true, ifeq(true, true, ifeq(s0(b), true, n1(c, d, c), true), true), true), true, ifeq(true, true, ifeq(l0(c), true, n1(c, d, d), true), true), true)
% 6.54/1.12 = { by axiom 5 (ifeq_axiom) }
% 6.54/1.12 ifeq(ifeq(l0(c), true, ifeq(s0(b), true, n1(c, d, c), true), true), true, ifeq(true, true, ifeq(l0(c), true, n1(c, d, d), true), true), true)
% 6.54/1.12 = { by axiom 2 (axiom_5) }
% 6.54/1.12 ifeq(ifeq(l0(c), true, ifeq(true, true, n1(c, d, c), true), true), true, ifeq(true, true, ifeq(l0(c), true, n1(c, d, d), true), true), true)
% 6.54/1.12 = { by axiom 5 (ifeq_axiom) }
% 6.54/1.12 ifeq(ifeq(l0(c), true, n1(c, d, c), true), true, ifeq(true, true, ifeq(l0(c), true, n1(c, d, d), true), true), true)
% 6.54/1.12 = { by axiom 1 (axiom_24) }
% 6.54/1.12 ifeq(ifeq(true, true, n1(c, d, c), true), true, ifeq(true, true, ifeq(l0(c), true, n1(c, d, d), true), true), true)
% 6.54/1.12 = { by axiom 5 (ifeq_axiom) }
% 6.54/1.12 ifeq(n1(c, d, c), true, ifeq(true, true, ifeq(l0(c), true, n1(c, d, d), true), true), true)
% 6.54/1.12 = { by axiom 6 (rule_002) R->L }
% 6.54/1.12 ifeq(n1(c, d, c), true, ifeq(ifeq(n0(d, c), true, l1(c, c), true), true, ifeq(l0(c), true, n1(c, d, d), true), true), true)
% 6.54/1.12 = { by axiom 3 (axiom_26) }
% 6.54/1.12 ifeq(n1(c, d, c), true, ifeq(ifeq(true, true, l1(c, c), true), true, ifeq(l0(c), true, n1(c, d, d), true), true), true)
% 6.54/1.12 = { by axiom 5 (ifeq_axiom) }
% 6.54/1.12 ifeq(n1(c, d, c), true, ifeq(l1(c, c), true, ifeq(l0(c), true, n1(c, d, d), true), true), true)
% 6.54/1.12 = { by axiom 8 (rule_054) }
% 6.54/1.12 true
% 6.54/1.12 % SZS output end Proof
% 6.54/1.12
% 6.54/1.12 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------