%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : SYN215-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox/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 01:47:20 PM UTC 2026
% Result : Unsatisfiable 7.73s 1.30s
% Output : Proof 8.36s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN215-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.05 % Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.17 % Computer : n017.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 15:33:36 UTC 2026
% 0.07/0.17 % CPUTime :
% 0.07/0.17 Running run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.73/1.30 Command-line arguments: --flatten-regeneralise
% 7.73/1.30
% 7.73/1.30 % SZS status Unsatisfiable
% 7.73/1.30
% 8.36/1.33 % SZS output start Proof
% 8.36/1.33 Axiom 1 (axiom_32): k0(b) = true.
% 8.36/1.33 Axiom 2 (axiom_20): l0(a) = true.
% 8.36/1.33 Axiom 3 (axiom_15): n0(a, b) = true.
% 8.36/1.33 Axiom 4 (axiom_34): n0(c, d) = true.
% 8.36/1.33 Axiom 5 (axiom_17): q0(X, d) = true.
% 8.36/1.33 Axiom 6 (axiom_14): p0(b, X) = true.
% 8.36/1.33 Axiom 7 (axiom_19): m0(X, d, Y) = true.
% 8.36/1.33 Axiom 8 (ifeq_axiom): ifeq(X, X, Y, Z) = Y.
% 8.36/1.33 Axiom 9 (rule_001): ifeq(n0(X, Y), true, k1(Y), true) = true.
% 8.36/1.33 Axiom 10 (rule_088): ifeq(l0(a), true, p1(a, a, a), true) = true.
% 8.36/1.33 Axiom 11 (rule_277): ifeq(p3(X, Y, Z), true, l4(Z), true) = true.
% 8.36/1.33 Axiom 12 (rule_240): ifeq(p2(X, Y, Z), true, n3(Z), true) = true.
% 8.36/1.33 Axiom 13 (rule_045): ifeq(q0(d, d), true, n1(d, d, d), true) = true.
% 8.36/1.33 Axiom 14 (rule_006): ifeq(m0(X, X, Y), true, m1(Y, Y, Y), true) = true.
% 8.36/1.33 Axiom 15 (rule_150): ifeq(m1(X, X, Y), true, p2(Y, Y, Y), true) = true.
% 8.36/1.33 Axiom 16 (rule_329): ifeq(r4(X), true, ifeq(l4(Y), true, s5(Y), true), true) = true.
% 8.36/1.33 Axiom 17 (rule_250): ifeq(q2(X, Y, Z), true, ifeq(k1(Z), true, p3(Z, Z, Z), true), true) = true.
% 8.36/1.33 Axiom 18 (rule_255): ifeq(q2(X, Y, Z), true, ifeq(n0(X, Y), true, q3(Y, Z), true), true) = true.
% 8.36/1.33 Axiom 19 (rule_177): ifeq(p1(X, X, X), true, ifeq(k0(Y), true, q2(X, Y, Y), true), true) = true.
% 8.36/1.33 Axiom 20 (rule_178): ifeq(n1(X, Y, Z), true, ifeq(q0(X, Y), true, q2(Y, Y, Y), true), true) = true.
% 8.36/1.33 Axiom 21 (rule_298): ifeq(q3(X, Y), true, ifeq(n3(Z), true, ifeq(p0(W, Z), true, r4(Z), true), true), true) = true.
% 8.36/1.33
% 8.36/1.33 Goal 1 (prove_this): s5(d) = true.
% 8.36/1.33 Proof:
% 8.36/1.33 s5(d)
% 8.36/1.33 = { by axiom 8 (ifeq_axiom) R->L }
% 8.36/1.33 ifeq(true, true, s5(d), true)
% 8.36/1.33 = { by axiom 21 (rule_298) R->L }
% 8.36/1.33 ifeq(ifeq(q3(b, b), true, ifeq(n3(X), true, ifeq(p0(b, X), true, r4(X), true), true), true), true, s5(d), true)
% 8.36/1.33 = { by axiom 8 (ifeq_axiom) R->L }
% 8.36/1.33 ifeq(ifeq(ifeq(true, true, q3(b, b), true), true, ifeq(n3(X), true, ifeq(p0(b, X), true, r4(X), true), true), true), true, s5(d), true)
% 8.36/1.33 = { by axiom 3 (axiom_15) R->L }
% 8.36/1.33 ifeq(ifeq(ifeq(n0(a, b), true, q3(b, b), true), true, ifeq(n3(X), true, ifeq(p0(b, X), true, r4(X), true), true), true), true, s5(d), true)
% 8.36/1.33 = { by axiom 8 (ifeq_axiom) R->L }
% 8.36/1.33 ifeq(ifeq(ifeq(true, true, ifeq(n0(a, b), true, q3(b, b), true), true), true, ifeq(n3(X), true, ifeq(p0(b, X), true, r4(X), true), true), true), true, s5(d), true)
% 8.36/1.33 = { by axiom 19 (rule_177) R->L }
% 8.36/1.33 ifeq(ifeq(ifeq(ifeq(p1(a, a, a), true, ifeq(k0(b), true, q2(a, b, b), true), true), true, ifeq(n0(a, b), true, q3(b, b), true), true), true, ifeq(n3(X), true, ifeq(p0(b, X), true, r4(X), true), true), true), true, s5(d), true)
% 8.36/1.33 = { by axiom 8 (ifeq_axiom) R->L }
% 8.36/1.33 ifeq(ifeq(ifeq(ifeq(ifeq(true, true, p1(a, a, a), true), true, ifeq(k0(b), true, q2(a, b, b), true), true), true, ifeq(n0(a, b), true, q3(b, b), true), true), true, ifeq(n3(X), true, ifeq(p0(b, X), true, r4(X), true), true), true), true, s5(d), true)
% 8.36/1.33 = { by axiom 2 (axiom_20) R->L }
% 8.36/1.33 ifeq(ifeq(ifeq(ifeq(ifeq(l0(a), true, p1(a, a, a), true), true, ifeq(k0(b), true, q2(a, b, b), true), true), true, ifeq(n0(a, b), true, q3(b, b), true), true), true, ifeq(n3(X), true, ifeq(p0(b, X), true, r4(X), true), true), true), true, s5(d), true)
% 8.36/1.33 = { by axiom 10 (rule_088) }
% 8.36/1.33 ifeq(ifeq(ifeq(ifeq(true, true, ifeq(k0(b), true, q2(a, b, b), true), true), true, ifeq(n0(a, b), true, q3(b, b), true), true), true, ifeq(n3(X), true, ifeq(p0(b, X), true, r4(X), true), true), true), true, s5(d), true)
% 8.36/1.33 = { by axiom 8 (ifeq_axiom) }
% 8.36/1.33 ifeq(ifeq(ifeq(ifeq(k0(b), true, q2(a, b, b), true), true, ifeq(n0(a, b), true, q3(b, b), true), true), true, ifeq(n3(X), true, ifeq(p0(b, X), true, r4(X), true), true), true), true, s5(d), true)
% 8.36/1.33 = { by axiom 1 (axiom_32) }
% 8.36/1.33 ifeq(ifeq(ifeq(ifeq(true, true, q2(a, b, b), true), true, ifeq(n0(a, b), true, q3(b, b), true), true), true, ifeq(n3(X), true, ifeq(p0(b, X), true, r4(X), true), true), true), true, s5(d), true)
% 8.36/1.33 = { by axiom 8 (ifeq_axiom) }
% 8.36/1.33 ifeq(ifeq(ifeq(q2(a, b, b), true, ifeq(n0(a, b), true, q3(b, b), true), true), true, ifeq(n3(X), true, ifeq(p0(b, X), true, r4(X), true), true), true), true, s5(d), true)
% 8.36/1.33 = { by axiom 18 (rule_255) }
% 8.36/1.33 ifeq(ifeq(true, true, ifeq(n3(X), true, ifeq(p0(b, X), true, r4(X), true), true), true), true, s5(d), true)
% 8.36/1.33 = { by axiom 8 (ifeq_axiom) }
% 8.36/1.33 ifeq(ifeq(n3(X), true, ifeq(p0(b, X), true, r4(X), true), true), true, s5(d), true)
% 8.36/1.33 = { by axiom 8 (ifeq_axiom) R->L }
% 8.36/1.33 ifeq(ifeq(ifeq(true, true, n3(X), true), true, ifeq(p0(b, X), true, r4(X), true), true), true, s5(d), true)
% 8.36/1.33 = { by axiom 15 (rule_150) R->L }
% 8.36/1.33 ifeq(ifeq(ifeq(ifeq(m1(X, X, X), true, p2(X, X, X), true), true, n3(X), true), true, ifeq(p0(b, X), true, r4(X), true), true), true, s5(d), true)
% 8.36/1.33 = { by axiom 8 (ifeq_axiom) R->L }
% 8.36/1.33 ifeq(ifeq(ifeq(ifeq(ifeq(true, true, m1(X, X, X), true), true, p2(X, X, X), true), true, n3(X), true), true, ifeq(p0(b, X), true, r4(X), true), true), true, s5(d), true)
% 8.36/1.33 = { by axiom 7 (axiom_19) R->L }
% 8.36/1.33 ifeq(ifeq(ifeq(ifeq(ifeq(m0(d, d, X), true, m1(X, X, X), true), true, p2(X, X, X), true), true, n3(X), true), true, ifeq(p0(b, X), true, r4(X), true), true), true, s5(d), true)
% 8.36/1.33 = { by axiom 14 (rule_006) }
% 8.36/1.33 ifeq(ifeq(ifeq(ifeq(true, true, p2(X, X, X), true), true, n3(X), true), true, ifeq(p0(b, X), true, r4(X), true), true), true, s5(d), true)
% 8.36/1.33 = { by axiom 8 (ifeq_axiom) }
% 8.36/1.33 ifeq(ifeq(ifeq(p2(X, X, X), true, n3(X), true), true, ifeq(p0(b, X), true, r4(X), true), true), true, s5(d), true)
% 8.36/1.33 = { by axiom 12 (rule_240) }
% 8.36/1.33 ifeq(ifeq(true, true, ifeq(p0(b, X), true, r4(X), true), true), true, s5(d), true)
% 8.36/1.33 = { by axiom 8 (ifeq_axiom) }
% 8.36/1.33 ifeq(ifeq(p0(b, X), true, r4(X), true), true, s5(d), true)
% 8.36/1.33 = { by axiom 6 (axiom_14) }
% 8.36/1.33 ifeq(ifeq(true, true, r4(X), true), true, s5(d), true)
% 8.36/1.33 = { by axiom 8 (ifeq_axiom) }
% 8.36/1.33 ifeq(r4(X), true, s5(d), true)
% 8.36/1.33 = { by axiom 8 (ifeq_axiom) R->L }
% 8.36/1.33 ifeq(r4(X), true, ifeq(true, true, s5(d), true), true)
% 8.36/1.33 = { by axiom 11 (rule_277) R->L }
% 8.36/1.33 ifeq(r4(X), true, ifeq(ifeq(p3(d, d, d), true, l4(d), true), true, s5(d), true), true)
% 8.36/1.33 = { by axiom 8 (ifeq_axiom) R->L }
% 8.36/1.33 ifeq(r4(X), true, ifeq(ifeq(ifeq(true, true, p3(d, d, d), true), true, l4(d), true), true, s5(d), true), true)
% 8.36/1.33 = { by axiom 9 (rule_001) R->L }
% 8.36/1.33 ifeq(r4(X), true, ifeq(ifeq(ifeq(ifeq(n0(c, d), true, k1(d), true), true, p3(d, d, d), true), true, l4(d), true), true, s5(d), true), true)
% 8.36/1.33 = { by axiom 4 (axiom_34) }
% 8.36/1.33 ifeq(r4(X), true, ifeq(ifeq(ifeq(ifeq(true, true, k1(d), true), true, p3(d, d, d), true), true, l4(d), true), true, s5(d), true), true)
% 8.36/1.33 = { by axiom 8 (ifeq_axiom) }
% 8.36/1.33 ifeq(r4(X), true, ifeq(ifeq(ifeq(k1(d), true, p3(d, d, d), true), true, l4(d), true), true, s5(d), true), true)
% 8.36/1.33 = { by axiom 8 (ifeq_axiom) R->L }
% 8.36/1.33 ifeq(r4(X), true, ifeq(ifeq(ifeq(true, true, ifeq(k1(d), true, p3(d, d, d), true), true), true, l4(d), true), true, s5(d), true), true)
% 8.36/1.33 = { by axiom 20 (rule_178) R->L }
% 8.36/1.33 ifeq(r4(X), true, ifeq(ifeq(ifeq(ifeq(n1(d, d, d), true, ifeq(q0(d, d), true, q2(d, d, d), true), true), true, ifeq(k1(d), true, p3(d, d, d), true), true), true, l4(d), true), true, s5(d), true), true)
% 8.36/1.33 = { by axiom 8 (ifeq_axiom) R->L }
% 8.36/1.33 ifeq(r4(X), true, ifeq(ifeq(ifeq(ifeq(ifeq(true, true, n1(d, d, d), true), true, ifeq(q0(d, d), true, q2(d, d, d), true), true), true, ifeq(k1(d), true, p3(d, d, d), true), true), true, l4(d), true), true, s5(d), true), true)
% 8.36/1.33 = { by axiom 5 (axiom_17) R->L }
% 8.36/1.33 ifeq(r4(X), true, ifeq(ifeq(ifeq(ifeq(ifeq(q0(d, d), true, n1(d, d, d), true), true, ifeq(q0(d, d), true, q2(d, d, d), true), true), true, ifeq(k1(d), true, p3(d, d, d), true), true), true, l4(d), true), true, s5(d), true), true)
% 8.36/1.33 = { by axiom 13 (rule_045) }
% 8.36/1.33 ifeq(r4(X), true, ifeq(ifeq(ifeq(ifeq(true, true, ifeq(q0(d, d), true, q2(d, d, d), true), true), true, ifeq(k1(d), true, p3(d, d, d), true), true), true, l4(d), true), true, s5(d), true), true)
% 8.36/1.33 = { by axiom 8 (ifeq_axiom) }
% 8.36/1.33 ifeq(r4(X), true, ifeq(ifeq(ifeq(ifeq(q0(d, d), true, q2(d, d, d), true), true, ifeq(k1(d), true, p3(d, d, d), true), true), true, l4(d), true), true, s5(d), true), true)
% 8.36/1.33 = { by axiom 5 (axiom_17) }
% 8.36/1.33 ifeq(r4(X), true, ifeq(ifeq(ifeq(ifeq(true, true, q2(d, d, d), true), true, ifeq(k1(d), true, p3(d, d, d), true), true), true, l4(d), true), true, s5(d), true), true)
% 8.36/1.33 = { by axiom 8 (ifeq_axiom) }
% 8.36/1.33 ifeq(r4(X), true, ifeq(ifeq(ifeq(q2(d, d, d), true, ifeq(k1(d), true, p3(d, d, d), true), true), true, l4(d), true), true, s5(d), true), true)
% 8.36/1.33 = { by axiom 17 (rule_250) }
% 8.36/1.34 ifeq(r4(X), true, ifeq(ifeq(true, true, l4(d), true), true, s5(d), true), true)
% 8.36/1.34 = { by axiom 8 (ifeq_axiom) }
% 8.36/1.34 ifeq(r4(X), true, ifeq(l4(d), true, s5(d), true), true)
% 8.36/1.34 = { by axiom 16 (rule_329) }
% 8.36/1.34 true
% 8.36/1.34 % SZS output end Proof
% 8.36/1.34
% 8.36/1.34 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------