%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : SYN191-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n016.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 01:47:16 PM UTC 2026
% Result : Unsatisfiable 9.93s 1.54s
% Output : Proof 9.93s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN191-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.17 % Computer : n016.cluster.edu
% 0.08/0.17 % Model : x86_64 x86_64
% 0.08/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.17 % Memory : 8046.5625MB
% 0.08/0.17 % OS : Linux 6.8.0-71-generic
% 0.08/0.17 % CPULimit : 300
% 0.08/0.17 % WCLimit : 300
% 0.08/0.17 % DateTime : Mon Sep 28 15:43:03 UTC 2026
% 0.08/0.17 % CPUTime :
% 0.08/0.17 Running run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 9.93/1.54 Command-line arguments: --lhs-weight 9 --flip-ordering --complete-subsets --normalise-queue-percent 10 --cp-renormalise-threshold 10
% 9.93/1.54
% 9.93/1.54 % SZS status Unsatisfiable
% 9.93/1.54
% 9.93/1.55 % SZS output start Proof
% 9.93/1.55 Axiom 1 (axiom_9): r0(b) = true.
% 9.93/1.55 Axiom 2 (axiom_5): s0(b) = true.
% 9.93/1.55 Axiom 3 (axiom_14): p0(b, X) = true.
% 9.93/1.55 Axiom 4 (axiom_18): p0(c, b) = true.
% 9.93/1.55 Axiom 5 (ifeq_axiom): ifeq(X, X, Y, Z) = Y.
% 9.93/1.55 Axiom 6 (rule_057): ifeq(r0(X), true, n1(X, X, X), true) = true.
% 9.93/1.55 Axiom 7 (rule_267): ifeq(p2(X, Y, Z), true, r3(X, Z, X), true) = true.
% 9.93/1.55 Axiom 8 (rule_176): ifeq(m1(X, Y, X), true, p2(Y, X, Y), true) = true.
% 9.93/1.55 Axiom 9 (rule_029): ifeq(p0(X, Y), true, ifeq(s0(X), true, m1(X, Y, X), true), true) = true.
% 9.93/1.55 Axiom 10 (rule_152): ifeq(p2(X, Y, X), true, ifeq(n1(Z, Y, Z), true, ifeq(p0(X, Y), true, p2(X, Y, Y), true), true), true) = true.
% 9.93/1.55
% 9.93/1.55 Goal 1 (prove_this): r3(c, b, c) = true.
% 9.93/1.55 Proof:
% 9.93/1.55 r3(c, b, c)
% 9.93/1.55 = { by axiom 5 (ifeq_axiom) R->L }
% 9.93/1.55 ifeq(true, true, r3(c, b, c), true)
% 9.93/1.55 = { by axiom 10 (rule_152) R->L }
% 9.93/1.55 ifeq(ifeq(p2(c, b, c), true, ifeq(n1(b, b, b), true, ifeq(p0(c, b), true, p2(c, b, b), true), true), true), true, r3(c, b, c), true)
% 9.93/1.55 = { by axiom 5 (ifeq_axiom) R->L }
% 9.93/1.55 ifeq(ifeq(p2(c, b, c), true, ifeq(ifeq(true, true, n1(b, b, b), true), true, ifeq(p0(c, b), true, p2(c, b, b), true), true), true), true, r3(c, b, c), true)
% 9.93/1.55 = { by axiom 1 (axiom_9) R->L }
% 9.93/1.55 ifeq(ifeq(p2(c, b, c), true, ifeq(ifeq(r0(b), true, n1(b, b, b), true), true, ifeq(p0(c, b), true, p2(c, b, b), true), true), true), true, r3(c, b, c), true)
% 9.93/1.55 = { by axiom 6 (rule_057) }
% 9.93/1.55 ifeq(ifeq(p2(c, b, c), true, ifeq(true, true, ifeq(p0(c, b), true, p2(c, b, b), true), true), true), true, r3(c, b, c), true)
% 9.93/1.55 = { by axiom 5 (ifeq_axiom) R->L }
% 9.93/1.55 ifeq(ifeq(ifeq(true, true, p2(c, b, c), true), true, ifeq(true, true, ifeq(p0(c, b), true, p2(c, b, b), true), true), true), true, r3(c, b, c), true)
% 9.93/1.55 = { by axiom 9 (rule_029) R->L }
% 9.93/1.55 ifeq(ifeq(ifeq(ifeq(p0(b, c), true, ifeq(s0(b), true, m1(b, c, b), true), true), true, p2(c, b, c), true), true, ifeq(true, true, ifeq(p0(c, b), true, p2(c, b, b), true), true), true), true, r3(c, b, c), true)
% 9.93/1.55 = { by axiom 2 (axiom_5) }
% 9.93/1.55 ifeq(ifeq(ifeq(ifeq(p0(b, c), true, ifeq(true, true, m1(b, c, b), true), true), true, p2(c, b, c), true), true, ifeq(true, true, ifeq(p0(c, b), true, p2(c, b, b), true), true), true), true, r3(c, b, c), true)
% 9.93/1.55 = { by axiom 3 (axiom_14) }
% 9.93/1.55 ifeq(ifeq(ifeq(ifeq(true, true, ifeq(true, true, m1(b, c, b), true), true), true, p2(c, b, c), true), true, ifeq(true, true, ifeq(p0(c, b), true, p2(c, b, b), true), true), true), true, r3(c, b, c), true)
% 9.93/1.55 = { by axiom 5 (ifeq_axiom) }
% 9.93/1.55 ifeq(ifeq(ifeq(ifeq(true, true, m1(b, c, b), true), true, p2(c, b, c), true), true, ifeq(true, true, ifeq(p0(c, b), true, p2(c, b, b), true), true), true), true, r3(c, b, c), true)
% 9.93/1.55 = { by axiom 5 (ifeq_axiom) }
% 9.93/1.55 ifeq(ifeq(ifeq(m1(b, c, b), true, p2(c, b, c), true), true, ifeq(true, true, ifeq(p0(c, b), true, p2(c, b, b), true), true), true), true, r3(c, b, c), true)
% 9.93/1.55 = { by axiom 8 (rule_176) }
% 9.93/1.55 ifeq(ifeq(true, true, ifeq(true, true, ifeq(p0(c, b), true, p2(c, b, b), true), true), true), true, r3(c, b, c), true)
% 9.93/1.55 = { by axiom 5 (ifeq_axiom) }
% 9.93/1.55 ifeq(ifeq(true, true, ifeq(p0(c, b), true, p2(c, b, b), true), true), true, r3(c, b, c), true)
% 9.93/1.55 = { by axiom 5 (ifeq_axiom) }
% 9.93/1.55 ifeq(ifeq(p0(c, b), true, p2(c, b, b), true), true, r3(c, b, c), true)
% 9.93/1.55 = { by axiom 4 (axiom_18) }
% 9.93/1.55 ifeq(ifeq(true, true, p2(c, b, b), true), true, r3(c, b, c), true)
% 9.93/1.55 = { by axiom 5 (ifeq_axiom) }
% 9.93/1.55 ifeq(p2(c, b, b), true, r3(c, b, c), true)
% 9.93/1.55 = { by axiom 7 (rule_267) }
% 9.93/1.55 true
% 9.93/1.55 % SZS output end Proof
% 9.93/1.55
% 9.93/1.55 RESULT: Unsatisfiable (the axioms are contradictory).
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