%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : PUZ037-2 : TPTP v9.3.1. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox2/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 12:30:49 PM UTC 2026
% Result : Unsatisfiable 1.13s 0.64s
% Output : Proof 1.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ037-2 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.39 % Computer : n004.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Sun Sep 27 22:34:36 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.13/0.64 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
% 1.13/0.64
% 1.13/0.64 % SZS status Unsatisfiable
% 1.13/0.64
% 1.13/0.64 % SZS output start Proof
% 1.13/0.64 Axiom 1 (ifeq_axiom): ifeq(X, X, Y, Z) = Y.
% 1.13/0.64 Axiom 2 (start_with_this): state(y, b, y, y, b, y, y, b, y, r, r, r, b, g, b, o, o, o, w, y, w, w, y, w, r, r, r, b, g, b, o, o, o, r, r, r, b, g, b, o, o, o, w, y, w, g, w, g, g, w, g, g, w, g) = true.
% 1.13/0.64 Axiom 3 (mxy): ifeq(state(X, Y, Z, W, V, U, T, S, X2, Y2, Z2, W2, V2, U2, T2, S2, X3, Y3, Z3, W3, V3, U3, T3, S3, X4, Y4, Z4, W4, V4, U4, T4, S4, X5, Y5, Z5, W5, V5, U5, T5, S5, X6, Y6, Z6, W6, V6, U6, T6, S6, X7, Y7, Z7, W7, V7, U7), true, state(X, Y, Z, W, V, U, T, S, X2, Y2, Z2, W2, V2, U2, T2, S2, X3, Y3, Z3, W3, V3, X4, Y4, Z4, W4, V4, U4, T4, S4, X5, U3, T3, S3, Y5, Z5, W5, V5, U5, T5, S5, X6, Y6, Z6, W6, V6, U6, T6, S6, X7, Y7, Z7, W7, V7, U7), true) = true.
% 1.13/0.64 Axiom 4 (rzx): ifeq(state(X, Y, Z, W, V, U, T, S, X2, Y2, Z2, W2, V2, U2, T2, S2, X3, Y3, Z3, W3, V3, U3, T3, S3, X4, Y4, Z4, W4, V4, U4, T4, S4, X5, Y5, Z5, W5, V5, U5, T5, S5, X6, Y6, Z6, W6, V6, U6, T6, S6, X7, Y7, Z7, W7, V7, U7), true, state(X, Y, T2, W, V, Z4, T, S, T5, Y2, Z2, W2, V2, U2, S6, S5, W4, S2, X2, W3, V3, U3, T3, S3, X4, Y4, Z7, X6, V4, X3, U, S4, X5, Y5, Z5, W5, V5, U5, U7, Y6, U4, Y3, Z, W6, V6, U6, T6, Z6, X7, Y7, T4, W7, V7, Z3), true) = true.
% 1.13/0.64 Axiom 5 (lzx): ifeq(state(X, Y, Z, W, V, U, T, S, X2, Y2, Z2, W2, V2, U2, T2, S2, X3, Y3, Z3, W3, V3, U3, T3, S3, X4, Y4, Z4, W4, V4, U4, T4, S4, X5, Y5, Z5, W5, V5, U5, T5, S5, X6, Y6, Z6, W6, V6, U6, T6, S6, X7, Y7, Z7, W7, V7, U7), true, state(V2, Y, Z, X4, V, U, V5, S, X2, W2, S3, W5, U6, U2, T2, S2, X3, Y3, Z3, W3, T, Z2, T3, Z5, X7, Y4, Z4, W4, V4, U4, T4, S4, W, Y2, U3, Y5, W7, U5, T5, S5, X6, Y6, Z6, W6, X, V6, T6, S6, X5, Y7, Z7, V3, V7, U7), true) = true.
% 1.13/0.64
% 1.13/0.64 Goal 1 (make_like_this): state(b, b, b, b, b, b, b, b, b, r, r, r, g, g, g, o, o, o, y, y, y, r, r, r, g, g, g, o, o, o, y, y, y, r, r, r, g, g, g, o, o, o, y, y, y, w, w, w, w, w, w, w, w, w) = true.
% 1.13/0.64 Proof:
% 1.13/0.64 state(b, b, b, b, b, b, b, b, b, r, r, r, g, g, g, o, o, o, y, y, y, r, r, r, g, g, g, o, o, o, y, y, y, r, r, r, g, g, g, o, o, o, y, y, y, w, w, w, w, w, w, w, w, w)
% 1.13/0.64 = { by axiom 1 (ifeq_axiom) R->L }
% 1.13/0.64 ifeq(true, true, state(b, b, b, b, b, b, b, b, b, r, r, r, g, g, g, o, o, o, y, y, y, r, r, r, g, g, g, o, o, o, y, y, y, r, r, r, g, g, g, o, o, o, y, y, y, w, w, w, w, w, w, w, w, w), true)
% 1.13/0.64 = { by axiom 4 (rzx) R->L }
% 1.13/0.64 ifeq(ifeq(state(y, b, y, y, b, y, y, b, y, r, r, r, b, g, b, o, o, o, w, y, w, r, r, r, b, g, b, o, o, o, w, y, w, r, r, r, b, g, b, o, o, o, w, y, w, g, w, g, g, w, g, g, w, g), true, state(y, b, b, y, b, b, y, b, b, r, r, r, b, g, g, o, o, o, y, y, w, r, r, r, b, g, g, o, o, o, y, y, w, r, r, r, b, g, g, o, o, o, y, y, w, g, w, w, g, w, w, g, w, w), true), true, state(b, b, b, b, b, b, b, b, b, r, r, r, g, g, g, o, o, o, y, y, y, r, r, r, g, g, g, o, o, o, y, y, y, r, r, r, g, g, g, o, o, o, y, y, y, w, w, w, w, w, w, w, w, w), true)
% 1.13/0.64 = { by axiom 1 (ifeq_axiom) R->L }
% 1.13/0.64 ifeq(ifeq(ifeq(true, true, state(y, b, y, y, b, y, y, b, y, r, r, r, b, g, b, o, o, o, w, y, w, r, r, r, b, g, b, o, o, o, w, y, w, r, r, r, b, g, b, o, o, o, w, y, w, g, w, g, g, w, g, g, w, g), true), true, state(y, b, b, y, b, b, y, b, b, r, r, r, b, g, g, o, o, o, y, y, w, r, r, r, b, g, g, o, o, o, y, y, w, r, r, r, b, g, g, o, o, o, y, y, w, g, w, w, g, w, w, g, w, w), true), true, state(b, b, b, b, b, b, b, b, b, r, r, r, g, g, g, o, o, o, y, y, y, r, r, r, g, g, g, o, o, o, y, y, y, r, r, r, g, g, g, o, o, o, y, y, y, w, w, w, w, w, w, w, w, w), true)
% 1.13/0.64 = { by axiom 2 (start_with_this) R->L }
% 1.13/0.64 ifeq(ifeq(ifeq(state(y, b, y, y, b, y, y, b, y, r, r, r, b, g, b, o, o, o, w, y, w, w, y, w, r, r, r, b, g, b, o, o, o, r, r, r, b, g, b, o, o, o, w, y, w, g, w, g, g, w, g, g, w, g), true, state(y, b, y, y, b, y, y, b, y, r, r, r, b, g, b, o, o, o, w, y, w, r, r, r, b, g, b, o, o, o, w, y, w, r, r, r, b, g, b, o, o, o, w, y, w, g, w, g, g, w, g, g, w, g), true), true, state(y, b, b, y, b, b, y, b, b, r, r, r, b, g, g, o, o, o, y, y, w, r, r, r, b, g, g, o, o, o, y, y, w, r, r, r, b, g, g, o, o, o, y, y, w, g, w, w, g, w, w, g, w, w), true), true, state(b, b, b, b, b, b, b, b, b, r, r, r, g, g, g, o, o, o, y, y, y, r, r, r, g, g, g, o, o, o, y, y, y, r, r, r, g, g, g, o, o, o, y, y, y, w, w, w, w, w, w, w, w, w), true)
% 1.13/0.64 = { by axiom 3 (mxy) }
% 1.13/0.64 ifeq(ifeq(true, true, state(y, b, b, y, b, b, y, b, b, r, r, r, b, g, g, o, o, o, y, y, w, r, r, r, b, g, g, o, o, o, y, y, w, r, r, r, b, g, g, o, o, o, y, y, w, g, w, w, g, w, w, g, w, w), true), true, state(b, b, b, b, b, b, b, b, b, r, r, r, g, g, g, o, o, o, y, y, y, r, r, r, g, g, g, o, o, o, y, y, y, r, r, r, g, g, g, o, o, o, y, y, y, w, w, w, w, w, w, w, w, w), true)
% 1.13/0.64 = { by axiom 1 (ifeq_axiom) }
% 1.13/0.64 ifeq(state(y, b, b, y, b, b, y, b, b, r, r, r, b, g, g, o, o, o, y, y, w, r, r, r, b, g, g, o, o, o, y, y, w, r, r, r, b, g, g, o, o, o, y, y, w, g, w, w, g, w, w, g, w, w), true, state(b, b, b, b, b, b, b, b, b, r, r, r, g, g, g, o, o, o, y, y, y, r, r, r, g, g, g, o, o, o, y, y, y, r, r, r, g, g, g, o, o, o, y, y, y, w, w, w, w, w, w, w, w, w), true)
% 1.13/0.64 = { by axiom 5 (lzx) }
% 1.13/0.64 true
% 1.13/0.64 % SZS output end Proof
% 1.13/0.64
% 1.13/0.64 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------