%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : PUZ038-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n018.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 0.48s 0.59s
% Output : Proof 0.48s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : PUZ038-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n018.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 27 22:37:54 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.48/0.59 Command-line arguments: --no-flatten-goal
% 0.48/0.59
% 0.48/0.59 % SZS status Unsatisfiable
% 0.48/0.59
% 0.48/0.59 % SZS output start Proof
% 0.48/0.59 Axiom 1 (ifeq_axiom): ifeq(X, X, Y, Z) = Y.
% 0.48/0.59 Axiom 2 (v3_down): ifeq(state(X, Y, Z, v3(W, V), U, T, S, X2, Y2, Z2, e1(s(s(W)), V), W2), true, state(X, Y, Z, v3(s(W), V), U, T, S, X2, Y2, Z2, e1(W, V), W2), true) = true.
% 0.48/0.59 Axiom 3 (initial_state): state(bb(o, s(o)), v1(o, o), v2(o, s(s(s(o)))), v3(s(s(o)), o), v4(s(s(o)), s(s(s(o)))), h(s(s(o)), s(o)), s1(s(s(s(o))), s(o)), s2(s(s(s(o))), s(s(o))), s3(s(s(s(s(o)))), s(o)), s4(s(s(s(s(o)))), s(s(o))), e1(s(s(s(s(o)))), o), e2(s(s(s(s(o)))), s(s(s(o))))) = true.
% 0.48/0.59
% 0.48/0.59 Goal 1 (goal_state): state(X, Y, Z, v3(s(s(s(o))), o), W, V, U, T, S, X2, Y2, Z2) = true.
% 0.48/0.59 The goal is true when:
% 0.48/0.59 X = bb(o, s(o))
% 0.48/0.59 Y = v1(o, o)
% 0.48/0.59 Z = v2(o, s(s(s(o))))
% 0.48/0.59 W = v4(s(s(o)), s(s(s(o))))
% 0.48/0.59 V = h(s(s(o)), s(o))
% 0.48/0.59 U = s1(s(s(s(o))), s(o))
% 0.48/0.59 T = s2(s(s(s(o))), s(s(o)))
% 0.48/0.59 S = s3(s(s(s(s(o)))), s(o))
% 0.48/0.59 X2 = s4(s(s(s(s(o)))), s(s(o)))
% 0.48/0.59 Y2 = e1(s(s(o)), o)
% 0.48/0.59 Z2 = e2(s(s(s(s(o)))), s(s(s(o))))
% 0.48/0.59
% 0.48/0.59 Proof:
% 0.48/0.59 state(bb(o, s(o)), v1(o, o), v2(o, s(s(s(o)))), v3(s(s(s(o))), o), v4(s(s(o)), s(s(s(o)))), h(s(s(o)), s(o)), s1(s(s(s(o))), s(o)), s2(s(s(s(o))), s(s(o))), s3(s(s(s(s(o)))), s(o)), s4(s(s(s(s(o)))), s(s(o))), e1(s(s(o)), o), e2(s(s(s(s(o)))), s(s(s(o)))))
% 0.48/0.59 = { by axiom 1 (ifeq_axiom) R->L }
% 0.48/0.59 ifeq(true, true, state(bb(o, s(o)), v1(o, o), v2(o, s(s(s(o)))), v3(s(s(s(o))), o), v4(s(s(o)), s(s(s(o)))), h(s(s(o)), s(o)), s1(s(s(s(o))), s(o)), s2(s(s(s(o))), s(s(o))), s3(s(s(s(s(o)))), s(o)), s4(s(s(s(s(o)))), s(s(o))), e1(s(s(o)), o), e2(s(s(s(s(o)))), s(s(s(o))))), true)
% 0.48/0.59 = { by axiom 3 (initial_state) R->L }
% 0.48/0.59 ifeq(state(bb(o, s(o)), v1(o, o), v2(o, s(s(s(o)))), v3(s(s(o)), o), v4(s(s(o)), s(s(s(o)))), h(s(s(o)), s(o)), s1(s(s(s(o))), s(o)), s2(s(s(s(o))), s(s(o))), s3(s(s(s(s(o)))), s(o)), s4(s(s(s(s(o)))), s(s(o))), e1(s(s(s(s(o)))), o), e2(s(s(s(s(o)))), s(s(s(o))))), true, state(bb(o, s(o)), v1(o, o), v2(o, s(s(s(o)))), v3(s(s(s(o))), o), v4(s(s(o)), s(s(s(o)))), h(s(s(o)), s(o)), s1(s(s(s(o))), s(o)), s2(s(s(s(o))), s(s(o))), s3(s(s(s(s(o)))), s(o)), s4(s(s(s(s(o)))), s(s(o))), e1(s(s(o)), o), e2(s(s(s(s(o)))), s(s(s(o))))), true)
% 0.48/0.59 = { by axiom 2 (v3_down) }
% 0.48/0.59 true
% 0.48/0.59 % SZS output end Proof
% 0.48/0.59
% 0.48/0.59 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------