%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SYO683-1 : TPTP v9.3.1. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n012.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 : Thu Sep 24 09:12:17 AM UTC 2026
% Result : Unsatisfiable 61.64s 61.94s
% Output : Proof 61.64s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SYO683-1 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.01 This is a CNF_UNS_RFO_NEQ_NHN problem
% 0.00/0.02 % Command : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.03/0.30 % Computer : n012.cluster.edu
% 0.03/0.30 % Model : x86_64 x86_64
% 0.03/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.30 % Memory : 8046.5625MB
% 0.03/0.30 % OS : Linux 6.8.0-71-generic
% 0.03/0.30 % CPULimit : 300
% 0.03/0.30 % WCLimit : 300
% 0.03/0.30 % DateTime : Sun Sep 20 07:46:52 UTC 2026
% 0.03/0.30 % CPUTime :
% 61.64/61.94 % SZS status Unsatisfiable for theBenchmark
% 61.64/61.94 % SZS output start Proof for theBenchmark
% 61.64/61.94 cnf(clause_469, axiom,
% 61.64/61.94 ( ~E(0, f(A_4)) | ~E(0, f(suc(A_4))) | iLEQ(suc(A_4), suc(A_4)) ),
% 61.64/61.94 file('theBenchmark.p', clause_469) ).
% 61.64/61.94
% 61.64/61.94 cnf(clause_398, axiom,
% 61.64/61.94 ( ~E(s(0), f(A_3)) | ~E(s(0), f(suc(A_3))) | iLEQ(suc(A_3), suc(A_3)) ),
% 61.64/61.94 file('theBenchmark.p', clause_398) ).
% 61.64/61.94
% 61.64/61.94 cnf(clause_451, axiom,
% 61.64/61.94 ( LE(f(A), s(s(s(s(0))))) ),
% 61.64/61.94 file('theBenchmark.p', clause_451) ).
% 61.64/61.94
% 61.64/61.94 cnf(clause_29, axiom,
% 61.64/61.94 ( ~E(s(s(0)), f(A_2)) | ~E(s(s(0)), f(suc(A_2))) | iLEQ(suc(A_2), suc(A_2)) ),
% 61.64/61.94 file('theBenchmark.p', clause_29) ).
% 61.64/61.94
% 61.64/61.94 cnf(clause_560, axiom,
% 61.64/61.94 ( ~E(s(s(s(0))), f(suc(B_159))) | ~E(s(s(s(0))), f(B_162)) | ~iLEQ(suc(B_160), suc(B_161)) | ~E(s(s(s(0))), f(suc(B_162))) | ~E(s(s(s(0))), f(B_159)) | ~E(s(s(s(0))), f(B_161)) | ~E(s(s(s(0))), f(B_160)) | ~iLEQ(suc(B_159), suc(B_160)) | ~E(s(s(s(0))), f(A_1)) | ~E(s(s(s(0))), f(suc(B_161))) | ~iLEQ(suc(B_161), suc(B_162)) | ~E(s(s(s(0))), f(suc(B_160))) | ~E(s(s(s(0))), f(suc(A_1))) | ~iLEQ(suc(A_1), suc(B_159)) ),
% 61.64/61.94 file('theBenchmark.p', clause_560) ).
% 61.64/61.94
% 61.64/61.94 cnf(clause_476, axiom,
% 61.64/61.94 ( ~LE(f(suc(B_247)), s(s(s(0)))) | E(s(s(0)), f(suc(B_247))) | LE(f(B_247), s(s(0))) ),
% 61.64/61.94 file('theBenchmark.p', clause_476) ).
% 61.64/61.94
% 61.64/61.94 cnf(clause_97, axiom,
% 61.64/61.94 ( ~LE(f(B_247), s(s(s(0)))) | E(s(s(0)), f(B_247)) | LE(f(B_247), s(s(0))) ),
% 61.64/61.94 file('theBenchmark.p', clause_97) ).
% 61.64/61.94
% 61.64/61.94 cnf(clause_443, axiom,
% 61.64/61.94 ( ~LE(f(suc(B_158)), s(s(s(s(0))))) | E(s(s(s(0))), f(suc(B_158))) | LE(f(B_158), s(s(s(0)))) ),
% 61.64/61.94 file('theBenchmark.p', clause_443) ).
% 61.64/61.94
% 61.64/61.94 cnf(clause_287, axiom,
% 61.64/61.94 ( ~LE(f(z), 0) ),
% 61.64/61.94 file('theBenchmark.p', clause_287) ).
% 61.64/61.94
% 61.64/61.94 cnf(clause_547, axiom,
% 61.64/61.94 ( ~LE(f(suc(B_309)), s(0)) | E(0, f(suc(B_309))) | LE(f(B_309), 0) ),
% 61.64/61.94 file('theBenchmark.p', clause_547) ).
% 61.64/61.94
% 61.64/61.94 cnf(clause_563, axiom,
% 61.64/61.94 ( ~E(s(s(0)), f(suc(B_249))) | ~E(s(s(0)), f(B_250)) | ~iLEQ(suc(A_2), suc(B_248)) | ~E(s(s(0)), f(B_248)) | ~E(s(s(0)), f(suc(B_251))) | ~iLEQ(suc(B_249), suc(B_250)) | ~E(s(s(0)), f(suc(A_2))) | ~E(s(s(0)), f(B_251)) | ~E(s(s(0)), f(suc(B_248))) | ~E(s(s(0)), f(suc(B_250))) | ~iLEQ(suc(B_248), suc(B_249)) | ~E(s(s(0)), f(B_249)) | ~E(s(s(0)), f(A_2)) | ~iLEQ(suc(B_250), suc(B_251)) ),
% 61.64/61.94 file('theBenchmark.p', clause_563) ).
% 61.64/61.94
% 61.64/61.94 cnf(clause_539, axiom,
% 61.64/61.94 ( ~LE(f(B_158), s(s(s(s(0))))) | E(s(s(s(0))), f(B_158)) | LE(f(B_158), s(s(s(0)))) ),
% 61.64/61.94 file('theBenchmark.p', clause_539) ).
% 61.64/61.94
% 61.64/61.94 cnf(clause_59, axiom,
% 61.64/61.94 ( ~E(s(s(s(0))), f(A_1)) | ~E(s(s(s(0))), f(suc(A_1))) | iLEQ(suc(A_1), suc(A_1)) ),
% 61.64/61.94 file('theBenchmark.p', clause_59) ).
% 61.64/61.94
% 61.64/61.94 cnf(clause_222, axiom,
% 61.64/61.94 ( ~LE(f(suc(B_291)), s(s(0))) | E(s(0), f(suc(B_291))) | LE(f(B_291), s(0)) ),
% 61.64/61.94 file('theBenchmark.p', clause_222) ).
% 61.64/61.94
% 61.64/61.94 cnf(clause_44, axiom,
% 61.64/61.94 ( ~LE(f(B_291), s(s(0))) | E(s(0), f(B_291)) | LE(f(B_291), s(0)) ),
% 61.64/61.94 file('theBenchmark.p', clause_44) ).
% 61.64/61.94
% 61.64/61.94 cnf(clause_442, axiom,
% 61.64/61.94 ( ~E(0, f(suc(B_310))) | ~E(0, f(suc(B_311))) | ~E(0, f(B_311)) | ~E(0, f(suc(B_313))) | ~E(0, f(B_310)) | ~E(0, f(B_312)) | ~E(0, f(suc(B_312))) | ~E(0, f(B_313)) | ~iLEQ(suc(B_311), suc(B_312)) | ~iLEQ(suc(B_310), suc(B_311)) | ~iLEQ(suc(A_4), suc(B_310)) | ~E(0, f(suc(A_4))) | ~iLEQ(suc(B_312), suc(B_313)) | ~E(0, f(A_4)) ),
% 61.64/61.94 file('theBenchmark.p', clause_442) ).
% 61.64/61.94
% 61.64/61.94 cnf(clause_89, axiom,
% 61.64/61.94 ( ~LE(f(B_309), s(0)) | E(0, f(B_309)) | LE(f(B_309), 0) ),
% 61.64/61.94 file('theBenchmark.p', clause_89) ).
% 61.64/61.94
% 61.64/61.94 cnf(clause_151, axiom,
% 61.64/61.94 ( ~E(s(0), f(suc(B_294))) | ~E(s(0), f(B_295)) | ~E(s(0), f(suc(B_295))) | ~E(s(0), f(suc(B_292))) | ~E(s(0), f(suc(A_3))) | ~E(s(0), f(B_294)) | ~E(s(0), f(B_292)) | ~iLEQ(suc(A_3), suc(B_292)) | ~E(s(0), f(B_293)) | ~iLEQ(suc(B_294), suc(B_295)) | ~E(s(0), f(A_3)) | ~E(s(0), f(suc(B_293))) | ~iLEQ(suc(B_293), suc(B_294)) | ~iLEQ(suc(B_292), suc(B_293)) ),
% 61.64/61.94 file('theBenchmark.p', clause_151) ).
% 61.64/61.94
% 61.64/61.94 cnf(sat_proved, plain, $false,
% 61.64/61.94 inference(cadical, [status(thm)], [
% 61.64/61.94 ]) ).
% 61.64/61.94 % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------