%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SYO666-1 : 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 : n015.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 09:12:15 AM UTC 2026
% Result : Unsatisfiable 0.96s 1.24s
% Output : Proof 0.96s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO666-1 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.03 This is a CNF_UNS_RFO_NEQ_NHN problem
% 0.00/0.04 % Command : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n015.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 20 07:50:19 UTC 2026
% 0.14/0.37 % CPUTime :
% 0.96/1.24 % SZS status Unsatisfiable for theBenchmark
% 0.96/1.24 % SZS output start Proof for theBenchmark
% 0.96/1.25 cnf(clause_102, axiom,
% 0.96/1.25 ( ~iLEQ(suc(B_96), suc(B_97)) | ~E(0, f(suc(A_2))) | ~E(0, f(suc(B_96))) | ~iLEQ(suc(B_97), suc(B_98)) | ~E(0, f(suc(B_97))) | ~E(0, f(A_2)) | ~E(0, f(suc(B_94))) | ~E(0, f(B_97)) | ~iLEQ(suc(B_95), suc(B_96)) | ~E(0, f(B_96)) | ~iLEQ(suc(B_94), suc(B_95)) | ~E(0, f(suc(B_98))) | ~E(0, f(B_94)) | ~iLEQ(suc(A_2), suc(B_94)) | ~E(0, f(suc(B_95))) | ~E(0, f(B_98)) | ~E(0, f(B_95)) ),
% 0.96/1.25 file('theBenchmark.p', clause_102) ).
% 0.96/1.25
% 0.96/1.25 cnf(clause_12, axiom,
% 0.96/1.25 ( ~E(0, f(A_2)) | ~E(0, f(suc(A_2))) | iLEQ(suc(A_2), suc(A_2)) ),
% 0.96/1.25 file('theBenchmark.p', clause_12) ).
% 0.96/1.25
% 0.96/1.25 cnf(clause_98, axiom,
% 0.96/1.25 ( ~LE(f(z), 0) ),
% 0.96/1.25 file('theBenchmark.p', clause_98) ).
% 0.96/1.25
% 0.96/1.25 cnf(clause_123, axiom,
% 0.96/1.25 ( ~LE(f(suc(B_93)), s(0)) | E(0, f(suc(B_93))) | LE(f(B_93), 0) ),
% 0.96/1.25 file('theBenchmark.p', clause_123) ).
% 0.96/1.25
% 0.96/1.25 cnf(clause_42, axiom,
% 0.96/1.25 ( ~LE(f(B_93), s(0)) | E(0, f(B_93)) | LE(f(B_93), 0) ),
% 0.96/1.25 file('theBenchmark.p', clause_42) ).
% 0.96/1.25
% 0.96/1.25 cnf(clause_83, axiom,
% 0.96/1.25 ( LE(f(A), s(s(0))) ),
% 0.96/1.25 file('theBenchmark.p', clause_83) ).
% 0.96/1.25
% 0.96/1.25 cnf(clause_70, axiom,
% 0.96/1.25 ( ~E(s(0), f(A_1)) | ~E(s(0), f(suc(A_1))) | iLEQ(suc(A_1), suc(A_1)) ),
% 0.96/1.25 file('theBenchmark.p', clause_70) ).
% 0.96/1.25
% 0.96/1.25 cnf(clause_29, axiom,
% 0.96/1.25 ( ~LE(f(suc(B_68)), s(s(0))) | E(s(0), f(suc(B_68))) | LE(f(B_68), s(0)) ),
% 0.96/1.25 file('theBenchmark.p', clause_29) ).
% 0.96/1.25
% 0.96/1.25 cnf(clause_185, axiom,
% 0.96/1.25 ( ~LE(f(B_68), s(s(0))) | E(s(0), f(B_68)) | LE(f(B_68), s(0)) ),
% 0.96/1.25 file('theBenchmark.p', clause_185) ).
% 0.96/1.25
% 0.96/1.25 cnf(clause_179, axiom,
% 0.96/1.25 ( ~E(s(0), f(B_69)) | ~iLEQ(suc(B_71), suc(B_72)) | ~E(s(0), f(A_1)) | ~E(s(0), f(suc(A_1))) | ~iLEQ(suc(B_70), suc(B_71)) | ~E(s(0), f(B_71)) | ~E(s(0), f(suc(B_71))) | ~iLEQ(suc(B_69), suc(B_70)) | ~E(s(0), f(suc(B_69))) | ~iLEQ(suc(B_72), suc(B_73)) | ~E(s(0), f(suc(B_70))) | ~E(s(0), f(B_73)) | ~E(s(0), f(suc(B_72))) | ~iLEQ(suc(A_1), suc(B_69)) | ~E(s(0), f(B_70)) | ~E(s(0), f(B_72)) | ~E(s(0), f(suc(B_73))) ),
% 0.96/1.25 file('theBenchmark.p', clause_179) ).
% 0.96/1.25
% 0.96/1.25 cnf(sat_proved, plain, $false,
% 0.96/1.25 inference(cadical, [status(thm)], [
% 0.96/1.25 ]) ).
% 0.96/1.25 % SZS output end Proof for theBenchmark
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