%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SYO661-1 : 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 13.37s 13.67s
% Output : Proof 13.37s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYO661-1 : 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
% 0.08/0.35 % Computer : n015.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sun Sep 20 07:50:34 UTC 2026
% 0.08/0.35 % CPUTime :
% 13.37/13.67 % SZS status Unsatisfiable for theBenchmark
% 13.37/13.67 % SZS output start Proof for theBenchmark
% 13.37/13.67 cnf(clause_93, axiom,
% 13.37/13.67 ( ~LE(f(z), 0) ),
% 13.37/13.67 file('theBenchmark.p', clause_93) ).
% 13.37/13.67
% 13.37/13.67 cnf(clause_147, axiom,
% 13.37/13.67 ( ~E(s(0), f(suc(B_11))) | ~E(s(0), f(B_12)) | ~E(s(0), f(A_1)) | ~E(s(0), f(suc(B_12))) | ~E(s(0), f(suc(A_1))) | ~E(s(0), f(suc(suc(B_12)))) | ~E(f(B_12), f(suc(B_12))) | ~E(s(0), f(B_11)) | ~iLEQ(suc(A_1), suc(B_11)) | ~iLEQ(suc(B_11), suc(B_12)) | E(f(A_1), f(suc(A_1))) | E(f(B_11), f(suc(B_11))) ),
% 13.37/13.67 file('theBenchmark.p', clause_147) ).
% 13.37/13.67
% 13.37/13.67 cnf(clause_51, axiom,
% 13.37/13.67 ( ~LE(f(suc(suc(B_17))), s(0)) | E(0, f(suc(suc(B_17)))) | LE(f(B_17), 0) ),
% 13.37/13.67 file('theBenchmark.p', clause_51) ).
% 13.37/13.67
% 13.37/13.67 cnf(clause_106, axiom,
% 13.37/13.67 ( ~E(s(0), f(suc(B_11))) | ~E(s(0), f(B_12)) | ~E(s(0), f(A_1)) | ~E(s(0), f(suc(B_12))) | ~E(s(0), f(suc(A_1))) | ~E(s(0), f(B_11)) | ~iLEQ(suc(A_1), suc(B_11)) | ~iLEQ(suc(B_11), suc(B_12)) | E(f(A_1), f(suc(A_1))) | E(f(B_11), f(suc(B_11))) | E(f(B_12), f(suc(B_12))) ),
% 13.37/13.67 file('theBenchmark.p', clause_106) ).
% 13.37/13.67
% 13.37/13.67 cnf(clause_8, axiom,
% 13.37/13.67 ( ~E(s(0), f(suc(B_11))) | ~E(s(0), f(B_12)) | ~E(s(0), f(suc(suc(A_1)))) | ~E(s(0), f(A_1)) | ~E(s(0), f(suc(B_12))) | ~E(s(0), f(suc(A_1))) | ~E(s(0), f(suc(suc(B_12)))) | ~E(f(B_12), f(suc(B_12))) | ~E(f(A_1), f(suc(A_1))) | ~E(s(0), f(suc(suc(B_11)))) | ~E(s(0), f(B_11)) | ~E(f(B_11), f(suc(B_11))) | ~iLEQ(suc(A_1), suc(B_11)) | ~iLEQ(suc(B_11), suc(B_12)) ),
% 13.37/13.67 file('theBenchmark.p', clause_8) ).
% 13.37/13.67
% 13.37/13.67 cnf(clause_72, axiom,
% 13.37/13.67 ( LE(f(A), s(s(0))) ),
% 13.37/13.67 file('theBenchmark.p', clause_72) ).
% 13.37/13.67
% 13.37/13.67 cnf(clause_119, axiom,
% 13.37/13.67 ( ~LE(f(suc(B_10)), s(s(0))) | E(s(0), f(suc(B_10))) | LE(f(B_10), s(0)) ),
% 13.37/13.67 file('theBenchmark.p', clause_119) ).
% 13.37/13.67
% 13.37/13.67 cnf(clause_57, axiom,
% 13.37/13.67 ( ~LE(f(suc(B_17)), s(0)) | E(0, f(suc(B_17))) | LE(f(B_17), 0) ),
% 13.37/13.67 file('theBenchmark.p', clause_57) ).
% 13.37/13.67
% 13.37/13.67 cnf(clause_0, axiom,
% 13.37/13.67 ( ~LE(f(B_17), s(0)) | E(0, f(B_17)) | LE(f(B_17), 0) ),
% 13.37/13.67 file('theBenchmark.p', clause_0) ).
% 13.37/13.67
% 13.37/13.67 cnf(clause_85, axiom,
% 13.37/13.67 ( ~E(s(0), f(A_1)) | ~E(s(0), f(suc(A_1))) | E(f(A_1), f(suc(A_1))) | iLEQ(suc(A_1), suc(A_1)) ),
% 13.37/13.67 file('theBenchmark.p', clause_85) ).
% 13.37/13.67
% 13.37/13.67 cnf(clause_131, axiom,
% 13.37/13.67 ( ~E(s(0), f(suc(B_11))) | ~E(s(0), f(B_12)) | ~E(s(0), f(suc(suc(A_1)))) | ~E(s(0), f(A_1)) | ~E(s(0), f(suc(B_12))) | ~E(s(0), f(suc(A_1))) | ~E(f(A_1), f(suc(A_1))) | ~E(s(0), f(suc(suc(B_11)))) | ~E(s(0), f(B_11)) | ~E(f(B_11), f(suc(B_11))) | ~iLEQ(suc(A_1), suc(B_11)) | ~iLEQ(suc(B_11), suc(B_12)) | E(f(B_12), f(suc(B_12))) ),
% 13.37/13.67 file('theBenchmark.p', clause_131) ).
% 13.37/13.67
% 13.37/13.67 cnf(clause_180, axiom,
% 13.37/13.67 ( ~E(s(0), f(suc(B_11))) | ~E(s(0), f(B_12)) | ~E(s(0), f(A_1)) | ~E(s(0), f(suc(B_12))) | ~E(s(0), f(suc(A_1))) | ~E(s(0), f(suc(suc(B_11)))) | ~E(s(0), f(B_11)) | ~E(f(B_11), f(suc(B_11))) | ~iLEQ(suc(A_1), suc(B_11)) | ~iLEQ(suc(B_11), suc(B_12)) | E(f(A_1), f(suc(A_1))) | E(f(B_12), f(suc(B_12))) ),
% 13.37/13.67 file('theBenchmark.p', clause_180) ).
% 13.37/13.67
% 13.37/13.67 cnf(clause_18, axiom,
% 13.37/13.67 ( ~E(0, f(suc(A_2))) | ~E(0, f(suc(suc(A_2)))) | ~E(0, f(suc(B_19))) | ~iLEQ(suc(B_18), suc(B_19)) | ~E(0, f(A_2)) | ~E(0, f(B_19)) | ~E(0, f(suc(suc(B_19)))) | ~E(0, f(B_18)) | ~E(0, f(suc(B_18))) | ~E(f(B_19), f(suc(B_19))) | ~iLEQ(suc(A_2), suc(B_18)) | ~E(f(A_2), f(suc(A_2))) | E(f(B_18), f(suc(B_18))) ),
% 13.37/13.67 file('theBenchmark.p', clause_18) ).
% 13.37/13.67
% 13.37/13.67 cnf(clause_213, axiom,
% 13.37/13.67 ( ~E(s(0), f(suc(B_11))) | ~E(s(0), f(B_12)) | ~E(s(0), f(suc(suc(A_1)))) | ~E(s(0), f(A_1)) | ~E(s(0), f(suc(B_12))) | ~E(s(0), f(suc(A_1))) | ~E(f(A_1), f(suc(A_1))) | ~E(s(0), f(B_11)) | ~iLEQ(suc(A_1), suc(B_11)) | ~iLEQ(suc(B_11), suc(B_12)) | E(f(B_11), f(suc(B_11))) | E(f(B_12), f(suc(B_12))) ),
% 13.37/13.67 file('theBenchmark.p', clause_213) ).
% 13.37/13.67
% 13.37/13.67 cnf(clause_109, axiom,
% 13.37/13.67 ( ~E(0, f(A_2)) | ~E(0, f(suc(A_2))) | E(f(A_2), f(suc(A_2))) | iLEQ(suc(A_2), suc(A_2)) ),
% 13.37/13.67 file('theBenchmark.p', clause_109) ).
% 13.37/13.67
% 13.37/13.67 cnf(clause_135, axiom,
% 13.37/13.67 ( ~E(s(0), f(suc(B_11))) | ~E(s(0), f(B_12)) | ~E(s(0), f(A_1)) | ~E(s(0), f(suc(B_12))) | ~E(s(0), f(suc(A_1))) | ~E(s(0), f(suc(suc(B_12)))) | ~E(f(B_12), f(suc(B_12))) | ~E(s(0), f(suc(suc(B_11)))) | ~E(s(0), f(B_11)) | ~E(f(B_11), f(suc(B_11))) | ~iLEQ(suc(A_1), suc(B_11)) | ~iLEQ(suc(B_11), suc(B_12)) | E(f(A_1), f(suc(A_1))) ),
% 13.37/13.67 file('theBenchmark.p', clause_135) ).
% 13.37/13.67
% 13.37/13.67 cnf(clause_86, axiom,
% 13.37/13.67 ( ~E(0, f(suc(suc(B_18)))) | ~E(0, f(suc(A_2))) | ~E(0, f(suc(suc(A_2)))) | ~E(0, f(suc(B_19))) | ~iLEQ(suc(B_18), suc(B_19)) | ~E(0, f(A_2)) | ~E(0, f(B_19)) | ~E(f(B_18), f(suc(B_18))) | ~E(0, f(B_18)) | ~E(0, f(suc(B_18))) | ~iLEQ(suc(A_2), suc(B_18)) | ~E(f(A_2), f(suc(A_2))) | E(f(B_19), f(suc(B_19))) ),
% 13.37/13.67 file('theBenchmark.p', clause_86) ).
% 13.37/13.67
% 13.37/13.67 cnf(clause_204, axiom,
% 13.37/13.67 ( ~E(0, f(suc(suc(B_18)))) | ~E(0, f(suc(A_2))) | ~E(0, f(suc(suc(A_2)))) | ~E(0, f(suc(B_19))) | ~iLEQ(suc(B_18), suc(B_19)) | ~E(0, f(A_2)) | ~E(0, f(B_19)) | ~E(0, f(suc(suc(B_19)))) | ~E(f(B_18), f(suc(B_18))) | ~E(0, f(B_18)) | ~E(0, f(suc(B_18))) | ~E(f(B_19), f(suc(B_19))) | ~iLEQ(suc(A_2), suc(B_18)) | ~E(f(A_2), f(suc(A_2))) ),
% 13.37/13.67 file('theBenchmark.p', clause_204) ).
% 13.37/13.67
% 13.37/13.67 cnf(clause_125, axiom,
% 13.37/13.67 ( ~E(0, f(suc(A_2))) | ~E(0, f(suc(suc(A_2)))) | ~E(0, f(suc(B_19))) | ~iLEQ(suc(B_18), suc(B_19)) | ~E(0, f(A_2)) | ~E(0, f(B_19)) | ~E(0, f(B_18)) | ~E(0, f(suc(B_18))) | ~iLEQ(suc(A_2), suc(B_18)) | ~E(f(A_2), f(suc(A_2))) | E(f(B_18), f(suc(B_18))) | E(f(B_19), f(suc(B_19))) ),
% 13.37/13.67 file('theBenchmark.p', clause_125) ).
% 13.37/13.67
% 13.37/13.67 cnf(clause_20, axiom,
% 13.37/13.67 ( ~E(0, f(suc(A_2))) | ~E(0, f(suc(B_19))) | ~iLEQ(suc(B_18), suc(B_19)) | ~E(0, f(A_2)) | ~E(0, f(B_19)) | ~E(0, f(B_18)) | ~E(0, f(suc(B_18))) | ~iLEQ(suc(A_2), suc(B_18)) | E(f(A_2), f(suc(A_2))) | E(f(B_18), f(suc(B_18))) | E(f(B_19), f(suc(B_19))) ),
% 13.37/13.67 file('theBenchmark.p', clause_20) ).
% 13.37/13.67
% 13.37/13.67 cnf(clause_35, axiom,
% 13.37/13.67 ( ~E(0, f(suc(suc(B_18)))) | ~E(0, f(suc(A_2))) | ~E(0, f(suc(B_19))) | ~iLEQ(suc(B_18), suc(B_19)) | ~E(0, f(A_2)) | ~E(0, f(B_19)) | ~E(0, f(suc(suc(B_19)))) | ~E(f(B_18), f(suc(B_18))) | ~E(0, f(B_18)) | ~E(0, f(suc(B_18))) | ~E(f(B_19), f(suc(B_19))) | ~iLEQ(suc(A_2), suc(B_18)) | E(f(A_2), f(suc(A_2))) ),
% 13.37/13.67 file('theBenchmark.p', clause_35) ).
% 13.37/13.67
% 13.37/13.67 cnf(clause_148, axiom,
% 13.37/13.67 ( ~E(0, f(suc(suc(A_2)))) | ~E(0, f(suc(A_2))) | ~E(f(A_2), f(suc(A_2))) | ~E(0, f(A_2)) | iLEQ(suc(A_2), suc(A_2)) ),
% 13.37/13.67 file('theBenchmark.p', clause_148) ).
% 13.37/13.67
% 13.37/13.67 cnf(clause_33, axiom,
% 13.37/13.67 ( ~LE(f(suc(suc(B_10))), s(s(0))) | E(s(0), f(suc(suc(B_10)))) | LE(f(B_10), s(0)) ),
% 13.37/13.67 file('theBenchmark.p', clause_33) ).
% 13.37/13.67
% 13.37/13.67 cnf(clause_133, axiom,
% 13.37/13.67 ( ~E(0, f(suc(A_2))) | ~E(0, f(suc(B_19))) | ~iLEQ(suc(B_18), suc(B_19)) | ~E(0, f(A_2)) | ~E(0, f(B_19)) | ~E(0, f(suc(suc(B_19)))) | ~E(0, f(B_18)) | ~E(0, f(suc(B_18))) | ~E(f(B_19), f(suc(B_19))) | ~iLEQ(suc(A_2), suc(B_18)) | E(f(A_2), f(suc(A_2))) | E(f(B_18), f(suc(B_18))) ),
% 13.37/13.67 file('theBenchmark.p', clause_133) ).
% 13.37/13.67
% 13.37/13.67 cnf(clause_118, axiom,
% 13.37/13.67 ( ~LE(f(B_10), s(s(0))) | E(s(0), f(B_10)) | LE(f(B_10), s(0)) ),
% 13.37/13.67 file('theBenchmark.p', clause_118) ).
% 13.37/13.67
% 13.37/13.67 cnf(clause_161, axiom,
% 13.37/13.67 ( ~E(0, f(suc(suc(B_18)))) | ~E(0, f(suc(A_2))) | ~E(0, f(suc(B_19))) | ~iLEQ(suc(B_18), suc(B_19)) | ~E(0, f(A_2)) | ~E(0, f(B_19)) | ~E(f(B_18), f(suc(B_18))) | ~E(0, f(B_18)) | ~E(0, f(suc(B_18))) | ~iLEQ(suc(A_2), suc(B_18)) | E(f(A_2), f(suc(A_2))) | E(f(B_19), f(suc(B_19))) ),
% 13.37/13.67 file('theBenchmark.p', clause_161) ).
% 13.37/13.67
% 13.37/13.67 cnf(clause_139, axiom,
% 13.37/13.67 ( ~E(s(0), f(suc(B_11))) | ~E(s(0), f(B_12)) | ~E(s(0), f(suc(suc(A_1)))) | ~E(s(0), f(A_1)) | ~E(s(0), f(suc(B_12))) | ~E(s(0), f(suc(A_1))) | ~E(s(0), f(suc(suc(B_12)))) | ~E(f(B_12), f(suc(B_12))) | ~E(f(A_1), f(suc(A_1))) | ~E(s(0), f(B_11)) | ~iLEQ(suc(A_1), suc(B_11)) | ~iLEQ(suc(B_11), suc(B_12)) | E(f(B_11), f(suc(B_11))) ),
% 13.37/13.67 file('theBenchmark.p', clause_139) ).
% 13.37/13.67
% 13.37/13.67 cnf(clause_25, axiom,
% 13.37/13.67 ( ~E(s(0), f(suc(suc(A_1)))) | ~E(s(0), f(suc(A_1))) | ~E(f(A_1), f(suc(A_1))) | ~E(s(0), f(A_1)) | iLEQ(suc(A_1), suc(A_1)) ),
% 13.37/13.67 file('theBenchmark.p', clause_25) ).
% 13.37/13.67
% 13.37/13.67 cnf(sat_proved, plain, $false,
% 13.37/13.67 inference(cadical, [status(thm)], [
% 13.37/13.68 ]) ).
% 13.37/13.68 % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------