%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SYO630-1 : TPTP v9.3.1. Released v7.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n014.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 09:12:12 AM UTC 2026
% Result : Unsatisfiable 256.22s 256.50s
% Output : Proof 256.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYO630-1 : TPTP v9.3.1. Released v7.1.0.
% 0.00/0.03 This is a CNF_UNS_RFO_NEQ_NHN problem
% 0.00/0.04 % Command : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.36 % Computer : n014.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Sun Sep 20 07:41:49 UTC 2026
% 0.11/0.36 % CPUTime :
% 256.22/256.50 % SZS status Unsatisfiable for theBenchmark
% 256.22/256.50 % SZS output start Proof for theBenchmark
% 256.22/256.50 cnf(clause_8_01, axiom,
% 256.22/256.50 ( E(s(s(s(s(s(0))))), f(A)) | LE(f(A), s(s(s(s(s(0)))))) ),
% 256.22/256.50 file('theBenchmark.p', clause_8_01) ).
% 256.22/256.50
% 256.22/256.50 cnf(clause_13_02, axiom,
% 256.22/256.50 ( iLEQ(A_2, g(A_2)) ),
% 256.22/256.50 file('theBenchmark.p', clause_13_02) ).
% 256.22/256.50
% 256.22/256.50 cnf(clause_14_03, axiom,
% 256.22/256.50 ( iLEQ(A_11, g(A_11)) ),
% 256.22/256.50 file('theBenchmark.p', clause_14_03) ).
% 256.22/256.50
% 256.22/256.50 cnf(clause_18_04, axiom,
% 256.22/256.50 ( iLEQ(A_14, A_14) ),
% 256.22/256.50 file('theBenchmark.p', clause_18_04) ).
% 256.22/256.50
% 256.22/256.50 cnf(clause_31_05, axiom,
% 256.22/256.50 ( ~E(f(A_8), f(g(A_8))) ),
% 256.22/256.50 file('theBenchmark.p', clause_31_05) ).
% 256.22/256.50
% 256.22/256.50 cnf(clause_1_06, axiom,
% 256.22/256.50 ( ~LE(f(A_13), s(0)) | ~iLEQ(A_13, B_8) | E(0, f(B_8)) | LE(f(B_8), 0) ),
% 256.22/256.50 file('theBenchmark.p', clause_1_06) ).
% 256.22/256.50
% 256.22/256.50 cnf(clause_6_07, axiom,
% 256.22/256.50 ( ~LE(f(A_15), 0) ),
% 256.22/256.50 file('theBenchmark.p', clause_6_07) ).
% 256.22/256.50
% 256.22/256.50 cnf(clause_20_08, axiom,
% 256.22/256.50 ( iLEQ(A_8, A_8) ),
% 256.22/256.50 file('theBenchmark.p', clause_20_08) ).
% 256.22/256.50
% 256.22/256.50 cnf(clause_19_09, axiom,
% 256.22/256.50 ( ~E(f(A_15), f(g(A_15))) ),
% 256.22/256.50 file('theBenchmark.p', clause_19_09) ).
% 256.22/256.50
% 256.22/256.50 cnf(clause_3_10, axiom,
% 256.22/256.50 ( ~E(s(s(s(s(s(0))))), f(A_2)) | ~E(s(s(s(s(s(0))))), f(g(A_2))) | E(f(A_2), f(g(A_2))) ),
% 256.22/256.50 file('theBenchmark.p', clause_3_10) ).
% 256.22/256.50
% 256.22/256.50 cnf(clause_21_11, axiom,
% 256.22/256.50 ( ~E(s(s(s(0))), f(A_8)) | ~E(s(s(s(0))), f(g(A_8))) | E(f(A_8), f(g(A_8))) ),
% 256.22/256.50 file('theBenchmark.p', clause_21_11) ).
% 256.22/256.50
% 256.22/256.50 cnf(clause_27_12, axiom,
% 256.22/256.50 ( ~E(s(s(0)), f(A_11)) | ~E(s(s(0)), f(g(A_11))) | E(f(A_11), f(g(A_11))) ),
% 256.22/256.50 file('theBenchmark.p', clause_27_12) ).
% 256.22/256.50
% 256.22/256.50 cnf(clause_30_13, axiom,
% 256.22/256.50 ( ~E(s(0), f(A_14)) | ~E(s(0), f(g(A_14))) | E(f(A_14), f(g(A_14))) ),
% 256.22/256.50 file('theBenchmark.p', clause_30_13) ).
% 256.22/256.50
% 256.22/256.50 cnf(clause_23_14, axiom,
% 256.22/256.50 ( ~LE(f(g(A_15)), 0) ),
% 256.22/256.50 file('theBenchmark.p', clause_23_14) ).
% 256.22/256.50
% 256.22/256.50 cnf(clause_16_15, axiom,
% 256.22/256.50 ( ~LE(f(A_7), s(s(s(0)))) | ~iLEQ(A_7, B_4) | E(s(s(0)), f(B_4)) | LE(f(B_4), s(s(0))) ),
% 256.22/256.50 file('theBenchmark.p', clause_16_15) ).
% 256.22/256.50
% 256.22/256.50 cnf(clause_7_16, axiom,
% 256.22/256.50 ( ~LE(f(A_1), s(s(s(s(s(0)))))) | ~iLEQ(A_1, B_0) | E(s(s(s(s(0)))), f(B_0)) | LE(f(B_0), s(s(s(s(0))))) ),
% 256.22/256.50 file('theBenchmark.p', clause_7_16) ).
% 256.22/256.50
% 256.22/256.50 cnf(clause_26_17, axiom,
% 256.22/256.50 ( ~LE(f(A_4), s(s(s(s(0))))) | ~iLEQ(A_4, B_2) | E(s(s(s(0))), f(B_2)) | LE(f(B_2), s(s(s(0)))) ),
% 256.22/256.50 file('theBenchmark.p', clause_26_17) ).
% 256.22/256.50
% 256.22/256.50 cnf(clause_10_18, axiom,
% 256.22/256.50 ( iLEQ(A_15, g(A_15)) ),
% 256.22/256.50 file('theBenchmark.p', clause_10_18) ).
% 256.22/256.50
% 256.22/256.50 cnf(clause_4_19, axiom,
% 256.22/256.50 ( iLEQ(A_5, g(A_5)) ),
% 256.22/256.50 file('theBenchmark.p', clause_4_19) ).
% 256.22/256.50
% 256.22/256.50 cnf(clause_25_20, axiom,
% 256.22/256.50 ( iLEQ(A_2, A_2) ),
% 256.22/256.50 file('theBenchmark.p', clause_25_20) ).
% 256.22/256.50
% 256.22/256.50 cnf(clause_5_21, axiom,
% 256.22/256.50 ( ~E(f(A_5), f(g(A_5))) ),
% 256.22/256.50 file('theBenchmark.p', clause_5_21) ).
% 256.22/256.50
% 256.22/256.50 cnf(clause_0_22, axiom,
% 256.22/256.50 ( iLEQ(A_14, g(A_14)) ),
% 256.22/256.50 file('theBenchmark.p', clause_0_22) ).
% 256.22/256.50
% 256.22/256.50 cnf(clause_9_23, axiom,
% 256.22/256.50 ( iLEQ(A_5, A_5) ),
% 256.22/256.50 file('theBenchmark.p', clause_9_23) ).
% 256.22/256.50
% 256.22/256.50 cnf(clause_29_24, axiom,
% 256.22/256.50 ( ~E(0, f(A_15)) | ~E(0, f(g(A_15))) | E(f(A_15), f(g(A_15))) ),
% 256.22/256.50 file('theBenchmark.p', clause_29_24) ).
% 256.22/256.50
% 256.22/256.50 cnf(clause_22_25, axiom,
% 256.22/256.50 ( iLEQ(A_8, g(A_8)) ),
% 256.22/256.50 file('theBenchmark.p', clause_22_25) ).
% 256.22/256.50
% 256.22/256.50 cnf(clause_11_26, axiom,
% 256.22/256.50 ( ~E(f(A_2), f(g(A_2))) ),
% 256.22/256.50 file('theBenchmark.p', clause_11_26) ).
% 256.22/256.50
% 256.22/256.50 cnf(clause_15_27, axiom,
% 256.22/256.50 ( iLEQ(A_15, A_15) ),
% 256.22/256.50 file('theBenchmark.p', clause_15_27) ).
% 256.22/256.50
% 256.22/256.50 cnf(clause_28_28, axiom,
% 256.22/256.50 ( ~E(f(A_11), f(g(A_11))) ),
% 256.22/256.50 file('theBenchmark.p', clause_28_28) ).
% 256.22/256.50
% 256.22/256.50 cnf(clause_2_29, axiom,
% 256.22/256.50 ( iLEQ(A_11, A_11) ),
% 256.22/256.50 file('theBenchmark.p', clause_2_29) ).
% 256.22/256.50
% 256.22/256.50 cnf(clause_12_30, axiom,
% 256.22/256.50 ( ~E(s(s(s(s(0)))), f(A_5)) | ~E(s(s(s(s(0)))), f(g(A_5))) | E(f(A_5), f(g(A_5))) ),
% 256.22/256.50 file('theBenchmark.p', clause_12_30) ).
% 256.22/256.50
% 256.22/256.50 cnf(clause_24_31, axiom,
% 256.22/256.50 ( ~E(f(A_14), f(g(A_14))) ),
% 256.22/256.50 file('theBenchmark.p', clause_24_31) ).
% 256.22/256.50
% 256.22/256.50 cnf(clause_17_32, axiom,
% 256.22/256.50 ( ~LE(f(A_10), s(s(0))) | ~iLEQ(A_10, B_6) | E(s(0), f(B_6)) | LE(f(B_6), s(0)) ),
% 256.22/256.50 file('theBenchmark.p', clause_17_32) ).
% 256.22/256.50
% 256.22/256.50 cnf(sat_proved, plain, $false,
% 256.22/256.50 inference(cadical, [status(thm)], [
% 256.22/256.51 ]) ).
% 256.22/256.51 % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------