TSTP Solution File: SYN645-1 by ConnectPP---0.3.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ConnectPP---0.3.0
% Problem  : SYN645-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s

% Computer : n020.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Mon Mar 25 14:43:18 EDT 2024

% Result   : Unsatisfiable 0.77s 1.01s
% Output   : Proof 0.77s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SYN645-1 : TPTP v8.1.2. Released v2.5.0.
% 0.11/0.13  % Command  : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.13/0.33  % Computer : n020.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 300
% 0.13/0.33  % DateTime : Wed Mar 20 22:52:58 EDT 2024
% 0.13/0.34  % CPUTime  : 
% 0.77/1.01  % SZS status Unsatisfiable for theBenchmark
% 0.77/1.01  % SZS output start Proof for theBenchmark
% 0.77/1.01  
% 0.77/1.01  % Problem matrix:
% 0.77/1.01  cnf(matrix-0, plain, ( p12(X0, X0) )).
% 0.77/1.01  cnf(matrix-1, plain, ( p9(X82, X82) )).
% 0.77/1.01  cnf(matrix-2, plain, ( p7(X77, X77) )).
% 0.77/1.01  cnf(matrix-3, plain, ( p6(X70, X70) )).
% 0.77/1.01  cnf(matrix-4, plain, ( p2(X43, X43) )).
% 0.77/1.01  cnf(matrix-5, plain, ( p15(X40, X40) )).
% 0.77/1.01  cnf(matrix-6, plain, ( p22(f3(f4(f5(c26))), c27) )).
% 0.77/1.01  cnf(matrix-7, plain, ( p24(X64) | ~p24(X65) | ~p2(X65, X64) )).
% 0.77/1.01  cnf(matrix-8, plain, ( p23(c28, f8(f10(c29, f11(c27, c30)))) )).
% 0.77/1.01  cnf(matrix-9, plain, ( p7(f8(X80), f8(X81)) | ~p6(X80, X81) )).
% 0.77/1.01  cnf(matrix-10, plain, ( p12(f13(X8), f13(X9)) | ~p12(X8, X9) )).
% 0.77/1.01  cnf(matrix-11, plain, ( p12(f19(X24), f19(X25)) | ~p2(X24, X25) )).
% 0.77/1.01  cnf(matrix-12, plain, ( p2(f3(X50), f3(X51)) | ~p2(X50, X51) )).
% 0.77/1.01  cnf(matrix-13, plain, ( p2(f4(X52), f4(X53)) | ~p2(X52, X53) )).
% 0.77/1.01  cnf(matrix-14, plain, ( p2(f5(X54), f5(X55)) | ~p2(X54, X55) )).
% 0.77/1.01  cnf(matrix-15, plain, ( p12(X1, X2) | ~p12(X0, X1) | ~p12(X0, X2) )).
% 0.77/1.01  cnf(matrix-16, plain, ( p9(X83, X84) | ~p9(X82, X83) | ~p9(X82, X84) )).
% 0.77/1.01  cnf(matrix-17, plain, ( p7(X78, X79) | ~p7(X77, X78) | ~p7(X77, X79) )).
% 0.77/1.01  cnf(matrix-18, plain, ( p6(X71, X72) | ~p6(X70, X71) | ~p6(X70, X72) )).
% 0.77/1.01  cnf(matrix-19, plain, ( p2(X44, X45) | ~p2(X43, X44) | ~p2(X43, X45) )).
% 0.77/1.01  cnf(matrix-20, plain, ( p15(X41, X42) | ~p15(X40, X41) | ~p15(X40, X42) )).
% 0.77/1.01  cnf(matrix-21, plain, ( ~p12(c28, f16(f10(c29, f11(c27, c30)), c32, c31)) )).
% 0.77/1.01  cnf(matrix-22, plain, ( p25(X66, X67) | ~p12(X69, X67) | ~p25(X68, X69) | ~p12(X68, X66) )).
% 0.77/1.01  cnf(matrix-23, plain, ( p22(X56, X57) | ~p2(X59, X57) | ~p22(X58, X59) | ~p2(X58, X56) )).
% 0.77/1.01  cnf(matrix-24, plain, ( p23(X60, X61) | ~p23(X62, X63) | ~p7(X63, X61) | ~p12(X62, X60) )).
% 0.77/1.01  cnf(matrix-25, plain, ( p12(f14(X10, X11), f14(X12, X13)) | ~p12(X10, X12) | ~p12(X11, X13) )).
% 0.77/1.01  cnf(matrix-26, plain, ( p9(f11(X85, X86), f11(X87, X88)) | ~p2(X85, X87) | ~p2(X86, X88) )).
% 0.77/1.01  cnf(matrix-27, plain, ( p6(f10(X73, X74), f10(X75, X76)) | ~p2(X73, X75) | ~p9(X74, X76) )).
% 0.77/1.01  cnf(matrix-28, plain, ( p2(f17(X46, X47), f17(X48, X49)) | ~p12(X47, X49) | ~p6(X46, X48) )).
% 0.77/1.01  cnf(matrix-29, plain, ( p12(f20(X26, X27), f20(X28, X29)) | ~p12(X27, X29) | ~p6(X26, X28) )).
% 0.77/1.01  cnf(matrix-30, plain, ( p12(f18(X20, X21), f18(X22, X23)) | ~p12(X20, X22) | ~p12(X21, X23) )).
% 0.77/1.01  cnf(matrix-31, plain, ( ~p24(f17(f10(c29, f11(c27, c30)), f16(f10(c29, f11(c27, c30)), c32, c31))) )).
% 0.77/1.01  cnf(matrix-32, plain, ( p12(f13(f14(c31, c28)), f13(f14(c31, f16(f10(c29, f11(c27, c30)), c32, c31)))) )).
% 0.77/1.01  cnf(matrix-33, plain, ( p12(f16(X14, X15, X16), f16(X17, X18, X19)) | ~p15(X15, X18) | ~p6(X14, X17) | ~p12(X16, X19) )).
% 0.77/1.01  cnf(matrix-34, plain, ( p23(f16(f10(X4, f11(X5, X6)), c32, X7), f8(f10(X4, f11(X5, X6)))) | ~p22(f3(f4(f5(c26))), X5) )).
% 0.77/1.01  cnf(matrix-35, plain, ( p12(f21(X30, X31, X32, X33, X34), f21(X35, X36, X37, X38, X39)) | ~p2(X31, X36) | ~p2(X32, X37) | ~p12(X33, X38) | ~p12(X34, X39) | ~p2(X30, X35) )).
% 0.77/1.01  cnf(matrix-36, plain, ( p25(f13(f14(X7, f16(f10(X4, f11(X5, X6)), c32, X7))), f13(f14(X7, X3))) | ~p22(f3(f4(f5(c26))), X5) | ~p23(X3, f8(f10(X4, f11(X5, X6)))) )).
% 0.77/1.01  cnf(matrix-37, plain, ( p25(f13(f14(X7, f16(f10(X4, f11(X5, X6)), c32, X7))), f18(f20(f10(X4, f11(X5, X6)), X7), f19(f3(f4(f5(c26)))))) | ~p22(f3(f4(f5(c26))), X5) )).
% 0.77/1.01  cnf(matrix-38, plain, ( p12(X3, f16(f10(X4, f11(X5, X6)), c32, X7)) | p23(f21(X4, X5, X6, X7, X3), f8(f10(X4, f11(X5, X6)))) | ~p22(f3(f4(f5(c26))), X5) | ~p24(f17(f10(X4, f11(X5, X6)), X3)) | ~p23(X3, f8(f10(X4, f11(X5, X6)))) )).
% 0.77/1.01  cnf(matrix-39, plain, ( p12(X3, f16(f10(X4, f11(X5, X6)), c32, X7)) | ~p22(f3(f4(f5(c26))), X5) | ~p24(f17(f10(X4, f11(X5, X6)), X3)) | ~p23(X3, f8(f10(X4, f11(X5, X6)))) | ~p25(f13(f14(X7, X3)), f13(f14(X7, f21(X4, X5, X6, X7, X3)))) )).
% 0.77/1.01  cnf(matrix-40, plain, ( p12(X3, f16(f10(X4, f11(X5, X6)), c32, X7)) | p23(f21(X4, X5, X6, X7, X3), f8(f10(X4, f11(X5, X6)))) | p24(f17(f10(X4, f11(X5, X6)), f16(f10(X4, f11(X5, X6)), c32, X7))) | ~p22(f3(f4(f5(c26))), X5) | ~p23(X3, f8(f10(X4, f11(X5, X6)))) )).
% 0.77/1.01  cnf(matrix-41, plain, ( p12(X3, f16(f10(X4, f11(X5, X6)), c32, X7)) | p24(f17(f10(X4, f11(X5, X6)), f16(f10(X4, f11(X5, X6)), c32, X7))) | ~p22(f3(f4(f5(c26))), X5) | ~p23(X3, f8(f10(X4, f11(X5, X6)))) | ~p25(f13(f14(X7, X3)), f13(f14(X7, f21(X4, X5, X6, X7, X3)))) )).
% 0.77/1.01  
% 0.77/1.01  % Proof stack:
% 0.77/1.01  cnf(proof-stack, plain, 
% 0.77/1.01  proof_stack(
% 0.77/1.01  start(21), 
% 0.77/1.01  left_branch(0, 40, 0, 2), 
% 0.77/1.01  left_branch(0, 8, 0, 3), 
% 0.77/1.01  right_branch(3), 
% 0.77/1.01  left_branch(0, 23, 0, 4), 
% 0.77/1.01  left_branch(0, 19, 0, 5), 
% 0.77/1.01  left_branch(0, 19, 0, 6), 
% 0.77/1.01  left_branch(0, 4, 0, 7), 
% 0.77/1.01  right_branch(7), 
% 0.77/1.01  left_branch(0, 4, 0, 8), 
% 0.77/1.01  right_branch(8), 
% 0.77/1.01  right_branch(6), 
% 0.77/1.01  left_branch(0, 12, 0, 7), 
% 0.77/1.01  left_branch(0, 4, 0, 8), 
% 0.77/1.01  right_branch(8), 
% 0.77/1.01  right_branch(7), 
% 0.77/1.01  right_branch(5), 
% 0.77/1.01  left_branch(0, 23, 0, 6), 
% 0.77/1.01  left_branch(0, 19, 0, 7), 
% 0.77/1.01  left_branch(0, 4, 0, 8), 
% 0.77/1.01  right_branch(8), 
% 0.77/1.01  left_branch(0, 4, 0, 9), 
% 0.77/1.01  right_branch(9), 
% 0.77/1.01  right_branch(7), 
% 0.77/1.01  left_branch(0, 23, 0, 8), 
% 0.77/1.01  left_branch(0, 4, 0, 9), 
% 0.77/1.01  right_branch(9), 
% 0.77/1.01  left_branch(0, 6, 0, 10), 
% 0.77/1.01  right_branch(10), 
% 0.77/1.01  left_branch(0, 4, 0, 11), 
% 0.77/1.01  right_branch(11), 
% 0.77/1.01  right_branch(8), 
% 0.77/1.01  left_branch(0, 19, 0, 9), 
% 0.77/1.01  left_branch(0, 4, 0, 10), 
% 0.77/1.01  right_branch(10), 
% 0.77/1.01  left_branch(0, 4, 0, 11), 
% 0.77/1.01  right_branch(11), 
% 0.77/1.01  right_branch(9), 
% 0.77/1.01  right_branch(6), 
% 0.77/1.01  left_branch(0, 4, 0, 7), 
% 0.77/1.01  right_branch(7), 
% 0.77/1.01  right_branch(4), 
% 0.77/1.01  left_branch(0, 39, 2, 5), 
% 0.77/1.01  left_branch(0, 28, 1, 6), 
% 0.77/1.01  left_branch(0, 7, 2, 7), 
% 0.77/1.01  left_branch(0, 31, 0, 8), 
% 0.77/1.01  right_branch(8), 
% 0.77/1.01  reduction(0, 1), 
% 0.77/1.01  right_branch(7), 
% 0.77/1.01  left_branch(0, 27, 0, 8), 
% 0.77/1.01  left_branch(0, 1, 0, 9), 
% 0.77/1.01  right_branch(9), 
% 0.77/1.01  left_branch(0, 4, 0, 10), 
% 0.77/1.01  right_branch(10), 
% 0.77/1.01  right_branch(8), 
% 0.77/1.01  right_branch(6), 
% 0.77/1.01  left_branch(0, 34, 0, 7), 
% 0.77/1.01  lemmata(0, 1), 
% 0.77/1.01  right_branch(7), 
% 0.77/1.01  left_branch(0, 36, 0, 8), 
% 0.77/1.01  left_branch(0, 38, 1, 9), 
% 0.77/1.01  lemmata(0, 2), 
% 0.77/1.01  reduction(0, 1), 
% 0.77/1.01  lemmata(0, 1), 
% 0.77/1.01  lemmata(0, 3), 
% 0.77/1.01  right_branch(9), 
% 0.77/1.01  lemmata(0, 1), 
% 0.77/1.01  right_branch(8), 
% 0.77/1.01  lemmata(0, 1), 
% 0.77/1.01  right_branch(5), 
% 0.77/1.01  left_branch(0, 36, 2, 6), 
% 0.77/1.01  left_branch(0, 22, 2, 7), 
% 0.77/1.01  left_branch(0, 41, 4, 8), 
% 0.77/1.01  reduction(0, 0), 
% 0.77/1.01  lemmata(0, 0), 
% 0.77/1.01  lemmata(0, 1), 
% 0.77/1.01  lemmata(0, 2), 
% 0.77/1.01  right_branch(8), 
% 0.77/1.01  left_branch(0, 15, 0, 9), 
% 0.77/1.01  left_branch(0, 0, 0, 10), 
% 0.77/1.01  right_branch(10), 
% 0.77/1.01  left_branch(0, 32, 0, 11), 
% 0.77/1.01  right_branch(11), 
% 0.77/1.01  right_branch(9), 
% 0.77/1.01  left_branch(0, 10, 0, 10), 
% 0.77/1.01  left_branch(0, 0, 0, 11), 
% 0.77/1.01  right_branch(11), 
% 0.77/1.01  right_branch(10), 
% 0.77/1.01  right_branch(7), 
% 0.77/1.01  lemmata(0, 1), 
% 0.77/1.01  right_branch(6), 
% 0.77/1.01  right_branch(2)
% 0.77/1.01  )).
% 0.77/1.01  % SZS output end Proof for theBenchmark
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