TSTP Solution File: SYN650-1 by ConnectPP---0.3.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ConnectPP---0.3.0
% Problem  : SYN650-1 : 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 : n019.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 14:43:19 EDT 2024

% Result   : Unsatisfiable 5.64s 5.79s
% Output   : Proof 5.64s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SYN650-1 : TPTP v8.1.2. Released v2.5.0.
% 0.06/0.13  % Command  : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.13/0.33  % Computer : n019.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 23:08:33 EDT 2024
% 0.13/0.34  % CPUTime  : 
% 5.64/5.79  % SZS status Unsatisfiable for theBenchmark
% 5.64/5.79  % SZS output start Proof for theBenchmark
% 5.64/5.79  
% 5.64/5.79  % Problem matrix:
% 5.64/5.79  cnf(matrix-0, plain, ( p10(X0, X0) )).
% 5.64/5.79  cnf(matrix-1, plain, ( p8(X54, X54) )).
% 5.64/5.79  cnf(matrix-2, plain, ( p7(X51, X51) )).
% 5.64/5.79  cnf(matrix-3, plain, ( p6(X44, X44) )).
% 5.64/5.79  cnf(matrix-4, plain, ( p2(X12, X12) )).
% 5.64/5.79  cnf(matrix-5, plain, ( p19(X7, X7) )).
% 5.64/5.79  cnf(matrix-6, plain, ( ~p2(c27, f3(c26)) )).
% 5.64/5.79  cnf(matrix-7, plain, ( p22(f3(f4(f5(c26))), c27) )).
% 5.64/5.79  cnf(matrix-8, plain, ( p23(X29) | ~p23(X30) | ~p2(X30, X29) )).
% 5.64/5.79  cnf(matrix-9, plain, ( p24(c33, f20(f11(c29, f12(c27, c30)))) )).
% 5.64/5.79  cnf(matrix-10, plain, ( p19(f20(X10), f20(X11)) | ~p6(X10, X11) )).
% 5.64/5.79  cnf(matrix-11, plain, ( p8(f16(X67), f16(X68)) | ~p8(X67, X68) )).
% 5.64/5.79  cnf(matrix-12, plain, ( p8(f14(X61), f14(X62)) | ~p2(X61, X62) )).
% 5.64/5.79  cnf(matrix-13, plain, ( p2(f5(X23), f5(X24)) | ~p2(X23, X24) )).
% 5.64/5.79  cnf(matrix-14, plain, ( p2(f4(X21), f4(X22)) | ~p2(X21, X22) )).
% 5.64/5.79  cnf(matrix-15, plain, ( p2(f3(X19), f3(X20)) | ~p2(X19, X20) )).
% 5.64/5.79  cnf(matrix-16, plain, ( p10(X1, X2) | ~p10(X0, X1) | ~p10(X0, X2) )).
% 5.64/5.79  cnf(matrix-17, plain, ( p8(X55, X56) | ~p8(X54, X55) | ~p8(X54, X56) )).
% 5.64/5.79  cnf(matrix-18, plain, ( p7(X52, X53) | ~p7(X51, X52) | ~p7(X51, X53) )).
% 5.64/5.79  cnf(matrix-19, plain, ( p6(X45, X46) | ~p6(X44, X45) | ~p6(X44, X46) )).
% 5.64/5.79  cnf(matrix-20, plain, ( p2(X13, X14) | ~p2(X12, X13) | ~p2(X12, X14) )).
% 5.64/5.79  cnf(matrix-21, plain, ( p19(X8, X9) | ~p19(X7, X8) | ~p19(X7, X9) )).
% 5.64/5.79  cnf(matrix-22, plain, ( p8(c28, f9(f11(c29, f12(c27, c30)), c31, c32)) )).
% 5.64/5.79  cnf(matrix-23, plain, ( ~p8(c33, f9(f11(c29, f12(c27, c30)), c31, c32)) )).
% 5.64/5.79  cnf(matrix-24, plain, ( p25(X40, X41) | ~p8(X42, X40) | ~p8(X43, X41) | ~p25(X42, X43) )).
% 5.64/5.79  cnf(matrix-25, plain, ( p22(X25, X26) | ~p2(X28, X26) | ~p22(X27, X28) | ~p2(X27, X25) )).
% 5.64/5.79  cnf(matrix-26, plain, ( p24(X36, X37) | ~p24(X39, X38) | ~p8(X39, X36) | ~p19(X38, X37) )).
% 5.64/5.79  cnf(matrix-27, plain, ( p10(f12(X3, X4), f12(X5, X6)) | ~p2(X3, X5) | ~p2(X4, X6) )).
% 5.64/5.79  cnf(matrix-28, plain, ( p8(f17(X69, X70), f17(X71, X72)) | ~p8(X69, X71) | ~p8(X70, X72) )).
% 5.64/5.79  cnf(matrix-29, plain, ( p8(f15(X63, X64), f15(X65, X66)) | ~p6(X63, X65) | ~p8(X64, X66) )).
% 5.64/5.79  cnf(matrix-30, plain, ( p8(f13(X57, X58), f13(X59, X60)) | ~p8(X57, X59) | ~p8(X58, X60) )).
% 5.64/5.79  cnf(matrix-31, plain, ( p6(f11(X47, X48), f11(X49, X50)) | ~p10(X48, X50) | ~p2(X47, X49) )).
% 5.64/5.79  cnf(matrix-32, plain, ( p2(f18(X15, X16), f18(X17, X18)) | ~p6(X15, X17) | ~p8(X16, X18) )).
% 5.64/5.79  cnf(matrix-33, plain, ( ~p23(f18(f11(c29, f12(c27, c30)), f9(f11(c29, f12(c27, c30)), c31, c32))) )).
% 5.64/5.79  cnf(matrix-34, plain, ( p8(f16(f17(c32, c33)), f13(f15(f11(c29, f12(c27, c30)), c32), f14(f3(f4(f5(c26)))))) )).
% 5.64/5.79  cnf(matrix-35, plain, ( p8(f9(X83, X84, X85), f9(X86, X87, X88)) | ~p7(X84, X87) | ~p8(X85, X88) | ~p6(X83, X86) )).
% 5.64/5.79  cnf(matrix-36, plain, ( p24(f9(f11(X31, f12(X32, X33)), c31, X34), f20(f11(X31, f12(X32, X33)))) | ~p22(f3(f4(f5(c26))), X32) )).
% 5.64/5.79  cnf(matrix-37, plain, ( p8(f16(f17(c32, f9(f11(c29, f12(c27, c30)), c31, c32))), f13(f15(f11(c29, f12(c27, c30)), c32), f14(f3(f4(f5(c26)))))) )).
% 5.64/5.79  cnf(matrix-38, plain, ( p8(f21(X73, X74, X75, X76, X77), f21(X78, X79, X80, X81, X82)) | ~p8(X76, X81) | ~p8(X77, X82) | ~p2(X73, X78) | ~p2(X74, X79) | ~p2(X75, X80) )).
% 5.64/5.79  cnf(matrix-39, plain, ( p25(f16(f17(X34, f9(f11(X31, f12(X32, X33)), c31, X34))), f16(f17(X34, X35))) | ~p22(f3(f4(f5(c26))), X32) | ~p24(X35, f20(f11(X31, f12(X32, X33)))) )).
% 5.64/5.79  cnf(matrix-40, plain, ( p25(f16(f17(X34, f9(f11(X31, f12(X32, X33)), c31, X34))), f13(f15(f11(X31, f12(X32, X33)), X34), f14(f3(f4(f5(c26)))))) | ~p22(f3(f4(f5(c26))), X32) )).
% 5.64/5.79  cnf(matrix-41, plain, ( p8(X35, f9(f11(X31, f12(X32, X33)), c31, X34)) | p24(f21(X31, X32, X33, X34, X35), f20(f11(X31, f12(X32, X33)))) | ~p22(f3(f4(f5(c26))), X32) | ~p23(f18(f11(X31, f12(X32, X33)), X35)) | ~p24(X35, f20(f11(X31, f12(X32, X33)))) )).
% 5.64/5.79  cnf(matrix-42, plain, ( p8(X35, f9(f11(X31, f12(X32, X33)), c31, X34)) | ~p22(f3(f4(f5(c26))), X32) | ~p23(f18(f11(X31, f12(X32, X33)), X35)) | ~p24(X35, f20(f11(X31, f12(X32, X33)))) | ~p25(f16(f17(X34, X35)), f16(f17(X34, f21(X31, X32, X33, X34, X35)))) )).
% 5.64/5.79  cnf(matrix-43, plain, ( p8(X35, f9(f11(X31, f12(X32, X33)), c31, X34)) | p24(f21(X31, X32, X33, X34, X35), f20(f11(X31, f12(X32, X33)))) | p23(f18(f11(X31, f12(X32, X33)), f9(f11(X31, f12(X32, X33)), c31, X34))) | ~p22(f3(f4(f5(c26))), X32) | ~p24(X35, f20(f11(X31, f12(X32, X33)))) )).
% 5.64/5.79  cnf(matrix-44, plain, ( p8(X35, f9(f11(X31, f12(X32, X33)), c31, X34)) | p23(f18(f11(X31, f12(X32, X33)), f9(f11(X31, f12(X32, X33)), c31, X34))) | ~p22(f3(f4(f5(c26))), X32) | ~p24(X35, f20(f11(X31, f12(X32, X33)))) | ~p25(f16(f17(X34, X35)), f16(f17(X34, f21(X31, X32, X33, X34, X35)))) )).
% 5.64/5.79  
% 5.64/5.79  % Proof stack:
% 5.64/5.79  cnf(proof-stack, plain, 
% 5.64/5.79  proof_stack(
% 5.64/5.79  start(23), 
% 5.64/5.79  left_branch(0, 43, 0, 2), 
% 5.64/5.79  left_branch(0, 9, 0, 3), 
% 5.64/5.79  right_branch(3), 
% 5.64/5.79  left_branch(0, 25, 0, 4), 
% 5.64/5.79  left_branch(0, 20, 0, 5), 
% 5.64/5.79  left_branch(0, 20, 0, 6), 
% 5.64/5.79  left_branch(0, 20, 0, 7), 
% 5.64/5.79  left_branch(0, 4, 0, 8), 
% 5.64/5.79  right_branch(8), 
% 5.64/5.79  left_branch(0, 4, 0, 9), 
% 5.64/5.79  right_branch(9), 
% 5.64/5.79  right_branch(7), 
% 5.64/5.79  left_branch(0, 15, 0, 8), 
% 5.64/5.79  left_branch(0, 4, 0, 9), 
% 5.64/5.79  right_branch(9), 
% 5.64/5.79  right_branch(8), 
% 5.64/5.79  right_branch(6), 
% 5.64/5.79  left_branch(0, 15, 0, 7), 
% 5.64/5.79  left_branch(0, 20, 0, 8), 
% 5.64/5.79  left_branch(0, 4, 0, 9), 
% 5.64/5.79  right_branch(9), 
% 5.64/5.79  left_branch(0, 4, 0, 10), 
% 5.64/5.79  right_branch(10), 
% 5.64/5.79  right_branch(8), 
% 5.64/5.79  right_branch(7), 
% 5.64/5.79  right_branch(5), 
% 5.64/5.79  left_branch(0, 25, 0, 6), 
% 5.64/5.79  left_branch(0, 20, 0, 7), 
% 5.64/5.79  left_branch(0, 20, 0, 8), 
% 5.64/5.79  left_branch(0, 4, 0, 9), 
% 5.64/5.79  right_branch(9), 
% 5.64/5.79  left_branch(0, 4, 0, 10), 
% 5.64/5.79  right_branch(10), 
% 5.64/5.79  right_branch(8), 
% 5.64/5.79  left_branch(0, 15, 0, 9), 
% 5.64/5.79  left_branch(0, 4, 0, 10), 
% 5.64/5.79  right_branch(10), 
% 5.64/5.79  right_branch(9), 
% 5.64/5.79  right_branch(7), 
% 5.64/5.79  left_branch(0, 25, 0, 8), 
% 5.64/5.79  left_branch(0, 20, 0, 9), 
% 5.64/5.79  left_branch(0, 4, 0, 10), 
% 5.64/5.79  right_branch(10), 
% 5.64/5.79  left_branch(0, 4, 0, 11), 
% 5.64/5.79  right_branch(11), 
% 5.64/5.79  right_branch(9), 
% 5.64/5.79  left_branch(0, 25, 0, 10), 
% 5.64/5.79  left_branch(0, 4, 0, 11), 
% 5.64/5.79  right_branch(11), 
% 5.64/5.79  left_branch(0, 7, 0, 12), 
% 5.64/5.79  right_branch(12), 
% 5.64/5.79  left_branch(0, 4, 0, 13), 
% 5.64/5.79  right_branch(13), 
% 5.64/5.79  right_branch(10), 
% 5.64/5.79  left_branch(0, 20, 0, 11), 
% 5.64/5.79  left_branch(0, 4, 0, 12), 
% 5.64/5.79  right_branch(12), 
% 5.64/5.79  left_branch(0, 4, 0, 13), 
% 5.64/5.79  right_branch(13), 
% 5.64/5.79  right_branch(11), 
% 5.64/5.79  right_branch(8), 
% 5.64/5.79  left_branch(0, 4, 0, 9), 
% 5.64/5.79  right_branch(9), 
% 5.64/5.79  right_branch(6), 
% 5.64/5.79  left_branch(0, 4, 0, 7), 
% 5.64/5.79  right_branch(7), 
% 5.64/5.79  right_branch(4), 
% 5.64/5.79  left_branch(0, 42, 2, 5), 
% 5.64/5.79  left_branch(0, 32, 2, 6), 
% 5.64/5.79  left_branch(0, 20, 2, 7), 
% 5.64/5.79  left_branch(0, 8, 2, 8), 
% 5.64/5.79  left_branch(0, 33, 0, 9), 
% 5.64/5.79  right_branch(9), 
% 5.64/5.79  reduction(0, 1), 
% 5.64/5.79  right_branch(8), 
% 5.64/5.79  reduction(0, 3), 
% 5.64/5.79  right_branch(7), 
% 5.64/5.79  left_branch(0, 31, 0, 8), 
% 5.64/5.79  left_branch(0, 20, 0, 9), 
% 5.64/5.79  left_branch(0, 4, 0, 10), 
% 5.64/5.79  right_branch(10), 
% 5.64/5.79  left_branch(0, 4, 0, 11), 
% 5.64/5.79  right_branch(11), 
% 5.64/5.79  right_branch(9), 
% 5.64/5.79  left_branch(0, 27, 0, 10), 
% 5.64/5.79  left_branch(0, 4, 0, 11), 
% 5.64/5.79  right_branch(11), 
% 5.64/5.79  left_branch(0, 4, 0, 12), 
% 5.64/5.79  right_branch(12), 
% 5.64/5.79  right_branch(10), 
% 5.64/5.79  right_branch(8), 
% 5.64/5.79  right_branch(6), 
% 5.64/5.79  left_branch(0, 36, 0, 7), 
% 5.64/5.79  lemmata(0, 1), 
% 5.64/5.79  right_branch(7), 
% 5.64/5.79  left_branch(0, 39, 0, 8), 
% 5.64/5.79  left_branch(0, 41, 1, 9), 
% 5.64/5.79  lemmata(0, 2), 
% 5.64/5.79  reduction(0, 1), 
% 5.64/5.79  lemmata(0, 1), 
% 5.64/5.79  lemmata(0, 3), 
% 5.64/5.79  right_branch(9), 
% 5.64/5.79  lemmata(0, 1), 
% 5.64/5.79  right_branch(8), 
% 5.64/5.79  lemmata(0, 1), 
% 5.64/5.79  right_branch(5), 
% 5.64/5.79  left_branch(0, 39, 2, 6), 
% 5.64/5.79  left_branch(0, 24, 3, 7), 
% 5.64/5.79  left_branch(0, 44, 4, 8), 
% 5.64/5.79  reduction(0, 0), 
% 5.64/5.79  lemmata(0, 0), 
% 5.64/5.79  lemmata(0, 1), 
% 5.64/5.79  lemmata(0, 2), 
% 5.64/5.79  right_branch(8), 
% 5.64/5.79  left_branch(0, 17, 0, 9), 
% 5.64/5.79  left_branch(0, 17, 0, 10), 
% 5.64/5.79  left_branch(0, 1, 0, 11), 
% 5.64/5.79  right_branch(11), 
% 5.64/5.79  left_branch(0, 1, 0, 12), 
% 5.64/5.79  right_branch(12), 
% 5.64/5.79  right_branch(10), 
% 5.64/5.79  left_branch(0, 11, 0, 11), 
% 5.64/5.79  left_branch(0, 1, 0, 12), 
% 5.64/5.79  right_branch(12), 
% 5.64/5.79  right_branch(11), 
% 5.64/5.79  right_branch(9), 
% 5.64/5.79  left_branch(0, 17, 0, 10), 
% 5.64/5.79  left_branch(0, 17, 0, 11), 
% 5.64/5.79  left_branch(0, 1, 0, 12), 
% 5.64/5.79  right_branch(12), 
% 5.64/5.79  left_branch(0, 34, 0, 13), 
% 5.64/5.79  right_branch(13), 
% 5.64/5.79  right_branch(11), 
% 5.64/5.79  left_branch(0, 17, 0, 12), 
% 5.64/5.79  left_branch(0, 1, 0, 13), 
% 5.64/5.79  right_branch(13), 
% 5.64/5.79  left_branch(0, 37, 0, 14), 
% 5.64/5.79  right_branch(14), 
% 5.64/5.79  right_branch(12), 
% 5.64/5.79  right_branch(10), 
% 5.64/5.79  right_branch(7), 
% 5.64/5.79  lemmata(0, 1), 
% 5.64/5.79  right_branch(6), 
% 5.64/5.79  right_branch(2)
% 5.64/5.79  )).
% 5.64/5.79  % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------