TSTP Solution File: SYN631-1 by ConnectPP---0.3.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ConnectPP---0.3.0
% Problem  : SYN631-1 : 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 : n011.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 14:43:15 EDT 2024

% Result   : Unsatisfiable 133.75s 133.91s
% Output   : Proof 133.75s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SYN631-1 : 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 : n011.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 22:47:57 EDT 2024
% 0.13/0.34  % CPUTime  : 
% 133.75/133.91  % SZS status Unsatisfiable for theBenchmark
% 133.75/133.91  % SZS output start Proof for theBenchmark
% 133.75/133.91  
% 133.75/133.91  % Problem matrix:
% 133.75/133.91  cnf(matrix-0, plain, ( p10(X0, X0) )).
% 133.75/133.91  cnf(matrix-1, plain, ( p9(X74, X74) )).
% 133.75/133.91  cnf(matrix-2, plain, ( p7(X65, X65) )).
% 133.75/133.91  cnf(matrix-3, plain, ( p6(X62, X62) )).
% 133.75/133.91  cnf(matrix-4, plain, ( p5(X37, X37) )).
% 133.75/133.91  cnf(matrix-5, plain, ( p3(X32, X32) )).
% 133.75/133.91  cnf(matrix-6, plain, ( p2(X12, X12) )).
% 133.75/133.91  cnf(matrix-7, plain, ( p12(X5, X5) )).
% 133.75/133.91  cnf(matrix-8, plain, ( p22(c25, c28) )).
% 133.75/133.91  cnf(matrix-9, plain, ( p5(f17(f18(X48, X49)), X48) )).
% 133.75/133.91  cnf(matrix-10, plain, ( p5(f16(f18(X44, X45)), X45) )).
% 133.75/133.91  cnf(matrix-11, plain, ( p23(f13(c27, f14(c28)), f11(f15(c24))) )).
% 133.75/133.91  cnf(matrix-12, plain, ( ~p23(f13(f16(c27), f14(c28)), f11(c24)) )).
% 133.75/133.91  cnf(matrix-13, plain, ( p9(f15(X77), f15(X78)) | ~p9(X77, X78) )).
% 133.75/133.91  cnf(matrix-14, plain, ( p10(f11(X3), f11(X4)) | ~p9(X3, X4) )).
% 133.75/133.91  cnf(matrix-15, plain, ( p3(f4(X35), f4(X36)) | ~p2(X35, X36) )).
% 133.75/133.91  cnf(matrix-16, plain, ( p5(f14(X40), f14(X41)) | ~p6(X40, X41) )).
% 133.75/133.91  cnf(matrix-17, plain, ( p5(f16(X42), f16(X43)) | ~p5(X42, X43) )).
% 133.75/133.91  cnf(matrix-18, plain, ( p5(f17(X46), f17(X47)) | ~p5(X46, X47) )).
% 133.75/133.91  cnf(matrix-19, plain, ( p5(f20(X60), f20(X61)) | ~p5(X60, X61) )).
% 133.75/133.91  cnf(matrix-20, plain, ( p10(X1, X2) | ~p10(X0, X1) | ~p10(X0, X2) )).
% 133.75/133.91  cnf(matrix-21, plain, ( p9(X75, X76) | ~p9(X74, X75) | ~p9(X74, X76) )).
% 133.75/133.91  cnf(matrix-22, plain, ( p7(X66, X67) | ~p7(X65, X66) | ~p7(X65, X67) )).
% 133.75/133.91  cnf(matrix-23, plain, ( p6(X63, X64) | ~p6(X62, X63) | ~p6(X62, X64) )).
% 133.75/133.91  cnf(matrix-24, plain, ( p5(X38, X39) | ~p5(X37, X38) | ~p5(X37, X39) )).
% 133.75/133.91  cnf(matrix-25, plain, ( p3(X33, X34) | ~p3(X32, X33) | ~p3(X32, X34) )).
% 133.75/133.91  cnf(matrix-26, plain, ( p2(X13, X14) | ~p2(X12, X13) | ~p2(X12, X14) )).
% 133.75/133.91  cnf(matrix-27, plain, ( p12(X6, X7) | ~p12(X5, X6) | ~p12(X5, X7) )).
% 133.75/133.91  cnf(matrix-28, plain, ( p23(X25, X26) | ~p12(X28, X25) | ~p23(X28, X27) | ~p10(X27, X26) )).
% 133.75/133.91  cnf(matrix-29, plain, ( p21(X15, X16) | ~p3(X18, X16) | ~p7(X17, X15) | ~p21(X17, X18) )).
% 133.75/133.91  cnf(matrix-30, plain, ( p22(X21, X22) | ~p3(X23, X21) | ~p6(X24, X22) | ~p22(X23, X24) )).
% 133.75/133.91  cnf(matrix-31, plain, ( p12(f13(X8, X9), f13(X10, X11)) | ~p5(X8, X10) | ~p5(X9, X11) )).
% 133.75/133.91  cnf(matrix-32, plain, ( p5(f18(X50, X51), f18(X52, X53)) | ~p5(X50, X52) | ~p5(X51, X53) )).
% 133.75/133.91  cnf(matrix-33, plain, ( p5(X30, f18(f20(c29), f19(X29, X30, X31))) | ~p23(f13(X30, X31), f11(f15(X29))) )).
% 133.75/133.91  cnf(matrix-34, plain, ( p23(f13(f19(X29, X30, X31), X31), f11(X29)) | ~p23(f13(X30, X31), f11(f15(X29))) )).
% 133.75/133.91  cnf(matrix-35, plain, ( p21(f8(c26, X19, X20), f4(c26)) | ~p22(c25, X20) | ~p23(f13(X19, f14(X20)), f11(c24)) )).
% 133.75/133.91  cnf(matrix-36, plain, ( p7(f8(X68, X69, X70), f8(X71, X72, X73)) | ~p5(X69, X72) | ~p6(X70, X73) | ~p2(X68, X71) )).
% 133.75/133.91  cnf(matrix-37, plain, ( p5(f19(X54, X55, X56), f19(X57, X58, X59)) | ~p5(X56, X59) | ~p9(X54, X57) | ~p5(X55, X58) )).
% 133.75/133.91  
% 133.75/133.91  % Proof stack:
% 133.75/133.91  cnf(proof-stack, plain, 
% 133.75/133.91  proof_stack(
% 133.75/133.91  start(18), 
% 133.75/133.91  left_branch(0, 24, 2, 2), 
% 133.75/133.91  left_branch(0, 31, 1, 3), 
% 133.75/133.91  left_branch(0, 28, 1, 4), 
% 133.75/133.91  left_branch(0, 28, 2, 5), 
% 133.75/133.91  left_branch(0, 28, 2, 6), 
% 133.75/133.91  left_branch(0, 12, 0, 7), 
% 133.75/133.91  right_branch(7), 
% 133.75/133.91  left_branch(0, 0, 0, 8), 
% 133.75/133.91  right_branch(8), 
% 133.75/133.91  left_branch(0, 7, 0, 9), 
% 133.75/133.91  right_branch(9), 
% 133.75/133.91  right_branch(6), 
% 133.75/133.91  left_branch(0, 20, 0, 7), 
% 133.75/133.91  left_branch(0, 0, 0, 8), 
% 133.75/133.91  right_branch(8), 
% 133.75/133.91  left_branch(0, 0, 0, 9), 
% 133.75/133.91  right_branch(9), 
% 133.75/133.91  right_branch(7), 
% 133.75/133.91  left_branch(0, 31, 0, 8), 
% 133.75/133.91  left_branch(0, 10, 0, 9), 
% 133.75/133.91  right_branch(9), 
% 133.75/133.91  left_branch(0, 9, 0, 10), 
% 133.75/133.91  right_branch(10), 
% 133.75/133.91  right_branch(8), 
% 133.75/133.91  right_branch(5), 
% 133.75/133.91  left_branch(0, 34, 0, 6), 
% 133.75/133.91  left_branch(0, 28, 0, 7), 
% 133.75/133.91  left_branch(0, 0, 0, 8), 
% 133.75/133.91  right_branch(8), 
% 133.75/133.91  left_branch(0, 11, 0, 9), 
% 133.75/133.91  right_branch(9), 
% 133.75/133.91  left_branch(0, 7, 0, 10), 
% 133.75/133.91  right_branch(10), 
% 133.75/133.91  right_branch(7), 
% 133.75/133.91  right_branch(6), 
% 133.75/133.91  left_branch(0, 14, 0, 7), 
% 133.75/133.91  left_branch(0, 1, 0, 8), 
% 133.75/133.91  right_branch(8), 
% 133.75/133.91  right_branch(7), 
% 133.75/133.91  right_branch(4), 
% 133.75/133.91  left_branch(0, 24, 0, 5), 
% 133.75/133.91  left_branch(0, 24, 0, 6), 
% 133.75/133.91  left_branch(0, 24, 0, 7), 
% 133.75/133.91  left_branch(0, 10, 0, 8), 
% 133.75/133.91  right_branch(8), 
% 133.75/133.91  left_branch(0, 10, 0, 9), 
% 133.75/133.91  right_branch(9), 
% 133.75/133.91  right_branch(7), 
% 133.75/133.91  left_branch(0, 17, 0, 8), 
% 133.75/133.91  left_branch(0, 4, 0, 9), 
% 133.75/133.91  right_branch(9), 
% 133.75/133.91  right_branch(8), 
% 133.75/133.91  right_branch(6), 
% 133.75/133.91  left_branch(0, 10, 0, 7), 
% 133.75/133.91  right_branch(7), 
% 133.75/133.91  right_branch(5), 
% 133.75/133.91  right_branch(3), 
% 133.75/133.91  left_branch(0, 9, 0, 4), 
% 133.75/133.91  right_branch(4), 
% 133.75/133.91  right_branch(2), 
% 133.75/133.91  left_branch(0, 32, 0, 3), 
% 133.75/133.91  left_branch(0, 37, 0, 4), 
% 133.75/133.91  left_branch(0, 37, 0, 5), 
% 133.75/133.91  left_branch(0, 37, 0, 6), 
% 133.75/133.91  left_branch(0, 37, 0, 7), 
% 133.75/133.91  left_branch(0, 10, 0, 8), 
% 133.75/133.91  right_branch(8), 
% 133.75/133.91  left_branch(0, 1, 0, 9), 
% 133.75/133.91  right_branch(9), 
% 133.75/133.91  left_branch(0, 10, 0, 10), 
% 133.75/133.91  right_branch(10), 
% 133.75/133.91  right_branch(7), 
% 133.75/133.91  left_branch(0, 21, 0, 8), 
% 133.75/133.91  left_branch(0, 1, 0, 9), 
% 133.75/133.91  right_branch(9), 
% 133.75/133.91  left_branch(0, 1, 0, 10), 
% 133.75/133.91  right_branch(10), 
% 133.75/133.91  right_branch(8), 
% 133.75/133.91  left_branch(0, 37, 0, 9), 
% 133.75/133.91  left_branch(0, 10, 0, 10), 
% 133.75/133.91  right_branch(10), 
% 133.75/133.91  left_branch(0, 1, 0, 11), 
% 133.75/133.91  right_branch(11), 
% 133.75/133.91  left_branch(0, 10, 0, 12), 
% 133.75/133.91  right_branch(12), 
% 133.75/133.91  right_branch(9), 
% 133.75/133.91  right_branch(6), 
% 133.75/133.91  left_branch(0, 21, 0, 7), 
% 133.75/133.91  left_branch(0, 21, 0, 8), 
% 133.75/133.91  left_branch(0, 1, 0, 9), 
% 133.75/133.91  right_branch(9), 
% 133.75/133.91  left_branch(0, 1, 0, 10), 
% 133.75/133.91  right_branch(10), 
% 133.75/133.91  right_branch(8), 
% 133.75/133.91  left_branch(0, 13, 0, 9), 
% 133.75/133.91  left_branch(0, 1, 0, 10), 
% 133.75/133.91  right_branch(10), 
% 133.75/133.91  right_branch(9), 
% 133.75/133.91  right_branch(7), 
% 133.75/133.91  left_branch(0, 37, 0, 8), 
% 133.75/133.91  left_branch(0, 37, 0, 9), 
% 133.75/133.91  left_branch(0, 10, 0, 10), 
% 133.75/133.91  right_branch(10), 
% 133.75/133.91  left_branch(0, 1, 0, 11), 
% 133.75/133.91  right_branch(11), 
% 133.75/133.91  left_branch(0, 10, 0, 12), 
% 133.75/133.91  right_branch(12), 
% 133.75/133.91  right_branch(9), 
% 133.75/133.91  left_branch(0, 21, 0, 10), 
% 133.75/133.91  left_branch(0, 1, 0, 11), 
% 133.75/133.91  right_branch(11), 
% 133.75/133.91  left_branch(0, 1, 0, 12), 
% 133.75/133.91  right_branch(12), 
% 133.75/133.91  right_branch(10), 
% 133.75/133.91  left_branch(0, 37, 0, 11), 
% 133.75/133.91  left_branch(0, 10, 0, 12), 
% 133.75/133.91  right_branch(12), 
% 133.75/133.91  left_branch(0, 1, 0, 13), 
% 133.75/133.91  right_branch(13), 
% 133.75/133.91  left_branch(0, 10, 0, 14), 
% 133.75/133.91  right_branch(14), 
% 133.75/133.91  right_branch(11), 
% 133.75/133.91  right_branch(8), 
% 133.75/133.91  right_branch(5), 
% 133.75/133.91  left_branch(0, 21, 0, 6), 
% 133.75/133.91  left_branch(0, 21, 0, 7), 
% 133.75/133.91  left_branch(0, 21, 0, 8), 
% 133.75/133.91  left_branch(0, 1, 0, 9), 
% 133.75/133.91  right_branch(9), 
% 133.75/133.91  left_branch(0, 1, 0, 10), 
% 133.75/133.91  right_branch(10), 
% 133.75/133.91  right_branch(8), 
% 133.75/133.91  left_branch(0, 13, 0, 9), 
% 133.75/133.91  left_branch(0, 1, 0, 10), 
% 133.75/133.91  right_branch(10), 
% 133.75/133.91  right_branch(9), 
% 133.75/133.91  right_branch(7), 
% 133.75/133.91  left_branch(0, 13, 0, 8), 
% 133.75/133.91  left_branch(0, 21, 0, 9), 
% 133.75/133.91  left_branch(0, 1, 0, 10), 
% 133.75/133.91  right_branch(10), 
% 133.75/133.91  left_branch(0, 1, 0, 11), 
% 133.75/133.91  right_branch(11), 
% 133.75/133.91  right_branch(9), 
% 133.75/133.91  right_branch(8), 
% 133.75/133.91  right_branch(6), 
% 133.75/133.91  left_branch(0, 37, 0, 7), 
% 133.75/133.91  left_branch(0, 37, 0, 8), 
% 133.75/133.91  left_branch(0, 37, 0, 9), 
% 133.75/133.91  left_branch(0, 10, 0, 10), 
% 133.75/133.91  right_branch(10), 
% 133.75/133.91  left_branch(0, 1, 0, 11), 
% 133.75/133.91  right_branch(11), 
% 133.75/133.91  left_branch(0, 10, 0, 12), 
% 133.75/133.91  right_branch(12), 
% 133.75/133.91  right_branch(9), 
% 133.75/133.91  left_branch(0, 21, 0, 10), 
% 133.75/133.91  left_branch(0, 1, 0, 11), 
% 133.75/133.91  right_branch(11), 
% 133.75/133.91  left_branch(0, 1, 0, 12), 
% 133.75/133.91  right_branch(12), 
% 133.75/133.91  right_branch(10), 
% 133.75/133.91  left_branch(0, 37, 0, 11), 
% 133.75/133.91  left_branch(0, 10, 0, 12), 
% 133.75/133.91  right_branch(12), 
% 133.75/133.91  left_branch(0, 1, 0, 13), 
% 133.75/133.91  right_branch(13), 
% 133.75/133.91  left_branch(0, 10, 0, 14), 
% 133.75/133.91  right_branch(14), 
% 133.75/133.91  right_branch(11), 
% 133.75/133.91  right_branch(8), 
% 133.75/133.91  left_branch(0, 21, 0, 9), 
% 133.75/133.91  left_branch(0, 21, 0, 10), 
% 133.75/133.91  left_branch(0, 1, 0, 11), 
% 133.75/133.91  right_branch(11), 
% 133.75/133.91  left_branch(0, 1, 0, 12), 
% 133.75/133.91  right_branch(12), 
% 133.75/133.91  right_branch(10), 
% 133.75/133.91  left_branch(0, 13, 0, 11), 
% 133.75/133.91  left_branch(0, 1, 0, 12), 
% 133.75/133.91  right_branch(12), 
% 133.75/133.91  right_branch(11), 
% 133.75/133.91  right_branch(9), 
% 133.75/133.91  left_branch(0, 37, 0, 10), 
% 133.75/133.91  left_branch(0, 37, 0, 11), 
% 133.75/133.91  left_branch(0, 10, 0, 12), 
% 133.75/133.91  right_branch(12), 
% 133.75/133.91  left_branch(0, 1, 0, 13), 
% 133.75/133.91  right_branch(13), 
% 133.75/133.91  left_branch(0, 10, 0, 14), 
% 133.75/133.91  right_branch(14), 
% 133.75/133.91  right_branch(11), 
% 133.75/133.91  left_branch(0, 21, 0, 12), 
% 133.75/133.91  left_branch(0, 1, 0, 13), 
% 133.75/133.91  right_branch(13), 
% 133.75/133.91  left_branch(0, 1, 0, 14), 
% 133.75/133.91  right_branch(14), 
% 133.75/133.91  right_branch(12), 
% 133.75/133.91  left_branch(0, 37, 0, 13), 
% 133.75/133.91  left_branch(0, 10, 0, 14), 
% 133.75/133.91  right_branch(14), 
% 133.75/133.91  left_branch(0, 1, 0, 15), 
% 133.75/133.91  right_branch(15), 
% 133.75/133.91  left_branch(0, 10, 0, 16), 
% 133.75/133.91  right_branch(16), 
% 133.75/133.91  right_branch(13), 
% 133.75/133.91  right_branch(10), 
% 133.75/133.91  right_branch(7), 
% 133.75/133.91  right_branch(4), 
% 133.75/133.91  left_branch(0, 24, 0, 5), 
% 133.75/133.91  left_branch(0, 24, 0, 6), 
% 133.75/133.91  left_branch(0, 24, 0, 7), 
% 133.75/133.91  left_branch(0, 24, 0, 8), 
% 133.75/133.91  left_branch(0, 10, 0, 9), 
% 133.75/133.91  right_branch(9), 
% 133.75/133.91  left_branch(0, 10, 0, 10), 
% 133.75/133.91  right_branch(10), 
% 133.75/133.91  right_branch(8), 
% 133.75/133.91  left_branch(0, 24, 0, 9), 
% 133.75/133.91  left_branch(0, 10, 0, 10), 
% 133.75/133.91  right_branch(10), 
% 133.75/133.91  left_branch(0, 10, 0, 11), 
% 133.75/133.91  right_branch(11), 
% 133.75/133.91  right_branch(9), 
% 133.75/133.91  right_branch(7), 
% 133.75/133.91  left_branch(0, 17, 0, 8), 
% 133.75/133.91  left_branch(0, 33, 0, 9), 
% 133.75/133.91  left_branch(0, 11, 0, 10), 
% 133.75/133.91  right_branch(10), 
% 133.75/133.91  right_branch(9), 
% 133.75/133.91  right_branch(8), 
% 133.75/133.91  right_branch(6), 
% 133.75/133.91  left_branch(0, 10, 0, 7), 
% 133.75/133.91  right_branch(7), 
% 133.75/133.91  right_branch(5), 
% 133.75/133.91  right_branch(3)
% 133.75/133.91  )).
% 133.75/133.91  % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------