TSTP Solution File: SYN614-1 by ConnectPP---0.3.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ConnectPP---0.3.0
% Problem  : SYN614-1 : 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 : n016.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 14:43:13 EDT 2024

% Result   : Unsatisfiable 0.21s 0.38s
% Output   : Proof 0.21s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : SYN614-1 : TPTP v8.1.2. Released v2.5.0.
% 0.14/0.13  % Command  : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.14/0.35  % Computer : n016.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Wed Mar 20 23:39:54 EDT 2024
% 0.14/0.35  % CPUTime  : 
% 0.21/0.38  % SZS status Unsatisfiable for theBenchmark
% 0.21/0.38  % SZS output start Proof for theBenchmark
% 0.21/0.38  
% 0.21/0.38  % Problem matrix:
% 0.21/0.38  cnf(matrix-0, plain, ( p13(X0, X0) )).
% 0.21/0.38  cnf(matrix-1, plain, ( p7(X43, X43) )).
% 0.21/0.38  cnf(matrix-2, plain, ( p2(X18, X18) )).
% 0.21/0.38  cnf(matrix-3, plain, ( p15(X7, X7) )).
% 0.21/0.38  cnf(matrix-4, plain, ( ~p2(c21, f3(c22)) )).
% 0.21/0.38  cnf(matrix-5, plain, ( p19(c23, f3(f4(f5(c22)))) )).
% 0.21/0.38  cnf(matrix-6, plain, ( p20(c24, f6(f3(f4(f5(c22))), c21)) )).
% 0.21/0.38  cnf(matrix-7, plain, ( p7(f12(X52), f12(X53)) | ~p7(X52, X53) )).
% 0.21/0.38  cnf(matrix-8, plain, ( p2(f3(X29), f3(X30)) | ~p2(X29, X30) )).
% 0.21/0.38  cnf(matrix-9, plain, ( p2(f4(X31), f4(X32)) | ~p2(X31, X32) )).
% 0.21/0.38  cnf(matrix-10, plain, ( p2(f5(X33), f5(X34)) | ~p2(X33, X34) )).
% 0.21/0.38  cnf(matrix-11, plain, ( p7(f11(X50), f11(X51)) | ~p2(X50, X51) )).
% 0.21/0.38  cnf(matrix-12, plain, ( p2(c26, f14(f16(c28, f17(c21, c27)), c25)) )).
% 0.21/0.38  cnf(matrix-13, plain, ( p13(X1, X2) | ~p13(X0, X1) | ~p13(X0, X2) )).
% 0.21/0.38  cnf(matrix-14, plain, ( p7(X44, X45) | ~p7(X43, X44) | ~p7(X43, X45) )).
% 0.21/0.38  cnf(matrix-15, plain, ( p2(X19, X20) | ~p2(X18, X19) | ~p2(X18, X20) )).
% 0.21/0.38  cnf(matrix-16, plain, ( p15(X8, X9) | ~p15(X7, X8) | ~p15(X7, X9) )).
% 0.21/0.38  cnf(matrix-17, plain, ( p19(f6(f3(f4(f5(c22))), f18(c21, f3(f5(c22)))), c24) )).
% 0.21/0.38  cnf(matrix-18, plain, ( p20(X39, X40) | ~p2(X42, X40) | ~p20(X41, X42) | ~p2(X41, X39) )).
% 0.21/0.38  cnf(matrix-19, plain, ( p19(X14, X15) | ~p2(X16, X14) | ~p2(X17, X15) | ~p19(X16, X17) )).
% 0.21/0.38  cnf(matrix-20, plain, ( p13(f16(X3, X4), f16(X5, X6)) | ~p15(X4, X6) | ~p2(X3, X5) )).
% 0.21/0.38  cnf(matrix-21, plain, ( p7(f9(X58, X59), f9(X60, X61)) | ~p7(X58, X60) | ~p7(X59, X61) )).
% 0.21/0.38  cnf(matrix-22, plain, ( p7(f8(X54, X55), f8(X56, X57)) | ~p7(X54, X56) | ~p7(X55, X57) )).
% 0.21/0.38  cnf(matrix-23, plain, ( p7(f10(X46, X47), f10(X48, X49)) | ~p2(X47, X49) | ~p7(X46, X48) )).
% 0.21/0.38  cnf(matrix-24, plain, ( p2(f6(X35, X36), f6(X37, X38)) | ~p2(X35, X37) | ~p2(X36, X38) )).
% 0.21/0.38  cnf(matrix-25, plain, ( p2(f18(X25, X26), f18(X27, X28)) | ~p2(X25, X27) | ~p2(X26, X28) )).
% 0.21/0.38  cnf(matrix-26, plain, ( p2(f14(X21, X22), f14(X23, X24)) | ~p13(X21, X23) | ~p7(X22, X24) )).
% 0.21/0.38  cnf(matrix-27, plain, ( p15(f17(X10, X11), f17(X12, X13)) | ~p2(X10, X12) | ~p2(X11, X13) )).
% 0.21/0.38  cnf(matrix-28, plain, ( p7(c25, f8(f10(f12(f11(f3(f5(c22)))), c23), f8(f10(f11(f3(f4(f5(c22)))), c26), f9(f11(c24), f10(f11(f3(f4(f5(c22)))), c27))))) )).
% 0.21/0.38  cnf(matrix-29, plain, ( ~p19(X62, f3(f4(f5(c22)))) | ~p20(X63, f6(f3(f4(f5(c22))), c21)) | ~p2(f14(f16(c28, f17(c21, c27)), c25), f3(c22)) | ~p7(c25, f8(f10(f12(f11(f3(f5(c22)))), X62), f8(f10(f11(f3(f4(f5(c22)))), f14(f16(c28, f17(c21, c27)), c25)), f9(f11(X63), f10(f11(f3(f4(f5(c22)))), c27))))) )).
% 0.21/0.38  cnf(matrix-30, plain, ( ~p19(X62, f3(f4(f5(c22)))) | ~p20(X63, f6(f3(f4(f5(c22))), c21)) | ~p19(f6(f3(f4(f5(c22))), f18(c21, f3(f5(c22)))), X63) | ~p7(c25, f8(f10(f12(f11(f3(f5(c22)))), X62), f8(f10(f11(f3(f4(f5(c22)))), f14(f16(c28, f17(c21, c27)), c25)), f9(f11(X63), f10(f11(f3(f4(f5(c22)))), c27))))) )).
% 0.21/0.38  
% 0.21/0.38  % Proof stack:
% 0.21/0.38  cnf(proof-stack, plain, 
% 0.21/0.38  proof_stack(
% 0.21/0.38  start(30), 
% 0.21/0.38  left_branch(0, 5, 0, 2), 
% 0.21/0.38  right_branch(2), 
% 0.21/0.38  left_branch(0, 14, 0, 3), 
% 0.21/0.38  left_branch(0, 22, 0, 4), 
% 0.21/0.38  left_branch(0, 22, 0, 5), 
% 0.21/0.38  left_branch(0, 21, 0, 6), 
% 0.21/0.38  left_branch(0, 1, 0, 7), 
% 0.21/0.38  right_branch(7), 
% 0.21/0.38  left_branch(0, 1, 0, 8), 
% 0.21/0.38  right_branch(8), 
% 0.21/0.38  right_branch(6), 
% 0.21/0.38  left_branch(0, 23, 0, 7), 
% 0.21/0.38  left_branch(0, 1, 0, 8), 
% 0.21/0.38  right_branch(8), 
% 0.21/0.38  left_branch(0, 12, 0, 9), 
% 0.21/0.38  right_branch(9), 
% 0.21/0.38  right_branch(7), 
% 0.21/0.38  right_branch(5), 
% 0.21/0.38  left_branch(0, 23, 0, 6), 
% 0.21/0.38  left_branch(0, 14, 0, 7), 
% 0.21/0.38  left_branch(0, 1, 0, 8), 
% 0.21/0.38  right_branch(8), 
% 0.21/0.38  left_branch(0, 1, 0, 9), 
% 0.21/0.38  right_branch(9), 
% 0.21/0.38  right_branch(7), 
% 0.21/0.38  left_branch(0, 15, 0, 8), 
% 0.21/0.38  left_branch(0, 2, 0, 9), 
% 0.21/0.38  right_branch(9), 
% 0.21/0.38  left_branch(0, 2, 0, 10), 
% 0.21/0.38  right_branch(10), 
% 0.21/0.38  right_branch(8), 
% 0.21/0.38  right_branch(6), 
% 0.21/0.38  right_branch(4), 
% 0.21/0.38  left_branch(0, 14, 0, 5), 
% 0.21/0.38  left_branch(0, 14, 0, 6), 
% 0.21/0.38  left_branch(0, 14, 0, 7), 
% 0.21/0.38  left_branch(0, 1, 0, 8), 
% 0.21/0.38  right_branch(8), 
% 0.21/0.38  left_branch(0, 28, 0, 9), 
% 0.21/0.38  right_branch(9), 
% 0.21/0.38  right_branch(7), 
% 0.21/0.38  left_branch(0, 22, 0, 8), 
% 0.21/0.38  left_branch(0, 1, 0, 9), 
% 0.21/0.38  right_branch(9), 
% 0.21/0.38  left_branch(0, 1, 0, 10), 
% 0.21/0.38  right_branch(10), 
% 0.21/0.38  right_branch(8), 
% 0.21/0.38  right_branch(6), 
% 0.21/0.38  left_branch(0, 22, 0, 7), 
% 0.21/0.38  left_branch(0, 22, 0, 8), 
% 0.21/0.38  left_branch(0, 1, 0, 9), 
% 0.21/0.38  right_branch(9), 
% 0.21/0.38  left_branch(0, 1, 0, 10), 
% 0.21/0.38  right_branch(10), 
% 0.21/0.38  right_branch(8), 
% 0.21/0.38  left_branch(0, 23, 0, 9), 
% 0.21/0.38  left_branch(0, 1, 0, 10), 
% 0.21/0.38  right_branch(10), 
% 0.21/0.38  left_branch(0, 2, 0, 11), 
% 0.21/0.38  right_branch(11), 
% 0.21/0.38  right_branch(9), 
% 0.21/0.38  right_branch(7), 
% 0.21/0.38  right_branch(5), 
% 0.21/0.38  right_branch(3), 
% 0.21/0.38  left_branch(0, 19, 0, 4), 
% 0.21/0.38  left_branch(0, 19, 0, 5), 
% 0.21/0.38  left_branch(0, 19, 0, 6), 
% 0.21/0.38  left_branch(0, 19, 0, 7), 
% 0.21/0.38  left_branch(0, 17, 0, 8), 
% 0.21/0.38  right_branch(8), 
% 0.21/0.38  left_branch(0, 2, 0, 9), 
% 0.21/0.38  right_branch(9), 
% 0.21/0.38  left_branch(0, 2, 0, 10), 
% 0.21/0.38  right_branch(10), 
% 0.21/0.38  right_branch(7), 
% 0.21/0.38  left_branch(0, 2, 0, 8), 
% 0.21/0.38  right_branch(8), 
% 0.21/0.38  left_branch(0, 24, 0, 9), 
% 0.21/0.38  left_branch(0, 2, 0, 10), 
% 0.21/0.38  right_branch(10), 
% 0.21/0.38  left_branch(0, 2, 0, 11), 
% 0.21/0.38  right_branch(11), 
% 0.21/0.38  right_branch(9), 
% 0.21/0.38  right_branch(6), 
% 0.21/0.38  left_branch(0, 2, 0, 7), 
% 0.21/0.38  right_branch(7), 
% 0.21/0.38  left_branch(0, 24, 0, 8), 
% 0.21/0.38  left_branch(0, 25, 0, 9), 
% 0.21/0.38  left_branch(0, 2, 0, 10), 
% 0.21/0.38  right_branch(10), 
% 0.21/0.38  left_branch(0, 2, 0, 11), 
% 0.21/0.38  right_branch(11), 
% 0.21/0.38  right_branch(9), 
% 0.21/0.38  left_branch(0, 8, 0, 10), 
% 0.21/0.38  left_branch(0, 2, 0, 11), 
% 0.21/0.38  right_branch(11), 
% 0.21/0.38  right_branch(10), 
% 0.21/0.38  right_branch(8), 
% 0.21/0.38  right_branch(5), 
% 0.21/0.38  left_branch(0, 2, 0, 6), 
% 0.21/0.38  right_branch(6), 
% 0.21/0.38  left_branch(0, 24, 0, 7), 
% 0.21/0.38  left_branch(0, 25, 0, 8), 
% 0.21/0.38  left_branch(0, 8, 0, 9), 
% 0.21/0.38  left_branch(0, 2, 0, 10), 
% 0.21/0.38  right_branch(10), 
% 0.21/0.38  right_branch(9), 
% 0.21/0.38  left_branch(0, 2, 0, 10), 
% 0.21/0.38  right_branch(10), 
% 0.21/0.38  right_branch(8), 
% 0.21/0.38  left_branch(0, 8, 0, 9), 
% 0.21/0.38  left_branch(0, 9, 0, 10), 
% 0.21/0.38  left_branch(0, 2, 0, 11), 
% 0.21/0.38  right_branch(11), 
% 0.21/0.38  right_branch(10), 
% 0.21/0.38  right_branch(9), 
% 0.21/0.38  right_branch(7), 
% 0.21/0.38  right_branch(4), 
% 0.21/0.38  left_branch(0, 18, 0, 5), 
% 0.21/0.38  left_branch(0, 15, 0, 6), 
% 0.21/0.38  left_branch(0, 15, 0, 7), 
% 0.21/0.38  left_branch(0, 15, 0, 8), 
% 0.21/0.38  left_branch(0, 2, 0, 9), 
% 0.21/0.38  right_branch(9), 
% 0.21/0.38  left_branch(0, 2, 0, 10), 
% 0.21/0.38  right_branch(10), 
% 0.21/0.38  right_branch(8), 
% 0.21/0.38  left_branch(0, 2, 0, 9), 
% 0.21/0.38  right_branch(9), 
% 0.21/0.38  right_branch(7), 
% 0.21/0.38  left_branch(0, 2, 0, 8), 
% 0.21/0.38  right_branch(8), 
% 0.21/0.38  right_branch(6), 
% 0.21/0.38  left_branch(0, 18, 0, 7), 
% 0.21/0.38  left_branch(0, 15, 0, 8), 
% 0.21/0.38  left_branch(0, 15, 0, 9), 
% 0.21/0.38  left_branch(0, 2, 0, 10), 
% 0.21/0.38  right_branch(10), 
% 0.21/0.38  left_branch(0, 2, 0, 11), 
% 0.21/0.38  right_branch(11), 
% 0.21/0.38  right_branch(9), 
% 0.21/0.38  left_branch(0, 2, 0, 10), 
% 0.21/0.38  right_branch(10), 
% 0.21/0.38  right_branch(8), 
% 0.21/0.38  left_branch(0, 18, 0, 9), 
% 0.21/0.38  left_branch(0, 15, 0, 10), 
% 0.21/0.38  left_branch(0, 2, 0, 11), 
% 0.21/0.38  right_branch(11), 
% 0.21/0.38  left_branch(0, 2, 0, 12), 
% 0.21/0.38  right_branch(12), 
% 0.21/0.38  right_branch(10), 
% 0.21/0.38  left_branch(0, 18, 0, 11), 
% 0.21/0.38  left_branch(0, 2, 0, 12), 
% 0.21/0.38  right_branch(12), 
% 0.21/0.38  left_branch(0, 6, 0, 13), 
% 0.21/0.38  right_branch(13), 
% 0.21/0.38  left_branch(0, 2, 0, 14), 
% 0.21/0.38  right_branch(14), 
% 0.21/0.38  right_branch(11), 
% 0.21/0.38  left_branch(0, 24, 0, 12), 
% 0.21/0.38  left_branch(0, 2, 0, 13), 
% 0.21/0.38  right_branch(13), 
% 0.21/0.38  left_branch(0, 2, 0, 14), 
% 0.21/0.38  right_branch(14), 
% 0.21/0.38  right_branch(12), 
% 0.21/0.38  right_branch(9), 
% 0.21/0.38  left_branch(0, 24, 0, 10), 
% 0.21/0.38  left_branch(0, 2, 0, 11), 
% 0.21/0.38  right_branch(11), 
% 0.21/0.38  left_branch(0, 8, 0, 12), 
% 0.21/0.38  left_branch(0, 2, 0, 13), 
% 0.21/0.38  right_branch(13), 
% 0.21/0.38  right_branch(12), 
% 0.21/0.38  right_branch(10), 
% 0.21/0.38  right_branch(7), 
% 0.21/0.38  left_branch(0, 24, 0, 8), 
% 0.21/0.38  left_branch(0, 2, 0, 9), 
% 0.21/0.38  right_branch(9), 
% 0.21/0.38  left_branch(0, 8, 0, 10), 
% 0.21/0.38  left_branch(0, 9, 0, 11), 
% 0.21/0.38  left_branch(0, 2, 0, 12), 
% 0.21/0.38  right_branch(12), 
% 0.21/0.38  right_branch(11), 
% 0.21/0.38  right_branch(10), 
% 0.21/0.38  right_branch(8), 
% 0.21/0.38  right_branch(5)
% 0.21/0.38  )).
% 0.21/0.38  % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------