TSTP Solution File: SYN709-1 by ConnectPP---0.3.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ConnectPP---0.3.0
% Problem  : SYN709-1 : 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 : n015.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 14:43:26 EDT 2024

% Result   : Unsatisfiable 0.12s 0.34s
% Output   : Proof 0.12s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SYN709-1 : TPTP v8.1.2. Released v2.5.0.
% 0.03/0.12  % Command  : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.12/0.33  % Computer : n015.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Wed Mar 20 23:04:34 EDT 2024
% 0.12/0.33  % CPUTime  : 
% 0.12/0.34  % SZS status Unsatisfiable for theBenchmark
% 0.12/0.34  % SZS output start Proof for theBenchmark
% 0.12/0.34  
% 0.12/0.34  % Problem matrix:
% 0.12/0.34  cnf(matrix-0, plain, ( p10(X0, X0) )).
% 0.12/0.34  cnf(matrix-1, plain, ( p9(X156, X156) )).
% 0.12/0.34  cnf(matrix-2, plain, ( p7(X153, X153) )).
% 0.12/0.34  cnf(matrix-3, plain, ( p6(X150, X150) )).
% 0.12/0.34  cnf(matrix-4, plain, ( p42(X127, X127) )).
% 0.12/0.34  cnf(matrix-5, plain, ( p40(X124, X124) )).
% 0.12/0.34  cnf(matrix-6, plain, ( p4(X117, X117) )).
% 0.12/0.34  cnf(matrix-7, plain, ( p38(X110, X110) )).
% 0.12/0.34  cnf(matrix-8, plain, ( p36(X103, X103) )).
% 0.12/0.34  cnf(matrix-9, plain, ( p35(X96, X96) )).
% 0.12/0.34  cnf(matrix-10, plain, ( p32(X93, X93) )).
% 0.12/0.34  cnf(matrix-11, plain, ( p30(X86, X86) )).
% 0.12/0.34  cnf(matrix-12, plain, ( p3(X79, X79) )).
% 0.12/0.34  cnf(matrix-13, plain, ( p29(X72, X72) )).
% 0.12/0.34  cnf(matrix-14, plain, ( p27(X69, X69) )).
% 0.12/0.34  cnf(matrix-15, plain, ( p26(X66, X66) )).
% 0.12/0.34  cnf(matrix-16, plain, ( p24(X59, X59) )).
% 0.12/0.34  cnf(matrix-17, plain, ( p22(X52, X52) )).
% 0.12/0.34  cnf(matrix-18, plain, ( p21(X49, X49) )).
% 0.12/0.34  cnf(matrix-19, plain, ( p2(X46, X46) )).
% 0.12/0.34  cnf(matrix-20, plain, ( p19(X26, X26) )).
% 0.12/0.34  cnf(matrix-21, plain, ( p18(X23, X23) )).
% 0.12/0.34  cnf(matrix-22, plain, ( p16(X20, X20) )).
% 0.12/0.34  cnf(matrix-23, plain, ( p15(X17, X17) )).
% 0.12/0.34  cnf(matrix-24, plain, ( p13(X14, X14) )).
% 0.12/0.34  cnf(matrix-25, plain, ( p11(X3, X3) )).
% 0.12/0.34  cnf(matrix-26, plain, ( p44(c48, c49) )).
% 0.12/0.34  cnf(matrix-27, plain, ( p44(c50, c49) )).
% 0.12/0.34  cnf(matrix-28, plain, ( p46(f23(c58, c56), f20(c59, c60)) )).
% 0.12/0.34  cnf(matrix-29, plain, ( p44(f5(c51, f8(c52, c53)), c49) )).
% 0.12/0.34  cnf(matrix-30, plain, ( p45(f12(f14(c54, f17(c61, c49)), c56), c57) )).
% 0.12/0.34  cnf(matrix-31, plain, ( ~p45(f12(f14(c54, f17(c55, c49)), c56), c57) )).
% 0.12/0.34  cnf(matrix-32, plain, ( p10(X1, X2) | ~p10(X0, X2) | ~p10(X0, X1) )).
% 0.12/0.34  cnf(matrix-33, plain, ( p9(X157, X158) | ~p9(X156, X157) | ~p9(X156, X158) )).
% 0.12/0.34  cnf(matrix-34, plain, ( p7(X154, X155) | ~p7(X153, X154) | ~p7(X153, X155) )).
% 0.12/0.34  cnf(matrix-35, plain, ( p6(X151, X152) | ~p6(X150, X151) | ~p6(X150, X152) )).
% 0.12/0.34  cnf(matrix-36, plain, ( p42(X128, X129) | ~p42(X127, X128) | ~p42(X127, X129) )).
% 0.12/0.34  cnf(matrix-37, plain, ( p40(X125, X126) | ~p40(X124, X125) | ~p40(X124, X126) )).
% 0.12/0.34  cnf(matrix-38, plain, ( p4(X118, X119) | ~p4(X117, X118) | ~p4(X117, X119) )).
% 0.12/0.34  cnf(matrix-39, plain, ( p38(X111, X112) | ~p38(X110, X111) | ~p38(X110, X112) )).
% 0.12/0.34  cnf(matrix-40, plain, ( p36(X104, X105) | ~p36(X103, X104) | ~p36(X103, X105) )).
% 0.12/0.34  cnf(matrix-41, plain, ( p35(X97, X98) | ~p35(X96, X97) | ~p35(X96, X98) )).
% 0.12/0.34  cnf(matrix-42, plain, ( p32(X94, X95) | ~p32(X93, X94) | ~p32(X93, X95) )).
% 0.12/0.34  cnf(matrix-43, plain, ( p30(X87, X88) | ~p30(X86, X87) | ~p30(X86, X88) )).
% 0.12/0.34  cnf(matrix-44, plain, ( p3(X80, X81) | ~p3(X79, X80) | ~p3(X79, X81) )).
% 0.12/0.34  cnf(matrix-45, plain, ( p29(X73, X74) | ~p29(X72, X73) | ~p29(X72, X74) )).
% 0.12/0.34  cnf(matrix-46, plain, ( p27(X70, X71) | ~p27(X69, X70) | ~p27(X69, X71) )).
% 0.12/0.34  cnf(matrix-47, plain, ( p26(X67, X68) | ~p26(X66, X67) | ~p26(X66, X68) )).
% 0.12/0.34  cnf(matrix-48, plain, ( p24(X60, X61) | ~p24(X59, X60) | ~p24(X59, X61) )).
% 0.12/0.34  cnf(matrix-49, plain, ( p22(X53, X54) | ~p22(X52, X53) | ~p22(X52, X54) )).
% 0.12/0.34  cnf(matrix-50, plain, ( p21(X50, X51) | ~p21(X49, X50) | ~p21(X49, X51) )).
% 0.12/0.34  cnf(matrix-51, plain, ( p2(X47, X48) | ~p2(X46, X47) | ~p2(X46, X48) )).
% 0.12/0.34  cnf(matrix-52, plain, ( p19(X27, X28) | ~p19(X26, X27) | ~p19(X26, X28) )).
% 0.12/0.34  cnf(matrix-53, plain, ( p18(X24, X25) | ~p18(X23, X24) | ~p18(X23, X25) )).
% 0.12/0.34  cnf(matrix-54, plain, ( p16(X21, X22) | ~p16(X20, X21) | ~p16(X20, X22) )).
% 0.12/0.34  cnf(matrix-55, plain, ( p15(X18, X19) | ~p15(X17, X18) | ~p15(X17, X19) )).
% 0.12/0.34  cnf(matrix-56, plain, ( p13(X15, X16) | ~p13(X14, X15) | ~p13(X14, X16) )).
% 0.12/0.34  cnf(matrix-57, plain, ( p11(X4, X5) | ~p11(X3, X4) | ~p11(X3, X5) )).
% 0.12/0.34  cnf(matrix-58, plain, ( p19(f25(f28(c64, X33), f34(c66, X34)), f34(X33, X34)) )).
% 0.12/0.34  cnf(matrix-59, plain, ( p47(X142, X143) | ~p30(X145, X142) | ~p47(X145, X144) | ~p19(X144, X143) )).
% 0.12/0.34  cnf(matrix-60, plain, ( p44(X130, X131) | ~p4(X133, X130) | ~p44(X133, X132) | ~p16(X132, X131) )).
% 0.12/0.34  cnf(matrix-61, plain, ( p45(X134, X135) | ~p11(X137, X134) | ~p45(X137, X136) | ~p10(X136, X135) )).
% 0.12/0.34  cnf(matrix-62, plain, ( p46(X138, X139) | ~p22(X141, X138) | ~p46(X141, X140) | ~p11(X140, X139) )).
% 0.12/0.34  cnf(matrix-63, plain, ( ~p47(f31(f33(c62, c63), f34(c65, c56)), f25(f28(c64, c65), c60)) )).
% 0.12/0.34  cnf(matrix-64, plain, ( p11(f12(X6, X7), f12(X8, X9)) | ~p10(X7, X9) | ~p9(X6, X8) )).
% 0.12/0.34  cnf(matrix-65, plain, ( p9(f17(X163, X164), f17(X165, X166)) | ~p15(X163, X165) | ~p16(X164, X166) )).
% 0.12/0.34  cnf(matrix-66, plain, ( p9(f14(X159, X160), f14(X161, X162)) | ~p13(X159, X161) | ~p9(X160, X162) )).
% 0.12/0.34  cnf(matrix-67, plain, ( p4(f5(X120, X121), f5(X122, X123)) | ~p2(X120, X122) | ~p3(X121, X123) )).
% 0.12/0.34  cnf(matrix-68, plain, ( p38(f41(X113, X114), f41(X115, X116)) | ~p24(X114, X116) | ~p40(X113, X115) )).
% 0.12/0.34  cnf(matrix-69, plain, ( p36(f39(X106, X107), f39(X108, X109)) | ~p36(X107, X109) | ~p38(X106, X108) )).
% 0.12/0.34  cnf(matrix-70, plain, ( p35(f43(X99, X100), f43(X101, X102)) | ~p10(X100, X102) | ~p42(X99, X101) )).
% 0.12/0.34  cnf(matrix-71, plain, ( p30(f31(X89, X90), f31(X91, X92)) | ~p19(X90, X92) | ~p29(X89, X91) )).
% 0.12/0.34  cnf(matrix-72, plain, ( p3(f8(X82, X83), f8(X84, X85)) | ~p6(X82, X84) | ~p7(X83, X85) )).
% 0.12/0.34  cnf(matrix-73, plain, ( p29(f33(X75, X76), f33(X77, X78)) | ~p29(X76, X78) | ~p32(X75, X77) )).
% 0.12/0.34  cnf(matrix-74, plain, ( p24(f28(X62, X63), f28(X64, X65)) | ~p26(X62, X64) | ~p27(X63, X65) )).
% 0.12/0.34  cnf(matrix-75, plain, ( p22(f23(X55, X56), f23(X57, X58)) | ~p10(X56, X58) | ~p21(X55, X57) )).
% 0.12/0.34  cnf(matrix-76, plain, ( p19(f37(X42, X43), f37(X44, X45)) | ~p35(X42, X44) | ~p36(X43, X45) )).
% 0.12/0.34  cnf(matrix-77, plain, ( p19(f34(X38, X39), f34(X40, X41)) | ~p10(X39, X41) | ~p27(X38, X40) )).
% 0.12/0.34  cnf(matrix-78, plain, ( p19(f25(X29, X30), f25(X31, X32)) | ~p19(X30, X32) | ~p24(X29, X31) )).
% 0.12/0.34  cnf(matrix-79, plain, ( p11(f20(X10, X11), f20(X12, X13)) | ~p18(X10, X12) | ~p19(X11, X13) )).
% 0.12/0.34  cnf(matrix-80, plain, ( p47(f31(f33(c62, c63), f34(c66, X148)), X149) | ~p46(f23(c58, X148), f20(c59, X149)) )).
% 0.12/0.34  cnf(matrix-81, plain, ( p19(f25(f28(c64, X35), f37(f43(c67, X36), X37)), f37(f43(c67, X36), f39(f41(c68, f28(c64, X35)), X37))) )).
% 0.12/0.34  cnf(matrix-82, plain, ( p47(f31(f33(c62, c63), f25(f28(c64, c65), X146)), f25(f28(c64, c65), X147)) | ~p47(f31(f33(c62, c63), X146), X147) )).
% 0.12/0.34  
% 0.12/0.34  % Proof stack:
% 0.12/0.34  cnf(proof-stack, plain, 
% 0.12/0.34  proof_stack(
% 0.12/0.34  start(63), 
% 0.12/0.34  left_branch(0, 59, 0, 2), 
% 0.12/0.34  left_branch(0, 78, 0, 3), 
% 0.12/0.34  left_branch(0, 74, 0, 4), 
% 0.12/0.34  left_branch(0, 14, 0, 5), 
% 0.12/0.34  right_branch(5), 
% 0.12/0.34  left_branch(0, 15, 0, 6), 
% 0.12/0.34  right_branch(6), 
% 0.12/0.34  right_branch(4), 
% 0.12/0.34  left_branch(0, 52, 0, 5), 
% 0.12/0.34  left_branch(0, 20, 0, 6), 
% 0.12/0.34  right_branch(6), 
% 0.12/0.34  left_branch(0, 20, 0, 7), 
% 0.12/0.34  right_branch(7), 
% 0.12/0.34  right_branch(5), 
% 0.12/0.34  right_branch(3), 
% 0.12/0.34  left_branch(0, 82, 0, 4), 
% 0.12/0.34  left_branch(0, 80, 0, 5), 
% 0.12/0.34  left_branch(0, 28, 0, 6), 
% 0.12/0.34  right_branch(6), 
% 0.12/0.34  right_branch(5), 
% 0.12/0.34  right_branch(4), 
% 0.12/0.34  left_branch(0, 71, 0, 5), 
% 0.12/0.34  left_branch(0, 73, 0, 6), 
% 0.12/0.34  left_branch(0, 10, 0, 7), 
% 0.12/0.34  right_branch(7), 
% 0.12/0.34  left_branch(0, 13, 0, 8), 
% 0.12/0.34  right_branch(8), 
% 0.12/0.34  right_branch(6), 
% 0.12/0.34  left_branch(0, 58, 0, 7), 
% 0.12/0.34  right_branch(7), 
% 0.12/0.34  right_branch(5), 
% 0.12/0.34  right_branch(2)
% 0.12/0.34  )).
% 0.12/0.34  % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------