TSTP Solution File: SYN706-1 by ConnectPP---0.3.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ConnectPP---0.3.0
% Problem  : SYN706-1 : 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 : n008.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
% 0.06/0.12  % Problem  : SYN706-1 : TPTP v8.1.2. Released v2.5.0.
% 0.06/0.12  % Command  : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.12/0.33  % Computer : n008.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 23:13:43 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(X168, X168) )).
% 0.12/0.34  cnf(matrix-2, plain, ( p7(X159, X159) )).
% 0.12/0.34  cnf(matrix-3, plain, ( p6(X152, X152) )).
% 0.12/0.34  cnf(matrix-4, plain, ( p47(X143, X143) )).
% 0.12/0.34  cnf(matrix-5, plain, ( p43(X125, X125) )).
% 0.12/0.34  cnf(matrix-6, plain, ( p41(X118, X118) )).
% 0.12/0.34  cnf(matrix-7, plain, ( p4(X105, X105) )).
% 0.12/0.34  cnf(matrix-8, plain, ( p39(X102, X102) )).
% 0.12/0.34  cnf(matrix-9, plain, ( p37(X95, X95) )).
% 0.12/0.34  cnf(matrix-10, plain, ( p36(X88, X88) )).
% 0.12/0.34  cnf(matrix-11, plain, ( p33(X85, X85) )).
% 0.12/0.34  cnf(matrix-12, plain, ( p3(X78, X78) )).
% 0.12/0.34  cnf(matrix-13, plain, ( p29(X71, X71) )).
% 0.12/0.34  cnf(matrix-14, plain, ( p27(X64, X64) )).
% 0.12/0.34  cnf(matrix-15, plain, ( p26(X61, X61) )).
% 0.12/0.34  cnf(matrix-16, plain, ( p24(X54, X54) )).
% 0.12/0.34  cnf(matrix-17, plain, ( p22(X47, X47) )).
% 0.12/0.34  cnf(matrix-18, plain, ( p21(X44, X44) )).
% 0.12/0.34  cnf(matrix-19, plain, ( p2(X41, X41) )).
% 0.12/0.34  cnf(matrix-20, plain, ( p19(X34, X34) )).
% 0.12/0.34  cnf(matrix-21, plain, ( p18(X31, X31) )).
% 0.12/0.34  cnf(matrix-22, plain, ( p16(X24, X24) )).
% 0.12/0.34  cnf(matrix-23, plain, ( p15(X21, X21) )).
% 0.12/0.34  cnf(matrix-24, plain, ( p13(X14, X14) )).
% 0.12/0.34  cnf(matrix-25, plain, ( p12(X7, X7) )).
% 0.12/0.34  cnf(matrix-26, plain, ( p45(f20(c52, c50), c58) )).
% 0.12/0.34  cnf(matrix-27, plain, ( ~p4(f5(c49, c50), c51) )).
% 0.12/0.34  cnf(matrix-28, plain, ( ~p48(f38(f40(c59, c50), c58), c60) )).
% 0.12/0.34  cnf(matrix-29, plain, ( p10(X1, X2) | ~p10(X0, X1) | ~p10(X0, X2) )).
% 0.12/0.34  cnf(matrix-30, plain, ( p9(X169, X170) | ~p9(X168, X170) | ~p9(X168, X169) )).
% 0.12/0.34  cnf(matrix-31, plain, ( p7(X160, X161) | ~p7(X159, X160) | ~p7(X159, X161) )).
% 0.12/0.34  cnf(matrix-32, plain, ( p6(X153, X154) | ~p6(X152, X153) | ~p6(X152, X154) )).
% 0.12/0.34  cnf(matrix-33, plain, ( p47(X144, X145) | ~p47(X143, X144) | ~p47(X143, X145) )).
% 0.12/0.34  cnf(matrix-34, plain, ( p43(X126, X127) | ~p43(X125, X126) | ~p43(X125, X127) )).
% 0.12/0.34  cnf(matrix-35, plain, ( p41(X119, X120) | ~p41(X118, X119) | ~p41(X118, X120) )).
% 0.12/0.34  cnf(matrix-36, plain, ( p4(X106, X107) | ~p4(X105, X106) | ~p4(X105, X107) )).
% 0.12/0.34  cnf(matrix-37, plain, ( p39(X103, X104) | ~p39(X102, X103) | ~p39(X102, X104) )).
% 0.12/0.34  cnf(matrix-38, plain, ( p37(X96, X97) | ~p37(X95, X96) | ~p37(X95, X97) )).
% 0.12/0.34  cnf(matrix-39, plain, ( p36(X89, X90) | ~p36(X88, X89) | ~p36(X88, X90) )).
% 0.12/0.34  cnf(matrix-40, plain, ( p33(X86, X87) | ~p33(X85, X86) | ~p33(X85, X87) )).
% 0.12/0.34  cnf(matrix-41, plain, ( p3(X79, X80) | ~p3(X78, X79) | ~p3(X78, X80) )).
% 0.12/0.34  cnf(matrix-42, plain, ( p29(X72, X73) | ~p29(X71, X72) | ~p29(X71, X73) )).
% 0.12/0.34  cnf(matrix-43, plain, ( p27(X65, X66) | ~p27(X64, X65) | ~p27(X64, X66) )).
% 0.12/0.34  cnf(matrix-44, plain, ( p26(X62, X63) | ~p26(X61, X62) | ~p26(X61, X63) )).
% 0.12/0.34  cnf(matrix-45, plain, ( p24(X55, X56) | ~p24(X54, X55) | ~p24(X54, X56) )).
% 0.12/0.34  cnf(matrix-46, plain, ( p22(X48, X49) | ~p22(X47, X48) | ~p22(X47, X49) )).
% 0.12/0.34  cnf(matrix-47, plain, ( p21(X45, X46) | ~p21(X44, X45) | ~p21(X44, X46) )).
% 0.12/0.34  cnf(matrix-48, plain, ( p2(X42, X43) | ~p2(X41, X42) | ~p2(X41, X43) )).
% 0.12/0.34  cnf(matrix-49, plain, ( p19(X35, X36) | ~p19(X34, X35) | ~p19(X34, X36) )).
% 0.12/0.34  cnf(matrix-50, plain, ( p18(X32, X33) | ~p18(X31, X32) | ~p18(X31, X33) )).
% 0.12/0.34  cnf(matrix-51, plain, ( p16(X25, X26) | ~p16(X24, X25) | ~p16(X24, X26) )).
% 0.12/0.34  cnf(matrix-52, plain, ( p15(X22, X23) | ~p15(X21, X22) | ~p15(X21, X23) )).
% 0.12/0.34  cnf(matrix-53, plain, ( p13(X15, X16) | ~p13(X14, X15) | ~p13(X14, X16) )).
% 0.12/0.34  cnf(matrix-54, plain, ( p12(X8, X9) | ~p12(X7, X8) | ~p12(X7, X9) )).
% 0.12/0.34  cnf(matrix-55, plain, ( p45(X128, X129) | ~p45(X130, X131) | ~p7(X131, X129) | ~p19(X130, X128) )).
% 0.12/0.34  cnf(matrix-56, plain, ( p48(X146, X147) | ~p47(X149, X147) | ~p48(X148, X149) | ~p37(X148, X146) )).
% 0.12/0.34  cnf(matrix-57, plain, ( p46(X138, X139) | ~p4(X141, X139) | ~p46(X140, X141) | ~p22(X140, X138) )).
% 0.12/0.34  cnf(matrix-58, plain, ( p7(f8(f11(c54, f14(f17(c55, X166), f35(X167, X166))), X167), X167) )).
% 0.12/0.34  cnf(matrix-59, plain, ( p4(f25(f28(c56, f31(f34(c57, X112), f32(X113, X112))), X113), X113) )).
% 0.12/0.34  cnf(matrix-60, plain, ( p10(f14(X3, X4), f14(X5, X6)) | ~p12(X3, X5) | ~p13(X4, X6) )).
% 0.12/0.34  cnf(matrix-61, plain, ( p7(f8(X162, X163), f8(X164, X165)) | ~p6(X162, X164) | ~p7(X163, X165) )).
% 0.12/0.34  cnf(matrix-62, plain, ( p6(f11(X155, X156), f11(X157, X158)) | ~p10(X156, X158) | ~p9(X155, X157) )).
% 0.12/0.34  cnf(matrix-63, plain, ( p41(f44(X121, X122), f44(X123, X124)) | ~p43(X121, X123) | ~p7(X122, X124) )).
% 0.12/0.34  cnf(matrix-64, plain, ( p4(f5(X114, X115), f5(X116, X117)) | ~p2(X114, X116) | ~p3(X115, X117) )).
% 0.12/0.34  cnf(matrix-65, plain, ( p4(f25(X108, X109), f25(X110, X111)) | ~p24(X108, X110) | ~p4(X109, X111) )).
% 0.12/0.34  cnf(matrix-66, plain, ( p37(f38(X98, X99), f38(X100, X101)) | ~p36(X98, X100) | ~p7(X99, X101) )).
% 0.12/0.34  cnf(matrix-67, plain, ( p36(f40(X91, X92), f40(X93, X94)) | ~p3(X92, X94) | ~p39(X91, X93) )).
% 0.12/0.34  cnf(matrix-68, plain, ( p30(f32(X81, X82), f32(X83, X84)) | ~p13(X82, X84) | ~p4(X81, X83) )).
% 0.12/0.34  cnf(matrix-69, plain, ( p29(f34(X74, X75), f34(X76, X77)) | ~p13(X75, X77) | ~p33(X74, X76) )).
% 0.12/0.34  cnf(matrix-70, plain, ( p27(f31(X67, X68), f31(X69, X70)) | ~p29(X67, X69) | ~p30(X68, X70) )).
% 0.12/0.34  cnf(matrix-71, plain, ( p24(f28(X57, X58), f28(X59, X60)) | ~p26(X57, X59) | ~p27(X58, X60) )).
% 0.12/0.34  cnf(matrix-72, plain, ( p22(f23(X50, X51), f23(X52, X53)) | ~p13(X51, X53) | ~p21(X50, X52) )).
% 0.12/0.34  cnf(matrix-73, plain, ( p19(f20(X37, X38), f20(X39, X40)) | ~p18(X37, X39) | ~p3(X38, X40) )).
% 0.12/0.34  cnf(matrix-74, plain, ( p16(f42(X27, X28), f42(X29, X30)) | ~p3(X28, X30) | ~p41(X27, X29) )).
% 0.12/0.34  cnf(matrix-75, plain, ( p13(f35(X17, X18), f35(X19, X20)) | ~p16(X18, X20) | ~p7(X17, X19) )).
% 0.12/0.34  cnf(matrix-76, plain, ( p12(f17(X10, X11), f17(X12, X13)) | ~p15(X10, X12) | ~p16(X11, X13) )).
% 0.12/0.34  cnf(matrix-77, plain, ( p46(f23(c53, f35(X137, X142)), f5(c49, X136)) | ~p45(f20(c52, X136), X137) )).
% 0.12/0.34  cnf(matrix-78, plain, ( p45(f20(c52, X136), X137) | ~p46(f23(c53, f35(X137, f42(f44(c62, X137), X136))), f5(c49, X136)) )).
% 0.12/0.34  cnf(matrix-79, plain, ( p45(f20(c52, X132), f8(f11(c54, f14(f17(c55, X133), X134)), X135)) | ~p45(f20(c52, X132), X135) | ~p46(f23(c53, X134), f5(c49, X132)) )).
% 0.12/0.34  cnf(matrix-80, plain, ( p48(f38(f40(c59, c50), f8(f11(c54, f14(f17(c55, c61), X150)), X151)), c60) | ~p45(f20(c52, c50), X151) | ~p46(f23(c53, X150), f5(c49, c50)) )).
% 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(28), 
% 0.12/0.34  left_branch(0, 56, 0, 2), 
% 0.12/0.34  left_branch(0, 66, 0, 3), 
% 0.12/0.34  left_branch(0, 58, 0, 4), 
% 0.12/0.34  right_branch(4), 
% 0.12/0.34  left_branch(0, 67, 0, 5), 
% 0.12/0.34  left_branch(0, 8, 0, 6), 
% 0.12/0.34  right_branch(6), 
% 0.12/0.34  left_branch(0, 12, 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, 80, 0, 4), 
% 0.12/0.34  left_branch(0, 77, 0, 5), 
% 0.12/0.34  left_branch(0, 26, 0, 6), 
% 0.12/0.34  right_branch(6), 
% 0.12/0.34  right_branch(5), 
% 0.12/0.34  left_branch(0, 26, 0, 6), 
% 0.12/0.34  right_branch(6), 
% 0.12/0.34  right_branch(4), 
% 0.12/0.34  left_branch(0, 4, 0, 5), 
% 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
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