TSTP Solution File: SYN705-1 by ConnectPP---0.3.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ConnectPP---0.3.0
% Problem  : SYN705-1 : 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 : n018.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 14:43:25 EDT 2024

% Result   : Unsatisfiable 0.14s 0.37s
% Output   : Proof 0.14s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SYN705-1 : TPTP v8.1.2. Released v2.5.0.
% 0.06/0.13  % Command  : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.14/0.33  % Computer : n018.cluster.edu
% 0.14/0.33  % Model    : x86_64 x86_64
% 0.14/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33  % Memory   : 8042.1875MB
% 0.14/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Wed Mar 20 23:14:59 EDT 2024
% 0.14/0.34  % CPUTime  : 
% 0.14/0.37  % SZS status Unsatisfiable for theBenchmark
% 0.14/0.37  % SZS output start Proof for theBenchmark
% 0.14/0.37  
% 0.14/0.37  % Problem matrix:
% 0.14/0.37  cnf(matrix-0, plain, ( p11(X0, X0) )).
% 0.14/0.37  cnf(matrix-1, plain, ( p9(X167, X167) )).
% 0.14/0.37  cnf(matrix-2, plain, ( p7(X162, X162) )).
% 0.14/0.37  cnf(matrix-3, plain, ( p6(X155, X155) )).
% 0.14/0.37  cnf(matrix-4, plain, ( p45(X144, X144) )).
% 0.14/0.37  cnf(matrix-5, plain, ( p43(X137, X137) )).
% 0.14/0.37  cnf(matrix-6, plain, ( p41(X130, X130) )).
% 0.14/0.37  cnf(matrix-7, plain, ( p4(X119, X119) )).
% 0.14/0.37  cnf(matrix-8, plain, ( p39(X112, X112) )).
% 0.14/0.37  cnf(matrix-9, plain, ( p37(X105, X105) )).
% 0.14/0.37  cnf(matrix-10, plain, ( p35(X102, X102) )).
% 0.14/0.37  cnf(matrix-11, plain, ( p33(X95, X95) )).
% 0.14/0.37  cnf(matrix-12, plain, ( p31(X88, X88) )).
% 0.14/0.37  cnf(matrix-13, plain, ( p3(X77, X77) )).
% 0.14/0.37  cnf(matrix-14, plain, ( p29(X70, X70) )).
% 0.14/0.37  cnf(matrix-15, plain, ( p27(X58, X58) )).
% 0.14/0.37  cnf(matrix-16, plain, ( p25(X55, X55) )).
% 0.14/0.37  cnf(matrix-17, plain, ( p23(X48, X48) )).
% 0.14/0.37  cnf(matrix-18, plain, ( p21(X41, X41) )).
% 0.14/0.37  cnf(matrix-19, plain, ( p2(X38, X38) )).
% 0.14/0.37  cnf(matrix-20, plain, ( p19(X31, X31) )).
% 0.14/0.37  cnf(matrix-21, plain, ( p17(X28, X28) )).
% 0.14/0.37  cnf(matrix-22, plain, ( p15(X21, X21) )).
% 0.14/0.37  cnf(matrix-23, plain, ( p14(X14, X14) )).
% 0.14/0.37  cnf(matrix-24, plain, ( p12(X7, X7) )).
% 0.14/0.37  cnf(matrix-25, plain, ( p11(X1, X2) | ~p11(X0, X1) | ~p11(X0, X2) )).
% 0.14/0.37  cnf(matrix-26, plain, ( p9(X165, X166) | ~p9(X167, X165) | ~p9(X167, X166) )).
% 0.14/0.37  cnf(matrix-27, plain, ( p7(X163, X164) | ~p7(X162, X163) | ~p7(X162, X164) )).
% 0.14/0.37  cnf(matrix-28, plain, ( p6(X156, X157) | ~p6(X155, X156) | ~p6(X155, X157) )).
% 0.14/0.37  cnf(matrix-29, plain, ( p45(X145, X146) | ~p45(X144, X145) | ~p45(X144, X146) )).
% 0.14/0.37  cnf(matrix-30, plain, ( p43(X138, X139) | ~p43(X137, X138) | ~p43(X137, X139) )).
% 0.14/0.37  cnf(matrix-31, plain, ( p41(X131, X132) | ~p41(X130, X131) | ~p41(X130, X132) )).
% 0.14/0.37  cnf(matrix-32, plain, ( p4(X120, X121) | ~p4(X119, X120) | ~p4(X119, X121) )).
% 0.14/0.37  cnf(matrix-33, plain, ( p39(X113, X114) | ~p39(X112, X113) | ~p39(X112, X114) )).
% 0.14/0.37  cnf(matrix-34, plain, ( p37(X106, X107) | ~p37(X105, X106) | ~p37(X105, X107) )).
% 0.14/0.37  cnf(matrix-35, plain, ( p35(X103, X104) | ~p35(X102, X103) | ~p35(X102, X104) )).
% 0.14/0.37  cnf(matrix-36, plain, ( p33(X96, X97) | ~p33(X95, X96) | ~p33(X95, X97) )).
% 0.14/0.37  cnf(matrix-37, plain, ( p31(X89, X90) | ~p31(X88, X89) | ~p31(X88, X90) )).
% 0.14/0.37  cnf(matrix-38, plain, ( p3(X78, X79) | ~p3(X77, X78) | ~p3(X77, X79) )).
% 0.14/0.37  cnf(matrix-39, plain, ( p29(X71, X72) | ~p29(X70, X71) | ~p29(X70, X72) )).
% 0.14/0.37  cnf(matrix-40, plain, ( p27(X59, X60) | ~p27(X58, X59) | ~p27(X58, X60) )).
% 0.14/0.37  cnf(matrix-41, plain, ( p25(X56, X57) | ~p25(X55, X56) | ~p25(X55, X57) )).
% 0.14/0.37  cnf(matrix-42, plain, ( p23(X49, X50) | ~p23(X48, X49) | ~p23(X48, X50) )).
% 0.14/0.37  cnf(matrix-43, plain, ( p21(X42, X43) | ~p21(X41, X42) | ~p21(X41, X43) )).
% 0.14/0.37  cnf(matrix-44, plain, ( p2(X39, X40) | ~p2(X38, X39) | ~p2(X38, X40) )).
% 0.14/0.37  cnf(matrix-45, plain, ( p19(X32, X33) | ~p19(X31, X32) | ~p19(X31, X33) )).
% 0.14/0.37  cnf(matrix-46, plain, ( p17(X29, X30) | ~p17(X28, X29) | ~p17(X28, X30) )).
% 0.14/0.37  cnf(matrix-47, plain, ( p15(X22, X23) | ~p15(X21, X22) | ~p15(X21, X23) )).
% 0.14/0.37  cnf(matrix-48, plain, ( p14(X15, X16) | ~p14(X14, X15) | ~p14(X14, X16) )).
% 0.14/0.37  cnf(matrix-49, plain, ( p12(X8, X9) | ~p12(X7, X8) | ~p12(X7, X9) )).
% 0.14/0.37  cnf(matrix-50, plain, ( ~p47(f5(c48, f13(f16(f18(c50, c51), c52), c53)), c55) )).
% 0.14/0.37  cnf(matrix-51, plain, ( ~p47(f20(f22(f24(f26(c56, X65), X66), X67), X68), X68) )).
% 0.14/0.37  cnf(matrix-52, plain, ( p47(X151, X152) | ~p47(X153, X154) | ~p7(X154, X152) | ~p4(X153, X151) )).
% 0.14/0.37  cnf(matrix-53, plain, ( p11(f16(X3, X4), f16(X5, X6)) | ~p14(X3, X5) | ~p15(X4, X6) )).
% 0.14/0.37  cnf(matrix-54, plain, ( p6(f10(X158, X159), f10(X160, X161)) | ~p3(X159, X161) | ~p9(X158, X160) )).
% 0.14/0.37  cnf(matrix-55, plain, ( p43(f46(X140, X141), f46(X142, X143)) | ~p4(X141, X143) | ~p45(X140, X142) )).
% 0.14/0.37  cnf(matrix-56, plain, ( p41(f44(X133, X134), f44(X135, X136)) | ~p15(X134, X136) | ~p43(X133, X135) )).
% 0.14/0.37  cnf(matrix-57, plain, ( p4(f5(X126, X127), f5(X128, X129)) | ~p2(X126, X128) | ~p3(X127, X129) )).
% 0.14/0.37  cnf(matrix-58, plain, ( p4(f20(X122, X123), f20(X124, X125)) | ~p19(X122, X124) | ~p7(X123, X125) )).
% 0.14/0.37  cnf(matrix-59, plain, ( p39(f42(X115, X116), f42(X117, X118)) | ~p12(X116, X118) | ~p41(X115, X117) )).
% 0.14/0.37  cnf(matrix-60, plain, ( p37(f38(X108, X109), f38(X110, X111)) | ~p12(X108, X110) | ~p7(X109, X111) )).
% 0.14/0.37  cnf(matrix-61, plain, ( p33(f36(X98, X99), f36(X100, X101)) | ~p35(X98, X100) | ~p4(X99, X101) )).
% 0.14/0.37  cnf(matrix-62, plain, ( p31(f34(X91, X92), f34(X93, X94)) | ~p15(X92, X94) | ~p33(X91, X93) )).
% 0.14/0.37  cnf(matrix-63, plain, ( p3(f8(X84, X85), f8(X86, X87)) | ~p6(X84, X86) | ~p7(X85, X87) )).
% 0.14/0.37  cnf(matrix-64, plain, ( p3(f13(X80, X81), f13(X82, X83)) | ~p11(X80, X82) | ~p12(X81, X83) )).
% 0.14/0.37  cnf(matrix-65, plain, ( p29(f32(X73, X74), f32(X75, X76)) | ~p12(X74, X76) | ~p31(X73, X75) )).
% 0.14/0.37  cnf(matrix-66, plain, ( p27(f28(X61, X62), f28(X63, X64)) | ~p15(X61, X63) | ~p7(X62, X64) )).
% 0.14/0.37  cnf(matrix-67, plain, ( p23(f26(X51, X52), f26(X53, X54)) | ~p25(X51, X53) | ~p4(X52, X54) )).
% 0.14/0.37  cnf(matrix-68, plain, ( p21(f24(X44, X45), f24(X46, X47)) | ~p15(X45, X47) | ~p23(X44, X46) )).
% 0.14/0.37  cnf(matrix-69, plain, ( p19(f22(X34, X35), f22(X36, X37)) | ~p12(X35, X37) | ~p21(X34, X36) )).
% 0.14/0.37  cnf(matrix-70, plain, ( p15(f30(X24, X25), f30(X26, X27)) | ~p29(X24, X26) | ~p7(X25, X27) )).
% 0.14/0.37  cnf(matrix-71, plain, ( p14(f18(X17, X18), f18(X19, X20)) | ~p17(X17, X19) | ~p4(X18, X20) )).
% 0.14/0.37  cnf(matrix-72, plain, ( p12(f40(X10, X11), f40(X12, X13)) | ~p39(X10, X12) | ~p7(X11, X13) )).
% 0.14/0.37  cnf(matrix-73, plain, ( p47(X147, X148) | ~p47(f5(c48, f13(f16(f18(c50, X147), X149), X150)), X148) )).
% 0.14/0.37  cnf(matrix-74, plain, ( p47(X65, X69) | ~p47(f20(f22(f24(f26(c56, X65), X66), X67), X68), X69) )).
% 0.14/0.37  cnf(matrix-75, plain, ( p47(f5(c48, f13(f16(f18(c50, X147), X149), X150)), X148) | ~p47(X147, X148) )).
% 0.14/0.37  cnf(matrix-76, plain, ( p47(f5(c48, f8(f10(c49, f13(f16(f18(c50, c51), c52), c53)), c54)), c55) )).
% 0.14/0.37  cnf(matrix-77, plain, ( p27(f28(f30(f32(f34(f36(c57, X65), X66), X67), X68), X69), f28(X66, X69)) | ~p47(f20(f22(f24(f26(c56, X65), X66), X67), X68), X69) )).
% 0.14/0.37  cnf(matrix-78, plain, ( p37(f38(f40(f42(f44(f46(c58, X65), X66), X67), X68), X69), f38(X67, X69)) | ~p47(f20(f22(f24(f26(c56, X65), X66), X67), X68), X69) )).
% 0.14/0.37  cnf(matrix-79, plain, ( p3(f8(f10(c49, f13(f16(f18(c50, X65), X66), X67)), X68), f13(f16(f18(c50, f20(f22(f24(f26(c56, X65), X66), X67), X68)), f30(f32(f34(f36(c57, X65), X66), X67), X68)), f40(f42(f44(f46(c58, X65), X66), X67), X68))) )).
% 0.14/0.37  
% 0.14/0.37  % Proof stack:
% 0.14/0.37  cnf(proof-stack, plain, 
% 0.14/0.37  proof_stack(
% 0.14/0.37  start(50), 
% 0.14/0.37  left_branch(0, 75, 0, 2), 
% 0.14/0.37  left_branch(0, 74, 0, 3), 
% 0.14/0.37  left_branch(0, 73, 0, 4), 
% 0.14/0.37  left_branch(0, 52, 0, 5), 
% 0.14/0.37  left_branch(0, 57, 0, 6), 
% 0.14/0.37  left_branch(0, 79, 0, 7), 
% 0.14/0.37  right_branch(7), 
% 0.14/0.37  left_branch(0, 19, 0, 8), 
% 0.14/0.37  right_branch(8), 
% 0.14/0.37  right_branch(6), 
% 0.14/0.37  left_branch(0, 27, 0, 7), 
% 0.14/0.37  left_branch(0, 2, 0, 8), 
% 0.14/0.37  right_branch(8), 
% 0.14/0.37  left_branch(0, 2, 0, 9), 
% 0.14/0.37  right_branch(9), 
% 0.14/0.37  right_branch(7), 
% 0.14/0.37  left_branch(0, 76, 0, 8), 
% 0.14/0.37  right_branch(8), 
% 0.14/0.37  right_branch(5), 
% 0.14/0.37  right_branch(4), 
% 0.14/0.37  right_branch(3), 
% 0.14/0.37  right_branch(2)
% 0.14/0.37  )).
% 0.14/0.37  % SZS output end Proof for theBenchmark
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