TSTP Solution File: SYN719-1 by ConnectPP---0.3.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ConnectPP---0.3.0
% Problem  : SYN719-1 : 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 : n003.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 14:43:27 EDT 2024

% Result   : Unsatisfiable 0.13s 0.36s
% Output   : Proof 0.13s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SYN719-1 : TPTP v8.1.2. Released v2.5.0.
% 0.07/0.13  % Command  : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.13/0.33  % Computer : n003.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
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Wed Mar 20 22:49:49 EDT 2024
% 0.13/0.34  % CPUTime  : 
% 0.13/0.36  % SZS status Unsatisfiable for theBenchmark
% 0.13/0.36  % SZS output start Proof for theBenchmark
% 0.13/0.36  
% 0.13/0.36  % Problem matrix:
% 0.13/0.36  cnf(matrix-0, plain, ( p10(X0, X0) )).
% 0.13/0.36  cnf(matrix-1, plain, ( p9(X261, X261) )).
% 0.13/0.36  cnf(matrix-2, plain, ( p7(X231, X231) )).
% 0.13/0.36  cnf(matrix-3, plain, ( p63(X200, X200) )).
% 0.13/0.36  cnf(matrix-4, plain, ( p61(X197, X197) )).
% 0.13/0.36  cnf(matrix-5, plain, ( p6(X194, X194) )).
% 0.13/0.36  cnf(matrix-6, plain, ( p59(X187, X187) )).
% 0.13/0.36  cnf(matrix-7, plain, ( p57(X180, X180) )).
% 0.13/0.36  cnf(matrix-8, plain, ( p56(X173, X173) )).
% 0.13/0.36  cnf(matrix-9, plain, ( p55(X170, X170) )).
% 0.13/0.36  cnf(matrix-10, plain, ( p53(X163, X163) )).
% 0.13/0.36  cnf(matrix-11, plain, ( p52(X160, X160) )).
% 0.13/0.36  cnf(matrix-12, plain, ( p50(X157, X157) )).
% 0.13/0.36  cnf(matrix-13, plain, ( p48(X154, X154) )).
% 0.13/0.36  cnf(matrix-14, plain, ( p47(X147, X147) )).
% 0.13/0.36  cnf(matrix-15, plain, ( p45(X144, X144) )).
% 0.13/0.36  cnf(matrix-16, plain, ( p43(X137, X137) )).
% 0.13/0.36  cnf(matrix-17, plain, ( p41(X130, X130) )).
% 0.13/0.36  cnf(matrix-18, plain, ( p4(X123, X123) )).
% 0.13/0.36  cnf(matrix-19, plain, ( p39(X116, X116) )).
% 0.13/0.36  cnf(matrix-20, plain, ( p37(X105, X105) )).
% 0.13/0.36  cnf(matrix-21, plain, ( p35(X98, X98) )).
% 0.13/0.36  cnf(matrix-22, plain, ( p34(X87, X87) )).
% 0.13/0.36  cnf(matrix-23, plain, ( p33(X84, X84) )).
% 0.13/0.36  cnf(matrix-24, plain, ( p31(X81, X81) )).
% 0.13/0.36  cnf(matrix-25, plain, ( p3(X74, X74) )).
% 0.13/0.36  cnf(matrix-26, plain, ( p29(X67, X67) )).
% 0.13/0.36  cnf(matrix-27, plain, ( p28(X60, X60) )).
% 0.13/0.36  cnf(matrix-28, plain, ( p27(X57, X57) )).
% 0.13/0.36  cnf(matrix-29, plain, ( p25(X54, X54) )).
% 0.13/0.36  cnf(matrix-30, plain, ( p24(X51, X51) )).
% 0.13/0.36  cnf(matrix-31, plain, ( p22(X44, X44) )).
% 0.13/0.36  cnf(matrix-32, plain, ( p20(X41, X41) )).
% 0.13/0.36  cnf(matrix-33, plain, ( p2(X38, X38) )).
% 0.13/0.36  cnf(matrix-34, plain, ( p18(X35, X35) )).
% 0.13/0.36  cnf(matrix-35, plain, ( p17(X28, X28) )).
% 0.13/0.36  cnf(matrix-36, plain, ( p15(X21, X21) )).
% 0.13/0.36  cnf(matrix-37, plain, ( p14(X13, X13) )).
% 0.13/0.36  cnf(matrix-38, plain, ( p13(X10, X10) )).
% 0.13/0.36  cnf(matrix-39, plain, ( p11(X3, X3) )).
% 0.13/0.36  cnf(matrix-40, plain, ( p66(f12(c78, c77), c79) )).
% 0.13/0.36  cnf(matrix-41, plain, ( p67(f16(c80, c81), c82) )).
% 0.13/0.36  cnf(matrix-42, plain, ( p70(f30(c88, X242), f38(c85, X243)) )).
% 0.13/0.36  cnf(matrix-43, plain, ( p65(f5(c74, f8(c75, c76)), c77) )).
% 0.13/0.36  cnf(matrix-44, plain, ( p14(f23(f26(c84, c85), X20), X20) )).
% 0.13/0.36  cnf(matrix-45, plain, ( ~p68(f19(f21(c83, c77), c79), c81) )).
% 0.13/0.36  cnf(matrix-46, plain, ( p73(X256, X255) | ~p72(f58(c90, X255), X256) )).
% 0.13/0.36  cnf(matrix-47, plain, ( p68(X216, X215) | ~p67(f16(c80, X215), X216) )).
% 0.13/0.36  cnf(matrix-48, plain, ( p70(X230, X229) | ~p69(f36(c86, X229), X230) )).
% 0.13/0.36  cnf(matrix-49, plain, ( p67(f16(c80, X215), X216) | ~p68(X216, X215) )).
% 0.13/0.36  cnf(matrix-50, plain, ( p72(f58(c90, X255), X256) | ~p73(X256, X255) )).
% 0.13/0.36  cnf(matrix-51, plain, ( p69(f36(c86, X229), X230) | ~p70(X230, X229) )).
% 0.13/0.36  cnf(matrix-52, plain, ( p10(X1, X2) | ~p10(X0, X1) | ~p10(X0, X2) )).
% 0.13/0.36  cnf(matrix-53, plain, ( p9(X262, X263) | ~p9(X261, X262) | ~p9(X261, X263) )).
% 0.13/0.36  cnf(matrix-54, plain, ( p7(X232, X233) | ~p7(X231, X232) | ~p7(X231, X233) )).
% 0.13/0.36  cnf(matrix-55, plain, ( p63(X201, X202) | ~p63(X200, X201) | ~p63(X200, X202) )).
% 0.13/0.36  cnf(matrix-56, plain, ( p61(X198, X199) | ~p61(X197, X198) | ~p61(X197, X199) )).
% 0.13/0.36  cnf(matrix-57, plain, ( p6(X195, X196) | ~p6(X194, X195) | ~p6(X194, X196) )).
% 0.13/0.36  cnf(matrix-58, plain, ( p59(X188, X189) | ~p59(X187, X188) | ~p59(X187, X189) )).
% 0.13/0.36  cnf(matrix-59, plain, ( p57(X181, X182) | ~p57(X180, X181) | ~p57(X180, X182) )).
% 0.13/0.36  cnf(matrix-60, plain, ( p56(X174, X175) | ~p56(X173, X174) | ~p56(X173, X175) )).
% 0.13/0.36  cnf(matrix-61, plain, ( p55(X171, X172) | ~p55(X170, X171) | ~p55(X170, X172) )).
% 0.13/0.36  cnf(matrix-62, plain, ( p53(X164, X165) | ~p53(X163, X164) | ~p53(X163, X165) )).
% 0.13/0.36  cnf(matrix-63, plain, ( p52(X161, X162) | ~p52(X160, X161) | ~p52(X160, X162) )).
% 0.13/0.36  cnf(matrix-64, plain, ( p50(X158, X159) | ~p50(X157, X158) | ~p50(X157, X159) )).
% 0.13/0.36  cnf(matrix-65, plain, ( p48(X155, X156) | ~p48(X154, X155) | ~p48(X154, X156) )).
% 0.13/0.36  cnf(matrix-66, plain, ( p47(X148, X149) | ~p47(X147, X148) | ~p47(X147, X149) )).
% 0.13/0.36  cnf(matrix-67, plain, ( p45(X145, X146) | ~p45(X144, X145) | ~p45(X144, X146) )).
% 0.13/0.36  cnf(matrix-68, plain, ( p43(X138, X139) | ~p43(X137, X138) | ~p43(X137, X139) )).
% 0.13/0.36  cnf(matrix-69, plain, ( p41(X131, X132) | ~p41(X130, X131) | ~p41(X130, X132) )).
% 0.13/0.36  cnf(matrix-70, plain, ( p4(X124, X125) | ~p4(X123, X124) | ~p4(X123, X125) )).
% 0.13/0.36  cnf(matrix-71, plain, ( p39(X117, X118) | ~p39(X116, X117) | ~p39(X116, X118) )).
% 0.13/0.36  cnf(matrix-72, plain, ( p37(X106, X107) | ~p37(X105, X106) | ~p37(X105, X107) )).
% 0.13/0.36  cnf(matrix-73, plain, ( p35(X99, X100) | ~p35(X98, X99) | ~p35(X98, X100) )).
% 0.13/0.36  cnf(matrix-74, plain, ( p34(X88, X89) | ~p34(X87, X88) | ~p34(X87, X89) )).
% 0.13/0.36  cnf(matrix-75, plain, ( p33(X85, X86) | ~p33(X84, X85) | ~p33(X84, X86) )).
% 0.13/0.36  cnf(matrix-76, plain, ( p31(X82, X83) | ~p31(X81, X82) | ~p31(X81, X83) )).
% 0.13/0.36  cnf(matrix-77, plain, ( p3(X75, X76) | ~p3(X74, X75) | ~p3(X74, X76) )).
% 0.13/0.36  cnf(matrix-78, plain, ( p29(X68, X69) | ~p29(X67, X68) | ~p29(X67, X69) )).
% 0.13/0.36  cnf(matrix-79, plain, ( p28(X61, X62) | ~p28(X60, X61) | ~p28(X60, X62) )).
% 0.13/0.36  cnf(matrix-80, plain, ( p27(X58, X59) | ~p27(X57, X58) | ~p27(X57, X59) )).
% 0.13/0.36  cnf(matrix-81, plain, ( p25(X55, X56) | ~p25(X54, X55) | ~p25(X54, X56) )).
% 0.13/0.36  cnf(matrix-82, plain, ( p24(X52, X53) | ~p24(X51, X52) | ~p24(X51, X53) )).
% 0.13/0.36  cnf(matrix-83, plain, ( p22(X45, X46) | ~p22(X44, X45) | ~p22(X44, X46) )).
% 0.13/0.36  cnf(matrix-84, plain, ( p20(X42, X43) | ~p20(X41, X42) | ~p20(X41, X43) )).
% 0.13/0.36  cnf(matrix-85, plain, ( p2(X39, X40) | ~p2(X38, X39) | ~p2(X38, X40) )).
% 0.13/0.36  cnf(matrix-86, plain, ( p18(X36, X37) | ~p18(X35, X36) | ~p18(X35, X37) )).
% 0.13/0.36  cnf(matrix-87, plain, ( p17(X29, X30) | ~p17(X28, X29) | ~p17(X28, X30) )).
% 0.13/0.36  cnf(matrix-88, plain, ( p15(X22, X23) | ~p15(X21, X22) | ~p15(X21, X23) )).
% 0.13/0.36  cnf(matrix-89, plain, ( p14(X14, X15) | ~p14(X13, X14) | ~p14(X13, X15) )).
% 0.13/0.36  cnf(matrix-90, plain, ( p13(X11, X12) | ~p13(X10, X11) | ~p13(X10, X12) )).
% 0.13/0.36  cnf(matrix-91, plain, ( p11(X4, X5) | ~p11(X3, X4) | ~p11(X3, X5) )).
% 0.13/0.36  cnf(matrix-92, plain, ( p73(X257, X258) | ~p56(X260, X258) | ~p73(X259, X260) | ~p28(X259, X257) )).
% 0.13/0.36  cnf(matrix-93, plain, ( p65(X203, X204) | ~p4(X206, X203) | ~p65(X206, X205) | ~p10(X205, X204) )).
% 0.13/0.36  cnf(matrix-94, plain, ( p66(X207, X208) | ~p18(X210, X208) | ~p66(X209, X210) | ~p11(X209, X207) )).
% 0.13/0.36  cnf(matrix-95, plain, ( p67(X211, X212) | ~p67(X213, X214) | ~p7(X214, X212) | ~p15(X213, X211) )).
% 0.13/0.36  cnf(matrix-96, plain, ( p68(X217, X218) | ~p68(X220, X219) | ~p7(X220, X217) | ~p14(X219, X218) )).
% 0.13/0.36  cnf(matrix-97, plain, ( p69(X225, X226) | ~p35(X228, X225) | ~p69(X228, X227) | ~p29(X227, X226) )).
% 0.13/0.36  cnf(matrix-98, plain, ( p70(X238, X239) | ~p34(X241, X239) | ~p70(X240, X241) | ~p29(X240, X238) )).
% 0.13/0.36  cnf(matrix-99, plain, ( p71(X247, X248) | ~p53(X250, X247) | ~p71(X250, X249) | ~p48(X249, X248) )).
% 0.13/0.36  cnf(matrix-100, plain, ( p72(X251, X252) | ~p57(X254, X251) | ~p72(X254, X253) | ~p28(X253, X252) )).
% 0.13/0.36  cnf(matrix-101, plain, ( p11(f12(X6, X7), f12(X8, X9)) | ~p10(X7, X9) | ~p9(X6, X8) )).
% 0.13/0.36  cnf(matrix-102, plain, ( p7(f19(X234, X235), f19(X236, X237)) | ~p17(X234, X236) | ~p18(X235, X237) )).
% 0.13/0.36  cnf(matrix-103, plain, ( p59(f64(X190, X191), f64(X192, X193)) | ~p37(X191, X193) | ~p63(X190, X192) )).
% 0.13/0.36  cnf(matrix-104, plain, ( p57(f58(X183, X184), f58(X185, X186)) | ~p55(X183, X185) | ~p56(X184, X186) )).
% 0.13/0.36  cnf(matrix-105, plain, ( p56(f60(X176, X177), f60(X178, X179)) | ~p37(X177, X179) | ~p59(X176, X178) )).
% 0.13/0.36  cnf(matrix-106, plain, ( p53(f54(X166, X167), f54(X168, X169)) | ~p29(X167, X169) | ~p52(X166, X168) )).
% 0.13/0.36  cnf(matrix-107, plain, ( p47(f51(X150, X151), f51(X152, X153)) | ~p37(X151, X153) | ~p50(X150, X152) )).
% 0.13/0.36  cnf(matrix-108, plain, ( p43(f46(X140, X141), f46(X142, X143)) | ~p18(X141, X143) | ~p45(X140, X142) )).
% 0.13/0.36  cnf(matrix-109, plain, ( p41(f44(X133, X134), f44(X135, X136)) | ~p14(X134, X136) | ~p43(X133, X135) )).
% 0.13/0.36  cnf(matrix-110, plain, ( p4(f5(X126, X127), f5(X128, X129)) | ~p2(X126, X128) | ~p3(X127, X129) )).
% 0.13/0.36  cnf(matrix-111, plain, ( p39(f42(X119, X120), f42(X121, X122)) | ~p25(X120, X122) | ~p41(X119, X121) )).
% 0.13/0.36  cnf(matrix-112, plain, ( p37(f62(X112, X113), f62(X114, X115)) | ~p48(X113, X115) | ~p61(X112, X114) )).
% 0.13/0.36  cnf(matrix-113, plain, ( p37(f40(X108, X109), f40(X110, X111)) | ~p14(X109, X111) | ~p39(X108, X110) )).
% 0.13/0.36  cnf(matrix-114, plain, ( p35(f36(X101, X102), f36(X103, X104)) | ~p33(X101, X103) | ~p34(X102, X104) )).
% 0.13/0.36  cnf(matrix-115, plain, ( p34(f49(X94, X95), f49(X96, X97)) | ~p47(X94, X96) | ~p48(X95, X97) )).
% 0.13/0.36  cnf(matrix-116, plain, ( p34(f38(X90, X91), f38(X92, X93)) | ~p25(X90, X92) | ~p37(X91, X93) )).
% 0.13/0.36  cnf(matrix-117, plain, ( p3(f8(X77, X78), f8(X79, X80)) | ~p6(X77, X79) | ~p7(X78, X80) )).
% 0.13/0.36  cnf(matrix-118, plain, ( p29(f30(X70, X71), f30(X72, X73)) | ~p27(X70, X72) | ~p28(X71, X73) )).
% 0.13/0.36  cnf(matrix-119, plain, ( p28(f32(X63, X64), f32(X65, X66)) | ~p3(X64, X66) | ~p31(X63, X65) )).
% 0.13/0.36  cnf(matrix-120, plain, ( p22(f26(X47, X48), f26(X49, X50)) | ~p24(X47, X49) | ~p25(X48, X50) )).
% 0.13/0.36  cnf(matrix-121, plain, ( p17(f21(X31, X32), f21(X33, X34)) | ~p10(X32, X34) | ~p20(X31, X33) )).
% 0.13/0.36  cnf(matrix-122, plain, ( p15(f16(X24, X25), f16(X26, X27)) | ~p13(X24, X26) | ~p14(X25, X27) )).
% 0.13/0.36  cnf(matrix-123, plain, ( p14(f23(X16, X17), f23(X18, X19)) | ~p14(X17, X19) | ~p22(X16, X18) )).
% 0.13/0.36  cnf(matrix-124, plain, ( p70(f30(c88, X244), f49(f51(c94, X245), X246)) | ~p71(f54(c93, f30(c88, X244)), X246) | ~p72(f58(c90, f60(f64(c91, X245), f62(c92, X246))), X244) )).
% 0.13/0.36  cnf(matrix-125, plain, ( p68(f19(f21(c83, c77), X221), X222) | ~p67(f16(c80, X224), c82) | ~p66(f12(c78, c77), X221) | ~p14(X222, f23(f26(c84, X223), X224)) | ~p69(f36(c86, f38(X223, f40(f42(f44(f46(c87, X221), X222), X223), X224))), f30(c88, f32(c89, f8(c75, c76)))) )).
% 0.13/0.36  
% 0.13/0.36  % Proof stack:
% 0.13/0.36  cnf(proof-stack, plain, 
% 0.13/0.36  proof_stack(
% 0.13/0.36  start(45), 
% 0.13/0.36  left_branch(0, 125, 0, 2), 
% 0.13/0.36  left_branch(0, 51, 0, 3), 
% 0.13/0.36  left_branch(0, 42, 0, 4), 
% 0.13/0.36  right_branch(4), 
% 0.13/0.36  right_branch(3), 
% 0.13/0.36  left_branch(0, 89, 0, 4), 
% 0.13/0.36  left_branch(0, 37, 0, 5), 
% 0.13/0.36  right_branch(5), 
% 0.13/0.36  left_branch(0, 44, 0, 6), 
% 0.13/0.36  right_branch(6), 
% 0.13/0.36  right_branch(4), 
% 0.13/0.36  left_branch(0, 94, 0, 5), 
% 0.13/0.36  left_branch(0, 39, 0, 6), 
% 0.13/0.36  right_branch(6), 
% 0.13/0.36  left_branch(0, 40, 0, 7), 
% 0.13/0.36  right_branch(7), 
% 0.13/0.36  left_branch(0, 34, 0, 8), 
% 0.13/0.36  right_branch(8), 
% 0.13/0.36  right_branch(5), 
% 0.13/0.36  left_branch(0, 41, 0, 6), 
% 0.13/0.36  right_branch(6), 
% 0.13/0.36  right_branch(2)
% 0.13/0.36  )).
% 0.13/0.36  % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------