TSTP Solution File: SYN713-1 by ConnectPP---0.3.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ConnectPP---0.3.0
% Problem  : SYN713-1 : 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 : n007.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 12.29s 12.49s
% Output   : Proof 12.29s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SYN713-1 : TPTP v8.1.2. Released v2.5.0.
% 0.03/0.13  % Command  : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.13/0.34  % Computer : n007.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % 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 22:47:59 EDT 2024
% 0.13/0.34  % CPUTime  : 
% 12.29/12.49  % SZS status Unsatisfiable for theBenchmark
% 12.29/12.49  % SZS output start Proof for theBenchmark
% 12.29/12.49  
% 12.29/12.49  % Problem matrix:
% 12.29/12.49  cnf(matrix-0, plain, ( p10(X0, X0) )).
% 12.29/12.49  cnf(matrix-1, plain, ( p9(X210, X210) )).
% 12.29/12.49  cnf(matrix-2, plain, ( p7(X207, X207) )).
% 12.29/12.49  cnf(matrix-3, plain, ( p6(X200, X200) )).
% 12.29/12.49  cnf(matrix-4, plain, ( p54(X172, X172) )).
% 12.29/12.49  cnf(matrix-5, plain, ( p53(X169, X169) )).
% 12.29/12.49  cnf(matrix-6, plain, ( p51(X162, X162) )).
% 12.29/12.49  cnf(matrix-7, plain, ( p49(X159, X159) )).
% 12.29/12.49  cnf(matrix-8, plain, ( p48(X156, X156) )).
% 12.29/12.49  cnf(matrix-9, plain, ( p46(X149, X149) )).
% 12.29/12.49  cnf(matrix-10, plain, ( p44(X142, X142) )).
% 12.29/12.49  cnf(matrix-11, plain, ( p43(X135, X135) )).
% 12.29/12.49  cnf(matrix-12, plain, ( p42(X132, X132) )).
% 12.29/12.49  cnf(matrix-13, plain, ( p40(X129, X129) )).
% 12.29/12.49  cnf(matrix-14, plain, ( p4(X118, X118) )).
% 12.29/12.49  cnf(matrix-15, plain, ( p39(X115, X115) )).
% 12.29/12.49  cnf(matrix-16, plain, ( p37(X108, X108) )).
% 12.29/12.49  cnf(matrix-17, plain, ( p36(X105, X105) )).
% 12.29/12.49  cnf(matrix-18, plain, ( p34(X102, X102) )).
% 12.29/12.49  cnf(matrix-19, plain, ( p32(X99, X99) )).
% 12.29/12.49  cnf(matrix-20, plain, ( p30(X92, X92) )).
% 12.29/12.49  cnf(matrix-21, plain, ( p3(X85, X85) )).
% 12.29/12.49  cnf(matrix-22, plain, ( p29(X78, X78) )).
% 12.29/12.49  cnf(matrix-23, plain, ( p27(X75, X75) )).
% 12.29/12.49  cnf(matrix-24, plain, ( p25(X60, X60) )).
% 12.29/12.49  cnf(matrix-25, plain, ( p24(X49, X49) )).
% 12.29/12.49  cnf(matrix-26, plain, ( p21(X46, X46) )).
% 12.29/12.49  cnf(matrix-27, plain, ( p20(X43, X43) )).
% 12.29/12.49  cnf(matrix-28, plain, ( p2(X40, X40) )).
% 12.29/12.49  cnf(matrix-29, plain, ( p18(X33, X33) )).
% 12.29/12.49  cnf(matrix-30, plain, ( p16(X30, X30) )).
% 12.29/12.49  cnf(matrix-31, plain, ( p15(X27, X27) )).
% 12.29/12.49  cnf(matrix-32, plain, ( p13(X14, X14) )).
% 12.29/12.49  cnf(matrix-33, plain, ( p12(X7, X7) )).
% 12.29/12.49  cnf(matrix-34, plain, ( p59(f38(c72, c77), f35(c73, c68)) )).
% 12.29/12.49  cnf(matrix-35, plain, ( p56(f5(c61, f8(c62, c63)), c64) )).
% 12.29/12.49  cnf(matrix-36, plain, ( p13(f23(c69, c67), f19(f22(c70, c69), c68)) )).
% 12.29/12.49  cnf(matrix-37, plain, ( p56(f11(c65, f14(f17(c66, c67), c68)), c64) )).
% 12.29/12.49  cnf(matrix-38, plain, ( ~p57(f26(f28(c71, f41(c78, c64)), c67), c77) )).
% 12.29/12.49  cnf(matrix-39, plain, ( p10(X1, X2) | ~p10(X0, X1) | ~p10(X0, X2) )).
% 12.29/12.49  cnf(matrix-40, plain, ( p9(X211, X212) | ~p9(X210, X211) | ~p9(X210, X212) )).
% 12.29/12.49  cnf(matrix-41, plain, ( p7(X208, X209) | ~p7(X207, X208) | ~p7(X207, X209) )).
% 12.29/12.49  cnf(matrix-42, plain, ( p6(X201, X202) | ~p6(X200, X201) | ~p6(X200, X202) )).
% 12.29/12.49  cnf(matrix-43, plain, ( p54(X173, X174) | ~p54(X172, X173) | ~p54(X172, X174) )).
% 12.29/12.49  cnf(matrix-44, plain, ( p53(X170, X171) | ~p53(X169, X170) | ~p53(X169, X171) )).
% 12.29/12.49  cnf(matrix-45, plain, ( p51(X163, X164) | ~p51(X162, X163) | ~p51(X162, X164) )).
% 12.29/12.49  cnf(matrix-46, plain, ( p49(X160, X161) | ~p49(X159, X160) | ~p49(X159, X161) )).
% 12.29/12.49  cnf(matrix-47, plain, ( p48(X157, X158) | ~p48(X156, X157) | ~p48(X156, X158) )).
% 12.29/12.49  cnf(matrix-48, plain, ( p46(X150, X151) | ~p46(X149, X150) | ~p46(X149, X151) )).
% 12.29/12.49  cnf(matrix-49, plain, ( p44(X143, X144) | ~p44(X142, X143) | ~p44(X142, X144) )).
% 12.29/12.49  cnf(matrix-50, plain, ( p43(X136, X137) | ~p43(X135, X136) | ~p43(X135, X137) )).
% 12.29/12.49  cnf(matrix-51, plain, ( p42(X133, X134) | ~p42(X132, X133) | ~p42(X132, X134) )).
% 12.29/12.49  cnf(matrix-52, plain, ( p40(X130, X131) | ~p40(X129, X130) | ~p40(X129, X131) )).
% 12.29/12.49  cnf(matrix-53, plain, ( p4(X119, X120) | ~p4(X118, X119) | ~p4(X118, X120) )).
% 12.29/12.49  cnf(matrix-54, plain, ( p39(X116, X117) | ~p39(X115, X116) | ~p39(X115, X117) )).
% 12.29/12.49  cnf(matrix-55, plain, ( p37(X109, X110) | ~p37(X108, X109) | ~p37(X108, X110) )).
% 12.29/12.49  cnf(matrix-56, plain, ( p36(X106, X107) | ~p36(X105, X106) | ~p36(X105, X107) )).
% 12.29/12.49  cnf(matrix-57, plain, ( p34(X103, X104) | ~p34(X102, X103) | ~p34(X102, X104) )).
% 12.29/12.49  cnf(matrix-58, plain, ( p32(X100, X101) | ~p32(X99, X100) | ~p32(X99, X101) )).
% 12.29/12.49  cnf(matrix-59, plain, ( p30(X93, X94) | ~p30(X92, X93) | ~p30(X92, X94) )).
% 12.29/12.49  cnf(matrix-60, plain, ( p3(X86, X87) | ~p3(X85, X86) | ~p3(X85, X87) )).
% 12.29/12.49  cnf(matrix-61, plain, ( p29(X79, X80) | ~p29(X78, X79) | ~p29(X78, X80) )).
% 12.29/12.49  cnf(matrix-62, plain, ( p27(X76, X77) | ~p27(X75, X76) | ~p27(X75, X77) )).
% 12.29/12.49  cnf(matrix-63, plain, ( p25(X61, X62) | ~p25(X60, X61) | ~p25(X60, X62) )).
% 12.29/12.49  cnf(matrix-64, plain, ( p24(X50, X51) | ~p24(X49, X50) | ~p24(X49, X51) )).
% 12.29/12.49  cnf(matrix-65, plain, ( p21(X47, X48) | ~p21(X46, X47) | ~p21(X46, X48) )).
% 12.29/12.49  cnf(matrix-66, plain, ( p20(X44, X45) | ~p20(X43, X44) | ~p20(X43, X45) )).
% 12.29/12.49  cnf(matrix-67, plain, ( p2(X41, X42) | ~p2(X40, X41) | ~p2(X40, X42) )).
% 12.29/12.49  cnf(matrix-68, plain, ( p18(X34, X35) | ~p18(X33, X34) | ~p18(X33, X35) )).
% 12.29/12.49  cnf(matrix-69, plain, ( p16(X31, X32) | ~p16(X30, X31) | ~p16(X30, X32) )).
% 12.29/12.49  cnf(matrix-70, plain, ( p15(X28, X29) | ~p15(X27, X28) | ~p15(X27, X29) )).
% 12.29/12.49  cnf(matrix-71, plain, ( p13(X15, X16) | ~p13(X14, X15) | ~p13(X14, X16) )).
% 12.29/12.49  cnf(matrix-72, plain, ( p12(X8, X9) | ~p12(X7, X8) | ~p12(X7, X9) )).
% 12.29/12.49  cnf(matrix-73, plain, ( p57(f26(f28(c71, X186), X187), X188) | ~p57(f26(X186, X187), X188) )).
% 12.29/12.49  cnf(matrix-74, plain, ( p60(X203, X204) | ~p54(X206, X204) | ~p60(X205, X206) | ~p44(X205, X203) )).
% 12.29/12.49  cnf(matrix-75, plain, ( p56(X175, X176) | ~p40(X178, X176) | ~p56(X177, X178) | ~p4(X177, X175) )).
% 12.29/12.49  cnf(matrix-76, plain, ( p57(X182, X183) | ~p25(X185, X182) | ~p57(X185, X184) | ~p16(X184, X183) )).
% 12.29/12.49  cnf(matrix-77, plain, ( p58(X192, X193) | ~p30(X195, X192) | ~p58(X195, X194) | ~p13(X194, X193) )).
% 12.29/12.49  cnf(matrix-78, plain, ( p59(X196, X197) | ~p37(X199, X196) | ~p59(X199, X198) | ~p25(X198, X197) )).
% 12.29/12.49  cnf(matrix-79, plain, ( ~p58(f31(f33(c75, c76), f23(c69, c77)), f19(f22(c70, c69), c68)) )).
% 12.29/12.49  cnf(matrix-80, plain, ( p10(f14(X3, X4), f14(X5, X6)) | ~p12(X3, X5) | ~p13(X4, X6) )).
% 12.29/12.49  cnf(matrix-81, plain, ( p51(f55(X165, X166), f55(X167, X168)) | ~p53(X165, X167) | ~p54(X166, X168) )).
% 12.29/12.49  cnf(matrix-82, plain, ( p46(f50(X152, X153), f50(X154, X155)) | ~p48(X152, X154) | ~p49(X153, X155) )).
% 12.29/12.49  cnf(matrix-83, plain, ( p44(f45(X145, X146), f45(X147, X148)) | ~p42(X145, X147) | ~p43(X146, X148) )).
% 12.29/12.49  cnf(matrix-84, plain, ( p43(f47(X138, X139), f47(X140, X141)) | ~p13(X139, X141) | ~p46(X138, X140) )).
% 12.29/12.49  cnf(matrix-85, plain, ( p4(f5(X125, X126), f5(X127, X128)) | ~p2(X125, X127) | ~p3(X126, X128) )).
% 12.29/12.49  cnf(matrix-86, plain, ( p4(f11(X121, X122), f11(X123, X124)) | ~p10(X122, X124) | ~p9(X121, X123) )).
% 12.29/12.49  cnf(matrix-87, plain, ( p37(f38(X111, X112), f38(X113, X114)) | ~p16(X112, X114) | ~p36(X111, X113) )).
% 12.29/12.49  cnf(matrix-88, plain, ( p30(f31(X95, X96), f31(X97, X98)) | ~p13(X96, X98) | ~p29(X95, X97) )).
% 12.29/12.49  cnf(matrix-89, plain, ( p3(f8(X88, X89), f8(X90, X91)) | ~p6(X88, X90) | ~p7(X89, X91) )).
% 12.29/12.49  cnf(matrix-90, plain, ( p29(f33(X81, X82), f33(X83, X84)) | ~p29(X82, X84) | ~p32(X81, X83) )).
% 12.29/12.49  cnf(matrix-91, plain, ( p25(f52(X71, X72), f52(X73, X74)) | ~p49(X72, X74) | ~p51(X71, X73) )).
% 12.29/12.49  cnf(matrix-92, plain, ( p25(f35(X67, X68), f35(X69, X70)) | ~p13(X68, X70) | ~p34(X67, X69) )).
% 12.29/12.49  cnf(matrix-93, plain, ( p25(f26(X63, X64), f26(X65, X66)) | ~p16(X64, X66) | ~p24(X63, X65) )).
% 12.29/12.49  cnf(matrix-94, plain, ( p24(f41(X56, X57), f41(X58, X59)) | ~p39(X56, X58) | ~p40(X57, X59) )).
% 12.29/12.49  cnf(matrix-95, plain, ( p24(f28(X52, X53), f28(X54, X55)) | ~p24(X53, X55) | ~p27(X52, X54) )).
% 12.29/12.49  cnf(matrix-96, plain, ( p18(f22(X36, X37), f22(X38, X39)) | ~p20(X36, X38) | ~p21(X37, X39) )).
% 12.29/12.49  cnf(matrix-97, plain, ( p13(f23(X23, X24), f23(X25, X26)) | ~p16(X24, X26) | ~p21(X23, X25) )).
% 12.29/12.49  cnf(matrix-98, plain, ( p13(f19(X19, X20), f19(X21, X22)) | ~p13(X20, X22) | ~p18(X19, X21) )).
% 12.29/12.49  cnf(matrix-99, plain, ( p12(f17(X10, X11), f17(X12, X13)) | ~p15(X10, X12) | ~p16(X11, X13) )).
% 12.29/12.49  cnf(matrix-100, plain, ( p57(f26(f41(c78, X181), X179), X180) | ~p56(f11(c65, f14(f17(c66, X179), f23(c74, X180))), X181) )).
% 12.29/12.49  cnf(matrix-101, plain, ( p57(f52(f55(c79, X189), X190), X191) | ~p60(f45(c80, f47(f50(c81, X190), f23(c74, X191))), X189) )).
% 12.29/12.49  cnf(matrix-102, plain, ( p60(f45(c80, f47(f50(c81, X190), f23(c74, X191))), X189) | ~p57(f52(f55(c79, X189), X190), X191) )).
% 12.29/12.49  cnf(matrix-103, plain, ( p56(f11(c65, f14(f17(c66, X179), f23(c74, X180))), X181) | ~p57(f26(f41(c78, X181), X179), X180) )).
% 12.29/12.49  cnf(matrix-104, plain, ( p13(X17, f23(c74, X18)) | p58(f31(f33(c75, c76), f23(c69, X18)), f19(f22(c70, c69), X17)) | ~p59(f38(c72, X18), f35(c73, X17)) )).
% 12.29/12.49  
% 12.29/12.49  % Proof stack:
% 12.29/12.49  cnf(proof-stack, plain, 
% 12.29/12.49  proof_stack(
% 12.29/12.49  start(53), 
% 12.29/12.49  left_branch(0, 75, 3, 2), 
% 12.29/12.49  left_branch(0, 100, 1, 3), 
% 12.29/12.49  left_branch(0, 73, 1, 4), 
% 12.29/12.49  left_branch(0, 38, 0, 5), 
% 12.29/12.49  right_branch(5), 
% 12.29/12.49  right_branch(4), 
% 12.29/12.49  right_branch(3), 
% 12.29/12.49  left_branch(0, 37, 0, 4), 
% 12.29/12.49  right_branch(4), 
% 12.29/12.49  left_branch(0, 13, 0, 5), 
% 12.29/12.49  right_branch(5), 
% 12.29/12.49  right_branch(2), 
% 12.29/12.49  left_branch(0, 86, 0, 3), 
% 12.29/12.49  left_branch(0, 40, 0, 4), 
% 12.29/12.49  left_branch(0, 40, 0, 5), 
% 12.29/12.49  left_branch(0, 1, 0, 6), 
% 12.29/12.49  right_branch(6), 
% 12.29/12.49  left_branch(0, 1, 0, 7), 
% 12.29/12.49  right_branch(7), 
% 12.29/12.49  right_branch(5), 
% 12.29/12.49  left_branch(0, 1, 0, 6), 
% 12.29/12.49  right_branch(6), 
% 12.29/12.49  right_branch(4), 
% 12.29/12.49  left_branch(0, 80, 0, 5), 
% 12.29/12.49  left_branch(0, 104, 0, 6), 
% 12.29/12.49  left_branch(0, 34, 0, 7), 
% 12.29/12.49  right_branch(7), 
% 12.29/12.49  left_branch(0, 79, 0, 8), 
% 12.29/12.49  right_branch(8), 
% 12.29/12.49  right_branch(6), 
% 12.29/12.49  left_branch(0, 99, 0, 7), 
% 12.29/12.49  left_branch(0, 30, 0, 8), 
% 12.29/12.49  right_branch(8), 
% 12.29/12.49  left_branch(0, 31, 0, 9), 
% 12.29/12.49  right_branch(9), 
% 12.29/12.49  right_branch(7), 
% 12.29/12.49  right_branch(5), 
% 12.29/12.49  right_branch(3), 
% 12.29/12.49  left_branch(0, 86, 0, 4), 
% 12.29/12.49  left_branch(0, 1, 0, 5), 
% 12.29/12.49  right_branch(5), 
% 12.29/12.49  left_branch(0, 80, 0, 6), 
% 12.29/12.49  left_branch(0, 32, 0, 7), 
% 12.29/12.49  right_branch(7), 
% 12.29/12.49  left_branch(0, 99, 0, 8), 
% 12.29/12.49  left_branch(0, 30, 0, 9), 
% 12.29/12.49  right_branch(9), 
% 12.29/12.49  left_branch(0, 31, 0, 10), 
% 12.29/12.49  right_branch(10), 
% 12.29/12.49  right_branch(8), 
% 12.29/12.49  right_branch(6), 
% 12.29/12.49  right_branch(4)
% 12.29/12.49  )).
% 12.29/12.49  % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------