TSTP Solution File: SYN718-1 by ConnectPP---0.3.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ConnectPP---0.3.0
% Problem : SYN718-1 : 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 : n024.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 0.54s 0.71s
% Output : Proof 0.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SYN718-1 : TPTP v8.1.2. Released v2.5.0.
% 0.12/0.13 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.13/0.34 % Computer : n024.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 22:32:31 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.54/0.71 % SZS status Unsatisfiable for theBenchmark
% 0.54/0.71 % SZS output start Proof for theBenchmark
% 0.54/0.71
% 0.54/0.71 % Problem matrix:
% 0.54/0.71 cnf(matrix-0, plain, ( p11(X0, X0) )).
% 0.54/0.71 cnf(matrix-1, plain, ( p9(X237, X237) )).
% 0.54/0.71 cnf(matrix-2, plain, ( p7(X230, X230) )).
% 0.54/0.71 cnf(matrix-3, plain, ( p6(X211, X211) )).
% 0.54/0.71 cnf(matrix-4, plain, ( p58(X204, X204) )).
% 0.54/0.71 cnf(matrix-5, plain, ( p54(X181, X181) )).
% 0.54/0.71 cnf(matrix-6, plain, ( p52(X174, X174) )).
% 0.54/0.71 cnf(matrix-7, plain, ( p50(X167, X167) )).
% 0.54/0.71 cnf(matrix-8, plain, ( p49(X164, X164) )).
% 0.54/0.71 cnf(matrix-9, plain, ( p47(X161, X161) )).
% 0.54/0.71 cnf(matrix-10, plain, ( p45(X154, X154) )).
% 0.54/0.71 cnf(matrix-11, plain, ( p43(X147, X147) )).
% 0.54/0.71 cnf(matrix-12, plain, ( p41(X144, X144) )).
% 0.54/0.71 cnf(matrix-13, plain, ( p4(X133, X133) )).
% 0.54/0.71 cnf(matrix-14, plain, ( p39(X126, X126) )).
% 0.54/0.71 cnf(matrix-15, plain, ( p37(X119, X119) )).
% 0.54/0.71 cnf(matrix-16, plain, ( p35(X116, X116) )).
% 0.54/0.71 cnf(matrix-17, plain, ( p33(X105, X105) )).
% 0.54/0.71 cnf(matrix-18, plain, ( p31(X102, X102) )).
% 0.54/0.71 cnf(matrix-19, plain, ( p3(X75, X75) )).
% 0.54/0.71 cnf(matrix-20, plain, ( p29(X72, X72) )).
% 0.54/0.71 cnf(matrix-21, plain, ( p27(X69, X69) )).
% 0.54/0.71 cnf(matrix-22, plain, ( p25(X58, X58) )).
% 0.54/0.71 cnf(matrix-23, plain, ( p23(X55, X55) )).
% 0.54/0.71 cnf(matrix-24, plain, ( p21(X48, X48) )).
% 0.54/0.71 cnf(matrix-25, plain, ( p20(X41, X41) )).
% 0.54/0.71 cnf(matrix-26, plain, ( p2(X38, X38) )).
% 0.54/0.71 cnf(matrix-27, plain, ( p18(X23, X23) )).
% 0.54/0.71 cnf(matrix-28, plain, ( p16(X12, X12) )).
% 0.54/0.71 cnf(matrix-29, plain, ( p15(X9, X9) )).
% 0.54/0.71 cnf(matrix-30, plain, ( p14(X6, X6) )).
% 0.54/0.71 cnf(matrix-31, plain, ( p12(X3, X3) )).
% 0.54/0.71 cnf(matrix-32, plain, ( p60(c77, c70) )).
% 0.54/0.71 cnf(matrix-33, plain, ( p55(c63, c64) )).
% 0.54/0.71 cnf(matrix-34, plain, ( p59(c74, f28(c75, c78)) )).
% 0.54/0.71 cnf(matrix-35, plain, ( p3(c84, f10(c72, c73)) )).
% 0.54/0.71 cnf(matrix-36, plain, ( p59(c74, f28(c75, c76)) )).
% 0.54/0.71 cnf(matrix-37, plain, ( p16(f17(c68, c69), c70) )).
% 0.54/0.71 cnf(matrix-38, plain, ( p11(X1, X2) | ~p11(X0, X1) | ~p11(X0, X2) )).
% 0.54/0.71 cnf(matrix-39, plain, ( p9(X238, X239) | ~p9(X237, X238) | ~p9(X237, X239) )).
% 0.54/0.71 cnf(matrix-40, plain, ( p7(X231, X232) | ~p7(X230, X231) | ~p7(X230, X232) )).
% 0.54/0.71 cnf(matrix-41, plain, ( p6(X212, X213) | ~p6(X211, X212) | ~p6(X211, X213) )).
% 0.54/0.71 cnf(matrix-42, plain, ( p58(X205, X206) | ~p58(X204, X205) | ~p58(X204, X206) )).
% 0.54/0.71 cnf(matrix-43, plain, ( p54(X182, X183) | ~p54(X181, X182) | ~p54(X181, X183) )).
% 0.54/0.71 cnf(matrix-44, plain, ( p52(X175, X176) | ~p52(X174, X175) | ~p52(X174, X176) )).
% 0.54/0.71 cnf(matrix-45, plain, ( p50(X168, X169) | ~p50(X167, X168) | ~p50(X167, X169) )).
% 0.54/0.71 cnf(matrix-46, plain, ( p49(X165, X166) | ~p49(X164, X165) | ~p49(X164, X166) )).
% 0.54/0.71 cnf(matrix-47, plain, ( p47(X162, X163) | ~p47(X161, X162) | ~p47(X161, X163) )).
% 0.54/0.71 cnf(matrix-48, plain, ( p45(X155, X156) | ~p45(X154, X155) | ~p45(X154, X156) )).
% 0.54/0.71 cnf(matrix-49, plain, ( p43(X148, X149) | ~p43(X147, X148) | ~p43(X147, X149) )).
% 0.54/0.71 cnf(matrix-50, plain, ( p41(X145, X146) | ~p41(X144, X145) | ~p41(X144, X146) )).
% 0.54/0.71 cnf(matrix-51, plain, ( p4(X134, X135) | ~p4(X133, X134) | ~p4(X133, X135) )).
% 0.54/0.71 cnf(matrix-52, plain, ( p39(X127, X128) | ~p39(X126, X127) | ~p39(X126, X128) )).
% 0.54/0.71 cnf(matrix-53, plain, ( p37(X120, X121) | ~p37(X119, X120) | ~p37(X119, X121) )).
% 0.54/0.71 cnf(matrix-54, plain, ( p35(X117, X118) | ~p35(X116, X117) | ~p35(X116, X118) )).
% 0.54/0.71 cnf(matrix-55, plain, ( p33(X106, X107) | ~p33(X105, X106) | ~p33(X105, X107) )).
% 0.54/0.71 cnf(matrix-56, plain, ( p31(X103, X104) | ~p31(X102, X103) | ~p31(X102, X104) )).
% 0.54/0.71 cnf(matrix-57, plain, ( p3(X76, X77) | ~p3(X75, X76) | ~p3(X75, X77) )).
% 0.54/0.71 cnf(matrix-58, plain, ( p29(X73, X74) | ~p29(X72, X73) | ~p29(X72, X74) )).
% 0.54/0.71 cnf(matrix-59, plain, ( p27(X70, X71) | ~p27(X69, X70) | ~p27(X69, X71) )).
% 0.54/0.71 cnf(matrix-60, plain, ( p25(X59, X60) | ~p25(X58, X59) | ~p25(X58, X60) )).
% 0.54/0.71 cnf(matrix-61, plain, ( p23(X56, X57) | ~p23(X55, X56) | ~p23(X55, X57) )).
% 0.54/0.71 cnf(matrix-62, plain, ( p21(X49, X50) | ~p21(X48, X49) | ~p21(X48, X50) )).
% 0.54/0.71 cnf(matrix-63, plain, ( p20(X42, X43) | ~p20(X41, X42) | ~p20(X41, X43) )).
% 0.54/0.71 cnf(matrix-64, plain, ( p2(X39, X40) | ~p2(X38, X39) | ~p2(X38, X40) )).
% 0.54/0.71 cnf(matrix-65, plain, ( p18(X24, X25) | ~p18(X23, X24) | ~p18(X23, X25) )).
% 0.54/0.71 cnf(matrix-66, plain, ( p16(X13, X14) | ~p16(X12, X13) | ~p16(X12, X14) )).
% 0.54/0.71 cnf(matrix-67, plain, ( p15(X10, X11) | ~p15(X9, X10) | ~p15(X9, X11) )).
% 0.54/0.71 cnf(matrix-68, plain, ( p14(X7, X8) | ~p14(X6, X7) | ~p14(X6, X8) )).
% 0.54/0.71 cnf(matrix-69, plain, ( p12(X4, X5) | ~p12(X3, X4) | ~p12(X3, X5) )).
% 0.54/0.71 cnf(matrix-70, plain, ( ~p3(f19(f5(c66, f10(c72, c73)), c83), f10(c72, c73)) )).
% 0.54/0.71 cnf(matrix-71, plain, ( p57(f26(f30(c85, X197), X198), X199) | ~p57(f26(X197, X198), X199) )).
% 0.54/0.71 cnf(matrix-72, plain, ( p62(X226, X227) | ~p52(X229, X226) | ~p62(X229, X228) | ~p18(X228, X227) )).
% 0.54/0.71 cnf(matrix-73, plain, ( p55(X184, X185) | ~p54(X187, X184) | ~p55(X187, X186) | ~p12(X186, X185) )).
% 0.54/0.71 cnf(matrix-74, plain, ( p56(X188, X189) | ~p56(X191, X190) | ~p7(X191, X188) | ~p4(X190, X189) )).
% 0.54/0.71 cnf(matrix-75, plain, ( p57(X193, X194) | ~p25(X196, X193) | ~p57(X196, X195) | ~p21(X195, X194) )).
% 0.54/0.71 cnf(matrix-76, plain, ( p59(X207, X208) | ~p58(X210, X207) | ~p59(X210, X209) | ~p25(X209, X208) )).
% 0.54/0.71 cnf(matrix-77, plain, ( p60(X218, X219) | ~p16(X221, X219) | ~p60(X220, X221) | ~p15(X220, X218) )).
% 0.54/0.71 cnf(matrix-78, plain, ( p61(X222, X223) | ~p50(X225, X222) | ~p61(X225, X224) | ~p3(X224, X223) )).
% 0.54/0.71 cnf(matrix-79, plain, ( p57(f26(c70, f22(f24(c71, c81), c82)), f22(f24(c71, c83), c84)) )).
% 0.54/0.71 cnf(matrix-80, plain, ( p57(f26(c70, f22(f24(c71, c79), c80)), f22(f24(c71, c81), c82)) )).
% 0.54/0.71 cnf(matrix-81, plain, ( p56(f8(f13(c65, c64), f5(c66, f10(c67, X192))), f5(c66, X192)) )).
% 0.54/0.71 cnf(matrix-82, plain, ( p16(f17(X15, X16), f17(X17, X18)) | ~p14(X15, X17) | ~p15(X16, X18) )).
% 0.54/0.71 cnf(matrix-83, plain, ( p9(f32(X240, X241), f32(X242, X243)) | ~p3(X241, X243) | ~p31(X240, X242) )).
% 0.54/0.71 cnf(matrix-84, plain, ( p7(f8(X233, X234), f8(X235, X236)) | ~p4(X234, X236) | ~p6(X233, X235) )).
% 0.54/0.71 cnf(matrix-85, plain, ( p6(f13(X214, X215), f13(X216, X217)) | ~p11(X214, X216) | ~p12(X215, X217) )).
% 0.54/0.71 cnf(matrix-86, plain, ( p52(f53(X177, X178), f53(X179, X180)) | ~p12(X177, X179) | ~p18(X178, X180) )).
% 0.54/0.71 cnf(matrix-87, plain, ( p50(f51(X170, X171), f51(X172, X173)) | ~p3(X171, X173) | ~p49(X170, X172) )).
% 0.54/0.71 cnf(matrix-88, plain, ( p45(f48(X157, X158), f48(X159, X160)) | ~p3(X158, X160) | ~p47(X157, X159) )).
% 0.54/0.71 cnf(matrix-89, plain, ( p43(f46(X150, X151), f46(X152, X153)) | ~p3(X151, X153) | ~p45(X150, X152) )).
% 0.54/0.71 cnf(matrix-90, plain, ( p4(f5(X140, X141), f5(X142, X143)) | ~p2(X140, X142) | ~p3(X141, X143) )).
% 0.54/0.71 cnf(matrix-91, plain, ( p4(f38(X136, X137), f38(X138, X139)) | ~p18(X137, X139) | ~p37(X136, X138) )).
% 0.54/0.71 cnf(matrix-92, plain, ( p39(f42(X129, X130), f42(X131, X132)) | ~p3(X130, X132) | ~p41(X129, X131) )).
% 0.54/0.71 cnf(matrix-93, plain, ( p37(f40(X122, X123), f40(X124, X125)) | ~p3(X123, X125) | ~p39(X122, X124) )).
% 0.54/0.71 cnf(matrix-94, plain, ( p33(f44(X112, X113), f44(X114, X115)) | ~p18(X113, X115) | ~p43(X112, X114) )).
% 0.54/0.71 cnf(matrix-95, plain, ( p33(f36(X108, X109), f36(X110, X111)) | ~p3(X109, X111) | ~p35(X108, X110) )).
% 0.54/0.71 cnf(matrix-96, plain, ( p3(f19(X96, X97), f19(X98, X99)) | ~p18(X97, X99) | ~p4(X96, X98) )).
% 0.54/0.71 cnf(matrix-97, plain, ( p3(f10(X92, X93), f10(X94, X95)) | ~p3(X93, X95) | ~p9(X92, X94) )).
% 0.54/0.71 cnf(matrix-98, plain, ( p25(f28(X65, X66), f28(X67, X68)) | ~p25(X66, X68) | ~p27(X65, X67) )).
% 0.54/0.71 cnf(matrix-99, plain, ( p25(f26(X61, X62), f26(X63, X64)) | ~p16(X61, X63) | ~p21(X62, X64) )).
% 0.54/0.71 cnf(matrix-100, plain, ( p21(f22(X51, X52), f22(X53, X54)) | ~p20(X51, X53) | ~p3(X52, X54) )).
% 0.54/0.71 cnf(matrix-101, plain, ( p20(f24(X44, X45), f24(X46, X47)) | ~p18(X45, X47) | ~p23(X44, X46) )).
% 0.54/0.71 cnf(matrix-102, plain, ( p18(f34(X34, X35), f34(X36, X37)) | ~p18(X35, X37) | ~p33(X34, X36) )).
% 0.54/0.71 cnf(matrix-103, plain, ( p16(f30(X19, X20), f30(X21, X22)) | ~p16(X20, X22) | ~p29(X19, X21) )).
% 0.54/0.71 cnf(matrix-104, plain, ( ~p57(f26(f30(c85, c70), f22(f24(c71, c79), c80)), f22(f24(c71, c83), f10(c72, c73))) )).
% 0.54/0.71 cnf(matrix-105, plain, ( p18(X30, X31) | p62(f53(c64, X30), X31) | ~p57(f26(c70, f22(f24(c71, X30), X32)), f22(f24(c71, X31), X33)) )).
% 0.54/0.71 cnf(matrix-106, plain, ( p57(f26(f30(c85, X200), X201), X202) | ~p57(f26(f30(c85, X200), X201), X203) | ~p57(f26(f30(c85, X200), X203), X202) )).
% 0.54/0.71 cnf(matrix-107, plain, ( p18(X26, X27) | ~p3(f19(f5(c66, X28), X26), f10(c72, c73)) | ~p57(f26(c70, f22(f24(c71, X26), X28)), f22(f24(c71, X27), X29)) )).
% 0.54/0.71 cnf(matrix-108, plain, ( p3(X78, X79) | ~p57(f26(c70, f22(f24(c71, X80), X78)), f22(f24(c71, X81), X82)) | ~p57(f26(c70, f22(f24(c71, X83), X79)), f22(f24(c71, X81), X82)) )).
% 0.54/0.71 cnf(matrix-109, plain, ( p62(f53(c64, X30), X31) | p61(f51(c92, f19(f5(c66, X32), X31)), f19(f5(c66, X33), X31)) | ~p57(f26(c70, f22(f24(c71, X30), X32)), f22(f24(c71, X31), X33)) )).
% 0.54/0.71 cnf(matrix-110, plain, ( ~p57(f26(c70, f22(f24(c71, X101), X100)), f22(f24(c71, X244), X245)) | ~p3(f19(f5(c66, X100), X101), f19(f5(c66, f10(f32(c88, X100), f10(c72, f10(c89, c73)))), X101)) )).
% 0.54/0.71 cnf(matrix-111, plain, ( p3(f19(f5(c66, X100), X101), f19(f5(c66, f10(f32(c88, X100), f10(c72, f10(c89, c73)))), X101)) | p57(f26(c70, f22(f24(c71, X101), X100)), f22(f24(c71, f34(f36(c86, X100), X101)), f19(f5(c87, X100), X101))) )).
% 0.54/0.71 cnf(matrix-112, plain, ( p3(X88, f10(c72, c73)) | ~p61(f51(c92, X90), c80) | ~p57(f26(c70, f22(f24(c71, X89), X90)), f22(f24(c71, X91), X88)) | ~p3(f19(f5(c66, f10(c72, c73)), f34(f44(f46(f48(c93, X90), X88), X89), X91)), f10(c72, c73)) )).
% 0.54/0.71 cnf(matrix-113, plain, ( p3(X84, f10(c72, c73)) | p57(f26(c70, f22(f24(c71, X85), X84)), f22(f24(c71, f34(f44(f46(f48(c90, X86), X84), X87), X85)), f19(f38(f40(f42(c91, X86), X84), X87), X85))) | ~p57(f26(c70, f22(f24(c71, X87), X86)), f22(f24(c71, X85), X84)) )).
% 0.54/0.71 cnf(matrix-114, plain, ( p3(X88, f10(c72, c73)) | p57(f26(f30(c85, c70), f22(f24(c71, X89), X90)), f22(f24(c71, f34(f44(f46(f48(c93, X90), X88), X89), X91)), f10(c72, c73))) | ~p61(f51(c92, X90), c80) | ~p57(f26(c70, f22(f24(c71, X89), X90)), f22(f24(c71, X91), X88)) )).
% 0.54/0.71 cnf(matrix-115, plain, ( ~p61(f51(c92, X90), c80) | ~p3(f19(f5(c66, f10(c72, c73)), X91), f10(c72, c73)) | ~p57(f26(c70, f22(f24(c71, X89), X90)), f22(f24(c71, X91), X88)) | ~p3(f19(f5(c66, f10(c72, c73)), f34(f44(f46(f48(c93, X90), X88), X89), X91)), f10(c72, c73)) )).
% 0.54/0.71 cnf(matrix-116, plain, ( p57(f26(c70, f22(f24(c71, X85), X84)), f22(f24(c71, f34(f44(f46(f48(c90, X86), X84), X87), X85)), f19(f38(f40(f42(c91, X86), X84), X87), X85))) | ~p3(f19(f5(c66, f10(c72, c73)), X85), f10(c72, c73)) | ~p57(f26(c70, f22(f24(c71, X87), X86)), f22(f24(c71, X85), X84)) )).
% 0.54/0.71 cnf(matrix-117, plain, ( p57(f26(f30(c85, c70), f22(f24(c71, X89), X90)), f22(f24(c71, f34(f44(f46(f48(c93, X90), X88), X89), X91)), f10(c72, c73))) | ~p61(f51(c92, X90), c80) | ~p3(f19(f5(c66, f10(c72, c73)), X91), f10(c72, c73)) | ~p57(f26(c70, f22(f24(c71, X89), X90)), f22(f24(c71, X91), X88)) )).
% 0.54/0.71
% 0.54/0.71 % Proof stack:
% 0.54/0.71 cnf(proof-stack, plain,
% 0.54/0.71 proof_stack(
% 0.54/0.71 start(104),
% 0.54/0.71 left_branch(0, 106, 0, 2),
% 0.54/0.71 left_branch(0, 71, 0, 3),
% 0.54/0.71 left_branch(0, 75, 0, 4),
% 0.54/0.71 left_branch(0, 100, 0, 5),
% 0.54/0.71 left_branch(0, 35, 0, 6),
% 0.54/0.71 right_branch(6),
% 0.54/0.71 left_branch(0, 25, 0, 7),
% 0.54/0.71 right_branch(7),
% 0.54/0.71 right_branch(5),
% 0.54/0.71 left_branch(0, 79, 0, 6),
% 0.54/0.71 right_branch(6),
% 0.54/0.71 left_branch(0, 99, 0, 7),
% 0.54/0.71 left_branch(0, 24, 0, 8),
% 0.54/0.71 right_branch(8),
% 0.54/0.71 left_branch(0, 28, 0, 9),
% 0.54/0.71 right_branch(9),
% 0.54/0.71 right_branch(7),
% 0.54/0.71 right_branch(4),
% 0.54/0.71 right_branch(3),
% 0.54/0.71 left_branch(0, 71, 0, 4),
% 0.54/0.71 left_branch(0, 80, 0, 5),
% 0.54/0.71 right_branch(5),
% 0.54/0.71 right_branch(4),
% 0.54/0.71 right_branch(2)
% 0.54/0.71 )).
% 0.54/0.71 % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------