TSTP Solution File: SYN710-1 by ConnectPP---0.3.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ConnectPP---0.3.0
% Problem  : SYN710-1 : 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 0.18s 0.49s
% Output   : Proof 0.18s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : SYN710-1 : TPTP v8.1.2. Released v2.5.0.
% 0.04/0.13  % 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 23:09:14 EDT 2024
% 0.13/0.34  % CPUTime  : 
% 0.18/0.49  % SZS status Unsatisfiable for theBenchmark
% 0.18/0.49  % SZS output start Proof for theBenchmark
% 0.18/0.49  
% 0.18/0.49  % Problem matrix:
% 0.18/0.49  cnf(matrix-0, plain, ( p10(X0, X0) )).
% 0.18/0.49  cnf(matrix-1, plain, ( p8(X130, X130) )).
% 0.18/0.49  cnf(matrix-2, plain, ( p7(X115, X115) )).
% 0.18/0.49  cnf(matrix-3, plain, ( p6(X112, X112) )).
% 0.18/0.49  cnf(matrix-4, plain, ( p4(X105, X105) )).
% 0.18/0.49  cnf(matrix-5, plain, ( p31(X69, X69) )).
% 0.18/0.49  cnf(matrix-6, plain, ( p3(X66, X66) )).
% 0.18/0.49  cnf(matrix-7, plain, ( p29(X59, X59) )).
% 0.18/0.49  cnf(matrix-8, plain, ( p28(X56, X56) )).
% 0.18/0.49  cnf(matrix-9, plain, ( p26(X53, X53) )).
% 0.18/0.49  cnf(matrix-10, plain, ( p24(X46, X46) )).
% 0.18/0.49  cnf(matrix-11, plain, ( p23(X39, X39) )).
% 0.18/0.49  cnf(matrix-12, plain, ( p21(X36, X36) )).
% 0.18/0.49  cnf(matrix-13, plain, ( p2(X33, X33) )).
% 0.18/0.49  cnf(matrix-14, plain, ( p19(X26, X26) )).
% 0.18/0.49  cnf(matrix-15, plain, ( p17(X23, X23) )).
% 0.18/0.49  cnf(matrix-16, plain, ( p15(X16, X16) )).
% 0.18/0.49  cnf(matrix-17, plain, ( p14(X10, X10) )).
% 0.18/0.49  cnf(matrix-18, plain, ( p12(X3, X3) )).
% 0.18/0.49  cnf(matrix-19, plain, ( p33(c38, c39) )).
% 0.18/0.49  cnf(matrix-20, plain, ( p33(c43, c45) )).
% 0.18/0.49  cnf(matrix-21, plain, ( ~p7(c43, c44) )).
% 0.18/0.49  cnf(matrix-22, plain, ( p34(c40, f5(c41, c42)) )).
% 0.18/0.49  cnf(matrix-23, plain, ( p33(f11(c46, c39), f9(c47, c43)) )).
% 0.18/0.49  cnf(matrix-24, plain, ( ~p33(f11(c46, c50), f9(c47, c43)) )).
% 0.18/0.49  cnf(matrix-25, plain, ( p37(X96, X95) | ~p35(f30(c53, X95), X96) )).
% 0.18/0.49  cnf(matrix-26, plain, ( p36(X83, X82) | ~p33(f18(c51, X82), X83) )).
% 0.18/0.49  cnf(matrix-27, plain, ( p33(f18(c51, X82), X83) | ~p36(X83, X82) )).
% 0.18/0.49  cnf(matrix-28, plain, ( p35(f30(c53, X95), X96) | ~p37(X96, X95) )).
% 0.18/0.49  cnf(matrix-29, plain, ( p10(X1, X2) | ~p10(X0, X1) | ~p10(X0, X2) )).
% 0.18/0.49  cnf(matrix-30, plain, ( p8(X131, X132) | ~p8(X130, X131) | ~p8(X130, X132) )).
% 0.18/0.49  cnf(matrix-31, plain, ( p7(X116, X117) | ~p7(X115, X116) | ~p7(X115, X117) )).
% 0.18/0.49  cnf(matrix-32, plain, ( p6(X113, X114) | ~p6(X112, X113) | ~p6(X112, X114) )).
% 0.18/0.49  cnf(matrix-33, plain, ( p4(X106, X107) | ~p4(X105, X106) | ~p4(X105, X107) )).
% 0.18/0.49  cnf(matrix-34, plain, ( p31(X70, X71) | ~p31(X69, X70) | ~p31(X69, X71) )).
% 0.18/0.49  cnf(matrix-35, plain, ( p3(X67, X68) | ~p3(X66, X67) | ~p3(X66, X68) )).
% 0.18/0.49  cnf(matrix-36, plain, ( p29(X60, X61) | ~p29(X59, X60) | ~p29(X59, X61) )).
% 0.18/0.49  cnf(matrix-37, plain, ( p28(X57, X58) | ~p28(X56, X57) | ~p28(X56, X58) )).
% 0.18/0.49  cnf(matrix-38, plain, ( p26(X54, X55) | ~p26(X53, X54) | ~p26(X53, X55) )).
% 0.18/0.49  cnf(matrix-39, plain, ( p24(X47, X48) | ~p24(X46, X47) | ~p24(X46, X48) )).
% 0.18/0.49  cnf(matrix-40, plain, ( p23(X40, X41) | ~p23(X39, X40) | ~p23(X39, X41) )).
% 0.18/0.49  cnf(matrix-41, plain, ( p21(X37, X38) | ~p21(X36, X37) | ~p21(X36, X38) )).
% 0.18/0.49  cnf(matrix-42, plain, ( p2(X34, X35) | ~p2(X33, X34) | ~p2(X33, X35) )).
% 0.18/0.49  cnf(matrix-43, plain, ( p19(X27, X28) | ~p19(X26, X27) | ~p19(X26, X28) )).
% 0.18/0.49  cnf(matrix-44, plain, ( p17(X24, X25) | ~p17(X23, X25) | ~p17(X23, X24) )).
% 0.18/0.49  cnf(matrix-45, plain, ( p15(X17, X18) | ~p15(X16, X17) | ~p15(X16, X18) )).
% 0.18/0.49  cnf(matrix-46, plain, ( p14(X11, X12) | ~p14(X10, X11) | ~p14(X10, X12) )).
% 0.18/0.49  cnf(matrix-47, plain, ( p12(X4, X5) | ~p12(X3, X4) | ~p12(X3, X5) )).
% 0.18/0.49  cnf(matrix-48, plain, ( p33(c38, X78) | ~p33(f32(c55, f5(c41, c42)), X78) )).
% 0.18/0.49  cnf(matrix-49, plain, ( p33(f11(c46, f13(f16(c48, c49), c50)), f9(c47, c43)) )).
% 0.18/0.49  cnf(matrix-50, plain, ( p33(f11(c46, c39), X78) | ~p33(f32(c55, f5(c41, c42)), X78) )).
% 0.18/0.49  cnf(matrix-51, plain, ( p35(f30(c53, X92), f25(f27(c54, X94), X93)) | ~p7(X92, X94) )).
% 0.18/0.49  cnf(matrix-52, plain, ( p33(f18(c51, X13), f13(f16(c48, X14), X15)) | ~p15(X13, X14) )).
% 0.18/0.49  cnf(matrix-53, plain, ( p33(X72, X73) | ~p7(X74, X72) | ~p8(X75, X73) | ~p33(X74, X75) )).
% 0.18/0.49  cnf(matrix-54, plain, ( p37(X101, X102) | ~p37(X103, X104) | ~p7(X104, X102) | ~p24(X103, X101) )).
% 0.18/0.49  cnf(matrix-55, plain, ( p36(X97, X98) | ~p36(X100, X99) | ~p8(X100, X97) | ~p15(X99, X98) )).
% 0.18/0.49  cnf(matrix-56, plain, ( p35(X88, X89) | ~p29(X91, X88) | ~p35(X91, X90) | ~p24(X90, X89) )).
% 0.18/0.49  cnf(matrix-57, plain, ( p34(X84, X85) | ~p34(X86, X87) | ~p4(X87, X85) | ~p3(X86, X84) )).
% 0.18/0.49  cnf(matrix-58, plain, ( p33(c38, X76) | p33(c38, X77) | ~p33(c43, X76) | ~p33(c43, X77) )).
% 0.18/0.49  cnf(matrix-59, plain, ( p8(f9(X137, X138), f9(X139, X140)) | ~p6(X137, X139) | ~p7(X138, X140) )).
% 0.18/0.49  cnf(matrix-60, plain, ( p12(f16(X6, X7), f16(X8, X9)) | ~p14(X6, X8) | ~p15(X7, X9) )).
% 0.18/0.49  cnf(matrix-61, plain, ( p15(f20(X19, X20), f20(X21, X22)) | ~p19(X19, X21) | ~p8(X20, X22) )).
% 0.18/0.49  cnf(matrix-62, plain, ( p19(f22(X29, X30), f22(X31, X32)) | ~p21(X29, X31) | ~p8(X30, X32) )).
% 0.18/0.49  cnf(matrix-63, plain, ( p23(f27(X42, X43), f27(X44, X45)) | ~p26(X42, X44) | ~p7(X43, X45) )).
% 0.18/0.49  cnf(matrix-64, plain, ( p24(f25(X49, X50), f25(X51, X52)) | ~p23(X49, X51) | ~p24(X50, X52) )).
% 0.18/0.49  cnf(matrix-65, plain, ( p29(f30(X62, X63), f30(X64, X65)) | ~p28(X62, X64) | ~p7(X63, X65) )).
% 0.18/0.49  cnf(matrix-66, plain, ( p4(f5(X108, X109), f5(X110, X111)) | ~p2(X108, X110) | ~p3(X109, X111) )).
% 0.18/0.49  cnf(matrix-67, plain, ( p7(f11(X118, X119), f11(X120, X121)) | ~p10(X118, X120) | ~p8(X119, X121) )).
% 0.18/0.49  cnf(matrix-68, plain, ( p7(f18(X122, X123), f18(X124, X125)) | ~p15(X123, X125) | ~p17(X122, X124) )).
% 0.18/0.49  cnf(matrix-69, plain, ( p7(f32(X126, X127), f32(X128, X129)) | ~p31(X126, X128) | ~p4(X127, X129) )).
% 0.18/0.49  cnf(matrix-70, plain, ( p8(f13(X133, X134), f13(X135, X136)) | ~p12(X133, X135) | ~p8(X134, X136) )).
% 0.18/0.49  cnf(matrix-71, plain, ( p33(f11(c46, X79), X80) | p33(f18(c51, f20(f22(c52, X79), X80)), X79) )).
% 0.18/0.49  cnf(matrix-72, plain, ( p33(f11(c46, X79), X80) | ~p33(f18(c51, f20(f22(c52, X79), X80)), X80) )).
% 0.18/0.49  cnf(matrix-73, plain, ( p35(f30(c53, X92), f25(f27(c54, X94), X93)) | ~p35(f30(c53, X92), X93) )).
% 0.18/0.49  cnf(matrix-74, plain, ( p33(f18(c51, X13), f13(f16(c48, X14), X15)) | ~p33(f18(c51, X13), X15) )).
% 0.18/0.49  cnf(matrix-75, plain, ( p33(c38, X76) | p33(f11(c46, X76), X77) | ~p33(c43, X76) | ~p33(c43, X77) )).
% 0.18/0.49  cnf(matrix-76, plain, ( p33(c38, X77) | p33(f11(c46, X77), X76) | ~p33(c43, X76) | ~p33(c43, X77) )).
% 0.18/0.49  cnf(matrix-77, plain, ( p33(c38, X76) | p33(f11(c46, c39), X76) | ~p33(c43, X76) | ~p33(c43, X77) )).
% 0.18/0.49  cnf(matrix-78, plain, ( p33(c38, X77) | p33(f11(c46, c39), X77) | ~p33(c43, X76) | ~p33(c43, X77) )).
% 0.18/0.49  cnf(matrix-79, plain, ( p33(f18(c51, X81), X80) | ~p33(f11(c46, X79), X80) | ~p33(f18(c51, X81), X79) )).
% 0.18/0.49  cnf(matrix-80, plain, ( p33(f32(c55, f5(c41, c42)), X78) | ~p33(c38, X78) | ~p33(f11(c46, c39), X78) )).
% 0.18/0.49  cnf(matrix-81, plain, ( p33(f11(c46, X76), X77) | p33(f11(c46, X77), X76) | ~p33(c43, X76) | ~p33(c43, X77) )).
% 0.18/0.49  cnf(matrix-82, plain, ( p33(f11(c46, X76), X77) | p33(f11(c46, c39), X77) | ~p33(c43, X76) | ~p33(c43, X77) )).
% 0.18/0.49  cnf(matrix-83, plain, ( p33(f11(c46, X77), X76) | p33(f11(c46, c39), X76) | ~p33(c43, X76) | ~p33(c43, X77) )).
% 0.18/0.49  cnf(matrix-84, plain, ( p33(f11(c46, c39), X76) | p33(f11(c46, c39), X77) | ~p33(c43, X76) | ~p33(c43, X77) )).
% 0.18/0.49  cnf(matrix-85, plain, ( p15(X13, X14) | p33(f18(c51, X13), X15) | ~p33(f18(c51, X13), f13(f16(c48, X14), X15)) )).
% 0.18/0.49  cnf(matrix-86, plain, ( p7(X92, X94) | p35(f30(c53, X92), X93) | ~p35(f30(c53, X92), f25(f27(c54, X94), X93)) )).
% 0.18/0.49  
% 0.18/0.49  % Proof stack:
% 0.18/0.49  cnf(proof-stack, plain, 
% 0.18/0.49  proof_stack(
% 0.18/0.49  start(24), 
% 0.18/0.49  left_branch(0, 71, 0, 2), 
% 0.18/0.49  left_branch(0, 74, 1, 3), 
% 0.18/0.49  left_branch(0, 79, 2, 4), 
% 0.18/0.49  left_branch(0, 72, 1, 5), 
% 0.18/0.49  reduction(0, 0), 
% 0.18/0.49  right_branch(5), 
% 0.18/0.49  left_branch(0, 49, 0, 6), 
% 0.18/0.49  right_branch(6), 
% 0.18/0.49  right_branch(4), 
% 0.18/0.49  right_branch(3), 
% 0.18/0.49  right_branch(2)
% 0.18/0.49  )).
% 0.18/0.49  % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------