%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : LAT154-1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 01:02:17 PM UTC 2026
% Result : Unsatisfiable 106.33s 14.00s
% Output : CNFRefutation 106.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 19
% Syntax : Number of formulae : 101 ( 101 unt; 9 def)
% Number of atoms : 101 ( 100 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 12 con; 0-2 aty)
% Number of variables : 73 ( 73 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X] : meet(X,X) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X] : join(X,X) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X,Y] : meet(X,join(X,Y)) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X,Y] : join(X,meet(X,Y)) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [X,Y] : meet(X,Y) = meet(Y,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [X,Y] : join(X,Y) = join(Y,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [X,Y,Z] : meet(meet(X,Y),Z) = meet(X,meet(Y,Z)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [X,Y,Z] : join(join(X,Y),Z) = join(X,join(Y,Z)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [X,Y,Z,U] : meet(X,join(Y,meet(Z,join(X,U)))) = meet(X,join(Y,meet(Z,join(Y,join(U,meet(X,Z)))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,negated_conjecture,
meet(a,join(b,meet(a,c))) != meet(a,join(meet(a,join(b,meet(a,c))),meet(c,join(a,b)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,plain,
! [X0] : meet(X0,X0) = X0,
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f12,plain,
! [X0] : join(X0,X0) = X0,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f13,plain,
! [X0,X1] : meet(X0,join(X0,X1)) = X0,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f14,plain,
! [X0,X1] : join(X0,meet(X0,X1)) = X0,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f15,plain,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f16,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f17,plain,
! [X0,X1,X2] : meet(meet(X0,X1),X2) = meet(X0,meet(X1,X2)),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f18,plain,
! [X0,X1,X2] : join(join(X0,X1),X2) = join(X0,join(X1,X2)),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f19,plain,
! [X0,X1,X2,X3] : meet(X0,join(X1,meet(X2,join(X0,X3)))) = meet(X0,join(X1,meet(X2,join(X1,join(X3,meet(X0,X2)))))),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f20,plain,
meet(a,join(b,meet(a,c))) != meet(a,join(meet(a,join(b,meet(a,c))),meet(c,join(a,b)))),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f21,definition,
sF2_fnc = meet(a,c),
introduced(definition,[new_symbols(definition,[sF2_fnc])],[function_definition]) ).
fof(f22,definition,
sF1_fnc = join(b,sF2_fnc),
introduced(definition,[new_symbols(definition,[sF1_fnc])],[function_definition]) ).
fof(f23,definition,
sF0_fnc = meet(a,sF1_fnc),
introduced(definition,[new_symbols(definition,[sF0_fnc])],[function_definition]) ).
fof(f24,definition,
sF6_fnc = join(b,sF2_fnc),
introduced(definition,[new_symbols(definition,[sF6_fnc])],[function_definition]) ).
fof(f25,definition,
sF5_fnc = meet(a,sF6_fnc),
introduced(definition,[new_symbols(definition,[sF5_fnc])],[function_definition]) ).
fof(f26,definition,
sF8_fnc = join(a,b),
introduced(definition,[new_symbols(definition,[sF8_fnc])],[function_definition]) ).
fof(f27,definition,
sF7_fnc = meet(c,sF8_fnc),
introduced(definition,[new_symbols(definition,[sF7_fnc])],[function_definition]) ).
fof(f28,definition,
sF4_fnc = join(sF5_fnc,sF7_fnc),
introduced(definition,[new_symbols(definition,[sF4_fnc])],[function_definition]) ).
fof(f29,definition,
sF3_fnc = meet(a,sF4_fnc),
introduced(definition,[new_symbols(definition,[sF3_fnc])],[function_definition]) ).
fof(f30,plain,
sF0_fnc != sF3_fnc,
inference(definition_folding,[],[f20,f29,f28,f27,f26,f25,f24,f23,f22,f21]) ).
fof(f31,plain,
sF6_fnc = sF1_fnc,
inference(forward_demodulation,[status(thm)],[f22,f24]) ).
fof(f32,plain,
sF5_fnc = meet(a,sF1_fnc),
inference(forward_demodulation,[status(thm)],[f31,f25]) ).
fof(f33,plain,
sF5_fnc = sF0_fnc,
inference(forward_demodulation,[status(thm)],[f23,f32]) ).
fof(f34,plain,
meet(a,sF8_fnc) = a,
inference(paramodulation,[status(thm)],[f26,f13]) ).
fof(f37,plain,
join(a,sF0_fnc) = a,
inference(paramodulation,[status(thm)],[f23,f14]) ).
fof(f38,plain,
join(a,sF2_fnc) = a,
inference(paramodulation,[status(thm)],[f21,f14]) ).
fof(f42,plain,
sF2_fnc = meet(c,a),
inference(paramodulation,[status(thm)],[f21,f15]) ).
fof(f49,plain,
! [X0,X1] : join(X0,meet(X1,X0)) = X0,
inference(paramodulation,[status(thm)],[f15,f14]) ).
fof(f52,plain,
sF8_fnc = join(b,a),
inference(paramodulation,[status(thm)],[f26,f16]) ).
fof(f59,plain,
! [X0,X1] : meet(X0,join(X1,X0)) = X0,
inference(paramodulation,[status(thm)],[f16,f13]) ).
fof(f63,plain,
sF4_fnc = join(sF0_fnc,sF7_fnc),
inference(forward_demodulation,[status(thm)],[f33,f28]) ).
fof(f64,plain,
meet(sF0_fnc,sF4_fnc) = sF0_fnc,
inference(paramodulation,[status(thm)],[f63,f13]) ).
fof(f65,plain,
join(a,sF3_fnc) = a,
inference(paramodulation,[status(thm)],[f29,f14]) ).
fof(f70,plain,
! [X0,X1,X2] : meet(X0,meet(X1,X2)) = meet(X1,meet(X2,X0)),
inference(paramodulation,[status(thm)],[f15,f17]) ).
fof(f72,plain,
! [X0,X1] : meet(X0,X1) = meet(X0,meet(X1,meet(X0,X1))),
inference(paramodulation,[status(thm)],[f11,f17]) ).
fof(f77,plain,
! [X0] : meet(sF3_fnc,X0) = meet(a,meet(sF4_fnc,X0)),
inference(paramodulation,[status(thm)],[f29,f17]) ).
fof(f78,plain,
! [X0] : meet(sF0_fnc,X0) = meet(a,meet(sF1_fnc,X0)),
inference(paramodulation,[status(thm)],[f23,f17]) ).
fof(f119,plain,
! [X0,X1,X2] : join(X0,join(X1,meet(X2,join(X0,X1)))) = join(X0,X1),
inference(paramodulation,[status(thm)],[f18,f49]) ).
fof(f121,plain,
! [X0,X1,X2] : join(X0,meet(X1,meet(X2,X0))) = X0,
inference(paramodulation,[status(thm)],[f17,f49]) ).
fof(f126,plain,
join(sF4_fnc,sF3_fnc) = sF4_fnc,
inference(paramodulation,[status(thm)],[f29,f49]) ).
fof(f127,plain,
join(sF1_fnc,sF0_fnc) = sF1_fnc,
inference(paramodulation,[status(thm)],[f23,f49]) ).
fof(f129,plain,
! [X0,X1] : join(join(X0,X1),X0) = join(X0,X1),
inference(paramodulation,[status(thm)],[f13,f49]) ).
fof(f137,plain,
! [X0,X1] : join(X0,join(X1,X0)) = join(X0,X1),
inference(forward_demodulation,[status(thm)],[f18,f129]) ).
fof(f138,plain,
! [X0] : join(sF8_fnc,X0) = join(b,join(a,X0)),
inference(paramodulation,[status(thm)],[f52,f18]) ).
fof(f143,plain,
meet(sF7_fnc,sF4_fnc) = sF7_fnc,
inference(paramodulation,[status(thm)],[f63,f59]) ).
fof(f144,plain,
meet(sF2_fnc,a) = sF2_fnc,
inference(paramodulation,[status(thm)],[f38,f59]) ).
fof(f145,plain,
meet(sF0_fnc,a) = sF0_fnc,
inference(paramodulation,[status(thm)],[f37,f59]) ).
fof(f157,plain,
! [X0,X1,X2] : meet(X0,X1) = meet(X0,meet(join(X2,X0),X1)),
inference(paramodulation,[status(thm)],[f59,f17]) ).
fof(f168,plain,
meet(sF3_fnc,a) = sF3_fnc,
inference(paramodulation,[status(thm)],[f65,f59]) ).
fof(f205,plain,
! [X0,X1] : meet(a,join(X0,meet(c,join(a,X1)))) = meet(a,join(X0,meet(c,join(X0,join(X1,sF2_fnc))))),
inference(paramodulation,[status(thm)],[f21,f19]) ).
fof(f326,plain,
! [X0] : meet(sF4_fnc,meet(X0,sF0_fnc)) = meet(X0,sF0_fnc),
inference(paramodulation,[status(thm)],[f64,f70]) ).
fof(f332,plain,
! [X0] : meet(sF4_fnc,meet(X0,a)) = meet(X0,sF3_fnc),
inference(paramodulation,[status(thm)],[f29,f70]) ).
fof(f406,plain,
meet(sF3_fnc,sF4_fnc) = sF3_fnc,
inference(paramodulation,[status(thm)],[f126,f59]) ).
fof(f413,plain,
meet(sF0_fnc,sF1_fnc) = sF0_fnc,
inference(paramodulation,[status(thm)],[f127,f59]) ).
fof(f473,plain,
join(sF4_fnc,sF7_fnc) = sF4_fnc,
inference(paramodulation,[status(thm)],[f143,f49]) ).
fof(f491,plain,
meet(a,sF0_fnc) = sF0_fnc,
inference(paramodulation,[status(thm)],[f15,f145]) ).
fof(f537,plain,
! [X0] : meet(X0,sF3_fnc) = meet(sF3_fnc,meet(a,X0)),
inference(paramodulation,[status(thm)],[f168,f70]) ).
fof(f729,plain,
meet(sF4_fnc,a) = meet(sF4_fnc,meet(sF3_fnc,a)),
inference(paramodulation,[status(thm)],[f77,f72]) ).
fof(f754,plain,
meet(sF4_fnc,a) = meet(sF4_fnc,sF3_fnc),
inference(forward_demodulation,[status(thm)],[f168,f729]) ).
fof(f784,plain,
meet(sF1_fnc,a) = meet(sF1_fnc,meet(sF0_fnc,a)),
inference(paramodulation,[status(thm)],[f78,f72]) ).
fof(f809,plain,
meet(sF1_fnc,a) = meet(sF1_fnc,sF0_fnc),
inference(forward_demodulation,[status(thm)],[f145,f784]) ).
fof(f1627,plain,
! [X0] : join(sF8_fnc,meet(X0,a)) = sF8_fnc,
inference(paramodulation,[status(thm)],[f34,f121]) ).
fof(f1692,plain,
join(sF7_fnc,sF4_fnc) = join(sF7_fnc,sF0_fnc),
inference(paramodulation,[status(thm)],[f63,f137]) ).
fof(f4471,plain,
join(sF8_fnc,sF2_fnc) = sF8_fnc,
inference(paramodulation,[status(thm)],[f144,f1627]) ).
fof(f17640,plain,
meet(a,join(b,meet(c,join(a,a)))) = meet(a,join(b,meet(c,join(sF8_fnc,sF2_fnc)))),
inference(paramodulation,[status(thm)],[f138,f205]) ).
fof(f17713,plain,
meet(a,join(b,meet(c,a))) = meet(a,join(b,meet(c,join(sF8_fnc,sF2_fnc)))),
inference(forward_demodulation,[status(thm)],[f12,f17640]) ).
fof(f17714,plain,
meet(a,join(b,sF2_fnc)) = meet(a,join(b,meet(c,join(sF8_fnc,sF2_fnc)))),
inference(forward_demodulation,[status(thm)],[f42,f17713]) ).
fof(f17715,plain,
meet(a,sF1_fnc) = meet(a,join(b,meet(c,join(sF8_fnc,sF2_fnc)))),
inference(forward_demodulation,[status(thm)],[f22,f17714]) ).
fof(f17716,plain,
sF0_fnc = meet(a,join(b,meet(c,join(sF8_fnc,sF2_fnc)))),
inference(forward_demodulation,[status(thm)],[f23,f17715]) ).
fof(f17717,plain,
sF0_fnc = meet(a,join(b,meet(c,sF8_fnc))),
inference(forward_demodulation,[status(thm)],[f4471,f17716]) ).
fof(f17718,plain,
sF0_fnc = meet(a,join(b,sF7_fnc)),
inference(forward_demodulation,[status(thm)],[f27,f17717]) ).
fof(f21307,plain,
meet(sF4_fnc,a) = meet(sF3_fnc,sF4_fnc),
inference(paramodulation,[status(thm)],[f15,f754]) ).
fof(f21345,plain,
meet(sF4_fnc,a) = sF3_fnc,
inference(forward_demodulation,[status(thm)],[f406,f21307]) ).
fof(f22457,plain,
meet(sF1_fnc,a) = meet(sF0_fnc,sF1_fnc),
inference(paramodulation,[status(thm)],[f15,f809]) ).
fof(f22498,plain,
meet(sF1_fnc,a) = sF0_fnc,
inference(forward_demodulation,[status(thm)],[f413,f22457]) ).
fof(f22522,plain,
sF0_fnc = meet(sF1_fnc,sF0_fnc),
inference(backward_demodulation,[status(thm)],[f22498,f809]) ).
fof(f24662,plain,
join(sF4_fnc,sF7_fnc) = join(sF7_fnc,sF0_fnc),
inference(paramodulation,[status(thm)],[f16,f1692]) ).
fof(f24697,plain,
sF4_fnc = join(sF7_fnc,sF0_fnc),
inference(forward_demodulation,[status(thm)],[f473,f24662]) ).
fof(f27673,plain,
join(b,join(sF7_fnc,sF0_fnc)) = join(b,sF7_fnc),
inference(paramodulation,[status(thm)],[f17718,f119]) ).
fof(f27708,plain,
join(b,sF4_fnc) = join(b,sF7_fnc),
inference(forward_demodulation,[status(thm)],[f24697,f27673]) ).
fof(f28086,plain,
sF0_fnc = meet(a,join(b,sF4_fnc)),
inference(backward_demodulation,[status(thm)],[f27708,f17718]) ).
fof(f31991,plain,
meet(sF4_fnc,sF0_fnc) = meet(sF1_fnc,sF0_fnc),
inference(paramodulation,[status(thm)],[f22522,f326]) ).
fof(f32056,plain,
meet(sF4_fnc,sF0_fnc) = sF0_fnc,
inference(forward_demodulation,[status(thm)],[f22522,f31991]) ).
fof(f32138,plain,
meet(sF3_fnc,sF0_fnc) = meet(a,sF0_fnc),
inference(paramodulation,[status(thm)],[f32056,f77]) ).
fof(f32182,plain,
meet(sF3_fnc,sF0_fnc) = sF0_fnc,
inference(forward_demodulation,[status(thm)],[f491,f32138]) ).
fof(f40540,plain,
! [X0] : meet(sF4_fnc,a) = meet(join(X0,sF4_fnc),sF3_fnc),
inference(paramodulation,[status(thm)],[f157,f332]) ).
fof(f40625,plain,
! [X0] : sF3_fnc = meet(join(X0,sF4_fnc),sF3_fnc),
inference(forward_demodulation,[status(thm)],[f21345,f40540]) ).
fof(f87379,plain,
meet(join(b,sF4_fnc),sF3_fnc) = meet(sF3_fnc,sF0_fnc),
inference(paramodulation,[status(thm)],[f28086,f537]) ).
fof(f87632,plain,
sF3_fnc = meet(sF3_fnc,sF0_fnc),
inference(forward_demodulation,[status(thm)],[f40625,f87379]) ).
fof(f87633,plain,
sF3_fnc = sF0_fnc,
inference(forward_demodulation,[status(thm)],[f32182,f87632]) ).
fof(f87634,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f87633,f30]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LAT154-1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.44 % Computer : n009.cluster.edu
% 0.18/0.44 % Model : x86_64 x86_64
% 0.18/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.44 % Memory : 8046.5625MB
% 0.18/0.44 % OS : Linux 6.8.0-71-generic
% 0.18/0.44 % CPULimit : 300
% 0.18/0.44 % WCLimit : 300
% 0.18/0.44 % DateTime : Sun Sep 20 23:16:12 UTC 2026
% 0.18/0.45 % CPUTime :
% 0.18/0.46 % Drodi V4.1.1
% 106.33/14.00 % Refutation found
% 106.33/14.00 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 106.33/14.00 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 13.32/14.09 % Elapsed time: 13.625262 seconds
% 13.32/14.09 % CPU time: 107.634290 seconds
% 13.32/14.09 % Total memory used: 456.586 MB
% 13.32/14.09 % Net memory used: 446.188 MB
%------------------------------------------------------------------------------