%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : LAT170-1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n019.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 01:02:18 PM UTC 2026
% Result : Unsatisfiable 70.64s 14.72s
% Output : CNFRefutation 26.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 17
% Syntax : Number of formulae : 118 ( 118 unt; 8 def)
% Number of atoms : 118 ( 117 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 : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 11 con; 0-2 aty)
% Number of variables : 91 ( 91 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X] : join(X,X) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X,Y] : meet(X,join(X,Y)) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X,Y] : join(X,meet(X,Y)) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [X,Y] : meet(X,Y) = meet(Y,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [X,Y] : join(X,Y) = join(Y,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [X,Y,Z] : meet(meet(X,Y),Z) = meet(X,meet(Y,Z)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [X,Y,Z] : join(join(X,Y),Z) = join(X,join(Y,Z)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [X,Y,Z,U] : join(X,meet(Y,join(Z,meet(X,U)))) = join(X,meet(Y,meet(join(X,Z),join(Z,meet(Y,U))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,negated_conjecture,
meet(a,join(b,c)) != meet(a,join(b,meet(join(a,b),join(c,meet(a,b))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
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] : join(X0,meet(X1,join(X2,meet(X0,X3)))) = join(X0,meet(X1,meet(join(X0,X2),join(X2,meet(X1,X3))))),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f20,plain,
meet(a,join(b,c)) != meet(a,join(b,meet(join(a,b),join(c,meet(a,b))))),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f21,definition,
sF1_fnc = join(b,c),
introduced(definition,[new_symbols(definition,[sF1_fnc])],[function_definition]) ).
fof(f22,definition,
sF0_fnc = meet(a,sF1_fnc),
introduced(definition,[new_symbols(definition,[sF0_fnc])],[function_definition]) ).
fof(f23,definition,
sF5_fnc = join(a,b),
introduced(definition,[new_symbols(definition,[sF5_fnc])],[function_definition]) ).
fof(f24,definition,
sF7_fnc = meet(a,b),
introduced(definition,[new_symbols(definition,[sF7_fnc])],[function_definition]) ).
fof(f25,definition,
sF6_fnc = join(c,sF7_fnc),
introduced(definition,[new_symbols(definition,[sF6_fnc])],[function_definition]) ).
fof(f26,definition,
sF4_fnc = meet(sF5_fnc,sF6_fnc),
introduced(definition,[new_symbols(definition,[sF4_fnc])],[function_definition]) ).
fof(f27,definition,
sF3_fnc = join(b,sF4_fnc),
introduced(definition,[new_symbols(definition,[sF3_fnc])],[function_definition]) ).
fof(f28,definition,
sF2_fnc = meet(a,sF3_fnc),
introduced(definition,[new_symbols(definition,[sF2_fnc])],[function_definition]) ).
fof(f29,plain,
sF0_fnc != sF2_fnc,
inference(definition_folding,[],[f20,f28,f27,f26,f25,f24,f23,f22,f21]) ).
fof(f30,plain,
meet(a,sF5_fnc) = a,
inference(paramodulation,[status(thm)],[f23,f13]) ).
fof(f31,plain,
meet(b,sF1_fnc) = b,
inference(paramodulation,[status(thm)],[f21,f13]) ).
fof(f33,plain,
meet(c,sF6_fnc) = c,
inference(paramodulation,[status(thm)],[f25,f13]) ).
fof(f43,plain,
meet(b,sF3_fnc) = b,
inference(paramodulation,[status(thm)],[f27,f13]) ).
fof(f53,plain,
! [X0,X1] : join(X0,meet(X1,X0)) = X0,
inference(paramodulation,[status(thm)],[f15,f14]) ).
fof(f57,plain,
join(sF6_fnc,c) = sF6_fnc,
inference(paramodulation,[status(thm)],[f33,f53]) ).
fof(f58,plain,
join(sF3_fnc,b) = sF3_fnc,
inference(paramodulation,[status(thm)],[f43,f53]) ).
fof(f60,plain,
join(sF6_fnc,sF4_fnc) = sF6_fnc,
inference(paramodulation,[status(thm)],[f26,f53]) ).
fof(f62,plain,
join(sF3_fnc,sF2_fnc) = sF3_fnc,
inference(paramodulation,[status(thm)],[f28,f53]) ).
fof(f65,plain,
! [X0,X1] : join(join(X0,X1),X0) = join(X0,X1),
inference(paramodulation,[status(thm)],[f13,f53]) ).
fof(f71,plain,
! [X0,X1] : join(X0,join(X1,X0)) = join(X0,X1),
inference(forward_demodulation,[status(thm)],[f18,f65]) ).
fof(f77,plain,
sF3_fnc = join(b,sF3_fnc),
inference(paramodulation,[status(thm)],[f58,f16]) ).
fof(f78,plain,
sF6_fnc = join(sF4_fnc,sF6_fnc),
inference(paramodulation,[status(thm)],[f60,f16]) ).
fof(f79,plain,
sF6_fnc = join(c,sF6_fnc),
inference(paramodulation,[status(thm)],[f57,f16]) ).
fof(f95,plain,
! [X0,X1] : meet(X0,join(X1,X0)) = X0,
inference(paramodulation,[status(thm)],[f16,f13]) ).
fof(f107,plain,
join(sF2_fnc,sF3_fnc) = sF3_fnc,
inference(paramodulation,[status(thm)],[f16,f62]) ).
fof(f120,plain,
! [X0,X1,X2] : meet(X0,X1) = meet(X0,meet(X1,join(meet(X0,X1),X2))),
inference(paramodulation,[status(thm)],[f13,f17]) ).
fof(f121,plain,
! [X0,X1,X2] : meet(X0,meet(X1,X2)) = meet(X1,meet(X2,X0)),
inference(paramodulation,[status(thm)],[f15,f17]) ).
fof(f128,plain,
! [X0] : meet(sF4_fnc,X0) = meet(sF5_fnc,meet(sF6_fnc,X0)),
inference(paramodulation,[status(thm)],[f26,f17]) ).
fof(f129,plain,
! [X0] : meet(a,X0) = meet(a,meet(sF5_fnc,X0)),
inference(paramodulation,[status(thm)],[f30,f17]) ).
fof(f131,plain,
! [X0] : meet(sF7_fnc,X0) = meet(a,meet(b,X0)),
inference(paramodulation,[status(thm)],[f24,f17]) ).
fof(f132,plain,
! [X0] : meet(sF0_fnc,X0) = meet(a,meet(sF1_fnc,X0)),
inference(paramodulation,[status(thm)],[f22,f17]) ).
fof(f153,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(X1,join(X2,X0)),
inference(paramodulation,[status(thm)],[f16,f18]) ).
fof(f170,plain,
! [X0] : join(sF6_fnc,X0) = join(c,join(sF7_fnc,X0)),
inference(paramodulation,[status(thm)],[f25,f18]) ).
fof(f179,plain,
! [X0] : join(sF3_fnc,X0) = join(b,join(sF4_fnc,X0)),
inference(paramodulation,[status(thm)],[f27,f18]) ).
fof(f180,plain,
! [X0] : join(sF1_fnc,X0) = join(b,join(c,X0)),
inference(paramodulation,[status(thm)],[f21,f18]) ).
fof(f210,plain,
! [X0,X1,X2] : meet(X0,join(X1,join(X2,X0))) = X0,
inference(paramodulation,[status(thm)],[f18,f95]) ).
fof(f224,plain,
meet(sF7_fnc,sF6_fnc) = sF7_fnc,
inference(paramodulation,[status(thm)],[f25,f95]) ).
fof(f229,plain,
meet(b,sF5_fnc) = b,
inference(paramodulation,[status(thm)],[f23,f95]) ).
fof(f234,plain,
meet(c,sF1_fnc) = c,
inference(paramodulation,[status(thm)],[f21,f95]) ).
fof(f236,plain,
! [X0,X1] : meet(meet(X0,X1),X0) = meet(X0,X1),
inference(paramodulation,[status(thm)],[f14,f95]) ).
fof(f247,plain,
! [X0,X1] : meet(X0,meet(X1,X0)) = meet(X0,X1),
inference(forward_demodulation,[status(thm)],[f17,f236]) ).
fof(f249,plain,
meet(sF6_fnc,sF7_fnc) = sF7_fnc,
inference(paramodulation,[status(thm)],[f15,f224]) ).
fof(f312,plain,
! [X0,X1] : join(X0,meet(a,join(X1,meet(X0,b)))) = join(X0,meet(a,meet(join(X0,X1),join(X1,sF7_fnc)))),
inference(paramodulation,[status(thm)],[f24,f19]) ).
fof(f533,plain,
join(sF1_fnc,c) = sF1_fnc,
inference(paramodulation,[status(thm)],[f234,f53]) ).
fof(f700,plain,
join(c,sF1_fnc) = sF1_fnc,
inference(paramodulation,[status(thm)],[f16,f533]) ).
fof(f750,plain,
meet(sF4_fnc,sF7_fnc) = meet(sF5_fnc,sF7_fnc),
inference(paramodulation,[status(thm)],[f249,f128]) ).
fof(f827,plain,
join(c,sF1_fnc) = join(c,b),
inference(paramodulation,[status(thm)],[f21,f71]) ).
fof(f854,plain,
sF1_fnc = join(c,b),
inference(forward_demodulation,[status(thm)],[f700,f827]) ).
fof(f1335,plain,
! [X0,X1,X2,X3] : meet(X0,X1) = meet(X1,meet(join(X2,join(X3,X1)),X0)),
inference(paramodulation,[status(thm)],[f210,f121]) ).
fof(f1336,plain,
! [X0,X1,X2,X3] : meet(X0,join(X1,join(X2,X0))) = meet(X0,meet(join(X1,join(X2,X0)),join(X0,X3))),
inference(paramodulation,[status(thm)],[f210,f120]) ).
fof(f1351,plain,
! [X0,X1,X2,X3] : X0 = meet(X0,meet(join(X1,join(X2,X0)),join(X0,X3))),
inference(forward_demodulation,[status(thm)],[f210,f1336]) ).
fof(f1356,plain,
! [X0,X1] : X0 = meet(join(X0,X1),X0),
inference(forward_demodulation,[status(thm)],[f1335,f1351]) ).
fof(f1385,plain,
sF2_fnc = meet(sF3_fnc,sF2_fnc),
inference(paramodulation,[status(thm)],[f107,f1356]) ).
fof(f1411,plain,
b = meet(sF3_fnc,b),
inference(paramodulation,[status(thm)],[f77,f1356]) ).
fof(f1421,plain,
! [X0,X1] : X0 = meet(join(X1,X0),X0),
inference(paramodulation,[status(thm)],[f16,f1356]) ).
fof(f1470,plain,
meet(sF7_fnc,sF5_fnc) = meet(a,b),
inference(paramodulation,[status(thm)],[f229,f131]) ).
fof(f1472,plain,
meet(sF7_fnc,sF1_fnc) = meet(a,b),
inference(paramodulation,[status(thm)],[f31,f131]) ).
fof(f1502,plain,
meet(sF7_fnc,sF5_fnc) = sF7_fnc,
inference(forward_demodulation,[status(thm)],[f24,f1470]) ).
fof(f1504,plain,
meet(sF7_fnc,sF1_fnc) = sF7_fnc,
inference(forward_demodulation,[status(thm)],[f24,f1472]) ).
fof(f1725,plain,
meet(sF5_fnc,sF7_fnc) = sF7_fnc,
inference(paramodulation,[status(thm)],[f15,f1502]) ).
fof(f1738,plain,
meet(sF4_fnc,sF7_fnc) = sF7_fnc,
inference(backward_demodulation,[status(thm)],[f1725,f750]) ).
fof(f1769,plain,
join(sF1_fnc,sF7_fnc) = sF1_fnc,
inference(paramodulation,[status(thm)],[f1504,f53]) ).
fof(f1937,plain,
join(sF4_fnc,sF7_fnc) = sF4_fnc,
inference(paramodulation,[status(thm)],[f1738,f14]) ).
fof(f3113,plain,
! [X0,X1] : join(X0,X1) = join(X1,join(X1,X0)),
inference(paramodulation,[status(thm)],[f12,f153]) ).
fof(f3989,plain,
join(sF3_fnc,sF6_fnc) = join(b,sF6_fnc),
inference(paramodulation,[status(thm)],[f78,f179]) ).
fof(f3996,plain,
! [X0] : join(sF3_fnc,meet(X0,sF4_fnc)) = join(b,sF4_fnc),
inference(paramodulation,[status(thm)],[f53,f179]) ).
fof(f4032,plain,
! [X0] : join(sF3_fnc,meet(X0,sF4_fnc)) = sF3_fnc,
inference(forward_demodulation,[status(thm)],[f27,f3996]) ).
fof(f4208,plain,
join(sF1_fnc,sF6_fnc) = join(b,sF6_fnc),
inference(paramodulation,[status(thm)],[f79,f180]) ).
fof(f4209,plain,
join(sF1_fnc,sF7_fnc) = join(b,sF6_fnc),
inference(paramodulation,[status(thm)],[f25,f180]) ).
fof(f4248,plain,
join(sF1_fnc,sF6_fnc) = sF1_fnc,
inference(backward_demodulation,[status(thm)],[f4250,f4208]) ).
fof(f4249,plain,
join(sF3_fnc,sF6_fnc) = sF1_fnc,
inference(backward_demodulation,[status(thm)],[f4250,f3989]) ).
fof(f4250,plain,
sF1_fnc = join(b,sF6_fnc),
inference(forward_demodulation,[status(thm)],[f1769,f4209]) ).
fof(f4284,plain,
sF6_fnc = meet(sF1_fnc,sF6_fnc),
inference(paramodulation,[status(thm)],[f4248,f1421]) ).
fof(f4321,plain,
meet(sF0_fnc,sF6_fnc) = meet(a,sF6_fnc),
inference(paramodulation,[status(thm)],[f4284,f132]) ).
fof(f4615,plain,
sF3_fnc = meet(sF1_fnc,sF3_fnc),
inference(paramodulation,[status(thm)],[f4249,f1356]) ).
fof(f4650,plain,
meet(sF0_fnc,sF3_fnc) = meet(a,sF3_fnc),
inference(paramodulation,[status(thm)],[f4615,f132]) ).
fof(f4664,plain,
meet(sF0_fnc,sF3_fnc) = sF2_fnc,
inference(forward_demodulation,[status(thm)],[f28,f4650]) ).
fof(f4674,plain,
meet(sF3_fnc,sF2_fnc) = meet(sF3_fnc,sF0_fnc),
inference(paramodulation,[status(thm)],[f4664,f247]) ).
fof(f4684,plain,
sF2_fnc = meet(sF3_fnc,sF0_fnc),
inference(forward_demodulation,[status(thm)],[f1385,f4674]) ).
fof(f7918,plain,
join(sF7_fnc,sF4_fnc) = join(sF4_fnc,sF4_fnc),
inference(paramodulation,[status(thm)],[f1937,f3113]) ).
fof(f8063,plain,
join(sF7_fnc,sF4_fnc) = sF4_fnc,
inference(forward_demodulation,[status(thm)],[f12,f7918]) ).
fof(f8904,plain,
join(sF6_fnc,sF4_fnc) = join(c,sF4_fnc),
inference(paramodulation,[status(thm)],[f8063,f170]) ).
fof(f8933,plain,
sF6_fnc = join(c,sF4_fnc),
inference(forward_demodulation,[status(thm)],[f60,f8904]) ).
fof(f10666,plain,
join(sF4_fnc,c) = join(c,sF6_fnc),
inference(paramodulation,[status(thm)],[f8933,f3113]) ).
fof(f10691,plain,
join(sF4_fnc,c) = sF6_fnc,
inference(forward_demodulation,[status(thm)],[f79,f10666]) ).
fof(f11438,plain,
join(sF3_fnc,c) = join(b,sF6_fnc),
inference(paramodulation,[status(thm)],[f10691,f179]) ).
fof(f11463,plain,
join(sF3_fnc,c) = sF1_fnc,
inference(forward_demodulation,[status(thm)],[f4250,f11438]) ).
fof(f21869,plain,
join(sF3_fnc,meet(a,join(c,meet(sF3_fnc,b)))) = join(sF3_fnc,meet(a,meet(sF1_fnc,join(c,sF7_fnc)))),
inference(paramodulation,[status(thm)],[f11463,f312]) ).
fof(f22171,plain,
join(sF3_fnc,meet(a,join(c,b))) = join(sF3_fnc,meet(a,meet(sF1_fnc,join(c,sF7_fnc)))),
inference(forward_demodulation,[status(thm)],[f1411,f21869]) ).
fof(f22172,plain,
join(sF3_fnc,meet(a,sF1_fnc)) = join(sF3_fnc,meet(a,meet(sF1_fnc,join(c,sF7_fnc)))),
inference(forward_demodulation,[status(thm)],[f854,f22171]) ).
fof(f22173,plain,
join(sF3_fnc,sF0_fnc) = join(sF3_fnc,meet(a,meet(sF1_fnc,join(c,sF7_fnc)))),
inference(forward_demodulation,[status(thm)],[f22,f22172]) ).
fof(f22174,plain,
join(sF3_fnc,sF0_fnc) = join(sF3_fnc,meet(sF0_fnc,join(c,sF7_fnc))),
inference(forward_demodulation,[status(thm)],[f132,f22173]) ).
fof(f22175,plain,
join(sF3_fnc,sF0_fnc) = join(sF3_fnc,meet(sF0_fnc,sF6_fnc)),
inference(forward_demodulation,[status(thm)],[f25,f22174]) ).
fof(f22176,plain,
join(sF3_fnc,sF0_fnc) = join(sF3_fnc,meet(a,sF6_fnc)),
inference(forward_demodulation,[status(thm)],[f4321,f22175]) ).
fof(f37105,plain,
meet(a,sF6_fnc) = meet(a,sF4_fnc),
inference(paramodulation,[status(thm)],[f26,f129]) ).
fof(f37179,plain,
join(sF3_fnc,sF0_fnc) = join(sF3_fnc,meet(a,sF4_fnc)),
inference(backward_demodulation,[status(thm)],[f37105,f22176]) ).
fof(f37248,plain,
join(sF3_fnc,sF0_fnc) = sF3_fnc,
inference(forward_demodulation,[status(thm)],[f4032,f37179]) ).
fof(f37314,plain,
sF0_fnc = meet(sF3_fnc,sF0_fnc),
inference(paramodulation,[status(thm)],[f37248,f1421]) ).
fof(f37342,plain,
sF2_fnc = sF0_fnc,
inference(backward_demodulation,[status(thm)],[f37314,f4684]) ).
fof(f37350,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f37342,f29]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LAT170-1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/5.66 % Computer : n019.cluster.edu
% 0.17/5.66 % Model : x86_64 x86_64
% 0.17/5.66 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/5.66 % Memory : 8046.5625MB
% 0.17/5.66 % OS : Linux 6.8.0-71-generic
% 0.17/5.67 % CPULimit : 300
% 0.17/5.67 % WCLimit : 300
% 0.17/5.67 % DateTime : Sun Sep 20 23:17:42 UTC 2026
% 0.17/5.67 % CPUTime :
% 0.17/5.68 % Drodi V4.1.1
% 70.64/14.72 % Refutation found
% 70.64/14.72 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 70.64/14.72 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 26.32/14.87 % Elapsed time: 9.184363 seconds
% 26.32/14.87 % CPU time: 72.294831 seconds
% 26.32/14.87 % Total memory used: 422.023 MB
% 26.32/14.87 % Net memory used: 410.503 MB
%------------------------------------------------------------------------------