%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : LAT171-1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n004.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 8.66s 1.60s
% Output : CNFRefutation 8.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 17
% Syntax : Number of formulae : 85 ( 85 unt; 9 def)
% Number of atoms : 85 ( 84 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 6 ( 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 : 57 ( 57 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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] : join(meet(X,Y),meet(X,Z)) = meet(X,join(meet(X,Y),meet(join(X,Y),Z))),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p') ).
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] : join(meet(X0,X1),meet(X0,X2)) = meet(X0,join(meet(X0,X1),meet(join(X0,X1),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,
sF0_fnc = meet(a,sF6_fnc),
inference(backward_demodulation,[status(thm)],[f33,f23]) ).
fof(f32,plain,
sF6_fnc = join(b,sF2_fnc),
inference(backward_demodulation,[status(thm)],[f33,f22]) ).
fof(f33,plain,
sF6_fnc = sF1_fnc,
inference(forward_demodulation,[status(thm)],[f22,f24]) ).
fof(f35,plain,
join(a,sF2_fnc) = a,
inference(paramodulation,[status(thm)],[f21,f14]) ).
fof(f40,plain,
! [X0,X1] : X0 = meet(join(X0,X1),X0),
inference(paramodulation,[status(thm)],[f13,f15]) ).
fof(f49,plain,
! [X0,X1] : join(X0,meet(X1,X0)) = X0,
inference(paramodulation,[status(thm)],[f15,f14]) ).
fof(f53,plain,
! [X0,X1] : X0 = join(meet(X0,X1),X0),
inference(paramodulation,[status(thm)],[f14,f16]) ).
fof(f60,plain,
! [X0,X1] : meet(X0,join(X1,X0)) = X0,
inference(paramodulation,[status(thm)],[f16,f13]) ).
fof(f81,plain,
! [X0] : meet(sF2_fnc,X0) = meet(a,meet(c,X0)),
inference(paramodulation,[status(thm)],[f21,f17]) ).
fof(f93,plain,
! [X0] : meet(meet(X0,a),sF6_fnc) = meet(X0,sF5_fnc),
inference(paramodulation,[status(thm)],[f25,f17]) ).
fof(f94,plain,
! [X0] : meet(meet(X0,a),c) = meet(X0,sF2_fnc),
inference(paramodulation,[status(thm)],[f21,f17]) ).
fof(f128,plain,
! [X0] : join(join(X0,a),b) = join(X0,sF8_fnc),
inference(paramodulation,[status(thm)],[f26,f18]) ).
fof(f143,plain,
sF7_fnc = meet(sF8_fnc,c),
inference(paramodulation,[status(thm)],[f15,f27]) ).
fof(f146,plain,
! [X0] : meet(sF7_fnc,X0) = meet(c,meet(sF8_fnc,X0)),
inference(paramodulation,[status(thm)],[f27,f17]) ).
fof(f152,plain,
! [X0] : join(join(X0,sF5_fnc),sF7_fnc) = join(X0,sF4_fnc),
inference(paramodulation,[status(thm)],[f28,f18]) ).
fof(f153,plain,
! [X0] : join(sF4_fnc,X0) = join(sF5_fnc,join(sF7_fnc,X0)),
inference(paramodulation,[status(thm)],[f28,f18]) ).
fof(f164,plain,
sF5_fnc != sF3_fnc,
inference(backward_demodulation,[status(thm)],[f165,f30]) ).
fof(f165,plain,
sF0_fnc = sF5_fnc,
inference(forward_demodulation,[status(thm)],[f25,f31]) ).
fof(f168,plain,
! [X0] : join(join(X0,b),sF2_fnc) = join(X0,sF6_fnc),
inference(paramodulation,[status(thm)],[f32,f18]) ).
fof(f189,plain,
a = meet(sF8_fnc,a),
inference(paramodulation,[status(thm)],[f26,f40]) ).
fof(f192,plain,
! [X0,X1] : X0 = meet(join(X1,X0),X0),
inference(paramodulation,[status(thm)],[f16,f40]) ).
fof(f210,plain,
! [X0] : join(meet(a,sF6_fnc),meet(a,X0)) = meet(a,join(sF5_fnc,meet(join(a,sF6_fnc),X0))),
inference(paramodulation,[status(thm)],[f25,f19]) ).
fof(f244,plain,
! [X0] : join(sF5_fnc,meet(a,X0)) = meet(a,join(sF5_fnc,meet(join(a,sF6_fnc),X0))),
inference(forward_demodulation,[status(thm)],[f25,f210]) ).
fof(f258,plain,
! [X0,X1] : join(meet(X0,X1),X1) = X1,
inference(paramodulation,[status(thm)],[f16,f49]) ).
fof(f262,plain,
join(sF8_fnc,sF7_fnc) = sF8_fnc,
inference(paramodulation,[status(thm)],[f27,f49]) ).
fof(f299,plain,
a = join(sF5_fnc,a),
inference(paramodulation,[status(thm)],[f25,f53]) ).
fof(f319,plain,
meet(sF2_fnc,sF6_fnc) = sF2_fnc,
inference(paramodulation,[status(thm)],[f32,f60]) ).
fof(f320,plain,
meet(sF7_fnc,sF4_fnc) = sF7_fnc,
inference(paramodulation,[status(thm)],[f28,f60]) ).
fof(f322,plain,
meet(sF2_fnc,a) = sF2_fnc,
inference(paramodulation,[status(thm)],[f35,f60]) ).
fof(f371,plain,
sF8_fnc = join(sF7_fnc,sF8_fnc),
inference(paramodulation,[status(thm)],[f143,f53]) ).
fof(f1500,plain,
sF7_fnc = meet(sF8_fnc,sF7_fnc),
inference(paramodulation,[status(thm)],[f262,f192]) ).
fof(f1994,plain,
meet(sF2_fnc,sF6_fnc) = meet(sF2_fnc,sF5_fnc),
inference(paramodulation,[status(thm)],[f322,f93]) ).
fof(f2014,plain,
sF2_fnc = meet(sF2_fnc,sF5_fnc),
inference(forward_demodulation,[status(thm)],[f319,f1994]) ).
fof(f2235,plain,
meet(a,c) = meet(sF8_fnc,sF2_fnc),
inference(paramodulation,[status(thm)],[f189,f94]) ).
fof(f2280,plain,
sF2_fnc = meet(sF8_fnc,sF2_fnc),
inference(forward_demodulation,[status(thm)],[f21,f2235]) ).
fof(f4589,plain,
join(a,b) = join(sF5_fnc,sF8_fnc),
inference(paramodulation,[status(thm)],[f299,f128]) ).
fof(f4611,plain,
sF8_fnc = join(sF5_fnc,sF8_fnc),
inference(forward_demodulation,[status(thm)],[f26,f4589]) ).
fof(f6133,plain,
join(sF2_fnc,sF5_fnc) = sF5_fnc,
inference(paramodulation,[status(thm)],[f2014,f258]) ).
fof(f6141,plain,
join(sF5_fnc,sF2_fnc) = sF5_fnc,
inference(paramodulation,[status(thm)],[f2014,f49]) ).
fof(f6414,plain,
join(sF8_fnc,sF2_fnc) = sF8_fnc,
inference(paramodulation,[status(thm)],[f2280,f14]) ).
fof(f7883,plain,
join(sF4_fnc,sF8_fnc) = join(sF5_fnc,sF8_fnc),
inference(paramodulation,[status(thm)],[f371,f153]) ).
fof(f7933,plain,
join(sF4_fnc,sF8_fnc) = sF8_fnc,
inference(forward_demodulation,[status(thm)],[f4611,f7883]) ).
fof(f8526,plain,
join(sF5_fnc,sF7_fnc) = join(sF2_fnc,sF4_fnc),
inference(paramodulation,[status(thm)],[f6133,f152]) ).
fof(f8553,plain,
sF4_fnc = join(sF2_fnc,sF4_fnc),
inference(forward_demodulation,[status(thm)],[f28,f8526]) ).
fof(f11040,plain,
sF4_fnc = meet(sF8_fnc,sF4_fnc),
inference(paramodulation,[status(thm)],[f7933,f40]) ).
fof(f11801,plain,
meet(sF2_fnc,sF4_fnc) = sF2_fnc,
inference(paramodulation,[status(thm)],[f8553,f13]) ).
fof(f11837,plain,
join(sF8_fnc,sF2_fnc) = join(a,sF6_fnc),
inference(paramodulation,[status(thm)],[f26,f168]) ).
fof(f11904,plain,
sF8_fnc = join(a,sF6_fnc),
inference(forward_demodulation,[status(thm)],[f6414,f11837]) ).
fof(f12135,plain,
meet(sF7_fnc,sF4_fnc) = meet(c,sF4_fnc),
inference(paramodulation,[status(thm)],[f11040,f146]) ).
fof(f12172,plain,
sF7_fnc = meet(c,sF4_fnc),
inference(forward_demodulation,[status(thm)],[f320,f12135]) ).
fof(f14389,plain,
meet(sF2_fnc,sF4_fnc) = meet(a,sF7_fnc),
inference(paramodulation,[status(thm)],[f12172,f81]) ).
fof(f14432,plain,
sF2_fnc = meet(a,sF7_fnc),
inference(forward_demodulation,[status(thm)],[f11801,f14389]) ).
fof(f16787,plain,
! [X0] : join(sF5_fnc,meet(a,X0)) = meet(a,join(sF5_fnc,meet(sF8_fnc,X0))),
inference(forward_demodulation,[status(thm)],[f11904,f244]) ).
fof(f16794,plain,
join(sF5_fnc,meet(a,sF7_fnc)) = meet(a,join(sF5_fnc,sF7_fnc)),
inference(paramodulation,[status(thm)],[f1500,f16787]) ).
fof(f16871,plain,
join(sF5_fnc,sF2_fnc) = meet(a,join(sF5_fnc,sF7_fnc)),
inference(forward_demodulation,[status(thm)],[f14432,f16794]) ).
fof(f16872,plain,
sF5_fnc = meet(a,join(sF5_fnc,sF7_fnc)),
inference(forward_demodulation,[status(thm)],[f6141,f16871]) ).
fof(f16873,plain,
sF5_fnc = meet(a,sF4_fnc),
inference(forward_demodulation,[status(thm)],[f28,f16872]) ).
fof(f16874,plain,
sF5_fnc = sF3_fnc,
inference(forward_demodulation,[status(thm)],[f29,f16873]) ).
fof(f16875,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f16874,f164]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT171-1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n004.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sun Sep 20 23:17:34 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 8.66/1.60 % Refutation found
% 8.66/1.60 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 8.66/1.60 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 11.43/2.82 % Elapsed time: 2.245762 seconds
% 11.43/2.82 % CPU time: 8.166510 seconds
% 11.43/2.82 % Total memory used: 75.219 MB
% 11.43/2.82 % Net memory used: 73.402 MB
%------------------------------------------------------------------------------