%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : LAT146-1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n026.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 01:02:16 PM UTC 2026
% Result : Unsatisfiable 109.16s 24.32s
% Output : CNFRefutation 7.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 19
% Syntax : Number of formulae : 92 ( 92 unt; 10 def)
% Number of atoms : 92 ( 91 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 : 16 ( 16 usr; 14 con; 0-2 aty)
% Number of variables : 82 ( 82 !; 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] : meet(X,join(Y,meet(Z,U))) = meet(X,join(Y,meet(Z,join(Y,meet(U,join(Y,Z)))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,negated_conjecture,
meet(a,join(b,meet(a,meet(c,d)))) != meet(a,join(b,meet(c,meet(d,join(a,meet(b,d)))))),
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] : meet(X0,join(X1,meet(X2,X3))) = meet(X0,join(X1,meet(X2,join(X1,meet(X3,join(X1,X2)))))),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f20,plain,
meet(a,join(b,meet(a,meet(c,d)))) != meet(a,join(b,meet(c,meet(d,join(a,meet(b,d)))))),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f21,definition,
sF3_fnc = meet(c,d),
introduced(definition,[new_symbols(definition,[sF3_fnc])],[function_definition]) ).
fof(f22,definition,
sF2_fnc = meet(a,sF3_fnc),
introduced(definition,[new_symbols(definition,[sF2_fnc])],[function_definition]) ).
fof(f23,definition,
sF1_fnc = join(b,sF2_fnc),
introduced(definition,[new_symbols(definition,[sF1_fnc])],[function_definition]) ).
fof(f24,definition,
sF0_fnc = meet(a,sF1_fnc),
introduced(definition,[new_symbols(definition,[sF0_fnc])],[function_definition]) ).
fof(f25,definition,
sF9_fnc = meet(b,d),
introduced(definition,[new_symbols(definition,[sF9_fnc])],[function_definition]) ).
fof(f26,definition,
sF8_fnc = join(a,sF9_fnc),
introduced(definition,[new_symbols(definition,[sF8_fnc])],[function_definition]) ).
fof(f27,definition,
sF7_fnc = meet(d,sF8_fnc),
introduced(definition,[new_symbols(definition,[sF7_fnc])],[function_definition]) ).
fof(f28,definition,
sF6_fnc = meet(c,sF7_fnc),
introduced(definition,[new_symbols(definition,[sF6_fnc])],[function_definition]) ).
fof(f29,definition,
sF5_fnc = join(b,sF6_fnc),
introduced(definition,[new_symbols(definition,[sF5_fnc])],[function_definition]) ).
fof(f30,definition,
sF4_fnc = meet(a,sF5_fnc),
introduced(definition,[new_symbols(definition,[sF4_fnc])],[function_definition]) ).
fof(f31,plain,
sF0_fnc != sF4_fnc,
inference(definition_folding,[],[f20,f30,f29,f28,f27,f26,f25,f24,f23,f22,f21]) ).
fof(f34,plain,
join(b,sF9_fnc) = b,
inference(paramodulation,[status(thm)],[f25,f14]) ).
fof(f45,plain,
! [X0,X1] : join(X0,meet(X1,X0)) = X0,
inference(paramodulation,[status(thm)],[f15,f14]) ).
fof(f51,plain,
! [X0,X1] : meet(X0,join(X1,X0)) = X0,
inference(paramodulation,[status(thm)],[f16,f13]) ).
fof(f53,plain,
meet(a,sF8_fnc) = a,
inference(paramodulation,[status(thm)],[f26,f13]) ).
fof(f54,plain,
join(d,sF7_fnc) = d,
inference(paramodulation,[status(thm)],[f27,f14]) ).
fof(f57,plain,
! [X0,X1,X2] : meet(X0,X1) = meet(X0,meet(X1,join(meet(X0,X1),X2))),
inference(paramodulation,[status(thm)],[f13,f17]) ).
fof(f58,plain,
! [X0,X1,X2] : meet(X0,meet(X1,X2)) = meet(X1,meet(X2,X0)),
inference(paramodulation,[status(thm)],[f15,f17]) ).
fof(f66,plain,
! [X0] : meet(sF6_fnc,X0) = meet(c,meet(sF7_fnc,X0)),
inference(paramodulation,[status(thm)],[f28,f17]) ).
fof(f67,plain,
! [X0] : meet(sF3_fnc,X0) = meet(c,meet(d,X0)),
inference(paramodulation,[status(thm)],[f21,f17]) ).
fof(f84,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(X1,join(X0,X1))),
inference(paramodulation,[status(thm)],[f12,f18]) ).
fof(f86,plain,
! [X0] : join(sF8_fnc,X0) = join(a,join(sF9_fnc,X0)),
inference(paramodulation,[status(thm)],[f26,f18]) ).
fof(f88,plain,
! [X0] : join(sF1_fnc,X0) = join(b,join(sF2_fnc,X0)),
inference(paramodulation,[status(thm)],[f23,f18]) ).
fof(f102,plain,
! [X0] : meet(sF4_fnc,X0) = meet(a,meet(sF5_fnc,X0)),
inference(paramodulation,[status(thm)],[f30,f17]) ).
fof(f106,plain,
! [X0] : join(b,X0) = join(b,join(sF9_fnc,X0)),
inference(paramodulation,[status(thm)],[f34,f18]) ).
fof(f117,plain,
join(sF8_fnc,sF7_fnc) = sF8_fnc,
inference(paramodulation,[status(thm)],[f27,f45]) ).
fof(f124,plain,
join(d,sF3_fnc) = d,
inference(paramodulation,[status(thm)],[f21,f45]) ).
fof(f137,plain,
! [X0,X1,X2] : meet(X0,join(X1,join(X2,X0))) = X0,
inference(paramodulation,[status(thm)],[f18,f51]) ).
fof(f157,plain,
join(sF8_fnc,a) = sF8_fnc,
inference(paramodulation,[status(thm)],[f53,f45]) ).
fof(f158,plain,
! [X0] : meet(a,X0) = meet(a,meet(sF8_fnc,X0)),
inference(paramodulation,[status(thm)],[f53,f17]) ).
fof(f160,plain,
meet(sF7_fnc,d) = sF7_fnc,
inference(paramodulation,[status(thm)],[f54,f51]) ).
fof(f173,plain,
! [X0,X1,X2] : meet(meet(X0,join(X1,meet(X2,join(X1,X0)))),join(X1,meet(X0,X2))) = meet(X0,join(X1,meet(X2,join(X1,X0)))),
inference(paramodulation,[status(thm)],[f51,f19]) ).
fof(f218,plain,
! [X0,X1,X2] : meet(X0,meet(join(X1,meet(X2,join(X1,X0))),join(X1,meet(X0,X2)))) = meet(X0,join(X1,meet(X2,join(X1,X0)))),
inference(forward_demodulation,[status(thm)],[f17,f173]) ).
fof(f321,plain,
! [X0,X1,X2] : meet(X0,X1) = meet(X1,meet(join(meet(X0,X1),X2),X0)),
inference(paramodulation,[status(thm)],[f57,f58]) ).
fof(f354,plain,
! [X0] : meet(sF8_fnc,meet(X0,d)) = meet(X0,sF7_fnc),
inference(paramodulation,[status(thm)],[f27,f58]) ).
fof(f368,plain,
! [X0,X1,X2] : meet(join(X0,X1),meet(X2,X1)) = meet(X2,X1),
inference(paramodulation,[status(thm)],[f51,f58]) ).
fof(f416,plain,
meet(sF7_fnc,sF8_fnc) = sF7_fnc,
inference(paramodulation,[status(thm)],[f117,f51]) ).
fof(f518,plain,
meet(sF3_fnc,d) = sF3_fnc,
inference(paramodulation,[status(thm)],[f124,f51]) ).
fof(f717,plain,
meet(d,sF7_fnc) = sF7_fnc,
inference(paramodulation,[status(thm)],[f15,f160]) ).
fof(f973,plain,
meet(sF6_fnc,sF8_fnc) = meet(c,sF7_fnc),
inference(paramodulation,[status(thm)],[f416,f66]) ).
fof(f1001,plain,
meet(sF6_fnc,sF8_fnc) = sF6_fnc,
inference(forward_demodulation,[status(thm)],[f28,f973]) ).
fof(f1727,plain,
meet(sF3_fnc,sF7_fnc) = meet(c,sF7_fnc),
inference(paramodulation,[status(thm)],[f717,f67]) ).
fof(f1739,plain,
meet(sF3_fnc,sF7_fnc) = sF6_fnc,
inference(forward_demodulation,[status(thm)],[f28,f1727]) ).
fof(f2423,plain,
join(sF8_fnc,sF6_fnc) = sF8_fnc,
inference(paramodulation,[status(thm)],[f1001,f45]) ).
fof(f2472,plain,
join(sF9_fnc,a) = join(sF9_fnc,join(sF8_fnc,a)),
inference(paramodulation,[status(thm)],[f86,f84]) ).
fof(f2543,plain,
join(sF9_fnc,a) = join(sF9_fnc,sF8_fnc),
inference(forward_demodulation,[status(thm)],[f157,f2472]) ).
fof(f4060,plain,
! [X0] : meet(sF6_fnc,join(X0,sF8_fnc)) = sF6_fnc,
inference(paramodulation,[status(thm)],[f2423,f137]) ).
fof(f35415,plain,
meet(sF8_fnc,sF3_fnc) = meet(sF3_fnc,sF7_fnc),
inference(paramodulation,[status(thm)],[f518,f354]) ).
fof(f35483,plain,
meet(sF8_fnc,sF3_fnc) = sF6_fnc,
inference(forward_demodulation,[status(thm)],[f1739,f35415]) ).
fof(f35676,plain,
meet(a,sF3_fnc) = meet(a,sF6_fnc),
inference(paramodulation,[status(thm)],[f35483,f158]) ).
fof(f35716,plain,
sF2_fnc = meet(a,sF6_fnc),
inference(forward_demodulation,[status(thm)],[f22,f35676]) ).
fof(f35895,plain,
join(sF6_fnc,sF2_fnc) = sF6_fnc,
inference(paramodulation,[status(thm)],[f35716,f45]) ).
fof(f37202,plain,
join(sF2_fnc,sF6_fnc) = sF6_fnc,
inference(paramodulation,[status(thm)],[f16,f35895]) ).
fof(f37457,plain,
join(sF1_fnc,sF6_fnc) = join(b,sF6_fnc),
inference(paramodulation,[status(thm)],[f37202,f88]) ).
fof(f37484,plain,
join(sF1_fnc,sF6_fnc) = sF5_fnc,
inference(forward_demodulation,[status(thm)],[f29,f37457]) ).
fof(f46054,plain,
! [X0,X1,X2] : meet(X0,join(X1,X0)) = meet(join(meet(X0,join(X1,X0)),X2),X0),
inference(paramodulation,[status(thm)],[f321,f368]) ).
fof(f46555,plain,
! [X0,X1,X2] : X0 = meet(join(meet(X0,join(X1,X0)),X2),X0),
inference(forward_demodulation,[status(thm)],[f51,f46054]) ).
fof(f46556,plain,
! [X0,X1] : X0 = meet(join(X0,X1),X0),
inference(forward_demodulation,[status(thm)],[f51,f46555]) ).
fof(f47839,plain,
sF1_fnc = meet(sF5_fnc,sF1_fnc),
inference(paramodulation,[status(thm)],[f37484,f46556]) ).
fof(f48807,plain,
meet(sF4_fnc,sF1_fnc) = meet(a,sF1_fnc),
inference(paramodulation,[status(thm)],[f47839,f102]) ).
fof(f48855,plain,
meet(sF4_fnc,sF1_fnc) = sF0_fnc,
inference(forward_demodulation,[status(thm)],[f24,f48807]) ).
fof(f105564,plain,
join(b,sF8_fnc) = join(b,join(sF9_fnc,a)),
inference(paramodulation,[status(thm)],[f2543,f106]) ).
fof(f105622,plain,
join(b,sF8_fnc) = join(b,a),
inference(forward_demodulation,[status(thm)],[f106,f105564]) ).
fof(f117575,plain,
meet(sF6_fnc,join(b,a)) = sF6_fnc,
inference(paramodulation,[status(thm)],[f105622,f4060]) ).
fof(f129910,plain,
meet(a,meet(join(b,sF6_fnc),join(b,meet(a,sF6_fnc)))) = meet(a,join(b,meet(sF6_fnc,join(b,a)))),
inference(paramodulation,[status(thm)],[f117575,f218]) ).
fof(f129982,plain,
meet(a,meet(sF5_fnc,join(b,meet(a,sF6_fnc)))) = meet(a,join(b,meet(sF6_fnc,join(b,a)))),
inference(forward_demodulation,[status(thm)],[f29,f129910]) ).
fof(f129983,plain,
meet(sF4_fnc,join(b,meet(a,sF6_fnc))) = meet(a,join(b,meet(sF6_fnc,join(b,a)))),
inference(forward_demodulation,[status(thm)],[f102,f129982]) ).
fof(f129984,plain,
meet(sF4_fnc,join(b,sF2_fnc)) = meet(a,join(b,meet(sF6_fnc,join(b,a)))),
inference(forward_demodulation,[status(thm)],[f35716,f129983]) ).
fof(f129985,plain,
meet(sF4_fnc,sF1_fnc) = meet(a,join(b,meet(sF6_fnc,join(b,a)))),
inference(forward_demodulation,[status(thm)],[f23,f129984]) ).
fof(f129986,plain,
sF0_fnc = meet(a,join(b,meet(sF6_fnc,join(b,a)))),
inference(forward_demodulation,[status(thm)],[f48855,f129985]) ).
fof(f129987,plain,
sF0_fnc = meet(a,join(b,sF6_fnc)),
inference(forward_demodulation,[status(thm)],[f117575,f129986]) ).
fof(f129988,plain,
sF0_fnc = meet(a,sF5_fnc),
inference(forward_demodulation,[status(thm)],[f29,f129987]) ).
fof(f129989,plain,
sF0_fnc = sF4_fnc,
inference(forward_demodulation,[status(thm)],[f30,f129988]) ).
fof(f129990,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f129989,f31]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT146-1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/10.41 % Computer : n026.cluster.edu
% 0.12/10.41 % Model : x86_64 x86_64
% 0.12/10.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/10.41 % Memory : 8046.5625MB
% 0.12/10.41 % OS : Linux 6.8.0-71-generic
% 0.12/10.41 % CPULimit : 300
% 0.12/10.41 % WCLimit : 300
% 0.12/10.41 % DateTime : Sun Sep 20 23:18:33 UTC 2026
% 0.12/10.41 % CPUTime :
% 0.12/10.42 % Drodi V4.1.1
% 109.16/24.32 % Refutation found
% 109.16/24.32 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 109.16/24.32 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 7.05/24.45 % Elapsed time: 14.006670 seconds
% 7.05/24.45 % CPU time: 110.519632 seconds
% 7.05/24.45 % Total memory used: 344.276 MB
% 7.05/24.45 % Net memory used: 331.377 MB
%------------------------------------------------------------------------------