%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : LCL141-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n013.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 01:06:55 PM UTC 2026
% Result : Unsatisfiable 0.29s 0.89s
% Output : CNFRefutation 0.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 9
% Syntax : Number of formulae : 61 ( 61 unt; 4 def)
% Number of atoms : 61 ( 60 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 48 ( 48 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X] : implies(truth,X) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X,Y,Z] : implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z))) = truth,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X,Y] : implies(implies(X,Y),Y) = implies(implies(Y,X),X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X,Y] : implies(implies(not(X),not(Y)),implies(Y,X)) = truth,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
implies(not(x),not(y)) != implies(y,x),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,plain,
! [X0] : implies(truth,X0) = X0,
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f7,plain,
! [X0,X1,X2] : implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))) = truth,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f8,plain,
! [X0,X1] : implies(implies(X0,X1),X1) = implies(implies(X1,X0),X0),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f9,plain,
! [X0,X1] : implies(implies(not(X0),not(X1)),implies(X1,X0)) = truth,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f10,plain,
implies(not(x),not(y)) != implies(y,x),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f11,definition,
sF1_fnc = not(x),
introduced(definition,[new_symbols(definition,[sF1_fnc])],[function_definition]) ).
fof(f12,definition,
sF2_fnc = not(y),
introduced(definition,[new_symbols(definition,[sF2_fnc])],[function_definition]) ).
fof(f13,definition,
sF0_fnc = implies(sF1_fnc,sF2_fnc),
introduced(definition,[new_symbols(definition,[sF0_fnc])],[function_definition]) ).
fof(f14,definition,
sF3_fnc = implies(y,x),
introduced(definition,[new_symbols(definition,[sF3_fnc])],[function_definition]) ).
fof(f15,plain,
sF0_fnc != sF3_fnc,
inference(definition_folding,[],[f10,f14,f13,f12,f11]) ).
fof(f22,plain,
! [X0] : implies(implies(X0,truth),truth) = implies(X0,X0),
inference(paramodulation,[status(thm)],[f6,f8]) ).
fof(f88,plain,
! [X0] : implies(implies(not(X0),sF2_fnc),implies(y,X0)) = truth,
inference(paramodulation,[status(thm)],[f12,f9]) ).
fof(f89,plain,
! [X0] : implies(implies(not(X0),sF1_fnc),implies(x,X0)) = truth,
inference(paramodulation,[status(thm)],[f11,f9]) ).
fof(f99,plain,
implies(implies(not(x),not(y)),sF3_fnc) = truth,
inference(paramodulation,[status(thm)],[f14,f9]) ).
fof(f100,plain,
implies(implies(not(sF2_fnc),not(sF1_fnc)),sF0_fnc) = truth,
inference(paramodulation,[status(thm)],[f13,f9]) ).
fof(f102,plain,
implies(implies(sF1_fnc,not(y)),sF3_fnc) = truth,
inference(forward_demodulation,[status(thm)],[f11,f99]) ).
fof(f103,plain,
implies(implies(sF1_fnc,sF2_fnc),sF3_fnc) = truth,
inference(forward_demodulation,[status(thm)],[f12,f102]) ).
fof(f104,plain,
implies(sF0_fnc,sF3_fnc) = truth,
inference(forward_demodulation,[status(thm)],[f13,f103]) ).
fof(f106,plain,
implies(implies(sF3_fnc,sF0_fnc),sF0_fnc) = implies(truth,sF3_fnc),
inference(paramodulation,[status(thm)],[f104,f8]) ).
fof(f108,plain,
implies(implies(sF3_fnc,sF0_fnc),sF0_fnc) = sF3_fnc,
inference(forward_demodulation,[status(thm)],[f6,f106]) ).
fof(f160,plain,
! [X0,X1] : implies(X0,implies(implies(X0,X1),implies(truth,X1))) = truth,
inference(paramodulation,[status(thm)],[f6,f7]) ).
fof(f198,plain,
! [X0,X1,X2] : implies(implies(X0,implies(not(X1),not(X2))),implies(truth,implies(X0,implies(X2,X1)))) = truth,
inference(paramodulation,[status(thm)],[f9,f7]) ).
fof(f239,plain,
! [X0,X1] : implies(X0,implies(implies(X0,X1),X1)) = truth,
inference(forward_demodulation,[status(thm)],[f6,f160]) ).
fof(f260,plain,
! [X0,X1,X2] : implies(implies(X0,implies(not(X1),not(X2))),implies(X0,implies(X2,X1))) = truth,
inference(forward_demodulation,[status(thm)],[f6,f198]) ).
fof(f997,plain,
! [X0] : implies(implies(truth,X0),X0) = truth,
inference(paramodulation,[status(thm)],[f6,f239]) ).
fof(f1004,plain,
! [X0] : implies(X0,implies(X0,X0)) = truth,
inference(paramodulation,[status(thm)],[f22,f239]) ).
fof(f1073,plain,
! [X0] : implies(X0,X0) = truth,
inference(forward_demodulation,[status(thm)],[f6,f997]) ).
fof(f1185,plain,
! [X0] : implies(X0,truth) = truth,
inference(forward_demodulation,[status(thm)],[f1073,f1004]) ).
fof(f1214,plain,
! [X0,X1] : implies(truth,implies(implies(truth,X0),implies(X1,X0))) = truth,
inference(paramodulation,[status(thm)],[f1185,f7]) ).
fof(f1247,plain,
! [X0,X1] : implies(implies(truth,X0),implies(X1,X0)) = truth,
inference(forward_demodulation,[status(thm)],[f6,f1214]) ).
fof(f1248,plain,
! [X0,X1] : implies(X0,implies(X1,X0)) = truth,
inference(forward_demodulation,[status(thm)],[f6,f1247]) ).
fof(f2935,plain,
! [X0,X1] : implies(truth,implies(not(X0),implies(X0,X1))) = truth,
inference(paramodulation,[status(thm)],[f1248,f260]) ).
fof(f3047,plain,
! [X0,X1] : implies(not(X0),implies(X0,X1)) = truth,
inference(forward_demodulation,[status(thm)],[f6,f2935]) ).
fof(f3533,plain,
! [X0,X1] : implies(truth,implies(not(not(X0)),implies(X1,X0))) = truth,
inference(paramodulation,[status(thm)],[f3047,f260]) ).
fof(f3560,plain,
! [X0,X1] : implies(not(not(X0)),implies(X1,X0)) = truth,
inference(forward_demodulation,[status(thm)],[f6,f3533]) ).
fof(f3985,plain,
! [X0] : implies(not(not(X0)),X0) = truth,
inference(paramodulation,[status(thm)],[f6,f3560]) ).
fof(f4756,plain,
implies(not(sF2_fnc),y) = truth,
inference(paramodulation,[status(thm)],[f12,f3985]) ).
fof(f4757,plain,
implies(not(sF1_fnc),x) = truth,
inference(paramodulation,[status(thm)],[f11,f3985]) ).
fof(f4758,plain,
implies(truth,implies(x,not(sF1_fnc))) = truth,
inference(paramodulation,[status(thm)],[f3985,f89]) ).
fof(f4759,plain,
implies(truth,implies(y,not(sF2_fnc))) = truth,
inference(paramodulation,[status(thm)],[f3985,f88]) ).
fof(f4809,plain,
implies(x,not(sF1_fnc)) = truth,
inference(forward_demodulation,[status(thm)],[f6,f4758]) ).
fof(f4810,plain,
implies(y,not(sF2_fnc)) = truth,
inference(forward_demodulation,[status(thm)],[f6,f4759]) ).
fof(f5028,plain,
implies(implies(not(sF1_fnc),x),x) = implies(truth,not(sF1_fnc)),
inference(paramodulation,[status(thm)],[f4809,f8]) ).
fof(f5072,plain,
implies(truth,x) = implies(truth,not(sF1_fnc)),
inference(forward_demodulation,[status(thm)],[f4757,f5028]) ).
fof(f5073,plain,
x = implies(truth,not(sF1_fnc)),
inference(forward_demodulation,[status(thm)],[f6,f5072]) ).
fof(f5074,plain,
x = not(sF1_fnc),
inference(forward_demodulation,[status(thm)],[f6,f5073]) ).
fof(f5082,plain,
implies(implies(not(sF2_fnc),x),sF0_fnc) = truth,
inference(backward_demodulation,[status(thm)],[f5074,f100]) ).
fof(f5191,plain,
implies(implies(not(sF2_fnc),y),y) = implies(truth,not(sF2_fnc)),
inference(paramodulation,[status(thm)],[f4810,f8]) ).
fof(f5235,plain,
implies(truth,y) = implies(truth,not(sF2_fnc)),
inference(forward_demodulation,[status(thm)],[f4756,f5191]) ).
fof(f5236,plain,
y = implies(truth,not(sF2_fnc)),
inference(forward_demodulation,[status(thm)],[f6,f5235]) ).
fof(f5237,plain,
y = not(sF2_fnc),
inference(forward_demodulation,[status(thm)],[f6,f5236]) ).
fof(f8142,plain,
implies(implies(y,x),sF0_fnc) = truth,
inference(forward_demodulation,[status(thm)],[f5237,f5082]) ).
fof(f8143,plain,
implies(truth,sF0_fnc) = sF3_fnc,
inference(backward_demodulation,[status(thm)],[f8144,f108]) ).
fof(f8144,plain,
implies(sF3_fnc,sF0_fnc) = truth,
inference(forward_demodulation,[status(thm)],[f14,f8142]) ).
fof(f8182,plain,
sF0_fnc = sF3_fnc,
inference(forward_demodulation,[status(thm)],[f6,f8143]) ).
fof(f8183,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f8182,f15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LCL141-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.45 % Computer : n013.cluster.edu
% 0.19/0.45 % Model : x86_64 x86_64
% 0.19/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.45 % Memory : 8046.5625MB
% 0.19/0.45 % OS : Linux 6.8.0-71-generic
% 0.19/0.45 % CPULimit : 300
% 0.19/0.45 % WCLimit : 300
% 0.19/0.45 % DateTime : Mon Sep 21 00:06:22 UTC 2026
% 0.19/0.45 % CPUTime :
% 0.19/0.47 % Drodi V4.1.1
% 0.29/0.89 % Refutation found
% 0.29/0.89 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.29/0.89 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.29/0.94 % Elapsed time: 0.460509 seconds
% 0.29/0.94 % CPU time: 3.264384 seconds
% 0.29/0.94 % Total memory used: 53.694 MB
% 0.29/0.94 % Net memory used: 51.300 MB
%------------------------------------------------------------------------------