%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : LCL146-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n014.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 0.13s 0.44s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 7
% Syntax : Number of formulae : 55 ( 55 unt; 0 def)
% Number of atoms : 55 ( 54 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 82 ( 82 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X] : implies(truth,X) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X,Y,Z] : implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z))) = truth,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X,Y] : implies(implies(X,Y),Y) = implies(implies(Y,X),X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X,Y] : implies(implies(not(X),not(Y)),implies(Y,X)) = truth,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [X,Y] : big_V(X,Y) = implies(implies(X,Y),Y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [X,Y] : big_hat(X,Y) = not(big_V(not(X),not(Y))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,negated_conjecture,
not(big_hat(x,y)) != big_V(not(x),not(y)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,plain,
! [X0] : implies(truth,X0) = X0,
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f11,plain,
! [X0,X1,X2] : implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))) = truth,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f12,plain,
! [X0,X1] : implies(implies(X0,X1),X1) = implies(implies(X1,X0),X0),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f13,plain,
! [X0,X1] : implies(implies(not(X0),not(X1)),implies(X1,X0)) = truth,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f14,plain,
! [X0,X1] : big_V(X0,X1) = implies(implies(X0,X1),X1),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f15,plain,
! [X0,X1] : big_hat(X0,X1) = not(big_V(not(X0),not(X1))),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f18,plain,
not(big_hat(x,y)) != big_V(not(x),not(y)),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f19,plain,
! [X0,X1] : implies(implies(X0,X1),X1) = big_V(X1,X0),
inference(backward_demodulation,[status(thm)],[f14,f12]) ).
fof(f20,plain,
! [X0,X1] : big_V(X0,X1) = big_V(X1,X0),
inference(forward_demodulation,[status(thm)],[f14,f19]) ).
fof(f26,plain,
! [X0,X1] : implies(X0,implies(implies(X0,X1),implies(truth,X1))) = truth,
inference(paramodulation,[status(thm)],[f10,f11]) ).
fof(f29,plain,
! [X0,X1] : implies(implies(X0,truth),implies(X1,implies(X0,X1))) = truth,
inference(paramodulation,[status(thm)],[f10,f11]) ).
fof(f33,plain,
! [X0,X1] : implies(X0,implies(implies(X0,X1),X1)) = truth,
inference(forward_demodulation,[status(thm)],[f10,f26]) ).
fof(f34,plain,
! [X0,X1] : implies(X0,big_V(X0,X1)) = truth,
inference(forward_demodulation,[status(thm)],[f14,f33]) ).
fof(f39,plain,
! [X0] : big_V(truth,X0) = truth,
inference(paramodulation,[status(thm)],[f10,f34]) ).
fof(f48,plain,
! [X0] : big_V(X0,truth) = truth,
inference(paramodulation,[status(thm)],[f20,f39]) ).
fof(f55,plain,
! [X0] : implies(implies(not(X0),not(truth)),X0) = truth,
inference(paramodulation,[status(thm)],[f10,f13]) ).
fof(f59,plain,
! [X0,X1,X2] : implies(implies(X0,implies(not(X1),not(X2))),implies(truth,implies(X0,implies(X2,X1)))) = truth,
inference(paramodulation,[status(thm)],[f13,f11]) ).
fof(f60,plain,
! [X0,X1,X2] : implies(truth,implies(implies(implies(X0,X1),X2),implies(implies(not(X1),not(X0)),X2))) = truth,
inference(paramodulation,[status(thm)],[f13,f11]) ).
fof(f61,plain,
! [X0,X1,X2] : implies(implies(X0,implies(not(X1),not(X2))),implies(X0,implies(X2,X1))) = truth,
inference(forward_demodulation,[status(thm)],[f10,f59]) ).
fof(f62,plain,
! [X0,X1,X2] : implies(implies(implies(X0,X1),X2),implies(implies(not(X1),not(X0)),X2)) = truth,
inference(forward_demodulation,[status(thm)],[f10,f60]) ).
fof(f67,plain,
! [X0] : implies(X0,truth) = truth,
inference(paramodulation,[status(thm)],[f48,f34]) ).
fof(f78,plain,
! [X0,X1] : implies(truth,implies(X0,implies(X1,X0))) = truth,
inference(backward_demodulation,[status(thm)],[f67,f29]) ).
fof(f79,plain,
! [X0,X1] : implies(X0,implies(X1,X0)) = truth,
inference(forward_demodulation,[status(thm)],[f10,f78]) ).
fof(f92,plain,
! [X0,X1] : big_V(implies(not(X0),not(X1)),implies(X1,X0)) = implies(truth,implies(X1,X0)),
inference(paramodulation,[status(thm)],[f13,f14]) ).
fof(f103,plain,
! [X0,X1] : big_V(implies(not(X0),not(X1)),implies(X1,X0)) = implies(X1,X0),
inference(forward_demodulation,[status(thm)],[f10,f92]) ).
fof(f558,plain,
big_V(not(not(truth)),not(truth)) = truth,
inference(paramodulation,[status(thm)],[f14,f55]) ).
fof(f609,plain,
! [X0,X1] : implies(truth,implies(not(X0),implies(X0,X1))) = truth,
inference(paramodulation,[status(thm)],[f79,f61]) ).
fof(f659,plain,
! [X0,X1] : implies(not(X0),implies(X0,X1)) = truth,
inference(forward_demodulation,[status(thm)],[f10,f609]) ).
fof(f703,plain,
! [X0] : implies(not(truth),X0) = truth,
inference(paramodulation,[status(thm)],[f10,f659]) ).
fof(f781,plain,
! [X0] : big_V(not(truth),X0) = implies(truth,X0),
inference(paramodulation,[status(thm)],[f703,f14]) ).
fof(f801,plain,
! [X0] : big_V(not(truth),X0) = X0,
inference(forward_demodulation,[status(thm)],[f10,f781]) ).
fof(f809,plain,
! [X0] : implies(truth,implies(implies(not(not(truth)),not(not(X0))),X0)) = truth,
inference(paramodulation,[status(thm)],[f55,f62]) ).
fof(f876,plain,
! [X0] : implies(implies(not(not(truth)),not(not(X0))),X0) = truth,
inference(forward_demodulation,[status(thm)],[f10,f809]) ).
fof(f929,plain,
! [X0] : big_V(X0,not(truth)) = X0,
inference(paramodulation,[status(thm)],[f20,f801]) ).
fof(f945,plain,
not(not(truth)) = truth,
inference(backward_demodulation,[status(thm)],[f929,f558]) ).
fof(f948,plain,
! [X0] : implies(implies(truth,not(not(X0))),X0) = truth,
inference(backward_demodulation,[status(thm)],[f945,f876]) ).
fof(f949,plain,
! [X0] : implies(not(not(X0)),X0) = truth,
inference(forward_demodulation,[status(thm)],[f10,f948]) ).
fof(f1248,plain,
! [X0] : big_V(truth,implies(X0,not(not(X0)))) = implies(X0,not(not(X0))),
inference(paramodulation,[status(thm)],[f949,f103]) ).
fof(f1274,plain,
! [X0] : big_V(not(not(X0)),X0) = implies(truth,X0),
inference(paramodulation,[status(thm)],[f949,f14]) ).
fof(f1280,plain,
! [X0] : truth = implies(X0,not(not(X0))),
inference(forward_demodulation,[status(thm)],[f39,f1248]) ).
fof(f1309,plain,
! [X0] : big_V(not(not(X0)),X0) = X0,
inference(forward_demodulation,[status(thm)],[f10,f1274]) ).
fof(f1315,plain,
! [X0] : big_V(X0,not(not(X0))) = X0,
inference(paramodulation,[status(thm)],[f20,f1309]) ).
fof(f1592,plain,
! [X0] : big_V(X0,not(not(X0))) = implies(truth,not(not(X0))),
inference(paramodulation,[status(thm)],[f1280,f14]) ).
fof(f1627,plain,
! [X0] : X0 = implies(truth,not(not(X0))),
inference(forward_demodulation,[status(thm)],[f1315,f1592]) ).
fof(f1656,plain,
! [X0] : X0 = not(not(X0)),
inference(forward_demodulation,[status(thm)],[f10,f1627]) ).
fof(f1670,plain,
! [X0,X1] : big_V(not(X0),not(X1)) = not(big_hat(X0,X1)),
inference(paramodulation,[status(thm)],[f15,f1656]) ).
fof(f1684,plain,
not(big_hat(x,y)) != not(big_hat(x,y)),
inference(backward_demodulation,[status(thm)],[f1670,f18]) ).
fof(f1704,plain,
$false,
inference(trivial_equality_resolution,[status(thm)],[f1684]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL146-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.34 % Computer : n014.cluster.edu
% 0.07/0.34 % Model : x86_64 x86_64
% 0.07/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.34 % Memory : 8046.5625MB
% 0.07/0.34 % OS : Linux 6.8.0-71-generic
% 0.07/0.35 % CPULimit : 300
% 0.07/0.35 % WCLimit : 300
% 0.07/0.35 % DateTime : Mon Sep 21 00:07:19 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.07/0.36 % Drodi V4.1.1
% 0.13/0.44 % Refutation found
% 0.13/0.44 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.44 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.46 % Elapsed time: 0.107545 seconds
% 0.13/0.46 % CPU time: 0.620101 seconds
% 0.13/0.46 % Total memory used: 81.730 MB
% 0.13/0.46 % Net memory used: 81.423 MB
%------------------------------------------------------------------------------