%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL048-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n005.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 01:09:15 PM UTC 2026
% Result : Unsatisfiable 0.15s 0.71s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL048-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n005.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 00:01:20 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.38 % Drodi V4.1.1
% 0.15/0.71 % Refutation found
% 0.15/0.71 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.71 % SZS output start CNFRefutation for theBenchmark
% 0.15/0.71 fof(f1,axiom,(
% 0.15/0.71 (![X,Y]: (( ~ is_a_theorem(implies(X,Y))| ~ is_a_theorem(X)| is_a_theorem(Y) ) ))),
% 0.15/0.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.71 fof(f2,axiom,(
% 0.15/0.71 (![X,Y,Z]: (is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z)))) ))),
% 0.15/0.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.71 fof(f3,axiom,(
% 0.15/0.71 (![X]: (is_a_theorem(implies(implies(not(X),X),X)) ))),
% 0.15/0.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.71 fof(f4,axiom,(
% 0.15/0.71 (![X,Y]: (is_a_theorem(implies(X,implies(not(X),Y))) ))),
% 0.15/0.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.71 fof(f5,negated_conjecture,(
% 0.15/0.71 ~ is_a_theorem(implies(implies(implies(a,b),c),implies(b,c))) ),
% 0.15/0.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.71 fof(f6,plain,(
% 0.15/0.71 ![Y]: ((![X]: (~is_a_theorem(implies(X,Y))|~is_a_theorem(X)))|is_a_theorem(Y))),
% 0.15/0.71 inference(miniscoping,[status(thm)],[f1])).
% 0.15/0.71 fof(f7,plain,(
% 0.15/0.71 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(X0)|is_a_theorem(X1))),
% 0.15/0.71 inference(cnf_transformation,[status(thm)],[f6])).
% 0.15/0.71 fof(f8,plain,(
% 0.15/0.71 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))))),
% 0.15/0.71 inference(cnf_transformation,[status(thm)],[f2])).
% 0.15/0.71 fof(f9,plain,(
% 0.15/0.71 ![X0]: (is_a_theorem(implies(implies(not(X0),X0),X0)))),
% 0.15/0.71 inference(cnf_transformation,[status(thm)],[f3])).
% 0.15/0.71 fof(f10,plain,(
% 0.15/0.71 ![X0,X1]: (is_a_theorem(implies(X0,implies(not(X0),X1))))),
% 0.15/0.71 inference(cnf_transformation,[status(thm)],[f4])).
% 0.15/0.71 fof(f11,plain,(
% 0.15/0.71 ~is_a_theorem(implies(implies(implies(a,b),c),implies(b,c)))),
% 0.15/0.71 inference(cnf_transformation,[status(thm)],[f5])).
% 0.15/0.71 fof(f12,plain,(
% 0.15/0.71 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|is_a_theorem(implies(implies(X1,X2),implies(X0,X2))))),
% 0.15/0.71 inference(resolution,[status(thm)],[f8,f7])).
% 0.15/0.71 fof(f13,plain,(
% 0.15/0.71 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),X3),implies(implies(X2,X0),X3))))),
% 0.15/0.71 inference(resolution,[status(thm)],[f12,f8])).
% 0.15/0.71 fof(f15,plain,(
% 0.15/0.71 ![X0,X1,X2,X3]: (~is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X1)),X3))|is_a_theorem(implies(implies(X2,X0),X3)))),
% 0.15/0.71 inference(resolution,[status(thm)],[f13,f7])).
% 0.15/0.71 fof(f16,plain,(
% 0.15/0.71 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(implies(X3,X1),implies(X0,implies(X3,X2))))))),
% 0.15/0.71 inference(resolution,[status(thm)],[f15,f13])).
% 0.15/0.71 fof(f21,plain,(
% 0.15/0.71 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(X0,X1),implies(implies(X2,X0),implies(implies(X1,X3),implies(X2,X3))))))),
% 0.15/0.71 inference(resolution,[status(thm)],[f16,f15])).
% 0.15/0.71 fof(f29,plain,(
% 0.15/0.71 ![X0,X1,X2,X3]: (~is_a_theorem(implies(X0,X1))|is_a_theorem(implies(implies(X2,X0),implies(implies(X1,X3),implies(X2,X3)))))),
% 0.15/0.71 inference(resolution,[status(thm)],[f21,f7])).
% 0.15/0.71 fof(f38,plain,(
% 0.15/0.71 ![X0,X1,X2,X3]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(implies(X2,X0))|is_a_theorem(implies(implies(X1,X3),implies(X2,X3))))),
% 0.15/0.71 inference(resolution,[status(thm)],[f29,f7])).
% 0.15/0.71 fof(f47,plain,(
% 0.15/0.71 ![X0]: (~is_a_theorem(implies(X0,implies(a,b)))|~is_a_theorem(implies(b,X0)))),
% 0.15/0.71 inference(resolution,[status(thm)],[f38,f11])).
% 0.15/0.71 fof(f63,plain,(
% 0.15/0.71 ![X0,X1]: (is_a_theorem(implies(implies(X0,X1),implies(implies(not(X0),X0),X1))))),
% 0.15/0.71 inference(resolution,[status(thm)],[f9,f12])).
% 0.15/0.71 fof(f65,plain,(
% 0.15/0.71 ![X0]: (~is_a_theorem(implies(implies(not(b),X0),implies(a,b))))),
% 0.15/0.71 inference(resolution,[status(thm)],[f10,f47])).
% 0.15/0.71 fof(f67,plain,(
% 0.15/0.71 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(not(X0),X1),X2),implies(X0,X2))))),
% 0.15/0.71 inference(resolution,[status(thm)],[f10,f12])).
% 0.15/0.71 fof(f68,plain,(
% 0.15/0.71 ![X0,X1]: (~is_a_theorem(X0)|is_a_theorem(implies(not(X0),X1)))),
% 0.15/0.71 inference(resolution,[status(thm)],[f10,f7])).
% 0.15/0.71 fof(f72,plain,(
% 0.15/0.71 ![X0,X1,X2]: (~is_a_theorem(X0)|is_a_theorem(implies(implies(X1,X2),implies(not(X0),X2))))),
% 0.15/0.71 inference(resolution,[status(thm)],[f68,f12])).
% 0.15/0.71 fof(f83,plain,(
% 0.15/0.71 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|is_a_theorem(implies(implies(not(X0),X0),X1)))),
% 0.15/0.71 inference(resolution,[status(thm)],[f63,f7])).
% 0.15/0.74 fof(f95,plain,(
% 0.15/0.74 ![X0,X1,X2]: (~is_a_theorem(implies(implies(not(X0),X1),X2))|is_a_theorem(implies(X0,X2)))),
% 0.15/0.74 inference(resolution,[status(thm)],[f67,f7])).
% 0.15/0.74 fof(f100,plain,(
% 0.15/0.74 ~is_a_theorem(implies(b,implies(a,b)))),
% 0.15/0.74 inference(resolution,[status(thm)],[f83,f65])).
% 0.15/0.74 fof(f113,plain,(
% 0.15/0.74 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(not(X1),X2)))|~is_a_theorem(X1))),
% 0.15/0.74 inference(resolution,[status(thm)],[f95,f72])).
% 0.15/0.74 fof(f247,plain,(
% 0.15/0.74 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(implies(X1,X2))|is_a_theorem(implies(X0,X2)))),
% 0.15/0.74 inference(resolution,[status(thm)],[f12,f7])).
% 0.15/0.74 fof(f325,plain,(
% 0.15/0.74 ![X0,X1,X2,X3]: (~is_a_theorem(implies(X0,implies(implies(not(X1),X2),X3)))|is_a_theorem(implies(X0,implies(X1,X3))))),
% 0.15/0.74 inference(resolution,[status(thm)],[f247,f67])).
% 0.15/0.74 fof(f327,plain,(
% 0.15/0.74 ![X0,X1]: (~is_a_theorem(implies(X0,implies(not(X1),X1)))|is_a_theorem(implies(X0,X1)))),
% 0.15/0.74 inference(resolution,[status(thm)],[f247,f9])).
% 0.15/0.74 fof(f385,plain,(
% 0.15/0.74 ![X0,X1]: (is_a_theorem(implies(implies(X0,X1),X1))|~is_a_theorem(implies(not(X1),X0)))),
% 0.15/0.74 inference(resolution,[status(thm)],[f327,f12])).
% 0.15/0.74 fof(f389,plain,(
% 0.15/0.74 ![X0,X1]: (is_a_theorem(implies(X0,X1))|~is_a_theorem(X1))),
% 0.15/0.74 inference(resolution,[status(thm)],[f327,f113])).
% 0.15/0.74 fof(f393,plain,(
% 0.15/0.74 ![X0,X1]: (is_a_theorem(implies(X0,implies(implies(not(X1),X1),X1))))),
% 0.15/0.74 inference(resolution,[status(thm)],[f389,f9])).
% 0.15/0.74 fof(f784,plain,(
% 0.15/0.74 ![X0,X1]: (is_a_theorem(implies(implies(implies(implies(not(X0),X0),X0),X1),X1)))),
% 0.15/0.74 inference(resolution,[status(thm)],[f385,f393])).
% 0.15/0.74 fof(f1386,plain,(
% 0.15/0.74 ![X0,X1]: (is_a_theorem(implies(implies(X0,implies(not(X1),X1)),implies(X0,X1))))),
% 0.15/0.74 inference(resolution,[status(thm)],[f784,f15])).
% 0.15/0.74 fof(f1580,plain,(
% 0.15/0.74 ![X0,X1]: (is_a_theorem(implies(implies(not(X0),X1),implies(implies(X1,X0),X0))))),
% 0.15/0.74 inference(resolution,[status(thm)],[f1386,f15])).
% 0.15/0.74 fof(f1878,plain,(
% 0.15/0.74 ![X0,X1]: (is_a_theorem(implies(X0,implies(implies(X1,X0),X0))))),
% 0.15/0.74 inference(resolution,[status(thm)],[f1580,f95])).
% 0.15/0.74 fof(f1904,plain,(
% 0.15/0.74 ![X0,X1]: (is_a_theorem(implies(X0,implies(X1,X0))))),
% 0.15/0.74 inference(resolution,[status(thm)],[f1878,f325])).
% 0.15/0.74 fof(f1910,plain,(
% 0.15/0.74 $false),
% 0.15/0.74 inference(backward_subsumption_resolution,[status(thm)],[f100,f1904])).
% 0.15/0.74 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.75 % Elapsed time: 0.379863 seconds
% 0.15/0.75 % CPU time: 2.629063 seconds
% 0.15/0.75 % Total memory used: 88.530 MB
% 0.15/0.75 % Net memory used: 84.160 MB
%------------------------------------------------------------------------------