%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL070-1 : 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 : n018.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 01:09:18 PM UTC 2026
% Result : Unsatisfiable 63.44s 8.51s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : LCL070-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.38 % Computer : n018.cluster.edu
% 0.13/0.38 % Model : x86_64 x86_64
% 0.13/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38 % Memory : 8046.5625MB
% 0.13/0.38 % OS : Linux 6.8.0-71-generic
% 0.13/0.38 % CPULimit : 300
% 0.13/0.38 % WCLimit : 300
% 0.13/0.38 % DateTime : Mon Sep 21 00:05:28 UTC 2026
% 0.13/0.38 % CPUTime :
% 0.13/0.39 % Drodi V4.1.1
% 63.44/8.51 % Refutation found
% 63.44/8.51 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 63.44/8.51 % SZS output start CNFRefutation for theBenchmark
% 63.44/8.51 fof(f1,axiom,(
% 63.44/8.51 (![X,Y]: (( ~ is_a_theorem(implies(X,Y))| ~ is_a_theorem(X)| is_a_theorem(Y) ) ))),
% 63.44/8.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 63.44/8.51 fof(f2,axiom,(
% 63.44/8.51 (![X,Y,Z]: (is_a_theorem(implies(implies(implies(X,Y),Z),implies(Y,Z))) ))),
% 63.44/8.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 63.44/8.51 fof(f3,axiom,(
% 63.44/8.51 (![X,Y,Z]: (is_a_theorem(implies(implies(implies(X,Y),Z),implies(not(X),Z))) ))),
% 63.44/8.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 63.44/8.51 fof(f4,axiom,(
% 63.44/8.51 (![X,Y,Z,U]: (is_a_theorem(implies(implies(X,implies(not(Y),Z)),implies(X,implies(implies(U,Z),implies(implies(Y,U),Z))))) ))),
% 63.44/8.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 63.44/8.51 fof(f5,negated_conjecture,(
% 63.44/8.51 ~ is_a_theorem(implies(implies(a,b),implies(implies(b,c),implies(a,c)))) ),
% 63.44/8.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 63.44/8.51 fof(f6,plain,(
% 63.44/8.51 ![Y]: ((![X]: (~is_a_theorem(implies(X,Y))|~is_a_theorem(X)))|is_a_theorem(Y))),
% 63.44/8.51 inference(miniscoping,[status(thm)],[f1])).
% 63.44/8.51 fof(f7,plain,(
% 63.44/8.51 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(X0)|is_a_theorem(X1))),
% 63.44/8.51 inference(cnf_transformation,[status(thm)],[f6])).
% 63.44/8.51 fof(f8,plain,(
% 63.44/8.51 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2))))),
% 63.44/8.51 inference(cnf_transformation,[status(thm)],[f2])).
% 63.44/8.51 fof(f9,plain,(
% 63.44/8.51 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(X0,X1),X2),implies(not(X0),X2))))),
% 63.44/8.51 inference(cnf_transformation,[status(thm)],[f3])).
% 63.44/8.51 fof(f10,plain,(
% 63.44/8.51 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(X0,implies(not(X1),X2)),implies(X0,implies(implies(X3,X2),implies(implies(X1,X3),X2))))))),
% 63.44/8.51 inference(cnf_transformation,[status(thm)],[f4])).
% 63.44/8.51 fof(f11,plain,(
% 63.44/8.51 ~is_a_theorem(implies(implies(a,b),implies(implies(b,c),implies(a,c))))),
% 63.44/8.51 inference(cnf_transformation,[status(thm)],[f5])).
% 63.44/8.51 fof(f12,plain,(
% 63.44/8.51 ![X0,X1,X2]: (~is_a_theorem(implies(implies(X0,X1),X2))|is_a_theorem(implies(X1,X2)))),
% 63.44/8.51 inference(resolution,[status(thm)],[f8,f7])).
% 63.44/8.51 fof(f13,plain,(
% 63.44/8.51 ![X0,X1]: (is_a_theorem(implies(X0,implies(X1,X0))))),
% 63.44/8.51 inference(resolution,[status(thm)],[f12,f8])).
% 63.44/8.51 fof(f14,plain,(
% 63.44/8.51 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(X1,implies(X2,X0)))))),
% 63.44/8.51 inference(resolution,[status(thm)],[f13,f12])).
% 63.44/8.51 fof(f48,plain,(
% 63.44/8.51 ![X0,X1,X2,X3]: (~is_a_theorem(implies(X0,implies(not(X1),X2)))|is_a_theorem(implies(X0,implies(implies(X3,X2),implies(implies(X1,X3),X2)))))),
% 63.44/8.51 inference(resolution,[status(thm)],[f10,f7])).
% 63.44/8.51 fof(f60,plain,(
% 63.44/8.51 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(implies(X0,X1),X2),implies(implies(X3,X2),implies(implies(X0,X3),X2)))))),
% 63.44/8.51 inference(resolution,[status(thm)],[f48,f9])).
% 63.44/8.51 fof(f92,plain,(
% 63.44/8.51 ![X0,X1,X2,X3]: (~is_a_theorem(implies(implies(X0,X1),X2))|is_a_theorem(implies(implies(X3,X2),implies(implies(X0,X3),X2))))),
% 63.44/8.51 inference(resolution,[status(thm)],[f60,f7])).
% 63.44/8.51 fof(f169,plain,(
% 63.44/8.51 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(implies(implies(X3,X1),X0),implies(X1,X2)))))),
% 63.44/8.51 inference(resolution,[status(thm)],[f92,f8])).
% 63.44/8.51 fof(f176,plain,(
% 63.44/8.51 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(X0,implies(X1,implies(X2,X3))),implies(implies(X2,X0),implies(X1,implies(X2,X3))))))),
% 63.44/8.51 inference(resolution,[status(thm)],[f92,f13])).
% 63.44/8.51 fof(f751,plain,(
% 63.44/8.51 ![X0,X1,X2,X3]: (~is_a_theorem(implies(X0,implies(X1,X2)))|is_a_theorem(implies(implies(implies(X3,X1),X0),implies(X1,X2))))),
% 63.44/8.51 inference(resolution,[status(thm)],[f169,f7])).
% 63.44/8.51 fof(f782,plain,(
% 63.44/8.51 ![X0,X1,X2,X3]: (~is_a_theorem(implies(X0,implies(X1,implies(X2,X3))))|is_a_theorem(implies(implies(X2,X0),implies(X1,implies(X2,X3)))))),
% 63.44/8.51 inference(resolution,[status(thm)],[f176,f7])).
% 63.44/8.51 fof(f1686,plain,(
% 63.44/8.51 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(implies(X0,X1),implies(implies(X2,X1),X3)),implies(X1,X3))))),
% 63.44/8.51 inference(resolution,[status(thm)],[f751,f8])).
% 63.44/8.51 fof(f2129,plain,(
% 63.44/8.51 ![X0,X1,X2,X3]: (~is_a_theorem(implies(implies(X0,X1),implies(implies(X2,X1),X3)))|is_a_theorem(implies(X1,X3)))),
% 63.44/8.51 inference(resolution,[status(thm)],[f1686,f7])).
% 64.25/8.58 fof(f2332,plain,(
% 64.25/8.58 ![X0]: (is_a_theorem(implies(X0,X0)))),
% 64.25/8.58 inference(resolution,[status(thm)],[f2129,f8])).
% 64.25/8.58 fof(f2517,plain,(
% 64.25/8.58 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(implies(X1,X0),implies(X1,X2)))))),
% 64.25/8.58 inference(resolution,[status(thm)],[f2332,f92])).
% 64.25/8.58 fof(f3840,plain,(
% 64.25/8.58 ![X0,X1,X2]: (~is_a_theorem(implies(X0,implies(X1,X2)))|is_a_theorem(implies(implies(X1,X0),implies(X1,X2))))),
% 64.25/8.58 inference(resolution,[status(thm)],[f2517,f7])).
% 64.25/8.58 fof(f4787,plain,(
% 64.25/8.58 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,X1),implies(X0,implies(X2,X1)))))),
% 64.25/8.58 inference(resolution,[status(thm)],[f3840,f14])).
% 64.25/8.58 fof(f6300,plain,(
% 64.25/8.58 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(X1,implies(X0,X2)))))),
% 64.25/8.58 inference(resolution,[status(thm)],[f782,f4787])).
% 64.25/8.58 fof(f31202,plain,(
% 64.25/8.58 ![X0,X1,X2]: (~is_a_theorem(implies(X0,implies(X1,X2)))|is_a_theorem(implies(X1,implies(X0,X2))))),
% 64.25/8.58 inference(resolution,[status(thm)],[f6300,f7])).
% 64.25/8.58 fof(f45010,plain,(
% 64.25/8.58 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(implies(X0,X1),implies(X2,X1)))))),
% 64.25/8.58 inference(resolution,[status(thm)],[f31202,f4787])).
% 64.25/8.58 fof(f46959,plain,(
% 64.25/8.58 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))))),
% 64.25/8.58 inference(resolution,[status(thm)],[f45010,f782])).
% 64.25/8.58 fof(f104876,plain,(
% 64.25/8.58 $false),
% 64.25/8.58 inference(backward_subsumption_resolution,[status(thm)],[f11,f46959])).
% 64.25/8.58 % SZS output end CNFRefutation for theBenchmark.p
% 10.40/8.61 % Elapsed time: 8.194996 seconds
% 10.40/8.61 % CPU time: 64.682866 seconds
% 10.40/8.61 % Total memory used: 574.721 MB
% 10.40/8.61 % Net memory used: 508.015 MB
%------------------------------------------------------------------------------