%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL067-1 : 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 : 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 01:09:17 PM UTC 2026
% Result : Unsatisfiable 49.30s 6.78s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL067-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.34 % Computer : n013.cluster.edu
% 0.09/0.34 % Model : x86_64 x86_64
% 0.09/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.34 % Memory : 8046.5625MB
% 0.09/0.34 % OS : Linux 6.8.0-71-generic
% 0.09/0.34 % CPULimit : 300
% 0.09/0.34 % WCLimit : 300
% 0.09/0.34 % DateTime : Mon Sep 21 00:02:37 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.12/0.36 % Drodi V4.1.1
% 49.30/6.78 % Refutation found
% 49.30/6.78 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 49.30/6.78 % SZS output start CNFRefutation for theBenchmark
% 49.30/6.78 fof(f1,axiom,(
% 49.30/6.78 (![X,Y]: (( ~ is_a_theorem(implies(X,Y))| ~ is_a_theorem(X)| is_a_theorem(Y) ) ))),
% 49.30/6.78 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 49.30/6.78 fof(f2,axiom,(
% 49.30/6.78 (![X,Y,Z]: (is_a_theorem(implies(implies(implies(X,Y),Z),implies(Y,Z))) ))),
% 49.30/6.78 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 49.30/6.78 fof(f3,axiom,(
% 49.30/6.78 (![X,Y,Z]: (is_a_theorem(implies(implies(implies(X,Y),Z),implies(not(X),Z))) ))),
% 49.30/6.78 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 49.30/6.78 fof(f4,axiom,(
% 49.30/6.78 (![X,Z,Y]: (is_a_theorem(implies(implies(not(X),Z),implies(implies(Y,Z),implies(implies(X,Y),Z)))) ))),
% 49.30/6.78 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 49.30/6.78 fof(f5,negated_conjecture,(
% 49.30/6.78 ~ is_a_theorem(implies(implies(a,b),implies(implies(b,c),implies(a,c)))) ),
% 49.30/6.78 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 49.30/6.78 fof(f6,plain,(
% 49.30/6.78 ![Y]: ((![X]: (~is_a_theorem(implies(X,Y))|~is_a_theorem(X)))|is_a_theorem(Y))),
% 49.30/6.78 inference(miniscoping,[status(thm)],[f1])).
% 49.30/6.78 fof(f7,plain,(
% 49.30/6.78 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(X0)|is_a_theorem(X1))),
% 49.30/6.78 inference(cnf_transformation,[status(thm)],[f6])).
% 49.30/6.78 fof(f8,plain,(
% 49.30/6.78 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2))))),
% 49.30/6.78 inference(cnf_transformation,[status(thm)],[f2])).
% 49.30/6.78 fof(f9,plain,(
% 49.30/6.78 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(X0,X1),X2),implies(not(X0),X2))))),
% 49.30/6.78 inference(cnf_transformation,[status(thm)],[f3])).
% 49.30/6.78 fof(f10,plain,(
% 49.30/6.78 ![X0,X1,X2]: (is_a_theorem(implies(implies(not(X0),X1),implies(implies(X2,X1),implies(implies(X0,X2),X1)))))),
% 49.30/6.78 inference(cnf_transformation,[status(thm)],[f4])).
% 49.30/6.78 fof(f11,plain,(
% 49.30/6.78 ~is_a_theorem(implies(implies(a,b),implies(implies(b,c),implies(a,c))))),
% 49.30/6.78 inference(cnf_transformation,[status(thm)],[f5])).
% 49.30/6.78 fof(f12,plain,(
% 49.30/6.78 ![X0,X1,X2]: (~is_a_theorem(implies(implies(X0,X1),X2))|is_a_theorem(implies(X1,X2)))),
% 49.30/6.78 inference(resolution,[status(thm)],[f8,f7])).
% 49.30/6.78 fof(f13,plain,(
% 49.30/6.78 ![X0,X1]: (is_a_theorem(implies(X0,implies(X1,X0))))),
% 49.30/6.78 inference(resolution,[status(thm)],[f12,f8])).
% 49.30/6.78 fof(f14,plain,(
% 49.30/6.78 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(X1,implies(X2,X0)))))),
% 49.30/6.78 inference(resolution,[status(thm)],[f13,f12])).
% 49.30/6.78 fof(f18,plain,(
% 49.30/6.78 ![X0,X1,X2,X3]: (is_a_theorem(implies(X0,implies(X1,implies(X2,implies(X3,X0))))))),
% 49.30/6.78 inference(resolution,[status(thm)],[f14,f12])).
% 49.30/6.78 fof(f57,plain,(
% 49.30/6.78 ![X0,X1,X2]: (~is_a_theorem(implies(implies(X0,X1),X2))|is_a_theorem(implies(not(X0),X2)))),
% 49.30/6.78 inference(resolution,[status(thm)],[f9,f7])).
% 49.30/6.78 fof(f60,plain,(
% 49.30/6.78 ![X0,X1,X2]: (is_a_theorem(implies(not(implies(X0,X1)),implies(X1,X2))))),
% 49.30/6.78 inference(resolution,[status(thm)],[f57,f8])).
% 49.30/6.78 fof(f73,plain,(
% 49.30/6.78 ![X0,X1,X2]: (is_a_theorem(implies(not(X0),implies(X1,implies(X0,X2)))))),
% 49.30/6.78 inference(resolution,[status(thm)],[f57,f13])).
% 49.30/6.78 fof(f110,plain,(
% 49.30/6.78 ![X0,X1,X2]: (~is_a_theorem(implies(not(X0),X1))|is_a_theorem(implies(implies(X2,X1),implies(implies(X0,X2),X1))))),
% 49.30/6.78 inference(resolution,[status(thm)],[f10,f7])).
% 49.30/6.78 fof(f112,plain,(
% 49.30/6.78 ![X0,X1,X2]: (~is_a_theorem(implies(not(X0),X1))|is_a_theorem(implies(not(X2),implies(implies(X0,X2),X1))))),
% 49.30/6.78 inference(resolution,[status(thm)],[f110,f57])).
% 49.30/6.78 fof(f114,plain,(
% 49.30/6.78 ![X0,X1,X2]: (~is_a_theorem(implies(not(X0),X1))|~is_a_theorem(implies(X2,X1))|is_a_theorem(implies(implies(X0,X2),X1)))),
% 49.30/6.78 inference(resolution,[status(thm)],[f110,f7])).
% 49.30/6.78 fof(f173,plain,(
% 49.30/6.78 ![X0,X1,X2]: (~is_a_theorem(implies(not(X0),X1))|~is_a_theorem(implies(X2,X1))|~is_a_theorem(implies(X0,X2))|is_a_theorem(X1))),
% 49.30/6.78 inference(resolution,[status(thm)],[f114,f7])).
% 49.30/6.78 fof(f180,plain,(
% 49.30/6.78 ![X0,X1,X2,X3]: (~is_a_theorem(implies(X0,implies(X1,X2)))|~is_a_theorem(implies(implies(X3,X1),X0))|is_a_theorem(implies(X1,X2)))),
% 49.30/6.78 inference(resolution,[status(thm)],[f173,f60])).
% 49.30/6.78 fof(f181,plain,(
% 49.30/6.78 ![X0,X1,X2,X3]: (~is_a_theorem(implies(X0,implies(implies(X1,X2),X3)))|~is_a_theorem(implies(X2,X0))|is_a_theorem(implies(implies(X1,X2),X3))|~is_a_theorem(implies(not(X1),X3)))),
% 49.30/6.78 inference(resolution,[status(thm)],[f173,f112])).
% 49.30/6.82 fof(f185,plain,(
% 49.30/6.82 ![X0,X1,X2,X3]: (~is_a_theorem(implies(X0,implies(X1,implies(X2,X3))))|~is_a_theorem(implies(X2,X0))|is_a_theorem(implies(X1,implies(X2,X3))))),
% 49.30/6.82 inference(resolution,[status(thm)],[f173,f73])).
% 49.30/6.82 fof(f274,plain,(
% 49.30/6.82 ![X0,X1,X2]: (~is_a_theorem(implies(implies(X0,X1),implies(X1,X2)))|is_a_theorem(implies(X1,X2)))),
% 49.30/6.82 inference(resolution,[status(thm)],[f180,f8])).
% 49.30/6.82 fof(f320,plain,(
% 49.30/6.82 ![X0]: (is_a_theorem(implies(X0,X0)))),
% 49.30/6.82 inference(resolution,[status(thm)],[f274,f8])).
% 49.30/6.82 fof(f368,plain,(
% 49.30/6.82 ![X0,X1]: (is_a_theorem(implies(not(X0),implies(X0,X1))))),
% 49.30/6.82 inference(resolution,[status(thm)],[f320,f57])).
% 49.30/6.82 fof(f931,plain,(
% 49.30/6.82 ![X0,X1,X2,X3,X4]: (~is_a_theorem(implies(X0,X1))|is_a_theorem(implies(implies(X2,X0),implies(X3,implies(X4,X1))))|~is_a_theorem(implies(not(X2),implies(X3,implies(X4,X1)))))),
% 49.30/6.82 inference(resolution,[status(thm)],[f181,f18])).
% 49.30/6.82 fof(f959,plain,(
% 49.30/6.82 ![X0,X1,X2,X3]: (~is_a_theorem(implies(X0,implies(X1,implies(X0,X2))))|is_a_theorem(implies(implies(X3,X1),implies(X0,X2)))|~is_a_theorem(implies(not(X3),implies(X0,X2))))),
% 49.30/6.82 inference(resolution,[status(thm)],[f185,f110])).
% 49.30/6.82 fof(f10905,plain,(
% 49.30/6.82 ~is_a_theorem(implies(implies(b,c),implies(b,implies(implies(b,c),implies(a,c)))))|~is_a_theorem(implies(not(a),implies(implies(b,c),implies(a,c))))),
% 49.30/6.82 inference(resolution,[status(thm)],[f959,f11])).
% 49.30/6.82 fof(f10943,plain,(
% 49.30/6.82 ~is_a_theorem(implies(implies(b,c),implies(b,implies(implies(b,c),implies(a,c)))))),
% 49.30/6.82 inference(forward_subsumption_resolution,[status(thm)],[f10905,f73])).
% 49.30/6.82 fof(f11425,plain,(
% 49.30/6.82 ~is_a_theorem(implies(c,implies(a,c)))|~is_a_theorem(implies(not(b),implies(b,implies(implies(b,c),implies(a,c)))))),
% 49.30/6.82 inference(resolution,[status(thm)],[f10943,f931])).
% 49.30/6.82 fof(f11441,plain,(
% 49.30/6.82 ~is_a_theorem(implies(not(b),implies(b,implies(implies(b,c),implies(a,c)))))),
% 49.30/6.82 inference(forward_subsumption_resolution,[status(thm)],[f11425,f13])).
% 49.30/6.82 fof(f13213,plain,(
% 49.30/6.82 $false),
% 49.30/6.82 inference(forward_subsumption_resolution,[status(thm)],[f11441,f368])).
% 49.30/6.82 % SZS output end CNFRefutation for theBenchmark.p
% 9.78/6.85 % Elapsed time: 6.490744 seconds
% 9.78/6.85 % CPU time: 51.166770 seconds
% 9.78/6.85 % Total memory used: 470.220 MB
% 9.78/6.85 % Net memory used: 394.339 MB
%------------------------------------------------------------------------------