%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL400-1 : TPTP v9.3.1. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n020.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 01:09:59 PM UTC 2026
% Result : Unsatisfiable 62.09s 8.32s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL400-1 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.34 % Computer : n020.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 00:29:03 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.36 % Drodi V4.1.1
% 62.09/8.32 % Refutation found
% 62.09/8.32 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 62.09/8.32 % SZS output start CNFRefutation for theBenchmark
% 62.09/8.32 fof(f1,axiom,(
% 62.09/8.32 (![X,Y]: (( ~ is_a_theorem(implies(X,Y))| ~ is_a_theorem(X)| is_a_theorem(Y) ) ))),
% 62.09/8.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 62.09/8.32 fof(f2,axiom,(
% 62.09/8.32 (![X,Y,Z]: (is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z)))) ))),
% 62.09/8.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 62.09/8.32 fof(f3,axiom,(
% 62.09/8.32 (![X]: (is_a_theorem(implies(implies(not(X),X),X)) ))),
% 62.09/8.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 62.09/8.32 fof(f4,axiom,(
% 62.09/8.32 (![X,Y]: (is_a_theorem(implies(X,implies(not(X),Y))) ))),
% 62.09/8.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 62.09/8.32 fof(f5,negated_conjecture,(
% 62.09/8.32 ~ is_a_theorem(implies(not(implies(x,y)),x)) ),
% 62.09/8.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 62.09/8.32 fof(f6,plain,(
% 62.09/8.32 ![Y]: ((![X]: (~is_a_theorem(implies(X,Y))|~is_a_theorem(X)))|is_a_theorem(Y))),
% 62.09/8.32 inference(miniscoping,[status(thm)],[f1])).
% 62.09/8.32 fof(f7,plain,(
% 62.09/8.32 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(X0)|is_a_theorem(X1))),
% 62.09/8.32 inference(cnf_transformation,[status(thm)],[f6])).
% 62.09/8.32 fof(f8,plain,(
% 62.09/8.32 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))))),
% 62.09/8.32 inference(cnf_transformation,[status(thm)],[f2])).
% 62.09/8.32 fof(f9,plain,(
% 62.09/8.32 ![X0]: (is_a_theorem(implies(implies(not(X0),X0),X0)))),
% 62.09/8.32 inference(cnf_transformation,[status(thm)],[f3])).
% 62.09/8.32 fof(f10,plain,(
% 62.09/8.32 ![X0,X1]: (is_a_theorem(implies(X0,implies(not(X0),X1))))),
% 62.09/8.32 inference(cnf_transformation,[status(thm)],[f4])).
% 62.09/8.32 fof(f11,plain,(
% 62.09/8.32 ~is_a_theorem(implies(not(implies(x,y)),x))),
% 62.09/8.32 inference(cnf_transformation,[status(thm)],[f5])).
% 62.09/8.32 fof(f13,plain,(
% 62.09/8.32 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|is_a_theorem(implies(implies(X1,X2),implies(X0,X2))))),
% 62.09/8.32 inference(resolution,[status(thm)],[f8,f7])).
% 62.09/8.32 fof(f18,plain,(
% 62.09/8.32 ![X0,X1]: (is_a_theorem(implies(implies(X0,X1),implies(implies(not(X0),X0),X1))))),
% 62.09/8.32 inference(resolution,[status(thm)],[f13,f9])).
% 62.09/8.32 fof(f19,plain,(
% 62.09/8.32 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),X3),implies(implies(X2,X0),X3))))),
% 62.09/8.32 inference(resolution,[status(thm)],[f13,f8])).
% 62.09/8.32 fof(f20,plain,(
% 62.09/8.32 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(not(X0),X1),X2),implies(X0,X2))))),
% 62.09/8.32 inference(resolution,[status(thm)],[f13,f10])).
% 62.09/8.32 fof(f59,plain,(
% 62.09/8.32 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(implies(not(X0),X0),X1),X2),implies(implies(X0,X1),X2))))),
% 62.09/8.32 inference(resolution,[status(thm)],[f18,f13])).
% 62.09/8.32 fof(f63,plain,(
% 62.09/8.32 ![X0,X1,X2,X3]: (~is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X1)),X3))|is_a_theorem(implies(implies(X2,X0),X3)))),
% 62.09/8.32 inference(resolution,[status(thm)],[f19,f7])).
% 62.09/8.32 fof(f65,plain,(
% 62.09/8.32 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(implies(X0,X1),X2),implies(implies(implies(not(X0),X3),X1),X2))))),
% 62.09/8.32 inference(resolution,[status(thm)],[f20,f13])).
% 62.09/8.32 fof(f66,plain,(
% 62.09/8.32 ![X0,X1,X2]: (~is_a_theorem(implies(implies(not(X0),X1),X2))|is_a_theorem(implies(X0,X2)))),
% 62.09/8.32 inference(resolution,[status(thm)],[f20,f7])).
% 62.09/8.32 fof(f142,plain,(
% 62.09/8.32 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(implies(implies(X0,X1),X2),X3),implies(implies(implies(implies(not(X0),X0),X1),X2),X3))))),
% 62.09/8.32 inference(resolution,[status(thm)],[f59,f13])).
% 62.09/8.32 fof(f143,plain,(
% 62.09/8.32 ![X0,X1,X2]: (~is_a_theorem(implies(implies(implies(not(X0),X0),X1),X2))|is_a_theorem(implies(implies(X0,X1),X2)))),
% 62.09/8.32 inference(resolution,[status(thm)],[f59,f7])).
% 62.09/8.32 fof(f146,plain,(
% 62.09/8.32 ![X0]: (is_a_theorem(implies(X0,X0)))),
% 62.09/8.32 inference(resolution,[status(thm)],[f66,f9])).
% 62.09/8.32 fof(f172,plain,(
% 62.09/8.32 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,not(X1)),implies(X1,implies(X0,X2)))))),
% 62.09/8.32 inference(resolution,[status(thm)],[f63,f20])).
% 62.09/8.32 fof(f173,plain,(
% 62.09/8.32 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,implies(not(X1),X1)),implies(implies(X1,X2),implies(X0,X2)))))),
% 62.09/8.32 inference(resolution,[status(thm)],[f63,f59])).
% 62.09/8.32 fof(f205,plain,(
% 62.09/8.32 ![X0,X1,X2,X3,X4]: (is_a_theorem(implies(implies(implies(implies(implies(not(X0),X1),X2),X3),X4),implies(implies(implies(X0,X2),X3),X4))))),
% 62.09/8.32 inference(resolution,[status(thm)],[f65,f13])).
% 62.09/8.32 fof(f206,plain,(
% 62.09/8.32 ![X0,X1,X2,X3]: (~is_a_theorem(implies(implies(X0,X1),X2))|is_a_theorem(implies(implies(implies(not(X0),X3),X1),X2)))),
% 62.09/8.32 inference(resolution,[status(thm)],[f65,f7])).
% 62.09/8.32 fof(f312,plain,(
% 62.09/8.32 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(X1,implies(not(X0),X2)))))),
% 62.09/8.32 inference(resolution,[status(thm)],[f172,f66])).
% 62.09/8.32 fof(f314,plain,(
% 62.09/8.32 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(implies(X0,implies(X1,X2)),X3),implies(implies(X1,not(X0)),X3))))),
% 62.09/8.32 inference(resolution,[status(thm)],[f172,f13])).
% 62.09/8.32 fof(f341,plain,(
% 62.09/8.32 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(implies(X0,implies(not(X1),X2)),X3),implies(X1,X3))))),
% 62.09/8.32 inference(resolution,[status(thm)],[f312,f13])).
% 62.09/8.32 fof(f342,plain,(
% 62.09/8.32 ![X0,X1,X2]: (~is_a_theorem(X0)|is_a_theorem(implies(X1,implies(not(X0),X2))))),
% 62.09/8.32 inference(resolution,[status(thm)],[f312,f7])).
% 62.09/8.32 fof(f397,plain,(
% 62.09/8.32 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(not(implies(X1,X1)),X2))))),
% 62.09/8.32 inference(resolution,[status(thm)],[f342,f146])).
% 62.09/8.32 fof(f417,plain,(
% 62.09/8.32 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(implies(not(implies(X0,X0)),X1),X2),implies(X3,X2))))),
% 62.09/8.32 inference(resolution,[status(thm)],[f397,f13])).
% 62.09/8.32 fof(f926,plain,(
% 62.09/8.32 ![X0,X1,X2,X3]: (~is_a_theorem(implies(implies(implies(X0,X1),X2),X3))|is_a_theorem(implies(implies(implies(implies(not(X0),X0),X1),X2),X3)))),
% 62.09/8.32 inference(resolution,[status(thm)],[f142,f7])).
% 62.09/8.32 fof(f1119,plain,(
% 62.09/8.32 ![X0,X1,X2]: (~is_a_theorem(implies(X0,implies(not(X1),X1)))|is_a_theorem(implies(implies(X1,X2),implies(X0,X2))))),
% 62.09/8.32 inference(resolution,[status(thm)],[f173,f7])).
% 62.09/8.32 fof(f1293,plain,(
% 62.09/8.32 ![X0,X1,X2,X3,X4]: (~is_a_theorem(implies(implies(implies(implies(not(X0),X1),X2),X3),X4))|is_a_theorem(implies(implies(implies(X0,X2),X3),X4)))),
% 62.09/8.32 inference(resolution,[status(thm)],[f205,f7])).
% 62.09/8.32 fof(f1318,plain,(
% 62.09/8.32 ![X0,X1]: (is_a_theorem(implies(implies(implies(not(not(X0)),X1),X0),X0)))),
% 62.09/8.32 inference(resolution,[status(thm)],[f206,f9])).
% 62.09/8.32 fof(f1322,plain,(
% 62.09/8.32 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(implies(not(X0),X1),not(X2)),implies(X2,implies(X0,X3)))))),
% 62.09/8.32 inference(resolution,[status(thm)],[f206,f172])).
% 62.09/8.32 fof(f1351,plain,(
% 62.09/8.32 ![X0,X1]: (~is_a_theorem(implies(implies(not(not(X0)),X1),X0))|is_a_theorem(X0))),
% 62.09/8.32 inference(resolution,[status(thm)],[f1318,f7])).
% 62.09/8.32 fof(f1722,plain,(
% 62.09/8.32 ![X0,X1,X2,X3]: (~is_a_theorem(implies(implies(X0,implies(not(X1),X2)),X3))|is_a_theorem(implies(X1,X3)))),
% 62.09/8.32 inference(resolution,[status(thm)],[f341,f7])).
% 62.09/8.32 fof(f1728,plain,(
% 62.09/8.32 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(X0,X0),X1),implies(X2,X1))))),
% 62.09/8.32 inference(resolution,[status(thm)],[f417,f143])).
% 62.09/8.32 fof(f1745,plain,(
% 62.09/8.32 ![X0,X1,X2]: (~is_a_theorem(implies(implies(X0,X0),X1))|is_a_theorem(implies(X2,X1)))),
% 62.09/8.32 inference(resolution,[status(thm)],[f1728,f7])).
% 62.09/8.32 fof(f2736,plain,(
% 62.09/8.32 ![X0,X1,X2,X3]: (~is_a_theorem(implies(implies(X0,implies(X1,X2)),X3))|is_a_theorem(implies(implies(X1,not(X0)),X3)))),
% 62.09/8.32 inference(resolution,[status(thm)],[f314,f7])).
% 62.09/8.32 fof(f8396,plain,(
% 62.09/8.32 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,X1),implies(implies(implies(X2,X2),X0),X1))))),
% 62.09/8.32 inference(resolution,[status(thm)],[f1119,f1728])).
% 62.09/8.32 fof(f8527,plain,(
% 62.09/8.32 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(implies(implies(X1,X1),X2),X2))))),
% 62.09/8.32 inference(resolution,[status(thm)],[f8396,f1745])).
% 62.09/8.32 fof(f8602,plain,(
% 62.09/8.32 ![X0,X1]: (is_a_theorem(implies(implies(implies(X0,X0),X1),X1)))),
% 62.09/8.32 inference(resolution,[status(thm)],[f8527,f1351])).
% 62.09/8.32 fof(f8683,plain,(
% 62.09/8.32 ![X0,X1]: (is_a_theorem(implies(implies(implies(implies(not(X0),X0),X0),X1),X1)))),
% 62.09/8.32 inference(resolution,[status(thm)],[f8602,f926])).
% 62.09/8.32 fof(f9823,plain,(
% 62.09/8.32 ![X0,X1]: (is_a_theorem(implies(implies(X0,implies(not(X1),X1)),implies(X0,X1))))),
% 62.09/8.32 inference(resolution,[status(thm)],[f8683,f63])).
% 62.09/8.32 fof(f11105,plain,(
% 62.09/8.32 ![X0,X1]: (is_a_theorem(implies(implies(not(X0),X1),implies(implies(X1,X0),X0))))),
% 62.09/8.32 inference(resolution,[status(thm)],[f9823,f63])).
% 62.09/8.32 fof(f11108,plain,(
% 62.09/8.32 ![X0,X1]: (is_a_theorem(implies(X0,implies(X1,X0))))),
% 62.09/8.32 inference(resolution,[status(thm)],[f9823,f1722])).
% 62.09/8.32 fof(f11211,plain,(
% 62.09/8.32 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2))))),
% 51.12/8.40 inference(resolution,[status(thm)],[f11108,f13])).
% 51.12/8.40 fof(f12963,plain,(
% 51.12/8.40 ![X0,X1,X2]: (~is_a_theorem(implies(implies(X0,X1),X2))|is_a_theorem(implies(X1,X2)))),
% 51.12/8.40 inference(resolution,[status(thm)],[f11211,f7])).
% 51.12/8.40 fof(f16359,plain,(
% 51.12/8.40 ![X0,X1]: (is_a_theorem(implies(X0,implies(implies(X0,X1),X1))))),
% 51.12/8.40 inference(resolution,[status(thm)],[f11105,f12963])).
% 51.12/8.40 fof(f16372,plain,(
% 51.12/8.40 ![X0,X1]: (~is_a_theorem(implies(not(X0),X1))|is_a_theorem(implies(implies(X1,X0),X0)))),
% 51.12/8.40 inference(resolution,[status(thm)],[f11105,f7])).
% 51.12/8.40 fof(f16486,plain,(
% 51.12/8.40 ![X0,X1]: (~is_a_theorem(X0)|is_a_theorem(implies(implies(X0,X1),X1)))),
% 51.12/8.40 inference(resolution,[status(thm)],[f16359,f7])).
% 51.12/8.40 fof(f21935,plain,(
% 51.12/8.40 ![X0,X1]: (is_a_theorem(implies(implies(implies(implies(not(X0),X1),X1),X0),X0)))),
% 51.12/8.40 inference(resolution,[status(thm)],[f16372,f16359])).
% 51.12/8.40 fof(f25997,plain,(
% 51.12/8.40 ![X0,X1]: (is_a_theorem(implies(implies(implies(X0,X1),X0),X0)))),
% 51.12/8.40 inference(resolution,[status(thm)],[f21935,f1293])).
% 51.12/8.40 fof(f26043,plain,(
% 51.12/8.40 ![X0]: (is_a_theorem(implies(implies(X0,not(X0)),not(X0))))),
% 51.12/8.40 inference(resolution,[status(thm)],[f25997,f143])).
% 51.12/8.40 fof(f26067,plain,(
% 51.12/8.40 ![X0,X1]: (~is_a_theorem(implies(implies(X0,X1),X0))|is_a_theorem(X0))),
% 51.12/8.40 inference(resolution,[status(thm)],[f25997,f7])).
% 51.12/8.40 fof(f26166,plain,(
% 51.12/8.40 ![X0,X1]: (is_a_theorem(implies(not(X0),implies(X0,X1))))),
% 51.12/8.40 inference(resolution,[status(thm)],[f26067,f1322])).
% 51.12/8.40 fof(f26757,plain,(
% 51.12/8.40 ![X0]: (is_a_theorem(implies(X0,not(not(X0)))))),
% 51.12/8.40 inference(resolution,[status(thm)],[f26043,f66])).
% 51.12/8.40 fof(f26929,plain,(
% 51.12/8.40 ![X0,X1]: (is_a_theorem(implies(implies(implies(X0,not(not(X0))),X1),X1)))),
% 51.12/8.40 inference(resolution,[status(thm)],[f26757,f16486])).
% 51.12/8.40 fof(f43685,plain,(
% 51.12/8.40 ![X0,X1]: (is_a_theorem(implies(implies(X0,X1),implies(X0,not(not(X1))))))),
% 51.12/8.40 inference(resolution,[status(thm)],[f26929,f63])).
% 51.12/8.40 fof(f57055,plain,(
% 51.12/8.40 ![X0,X1]: (is_a_theorem(implies(implies(not(X0),not(X1)),implies(X1,X0))))),
% 51.12/8.40 inference(resolution,[status(thm)],[f2736,f9823])).
% 51.12/8.40 fof(f58971,plain,(
% 51.12/8.40 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|is_a_theorem(implies(X0,not(not(X1)))))),
% 51.12/8.40 inference(resolution,[status(thm)],[f43685,f7])).
% 51.12/8.40 fof(f64527,plain,(
% 51.12/8.40 ![X0,X1]: (~is_a_theorem(implies(not(X0),not(X1)))|is_a_theorem(implies(X1,X0)))),
% 51.12/8.40 inference(resolution,[status(thm)],[f57055,f7])).
% 51.12/8.40 fof(f64934,plain,(
% 51.12/8.40 ![X0,X1]: (is_a_theorem(implies(not(X0),not(not(implies(X0,X1))))))),
% 51.12/8.40 inference(resolution,[status(thm)],[f58971,f26166])).
% 51.12/8.40 fof(f67589,plain,(
% 51.12/8.40 ![X0,X1]: (is_a_theorem(implies(not(implies(X0,X1)),X0)))),
% 51.12/8.40 inference(resolution,[status(thm)],[f64527,f64934])).
% 51.12/8.40 fof(f67760,plain,(
% 51.12/8.40 $false),
% 51.12/8.40 inference(backward_subsumption_resolution,[status(thm)],[f11,f67589])).
% 51.12/8.40 % SZS output end CNFRefutation for theBenchmark.p
% 5.05/8.42 % Elapsed time: 8.044560 seconds
% 5.05/8.42 % CPU time: 63.435067 seconds
% 5.05/8.42 % Total memory used: 472.939 MB
% 5.05/8.42 % Net memory used: 411.604 MB
%------------------------------------------------------------------------------