%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL026-1 : 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 : n002.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 01:09:13 PM UTC 2026
% Result : Unsatisfiable 40.66s 5.58s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL026-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n002.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 00:03:01 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.36 % Drodi V4.1.1
% 40.66/5.58 % Refutation found
% 40.66/5.58 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 40.66/5.58 % SZS output start CNFRefutation for theBenchmark
% 40.66/5.58 fof(f1,axiom,(
% 40.66/5.58 (![X,Y]: (( ~ is_a_theorem(implies(X,Y))| ~ is_a_theorem(X)| is_a_theorem(Y) ) ))),
% 40.66/5.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 40.66/5.58 fof(f2,axiom,(
% 40.66/5.58 (![X,Y]: (is_a_theorem(implies(X,implies(Y,X))) ))),
% 40.66/5.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 40.66/5.58 fof(f3,axiom,(
% 40.66/5.58 (![X]: (is_a_theorem(implies(implies(implies(X,falsehood),falsehood),X)) ))),
% 40.66/5.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 40.66/5.58 fof(f4,axiom,(
% 40.66/5.58 (![X,Y,Z]: (is_a_theorem(implies(implies(X,implies(Y,Z)),implies(implies(X,Y),implies(X,Z)))) ))),
% 40.66/5.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 40.66/5.58 fof(f5,negated_conjecture,(
% 40.66/5.58 ~ is_a_theorem(implies(implies(implies(a,b),a),a)) ),
% 40.66/5.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 40.66/5.58 fof(f6,plain,(
% 40.66/5.58 ![Y]: ((![X]: (~is_a_theorem(implies(X,Y))|~is_a_theorem(X)))|is_a_theorem(Y))),
% 40.66/5.58 inference(miniscoping,[status(thm)],[f1])).
% 40.66/5.58 fof(f7,plain,(
% 40.66/5.58 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(X0)|is_a_theorem(X1))),
% 40.66/5.58 inference(cnf_transformation,[status(thm)],[f6])).
% 40.66/5.58 fof(f8,plain,(
% 40.66/5.58 ![X0,X1]: (is_a_theorem(implies(X0,implies(X1,X0))))),
% 40.66/5.58 inference(cnf_transformation,[status(thm)],[f2])).
% 40.66/5.58 fof(f9,plain,(
% 40.66/5.58 ![X0]: (is_a_theorem(implies(implies(implies(X0,falsehood),falsehood),X0)))),
% 40.66/5.58 inference(cnf_transformation,[status(thm)],[f3])).
% 40.66/5.58 fof(f10,plain,(
% 40.66/5.58 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(implies(X0,X1),implies(X0,X2)))))),
% 40.66/5.58 inference(cnf_transformation,[status(thm)],[f4])).
% 40.66/5.58 fof(f11,plain,(
% 40.66/5.58 ~is_a_theorem(implies(implies(implies(a,b),a),a))),
% 40.66/5.58 inference(cnf_transformation,[status(thm)],[f5])).
% 40.66/5.58 fof(f12,plain,(
% 40.66/5.58 ![X0,X1]: (~is_a_theorem(X0)|is_a_theorem(implies(X1,X0)))),
% 40.66/5.58 inference(resolution,[status(thm)],[f7,f8])).
% 40.66/5.58 fof(f14,plain,(
% 40.66/5.58 ![X0,X1,X2]: (~is_a_theorem(implies(X0,implies(X1,X2)))|is_a_theorem(implies(implies(X0,X1),implies(X0,X2))))),
% 40.66/5.58 inference(resolution,[status(thm)],[f10,f7])).
% 40.66/5.58 fof(f15,plain,(
% 40.66/5.58 ![X0,X1,X2,X3]: (is_a_theorem(implies(X0,implies(implies(X1,implies(X2,X3)),implies(implies(X1,X2),implies(X1,X3))))))),
% 40.66/5.58 inference(resolution,[status(thm)],[f10,f12])).
% 40.66/5.58 fof(f22,plain,(
% 40.66/5.58 ![X0,X1,X2]: (~is_a_theorem(implies(X0,implies(X1,X2)))|~is_a_theorem(implies(X0,X1))|is_a_theorem(implies(X0,X2)))),
% 40.66/5.58 inference(resolution,[status(thm)],[f14,f7])).
% 40.66/5.58 fof(f23,plain,(
% 40.66/5.58 ![X0,X1,X2,X3]: (~is_a_theorem(implies(X0,implies(X1,X2)))|is_a_theorem(implies(X3,implies(implies(X0,X1),implies(X0,X2)))))),
% 40.66/5.58 inference(resolution,[status(thm)],[f14,f12])).
% 40.66/5.58 fof(f27,plain,(
% 40.66/5.58 ![X0,X1,X2,X3]: (~is_a_theorem(implies(implies(X0,X1),implies(implies(X0,X2),X3)))|is_a_theorem(implies(implies(X0,X1),X3))|~is_a_theorem(implies(X0,implies(X1,X2))))),
% 40.66/5.58 inference(resolution,[status(thm)],[f22,f14])).
% 40.66/5.58 fof(f32,plain,(
% 40.66/5.58 ![X0,X1,X2]: (~is_a_theorem(implies(X0,implies(implies(X1,X0),X2)))|is_a_theorem(implies(X0,X2)))),
% 40.66/5.58 inference(resolution,[status(thm)],[f22,f8])).
% 40.66/5.58 fof(f41,plain,(
% 40.66/5.58 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,X1),implies(implies(X2,X0),implies(X2,X1)))))),
% 40.66/5.58 inference(resolution,[status(thm)],[f15,f32])).
% 40.66/5.58 fof(f46,plain,(
% 40.66/5.58 ![X0,X1,X2,X3,X4]: (~is_a_theorem(implies(X0,implies(X1,X2)))|~is_a_theorem(implies(X3,implies(implies(implies(X0,X1),implies(X0,X2)),X4)))|is_a_theorem(implies(X3,X4)))),
% 40.66/5.58 inference(resolution,[status(thm)],[f23,f22])).
% 40.66/5.58 fof(f67,plain,(
% 40.66/5.58 ![X0,X1]: (is_a_theorem(implies(X0,implies(implies(implies(X1,falsehood),falsehood),X1))))),
% 40.66/5.58 inference(resolution,[status(thm)],[f9,f12])).
% 40.66/5.58 fof(f100,plain,(
% 40.66/5.58 ![X0]: (is_a_theorem(implies(falsehood,X0)))),
% 40.66/5.58 inference(resolution,[status(thm)],[f67,f32])).
% 40.66/5.58 fof(f121,plain,(
% 40.66/5.58 ![X0,X1]: (is_a_theorem(implies(implies(implies(X0,falsehood),X1),X0))|~is_a_theorem(implies(implies(X0,falsehood),implies(X1,falsehood))))),
% 40.66/5.58 inference(resolution,[status(thm)],[f27,f67])).
% 40.66/5.58 fof(f161,plain,(
% 40.66/5.58 ![X0,X1]: (is_a_theorem(implies(X0,implies(falsehood,X1))))),
% 40.66/5.58 inference(resolution,[status(thm)],[f100,f12])).
% 40.66/5.58 fof(f240,plain,(
% 40.66/5.60 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|is_a_theorem(implies(implies(X2,X0),implies(X2,X1))))),
% 40.66/5.60 inference(resolution,[status(thm)],[f41,f7])).
% 40.66/5.60 fof(f308,plain,(
% 40.66/5.60 ![X0,X1,X2,X3]: (~is_a_theorem(implies(X0,implies(X1,X2)))|is_a_theorem(implies(implies(implies(X0,X2),X3),implies(implies(X0,X1),X3))))),
% 40.66/5.60 inference(resolution,[status(thm)],[f46,f41])).
% 40.66/5.60 fof(f854,plain,(
% 40.66/5.60 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(implies(X2,X0))|is_a_theorem(implies(X2,X1)))),
% 40.66/5.60 inference(resolution,[status(thm)],[f240,f7])).
% 40.66/5.60 fof(f963,plain,(
% 40.66/5.60 ![X0]: (is_a_theorem(implies(implies(implies(X0,falsehood),X0),X0))|~is_a_theorem(implies(falsehood,falsehood)))),
% 40.66/5.60 inference(resolution,[status(thm)],[f121,f240])).
% 40.66/5.60 fof(f976,plain,(
% 40.66/5.60 ![X0]: (is_a_theorem(implies(implies(implies(X0,falsehood),X0),X0)))),
% 40.66/5.60 inference(forward_subsumption_resolution,[status(thm)],[f963,f100])).
% 40.66/5.60 fof(f3832,plain,(
% 40.66/5.60 ![X0]: (~is_a_theorem(implies(X0,a))|~is_a_theorem(implies(implies(implies(a,b),a),X0)))),
% 40.66/5.60 inference(resolution,[status(thm)],[f854,f11])).
% 40.66/5.60 fof(f4212,plain,(
% 40.66/5.60 ~is_a_theorem(implies(implies(implies(a,b),a),implies(implies(a,falsehood),a)))),
% 40.66/5.60 inference(resolution,[status(thm)],[f3832,f976])).
% 40.66/5.60 fof(f16468,plain,(
% 40.66/5.60 ~is_a_theorem(implies(a,implies(falsehood,b)))),
% 40.66/5.60 inference(resolution,[status(thm)],[f4212,f308])).
% 40.66/5.60 fof(f16485,plain,(
% 40.66/5.60 $false),
% 40.66/5.60 inference(forward_subsumption_resolution,[status(thm)],[f16468,f161])).
% 40.66/5.60 % SZS output end CNFRefutation for theBenchmark.p
% 40.66/5.66 % Elapsed time: 5.294301 seconds
% 40.66/5.66 % CPU time: 41.681434 seconds
% 40.66/5.66 % Total memory used: 396.969 MB
% 40.66/5.66 % Net memory used: 341.038 MB
%------------------------------------------------------------------------------