%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL040-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/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 01:09:14 PM UTC 2026
% Result : Unsatisfiable 44.77s 11.31s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL040-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/5.53 % Computer : n018.cluster.edu
% 0.11/5.53 % Model : x86_64 x86_64
% 0.11/5.53 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.53 % Memory : 8046.5625MB
% 0.11/5.53 % OS : Linux 6.8.0-71-generic
% 0.11/5.53 % CPULimit : 300
% 0.11/5.53 % WCLimit : 300
% 0.11/5.53 % DateTime : Mon Sep 21 00:03:35 UTC 2026
% 0.11/5.53 % CPUTime :
% 0.11/5.54 % Drodi V4.1.1
% 44.77/11.31 % Refutation found
% 44.77/11.31 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 44.77/11.31 % SZS output start CNFRefutation for theBenchmark
% 44.77/11.31 fof(f1,axiom,(
% 44.77/11.31 (![X,Y]: (( ~ is_a_theorem(implies(X,Y))| ~ is_a_theorem(X)| is_a_theorem(Y) ) ))),
% 44.77/11.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 44.77/11.31 fof(f2,axiom,(
% 44.77/11.31 (![X,Y]: (is_a_theorem(implies(X,implies(Y,X))) ))),
% 44.77/11.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 44.77/11.31 fof(f3,axiom,(
% 44.77/11.31 (![X,Y,Z]: (is_a_theorem(implies(implies(X,implies(Y,Z)),implies(implies(X,Y),implies(X,Z)))) ))),
% 44.77/11.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 44.77/11.31 fof(f7,negated_conjecture,(
% 44.77/11.31 ~ is_a_theorem(implies(implies(a,implies(b,c)),implies(b,implies(a,c)))) ),
% 44.77/11.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 44.77/11.31 fof(f8,plain,(
% 44.77/11.31 ![Y]: ((![X]: (~is_a_theorem(implies(X,Y))|~is_a_theorem(X)))|is_a_theorem(Y))),
% 44.77/11.31 inference(miniscoping,[status(thm)],[f1])).
% 44.77/11.31 fof(f9,plain,(
% 44.77/11.31 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(X0)|is_a_theorem(X1))),
% 44.77/11.31 inference(cnf_transformation,[status(thm)],[f8])).
% 44.77/11.31 fof(f10,plain,(
% 44.77/11.31 ![X0,X1]: (is_a_theorem(implies(X0,implies(X1,X0))))),
% 44.77/11.31 inference(cnf_transformation,[status(thm)],[f2])).
% 44.77/11.31 fof(f11,plain,(
% 44.77/11.31 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(implies(X0,X1),implies(X0,X2)))))),
% 44.77/11.31 inference(cnf_transformation,[status(thm)],[f3])).
% 44.77/11.31 fof(f15,plain,(
% 44.77/11.31 ~is_a_theorem(implies(implies(a,implies(b,c)),implies(b,implies(a,c))))),
% 44.77/11.31 inference(cnf_transformation,[status(thm)],[f7])).
% 44.77/11.31 fof(f16,plain,(
% 44.77/11.31 ![X0,X1]: (~is_a_theorem(X0)|is_a_theorem(implies(X1,X0)))),
% 44.77/11.31 inference(resolution,[status(thm)],[f10,f9])).
% 44.77/11.31 fof(f17,plain,(
% 44.77/11.31 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(X1,implies(X2,X1)))))),
% 44.77/11.31 inference(resolution,[status(thm)],[f16,f10])).
% 44.77/11.31 fof(f27,plain,(
% 44.77/11.31 ![X0,X1,X2]: (~is_a_theorem(implies(X0,implies(X1,X2)))|is_a_theorem(implies(implies(X0,X1),implies(X0,X2))))),
% 44.77/11.31 inference(resolution,[status(thm)],[f11,f9])).
% 44.77/11.31 fof(f29,plain,(
% 44.77/11.31 ![X0,X1,X2]: (~is_a_theorem(implies(X0,implies(X1,X2)))|~is_a_theorem(implies(X0,X1))|is_a_theorem(implies(X0,X2)))),
% 44.77/11.31 inference(resolution,[status(thm)],[f27,f9])).
% 44.77/11.31 fof(f37,plain,(
% 44.77/11.31 ![X0,X1,X2,X3]: (~is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(implies(implies(X0,X1),implies(X0,X2)),X3)))|is_a_theorem(implies(implies(X0,implies(X1,X2)),X3)))),
% 44.77/11.31 inference(resolution,[status(thm)],[f29,f11])).
% 44.77/11.31 fof(f76,plain,(
% 44.77/11.31 ![X0,X1,X2]: (~is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(X0,X1)))|is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(X0,X2))))),
% 44.77/11.31 inference(resolution,[status(thm)],[f29,f11])).
% 44.77/11.31 fof(f84,plain,(
% 44.77/11.31 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|is_a_theorem(implies(X0,X2))|~is_a_theorem(implies(X1,X2)))),
% 44.77/11.31 inference(resolution,[status(thm)],[f29,f16])).
% 44.77/11.31 fof(f98,plain,(
% 44.77/11.31 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(X3,implies(implies(X0,X1),implies(X0,X2))))))),
% 44.77/11.31 inference(resolution,[status(thm)],[f37,f17])).
% 44.77/11.31 fof(f248,plain,(
% 44.77/11.31 ![X0]: (~is_a_theorem(implies(implies(a,implies(b,c)),X0))|~is_a_theorem(implies(X0,implies(b,implies(a,c)))))),
% 44.77/11.31 inference(resolution,[status(thm)],[f84,f15])).
% 44.77/11.31 fof(f542,plain,(
% 44.77/11.31 ![X0]: (~is_a_theorem(implies(implies(a,implies(b,c)),implies(b,implies(X0,implies(a,c)))))|~is_a_theorem(implies(implies(b,implies(X0,implies(a,c))),implies(b,X0))))),
% 44.77/11.31 inference(resolution,[status(thm)],[f248,f76])).
% 44.77/11.31 fof(f5610,plain,(
% 44.77/11.31 ~is_a_theorem(implies(implies(b,implies(implies(a,b),implies(a,c))),implies(b,implies(a,b))))),
% 44.77/11.31 inference(resolution,[status(thm)],[f542,f98])).
% 44.77/11.31 fof(f5636,plain,(
% 44.77/11.31 $false),
% 44.77/11.31 inference(forward_subsumption_resolution,[status(thm)],[f5610,f17])).
% 44.77/11.31 % SZS output end CNFRefutation for theBenchmark.p
% 18.71/11.37 % Elapsed time: 5.821068 seconds
% 18.71/11.37 % CPU time: 45.875618 seconds
% 18.71/11.37 % Total memory used: 498.436 MB
% 18.71/11.37 % Net memory used: 417.764 MB
%------------------------------------------------------------------------------