%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL115-1 : 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 : n004.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 01:09:24 PM UTC 2026
% Result : Unsatisfiable 5.50s 1.22s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL115-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n004.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 21 00:05:49 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.38 % Drodi V4.1.1
% 5.50/1.22 % Refutation found
% 5.50/1.22 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 5.50/1.22 % SZS output start CNFRefutation for theBenchmark
% 5.50/1.22 fof(f1,axiom,(
% 5.50/1.22 (![X,Y]: (( ~ is_a_theorem(implies(X,Y))| ~ is_a_theorem(X)| is_a_theorem(Y) ) ))),
% 5.50/1.22 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.50/1.22 fof(f2,axiom,(
% 5.50/1.22 (![X,Y]: (is_a_theorem(implies(X,implies(Y,X))) ))),
% 5.50/1.22 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.50/1.22 fof(f3,axiom,(
% 5.50/1.22 (![X,Y,Z]: (is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z)))) ))),
% 5.50/1.22 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.50/1.22 fof(f4,axiom,(
% 5.50/1.22 (![X,Y]: (is_a_theorem(implies(implies(implies(X,Y),Y),implies(implies(Y,X),X))) ))),
% 5.50/1.22 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.50/1.22 fof(f5,axiom,(
% 5.50/1.22 (![X,Y]: (is_a_theorem(implies(implies(not(X),not(Y)),implies(Y,X))) ))),
% 5.50/1.22 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.50/1.22 fof(f6,negated_conjecture,(
% 5.50/1.22 ~ is_a_theorem(implies(not(implies(a,b)),not(b))) ),
% 5.50/1.22 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.50/1.22 fof(f7,plain,(
% 5.50/1.22 ![Y]: ((![X]: (~is_a_theorem(implies(X,Y))|~is_a_theorem(X)))|is_a_theorem(Y))),
% 5.50/1.22 inference(miniscoping,[status(thm)],[f1])).
% 5.50/1.22 fof(f8,plain,(
% 5.50/1.22 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(X0)|is_a_theorem(X1))),
% 5.50/1.22 inference(cnf_transformation,[status(thm)],[f7])).
% 5.50/1.22 fof(f9,plain,(
% 5.50/1.22 ![X0,X1]: (is_a_theorem(implies(X0,implies(X1,X0))))),
% 5.50/1.22 inference(cnf_transformation,[status(thm)],[f2])).
% 5.50/1.22 fof(f10,plain,(
% 5.50/1.22 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))))),
% 5.50/1.22 inference(cnf_transformation,[status(thm)],[f3])).
% 5.50/1.22 fof(f11,plain,(
% 5.50/1.22 ![X0,X1]: (is_a_theorem(implies(implies(implies(X0,X1),X1),implies(implies(X1,X0),X0))))),
% 5.50/1.22 inference(cnf_transformation,[status(thm)],[f4])).
% 5.50/1.22 fof(f12,plain,(
% 5.50/1.22 ![X0,X1]: (is_a_theorem(implies(implies(not(X0),not(X1)),implies(X1,X0))))),
% 5.50/1.22 inference(cnf_transformation,[status(thm)],[f5])).
% 5.50/1.22 fof(f13,plain,(
% 5.50/1.22 ~is_a_theorem(implies(not(implies(a,b)),not(b)))),
% 5.50/1.22 inference(cnf_transformation,[status(thm)],[f6])).
% 5.50/1.22 fof(f14,plain,(
% 5.50/1.22 ![X0,X1]: (~is_a_theorem(X0)|is_a_theorem(implies(X1,X0)))),
% 5.50/1.22 inference(resolution,[status(thm)],[f8,f9])).
% 5.50/1.22 fof(f19,definition,(
% 5.50/1.22 ![X1]: (sQ1_spl <=> (~is_a_theorem(X1)))),
% 5.50/1.22 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 5.50/1.22 fof(f20,plain,(
% 5.50/1.22 ![X0]: (~is_a_theorem(X0)|~sQ1_spl)),
% 5.50/1.22 inference(component_clause,[status(thm)],[f19])).
% 5.50/1.22 fof(f23,plain,(
% 5.50/1.22 ![X0,X1]: (~is_a_theorem(implies(not(X0),not(X1)))|is_a_theorem(implies(X1,X0)))),
% 5.50/1.22 inference(resolution,[status(thm)],[f12,f8])).
% 5.50/1.22 fof(f25,plain,(
% 5.50/1.22 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|is_a_theorem(implies(implies(X1,X2),implies(X0,X2))))),
% 5.50/1.22 inference(resolution,[status(thm)],[f10,f8])).
% 5.50/1.22 fof(f27,plain,(
% 5.50/1.22 ![X0,X1]: (~is_a_theorem(implies(implies(X0,X1),X1))|is_a_theorem(implies(implies(X1,X0),X0)))),
% 5.50/1.22 inference(resolution,[status(thm)],[f11,f8])).
% 5.50/1.22 fof(f28,plain,(
% 5.50/1.22 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(implies(X1,X2))|is_a_theorem(implies(X0,X2)))),
% 5.50/1.22 inference(resolution,[status(thm)],[f25,f8])).
% 5.50/1.22 fof(f29,plain,(
% 5.50/1.22 ![X0,X1]: (~is_a_theorem(implies(implies(X0,X1),X1))|~is_a_theorem(implies(X1,X0))|is_a_theorem(X0))),
% 5.50/1.22 inference(resolution,[status(thm)],[f27,f8])).
% 5.50/1.22 fof(f31,plain,(
% 5.50/1.22 ![X0,X1,X2]: (~is_a_theorem(implies(not(X0),X1))|~is_a_theorem(implies(X1,not(X2)))|is_a_theorem(implies(X2,X0)))),
% 5.50/1.22 inference(resolution,[status(thm)],[f28,f23])).
% 5.50/1.22 fof(f70,plain,(
% 5.50/1.22 $false|~sQ1_spl),
% 5.50/1.22 inference(backward_subsumption_resolution,[status(thm)],[f11,f20])).
% 5.50/1.22 fof(f74,plain,(
% 5.50/1.22 ~sQ1_spl),
% 5.50/1.22 inference(contradiction_clause,[status(thm)],[f70])).
% 5.50/1.22 fof(f105,plain,(
% 5.50/1.22 ![X0,X1]: (is_a_theorem(implies(implies(X0,X1),X1))|~is_a_theorem(X0))),
% 5.50/1.22 inference(resolution,[status(thm)],[f27,f14])).
% 5.50/1.22 fof(f124,plain,(
% 5.50/1.22 ![X0,X1,X2]: (~is_a_theorem(implies(X0,implies(not(X1),not(X2))))|is_a_theorem(implies(X0,implies(X2,X1))))),
% 5.50/1.22 inference(resolution,[status(thm)],[f28,f12])).
% 5.50/1.22 fof(f127,plain,(
% 5.50/1.22 ![X0,X1,X2]: (~is_a_theorem(implies(X0,implies(X1,X2)))|is_a_theorem(implies(X0,X2))|~is_a_theorem(X1))),
% 5.50/1.22 inference(resolution,[status(thm)],[f28,f105])).
% 5.50/1.22 fof(f339,plain,(
% 5.50/1.22 ![X0,X1]: (is_a_theorem(implies(not(X0),implies(X0,X1))))),
% 5.50/1.22 inference(resolution,[status(thm)],[f124,f9])).
% 5.50/1.22 fof(f345,plain,(
% 5.50/1.22 ![X0,X1]: (is_a_theorem(implies(not(not(X0)),implies(X1,X0))))),
% 5.50/1.22 inference(resolution,[status(thm)],[f339,f124])).
% 5.50/1.22 fof(f347,plain,(
% 5.50/1.22 ![X0,X1]: (is_a_theorem(implies(not(X0),X1))|~is_a_theorem(X0))),
% 5.50/1.22 inference(resolution,[status(thm)],[f339,f127])).
% 5.50/1.22 fof(f366,plain,(
% 5.50/1.22 ![X0,X1,X2]: (is_a_theorem(implies(not(implies(X0,implies(X1,X0))),X2)))),
% 5.50/1.22 inference(resolution,[status(thm)],[f347,f9])).
% 5.50/1.22 fof(f492,plain,(
% 5.50/1.22 ![X0,X1]: (is_a_theorem(implies(not(not(X0)),X0))|~is_a_theorem(X1))),
% 5.50/1.22 inference(resolution,[status(thm)],[f345,f127])).
% 5.50/1.22 fof(f505,definition,(
% 5.50/1.22 ![X0]: (sQ20_spl <=> (is_a_theorem(implies(not(not(X0)),X0))))),
% 5.50/1.22 introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition])).
% 5.50/1.22 fof(f506,plain,(
% 5.50/1.22 ![X0]: (is_a_theorem(implies(not(not(X0)),X0))|~sQ20_spl)),
% 5.50/1.22 inference(component_clause,[status(thm)],[f505])).
% 5.50/1.22 fof(f508,plain,(
% 5.50/1.22 sQ20_spl|sQ1_spl),
% 5.50/1.22 inference(split_clause,[status(thm)],[f492,f505,f19])).
% 5.50/1.22 fof(f529,plain,(
% 5.50/1.22 ![X0]: (is_a_theorem(implies(X0,not(not(X0))))|~sQ20_spl)),
% 5.50/1.22 inference(resolution,[status(thm)],[f506,f23])).
% 5.50/1.22 fof(f530,plain,(
% 5.50/1.22 ![X0,X1]: (~is_a_theorem(implies(X0,not(X1)))|is_a_theorem(implies(X1,not(X0)))|~sQ20_spl)),
% 5.50/1.22 inference(resolution,[status(thm)],[f506,f31])).
% 5.50/1.22 fof(f627,plain,(
% 5.50/1.22 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(X1,implies(X2,X1)))))),
% 5.50/1.22 inference(resolution,[status(thm)],[f366,f23])).
% 5.50/1.22 fof(f937,plain,(
% 5.50/1.22 ![X0,X1,X2]: (~is_a_theorem(implies(implies(X0,implies(X1,X0)),X2))|is_a_theorem(X2))),
% 5.50/1.22 inference(resolution,[status(thm)],[f29,f627])).
% 5.50/1.22 fof(f1368,plain,(
% 5.50/1.22 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2))))),
% 5.50/1.22 inference(resolution,[status(thm)],[f937,f10])).
% 5.50/1.22 fof(f1611,plain,(
% 5.50/1.22 ![X0,X1,X2]: (~is_a_theorem(implies(implies(X0,X1),X2))|is_a_theorem(implies(X1,X2)))),
% 5.50/1.22 inference(resolution,[status(thm)],[f1368,f8])).
% 5.50/1.22 fof(f1726,plain,(
% 5.50/1.22 ![X0,X1]: (is_a_theorem(implies(X0,not(not(implies(X1,X0)))))|~sQ20_spl)),
% 5.50/1.22 inference(resolution,[status(thm)],[f1611,f529])).
% 5.50/1.22 fof(f2102,plain,(
% 5.50/1.22 ~is_a_theorem(implies(b,not(not(implies(a,b)))))|~sQ20_spl),
% 5.50/1.22 inference(resolution,[status(thm)],[f530,f13])).
% 5.50/1.22 fof(f2124,plain,(
% 5.50/1.22 $false|~sQ20_spl),
% 5.50/1.22 inference(forward_subsumption_resolution,[status(thm)],[f2102,f1726])).
% 5.50/1.22 fof(f2125,plain,(
% 5.50/1.22 ~sQ20_spl),
% 5.50/1.22 inference(contradiction_clause,[status(thm)],[f2124])).
% 5.50/1.22 fof(f2126,plain,(
% 5.50/1.22 $false),
% 5.50/1.22 inference(sat_refutation,[status(thm)],[f74,f508,f2125])).
% 5.50/1.22 % SZS output end CNFRefutation for theBenchmark.p
% 2.98/1.24 % Elapsed time: 0.850695 seconds
% 2.98/1.24 % CPU time: 6.390999 seconds
% 2.98/1.24 % Total memory used: 103.471 MB
% 2.98/1.24 % Net memory used: 92.310 MB
%------------------------------------------------------------------------------