%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL364-1 : 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 01:09:53 PM UTC 2026
% Result : Unsatisfiable 1.10s 0.72s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL364-1 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.37 % Computer : n020.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Mon Sep 21 00:25:02 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 % Drodi V4.1.1
% 1.10/0.72 % Refutation found
% 1.10/0.72 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 1.10/0.72 % SZS output start CNFRefutation for theBenchmark
% 1.10/0.72 fof(f1,axiom,(
% 1.10/0.72 (![X,Y]: (( ~ is_a_theorem(implies(X,Y))| ~ is_a_theorem(X)| is_a_theorem(Y) ) ))),
% 1.10/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.10/0.72 fof(f2,axiom,(
% 1.10/0.72 (![X,Y,Z]: (is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z)))) ))),
% 1.10/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.10/0.72 fof(f3,axiom,(
% 1.10/0.72 (![X]: (is_a_theorem(implies(implies(not(X),X),X)) ))),
% 1.10/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.10/0.72 fof(f4,axiom,(
% 1.10/0.72 (![X,Y]: (is_a_theorem(implies(X,implies(not(X),Y))) ))),
% 1.10/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.10/0.72 fof(f5,negated_conjecture,(
% 1.10/0.72 ~ is_a_theorem(implies(implies(not(x),y),implies(z,implies(implies(y,x),x)))) ),
% 1.10/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.10/0.72 fof(f6,plain,(
% 1.10/0.72 ![Y]: ((![X]: (~is_a_theorem(implies(X,Y))|~is_a_theorem(X)))|is_a_theorem(Y))),
% 1.10/0.72 inference(miniscoping,[status(thm)],[f1])).
% 1.10/0.72 fof(f7,plain,(
% 1.10/0.72 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(X0)|is_a_theorem(X1))),
% 1.10/0.72 inference(cnf_transformation,[status(thm)],[f6])).
% 1.10/0.72 fof(f8,plain,(
% 1.10/0.72 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))))),
% 1.10/0.72 inference(cnf_transformation,[status(thm)],[f2])).
% 1.10/0.72 fof(f9,plain,(
% 1.10/0.72 ![X0]: (is_a_theorem(implies(implies(not(X0),X0),X0)))),
% 1.10/0.72 inference(cnf_transformation,[status(thm)],[f3])).
% 1.10/0.72 fof(f10,plain,(
% 1.10/0.72 ![X0,X1]: (is_a_theorem(implies(X0,implies(not(X0),X1))))),
% 1.10/0.72 inference(cnf_transformation,[status(thm)],[f4])).
% 1.10/0.72 fof(f11,plain,(
% 1.10/0.72 ~is_a_theorem(implies(implies(not(x),y),implies(z,implies(implies(y,x),x))))),
% 1.10/0.72 inference(cnf_transformation,[status(thm)],[f5])).
% 1.10/0.72 fof(f13,plain,(
% 1.10/0.72 ![X0,X1]: (~is_a_theorem(X0)|is_a_theorem(implies(not(X0),X1)))),
% 1.10/0.72 inference(resolution,[status(thm)],[f10,f7])).
% 1.10/0.72 fof(f23,plain,(
% 1.10/0.72 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|is_a_theorem(implies(implies(X1,X2),implies(X0,X2))))),
% 1.10/0.72 inference(resolution,[status(thm)],[f8,f7])).
% 1.10/0.72 fof(f24,plain,(
% 1.10/0.72 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(implies(X1,X2))|is_a_theorem(implies(X0,X2)))),
% 1.10/0.72 inference(resolution,[status(thm)],[f23,f7])).
% 1.10/0.72 fof(f26,plain,(
% 1.10/0.72 ![X0]: (~is_a_theorem(implies(implies(not(x),y),X0))|~is_a_theorem(implies(X0,implies(z,implies(implies(y,x),x)))))),
% 1.10/0.72 inference(resolution,[status(thm)],[f24,f11])).
% 1.10/0.72 fof(f57,definition,(
% 1.10/0.72 ![X1]: (sQ3_spl <=> (~is_a_theorem(X1)))),
% 1.10/0.72 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 1.10/0.72 fof(f58,plain,(
% 1.10/0.72 ![X0]: (~is_a_theorem(X0)|~sQ3_spl)),
% 1.10/0.72 inference(component_clause,[status(thm)],[f57])).
% 1.10/0.72 fof(f80,plain,(
% 1.10/0.72 ![X0,X1,X2]: (~is_a_theorem(implies(X0,not(X1)))|is_a_theorem(implies(X0,X2))|~is_a_theorem(X1))),
% 1.10/0.72 inference(resolution,[status(thm)],[f24,f13])).
% 1.10/0.72 fof(f81,plain,(
% 1.10/0.72 ![X0,X1]: (~is_a_theorem(implies(X0,implies(not(X1),X1)))|is_a_theorem(implies(X0,X1)))),
% 1.10/0.72 inference(resolution,[status(thm)],[f24,f9])).
% 1.10/0.72 fof(f82,plain,(
% 1.10/0.72 ![X0,X1,X2,X3]: (~is_a_theorem(implies(X0,implies(X1,X2)))|is_a_theorem(implies(X0,implies(implies(X2,X3),implies(X1,X3)))))),
% 1.10/0.72 inference(resolution,[status(thm)],[f24,f8])).
% 1.10/0.72 fof(f83,plain,(
% 1.10/0.72 ![X0,X1,X2,X3]: (~is_a_theorem(implies(X0,implies(X1,X2)))|is_a_theorem(implies(X0,implies(X3,X2)))|~is_a_theorem(implies(X3,X1)))),
% 1.10/0.72 inference(resolution,[status(thm)],[f24,f23])).
% 1.10/0.72 fof(f101,plain,(
% 1.10/0.72 ![X0,X1,X2]: (is_a_theorem(implies(not(X0),X1))|~is_a_theorem(X2)|~is_a_theorem(X0))),
% 1.10/0.72 inference(resolution,[status(thm)],[f80,f13])).
% 1.10/0.72 fof(f107,definition,(
% 1.10/0.72 ![X0,X1]: (sQ7_spl <=> (is_a_theorem(implies(not(X0),X1))|~is_a_theorem(X0)))),
% 1.10/0.72 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 1.10/0.72 fof(f108,plain,(
% 1.10/0.72 ![X0,X1]: (is_a_theorem(implies(not(X0),X1))|~is_a_theorem(X0)|~sQ7_spl)),
% 1.10/0.72 inference(component_clause,[status(thm)],[f107])).
% 1.10/0.72 fof(f110,plain,(
% 1.10/0.72 sQ7_spl|sQ3_spl),
% 1.10/0.72 inference(split_clause,[status(thm)],[f101,f107,f57])).
% 1.10/0.72 fof(f111,plain,(
% 1.10/0.72 $false|~sQ3_spl),
% 1.10/0.72 inference(backward_subsumption_resolution,[status(thm)],[f9,f58])).
% 1.10/0.74 fof(f114,plain,(
% 1.10/0.74 ~sQ3_spl),
% 1.10/0.74 inference(contradiction_clause,[status(thm)],[f111])).
% 1.10/0.74 fof(f125,plain,(
% 1.10/0.74 ![X0]: (~is_a_theorem(implies(implies(not(x),y),implies(X0,implies(implies(y,x),x))))|~is_a_theorem(implies(z,X0)))),
% 1.10/0.74 inference(resolution,[status(thm)],[f26,f23])).
% 1.10/0.74 fof(f158,plain,(
% 1.10/0.74 ![X0]: (is_a_theorem(implies(X0,X0)))),
% 1.10/0.74 inference(resolution,[status(thm)],[f81,f10])).
% 1.10/0.74 fof(f166,plain,(
% 1.10/0.74 ![X0,X1,X2]: (~is_a_theorem(implies(X0,implies(X1,X2)))|is_a_theorem(implies(X0,implies(implies(not(X1),X1),X2))))),
% 1.10/0.74 inference(resolution,[status(thm)],[f83,f9])).
% 1.10/0.74 fof(f170,plain,(
% 1.10/0.74 ![X0,X1,X2,X3]: (~is_a_theorem(implies(X0,implies(implies(not(X1),X2),X3)))|is_a_theorem(implies(X0,implies(X1,X3))))),
% 1.10/0.74 inference(resolution,[status(thm)],[f83,f10])).
% 1.10/0.74 fof(f185,plain,(
% 1.10/0.74 ![X0,X1]: (is_a_theorem(implies(not(implies(X0,X0)),X1))|~sQ7_spl)),
% 1.10/0.74 inference(resolution,[status(thm)],[f158,f108])).
% 1.10/0.74 fof(f543,plain,(
% 1.10/0.74 ![X0]: (~is_a_theorem(implies(z,implies(X0,x)))|~is_a_theorem(implies(implies(not(x),y),implies(implies(y,x),X0))))),
% 1.10/0.74 inference(resolution,[status(thm)],[f125,f82])).
% 1.10/0.74 fof(f895,plain,(
% 1.10/0.74 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,not(X1)),implies(X1,implies(X0,X2)))))),
% 1.10/0.74 inference(resolution,[status(thm)],[f170,f8])).
% 1.10/0.74 fof(f960,plain,(
% 1.10/0.74 ![X0,X1,X2]: (~is_a_theorem(implies(X0,not(X1)))|is_a_theorem(implies(X1,implies(X0,X2))))),
% 1.10/0.74 inference(resolution,[status(thm)],[f895,f7])).
% 1.10/0.74 fof(f993,plain,(
% 1.10/0.74 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(not(implies(X1,X1)),X2)))|~sQ7_spl)),
% 1.10/0.74 inference(resolution,[status(thm)],[f960,f185])).
% 1.10/0.74 fof(f1011,plain,(
% 1.10/0.74 ![X0,X1]: (is_a_theorem(implies(X0,implies(X1,X1)))|~sQ7_spl)),
% 1.10/0.74 inference(resolution,[status(thm)],[f993,f81])).
% 1.10/0.74 fof(f1098,plain,(
% 1.10/0.74 ![X0,X1]: (is_a_theorem(implies(X0,implies(implies(not(X1),X1),X1)))|~sQ7_spl)),
% 1.10/0.74 inference(resolution,[status(thm)],[f1011,f166])).
% 1.10/0.74 fof(f1319,plain,(
% 1.10/0.74 ~is_a_theorem(implies(implies(not(x),y),implies(implies(y,x),implies(not(x),x))))|~sQ7_spl),
% 1.10/0.74 inference(resolution,[status(thm)],[f1098,f543])).
% 1.10/0.74 fof(f1345,plain,(
% 1.10/0.74 $false|~sQ7_spl),
% 1.10/0.74 inference(forward_subsumption_resolution,[status(thm)],[f1319,f8])).
% 1.10/0.74 fof(f1346,plain,(
% 1.10/0.74 ~sQ7_spl),
% 1.10/0.74 inference(contradiction_clause,[status(thm)],[f1345])).
% 1.10/0.74 fof(f1347,plain,(
% 1.10/0.74 $false),
% 1.10/0.74 inference(sat_refutation,[status(thm)],[f110,f114,f1346])).
% 1.10/0.74 % SZS output end CNFRefutation for theBenchmark.p
% 1.80/0.77 % Elapsed time: 0.376733 seconds
% 1.80/0.77 % CPU time: 2.601188 seconds
% 1.80/0.77 % Total memory used: 95.688 MB
% 1.80/0.77 % Net memory used: 89.939 MB
%------------------------------------------------------------------------------