%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL042-1 : 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 : n015.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 01:09:15 PM UTC 2026
% Result : Unsatisfiable 192.95s 24.90s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL042-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.37 % Computer : n015.cluster.edu
% 0.08/0.37 % Model : x86_64 x86_64
% 0.08/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.37 % Memory : 8046.5625MB
% 0.08/0.37 % OS : Linux 6.8.0-71-generic
% 0.08/0.37 % CPULimit : 300
% 0.08/0.37 % WCLimit : 300
% 0.08/0.37 % DateTime : Mon Sep 21 00:05:07 UTC 2026
% 0.08/0.37 % CPUTime :
% 0.08/0.38 % Drodi V4.1.1
% 192.95/24.90 % Refutation found
% 192.95/24.90 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 192.95/24.90 % SZS output start CNFRefutation for theBenchmark
% 192.95/24.90 fof(f1,axiom,(
% 192.95/24.90 (![X,Y]: (( ~ is_a_theorem(implies(X,Y))| ~ is_a_theorem(X)| is_a_theorem(Y) ) ))),
% 192.95/24.90 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 192.95/24.90 fof(f2,axiom,(
% 192.95/24.90 (![X,Y]: (is_a_theorem(implies(X,implies(not(X),Y))) ))),
% 192.95/24.90 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 192.95/24.90 fof(f3,axiom,(
% 192.95/24.90 (![X,Y]: (is_a_theorem(implies(X,implies(Y,X))) ))),
% 192.95/24.90 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 192.95/24.90 fof(f4,axiom,(
% 192.95/24.90 (![X,Y,Z]: (is_a_theorem(implies(implies(X,implies(Y,Z)),implies(Y,implies(X,Z)))) ))),
% 192.95/24.90 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 192.95/24.90 fof(f5,axiom,(
% 192.95/24.90 (![Y,Z,X]: (is_a_theorem(implies(implies(Y,Z),implies(implies(X,Y),implies(X,Z)))) ))),
% 192.95/24.90 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 192.95/24.90 fof(f6,axiom,(
% 192.95/24.90 (![X,Y]: (is_a_theorem(implies(implies(X,Y),implies(implies(not(X),Y),Y))) ))),
% 192.95/24.90 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 192.95/24.90 fof(f7,negated_conjecture,(
% 192.95/24.90 ~ is_a_theorem(implies(implies(a,implies(b,c)),implies(implies(a,b),implies(a,c)))) ),
% 192.95/24.90 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 192.95/24.90 fof(f8,plain,(
% 192.95/24.90 ![Y]: ((![X]: (~is_a_theorem(implies(X,Y))|~is_a_theorem(X)))|is_a_theorem(Y))),
% 192.95/24.90 inference(miniscoping,[status(thm)],[f1])).
% 192.95/24.90 fof(f9,plain,(
% 192.95/24.90 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(X0)|is_a_theorem(X1))),
% 192.95/24.90 inference(cnf_transformation,[status(thm)],[f8])).
% 192.95/24.90 fof(f10,plain,(
% 192.95/24.90 ![X0,X1]: (is_a_theorem(implies(X0,implies(not(X0),X1))))),
% 192.95/24.90 inference(cnf_transformation,[status(thm)],[f2])).
% 192.95/24.90 fof(f11,plain,(
% 192.95/24.90 ![X0,X1]: (is_a_theorem(implies(X0,implies(X1,X0))))),
% 192.95/24.90 inference(cnf_transformation,[status(thm)],[f3])).
% 192.95/24.90 fof(f12,plain,(
% 192.95/24.90 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(X1,implies(X0,X2)))))),
% 192.95/24.90 inference(cnf_transformation,[status(thm)],[f4])).
% 192.95/24.90 fof(f13,plain,(
% 192.95/24.90 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,X1),implies(implies(X2,X0),implies(X2,X1)))))),
% 192.95/24.90 inference(cnf_transformation,[status(thm)],[f5])).
% 192.95/24.90 fof(f14,plain,(
% 192.95/24.90 ![X0,X1]: (is_a_theorem(implies(implies(X0,X1),implies(implies(not(X0),X1),X1))))),
% 192.95/24.90 inference(cnf_transformation,[status(thm)],[f6])).
% 192.95/24.90 fof(f15,plain,(
% 192.95/24.90 ~is_a_theorem(implies(implies(a,implies(b,c)),implies(implies(a,b),implies(a,c))))),
% 192.95/24.90 inference(cnf_transformation,[status(thm)],[f7])).
% 192.95/24.90 fof(f22,definition,(
% 192.95/24.90 ![X1]: (sQ1_spl <=> (~is_a_theorem(X1)))),
% 192.95/24.90 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 192.95/24.90 fof(f23,plain,(
% 192.95/24.90 ![X0]: (~is_a_theorem(X0)|~sQ1_spl)),
% 192.95/24.90 inference(component_clause,[status(thm)],[f22])).
% 192.95/24.90 fof(f26,plain,(
% 192.95/24.90 ![X0,X1,X2]: (~is_a_theorem(implies(X0,implies(X1,X2)))|is_a_theorem(implies(X1,implies(X0,X2))))),
% 192.95/24.90 inference(resolution,[status(thm)],[f12,f9])).
% 192.95/24.90 fof(f37,plain,(
% 192.95/24.90 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|is_a_theorem(implies(implies(X2,X0),implies(X2,X1))))),
% 192.95/24.90 inference(resolution,[status(thm)],[f13,f9])).
% 192.95/24.90 fof(f43,plain,(
% 192.95/24.90 ![X0,X1,X2]: (~is_a_theorem(implies(X0,implies(X1,X2)))|~is_a_theorem(X1)|is_a_theorem(implies(X0,X2)))),
% 192.95/24.90 inference(resolution,[status(thm)],[f26,f9])).
% 192.95/24.90 fof(f44,plain,(
% 192.95/24.90 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(implies(X2,X0))|is_a_theorem(implies(X2,X1)))),
% 192.95/24.90 inference(resolution,[status(thm)],[f37,f9])).
% 192.95/24.90 fof(f48,plain,(
% 192.95/24.90 ![X0,X1]: (~is_a_theorem(implies(not(X0),X1))|is_a_theorem(implies(implies(X0,X1),X1)))),
% 192.95/24.90 inference(resolution,[status(thm)],[f43,f14])).
% 192.95/24.90 fof(f49,plain,(
% 192.95/24.90 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|is_a_theorem(implies(implies(X1,X2),implies(X0,X2))))),
% 192.95/24.90 inference(resolution,[status(thm)],[f43,f13])).
% 192.95/24.90 fof(f53,plain,(
% 192.95/24.90 ![X0,X1]: (~is_a_theorem(X0)|is_a_theorem(implies(X1,X1)))),
% 192.95/24.90 inference(resolution,[status(thm)],[f43,f11])).
% 192.95/24.90 fof(f59,definition,(
% 192.95/24.90 ![X1]: (sQ5_spl <=> (is_a_theorem(implies(X1,X1))))),
% 192.95/24.90 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 192.95/24.90 fof(f60,plain,(
% 192.95/24.90 ![X0]: (is_a_theorem(implies(X0,X0))|~sQ5_spl)),
% 192.95/24.90 inference(component_clause,[status(thm)],[f59])).
% 171.57/24.95 fof(f62,plain,(
% 171.57/24.95 sQ1_spl|sQ5_spl),
% 171.57/24.95 inference(split_clause,[status(thm)],[f53,f22,f59])).
% 171.57/24.95 fof(f65,plain,(
% 171.57/24.95 $false|~sQ1_spl),
% 171.57/24.95 inference(backward_subsumption_resolution,[status(thm)],[f12,f23])).
% 171.57/24.95 fof(f70,plain,(
% 171.57/24.95 ~sQ1_spl),
% 171.57/24.95 inference(contradiction_clause,[status(thm)],[f65])).
% 171.57/24.95 fof(f218,plain,(
% 171.57/24.95 ![X0,X1,X2,X3]: (~is_a_theorem(implies(implies(X0,implies(X1,X2)),X3))|is_a_theorem(implies(implies(X1,implies(X0,X2)),X3)))),
% 171.57/24.95 inference(resolution,[status(thm)],[f44,f12])).
% 171.57/24.95 fof(f220,plain,(
% 171.57/24.95 ![X0,X1,X2,X3]: (~is_a_theorem(implies(implies(implies(X0,X1),implies(X0,X2)),X3))|is_a_theorem(implies(implies(X1,X2),X3)))),
% 171.57/24.95 inference(resolution,[status(thm)],[f44,f13])).
% 171.57/24.95 fof(f224,plain,(
% 171.57/24.95 ![X0,X1,X2]: (~is_a_theorem(implies(implies(not(X0),X1),X2))|is_a_theorem(implies(X0,X2)))),
% 171.57/24.95 inference(resolution,[status(thm)],[f44,f10])).
% 171.57/24.95 fof(f1113,plain,(
% 171.57/24.95 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(X1,X2)))|~is_a_theorem(implies(X1,not(X0))))),
% 171.57/24.95 inference(resolution,[status(thm)],[f224,f49])).
% 171.57/24.95 fof(f1119,plain,(
% 171.57/24.95 ![X0,X1]: (is_a_theorem(implies(X0,X1))|~is_a_theorem(implies(not(not(X0)),X1)))),
% 171.57/24.95 inference(resolution,[status(thm)],[f224,f48])).
% 171.57/24.95 fof(f1401,plain,(
% 171.57/24.95 ![X0]: (is_a_theorem(implies(X0,not(not(X0))))|~sQ5_spl)),
% 171.57/24.95 inference(resolution,[status(thm)],[f1119,f60])).
% 171.57/24.95 fof(f2692,plain,(
% 171.57/24.95 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(X0,X1),implies(implies(X2,X0),X3)))|~is_a_theorem(implies(implies(X2,X1),X3)))),
% 171.57/24.95 inference(resolution,[status(thm)],[f220,f37])).
% 171.57/24.95 fof(f3355,plain,(
% 171.57/24.95 ~is_a_theorem(implies(implies(b,implies(a,c)),implies(implies(a,b),implies(a,c))))),
% 171.57/24.95 inference(resolution,[status(thm)],[f218,f15])).
% 171.57/24.95 fof(f14594,plain,(
% 171.57/24.95 ![X0,X1]: (is_a_theorem(implies(not(X0),implies(X0,X1)))|~sQ5_spl)),
% 171.57/24.95 inference(resolution,[status(thm)],[f1113,f1401])).
% 171.57/24.95 fof(f18731,plain,(
% 171.57/24.95 ![X0,X1]: (is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X0,X1)))|~sQ5_spl)),
% 171.57/24.95 inference(resolution,[status(thm)],[f48,f14594])).
% 171.57/24.95 fof(f25724,plain,(
% 171.57/24.95 ~is_a_theorem(implies(implies(a,implies(a,c)),implies(a,c)))),
% 171.57/24.95 inference(resolution,[status(thm)],[f3355,f2692])).
% 171.57/24.95 fof(f25736,plain,(
% 171.57/24.95 $false|~sQ5_spl),
% 171.57/24.95 inference(forward_subsumption_resolution,[status(thm)],[f25724,f18731])).
% 171.57/24.95 fof(f25737,plain,(
% 171.57/24.95 ~sQ5_spl),
% 171.57/24.95 inference(contradiction_clause,[status(thm)],[f25736])).
% 171.57/24.95 fof(f25738,plain,(
% 171.57/24.95 $false),
% 171.57/24.95 inference(sat_refutation,[status(thm)],[f62,f70,f25737])).
% 171.57/24.95 % SZS output end CNFRefutation for theBenchmark.p
% 30.92/25.06 % Elapsed time: 24.653212 seconds
% 30.92/25.06 % CPU time: 194.473668 seconds
% 30.92/25.06 % Total memory used: 986.211 MB
% 30.92/25.06 % Net memory used: 810.362 MB
%------------------------------------------------------------------------------