%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL257-1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n014.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 01:09:44 PM UTC 2026
% Result : Unsatisfiable 0.23s 10.62s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LCL257-1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.07 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/10.50 % Computer : n014.cluster.edu
% 0.21/10.50 % Model : x86_64 x86_64
% 0.21/10.50 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.21/10.50 % Memory : 8046.5625MB
% 0.21/10.50 % OS : Linux 6.8.0-71-generic
% 0.21/10.50 % CPULimit : 300
% 0.21/10.50 % WCLimit : 300
% 0.21/10.50 % DateTime : Mon Sep 21 00:16:30 UTC 2026
% 0.21/10.50 % CPUTime :
% 0.21/10.52 % Drodi V4.1.1
% 0.23/10.62 % Refutation found
% 0.23/10.62 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.23/10.62 % SZS output start CNFRefutation for theBenchmark
% 0.23/10.62 fof(f1,axiom,(
% 0.23/10.62 (![X,Y]: (( ~ is_a_theorem(equivalent(X,Y))| ~ is_a_theorem(X)| is_a_theorem(Y) ) ))),
% 0.23/10.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.23/10.62 fof(f2,axiom,(
% 0.23/10.62 (![X,Y,Z]: (is_a_theorem(equivalent(equivalent(X,Y),equivalent(equivalent(Z,Y),equivalent(X,Z)))) ))),
% 0.23/10.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.23/10.62 fof(f3,negated_conjecture,(
% 0.23/10.62 ~ is_a_theorem(equivalent(x,equivalent(equivalent(y,z),equivalent(equivalent(z,x),y)))) ),
% 0.23/10.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.23/10.62 fof(f4,plain,(
% 0.23/10.62 ![Y]: ((![X]: (~is_a_theorem(equivalent(X,Y))|~is_a_theorem(X)))|is_a_theorem(Y))),
% 0.23/10.62 inference(miniscoping,[status(thm)],[f1])).
% 0.23/10.62 fof(f5,plain,(
% 0.23/10.62 ![X0,X1]: (~is_a_theorem(equivalent(X0,X1))|~is_a_theorem(X0)|is_a_theorem(X1))),
% 0.23/10.62 inference(cnf_transformation,[status(thm)],[f4])).
% 0.23/10.62 fof(f6,plain,(
% 0.23/10.62 ![X0,X1,X2]: (is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X2,X1),equivalent(X0,X2)))))),
% 0.23/10.62 inference(cnf_transformation,[status(thm)],[f2])).
% 0.23/10.62 fof(f7,plain,(
% 0.23/10.62 ~is_a_theorem(equivalent(x,equivalent(equivalent(y,z),equivalent(equivalent(z,x),y))))),
% 0.23/10.62 inference(cnf_transformation,[status(thm)],[f3])).
% 0.23/10.62 fof(f8,plain,(
% 0.23/10.62 ![X0,X1,X2]: (~is_a_theorem(equivalent(X0,X1))|is_a_theorem(equivalent(equivalent(X2,X1),equivalent(X0,X2))))),
% 0.23/10.62 inference(resolution,[status(thm)],[f6,f5])).
% 0.23/10.62 fof(f9,plain,(
% 0.23/10.62 ![X0,X1,X2,X3]: (is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(X1,X2),equivalent(X3,X1))),equivalent(equivalent(X3,X2),X0))))),
% 0.23/10.62 inference(resolution,[status(thm)],[f8,f6])).
% 0.23/10.62 fof(f10,plain,(
% 0.23/10.62 ![X0,X1,X2,X3,X4]: (is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(X1,X2),X3)),equivalent(equivalent(X3,equivalent(equivalent(X4,X2),equivalent(X1,X4))),X0))))),
% 0.23/10.62 inference(resolution,[status(thm)],[f9,f8])).
% 0.23/10.62 fof(f11,plain,(
% 0.23/10.62 ![X0,X1,X2,X3]: (~is_a_theorem(equivalent(X0,equivalent(equivalent(X1,X2),equivalent(X3,X1))))|is_a_theorem(equivalent(equivalent(X3,X2),X0)))),
% 0.23/10.62 inference(resolution,[status(thm)],[f9,f5])).
% 0.23/10.62 fof(f12,plain,(
% 0.23/10.62 ![X0,X1,X2,X3]: (is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X0,X2),equivalent(equivalent(X3,X1),equivalent(X2,X3))))))),
% 0.23/10.62 inference(resolution,[status(thm)],[f11,f9])).
% 0.23/10.62 fof(f13,plain,(
% 0.23/10.62 ![X0,X1]: (is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X0,X1))))),
% 0.23/10.62 inference(resolution,[status(thm)],[f11,f6])).
% 0.23/10.62 fof(f15,plain,(
% 0.23/10.62 ![X0,X1,X2]: (is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(equivalent(X1,X2),X0))))),
% 0.23/10.62 inference(resolution,[status(thm)],[f13,f8])).
% 0.23/10.62 fof(f17,plain,(
% 0.23/10.62 ![X0,X1,X2,X3,X4]: (is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(X1,X2),equivalent(X3,X1))),equivalent(equivalent(X0,X4),equivalent(equivalent(X3,X2),X4)))))),
% 0.23/10.62 inference(resolution,[status(thm)],[f10,f11])).
% 0.23/10.62 fof(f20,plain,(
% 0.23/10.62 ![X0,X1,X2]: (is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(equivalent(X2,X0),X1))))),
% 0.23/10.62 inference(resolution,[status(thm)],[f12,f11])).
% 0.23/10.62 fof(f23,plain,(
% 0.23/10.62 ![X0,X1,X2]: (is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X0,X2),equivalent(X2,X1)))))),
% 0.23/10.62 inference(resolution,[status(thm)],[f15,f11])).
% 0.23/10.62 fof(f29,plain,(
% 0.23/10.62 ![X0,X1]: (is_a_theorem(equivalent(equivalent(X0,X0),equivalent(X1,X1))))),
% 0.23/10.62 inference(resolution,[status(thm)],[f23,f11])).
% 0.23/10.62 fof(f34,plain,(
% 0.23/10.62 ![X0,X1]: (~is_a_theorem(equivalent(X0,X0))|is_a_theorem(equivalent(X1,X1)))),
% 0.23/10.62 inference(resolution,[status(thm)],[f29,f5])).
% 0.23/10.62 fof(f35,definition,(
% 0.23/10.62 ![X0]: (sQ0_spl <=> (~is_a_theorem(equivalent(X0,X0))))),
% 0.23/10.62 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.23/10.62 fof(f36,plain,(
% 0.23/10.62 ![X0]: (~is_a_theorem(equivalent(X0,X0))|~sQ0_spl)),
% 0.23/10.62 inference(component_clause,[status(thm)],[f35])).
% 0.23/10.62 fof(f38,definition,(
% 0.23/10.62 ![X1]: (sQ1_spl <=> (is_a_theorem(equivalent(X1,X1))))),
% 0.23/10.62 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.23/10.62 fof(f39,plain,(
% 0.23/10.62 ![X0]: (is_a_theorem(equivalent(X0,X0))|~sQ1_spl)),
% 0.23/10.62 inference(component_clause,[status(thm)],[f38])).
% 0.23/10.63 fof(f41,plain,(
% 0.23/10.63 sQ0_spl|sQ1_spl),
% 0.23/10.63 inference(split_clause,[status(thm)],[f34,f35,f38])).
% 0.23/10.63 fof(f42,plain,(
% 0.23/10.63 $false|~sQ0_spl),
% 0.23/10.63 inference(backward_subsumption_resolution,[status(thm)],[f13,f36])).
% 0.23/10.63 fof(f46,plain,(
% 0.23/10.63 ~sQ0_spl),
% 0.23/10.63 inference(contradiction_clause,[status(thm)],[f42])).
% 0.23/10.63 fof(f48,plain,(
% 0.23/10.63 ![X0,X1]: (is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X1,X0)))|~sQ1_spl)),
% 0.23/10.63 inference(resolution,[status(thm)],[f39,f8])).
% 0.23/10.63 fof(f50,plain,(
% 0.23/10.63 ![X0,X1,X2,X3]: (is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(X2,equivalent(equivalent(X3,X1),equivalent(X0,X3))))))),
% 0.23/10.63 inference(resolution,[status(thm)],[f17,f11])).
% 0.23/10.63 fof(f61,plain,(
% 0.23/10.63 ![X0,X1]: (~is_a_theorem(equivalent(X0,X1))|is_a_theorem(equivalent(X1,X0))|~sQ1_spl)),
% 0.23/10.63 inference(resolution,[status(thm)],[f48,f5])).
% 0.23/10.63 fof(f68,plain,(
% 0.23/10.63 ![X0,X1]: (~is_a_theorem(equivalent(X0,X1))|~is_a_theorem(X1)|is_a_theorem(X0)|~sQ1_spl)),
% 0.23/10.63 inference(resolution,[status(thm)],[f61,f5])).
% 0.23/10.63 fof(f69,plain,(
% 0.23/10.63 ![X0,X1,X2]: (~is_a_theorem(equivalent(equivalent(X0,X1),X2))|is_a_theorem(equivalent(equivalent(X1,X2),X0))|~sQ1_spl)),
% 0.23/10.63 inference(resolution,[status(thm)],[f68,f20])).
% 0.23/10.63 fof(f77,plain,(
% 0.23/10.63 ![X0,X1,X2]: (~is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X1,X2)))|is_a_theorem(equivalent(X0,X2))|~sQ1_spl)),
% 0.23/10.63 inference(resolution,[status(thm)],[f68,f23])).
% 0.23/10.63 fof(f95,plain,(
% 0.23/10.63 ![X0,X1,X2,X3]: (~is_a_theorem(equivalent(equivalent(X0,X1),X2))|is_a_theorem(equivalent(X2,equivalent(equivalent(X3,X1),equivalent(X0,X3)))))),
% 0.23/10.63 inference(resolution,[status(thm)],[f50,f5])).
% 0.23/10.63 fof(f149,plain,(
% 0.23/10.63 ![X0,X1]: (is_a_theorem(equivalent(X0,equivalent(X1,equivalent(X0,X1))))|~sQ1_spl)),
% 0.23/10.63 inference(resolution,[status(thm)],[f77,f23])).
% 0.23/10.63 fof(f161,plain,(
% 0.23/10.63 ![X0,X1]: (~is_a_theorem(equivalent(X0,equivalent(X1,X0)))|is_a_theorem(X1)|~sQ1_spl)),
% 0.23/10.63 inference(resolution,[status(thm)],[f149,f68])).
% 0.23/10.63 fof(f173,plain,(
% 0.23/10.63 ![X0,X1]: (is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X0)),X1))|~sQ1_spl)),
% 0.23/10.63 inference(resolution,[status(thm)],[f161,f12])).
% 0.23/10.63 fof(f586,plain,(
% 0.23/10.63 ~is_a_theorem(equivalent(equivalent(equivalent(z,x),z),x))),
% 0.23/10.63 inference(resolution,[status(thm)],[f95,f7])).
% 0.23/10.63 fof(f604,plain,(
% 0.23/10.63 ~is_a_theorem(equivalent(equivalent(x,equivalent(z,x)),z))|~sQ1_spl),
% 0.23/10.63 inference(resolution,[status(thm)],[f586,f69])).
% 0.23/10.63 fof(f608,plain,(
% 0.23/10.63 $false|~sQ1_spl),
% 0.23/10.63 inference(forward_subsumption_resolution,[status(thm)],[f604,f173])).
% 0.23/10.63 fof(f609,plain,(
% 0.23/10.63 ~sQ1_spl),
% 0.23/10.63 inference(contradiction_clause,[status(thm)],[f608])).
% 0.23/10.63 fof(f610,plain,(
% 0.23/10.63 $false),
% 0.23/10.63 inference(sat_refutation,[status(thm)],[f41,f46,f609])).
% 0.23/10.63 % SZS output end CNFRefutation for theBenchmark.p
% 0.23/10.66 % Elapsed time: 0.142943 seconds
% 0.23/10.66 % CPU time: 0.719630 seconds
% 0.23/10.66 % Total memory used: 60.545 MB
% 0.23/10.66 % Net memory used: 59.229 MB
%------------------------------------------------------------------------------