%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : MSC005-1 : 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 : 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 01:28:21 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.36s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MSC005-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.34 % Computer : n004.cluster.edu
% 0.10/0.34 % Model : x86_64 x86_64
% 0.10/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.34 % Memory : 8046.5625MB
% 0.10/0.34 % OS : Linux 6.8.0-71-generic
% 0.10/0.34 % CPULimit : 300
% 0.10/0.34 % WCLimit : 300
% 0.10/0.34 % DateTime : Mon Sep 21 01:27:06 UTC 2026
% 0.10/0.34 % CPUTime :
% 0.10/0.35 % Drodi V4.1.1
% 0.14/0.36 % Refutation found
% 0.14/0.36 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.36 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.36 fof(f1,axiom,(
% 0.14/0.36 value(truth,truth) ),
% 0.14/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.36 fof(f2,axiom,(
% 0.14/0.36 value(falsity,falsity) ),
% 0.14/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.36 fof(f3,axiom,(
% 0.14/0.36 (![X,Y]: (( ~ value(X,truth)| ~ value(Y,truth)| value(xor(X,Y),falsity) ) ))),
% 0.14/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.36 fof(f4,axiom,(
% 0.14/0.36 (![X,Y]: (( ~ value(X,truth)| ~ value(Y,falsity)| value(xor(X,Y),truth) ) ))),
% 0.14/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.36 fof(f6,axiom,(
% 0.14/0.36 (![X,Y]: (( ~ value(X,falsity)| ~ value(Y,falsity)| value(xor(X,Y),falsity) ) ))),
% 0.14/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.36 fof(f7,negated_conjecture,(
% 0.14/0.36 (![Value]: (~ value(xor(xor(xor(xor(truth,falsity),falsity),truth),falsity),Value) ))),
% 0.14/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.36 fof(f8,plain,(
% 0.14/0.36 value(truth,truth)),
% 0.14/0.36 inference(cnf_transformation,[status(thm)],[f1])).
% 0.14/0.36 fof(f9,plain,(
% 0.14/0.36 value(falsity,falsity)),
% 0.14/0.36 inference(cnf_transformation,[status(thm)],[f2])).
% 0.14/0.36 fof(f10,plain,(
% 0.14/0.36 ![X0,X1]: (~value(X0,truth)|~value(X1,truth)|value(xor(X0,X1),falsity))),
% 0.14/0.36 inference(cnf_transformation,[status(thm)],[f3])).
% 0.14/0.36 fof(f11,plain,(
% 0.14/0.36 ![X0,X1]: (~value(X0,truth)|~value(X1,falsity)|value(xor(X0,X1),truth))),
% 0.14/0.36 inference(cnf_transformation,[status(thm)],[f4])).
% 0.14/0.36 fof(f13,plain,(
% 0.14/0.36 ![X0,X1]: (~value(X0,falsity)|~value(X1,falsity)|value(xor(X0,X1),falsity))),
% 0.14/0.36 inference(cnf_transformation,[status(thm)],[f6])).
% 0.14/0.36 fof(f14,plain,(
% 0.14/0.36 ![X0]: (~value(xor(xor(xor(xor(truth,falsity),falsity),truth),falsity),X0))),
% 0.14/0.36 inference(cnf_transformation,[status(thm)],[f7])).
% 0.14/0.36 fof(f17,plain,(
% 0.14/0.36 ~value(xor(xor(xor(truth,falsity),falsity),truth),falsity)|~value(falsity,falsity)),
% 0.14/0.36 inference(resolution,[status(thm)],[f14,f13])).
% 0.14/0.36 fof(f19,definition,(
% 0.14/0.36 sQ0_spl <=> (value(xor(xor(xor(truth,falsity),falsity),truth),falsity))),
% 0.14/0.36 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.14/0.36 fof(f21,plain,(
% 0.14/0.36 ~value(xor(xor(xor(truth,falsity),falsity),truth),falsity)|sQ0_spl),
% 0.14/0.36 inference(component_clause,[status(thm)],[f19])).
% 0.14/0.36 fof(f29,definition,(
% 0.14/0.36 sQ3_spl <=> (value(falsity,falsity))),
% 0.14/0.36 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.14/0.36 fof(f31,plain,(
% 0.14/0.36 ~value(falsity,falsity)|sQ3_spl),
% 0.14/0.36 inference(component_clause,[status(thm)],[f29])).
% 0.14/0.36 fof(f33,plain,(
% 0.14/0.36 ~sQ0_spl|~sQ3_spl),
% 0.14/0.36 inference(split_clause,[status(thm)],[f17,f19,f29])).
% 0.14/0.36 fof(f40,definition,(
% 0.14/0.36 sQ5_spl <=> (value(truth,truth))),
% 0.14/0.36 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.14/0.36 fof(f42,plain,(
% 0.14/0.36 ~value(truth,truth)|sQ5_spl),
% 0.14/0.36 inference(component_clause,[status(thm)],[f40])).
% 0.14/0.36 fof(f44,definition,(
% 0.14/0.36 sQ6_spl <=> (value(xor(xor(truth,falsity),falsity),truth))),
% 0.14/0.36 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.14/0.36 fof(f46,plain,(
% 0.14/0.36 ~value(xor(xor(truth,falsity),falsity),truth)|sQ6_spl),
% 0.14/0.36 inference(component_clause,[status(thm)],[f44])).
% 0.14/0.36 fof(f51,plain,(
% 0.14/0.36 $false|sQ3_spl),
% 0.14/0.36 inference(forward_subsumption_resolution,[status(thm)],[f31,f9])).
% 0.14/0.36 fof(f52,plain,(
% 0.14/0.36 sQ3_spl),
% 0.14/0.36 inference(contradiction_clause,[status(thm)],[f51])).
% 0.14/0.36 fof(f54,plain,(
% 0.14/0.36 ~value(xor(xor(truth,falsity),falsity),truth)|~value(truth,truth)|sQ0_spl),
% 0.14/0.36 inference(resolution,[status(thm)],[f21,f10])).
% 0.14/0.36 fof(f56,plain,(
% 0.14/0.36 ~sQ6_spl|~sQ5_spl|sQ0_spl),
% 0.14/0.36 inference(split_clause,[status(thm)],[f54,f44,f40,f19])).
% 0.14/0.36 fof(f58,plain,(
% 0.14/0.36 ~value(xor(truth,falsity),truth)|~value(falsity,falsity)|sQ6_spl),
% 0.14/0.36 inference(resolution,[status(thm)],[f46,f11])).
% 0.14/0.36 fof(f63,definition,(
% 0.14/0.36 sQ9_spl <=> (value(xor(truth,falsity),truth))),
% 0.14/0.36 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.14/0.36 fof(f65,plain,(
% 0.14/0.36 ~value(xor(truth,falsity),truth)|sQ9_spl),
% 0.14/0.36 inference(component_clause,[status(thm)],[f63])).
% 0.14/0.36 fof(f66,plain,(
% 0.14/0.36 ~sQ9_spl|~sQ3_spl|sQ6_spl),
% 0.14/0.36 inference(split_clause,[status(thm)],[f58,f63,f29,f44])).
% 0.14/0.36 fof(f67,plain,(
% 0.14/0.36 $false|sQ5_spl),
% 0.14/0.36 inference(forward_subsumption_resolution,[status(thm)],[f42,f8])).
% 0.14/0.36 fof(f68,plain,(
% 0.14/0.36 sQ5_spl),
% 0.14/0.36 inference(contradiction_clause,[status(thm)],[f67])).
% 0.14/0.36 fof(f74,plain,(
% 0.14/0.36 ~value(truth,truth)|~value(falsity,falsity)|sQ9_spl),
% 0.14/0.36 inference(resolution,[status(thm)],[f65,f11])).
% 0.14/0.36 fof(f76,plain,(
% 0.14/0.36 ~sQ5_spl|~sQ3_spl|sQ9_spl),
% 0.14/0.36 inference(split_clause,[status(thm)],[f74,f40,f29,f63])).
% 0.14/0.36 fof(f77,plain,(
% 0.14/0.36 $false),
% 0.14/0.36 inference(sat_refutation,[status(thm)],[f33,f52,f56,f66,f68,f76])).
% 0.14/0.36 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.38 % Elapsed time: 0.033246 seconds
% 0.14/0.38 % CPU time: 0.062846 seconds
% 0.14/0.38 % Total memory used: 5.270 MB
% 0.14/0.38 % Net memory used: 5.252 MB
%------------------------------------------------------------------------------