%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWV001-1 : 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 : n002.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 02:49:54 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV001-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.34 % Computer : n002.cluster.edu
% 0.09/0.34 % Model : x86_64 x86_64
% 0.09/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.34 % Memory : 8046.5625MB
% 0.09/0.34 % OS : Linux 6.8.0-71-generic
% 0.09/0.34 % CPULimit : 300
% 0.09/0.34 % WCLimit : 300
% 0.09/0.34 % DateTime : Mon Sep 21 08:29:16 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.35 % Drodi V4.1.1
% 0.13/0.38 % Refutation found
% 0.13/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.38 fof(f3,axiom,(
% 0.13/0.38 (![X,Y,Z]: (( ~ q1(X,Y,Z)| ~ less_or_equalish(X,Y)| q2(X,Y,Z) ) ))),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f4,axiom,(
% 0.13/0.38 (![X,Y,Z]: (( ~ q1(X,Y,Z)| less_or_equalish(X,Y)| q3(X,Y,Z) ) ))),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f5,axiom,(
% 0.13/0.38 (![X,Y,Z]: (( ~ q2(X,Y,Z)| q4(X,Y,Y) ) ))),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f6,axiom,(
% 0.13/0.38 (![X,Y,Z]: (( ~ q3(X,Y,Z)| q4(X,Y,X) ) ))),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f7,axiom,(
% 0.13/0.38 (![X]: (less_or_equalish(X,X) ))),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f10,axiom,(
% 0.13/0.38 (![X,Y]: (( less_or_equalish(X,Y)| less_or_equalish(Y,X) ) ))),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f12,negated_conjecture,(
% 0.13/0.38 q1(a,b,c) ),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f13,negated_conjecture,(
% 0.13/0.38 (![W]: (( ~ q4(a,b,W)| ~ less_or_equalish(a,W)| ~ less_or_equalish(b,W)| ~ less_or_equalish(W,a) ) ))),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f14,negated_conjecture,(
% 0.13/0.38 (![W]: (( ~ q4(a,b,W)| ~ less_or_equalish(a,W)| ~ less_or_equalish(b,W)| ~ less_or_equalish(W,b) ) ))),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f19,plain,(
% 0.13/0.38 ![X0,X1,X2]: (~q1(X0,X1,X2)|~less_or_equalish(X0,X1)|q2(X0,X1,X2))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f3])).
% 0.13/0.38 fof(f20,plain,(
% 0.13/0.38 ![X0,X1,X2]: (~q1(X0,X1,X2)|less_or_equalish(X0,X1)|q3(X0,X1,X2))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f4])).
% 0.13/0.38 fof(f21,plain,(
% 0.13/0.38 ![X,Y]: ((![Z]: ~q2(X,Y,Z))|q4(X,Y,Y))),
% 0.13/0.38 inference(miniscoping,[status(thm)],[f5])).
% 0.13/0.38 fof(f22,plain,(
% 0.13/0.38 ![X0,X1,X2]: (~q2(X0,X1,X2)|q4(X0,X1,X1))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f21])).
% 0.13/0.38 fof(f23,plain,(
% 0.13/0.38 ![X,Y]: ((![Z]: ~q3(X,Y,Z))|q4(X,Y,X))),
% 0.13/0.38 inference(miniscoping,[status(thm)],[f6])).
% 0.13/0.38 fof(f24,plain,(
% 0.13/0.38 ![X0,X1,X2]: (~q3(X0,X1,X2)|q4(X0,X1,X0))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f23])).
% 0.13/0.38 fof(f25,plain,(
% 0.13/0.38 ![X0]: (less_or_equalish(X0,X0))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f7])).
% 0.13/0.38 fof(f29,plain,(
% 0.13/0.38 ![X0,X1]: (less_or_equalish(X0,X1)|less_or_equalish(X1,X0))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f10])).
% 0.13/0.38 fof(f31,plain,(
% 0.13/0.38 q1(a,b,c)),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f12])).
% 0.13/0.38 fof(f32,plain,(
% 0.13/0.38 ![X0]: (~q4(a,b,X0)|~less_or_equalish(a,X0)|~less_or_equalish(b,X0)|~less_or_equalish(X0,a))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f13])).
% 0.13/0.38 fof(f33,plain,(
% 0.13/0.38 ![X0]: (~q4(a,b,X0)|~less_or_equalish(a,X0)|~less_or_equalish(b,X0)|~less_or_equalish(X0,b))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f14])).
% 0.13/0.38 fof(f34,plain,(
% 0.13/0.38 ![X0,X1,X2]: (q4(X0,X1,X1)|~q1(X0,X1,X2)|~less_or_equalish(X0,X1))),
% 0.13/0.38 inference(resolution,[status(thm)],[f22,f19])).
% 0.13/0.38 fof(f35,plain,(
% 0.13/0.38 ![X0,X1,X2]: (~q1(X0,X1,X2)|less_or_equalish(X0,X1)|q4(X0,X1,X0))),
% 0.13/0.38 inference(resolution,[status(thm)],[f20,f24])).
% 0.13/0.38 fof(f48,plain,(
% 0.13/0.38 q4(a,b,b)|~less_or_equalish(a,b)),
% 0.13/0.38 inference(resolution,[status(thm)],[f34,f31])).
% 0.13/0.38 fof(f49,definition,(
% 0.13/0.38 sQ0_spl <=> (q4(a,b,b))),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.13/0.38 fof(f50,plain,(
% 0.13/0.38 q4(a,b,b)|~sQ0_spl),
% 0.13/0.38 inference(component_clause,[status(thm)],[f49])).
% 0.13/0.38 fof(f52,definition,(
% 0.13/0.38 sQ1_spl <=> (less_or_equalish(a,b))),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.13/0.38 fof(f55,plain,(
% 0.13/0.38 sQ0_spl|~sQ1_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f48,f49,f52])).
% 0.13/0.38 fof(f56,plain,(
% 0.13/0.38 less_or_equalish(a,b)|q4(a,b,a)),
% 0.13/0.38 inference(resolution,[status(thm)],[f35,f31])).
% 0.13/0.38 fof(f57,definition,(
% 0.13/0.38 sQ2_spl <=> (q4(a,b,a))),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.13/0.38 fof(f58,plain,(
% 0.13/0.38 q4(a,b,a)|~sQ2_spl),
% 0.13/0.38 inference(component_clause,[status(thm)],[f57])).
% 0.13/0.38 fof(f60,plain,(
% 0.13/0.38 sQ1_spl|sQ2_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f56,f52,f57])).
% 0.13/0.38 fof(f61,plain,(
% 0.13/0.39 ~less_or_equalish(a,b)|~less_or_equalish(b,b)|~less_or_equalish(b,b)|~sQ0_spl),
% 0.13/0.39 inference(resolution,[status(thm)],[f50,f33])).
% 0.13/0.39 fof(f63,definition,(
% 0.13/0.39 sQ3_spl <=> (less_or_equalish(b,b))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f65,plain,(
% 0.13/0.39 ~less_or_equalish(b,b)|sQ3_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f63])).
% 0.13/0.39 fof(f66,plain,(
% 0.13/0.39 ~sQ1_spl|~sQ3_spl|~sQ0_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f61,f52,f63,f49])).
% 0.13/0.39 fof(f67,definition,(
% 0.13/0.39 sQ4_spl <=> (less_or_equalish(b,a))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f69,plain,(
% 0.13/0.39 ~less_or_equalish(b,a)|sQ4_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f67])).
% 0.13/0.39 fof(f71,plain,(
% 0.13/0.39 $false|sQ3_spl),
% 0.13/0.39 inference(forward_subsumption_resolution,[status(thm)],[f65,f25])).
% 0.13/0.39 fof(f72,plain,(
% 0.13/0.39 sQ3_spl),
% 0.13/0.39 inference(contradiction_clause,[status(thm)],[f71])).
% 0.13/0.39 fof(f74,plain,(
% 0.13/0.39 ~less_or_equalish(a,a)|~less_or_equalish(b,a)|~less_or_equalish(a,a)|~sQ2_spl),
% 0.13/0.39 inference(resolution,[status(thm)],[f58,f32])).
% 0.13/0.39 fof(f75,definition,(
% 0.13/0.39 sQ5_spl <=> (less_or_equalish(a,a))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f77,plain,(
% 0.13/0.39 ~less_or_equalish(a,a)|sQ5_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f75])).
% 0.13/0.39 fof(f79,plain,(
% 0.13/0.39 ~sQ5_spl|~sQ4_spl|~sQ2_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f74,f75,f67,f57])).
% 0.13/0.39 fof(f80,plain,(
% 0.13/0.39 $false|sQ5_spl),
% 0.13/0.39 inference(forward_subsumption_resolution,[status(thm)],[f77,f25])).
% 0.13/0.39 fof(f81,plain,(
% 0.13/0.39 sQ5_spl),
% 0.13/0.39 inference(contradiction_clause,[status(thm)],[f80])).
% 0.13/0.39 fof(f92,plain,(
% 0.13/0.39 less_or_equalish(a,b)|sQ4_spl),
% 0.13/0.39 inference(resolution,[status(thm)],[f69,f29])).
% 0.13/0.39 fof(f94,plain,(
% 0.13/0.39 sQ1_spl|sQ4_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f92,f52,f67])).
% 0.13/0.39 fof(f96,plain,(
% 0.13/0.39 $false),
% 0.13/0.39 inference(sat_refutation,[status(thm)],[f55,f60,f66,f72,f79,f81,f94])).
% 0.13/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.40 % Elapsed time: 0.049504 seconds
% 0.13/0.40 % CPU time: 0.139225 seconds
% 0.13/0.40 % Total memory used: 17.333 MB
% 0.13/0.40 % Net memory used: 16.858 MB
%------------------------------------------------------------------------------