TSTP Solution File: SWV001-1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWV001-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 20:45:44 EDT 2024
% Result : Unsatisfiable 0.12s 0.36s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV001-1 : TPTP v8.1.2. Released v1.0.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.34 % Computer : n015.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Apr 30 01:01:32 EDT 2024
% 0.12/0.35 % CPUTime :
% 0.12/0.36 % Drodi V3.6.0
% 0.12/0.36 % Refutation found
% 0.12/0.36 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.36 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.36 fof(f3,axiom,(
% 0.12/0.36 (![X,Y,Z]: (( ~ q1(X,Y,Z)| ~ less_or_equalish(X,Y)| q2(X,Y,Z) ) ))),
% 0.12/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.36 fof(f4,axiom,(
% 0.12/0.36 (![X,Y,Z]: (( ~ q1(X,Y,Z)| less_or_equalish(X,Y)| q3(X,Y,Z) ) ))),
% 0.12/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.36 fof(f5,axiom,(
% 0.12/0.36 (![X,Y,Z]: (( ~ q2(X,Y,Z)| q4(X,Y,Y) ) ))),
% 0.12/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.36 fof(f6,axiom,(
% 0.12/0.36 (![X,Y,Z]: (( ~ q3(X,Y,Z)| q4(X,Y,X) ) ))),
% 0.12/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.36 fof(f7,axiom,(
% 0.12/0.36 (![X]: (less_or_equalish(X,X) ))),
% 0.12/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.36 fof(f10,axiom,(
% 0.12/0.36 (![X,Y]: (( less_or_equalish(X,Y)| less_or_equalish(Y,X) ) ))),
% 0.12/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.36 fof(f12,negated_conjecture,(
% 0.12/0.36 q1(a,b,c) ),
% 0.12/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.36 fof(f13,negated_conjecture,(
% 0.12/0.36 (![W]: (( ~ q4(a,b,W)| ~ less_or_equalish(a,W)| ~ less_or_equalish(b,W)| ~ less_or_equalish(W,a) ) ))),
% 0.12/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.36 fof(f14,negated_conjecture,(
% 0.12/0.36 (![W]: (( ~ q4(a,b,W)| ~ less_or_equalish(a,W)| ~ less_or_equalish(b,W)| ~ less_or_equalish(W,b) ) ))),
% 0.12/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.36 fof(f19,plain,(
% 0.12/0.36 ![X0,X1,X2]: (~q1(X0,X1,X2)|~less_or_equalish(X0,X1)|q2(X0,X1,X2))),
% 0.12/0.36 inference(cnf_transformation,[status(esa)],[f3])).
% 0.12/0.36 fof(f20,plain,(
% 0.12/0.36 ![X0,X1,X2]: (~q1(X0,X1,X2)|less_or_equalish(X0,X1)|q3(X0,X1,X2))),
% 0.12/0.36 inference(cnf_transformation,[status(esa)],[f4])).
% 0.12/0.36 fof(f21,plain,(
% 0.12/0.36 ![X,Y]: ((![Z]: ~q2(X,Y,Z))|q4(X,Y,Y))),
% 0.12/0.36 inference(miniscoping,[status(esa)],[f5])).
% 0.12/0.36 fof(f22,plain,(
% 0.12/0.36 ![X0,X1,X2]: (~q2(X0,X1,X2)|q4(X0,X1,X1))),
% 0.12/0.36 inference(cnf_transformation,[status(esa)],[f21])).
% 0.12/0.36 fof(f23,plain,(
% 0.12/0.36 ![X,Y]: ((![Z]: ~q3(X,Y,Z))|q4(X,Y,X))),
% 0.12/0.36 inference(miniscoping,[status(esa)],[f6])).
% 0.12/0.36 fof(f24,plain,(
% 0.12/0.36 ![X0,X1,X2]: (~q3(X0,X1,X2)|q4(X0,X1,X0))),
% 0.12/0.36 inference(cnf_transformation,[status(esa)],[f23])).
% 0.12/0.36 fof(f25,plain,(
% 0.12/0.36 ![X0]: (less_or_equalish(X0,X0))),
% 0.12/0.36 inference(cnf_transformation,[status(esa)],[f7])).
% 0.12/0.36 fof(f29,plain,(
% 0.12/0.36 ![X0,X1]: (less_or_equalish(X0,X1)|less_or_equalish(X1,X0))),
% 0.12/0.36 inference(cnf_transformation,[status(esa)],[f10])).
% 0.12/0.36 fof(f31,plain,(
% 0.12/0.36 q1(a,b,c)),
% 0.12/0.36 inference(cnf_transformation,[status(esa)],[f12])).
% 0.12/0.36 fof(f32,plain,(
% 0.12/0.36 ![X0]: (~q4(a,b,X0)|~less_or_equalish(a,X0)|~less_or_equalish(b,X0)|~less_or_equalish(X0,a))),
% 0.12/0.36 inference(cnf_transformation,[status(esa)],[f13])).
% 0.12/0.36 fof(f33,plain,(
% 0.12/0.36 ![X0]: (~q4(a,b,X0)|~less_or_equalish(a,X0)|~less_or_equalish(b,X0)|~less_or_equalish(X0,b))),
% 0.12/0.36 inference(cnf_transformation,[status(esa)],[f14])).
% 0.12/0.36 fof(f34,plain,(
% 0.12/0.36 spl0_0 <=> ~q2(a,b,X0)),
% 0.12/0.36 introduced(split_symbol_definition)).
% 0.12/0.36 fof(f35,plain,(
% 0.12/0.36 ![X0]: (~q2(a,b,X0)|~spl0_0)),
% 0.12/0.36 inference(component_clause,[status(thm)],[f34])).
% 0.12/0.36 fof(f37,plain,(
% 0.12/0.36 spl0_1 <=> less_or_equalish(a,b)),
% 0.12/0.36 introduced(split_symbol_definition)).
% 0.12/0.36 fof(f39,plain,(
% 0.12/0.36 ~less_or_equalish(a,b)|spl0_1),
% 0.12/0.36 inference(component_clause,[status(thm)],[f37])).
% 0.12/0.36 fof(f40,plain,(
% 0.12/0.36 spl0_2 <=> less_or_equalish(b,b)),
% 0.12/0.36 introduced(split_symbol_definition)).
% 0.12/0.36 fof(f42,plain,(
% 0.12/0.36 ~less_or_equalish(b,b)|spl0_2),
% 0.12/0.36 inference(component_clause,[status(thm)],[f40])).
% 0.12/0.36 fof(f43,plain,(
% 0.12/0.36 ![X0]: (~q2(a,b,X0)|~less_or_equalish(a,b)|~less_or_equalish(b,b)|~less_or_equalish(b,b))),
% 0.12/0.36 inference(resolution,[status(thm)],[f22,f33])).
% 0.12/0.36 fof(f44,plain,(
% 0.12/0.36 spl0_0|~spl0_1|~spl0_2),
% 0.12/0.36 inference(split_clause,[status(thm)],[f43,f34,f37,f40])).
% 0.12/0.36 fof(f45,plain,(
% 0.12/0.36 spl0_3 <=> less_or_equalish(b,a)),
% 0.12/0.36 introduced(split_symbol_definition)).
% 0.12/0.36 fof(f47,plain,(
% 0.12/0.36 ~less_or_equalish(b,a)|spl0_3),
% 0.12/0.36 inference(component_clause,[status(thm)],[f45])).
% 0.12/0.36 fof(f50,plain,(
% 0.12/0.36 $false|spl0_2),
% 0.12/0.36 inference(forward_subsumption_resolution,[status(thm)],[f42,f25])).
% 0.12/0.36 fof(f51,plain,(
% 0.12/0.36 spl0_2),
% 0.12/0.36 inference(contradiction_clause,[status(thm)],[f50])).
% 0.12/0.36 fof(f52,plain,(
% 0.12/0.36 spl0_4 <=> ~q3(a,b,X0)),
% 0.12/0.36 introduced(split_symbol_definition)).
% 0.12/0.37 fof(f53,plain,(
% 0.12/0.37 ![X0]: (~q3(a,b,X0)|~spl0_4)),
% 0.12/0.37 inference(component_clause,[status(thm)],[f52])).
% 0.12/0.37 fof(f55,plain,(
% 0.12/0.37 spl0_5 <=> less_or_equalish(a,a)),
% 0.12/0.37 introduced(split_symbol_definition)).
% 0.12/0.37 fof(f57,plain,(
% 0.12/0.37 ~less_or_equalish(a,a)|spl0_5),
% 0.12/0.37 inference(component_clause,[status(thm)],[f55])).
% 0.12/0.37 fof(f60,plain,(
% 0.12/0.37 ![X0]: (~q3(a,b,X0)|~less_or_equalish(a,a)|~less_or_equalish(b,a)|~less_or_equalish(a,a))),
% 0.12/0.37 inference(resolution,[status(thm)],[f24,f32])).
% 0.12/0.37 fof(f61,plain,(
% 0.12/0.37 spl0_4|~spl0_5|~spl0_3),
% 0.12/0.37 inference(split_clause,[status(thm)],[f60,f52,f55,f45])).
% 0.12/0.37 fof(f66,plain,(
% 0.12/0.37 less_or_equalish(b,a)|spl0_1),
% 0.12/0.37 inference(resolution,[status(thm)],[f39,f29])).
% 0.12/0.37 fof(f67,plain,(
% 0.12/0.37 $false|spl0_3|spl0_1),
% 0.12/0.37 inference(forward_subsumption_resolution,[status(thm)],[f66,f47])).
% 0.12/0.37 fof(f68,plain,(
% 0.12/0.37 spl0_3|spl0_1),
% 0.12/0.37 inference(contradiction_clause,[status(thm)],[f67])).
% 0.12/0.37 fof(f69,plain,(
% 0.12/0.37 $false|spl0_5),
% 0.12/0.37 inference(forward_subsumption_resolution,[status(thm)],[f57,f25])).
% 0.12/0.37 fof(f70,plain,(
% 0.12/0.37 spl0_5),
% 0.12/0.37 inference(contradiction_clause,[status(thm)],[f69])).
% 0.12/0.37 fof(f73,plain,(
% 0.12/0.37 spl0_6 <=> ~q1(a,b,X0)),
% 0.12/0.37 introduced(split_symbol_definition)).
% 0.12/0.37 fof(f74,plain,(
% 0.12/0.37 ![X0]: (~q1(a,b,X0)|~spl0_6)),
% 0.12/0.37 inference(component_clause,[status(thm)],[f73])).
% 0.12/0.37 fof(f76,plain,(
% 0.12/0.37 ![X0]: (~q1(a,b,X0)|less_or_equalish(a,b)|~spl0_4)),
% 0.12/0.37 inference(resolution,[status(thm)],[f53,f20])).
% 0.12/0.37 fof(f77,plain,(
% 0.12/0.37 spl0_6|spl0_1|~spl0_4),
% 0.12/0.37 inference(split_clause,[status(thm)],[f76,f73,f37,f52])).
% 0.12/0.37 fof(f88,plain,(
% 0.12/0.37 ![X0]: (~q1(a,b,X0)|~less_or_equalish(a,b)|~spl0_0)),
% 0.12/0.37 inference(resolution,[status(thm)],[f35,f19])).
% 0.12/0.37 fof(f89,plain,(
% 0.12/0.37 spl0_6|~spl0_1|~spl0_0),
% 0.12/0.37 inference(split_clause,[status(thm)],[f88,f73,f37,f34])).
% 0.12/0.37 fof(f90,plain,(
% 0.12/0.37 $false|~spl0_6),
% 0.12/0.37 inference(backward_subsumption_resolution,[status(thm)],[f31,f74])).
% 0.12/0.37 fof(f91,plain,(
% 0.12/0.37 ~spl0_6),
% 0.12/0.37 inference(contradiction_clause,[status(thm)],[f90])).
% 0.12/0.37 fof(f92,plain,(
% 0.12/0.37 $false),
% 0.12/0.37 inference(sat_refutation,[status(thm)],[f44,f51,f61,f68,f70,f77,f89,f91])).
% 0.12/0.37 % SZS output end CNFRefutation for theBenchmark.p
% 0.21/0.38 % Elapsed time: 0.024493 seconds
% 0.21/0.38 % CPU time: 0.058563 seconds
% 0.21/0.38 % Total memory used: 2.370 MB
% 0.21/0.38 % Net memory used: 2.332 MB
%------------------------------------------------------------------------------