%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN344+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n011.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 03:19:25 PM UTC 2026
% Result : CounterSatisfiable 0.10s 0.37s
% Output : Saturation 0.10s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X] :
? [Y1,Y2] :
! [Z] :
( ( ( big_f(X,Z)
=> ( big_f(Y1,Z)
=> big_f(Y2,X) ) )
=> big_f(X,X) )
=> ( ( big_f(Y1,Y2)
=> big_f(Z,Z) )
& big_f(X,X) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
~ ! [X] :
? [Y1,Y2] :
! [Z] :
( ( ( big_f(X,Z)
=> ( big_f(Y1,Z)
=> big_f(Y2,X) ) )
=> big_f(X,X) )
=> ( ( big_f(Y1,Y2)
=> big_f(Z,Z) )
& big_f(X,X) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
? [X] :
! [Y1,Y2] :
? [Z] :
( ( ( ~ big_f(Z,Z)
& big_f(Y1,Y2) )
| ~ big_f(X,X) )
& ( big_f(X,X)
| ( ~ big_f(Y2,X)
& big_f(Y1,Z)
& big_f(X,Z) ) ) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f4,plain,
! [Y1,Y2] :
( ( ( ~ big_f(sK1_skl(Y2,Y1),sK1_skl(Y2,Y1))
& big_f(Y1,Y2) )
| ~ big_f(sK0_skl,sK0_skl) )
& ( big_f(sK0_skl,sK0_skl)
| ( ~ big_f(Y2,sK0_skl)
& big_f(Y1,sK1_skl(Y2,Y1))
& big_f(sK0_skl,sK1_skl(Y2,Y1)) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl]),skolemize(X,sK0_skl),skolemize(Z,sK1_skl(Y2,Y1))],[f3]) ).
fof(f5,plain,
! [X0,X1] :
( big_f(sK0_skl,sK0_skl)
| big_f(sK0_skl,sK1_skl(X0,X1)) ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f6,plain,
! [X0,X1] :
( big_f(sK0_skl,sK0_skl)
| big_f(X0,sK1_skl(X1,X0)) ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f7,plain,
! [X0] :
( big_f(sK0_skl,sK0_skl)
| ~ big_f(X0,sK0_skl) ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f8,plain,
! [X0,X1] :
( big_f(X0,X1)
| ~ big_f(sK0_skl,sK0_skl) ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f9,plain,
! [X0,X1] :
( ~ big_f(sK1_skl(X0,X1),sK1_skl(X0,X1))
| ~ big_f(sK0_skl,sK0_skl) ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f10,definition,
! [X0,X1] :
( sQ0_spl
<=> big_f(sK0_skl,sK1_skl(X0,X1)) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f11,plain,
! [X0,X1] :
( ~ sQ0_spl
| big_f(sK0_skl,sK1_skl(X0,X1)) ),
inference(component_clause,[status(thm)],[f10]) ).
fof(f13,definition,
( sQ1_spl
<=> big_f(sK0_skl,sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f15,plain,
( sQ1_spl
| ~ big_f(sK0_skl,sK0_skl) ),
inference(component_clause,[status(thm)],[f13]) ).
fof(f16,plain,
( sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f5,f10,f13]) ).
fof(f17,definition,
! [X0,X1] :
( sQ2_spl
<=> big_f(X0,sK1_skl(X1,X0)) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f18,plain,
! [X0,X1] :
( ~ sQ2_spl
| big_f(X0,sK1_skl(X1,X0)) ),
inference(component_clause,[status(thm)],[f17]) ).
fof(f20,plain,
( sQ1_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f6,f17,f13]) ).
fof(f21,definition,
! [X0] :
( sQ3_spl
<=> ~ big_f(X0,sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f22,plain,
! [X0] :
( ~ sQ3_spl
| ~ big_f(X0,sK0_skl) ),
inference(component_clause,[status(thm)],[f21]) ).
fof(f24,plain,
( sQ1_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f7,f21,f13]) ).
fof(f25,definition,
! [X0,X1] :
( sQ4_spl
<=> big_f(X0,X1) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f28,plain,
( sQ4_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f8,f13,f25]) ).
fof(f29,definition,
! [X0,X1] :
( sQ5_spl
<=> ~ big_f(sK1_skl(X0,X1),sK1_skl(X0,X1)) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f32,plain,
( sQ5_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f9,f13,f29]) ).
fof(model,axiom,
( sQ0_spl
| ~ sQ1_spl
| sQ2_spl
| sQ3_spl ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN344+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n011.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Mon Sep 21 10:50:40 UTC 2026
% 0.10/0.35 % CPUTime :
% 0.10/0.36 % Drodi V4.1.1
% 0.10/0.37 % SZS status CounterSatisfiable for theBenchmark: Theorem is counter-satisfiable, conjecture is false
% 0.10/0.37 % SZS output start Saturation for theBenchmark
% See solution above
% 0.12/0.40 % Elapsed time: 0.040683 seconds
% 0.12/0.40 % CPU time: 0.103911 seconds
% 0.12/0.40 % Total memory used: 16.512 MB
% 0.12/0.40 % Net memory used: 15.924 MB
%------------------------------------------------------------------------------