%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN344-1 : TPTP v9.3.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n005.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 : Satisfiable 0.09s 0.39s
% Output : Saturation 0.09s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [Y1,Y2] :
( f(a,a)
| f(a,z(Y1,Y2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
! [Y1,Y2] :
( f(a,a)
| f(Y1,z(Y1,Y2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
! [Y2] :
( f(a,a)
| ~ f(Y2,a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
! [Y1,Y2] :
( f(Y1,Y2)
| ~ f(a,a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
! [Y1,Y2] :
( ~ f(z(Y1,Y2),z(Y1,Y2))
| ~ f(a,a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,plain,
( f(a,a)
| ! [Y1,Y2] : f(a,z(Y1,Y2)) ),
inference(miniscoping,[status(thm)],[f1]) ).
fof(f7,plain,
! [X0,X1] :
( f(a,a)
| f(a,z(X0,X1)) ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f8,plain,
( f(a,a)
| ! [Y1,Y2] : f(Y1,z(Y1,Y2)) ),
inference(miniscoping,[status(thm)],[f2]) ).
fof(f9,plain,
! [X0,X1] :
( f(a,a)
| f(X0,z(X0,X1)) ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f10,plain,
( f(a,a)
| ! [Y2] : ~ f(Y2,a) ),
inference(miniscoping,[status(thm)],[f3]) ).
fof(f11,plain,
! [X0] :
( f(a,a)
| ~ f(X0,a) ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f12,plain,
( ! [Y1,Y2] : f(Y1,Y2)
| ~ f(a,a) ),
inference(miniscoping,[status(thm)],[f4]) ).
fof(f13,plain,
! [X0,X1] :
( f(X0,X1)
| ~ f(a,a) ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f14,plain,
( ! [Y1,Y2] : ~ f(z(Y1,Y2),z(Y1,Y2))
| ~ f(a,a) ),
inference(miniscoping,[status(thm)],[f5]) ).
fof(f15,plain,
! [X0,X1] :
( ~ f(z(X0,X1),z(X0,X1))
| ~ f(a,a) ),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f16,definition,
! [X0,X1] :
( sQ0_spl
<=> f(a,z(X0,X1)) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f17,plain,
! [X0,X1] :
( ~ sQ0_spl
| f(a,z(X0,X1)) ),
inference(component_clause,[status(thm)],[f16]) ).
fof(f19,definition,
( sQ1_spl
<=> f(a,a) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f21,plain,
( sQ1_spl
| ~ f(a,a) ),
inference(component_clause,[status(thm)],[f19]) ).
fof(f22,plain,
( sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f7,f16,f19]) ).
fof(f23,definition,
! [X0,X1] :
( sQ2_spl
<=> f(X0,z(X0,X1)) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f24,plain,
! [X0,X1] :
( ~ sQ2_spl
| f(X0,z(X0,X1)) ),
inference(component_clause,[status(thm)],[f23]) ).
fof(f26,plain,
( sQ1_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f9,f23,f19]) ).
fof(f27,definition,
! [X0] :
( sQ3_spl
<=> ~ f(X0,a) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f28,plain,
! [X0] :
( ~ sQ3_spl
| ~ f(X0,a) ),
inference(component_clause,[status(thm)],[f27]) ).
fof(f30,plain,
( sQ1_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f11,f27,f19]) ).
fof(f31,definition,
! [X0,X1] :
( sQ4_spl
<=> f(X0,X1) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f34,plain,
( sQ4_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f13,f19,f31]) ).
fof(f35,definition,
! [X0,X1] :
( sQ5_spl
<=> ~ f(z(X0,X1),z(X0,X1)) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f38,plain,
( sQ5_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f15,f19,f35]) ).
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 v1.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n005.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 21 10:50:32 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 % Drodi V4.1.1
% 0.09/0.39 % SZS status Satisfiable for theBenchmark: Theory is satisfiable
% 0.09/0.39 % SZS output start Saturation for theBenchmark
% See solution above
% 0.14/0.41 % Elapsed time: 0.045930 seconds
% 0.14/0.41 % CPU time: 0.108075 seconds
% 0.14/0.41 % Total memory used: 16.450 MB
% 0.14/0.41 % Net memory used: 15.886 MB
%------------------------------------------------------------------------------