%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN078-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n017.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 03:18:54 PM UTC 2026
% Result : Satisfiable 0.11s 0.40s
% Output : Saturation 0.11s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X,Y,Z] :
( big_f(f(Z))
| ~ big_f(Z)
| big_f(Y)
| Y != f(Y)
| ~ big_f(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
! [X,Y] :
( big_f(a)
| big_f(Y)
| Y != f(Y)
| ~ big_f(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
! [X,Y] :
( b = f(b)
| big_f(Y)
| Y != f(Y)
| ~ big_f(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
! [X,Y] :
( ~ big_f(b)
| big_f(Y)
| Y != f(Y)
| ~ big_f(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
! [X] :
( big_f(f(X))
| ~ big_f(X)
| big_f(c) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
( big_f(a)
| big_f(c) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
( b = f(b)
| big_f(c) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
( ~ big_f(b)
| big_f(c) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,negated_conjecture,
! [X] :
( big_f(f(X))
| ~ big_f(X)
| ~ big_f(f(c)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,negated_conjecture,
( big_f(a)
| ~ big_f(f(c)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,negated_conjecture,
( b = f(b)
| ~ big_f(f(c)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,negated_conjecture,
( ~ big_f(b)
| ~ big_f(f(c)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,plain,
! [Z] :
( big_f(f(Z))
| ~ big_f(Z)
| ! [Y] :
( big_f(Y)
| Y != f(Y)
| ! [X] : ~ big_f(X) ) ),
inference(miniscoping,[status(thm)],[f1]) ).
fof(f14,plain,
! [X0,X1,X2] :
( big_f(f(X2))
| ~ big_f(X2)
| big_f(X1)
| X1 != f(X1)
| ~ big_f(X0) ),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f15,plain,
( big_f(a)
| ! [Y] :
( big_f(Y)
| Y != f(Y)
| ! [X] : ~ big_f(X) ) ),
inference(miniscoping,[status(thm)],[f2]) ).
fof(f16,plain,
! [X0,X1] :
( big_f(a)
| big_f(X1)
| X1 != f(X1)
| ~ big_f(X0) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f17,plain,
( b = f(b)
| ! [Y] :
( big_f(Y)
| Y != f(Y)
| ! [X] : ~ big_f(X) ) ),
inference(miniscoping,[status(thm)],[f3]) ).
fof(f18,plain,
! [X0,X1] :
( b = f(b)
| big_f(X1)
| X1 != f(X1)
| ~ big_f(X0) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f19,plain,
( ~ big_f(b)
| ! [Y] :
( big_f(Y)
| Y != f(Y)
| ! [X] : ~ big_f(X) ) ),
inference(miniscoping,[status(thm)],[f4]) ).
fof(f20,plain,
! [X0,X1] :
( ~ big_f(b)
| big_f(X1)
| X1 != f(X1)
| ~ big_f(X0) ),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f21,plain,
! [X0] :
( big_f(f(X0))
| ~ big_f(X0)
| big_f(c) ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f22,plain,
( big_f(a)
| big_f(c) ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f23,plain,
( b = f(b)
| big_f(c) ),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f24,plain,
( ~ big_f(b)
| big_f(c) ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f25,plain,
! [X0] :
( big_f(f(X0))
| ~ big_f(X0)
| ~ big_f(f(c)) ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f26,plain,
( big_f(a)
| ~ big_f(f(c)) ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f27,plain,
( b = f(b)
| ~ big_f(f(c)) ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f28,plain,
( ~ big_f(b)
| ~ big_f(f(c)) ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f29,definition,
! [X0] :
( sQ0_spl
<=> ~ big_f(X0) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f32,definition,
! [X1] :
( sQ1_spl
<=> ( big_f(X1)
| X1 != f(X1) ) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f33,plain,
! [X0] :
( ~ sQ1_spl
| big_f(X0)
| X0 != f(X0) ),
inference(component_clause,[status(thm)],[f32]) ).
fof(f35,definition,
! [X2] :
( sQ2_spl
<=> ( big_f(f(X2))
| ~ big_f(X2) ) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f38,plain,
( sQ2_spl
| sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f14,f29,f32,f35]) ).
fof(f39,definition,
( sQ3_spl
<=> big_f(a) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f42,plain,
( sQ3_spl
| sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f16,f29,f32,f39]) ).
fof(f43,definition,
( sQ4_spl
<=> b = f(b) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f46,plain,
( sQ4_spl
| sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f18,f29,f32,f43]) ).
fof(f47,definition,
( sQ5_spl
<=> big_f(b) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f50,plain,
( ~ sQ5_spl
| sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f20,f29,f32,f47]) ).
fof(f51,definition,
( sQ6_spl
<=> big_f(c) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f52,plain,
( ~ sQ6_spl
| big_f(c) ),
inference(component_clause,[status(thm)],[f51]) ).
fof(f54,plain,
( sQ2_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f21,f51,f35]) ).
fof(f55,plain,
( sQ3_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f22,f51,f39]) ).
fof(f56,plain,
( sQ4_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f23,f51,f43]) ).
fof(f57,plain,
( ~ sQ5_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f24,f51,f47]) ).
fof(f58,definition,
( sQ7_spl
<=> big_f(f(c)) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f60,plain,
( sQ7_spl
| ~ big_f(f(c)) ),
inference(component_clause,[status(thm)],[f58]) ).
fof(f61,plain,
( sQ2_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f25,f58,f35]) ).
fof(f62,plain,
( sQ3_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f26,f58,f39]) ).
fof(f63,plain,
( sQ4_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f27,f58,f43]) ).
fof(f64,plain,
( ~ sQ5_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f28,f58,f47]) ).
fof(model,axiom,
( sQ1_spl
| sQ6_spl
| ~ sQ7_spl ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN078-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.36 % Computer : n017.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Mon Sep 21 10:37:13 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.38 % Drodi V4.1.1
% 0.11/0.40 % SZS status Satisfiable for theBenchmark: Theory is satisfiable
% 0.11/0.40 % SZS output start Saturation for theBenchmark
% See solution above
% 0.11/0.43 % Elapsed time: 0.050844 seconds
% 0.11/0.43 % CPU time: 0.152687 seconds
% 0.11/0.43 % Total memory used: 79.837 MB
% 0.11/0.43 % Net memory used: 79.320 MB
%------------------------------------------------------------------------------