%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN308-1 : TPTP v9.3.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n007.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 03:19:18 PM UTC 2026
% Result : Satisfiable 0.22s 0.53s
% Output : Saturation 0.22s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [Y,X,U] :
( p(U,f(U))
| p(f(f(a)),gf(c,gf(Y,X))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
! [X,Y,Z,V,U] :
( ~ g(U)
| g(V)
| g(b)
| ~ p(f(h(X,Y,Z)),Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
! [Z,X,Y] : e(gf(h(Z,X,Y),f(b))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
! [V,U] :
( r(f(b),gf(f(f(a)),gf(U,V)))
| r(gf(V,gf(V,U)),gf(U,V)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,plain,
( ! [U] : p(U,f(U))
| ! [Y,X] : p(f(f(a)),gf(c,gf(Y,X))) ),
inference(miniscoping,[status(thm)],[f1]) ).
fof(f6,plain,
! [X0,X1,X2] :
( p(X2,f(X2))
| p(f(f(a)),gf(c,gf(X0,X1))) ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f7,plain,
( ! [U] : ~ g(U)
| ! [V] : g(V)
| g(b)
| ! [X,Y,Z] : ~ p(f(h(X,Y,Z)),Z) ),
inference(miniscoping,[status(thm)],[f2]) ).
fof(f8,plain,
! [X0,X1,X2,X3,X4] :
( ~ g(X4)
| g(X3)
| g(b)
| ~ p(f(h(X0,X1,X2)),X2) ),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f9,plain,
! [X0,X1,X2] : e(gf(h(X0,X1,X2),f(b))),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f10,plain,
! [X0,X1] :
( r(f(b),gf(f(f(a)),gf(X1,X0)))
| r(gf(X0,gf(X0,X1)),gf(X1,X0)) ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f11,definition,
! [X0,X1] :
( sQ0_spl
<=> p(f(f(a)),gf(c,gf(X0,X1))) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f12,plain,
! [X0,X1] :
( ~ sQ0_spl
| p(f(f(a)),gf(c,gf(X0,X1))) ),
inference(component_clause,[status(thm)],[f11]) ).
fof(f14,definition,
! [X2] :
( sQ1_spl
<=> p(X2,f(X2)) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f17,plain,
( sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f6,f11,f14]) ).
fof(f18,definition,
! [X0,X1,X2] :
( sQ2_spl
<=> ~ p(f(h(X0,X1,X2)),X2) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f21,definition,
( sQ3_spl
<=> g(b) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f24,definition,
! [X3] :
( sQ4_spl
<=> g(X3) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f27,definition,
! [X4] :
( sQ5_spl
<=> ~ g(X4) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f28,plain,
! [X0] :
( ~ sQ5_spl
| ~ g(X0) ),
inference(component_clause,[status(thm)],[f27]) ).
fof(f30,plain,
( sQ5_spl
| sQ4_spl
| sQ3_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f8,f18,f21,f24,f27]) ).
fof(model,axiom,
( sQ0_spl
| sQ5_spl ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SYN308-1 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.22/0.48 % Computer : n007.cluster.edu
% 0.22/0.48 % Model : x86_64 x86_64
% 0.22/0.48 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.22/0.48 % Memory : 8046.5625MB
% 0.22/0.48 % OS : Linux 6.8.0-71-generic
% 0.22/0.48 % CPULimit : 300
% 0.22/0.48 % WCLimit : 300
% 0.22/0.48 % DateTime : Mon Sep 21 10:46:36 UTC 2026
% 0.22/0.49 % CPUTime :
% 0.22/0.50 % Drodi V4.1.1
% 0.22/0.53 % SZS status Satisfiable for theBenchmark: Theory is satisfiable
% 0.22/0.53 % SZS output start Saturation for theBenchmark
% See solution above
% 0.27/0.59 % Elapsed time: 0.086043 seconds
% 0.27/0.59 % CPU time: 0.062584 seconds
% 0.27/0.59 % Total memory used: 517.392 KB
% 0.27/0.59 % Net memory used: 509.600 KB
%------------------------------------------------------------------------------