%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN309-1 : 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 : n003.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 0.13s 0.40s
% Output : Saturation 0.13s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X,Y,Z] :
( ~ s(h(X,Y,Z),a,h(X,Y,Z))
| p(f(X),a,g(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
! [Y,Z] :
( s(h(a,Y,Z),b,h(a,Y,Z))
| r(f(a),a,b) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
! [X,Y] :
( p(f(X),g(X),g(X))
| ~ p(k(X,Y),k(X,Y),b)
| s(f(X),X,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
! [X,Y] :
( p(f(Y),Y,f(Y))
| s(f(X),X,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
! [X] : p(X,X,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
p(a,b,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,plain,
! [X] :
( ! [Y,Z] : ~ s(h(X,Y,Z),a,h(X,Y,Z))
| p(f(X),a,g(X)) ),
inference(miniscoping,[status(thm)],[f1]) ).
fof(f8,plain,
! [X0,X1,X2] :
( ~ s(h(X0,X1,X2),a,h(X0,X1,X2))
| p(f(X0),a,g(X0)) ),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f9,plain,
( ! [Y,Z] : s(h(a,Y,Z),b,h(a,Y,Z))
| r(f(a),a,b) ),
inference(miniscoping,[status(thm)],[f2]) ).
fof(f10,plain,
! [X0,X1] :
( s(h(a,X0,X1),b,h(a,X0,X1))
| r(f(a),a,b) ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f11,plain,
! [X] :
( p(f(X),g(X),g(X))
| ! [Y] : ~ p(k(X,Y),k(X,Y),b)
| s(f(X),X,X) ),
inference(miniscoping,[status(thm)],[f3]) ).
fof(f12,plain,
! [X0,X1] :
( p(f(X0),g(X0),g(X0))
| ~ p(k(X0,X1),k(X0,X1),b)
| s(f(X0),X0,X0) ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f13,plain,
( ! [Y] : p(f(Y),Y,f(Y))
| ! [X] : s(f(X),X,X) ),
inference(miniscoping,[status(thm)],[f4]) ).
fof(f14,plain,
! [X0,X1] :
( p(f(X1),X1,f(X1))
| s(f(X0),X0,X0) ),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f15,plain,
! [X0] : p(X0,X0,X0),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f16,plain,
p(a,b,c),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f17,definition,
( sQ0_spl
<=> r(f(a),a,b) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f18,plain,
( ~ sQ0_spl
| r(f(a),a,b) ),
inference(component_clause,[status(thm)],[f17]) ).
fof(f20,definition,
! [X0,X1] :
( sQ1_spl
<=> s(h(a,X0,X1),b,h(a,X0,X1)) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f23,plain,
( sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f10,f17,f20]) ).
fof(f24,definition,
! [X0] :
( sQ2_spl
<=> s(f(X0),X0,X0) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f25,plain,
! [X0] :
( ~ sQ2_spl
| s(f(X0),X0,X0) ),
inference(component_clause,[status(thm)],[f24]) ).
fof(f27,definition,
! [X1] :
( sQ3_spl
<=> p(f(X1),X1,f(X1)) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f30,plain,
( sQ3_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f14,f24,f27]) ).
fof(model,axiom,
( sQ0_spl
| sQ2_spl ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN309-1 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.36 % Computer : n003.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 10:50:16 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.37 % Drodi V4.1.1
% 0.13/0.40 % SZS status Satisfiable for theBenchmark: Theory is satisfiable
% 0.13/0.40 % SZS output start Saturation for theBenchmark
% See solution above
% 0.13/0.41 % Elapsed time: 0.043229 seconds
% 0.13/0.41 % CPU time: 0.104546 seconds
% 0.13/0.41 % Total memory used: 16.546 MB
% 0.13/0.41 % Net memory used: 15.977 MB
%------------------------------------------------------------------------------