%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN612-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n019.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 03:16:55 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.39s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 13
% Syntax : Number of formulae : 44 ( 14 unt; 4 def)
% Number of atoms : 90 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 98 ( 52 ~; 42 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 8 ( 7 usr; 5 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 3 con; 0-2 aty)
% Number of variables : 55 ( 55 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,negated_conjecture,
! [X11] : p2(X11,X11),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
! [X18] : p3(X18,X18),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,negated_conjecture,
! [X16,X17] :
( ~ p3(X16,X17)
| p2(f9(X16),f9(X17)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,negated_conjecture,
! [X19,X20,X18] :
( ~ p3(X18,X20)
| ~ p3(X18,X19)
| p3(X19,X20) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,negated_conjecture,
! [X2,X3,X4,X5] :
( ~ p17(X4,X5)
| ~ p2(X5,X3)
| ~ p2(X4,X2)
| p17(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f22,negated_conjecture,
p3(f12(f4(f6(f7(f8(c20)))),c21),f4(f6(f7(f8(c20))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f24,negated_conjecture,
! [X21,X22,X23,X24] :
( ~ p3(X22,X24)
| ~ p3(X21,X23)
| p3(f10(X21,X22),f10(X23,X24)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f28,negated_conjecture,
! [X50] : ~ p17(f9(f10(f14(f4(f9(c19)),c19),f12(X50,c21))),f6(f7(f8(c20)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f29,negated_conjecture,
p17(f9(f10(f14(f4(f9(c19)),c19),f4(f6(f7(f8(c20)))))),f6(f7(f8(c20)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f32,plain,
! [X0] : p2(X0,X0),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f34,plain,
! [X0] : p3(X0,X0),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f42,plain,
! [X0,X1] :
( ~ p3(X0,X1)
| p2(f9(X0),f9(X1)) ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f51,plain,
! [X20,X18] :
( ~ p3(X18,X20)
| ! [X19] :
( ~ p3(X18,X19)
| p3(X19,X20) ) ),
inference(miniscoping,[status(thm)],[f19]) ).
fof(f52,plain,
! [X0,X1,X2] :
( ~ p3(X2,X1)
| ~ p3(X2,X0)
| p3(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f51]) ).
fof(f53,plain,
! [X4,X5] :
( ~ p17(X4,X5)
| ! [X3] :
( ~ p2(X5,X3)
| ! [X2] :
( ~ p2(X4,X2)
| p17(X2,X3) ) ) ),
inference(miniscoping,[status(thm)],[f20]) ).
fof(f54,plain,
! [X0,X1,X2,X3] :
( ~ p17(X2,X3)
| ~ p2(X3,X1)
| ~ p2(X2,X0)
| p17(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f53]) ).
fof(f57,plain,
p3(f12(f4(f6(f7(f8(c20)))),c21),f4(f6(f7(f8(c20))))),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f60,plain,
! [X22,X24] :
( ~ p3(X22,X24)
| ! [X21,X23] :
( ~ p3(X21,X23)
| p3(f10(X21,X22),f10(X23,X24)) ) ),
inference(miniscoping,[status(thm)],[f24]) ).
fof(f61,plain,
! [X0,X1,X2,X3] :
( ~ p3(X1,X3)
| ~ p3(X0,X2)
| p3(f10(X0,X1),f10(X2,X3)) ),
inference(cnf_transformation,[status(thm)],[f60]) ).
fof(f67,plain,
! [X0] : ~ p17(f9(f10(f14(f4(f9(c19)),c19),f12(X0,c21))),f6(f7(f8(c20)))),
inference(cnf_transformation,[status(thm)],[f28]) ).
fof(f68,plain,
p17(f9(f10(f14(f4(f9(c19)),c19),f4(f6(f7(f8(c20)))))),f6(f7(f8(c20)))),
inference(cnf_transformation,[status(thm)],[f29]) ).
fof(f113,plain,
! [X0,X1] :
( ~ p2(f6(f7(f8(c20))),X1)
| ~ p2(f9(f10(f14(f4(f9(c19)),c19),f4(f6(f7(f8(c20)))))),X0)
| p17(X0,X1) ),
inference(resolution,[status(thm)],[f68,f54]) ).
fof(f114,plain,
! [X0] :
( ~ p2(f6(f7(f8(c20))),f6(f7(f8(c20))))
| ~ p2(f9(f10(f14(f4(f9(c19)),c19),f4(f6(f7(f8(c20)))))),f9(f10(f14(f4(f9(c19)),c19),f12(X0,c21)))) ),
inference(resolution,[status(thm)],[f113,f67]) ).
fof(f116,definition,
! [X0] :
( sQ2_spl
<=> ~ p2(f9(f10(f14(f4(f9(c19)),c19),f4(f6(f7(f8(c20)))))),f9(f10(f14(f4(f9(c19)),c19),f12(X0,c21)))) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f117,plain,
! [X0] :
( ~ sQ2_spl
| ~ p2(f9(f10(f14(f4(f9(c19)),c19),f4(f6(f7(f8(c20)))))),f9(f10(f14(f4(f9(c19)),c19),f12(X0,c21)))) ),
inference(component_clause,[status(thm)],[f116]) ).
fof(f119,definition,
( sQ3_spl
<=> p2(f6(f7(f8(c20))),f6(f7(f8(c20)))) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f121,plain,
( sQ3_spl
| ~ p2(f6(f7(f8(c20))),f6(f7(f8(c20)))) ),
inference(component_clause,[status(thm)],[f119]) ).
fof(f122,plain,
( ~ sQ3_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f114,f116,f119]) ).
fof(f150,plain,
! [X0] :
( ~ sQ2_spl
| ~ p3(f10(f14(f4(f9(c19)),c19),f4(f6(f7(f8(c20))))),f10(f14(f4(f9(c19)),c19),f12(X0,c21))) ),
inference(resolution,[status(thm)],[f117,f42]) ).
fof(f165,plain,
! [X0] :
( ~ sQ2_spl
| ~ p3(f4(f6(f7(f8(c20)))),f12(X0,c21))
| ~ p3(f14(f4(f9(c19)),c19),f14(f4(f9(c19)),c19)) ),
inference(resolution,[status(thm)],[f150,f61]) ).
fof(f167,definition,
( sQ8_spl
<=> p3(f14(f4(f9(c19)),c19),f14(f4(f9(c19)),c19)) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f169,plain,
( sQ8_spl
| ~ p3(f14(f4(f9(c19)),c19),f14(f4(f9(c19)),c19)) ),
inference(component_clause,[status(thm)],[f167]) ).
fof(f170,definition,
! [X0] :
( sQ9_spl
<=> ~ p3(f4(f6(f7(f8(c20)))),f12(X0,c21)) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f171,plain,
! [X0] :
( ~ sQ9_spl
| ~ p3(f4(f6(f7(f8(c20)))),f12(X0,c21)) ),
inference(component_clause,[status(thm)],[f170]) ).
fof(f173,plain,
( ~ sQ2_spl
| sQ9_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f165,f167,f170,f116]) ).
fof(f174,plain,
( sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f121,f32]) ).
fof(f175,plain,
sQ3_spl,
inference(contradiction_clause,[status(thm)],[f174]) ).
fof(f176,plain,
( sQ8_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f169,f34]) ).
fof(f177,plain,
sQ8_spl,
inference(contradiction_clause,[status(thm)],[f176]) ).
fof(f178,plain,
! [X0,X1] :
( ~ sQ9_spl
| ~ p3(X0,f12(X1,c21))
| ~ p3(X0,f4(f6(f7(f8(c20))))) ),
inference(resolution,[status(thm)],[f171,f52]) ).
fof(f181,plain,
! [X0] :
( ~ sQ9_spl
| ~ p3(f12(X0,c21),f4(f6(f7(f8(c20))))) ),
inference(resolution,[status(thm)],[f178,f34]) ).
fof(f182,plain,
( ~ sQ9_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f57,f181]) ).
fof(f184,plain,
~ sQ9_spl,
inference(contradiction_clause,[status(thm)],[f182]) ).
fof(f185,plain,
$false,
inference(sat_refutation,[status(thm)],[f122,f173,f175,f177,f184]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN612-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.36 % Computer : n019.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 11:10:35 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.37 % Drodi V4.1.1
% 0.14/0.39 % Refutation found
% 0.14/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.43 % Elapsed time: 0.059279 seconds
% 0.14/0.43 % CPU time: 0.147748 seconds
% 0.14/0.43 % Total memory used: 6.966 MB
% 0.14/0.43 % Net memory used: 6.686 MB
%------------------------------------------------------------------------------