%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN560-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n010.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 03:16:48 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.50s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 12
% Syntax : Number of formulae : 44 ( 13 unt; 2 def)
% Number of atoms : 103 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 110 ( 51 ~; 57 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 5 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 80 ( 80 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X0] : p2(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
~ p2(c9,f3(c10)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
! [X9] : p2(f4(X9),f5(X9,f3(f7(c10)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
! [X1,X2,X0] :
( ~ p2(X0,X2)
| ~ p2(X0,X1)
| p2(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,negated_conjecture,
! [X24,X25,X26] :
( ~ p8(X26,X25)
| ~ p8(X24,X26)
| p8(X24,X25) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,negated_conjecture,
p8(f6(c9,f4(c12)),f6(c9,f4(f5(c12,c14)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,negated_conjecture,
~ p8(f6(c9,f4(c12)),f6(c9,f4(f4(f5(c12,c14))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,negated_conjecture,
! [X20,X21,X23,X22] :
( ~ p2(X22,X20)
| ~ p8(X22,X23)
| ~ p2(X23,X21)
| p8(X20,X21) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,negated_conjecture,
! [X14,X15,X16,X17] :
( ~ p2(X14,X16)
| ~ p2(X15,X17)
| p2(f6(X14,X15),f6(X16,X17)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,negated_conjecture,
! [X3,X4] :
( p8(f6(X3,X4),f6(X3,f5(X4,f3(f7(c10)))))
| p2(X3,f3(c10)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,plain,
! [X0] : p2(X0,X0),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f17,plain,
~ p2(c9,f3(c10)),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f19,plain,
! [X0] : p2(f4(X0),f5(X0,f3(f7(c10)))),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f23,plain,
! [X2,X0] :
( ~ p2(X0,X2)
| ! [X1] :
( ~ p2(X0,X1)
| p2(X1,X2) ) ),
inference(miniscoping,[status(thm)],[f8]) ).
fof(f24,plain,
! [X0,X1,X2] :
( ~ p2(X2,X1)
| ~ p2(X2,X0)
| p2(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f25,plain,
! [X25,X26] :
( ~ p8(X26,X25)
| ! [X24] :
( ~ p8(X24,X26)
| p8(X24,X25) ) ),
inference(miniscoping,[status(thm)],[f9]) ).
fof(f26,plain,
! [X0,X1,X2] :
( ~ p8(X2,X1)
| ~ p8(X0,X2)
| p8(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f25]) ).
fof(f27,plain,
p8(f6(c9,f4(c12)),f6(c9,f4(f5(c12,c14)))),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f28,plain,
~ p8(f6(c9,f4(c12)),f6(c9,f4(f4(f5(c12,c14))))),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f29,plain,
! [X20,X22] :
( ~ p2(X22,X20)
| ! [X23] :
( ~ p8(X22,X23)
| ! [X21] :
( ~ p2(X23,X21)
| p8(X20,X21) ) ) ),
inference(miniscoping,[status(thm)],[f12]) ).
fof(f30,plain,
! [X0,X1,X2,X3] :
( ~ p2(X3,X0)
| ~ p8(X3,X2)
| ~ p2(X2,X1)
| p8(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f29]) ).
fof(f33,plain,
! [X14,X16] :
( ~ p2(X14,X16)
| ! [X15,X17] :
( ~ p2(X15,X17)
| p2(f6(X14,X15),f6(X16,X17)) ) ),
inference(miniscoping,[status(thm)],[f14]) ).
fof(f34,plain,
! [X0,X1,X2,X3] :
( ~ p2(X0,X2)
| ~ p2(X1,X3)
| p2(f6(X0,X1),f6(X2,X3)) ),
inference(cnf_transformation,[status(thm)],[f33]) ).
fof(f35,plain,
! [X3] :
( ! [X4] : p8(f6(X3,X4),f6(X3,f5(X4,f3(f7(c10)))))
| p2(X3,f3(c10)) ),
inference(miniscoping,[status(thm)],[f15]) ).
fof(f36,plain,
! [X0,X1] :
( p8(f6(X0,X1),f6(X0,f5(X1,f3(f7(c10)))))
| p2(X0,f3(c10)) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f51,plain,
! [X0] :
( ~ p8(f6(c9,f4(f5(c12,c14))),X0)
| p8(f6(c9,f4(c12)),X0) ),
inference(resolution,[status(thm)],[f27,f26]) ).
fof(f106,plain,
! [X0,X1,X2,X3] :
( ~ p2(f6(X0,X3),X1)
| ~ p2(f6(X0,f5(X3,f3(f7(c10)))),X2)
| p8(X1,X2)
| p2(X0,f3(c10)) ),
inference(resolution,[status(thm)],[f36,f30]) ).
fof(f109,definition,
( sQ0_spl
<=> p2(c9,f3(c10)) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f110,plain,
( ~ sQ0_spl
| p2(c9,f3(c10)) ),
inference(component_clause,[status(thm)],[f109]) ).
fof(f116,plain,
( ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f110,f17]) ).
fof(f117,plain,
~ sQ0_spl,
inference(contradiction_clause,[status(thm)],[f116]) ).
fof(f130,plain,
! [X0,X1,X2,X3,X4] :
( ~ p2(X4,X2)
| ~ p2(X4,f6(X0,f5(X3,f3(f7(c10)))))
| ~ p2(f6(X0,X3),X1)
| p8(X1,X2)
| p2(X0,f3(c10)) ),
inference(resolution,[status(thm)],[f106,f24]) ).
fof(f198,plain,
! [X0,X1,X2,X3] :
( ~ p2(X3,X2)
| ~ p2(X3,f6(X0,f5(X1,f3(f7(c10)))))
| p8(f6(X0,X1),X2)
| p2(X0,f3(c10)) ),
inference(resolution,[status(thm)],[f130,f16]) ).
fof(f199,plain,
! [X0,X1,X2,X3,X4] :
( ~ p2(X3,X0)
| ~ p2(X4,f5(X1,f3(f7(c10))))
| ~ p2(f6(X3,X4),X2)
| p8(f6(X0,X1),X2)
| p2(X0,f3(c10)) ),
inference(resolution,[status(thm)],[f198,f34]) ).
fof(f398,plain,
! [X0,X1,X2,X3] :
( ~ p2(X2,X0)
| ~ p2(X3,f5(X1,f3(f7(c10))))
| p8(f6(X0,X1),f6(X2,X3))
| p2(X0,f3(c10)) ),
inference(resolution,[status(thm)],[f199,f16]) ).
fof(f400,plain,
! [X0,X1,X2] :
( ~ p2(X2,X0)
| p8(f6(X0,X1),f6(X2,f4(X1)))
| p2(X0,f3(c10)) ),
inference(resolution,[status(thm)],[f398,f19]) ).
fof(f411,plain,
! [X0,X1] :
( p8(f6(X0,X1),f6(X0,f4(X1)))
| p2(X0,f3(c10)) ),
inference(resolution,[status(thm)],[f400,f16]) ).
fof(f419,plain,
( p8(f6(c9,f4(c12)),f6(c9,f4(f4(f5(c12,c14)))))
| p2(c9,f3(c10)) ),
inference(resolution,[status(thm)],[f411,f51]) ).
fof(f429,definition,
( sQ11_spl
<=> p8(f6(c9,f4(c12)),f6(c9,f4(f4(f5(c12,c14))))) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f430,plain,
( ~ sQ11_spl
| p8(f6(c9,f4(c12)),f6(c9,f4(f4(f5(c12,c14))))) ),
inference(component_clause,[status(thm)],[f429]) ).
fof(f432,plain,
( sQ11_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f419,f109,f429]) ).
fof(f442,plain,
( ~ sQ11_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f430,f28]) ).
fof(f443,plain,
~ sQ11_spl,
inference(contradiction_clause,[status(thm)],[f442]) ).
fof(f444,plain,
$false,
inference(sat_refutation,[status(thm)],[f117,f432,f443]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN560-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n010.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 11:08:56 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.12/0.36 % Drodi V4.1.1
% 0.12/0.50 % Refutation found
% 0.12/0.50 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.50 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.52 % Elapsed time: 0.163509 seconds
% 0.12/0.52 % CPU time: 0.987726 seconds
% 0.12/0.52 % Total memory used: 27.909 MB
% 0.12/0.52 % Net memory used: 25.262 MB
%------------------------------------------------------------------------------