%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN558-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n018.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 03:16:47 PM UTC 2026
% Result : Unsatisfiable 0.19s 0.68s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 10
% Syntax : Number of formulae : 40 ( 20 unt; 0 def)
% Number of atoms : 87 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 97 ( 50 ~; 47 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-1 aty)
% Number of variables : 72 ( 72 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X0] : p2(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
! [X8] : p4(X8,X8),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
! [X21] : p6(c7,f3(X21)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
p5(c7,c10,c9),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
p5(c7,c10,c8),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
! [X21] : p5(c7,X21,f3(X21)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
! [X26] :
( ~ p5(c7,c9,X26)
| ~ p5(c7,c8,X26) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,negated_conjecture,
! [X11,X12,X13,X14] :
( ~ p5(X11,X14,X13)
| ~ p5(X11,X12,X14)
| p5(X11,X12,X13) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,negated_conjecture,
! [X3,X4,X5] :
( ~ p5(c7,X5,X3)
| ~ p5(c7,X5,X4)
| ~ p6(c7,X3)
| ~ p6(c7,X4)
| p2(X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,negated_conjecture,
! [X15,X16,X17,X18,X19,X20] :
( ~ p5(X20,X18,X19)
| ~ p4(X20,X15)
| ~ p2(X19,X17)
| ~ p2(X18,X16)
| p5(X15,X16,X17) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,plain,
! [X0] : p2(X0,X0),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f16,plain,
! [X0] : p4(X0,X0),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f17,plain,
! [X0] : p6(c7,f3(X0)),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f18,plain,
p5(c7,c10,c9),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f19,plain,
p5(c7,c10,c8),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f20,plain,
! [X0] : p5(c7,X0,f3(X0)),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f22,plain,
! [X0] :
( ~ p5(c7,c9,X0)
| ~ p5(c7,c8,X0) ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f27,plain,
! [X11,X13,X14] :
( ~ p5(X11,X14,X13)
| ! [X12] :
( ~ p5(X11,X12,X14)
| p5(X11,X12,X13) ) ),
inference(miniscoping,[status(thm)],[f11]) ).
fof(f28,plain,
! [X0,X1,X2,X3] :
( ~ p5(X0,X3,X2)
| ~ p5(X0,X1,X3)
| p5(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f27]) ).
fof(f31,plain,
! [X3,X5] :
( ~ p5(c7,X5,X3)
| ! [X4] :
( ~ p5(c7,X5,X4)
| ~ p6(c7,X3)
| ~ p6(c7,X4)
| p2(X3,X4) ) ),
inference(miniscoping,[status(thm)],[f13]) ).
fof(f32,plain,
! [X0,X1,X2] :
( ~ p5(c7,X2,X0)
| ~ p5(c7,X2,X1)
| ~ p6(c7,X0)
| ~ p6(c7,X1)
| p2(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f31]) ).
fof(f33,plain,
! [X18,X19,X20] :
( ~ p5(X20,X18,X19)
| ! [X15] :
( ~ p4(X20,X15)
| ! [X17] :
( ~ p2(X19,X17)
| ! [X16] :
( ~ p2(X18,X16)
| p5(X15,X16,X17) ) ) ) ),
inference(miniscoping,[status(thm)],[f14]) ).
fof(f34,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ p5(X5,X3,X4)
| ~ p4(X5,X0)
| ~ p2(X4,X2)
| ~ p2(X3,X1)
| p5(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f33]) ).
fof(f47,plain,
! [X0] :
( ~ p5(c7,c8,X0)
| p5(c7,c10,X0) ),
inference(resolution,[status(thm)],[f28,f19]) ).
fof(f48,plain,
! [X0] :
( ~ p5(c7,c9,X0)
| p5(c7,c10,X0) ),
inference(resolution,[status(thm)],[f28,f18]) ).
fof(f49,plain,
! [X0,X1] :
( ~ p5(c7,f3(X0),X1)
| p5(c7,X0,X1) ),
inference(resolution,[status(thm)],[f28,f20]) ).
fof(f54,plain,
p5(c7,c10,f3(c8)),
inference(resolution,[status(thm)],[f47,f20]) ).
fof(f57,plain,
p5(c7,c10,f3(c9)),
inference(resolution,[status(thm)],[f48,f20]) ).
fof(f60,plain,
! [X0] : p5(c7,X0,f3(f3(X0))),
inference(resolution,[status(thm)],[f49,f20]) ).
fof(f62,plain,
! [X0,X1,X2] :
( ~ p5(c7,X2,X0)
| ~ p5(c7,X2,f3(X1))
| ~ p6(c7,X0)
| p2(X0,f3(X1)) ),
inference(resolution,[status(thm)],[f32,f17]) ).
fof(f66,plain,
~ p5(c7,c9,f3(f3(c8))),
inference(resolution,[status(thm)],[f60,f22]) ).
fof(f103,plain,
! [X0,X1,X2,X3,X4] :
( ~ p5(X4,X3,X2)
| ~ p4(X4,X0)
| ~ p2(X3,X1)
| p5(X0,X1,X2) ),
inference(resolution,[status(thm)],[f34,f15]) ).
fof(f105,plain,
! [X0,X1,X2] :
( ~ p5(c7,X2,f3(X0))
| ~ p5(c7,X2,f3(X1))
| p2(f3(X0),f3(X1)) ),
inference(resolution,[status(thm)],[f62,f17]) ).
fof(f106,plain,
! [X0,X1,X2,X3] :
( ~ p5(X0,X3,X2)
| ~ p2(X3,X1)
| p5(X0,X1,X2) ),
inference(resolution,[status(thm)],[f103,f16]) ).
fof(f158,plain,
! [X0] :
( ~ p5(c7,c10,f3(X0))
| p2(f3(X0),f3(c9)) ),
inference(resolution,[status(thm)],[f105,f57]) ).
fof(f172,plain,
p2(f3(c8),f3(c9)),
inference(resolution,[status(thm)],[f158,f54]) ).
fof(f180,plain,
! [X0,X1] :
( ~ p5(X0,f3(c8),X1)
| p5(X0,f3(c9),X1) ),
inference(resolution,[status(thm)],[f172,f106]) ).
fof(f1044,plain,
p5(c7,f3(c9),f3(f3(c8))),
inference(resolution,[status(thm)],[f180,f20]) ).
fof(f1046,plain,
p5(c7,c9,f3(f3(c8))),
inference(resolution,[status(thm)],[f1044,f49]) ).
fof(f1057,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f1046,f66]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SYN558-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.07 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.45 % Computer : n018.cluster.edu
% 0.19/0.45 % Model : x86_64 x86_64
% 0.19/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.45 % Memory : 8046.5625MB
% 0.19/0.45 % OS : Linux 6.8.0-71-generic
% 0.19/0.46 % CPULimit : 300
% 0.19/0.46 % WCLimit : 300
% 0.19/0.46 % DateTime : Mon Sep 21 11:09:58 UTC 2026
% 0.19/0.46 % CPUTime :
% 0.19/0.49 % Drodi V4.1.1
% 0.19/0.68 % Refutation found
% 0.19/0.68 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.19/0.68 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.23/0.71 % Elapsed time: 0.221941 seconds
% 0.23/0.71 % CPU time: 1.366754 seconds
% 0.23/0.71 % Total memory used: 66.769 MB
% 0.23/0.71 % Net memory used: 64.031 MB
%------------------------------------------------------------------------------