%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN597-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : 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 03:16:53 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.38s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 11
% Syntax : Number of formulae : 37 ( 19 unt; 0 def)
% Number of atoms : 75 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 86 ( 48 ~; 38 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-3 aty)
% Number of variables : 65 ( 65 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X0] : p10(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
! [X50] : p9(X50,X50),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
! [X35] : p3(X35,X35),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
! [X28] : p2(X28,X28),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
p3(c21,c22),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f21,negated_conjecture,
p18(c20,f11(f13(f15(c20),f14(f4(c20),c21)),c23,c24)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f22,negated_conjecture,
~ p18(c20,f11(f13(f15(c20),f14(f4(c20),c22)),c23,c24)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f24,negated_conjecture,
! [X24,X25,X27,X26] :
( ~ p10(X26,X25)
| ~ p2(X27,X24)
| ~ p18(X27,X26)
| p18(X24,X25) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f26,negated_conjecture,
! [X31,X32,X33,X34] :
( ~ p3(X31,X33)
| ~ p12(X32,X34)
| p2(f13(X31,X32),f13(X33,X34)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f27,negated_conjecture,
! [X12,X13,X14,X15] :
( ~ p3(X13,X15)
| ~ p3(X12,X14)
| p12(f14(X12,X13),f14(X14,X15)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f28,negated_conjecture,
! [X3,X4,X5,X6,X7,X8] :
( ~ p10(X5,X8)
| ~ p9(X4,X7)
| ~ p2(X3,X6)
| p10(f11(X3,X4,X5),f11(X6,X7,X8)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f29,plain,
! [X0] : p10(X0,X0),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f30,plain,
! [X0] : p9(X0,X0),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f31,plain,
! [X0] : p3(X0,X0),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f32,plain,
! [X0] : p2(X0,X0),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f35,plain,
p3(c21,c22),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f54,plain,
p18(c20,f11(f13(f15(c20),f14(f4(c20),c21)),c23,c24)),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f55,plain,
~ p18(c20,f11(f13(f15(c20),f14(f4(c20),c22)),c23,c24)),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f58,plain,
! [X25,X26] :
( ~ p10(X26,X25)
| ! [X24,X27] :
( ~ p2(X27,X24)
| ~ p18(X27,X26)
| p18(X24,X25) ) ),
inference(miniscoping,[status(thm)],[f24]) ).
fof(f59,plain,
! [X0,X1,X2,X3] :
( ~ p10(X3,X1)
| ~ p2(X2,X0)
| ~ p18(X2,X3)
| p18(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f58]) ).
fof(f62,plain,
! [X31,X33] :
( ~ p3(X31,X33)
| ! [X32,X34] :
( ~ p12(X32,X34)
| p2(f13(X31,X32),f13(X33,X34)) ) ),
inference(miniscoping,[status(thm)],[f26]) ).
fof(f63,plain,
! [X0,X1,X2,X3] :
( ~ p3(X0,X2)
| ~ p12(X1,X3)
| p2(f13(X0,X1),f13(X2,X3)) ),
inference(cnf_transformation,[status(thm)],[f62]) ).
fof(f64,plain,
! [X13,X15] :
( ~ p3(X13,X15)
| ! [X12,X14] :
( ~ p3(X12,X14)
| p12(f14(X12,X13),f14(X14,X15)) ) ),
inference(miniscoping,[status(thm)],[f27]) ).
fof(f65,plain,
! [X0,X1,X2,X3] :
( ~ p3(X1,X3)
| ~ p3(X0,X2)
| p12(f14(X0,X1),f14(X2,X3)) ),
inference(cnf_transformation,[status(thm)],[f64]) ).
fof(f66,plain,
! [X5,X8] :
( ~ p10(X5,X8)
| ! [X4,X7] :
( ~ p9(X4,X7)
| ! [X3,X6] :
( ~ p2(X3,X6)
| p10(f11(X3,X4,X5),f11(X6,X7,X8)) ) ) ),
inference(miniscoping,[status(thm)],[f28]) ).
fof(f67,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ p10(X2,X5)
| ~ p9(X1,X4)
| ~ p2(X0,X3)
| p10(f11(X0,X1,X2),f11(X3,X4,X5)) ),
inference(cnf_transformation,[status(thm)],[f66]) ).
fof(f68,plain,
! [X0,X1] :
( ~ p10(f11(f13(f15(c20),f14(f4(c20),c21)),c23,c24),X1)
| ~ p2(c20,X0)
| p18(X0,X1) ),
inference(resolution,[status(thm)],[f59,f54]) ).
fof(f70,plain,
! [X0] :
( ~ p10(f11(f13(f15(c20),f14(f4(c20),c21)),c23,c24),X0)
| p18(c20,X0) ),
inference(resolution,[status(thm)],[f68,f32]) ).
fof(f73,plain,
~ p10(f11(f13(f15(c20),f14(f4(c20),c21)),c23,c24),f11(f13(f15(c20),f14(f4(c20),c22)),c23,c24)),
inference(resolution,[status(thm)],[f70,f55]) ).
fof(f81,plain,
( ~ p10(c24,c24)
| ~ p9(c23,c23)
| ~ p2(f13(f15(c20),f14(f4(c20),c21)),f13(f15(c20),f14(f4(c20),c22))) ),
inference(resolution,[status(thm)],[f73,f67]) ).
fof(f83,plain,
( ~ p10(c24,c24)
| ~ p2(f13(f15(c20),f14(f4(c20),c21)),f13(f15(c20),f14(f4(c20),c22))) ),
inference(forward_subsumption_resolution,[status(thm)],[f81,f30]) ).
fof(f90,plain,
~ p2(f13(f15(c20),f14(f4(c20),c21)),f13(f15(c20),f14(f4(c20),c22))),
inference(forward_subsumption_resolution,[status(thm)],[f83,f29]) ).
fof(f91,plain,
( ~ p3(f15(c20),f15(c20))
| ~ p12(f14(f4(c20),c21),f14(f4(c20),c22)) ),
inference(resolution,[status(thm)],[f90,f63]) ).
fof(f93,plain,
~ p12(f14(f4(c20),c21),f14(f4(c20),c22)),
inference(forward_subsumption_resolution,[status(thm)],[f91,f31]) ).
fof(f94,plain,
( ~ p3(c21,c22)
| ~ p3(f4(c20),f4(c20)) ),
inference(resolution,[status(thm)],[f93,f65]) ).
fof(f96,plain,
~ p3(c21,c22),
inference(forward_subsumption_resolution,[status(thm)],[f94,f31]) ).
fof(f103,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f96,f35]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN597-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.35 % Computer : n003.cluster.edu
% 0.07/0.35 % Model : x86_64 x86_64
% 0.07/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35 % Memory : 8046.5625MB
% 0.07/0.35 % OS : Linux 6.8.0-71-generic
% 0.07/0.35 % CPULimit : 300
% 0.07/0.35 % WCLimit : 300
% 0.07/0.35 % DateTime : Mon Sep 21 11:11:01 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.13/0.36 % Drodi V4.1.1
% 0.13/0.38 % Refutation found
% 0.13/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.41 % Elapsed time: 0.052686 seconds
% 0.13/0.41 % CPU time: 0.132163 seconds
% 0.13/0.41 % Total memory used: 38.944 MB
% 0.13/0.41 % Net memory used: 38.732 MB
%------------------------------------------------------------------------------