%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN614-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n013.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 1.06s 0.62s
% Output : CNFRefutation 1.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 10
% Syntax : Number of formulae : 37 ( 17 unt; 0 def)
% Number of atoms : 77 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 95 ( 55 ~; 40 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 9 ( 3 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 21 ( 21 usr; 8 con; 0-2 aty)
% Number of variables : 50 ( 50 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,negated_conjecture,
! [X43] : p7(X43,X43),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
p19(c23,f3(f4(f5(c22)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
p20(c24,f6(f3(f4(f5(c22))),c21)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,negated_conjecture,
p2(c26,f14(f16(c28,f17(c21,c27)),c25)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,negated_conjecture,
! [X44,X45,X43] :
( ~ p7(X43,X45)
| ~ p7(X43,X44)
| p7(X44,X45) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,negated_conjecture,
p19(f6(f3(f4(f5(c22))),f18(c21,f3(f5(c22)))),c24),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f23,negated_conjecture,
! [X54,X55,X56,X57] :
( ~ p7(X55,X57)
| ~ p7(X54,X56)
| p7(f8(X54,X55),f8(X56,X57)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f24,negated_conjecture,
! [X46,X47,X48,X49] :
( ~ p7(X46,X48)
| ~ p2(X47,X49)
| p7(f10(X46,X47),f10(X48,X49)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f29,negated_conjecture,
p7(c25,f8(f10(f12(f11(f3(f5(c22)))),c23),f8(f10(f11(f3(f4(f5(c22)))),c26),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f31,negated_conjecture,
! [X62,X63] :
( ~ p7(c25,f8(f10(f12(f11(f3(f5(c22)))),X62),f8(f10(f11(f3(f4(f5(c22)))),f14(f16(c28,f17(c21,c27)),c25)),f9(f11(X63),f10(f11(f3(f4(f5(c22)))),c27)))))
| ~ p19(f6(f3(f4(f5(c22))),f18(c21,f3(f5(c22)))),X63)
| ~ p20(X63,f6(f3(f4(f5(c22))),c21))
| ~ p19(X62,f3(f4(f5(c22)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f33,plain,
! [X0] : p7(X0,X0),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f37,plain,
p19(c23,f3(f4(f5(c22)))),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f38,plain,
p20(c24,f6(f3(f4(f5(c22))),c21)),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f44,plain,
p2(c26,f14(f16(c28,f17(c21,c27)),c25)),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f47,plain,
! [X45,X43] :
( ~ p7(X43,X45)
| ! [X44] :
( ~ p7(X43,X44)
| p7(X44,X45) ) ),
inference(miniscoping,[status(thm)],[f15]) ).
fof(f48,plain,
! [X0,X1,X2] :
( ~ p7(X2,X1)
| ~ p7(X2,X0)
| p7(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f47]) ).
fof(f53,plain,
p19(f6(f3(f4(f5(c22))),f18(c21,f3(f5(c22)))),c24),
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f62,plain,
! [X55,X57] :
( ~ p7(X55,X57)
| ! [X54,X56] :
( ~ p7(X54,X56)
| p7(f8(X54,X55),f8(X56,X57)) ) ),
inference(miniscoping,[status(thm)],[f23]) ).
fof(f63,plain,
! [X0,X1,X2,X3] :
( ~ p7(X1,X3)
| ~ p7(X0,X2)
| p7(f8(X0,X1),f8(X2,X3)) ),
inference(cnf_transformation,[status(thm)],[f62]) ).
fof(f64,plain,
! [X46,X48] :
( ~ p7(X46,X48)
| ! [X47,X49] :
( ~ p2(X47,X49)
| p7(f10(X46,X47),f10(X48,X49)) ) ),
inference(miniscoping,[status(thm)],[f24]) ).
fof(f65,plain,
! [X0,X1,X2,X3] :
( ~ p7(X0,X2)
| ~ p2(X1,X3)
| p7(f10(X0,X1),f10(X2,X3)) ),
inference(cnf_transformation,[status(thm)],[f64]) ).
fof(f74,plain,
p7(c25,f8(f10(f12(f11(f3(f5(c22)))),c23),f8(f10(f11(f3(f4(f5(c22)))),c26),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27))))),
inference(cnf_transformation,[status(thm)],[f29]) ).
fof(f76,plain,
! [X0,X1] :
( ~ p7(c25,f8(f10(f12(f11(f3(f5(c22)))),X0),f8(f10(f11(f3(f4(f5(c22)))),f14(f16(c28,f17(c21,c27)),c25)),f9(f11(X1),f10(f11(f3(f4(f5(c22)))),c27)))))
| ~ p19(f6(f3(f4(f5(c22))),f18(c21,f3(f5(c22)))),X1)
| ~ p20(X1,f6(f3(f4(f5(c22))),c21))
| ~ p19(X0,f3(f4(f5(c22)))) ),
inference(cnf_transformation,[status(thm)],[f31]) ).
fof(f85,plain,
! [X0,X1,X2] :
( ~ p7(X2,f8(f10(f12(f11(f3(f5(c22)))),X0),f8(f10(f11(f3(f4(f5(c22)))),f14(f16(c28,f17(c21,c27)),c25)),f9(f11(X1),f10(f11(f3(f4(f5(c22)))),c27)))))
| ~ p7(X2,c25)
| ~ p19(f6(f3(f4(f5(c22))),f18(c21,f3(f5(c22)))),X1)
| ~ p20(X1,f6(f3(f4(f5(c22))),c21))
| ~ p19(X0,f3(f4(f5(c22)))) ),
inference(resolution,[status(thm)],[f76,f48]) ).
fof(f87,plain,
! [X0,X1] :
( ~ p7(X1,f8(f10(f12(f11(f3(f5(c22)))),X0),f8(f10(f11(f3(f4(f5(c22)))),f14(f16(c28,f17(c21,c27)),c25)),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27)))))
| ~ p7(X1,c25)
| ~ p19(f6(f3(f4(f5(c22))),f18(c21,f3(f5(c22)))),c24)
| ~ p19(X0,f3(f4(f5(c22)))) ),
inference(resolution,[status(thm)],[f85,f38]) ).
fof(f91,plain,
! [X0,X1] :
( ~ p7(X1,f8(f10(f12(f11(f3(f5(c22)))),X0),f8(f10(f11(f3(f4(f5(c22)))),f14(f16(c28,f17(c21,c27)),c25)),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27)))))
| ~ p7(X1,c25)
| ~ p19(X0,f3(f4(f5(c22)))) ),
inference(forward_subsumption_resolution,[status(thm)],[f87,f53]) ).
fof(f96,plain,
! [X0] :
( ~ p7(X0,f8(f10(f12(f11(f3(f5(c22)))),c23),f8(f10(f11(f3(f4(f5(c22)))),f14(f16(c28,f17(c21,c27)),c25)),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27)))))
| ~ p7(X0,c25) ),
inference(resolution,[status(thm)],[f91,f37]) ).
fof(f108,plain,
! [X0,X1] :
( ~ p7(X1,c25)
| ~ p7(X1,X0)
| ~ p7(X0,f8(f10(f12(f11(f3(f5(c22)))),c23),f8(f10(f11(f3(f4(f5(c22)))),f14(f16(c28,f17(c21,c27)),c25)),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27))))) ),
inference(resolution,[status(thm)],[f96,f48]) ).
fof(f125,plain,
! [X0] :
( ~ p7(c25,X0)
| ~ p7(X0,f8(f10(f12(f11(f3(f5(c22)))),c23),f8(f10(f11(f3(f4(f5(c22)))),f14(f16(c28,f17(c21,c27)),c25)),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27))))) ),
inference(resolution,[status(thm)],[f108,f33]) ).
fof(f154,plain,
~ p7(f8(f10(f12(f11(f3(f5(c22)))),c23),f8(f10(f11(f3(f4(f5(c22)))),c26),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27)))),f8(f10(f12(f11(f3(f5(c22)))),c23),f8(f10(f11(f3(f4(f5(c22)))),f14(f16(c28,f17(c21,c27)),c25)),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27))))),
inference(resolution,[status(thm)],[f125,f74]) ).
fof(f195,plain,
( ~ p7(f8(f10(f11(f3(f4(f5(c22)))),c26),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27))),f8(f10(f11(f3(f4(f5(c22)))),f14(f16(c28,f17(c21,c27)),c25)),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27))))
| ~ p7(f10(f12(f11(f3(f5(c22)))),c23),f10(f12(f11(f3(f5(c22)))),c23)) ),
inference(resolution,[status(thm)],[f154,f63]) ).
fof(f197,plain,
~ p7(f8(f10(f11(f3(f4(f5(c22)))),c26),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27))),f8(f10(f11(f3(f4(f5(c22)))),f14(f16(c28,f17(c21,c27)),c25)),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27)))),
inference(forward_subsumption_resolution,[status(thm)],[f195,f33]) ).
fof(f271,plain,
( ~ p7(f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27)),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27)))
| ~ p7(f10(f11(f3(f4(f5(c22)))),c26),f10(f11(f3(f4(f5(c22)))),f14(f16(c28,f17(c21,c27)),c25))) ),
inference(resolution,[status(thm)],[f197,f63]) ).
fof(f273,plain,
~ p7(f10(f11(f3(f4(f5(c22)))),c26),f10(f11(f3(f4(f5(c22)))),f14(f16(c28,f17(c21,c27)),c25))),
inference(forward_subsumption_resolution,[status(thm)],[f271,f33]) ).
fof(f285,plain,
( ~ p7(f11(f3(f4(f5(c22)))),f11(f3(f4(f5(c22)))))
| ~ p2(c26,f14(f16(c28,f17(c21,c27)),c25)) ),
inference(resolution,[status(thm)],[f273,f65]) ).
fof(f287,plain,
~ p7(f11(f3(f4(f5(c22)))),f11(f3(f4(f5(c22))))),
inference(forward_subsumption_resolution,[status(thm)],[f285,f44]) ).
fof(f295,plain,
$false,
inference(resolution,[status(thm)],[f287,f33]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN614-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n013.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 11:09:51 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.38 % Drodi V4.1.1
% 1.06/0.62 % Refutation found
% 1.06/0.62 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 1.06/0.62 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 1.06/0.68 % Elapsed time: 0.298822 seconds
% 1.06/0.68 % CPU time: 2.010873 seconds
% 1.06/0.68 % Total memory used: 97.556 MB
% 1.06/0.68 % Net memory used: 93.304 MB
%------------------------------------------------------------------------------