%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN702-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n007.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 03:17:07 PM UTC 2026
% Result : Unsatisfiable 0.11s 0.38s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of formulae : 26 ( 12 unt; 0 def)
% Number of atoms : 51 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 52 ( 27 ~; 25 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 28 ( 28 usr; 10 con; 0-2 aty)
% Number of variables : 65 ( 65 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,negated_conjecture,
! [X162] : p7(X162,X162),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,negated_conjecture,
! [X38] : p2(X38,X38),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f51,negated_conjecture,
! [X65,X66,X67,X68] : ~ p47(f20(f22(f24(f26(c55,X65),X66),X67),X68),X68),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f52,negated_conjecture,
! [X151,X152,X153,X154] :
( ~ p4(X153,X151)
| ~ p7(X154,X152)
| ~ p47(X153,X154)
| p47(X151,X152) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f57,negated_conjecture,
! [X126,X127,X128,X129] :
( ~ p3(X127,X129)
| ~ p2(X126,X128)
| p4(f5(X126,X127),f5(X128,X129)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f73,negated_conjecture,
! [X147,X148,X149,X150] :
( ~ p47(f5(c48,f13(f16(f18(c50,X147),X149),X150)),X148)
| p47(X147,X148) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f76,negated_conjecture,
p47(f5(c48,f8(f10(c49,f13(f16(f18(c50,c51),c52),c53)),c54)),c54),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f79,negated_conjecture,
! [X65,X66,X67,X68] : p3(f8(f10(c49,f13(f16(f18(c50,X65),X66),X67)),X68),f13(f16(f18(c50,f20(f22(f24(f26(c55,X65),X66),X67),X68)),f30(f32(f34(f36(c56,X65),X66),X67),X68)),f40(f42(f44(f46(c57,X65),X66),X67),X68))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f82,plain,
! [X0] : p7(X0,X0),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f99,plain,
! [X0] : p2(X0,X0),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f155,plain,
! [X0,X1,X2,X3] : ~ p47(f20(f22(f24(f26(c55,X0),X1),X2),X3),X3),
inference(cnf_transformation,[status(thm)],[f51]) ).
fof(f156,plain,
! [X151,X153] :
( ~ p4(X153,X151)
| ! [X152,X154] :
( ~ p7(X154,X152)
| ~ p47(X153,X154)
| p47(X151,X152) ) ),
inference(miniscoping,[status(thm)],[f52]) ).
fof(f157,plain,
! [X0,X1,X2,X3] :
( ~ p4(X2,X0)
| ~ p7(X3,X1)
| ~ p47(X2,X3)
| p47(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f156]) ).
fof(f166,plain,
! [X127,X129] :
( ~ p3(X127,X129)
| ! [X126,X128] :
( ~ p2(X126,X128)
| p4(f5(X126,X127),f5(X128,X129)) ) ),
inference(miniscoping,[status(thm)],[f57]) ).
fof(f167,plain,
! [X0,X1,X2,X3] :
( ~ p3(X1,X3)
| ~ p2(X0,X2)
| p4(f5(X0,X1),f5(X2,X3)) ),
inference(cnf_transformation,[status(thm)],[f166]) ).
fof(f198,plain,
! [X147,X148] :
( ! [X149,X150] : ~ p47(f5(c48,f13(f16(f18(c50,X147),X149),X150)),X148)
| p47(X147,X148) ),
inference(miniscoping,[status(thm)],[f73]) ).
fof(f199,plain,
! [X0,X1,X2,X3] :
( ~ p47(f5(c48,f13(f16(f18(c50,X0),X2),X3)),X1)
| p47(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f198]) ).
fof(f204,plain,
p47(f5(c48,f8(f10(c49,f13(f16(f18(c50,c51),c52),c53)),c54)),c54),
inference(cnf_transformation,[status(thm)],[f76]) ).
fof(f207,plain,
! [X0,X1,X2,X3] : p3(f8(f10(c49,f13(f16(f18(c50,X0),X1),X2)),X3),f13(f16(f18(c50,f20(f22(f24(f26(c55,X0),X1),X2),X3)),f30(f32(f34(f36(c56,X0),X1),X2),X3)),f40(f42(f44(f46(c57,X0),X1),X2),X3))),
inference(cnf_transformation,[status(thm)],[f79]) ).
fof(f209,plain,
! [X0,X1] :
( ~ p4(f5(c48,f8(f10(c49,f13(f16(f18(c50,c51),c52),c53)),c54)),X0)
| ~ p7(c54,X1)
| p47(X0,X1) ),
inference(resolution,[status(thm)],[f204,f157]) ).
fof(f211,plain,
! [X0] :
( ~ p4(f5(c48,f8(f10(c49,f13(f16(f18(c50,c51),c52),c53)),c54)),X0)
| p47(X0,c54) ),
inference(resolution,[status(thm)],[f209,f82]) ).
fof(f212,plain,
! [X0,X1] :
( ~ p3(f8(f10(c49,f13(f16(f18(c50,c51),c52),c53)),c54),X1)
| ~ p2(c48,X0)
| p47(f5(X0,X1),c54) ),
inference(resolution,[status(thm)],[f211,f167]) ).
fof(f216,plain,
! [X0] :
( ~ p3(f8(f10(c49,f13(f16(f18(c50,c51),c52),c53)),c54),X0)
| p47(f5(c48,X0),c54) ),
inference(resolution,[status(thm)],[f212,f99]) ).
fof(f222,plain,
! [X0,X1,X2] :
( p47(X0,c54)
| ~ p3(f8(f10(c49,f13(f16(f18(c50,c51),c52),c53)),c54),f13(f16(f18(c50,X0),X1),X2)) ),
inference(resolution,[status(thm)],[f216,f199]) ).
fof(f231,plain,
p47(f20(f22(f24(f26(c55,c51),c52),c53),c54),c54),
inference(resolution,[status(thm)],[f222,f207]) ).
fof(f233,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f231,f155]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN702-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.34 % Computer : n007.cluster.edu
% 0.07/0.34 % Model : x86_64 x86_64
% 0.07/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.34 % Memory : 8046.5625MB
% 0.07/0.34 % OS : Linux 6.8.0-71-generic
% 0.07/0.34 % CPULimit : 300
% 0.07/0.34 % WCLimit : 300
% 0.07/0.34 % DateTime : Mon Sep 21 11:11:07 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.11/0.36 % Drodi V4.1.1
% 0.11/0.38 % Refutation found
% 0.11/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.11/0.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.11/0.41 % Elapsed time: 0.054442 seconds
% 0.11/0.41 % CPU time: 0.166556 seconds
% 0.11/0.41 % Total memory used: 59.174 MB
% 0.11/0.41 % Net memory used: 59.084 MB
%------------------------------------------------------------------------------