%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN704-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n012.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 0.04s 15.35s
% Output : CNFRefutation 0.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 10
% Syntax : Number of formulae : 33 ( 17 unt; 0 def)
% Number of atoms : 62 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 60 ( 31 ~; 29 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 29 ( 29 usr; 11 con; 0-2 aty)
% Number of variables : 77 ( 77 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,negated_conjecture,
! [X162] : p7(X162,X162),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,negated_conjecture,
! [X38] : p2(X38,X38),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f26,negated_conjecture,
p7(c54,c55),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f29,negated_conjecture,
! [X163,X164,X162] :
( ~ p7(X162,X164)
| ~ p7(X162,X163)
| p7(X163,X164) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f52,negated_conjecture,
! [X65,X66,X67,X68] : ~ p47(f20(f22(f24(f26(c56,X65),X66),X67),X68),X68),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f53,negated_conjecture,
! [X151,X152,X153,X154] :
( ~ p4(X153,X151)
| ~ p7(X154,X152)
| ~ p47(X153,X154)
| p47(X151,X152) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f58,negated_conjecture,
! [X126,X127,X128,X129] :
( ~ p3(X127,X129)
| ~ p2(X126,X128)
| p4(f5(X126,X127),f5(X128,X129)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f74,negated_conjecture,
! [X147,X148,X149,X150] :
( ~ p47(f5(c48,f13(f16(f18(c50,X147),X149),X150)),X148)
| p47(X147,X148) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f77,negated_conjecture,
p47(f5(c48,f8(f10(c49,f13(f16(f18(c50,c51),c52),c53)),c54)),c55),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f80,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(c56,X65),X66),X67),X68)),f30(f32(f34(f36(c57,X65),X66),X67),X68)),f40(f42(f44(f46(c58,X65),X66),X67),X68))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f83,plain,
! [X0] : p7(X0,X0),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f100,plain,
! [X0] : p2(X0,X0),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f106,plain,
p7(c54,c55),
inference(cnf_transformation,[status(thm)],[f26]) ).
fof(f111,plain,
! [X164,X162] :
( ~ p7(X162,X164)
| ! [X163] :
( ~ p7(X162,X163)
| p7(X163,X164) ) ),
inference(miniscoping,[status(thm)],[f29]) ).
fof(f112,plain,
! [X0,X1,X2] :
( ~ p7(X2,X1)
| ~ p7(X2,X0)
| p7(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f111]) ).
fof(f157,plain,
! [X0,X1,X2,X3] : ~ p47(f20(f22(f24(f26(c56,X0),X1),X2),X3),X3),
inference(cnf_transformation,[status(thm)],[f52]) ).
fof(f158,plain,
! [X151,X153] :
( ~ p4(X153,X151)
| ! [X152,X154] :
( ~ p7(X154,X152)
| ~ p47(X153,X154)
| p47(X151,X152) ) ),
inference(miniscoping,[status(thm)],[f53]) ).
fof(f159,plain,
! [X0,X1,X2,X3] :
( ~ p4(X2,X0)
| ~ p7(X3,X1)
| ~ p47(X2,X3)
| p47(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f158]) ).
fof(f168,plain,
! [X127,X129] :
( ~ p3(X127,X129)
| ! [X126,X128] :
( ~ p2(X126,X128)
| p4(f5(X126,X127),f5(X128,X129)) ) ),
inference(miniscoping,[status(thm)],[f58]) ).
fof(f169,plain,
! [X0,X1,X2,X3] :
( ~ p3(X1,X3)
| ~ p2(X0,X2)
| p4(f5(X0,X1),f5(X2,X3)) ),
inference(cnf_transformation,[status(thm)],[f168]) ).
fof(f200,plain,
! [X147,X148] :
( ! [X149,X150] : ~ p47(f5(c48,f13(f16(f18(c50,X147),X149),X150)),X148)
| p47(X147,X148) ),
inference(miniscoping,[status(thm)],[f74]) ).
fof(f201,plain,
! [X0,X1,X2,X3] :
( ~ p47(f5(c48,f13(f16(f18(c50,X0),X2),X3)),X1)
| p47(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f200]) ).
fof(f206,plain,
p47(f5(c48,f8(f10(c49,f13(f16(f18(c50,c51),c52),c53)),c54)),c55),
inference(cnf_transformation,[status(thm)],[f77]) ).
fof(f209,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(c56,X0),X1),X2),X3)),f30(f32(f34(f36(c57,X0),X1),X2),X3)),f40(f42(f44(f46(c58,X0),X1),X2),X3))),
inference(cnf_transformation,[status(thm)],[f80]) ).
fof(f212,plain,
! [X0] :
( ~ p7(c54,X0)
| p7(c55,X0) ),
inference(resolution,[status(thm)],[f112,f106]) ).
fof(f215,plain,
p7(c55,c54),
inference(resolution,[status(thm)],[f212,f83]) ).
fof(f248,plain,
! [X0,X1,X2] :
( ~ p3(X1,X2)
| p4(f5(X0,X1),f5(X0,X2)) ),
inference(resolution,[status(thm)],[f169,f100]) ).
fof(f376,plain,
! [X0,X1] :
( ~ p4(f5(c48,f8(f10(c49,f13(f16(f18(c50,c51),c52),c53)),c54)),X0)
| ~ p7(c55,X1)
| p47(X0,X1) ),
inference(resolution,[status(thm)],[f206,f159]) ).
fof(f398,plain,
! [X0,X1,X2,X3,X4] : p4(f5(X0,f8(f10(c49,f13(f16(f18(c50,X1),X2),X3)),X4)),f5(X0,f13(f16(f18(c50,f20(f22(f24(f26(c56,X1),X2),X3),X4)),f30(f32(f34(f36(c57,X1),X2),X3),X4)),f40(f42(f44(f46(c58,X1),X2),X3),X4)))),
inference(resolution,[status(thm)],[f209,f248]) ).
fof(f413,plain,
! [X0] :
( ~ p4(f5(c48,f8(f10(c49,f13(f16(f18(c50,c51),c52),c53)),c54)),X0)
| p47(X0,c54) ),
inference(resolution,[status(thm)],[f376,f215]) ).
fof(f531,plain,
p47(f5(c48,f13(f16(f18(c50,f20(f22(f24(f26(c56,c51),c52),c53),c54)),f30(f32(f34(f36(c57,c51),c52),c53),c54)),f40(f42(f44(f46(c58,c51),c52),c53),c54))),c54),
inference(resolution,[status(thm)],[f413,f398]) ).
fof(f877,plain,
p47(f20(f22(f24(f26(c56,c51),c52),c53),c54),c54),
inference(resolution,[status(thm)],[f531,f201]) ).
fof(f880,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f877,f157]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SYN704-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.02 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.04/15.32 % Computer : n012.cluster.edu
% 0.04/15.32 % Model : x86_64 x86_64
% 0.04/15.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/15.32 % Memory : 8046.5625MB
% 0.04/15.32 % OS : Linux 6.8.0-71-generic
% 0.04/15.32 % CPULimit : 300
% 0.04/15.32 % WCLimit : 300
% 0.04/15.32 % DateTime : Mon Sep 21 11:13:12 UTC 2026
% 0.04/15.32 % CPUTime :
% 0.04/15.33 % Drodi V4.1.1
% 0.04/15.35 % Refutation found
% 0.04/15.35 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.04/15.35 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.04/15.37 % Elapsed time: 0.038169 seconds
% 0.04/15.37 % CPU time: 0.138292 seconds
% 0.04/15.37 % Total memory used: 48.147 MB
% 0.04/15.37 % Net memory used: 47.871 MB
%------------------------------------------------------------------------------