%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SYN656-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n006.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 : Fri Sep 25 03:35:25 PM UTC 2026
% Result : Unsatisfiable 27.65s 3.95s
% Output : Proof 27.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 9
% Syntax : Number of formulae : 46 ( 21 unt; 0 def)
% Number of atoms : 88 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 83 ( 41 ~; 42 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 7 con; 0-2 aty)
% Number of variables : 80 ( 0 sgn 36 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f48,negated_conjecture,
( p25(f5(f7(c28,c29),f13(c31,f15(f17(c33,c34),X63))),f13(c31,c34))
| p3(f13(c31,c34),f13(c31,f15(f17(c33,c34),X63))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_49) ).
fof(f48_nnf,plain,
! [X63] :
( p25(f5(f7(c28,c29),f13(c31,f15(f17(c33,c34),X63))),f13(c31,c34))
| p3(f13(c31,c34),f13(c31,f15(f17(c33,c34),X63))) ),
inference(nnf_transformation,[status(thm)],[f48]) ).
fof(f48_sk,plain,
! [X63] :
( p25(f5(f7(c28,c29),f13(c31,f15(f17(c33,c34),X63))),f13(c31,c34))
| p3(f13(c31,c34),f13(c31,f15(f17(c33,c34),X63))) ),
inference(skolemisation,[status(esa)],[f48_nnf]) ).
cnf(c48,plain,
( p25(f5(f7(c28,c29),f13(c31,f15(f17(c33,c34),X0))),f13(c31,c34))
| p3(f13(c31,c34),f13(c31,f15(f17(c33,c34),X0))) ),
inference(cnf_transformation,[status(esa)],[f48_sk]) ).
cnf(f45,negated_conjecture,
( ~ p25(f5(f7(c28,X55),X62),X57)
| ~ p25(f5(X55,X56),X62)
| p25(f5(f7(c28,X55),X56),X57) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p25_46) ).
fof(f45_nnf,plain,
! [X55,X56,X57,X62] :
( ~ p25(f5(f7(c28,X55),X62),X57)
| ~ p25(f5(X55,X56),X62)
| p25(f5(f7(c28,X55),X56),X57) ),
inference(nnf_transformation,[status(thm)],[f45]) ).
fof(f45_sk,plain,
! [X55,X56,X57,X62] :
( ~ p25(f5(f7(c28,X55),X62),X57)
| ~ p25(f5(X55,X56),X62)
| p25(f5(f7(c28,X55),X56),X57) ),
inference(skolemisation,[status(esa)],[f45_nnf]) ).
cnf(c45,plain,
( ~ p25(f5(f7(c28,X0),X3),X2)
| ~ p25(f5(X0,X1),X3)
| p25(f5(f7(c28,X0),X1),X2) ),
inference(cnf_transformation,[status(esa)],[f45_sk]) ).
cnf(f30,negated_conjecture,
p25(f5(c29,f13(c31,f15(c32,X58))),f13(c31,X58)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p25_31) ).
fof(f30_nnf,plain,
! [X58] : p25(f5(c29,f13(c31,f15(c32,X58))),f13(c31,X58)),
inference(nnf_transformation,[status(thm)],[f30]) ).
fof(f30_sk,plain,
! [X58] : p25(f5(c29,f13(c31,f15(c32,X58))),f13(c31,X58)),
inference(skolemisation,[status(esa)],[f30_nnf]) ).
cnf(c30,plain,
p25(f5(c29,f13(c31,f15(c32,X0))),f13(c31,X0)),
inference(cnf_transformation,[status(esa)],[f30_sk]) ).
cnf(p64,plain,
( ~ p25(f5(f7(c28,c29),f13(c31,X0)),X1)
| p25(f5(f7(c28,c29),f13(c31,f15(c32,X0))),X1) ),
inference(resolution,[status(thm)],[c45,c30]) ).
cnf(p102,plain,
( p25(f5(f7(c28,c29),f13(c31,f15(c32,f15(f17(c33,c34),X0)))),f13(c31,c34))
| p3(f13(c31,c34),f13(c31,f15(f17(c33,c34),X0))) ),
inference(resolution,[status(thm)],[c48,p64]) ).
cnf(f44,negated_conjecture,
~ p25(f5(f7(c28,c29),f13(c31,f15(c32,f15(f17(c33,c34),c35)))),f13(c31,c34)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p25_45) ).
fof(f44_nnf,plain,
~ p25(f5(f7(c28,c29),f13(c31,f15(c32,f15(f17(c33,c34),c35)))),f13(c31,c34)),
inference(nnf_transformation,[status(thm)],[f44]) ).
fof(f44_sk,plain,
~ p25(f5(f7(c28,c29),f13(c31,f15(c32,f15(f17(c33,c34),c35)))),f13(c31,c34)),
inference(skolemisation,[status(esa)],[f44_nnf]) ).
cnf(c44,plain,
~ p25(f5(f7(c28,c29),f13(c31,f15(c32,f15(f17(c33,c34),c35)))),f13(c31,c34)),
inference(cnf_transformation,[status(esa)],[f44_sk]) ).
cnf(p172,plain,
p3(f13(c31,c34),f13(c31,f15(f17(c33,c34),c35))),
inference(resolution,[status(thm)],[p102,c44]) ).
cnf(f21,negated_conjecture,
( ~ p3(X64,X66)
| ~ p3(X64,X65)
| p3(X65,X66) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_22) ).
fof(f21_nnf,plain,
! [X65,X66,X64] :
( ~ p3(X64,X66)
| ~ p3(X64,X65)
| p3(X65,X66) ),
inference(nnf_transformation,[status(thm)],[f21]) ).
fof(f21_sk,plain,
! [X65,X66,X64] :
( ~ p3(X64,X66)
| ~ p3(X64,X65)
| p3(X65,X66) ),
inference(skolemisation,[status(esa)],[f21_nnf]) ).
cnf(c21,plain,
( ~ p3(X2,X1)
| ~ p3(X2,X0)
| p3(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f21_sk]) ).
cnf(p177,plain,
( ~ p3(f13(c31,c34),X0)
| p3(f13(c31,f15(f17(c33,c34),c35)),X0) ),
inference(resolution,[status(thm)],[p172,c21]) ).
cnf(f5,negated_conjecture,
p3(X64,X64),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_6) ).
fof(f5_nnf,plain,
! [X64] : p3(X64,X64),
inference(nnf_transformation,[status(thm)],[f5]) ).
fof(f5_sk,plain,
! [X64] : p3(X64,X64),
inference(skolemisation,[status(esa)],[f5_nnf]) ).
cnf(c5,plain,
p3(X0,X0),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(p183,plain,
p3(f13(c31,f15(f17(c33,c34),c35)),f13(c31,c34)),
inference(resolution,[status(thm)],[p177,c5]) ).
cnf(f34,negated_conjecture,
( ~ p25(X53,X54)
| ~ p4(X53,X51)
| ~ p3(X54,X52)
| p25(X51,X52) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p25_35) ).
fof(f34_nnf,plain,
! [X51,X52,X54,X53] :
( ~ p25(X53,X54)
| ~ p4(X53,X51)
| ~ p3(X54,X52)
| p25(X51,X52) ),
inference(nnf_transformation,[status(thm)],[f34]) ).
fof(f34_sk,plain,
! [X51,X52,X54,X53] :
( ~ p25(X53,X54)
| ~ p4(X53,X51)
| ~ p3(X54,X52)
| p25(X51,X52) ),
inference(skolemisation,[status(esa)],[f34_nnf]) ).
cnf(c34,plain,
( ~ p25(X3,X2)
| ~ p4(X3,X0)
| ~ p3(X2,X1)
| p25(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f34_sk]) ).
cnf(p188,plain,
( ~ p25(X1,f13(c31,f15(f17(c33,c34),c35)))
| ~ p4(X1,X0)
| p25(X0,f13(c31,c34)) ),
inference(resolution,[status(thm)],[p183,c34]) ).
cnf(f4,negated_conjecture,
p4(X75,X75),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_5) ).
fof(f4_nnf,plain,
! [X75] : p4(X75,X75),
inference(nnf_transformation,[status(thm)],[f4]) ).
fof(f4_sk,plain,
! [X75] : p4(X75,X75),
inference(skolemisation,[status(esa)],[f4_nnf]) ).
cnf(c4,plain,
p4(X0,X0),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(p267,plain,
( ~ p25(X0,f13(c31,f15(f17(c33,c34),c35)))
| p25(X0,f13(c31,c34)) ),
inference(resolution,[status(thm)],[p188,c4]) ).
cnf(f31,negated_conjecture,
( ~ p25(f5(X55,X56),X57)
| p25(f5(f7(c28,X55),X56),X57) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p25_32) ).
fof(f31_nnf,plain,
! [X55,X56,X57] :
( ~ p25(f5(X55,X56),X57)
| p25(f5(f7(c28,X55),X56),X57) ),
inference(nnf_transformation,[status(thm)],[f31]) ).
fof(f31_sk,plain,
! [X55,X56,X57] :
( ~ p25(f5(X55,X56),X57)
| p25(f5(f7(c28,X55),X56),X57) ),
inference(skolemisation,[status(esa)],[f31_nnf]) ).
cnf(c31,plain,
( ~ p25(f5(X0,X1),X2)
| p25(f5(f7(c28,X0),X1),X2) ),
inference(cnf_transformation,[status(esa)],[f31_sk]) ).
cnf(p49,plain,
p25(f5(f7(c28,c29),f13(c31,f15(c32,X0))),f13(c31,X0)),
inference(resolution,[status(thm)],[c31,c30]) ).
cnf(p271,plain,
p25(f5(f7(c28,c29),f13(c31,f15(c32,f15(f17(c33,c34),c35)))),f13(c31,c34)),
inference(resolution,[status(thm)],[p267,p49]) ).
cnf(p311,plain,
$false,
inference(resolution,[status(thm)],[p271,c44]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN656-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.09/0.36 % Computer : n006.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Fri Sep 25 01:59:56 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 27.65/3.95 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 27.65/3.95 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------