%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : COM016+4 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n001.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 01:03:30 PM UTC 2026
% Result : Theorem 8.29s 1.69s
% Output : Proof 8.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 3
% Syntax : Number of formulae : 24 ( 5 unt; 0 def)
% Number of atoms : 100 ( 5 equ)
% Maximal formula atoms : 10 ( 4 avg)
% Number of connectives : 107 ( 31 ~; 33 |; 43 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 14 ( 0 sgn 4 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f18,hypothesis,
( sdtmndtplgtdt0(xa,xR,xc)
& ( ? [W0] :
( sdtmndtplgtdt0(W0,xR,xc)
& aReductOfIn0(W0,xa,xR)
& aElement0(W0) )
| aReductOfIn0(xc,xa,xR) )
& sdtmndtplgtdt0(xa,xR,xb)
& ( ? [W0] :
( sdtmndtplgtdt0(W0,xR,xb)
& aReductOfIn0(W0,xa,xR)
& aElement0(W0) )
| aReductOfIn0(xb,xa,xR) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__731_02) ).
fof(f18_nnf,plain,
( sdtmndtplgtdt0(xa,xR,xc)
& ( ? [W0] :
( sdtmndtplgtdt0(W0,xR,xc)
& aReductOfIn0(W0,xa,xR)
& aElement0(W0) )
| aReductOfIn0(xc,xa,xR) )
& sdtmndtplgtdt0(xa,xR,xb)
& ( ? [W0] :
( sdtmndtplgtdt0(W0,xR,xb)
& aReductOfIn0(W0,xa,xR)
& aElement0(W0) )
| aReductOfIn0(xb,xa,xR) ) ),
inference(nnf_transformation,[status(thm)],[f18]) ).
fof(f18_sk,plain,
( sdtmndtplgtdt0(xa,xR,xc)
& ( ( sdtmndtplgtdt0(sk20,xR,xc)
& aReductOfIn0(sk20,xa,xR)
& aElement0(sk20) )
| aReductOfIn0(xc,xa,xR) )
& sdtmndtplgtdt0(xa,xR,xb)
& ( ( sdtmndtplgtdt0(sk19,xR,xb)
& aReductOfIn0(sk19,xa,xR)
& aElement0(sk19) )
| aReductOfIn0(xb,xa,xR) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk19,sk20])],[f18_nnf]) ).
cnf(c340,plain,
( sdtmndtplgtdt0(sk19,xR,xb)
| aReductOfIn0(xb,xa,xR) ),
inference(cnf_transformation,[status(esa)],[f18_sk]) ).
cnf(c339,plain,
( aReductOfIn0(sk19,xa,xR)
| aReductOfIn0(xb,xa,xR) ),
inference(cnf_transformation,[status(esa)],[f18_sk]) ).
fof(f19,conjecture,
? [W0] :
( ( sdtmndtasgtdt0(W0,xR,xb)
| sdtmndtplgtdt0(W0,xR,xb)
| ? [W1] :
( sdtmndtplgtdt0(W1,xR,xb)
& aReductOfIn0(W1,W0,xR)
& aElement0(W1) )
| aReductOfIn0(xb,W0,xR)
| W0 = xb )
& aReductOfIn0(W0,xa,xR)
& aElement0(W0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f19_neg,negated_conjecture,
~ ? [W0] :
( ( sdtmndtasgtdt0(W0,xR,xb)
| sdtmndtplgtdt0(W0,xR,xb)
| ? [W1] :
( sdtmndtplgtdt0(W1,xR,xb)
& aReductOfIn0(W1,W0,xR)
& aElement0(W1) )
| aReductOfIn0(xb,W0,xR)
| W0 = xb )
& aReductOfIn0(W0,xa,xR)
& aElement0(W0) ),
inference(negated_conjecture,[status(cth)],[f19]) ).
fof(f19_nnf,plain,
! [W0] :
( ( ~ sdtmndtasgtdt0(W0,xR,xb)
& ~ sdtmndtplgtdt0(W0,xR,xb)
& ! [W1] :
( ~ sdtmndtplgtdt0(W1,xR,xb)
| ~ aReductOfIn0(W1,W0,xR)
| ~ aElement0(W1) )
& ~ aReductOfIn0(xb,W0,xR)
& W0 != xb )
| ~ aReductOfIn0(W0,xa,xR)
| ~ aElement0(W0) ),
inference(nnf_transformation,[status(thm)],[f19_neg]) ).
fof(f19_sk,plain,
! [W0,W1] :
( ( ~ sdtmndtasgtdt0(W0,xR,xb)
& ~ sdtmndtplgtdt0(W0,xR,xb)
& ( ~ sdtmndtplgtdt0(W1,xR,xb)
| ~ aReductOfIn0(W1,W0,xR)
| ~ aElement0(W1) )
& ~ aReductOfIn0(xb,W0,xR)
& W0 != xb )
| ~ aReductOfIn0(W0,xa,xR)
| ~ aElement0(W0) ),
inference(skolemisation,[status(esa)],[f19_nnf]) ).
cnf(c349,plain,
( ~ sdtmndtplgtdt0(X0,xR,xb)
| ~ aReductOfIn0(X0,xa,xR)
| ~ aElement0(X0) ),
inference(cnf_transformation,[status(esa)],[f19_sk]) ).
cnf(c338,plain,
( aElement0(sk19)
| aReductOfIn0(xb,xa,xR) ),
inference(cnf_transformation,[status(esa)],[f18_sk]) ).
fof(f16,hypothesis,
( aElement0(xc)
& aElement0(xb)
& aElement0(xa) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__731) ).
fof(f16_nnf,plain,
( aElement0(xc)
& aElement0(xb)
& aElement0(xa) ),
inference(nnf_transformation,[status(thm)],[f16]) ).
fof(f16_sk,plain,
( aElement0(xc)
& aElement0(xb)
& aElement0(xa) ),
inference(skolemisation,[status(esa)],[f16_nnf]) ).
cnf(c61,plain,
aElement0(xb),
inference(cnf_transformation,[status(esa)],[f16_sk]) ).
cnf(c346,plain,
( X0 != xb
| ~ aReductOfIn0(X0,xa,xR)
| ~ aElement0(X0) ),
inference(cnf_transformation,[status(esa)],[f19_sk]) ).
cnf(p351,plain,
( ~ aReductOfIn0(xb,xa,xR)
| ~ aElement0(xb) ),
inference(equality_resolution,[status(thm)],[c346]) ).
cnf(p356,plain,
~ aReductOfIn0(xb,xa,xR),
inference(resolution,[status(thm)],[c61,p351]) ).
cnf(p362,plain,
aElement0(sk19),
inference(resolution,[status(thm)],[c338,p356]) ).
cnf(p369,plain,
( ~ sdtmndtplgtdt0(sk19,xR,xb)
| ~ aReductOfIn0(sk19,xa,xR) ),
inference(resolution,[status(thm)],[c349,p362]) ).
cnf(p401,plain,
( ~ sdtmndtplgtdt0(sk19,xR,xb)
| aReductOfIn0(xb,xa,xR) ),
inference(resolution,[status(thm)],[c339,p369]) ).
cnf(p408,plain,
( aReductOfIn0(xb,xa,xR)
| aReductOfIn0(xb,xa,xR) ),
inference(resolution,[status(thm)],[c340,p401]) ).
cnf(p409,plain,
aReductOfIn0(xb,xa,xR),
inference(factoring,[status(thm)],[p408]) ).
cnf(p410,plain,
$false,
inference(resolution,[status(thm)],[p409,p356]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COM016+4 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.11/0.38 % Computer : n001.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Fri Sep 25 07:53:25 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 8.29/1.69 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.29/1.69 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------