%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : KRS069+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 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 : Fri Sep 25 01:52:59 PM UTC 2026
% Result : Unsatisfiable 2.37s 0.79s
% Output : Proof 2.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 6
% Syntax : Number of formulae : 41 ( 15 unt; 0 def)
% Number of atoms : 104 ( 12 equ)
% Maximal formula atoms : 14 ( 2 avg)
% Number of connectives : 106 ( 43 ~; 39 |; 19 &)
% ( 1 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-1 aty)
% Number of variables : 60 ( 0 sgn 37 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f17,axiom,
! [X,Y,Z] :
( ( rf2(X,Z)
& rf2(X,Y) )
=> Y = Z ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
fof(f17_nnf,plain,
! [X,Y,Z] :
( Y = Z
| ~ rf2(X,Z)
| ~ rf2(X,Y) ),
inference(nnf_transformation,[status(thm)],[f17]) ).
fof(f17_sk,plain,
! [X,Y,Z] :
( Y = Z
| ~ rf2(X,Z)
| ~ rf2(X,Y) ),
inference(skolemisation,[status(esa)],[f17_nnf]) ).
cnf(c25,plain,
( X1 = X2
| ~ rf2(X0,X2)
| ~ rf2(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f17_sk]) ).
fof(f15,axiom,
! [X] :
( cUnsatisfiable(X)
<=> ( ? [Y] :
( cp2(Y)
& rf3(X,Y) )
& ? [Y] :
( ~ cp1(Y)
& rf2(X,Y) )
& ? [Y] :
( cp1(Y)
& rf1(X,Y) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(f15_nnf,plain,
! [X] :
( ( ! [Y] :
( ~ cp2(Y)
| ~ rf3(X,Y) )
| ! [Y] :
( cp1(Y)
| ~ rf2(X,Y) )
| ! [Y] :
( ~ cp1(Y)
| ~ rf1(X,Y) )
| cUnsatisfiable(X) )
& ( ( ? [Y] :
( cp2(Y)
& rf3(X,Y) )
& ? [Y] :
( ~ cp1(Y)
& rf2(X,Y) )
& ? [Y] :
( cp1(Y)
& rf1(X,Y) ) )
| ~ cUnsatisfiable(X) ) ),
inference(nnf_transformation,[status(thm)],[f15]) ).
fof(f15_sk,plain,
! [X,Y] :
( ( ~ cp2(Y)
| ~ rf3(X,Y)
| cp1(Y)
| ~ rf2(X,Y)
| ~ cp1(Y)
| ~ rf1(X,Y)
| cUnsatisfiable(X) )
& ( ( cp2(sk2(X))
& rf3(X,sk2(X))
& ~ cp1(sk1(X))
& rf2(X,sk1(X))
& cp1(sk0(X))
& rf1(X,sk0(X)) )
| ~ cUnsatisfiable(X) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk0,sk1,sk2])],[f15_nnf]) ).
cnf(c19,plain,
( rf2(X0,sk1(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(esa)],[f15_sk]) ).
fof(f19,axiom,
cUnsatisfiable(i2003_11_14_17_18_2750),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).
fof(f19_nnf,plain,
cUnsatisfiable(i2003_11_14_17_18_2750),
inference(nnf_transformation,[status(thm)],[f19]) ).
cnf(c27,plain,
cUnsatisfiable(i2003_11_14_17_18_2750),
inference(cnf_transformation,[status(esa)],[f19_nnf]) ).
cnf(p34,plain,
rf2(i2003_11_14_17_18_2750,sk1(i2003_11_14_17_18_2750)),
inference(resolution,[status(thm)],[c19,c27]) ).
cnf(p54,plain,
( sk1(i2003_11_14_17_18_2750) = X0
| ~ rf2(i2003_11_14_17_18_2750,X0) ),
inference(resolution,[status(thm)],[c25,p34]) ).
fof(f16,axiom,
! [X,Y,Z] :
( ( rf1(X,Z)
& rf1(X,Y) )
=> Y = Z ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
fof(f16_nnf,plain,
! [X,Y,Z] :
( Y = Z
| ~ rf1(X,Z)
| ~ rf1(X,Y) ),
inference(nnf_transformation,[status(thm)],[f16]) ).
fof(f16_sk,plain,
! [X,Y,Z] :
( Y = Z
| ~ rf1(X,Z)
| ~ rf1(X,Y) ),
inference(skolemisation,[status(esa)],[f16_nnf]) ).
cnf(c24,plain,
( X1 = X2
| ~ rf1(X0,X2)
| ~ rf1(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f16_sk]) ).
cnf(c17,plain,
( rf1(X0,sk0(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(esa)],[f15_sk]) ).
cnf(p33,plain,
rf1(i2003_11_14_17_18_2750,sk0(i2003_11_14_17_18_2750)),
inference(resolution,[status(thm)],[c17,c27]) ).
cnf(p38,plain,
( sk0(i2003_11_14_17_18_2750) = X0
| ~ rf1(i2003_11_14_17_18_2750,X0) ),
inference(resolution,[status(thm)],[c24,p33]) ).
fof(f20,axiom,
! [X,Y] :
( rf3(X,Y)
=> rf1(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).
fof(f20_nnf,plain,
! [X,Y] :
( rf1(X,Y)
| ~ rf3(X,Y) ),
inference(nnf_transformation,[status(thm)],[f20]) ).
fof(f20_sk,plain,
! [X,Y] :
( rf1(X,Y)
| ~ rf3(X,Y) ),
inference(skolemisation,[status(esa)],[f20_nnf]) ).
cnf(c28,plain,
( rf1(X0,X1)
| ~ rf3(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f20_sk]) ).
cnf(c21,plain,
( rf3(X0,sk2(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(esa)],[f15_sk]) ).
cnf(p35,plain,
rf3(i2003_11_14_17_18_2750,sk2(i2003_11_14_17_18_2750)),
inference(resolution,[status(thm)],[c21,c27]) ).
cnf(p36,plain,
rf1(i2003_11_14_17_18_2750,sk2(i2003_11_14_17_18_2750)),
inference(resolution,[status(thm)],[c28,p35]) ).
cnf(p40,plain,
sk0(i2003_11_14_17_18_2750) = sk2(i2003_11_14_17_18_2750),
inference(resolution,[status(thm)],[p38,p36]) ).
fof(f21,axiom,
! [X,Y] :
( rf3(X,Y)
=> rf2(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_8) ).
fof(f21_nnf,plain,
! [X,Y] :
( rf2(X,Y)
| ~ rf3(X,Y) ),
inference(nnf_transformation,[status(thm)],[f21]) ).
fof(f21_sk,plain,
! [X,Y] :
( rf2(X,Y)
| ~ rf3(X,Y) ),
inference(skolemisation,[status(esa)],[f21_nnf]) ).
cnf(c29,plain,
( rf2(X0,X1)
| ~ rf3(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f21_sk]) ).
cnf(p37,plain,
rf2(i2003_11_14_17_18_2750,sk2(i2003_11_14_17_18_2750)),
inference(resolution,[status(thm)],[c29,p35]) ).
cnf(p45,plain,
rf2(i2003_11_14_17_18_2750,sk0(i2003_11_14_17_18_2750)),
inference(superposition,[status(thm)],[p40,p37]) ).
cnf(p63,plain,
sk1(i2003_11_14_17_18_2750) = sk0(i2003_11_14_17_18_2750),
inference(resolution,[status(thm)],[p54,p45]) ).
cnf(c20,plain,
( ~ cp1(sk1(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(esa)],[f15_sk]) ).
cnf(p31,plain,
~ cp1(sk1(i2003_11_14_17_18_2750)),
inference(resolution,[status(thm)],[c20,c27]) ).
cnf(p64,plain,
~ cp1(sk0(i2003_11_14_17_18_2750)),
inference(demodulation,[status(thm)],[p63,p31]) ).
cnf(c18,plain,
( cp1(sk0(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(esa)],[f15_sk]) ).
cnf(p30,plain,
cp1(sk0(i2003_11_14_17_18_2750)),
inference(resolution,[status(thm)],[c18,c27]) ).
cnf(p65,plain,
$false,
inference(resolution,[status(thm)],[p64,p30]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS069+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.08/0.37 % Computer : n007.cluster.edu
% 0.08/0.37 % Model : x86_64 x86_64
% 0.08/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.37 % Memory : 8046.5625MB
% 0.08/0.37 % OS : Linux 6.8.0-71-generic
% 0.08/0.37 % CPULimit : 300
% 0.08/0.37 % WCLimit : 300
% 0.08/0.37 % DateTime : Wed Sep 23 19:17:08 UTC 2026
% 0.08/0.37 % CPUTime :
% 0.08/0.37 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 2.37/0.79 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.37/0.79 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------