%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : KRS086+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n010.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 01:53:01 PM UTC 2026
% Result : Unsatisfiable 3.41s 6.09s
% Output : Proof 3.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of formulae : 32 ( 12 unt; 0 def)
% Number of atoms : 89 ( 7 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 97 ( 40 ~; 33 |; 20 &)
% ( 2 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 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 : 47 ( 1 sgn 27 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f21,axiom,
cUnsatisfiable(i2003_11_14_17_19_42328),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).
fof(f21_nnf,plain,
cUnsatisfiable(i2003_11_14_17_19_42328),
inference(nnf_transformation,[status(thm)],[f21]) ).
cnf(c30,plain,
cUnsatisfiable(i2003_11_14_17_19_42328),
inference(cnf_transformation,[status(esa)],[f21_nnf]) ).
fof(f16,axiom,
! [X] :
( cUnsatisfiable(X)
<=> ? [Y] :
( cp1(Y)
& ? [Z] :
( ? [W] :
( ~ cp1(W)
& rf(Z,W) )
& rinvF(Y,Z) )
& rf(X,Y) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(f16_nnf,plain,
! [X] :
( ( ! [Y] :
( ~ cp1(Y)
| ! [Z] :
( ! [W] :
( cp1(W)
| ~ rf(Z,W) )
| ~ rinvF(Y,Z) )
| ~ rf(X,Y) )
| cUnsatisfiable(X) )
& ( ? [Y] :
( cp1(Y)
& ? [Z] :
( ? [W] :
( ~ cp1(W)
& rf(Z,W) )
& rinvF(Y,Z) )
& rf(X,Y) )
| ~ cUnsatisfiable(X) ) ),
inference(nnf_transformation,[status(thm)],[f16]) ).
fof(f16_sk,plain,
! [X,Y,Z,W] :
( ( ~ cp1(Y)
| cp1(W)
| ~ rf(Z,W)
| ~ rinvF(Y,Z)
| ~ rf(X,Y)
| cUnsatisfiable(X) )
& ( ( cp1(sk0(X))
& ~ cp1(sk2(X))
& rf(sk1(X),sk2(X))
& rinvF(sk0(X),sk1(X))
& rf(X,sk0(X)) )
| ~ cUnsatisfiable(X) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk0,sk1,sk2])],[f16_nnf]) ).
cnf(c20,plain,
( rf(sk1(X0),sk2(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(esa)],[f16_sk]) ).
cnf(p34,plain,
rf(sk1(i2003_11_14_17_19_42328),sk2(i2003_11_14_17_19_42328)),
inference(resolution,[status(thm)],[c30,c20]) ).
fof(f17,axiom,
! [X] :
( cowlThing(X)
=> ! [Y0,Y1] :
( ( rf(X,Y1)
& rf(X,Y0) )
=> Y0 = Y1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
fof(f17_nnf,plain,
! [X] :
( ! [Y0,Y1] :
( Y0 = Y1
| ~ rf(X,Y1)
| ~ rf(X,Y0) )
| ~ cowlThing(X) ),
inference(nnf_transformation,[status(thm)],[f17]) ).
fof(f17_sk,plain,
! [X,Y0,Y1] :
( Y0 = Y1
| ~ rf(X,Y1)
| ~ rf(X,Y0)
| ~ cowlThing(X) ),
inference(skolemisation,[status(esa)],[f17_nnf]) ).
cnf(c24,plain,
( X1 = X2
| ~ rf(X0,X2)
| ~ rf(X0,X1)
| ~ cowlThing(X0) ),
inference(cnf_transformation,[status(esa)],[f17_sk]) ).
fof(f14,axiom,
! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_0) ).
fof(f14_nnf,plain,
! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ),
inference(nnf_transformation,[status(thm)],[f14]) ).
fof(f14_sk,plain,
! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ),
inference(skolemisation,[status(esa)],[f14_nnf]) ).
cnf(c14,plain,
cowlThing(X0),
inference(cnf_transformation,[status(esa)],[f14_sk]) ).
cnf(p31,plain,
( X1 = X2
| ~ rf(X0,X2)
| ~ rf(X0,X1) ),
inference(resolution,[status(thm)],[c24,c14]) ).
cnf(p41,plain,
( sk2(i2003_11_14_17_19_42328) = X0
| ~ rf(sk1(i2003_11_14_17_19_42328),X0) ),
inference(resolution,[status(thm)],[p34,p31]) ).
cnf(c19,plain,
( rinvF(sk0(X0),sk1(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(esa)],[f16_sk]) ).
cnf(p33,plain,
rinvF(sk0(i2003_11_14_17_19_42328),sk1(i2003_11_14_17_19_42328)),
inference(resolution,[status(thm)],[c30,c19]) ).
fof(f18,axiom,
! [X,Y] :
( rinvF(X,Y)
<=> rf(Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).
fof(f18_nnf,plain,
! [X,Y] :
( ( ~ rf(Y,X)
| rinvF(X,Y) )
& ( rf(Y,X)
| ~ rinvF(X,Y) ) ),
inference(nnf_transformation,[status(thm)],[f18]) ).
fof(f18_sk,plain,
! [X,Y] :
( ( ~ rf(Y,X)
| rinvF(X,Y) )
& ( rf(Y,X)
| ~ rinvF(X,Y) ) ),
inference(skolemisation,[status(esa)],[f18_nnf]) ).
cnf(c25,plain,
( rf(X1,X0)
| ~ rinvF(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f18_sk]) ).
cnf(p39,plain,
rf(sk1(i2003_11_14_17_19_42328),sk0(i2003_11_14_17_19_42328)),
inference(resolution,[status(thm)],[p33,c25]) ).
cnf(p44,plain,
sk2(i2003_11_14_17_19_42328) = sk0(i2003_11_14_17_19_42328),
inference(resolution,[status(thm)],[p41,p39]) ).
cnf(c21,plain,
( ~ cp1(sk2(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(esa)],[f16_sk]) ).
cnf(p35,plain,
~ cp1(sk2(i2003_11_14_17_19_42328)),
inference(resolution,[status(thm)],[c30,c21]) ).
cnf(p45,plain,
~ cp1(sk0(i2003_11_14_17_19_42328)),
inference(demodulation,[status(thm)],[p44,p35]) ).
cnf(c22,plain,
( cp1(sk0(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(esa)],[f16_sk]) ).
cnf(p36,plain,
cp1(sk0(i2003_11_14_17_19_42328)),
inference(resolution,[status(thm)],[c30,c22]) ).
cnf(p46,plain,
$false,
inference(resolution,[status(thm)],[p45,p36]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS086+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.09/5.37 % Computer : n010.cluster.edu
% 0.09/5.37 % Model : x86_64 x86_64
% 0.09/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.37 % Memory : 8046.5625MB
% 0.09/5.37 % OS : Linux 6.8.0-71-generic
% 0.09/5.37 % CPULimit : 300
% 0.09/5.37 % WCLimit : 300
% 0.09/5.37 % DateTime : Wed Sep 23 19:21:34 UTC 2026
% 0.09/5.37 % CPUTime :
% 0.09/5.37 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.41/6.09 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.41/6.09 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------