%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : KRS070+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 : n005.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 4.51s 11.15s
% Output : Proof 4.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 5
% Syntax : Number of formulae : 37 ( 14 unt; 0 def)
% Number of atoms : 101 ( 6 equ)
% Maximal formula atoms : 16 ( 2 avg)
% Number of connectives : 108 ( 44 ~; 39 |; 21 &)
% ( 1 <=>; 3 =>; 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 : 49 ( 0 sgn 28 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f29,axiom,
! [X] :
( cUnsatisfiable(X)
<=> ( ? [Y] :
( cc1(Y)
& rrx3(X,Y) )
& ~ ? [Y] :
( cc1(Y)
& cc2(Y)
& rrx3(X,Y) )
& ? [Y] :
( cc2(Y)
& rrx4(X,Y) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(f29_nnf,plain,
! [X] :
( ( ! [Y] :
( ~ cc1(Y)
| ~ rrx3(X,Y) )
| ? [Y] :
( cc1(Y)
& cc2(Y)
& rrx3(X,Y) )
| ! [Y] :
( ~ cc2(Y)
| ~ rrx4(X,Y) )
| cUnsatisfiable(X) )
& ( ( ? [Y] :
( cc1(Y)
& rrx3(X,Y) )
& ! [Y] :
( ~ cc1(Y)
| ~ cc2(Y)
| ~ rrx3(X,Y) )
& ? [Y] :
( cc2(Y)
& rrx4(X,Y) ) )
| ~ cUnsatisfiable(X) ) ),
inference(nnf_transformation,[status(thm)],[f29]) ).
fof(f29_sk,plain,
! [X,Y] :
( ( ~ cc1(Y)
| ~ rrx3(X,Y)
| ( cc1(sk2(X))
& cc2(sk2(X))
& rrx3(X,sk2(X)) )
| ~ cc2(Y)
| ~ rrx4(X,Y)
| cUnsatisfiable(X) )
& ( ( cc1(sk1(X))
& rrx3(X,sk1(X))
& ( ~ cc1(Y)
| ~ cc2(Y)
| ~ rrx3(X,Y) )
& cc2(sk0(X))
& rrx4(X,sk0(X)) )
| ~ cUnsatisfiable(X) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk0,sk1,sk2])],[f29_nnf]) ).
cnf(c33,plain,
( ~ cc1(X1)
| ~ cc2(X1)
| ~ rrx3(X0,X1)
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(esa)],[f29_sk]) ).
fof(f35,axiom,
cUnsatisfiable(i2003_11_14_17_18_32242),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_8) ).
fof(f35_nnf,plain,
cUnsatisfiable(i2003_11_14_17_18_32242),
inference(nnf_transformation,[status(thm)],[f35]) ).
cnf(c44,plain,
cUnsatisfiable(i2003_11_14_17_18_32242),
inference(cnf_transformation,[status(esa)],[f35_nnf]) ).
cnf(p67,plain,
( ~ cc1(X0)
| ~ cc2(X0)
| ~ rrx3(i2003_11_14_17_18_32242,X0) ),
inference(resolution,[status(thm)],[c33,c44]) ).
fof(f30,axiom,
! [X,Y,Z] :
( ( rrx(X,Z)
& rrx(X,Y) )
=> Y = Z ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
fof(f30_nnf,plain,
! [X,Y,Z] :
( Y = Z
| ~ rrx(X,Z)
| ~ rrx(X,Y) ),
inference(nnf_transformation,[status(thm)],[f30]) ).
fof(f30_sk,plain,
! [X,Y,Z] :
( Y = Z
| ~ rrx(X,Z)
| ~ rrx(X,Y) ),
inference(skolemisation,[status(esa)],[f30_nnf]) ).
cnf(c39,plain,
( X1 = X2
| ~ rrx(X0,X2)
| ~ rrx(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f30_sk]) ).
fof(f36,axiom,
! [X,Y] :
( rrx3(X,Y)
=> rrx(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_9) ).
fof(f36_nnf,plain,
! [X,Y] :
( rrx(X,Y)
| ~ rrx3(X,Y) ),
inference(nnf_transformation,[status(thm)],[f36]) ).
fof(f36_sk,plain,
! [X,Y] :
( rrx(X,Y)
| ~ rrx3(X,Y) ),
inference(skolemisation,[status(esa)],[f36_nnf]) ).
cnf(c45,plain,
( rrx(X0,X1)
| ~ rrx3(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f36_sk]) ).
cnf(c34,plain,
( rrx3(X0,sk1(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(esa)],[f29_sk]) ).
cnf(p56,plain,
rrx3(i2003_11_14_17_18_32242,sk1(i2003_11_14_17_18_32242)),
inference(resolution,[status(thm)],[c34,c44]) ).
cnf(p57,plain,
rrx(i2003_11_14_17_18_32242,sk1(i2003_11_14_17_18_32242)),
inference(resolution,[status(thm)],[c45,p56]) ).
cnf(p61,plain,
( sk1(i2003_11_14_17_18_32242) = X0
| ~ rrx(i2003_11_14_17_18_32242,X0) ),
inference(resolution,[status(thm)],[c39,p57]) ).
fof(f43,axiom,
! [X,Y] :
( rrx4(X,Y)
=> rrx(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_16) ).
fof(f43_nnf,plain,
! [X,Y] :
( rrx(X,Y)
| ~ rrx4(X,Y) ),
inference(nnf_transformation,[status(thm)],[f43]) ).
fof(f43_sk,plain,
! [X,Y] :
( rrx(X,Y)
| ~ rrx4(X,Y) ),
inference(skolemisation,[status(esa)],[f43_nnf]) ).
cnf(c52,plain,
( rrx(X0,X1)
| ~ rrx4(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f43_sk]) ).
cnf(c31,plain,
( rrx4(X0,sk0(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(esa)],[f29_sk]) ).
cnf(p55,plain,
rrx4(i2003_11_14_17_18_32242,sk0(i2003_11_14_17_18_32242)),
inference(resolution,[status(thm)],[c31,c44]) ).
cnf(p60,plain,
rrx(i2003_11_14_17_18_32242,sk0(i2003_11_14_17_18_32242)),
inference(resolution,[status(thm)],[c52,p55]) ).
cnf(p63,plain,
sk1(i2003_11_14_17_18_32242) = sk0(i2003_11_14_17_18_32242),
inference(resolution,[status(thm)],[p61,p60]) ).
cnf(p65,plain,
rrx3(i2003_11_14_17_18_32242,sk0(i2003_11_14_17_18_32242)),
inference(demodulation,[status(thm)],[p63,p56]) ).
cnf(p68,plain,
( ~ cc1(sk0(i2003_11_14_17_18_32242))
| ~ cc2(sk0(i2003_11_14_17_18_32242)) ),
inference(resolution,[status(thm)],[p67,p65]) ).
cnf(c32,plain,
( cc2(sk0(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(esa)],[f29_sk]) ).
cnf(p53,plain,
cc2(sk0(i2003_11_14_17_18_32242)),
inference(resolution,[status(thm)],[c32,c44]) ).
cnf(p69,plain,
~ cc1(sk0(i2003_11_14_17_18_32242)),
inference(resolution,[status(thm)],[p68,p53]) ).
cnf(c35,plain,
( cc1(sk1(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(esa)],[f29_sk]) ).
cnf(p54,plain,
cc1(sk1(i2003_11_14_17_18_32242)),
inference(resolution,[status(thm)],[c35,c44]) ).
cnf(p64,plain,
cc1(sk0(i2003_11_14_17_18_32242)),
inference(demodulation,[status(thm)],[p63,p54]) ).
cnf(p70,plain,
$false,
inference(resolution,[status(thm)],[p69,p64]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS070+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.03/10.40 % Computer : n005.cluster.edu
% 0.03/10.40 % Model : x86_64 x86_64
% 0.03/10.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/10.40 % Memory : 8046.5625MB
% 0.03/10.40 % OS : Linux 6.8.0-71-generic
% 0.03/10.40 % CPULimit : 300
% 0.03/10.40 % WCLimit : 300
% 0.03/10.40 % DateTime : Wed Sep 23 19:19:14 UTC 2026
% 0.03/10.40 % CPUTime :
% 0.03/10.40 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 4.51/11.15 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.51/11.15 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------