%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : KRS077+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 : n004.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 01:53:00 PM UTC 2026
% Result : Unsatisfiable 3.70s 0.92s
% Output : Proof 3.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 4
% Syntax : Number of formulae : 31 ( 12 unt; 0 def)
% Number of atoms : 102 ( 9 equ)
% Maximal formula atoms : 20 ( 3 avg)
% Number of connectives : 114 ( 43 ~; 40 |; 26 &)
% ( 2 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 1 con; 0-2 aty)
% Number of variables : 50 ( 0 sgn 27 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f16,axiom,
cUnsatisfiable(i2003_11_14_17_19_09372),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).
fof(f16_nnf,plain,
cUnsatisfiable(i2003_11_14_17_19_09372),
inference(nnf_transformation,[status(thm)],[f16]) ).
cnf(c30,plain,
cUnsatisfiable(i2003_11_14_17_19_09372),
inference(cnf_transformation,[status(esa)],[f16_nnf]) ).
fof(f14,axiom,
! [X] :
( cUnsatisfiable(X)
<=> ( ? [Y] :
( cp(Y)
& rs(X,Y) )
& ~ cp(X)
& ? [Y] :
( ! [Z] :
( rinvS(Y,Z)
=> cp(Z) )
& rr(X,Y) )
& ! [Y0,Y1] :
( ( rr(X,Y1)
& rr(X,Y0) )
=> Y0 = Y1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(f14_nnf,plain,
! [X] :
( ( ! [Y] :
( ~ cp(Y)
| ~ rs(X,Y) )
| cp(X)
| ! [Y] :
( ? [Z] :
( ~ cp(Z)
& rinvS(Y,Z) )
| ~ rr(X,Y) )
| ? [Y0,Y1] :
( Y0 != Y1
& rr(X,Y1)
& rr(X,Y0) )
| cUnsatisfiable(X) )
& ( ( ? [Y] :
( cp(Y)
& rs(X,Y) )
& ~ cp(X)
& ? [Y] :
( ! [Z] :
( cp(Z)
| ~ rinvS(Y,Z) )
& rr(X,Y) )
& ! [Y0,Y1] :
( Y0 = Y1
| ~ rr(X,Y1)
| ~ rr(X,Y0) ) )
| ~ cUnsatisfiable(X) ) ),
inference(nnf_transformation,[status(thm)],[f14]) ).
fof(f14_sk,plain,
! [X,Y0,Y1,Z,Y] :
( ( ~ cp(Y)
| ~ rs(X,Y)
| cp(X)
| ( ~ cp(sk4(X,Y))
& rinvS(Y,sk4(X,Y)) )
| ~ rr(X,Y)
| ( sk2(X) != sk3(X)
& rr(X,sk3(X))
& rr(X,sk2(X)) )
| cUnsatisfiable(X) )
& ( ( cp(sk1(X))
& rs(X,sk1(X))
& ~ cp(X)
& ( cp(Z)
| ~ rinvS(sk0(X),Z) )
& rr(X,sk0(X))
& ( Y0 = Y1
| ~ rr(X,Y1)
| ~ rr(X,Y0) ) )
| ~ cUnsatisfiable(X) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk0,sk1,sk2,sk3,sk4])],[f14_nnf]) ).
cnf(c20,plain,
( rs(X0,sk1(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(esa)],[f14_sk]) ).
cnf(p36,plain,
rs(i2003_11_14_17_19_09372,sk1(i2003_11_14_17_19_09372)),
inference(resolution,[status(thm)],[c30,c20]) ).
fof(f17,axiom,
! [X,Y] :
( rs(X,Y)
=> rr(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
fof(f17_nnf,plain,
! [X,Y] :
( rr(X,Y)
| ~ rs(X,Y) ),
inference(nnf_transformation,[status(thm)],[f17]) ).
fof(f17_sk,plain,
! [X,Y] :
( rr(X,Y)
| ~ rs(X,Y) ),
inference(skolemisation,[status(esa)],[f17_nnf]) ).
cnf(c31,plain,
( rr(X0,X1)
| ~ rs(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f17_sk]) ).
cnf(p40,plain,
rr(i2003_11_14_17_19_09372,sk1(i2003_11_14_17_19_09372)),
inference(resolution,[status(thm)],[p36,c31]) ).
cnf(c16,plain,
( X1 = X2
| ~ rr(X0,X2)
| ~ rr(X0,X1)
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(esa)],[f14_sk]) ).
cnf(p32,plain,
( X0 = X1
| ~ rr(i2003_11_14_17_19_09372,X1)
| ~ rr(i2003_11_14_17_19_09372,X0) ),
inference(resolution,[status(thm)],[c30,c16]) ).
cnf(p41,plain,
( sk1(i2003_11_14_17_19_09372) = X0
| ~ rr(i2003_11_14_17_19_09372,X0) ),
inference(resolution,[status(thm)],[p40,p32]) ).
cnf(c17,plain,
( rr(X0,sk0(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(esa)],[f14_sk]) ).
cnf(p33,plain,
rr(i2003_11_14_17_19_09372,sk0(i2003_11_14_17_19_09372)),
inference(resolution,[status(thm)],[c30,c17]) ).
cnf(p43,plain,
sk1(i2003_11_14_17_19_09372) = sk0(i2003_11_14_17_19_09372),
inference(resolution,[status(thm)],[p41,p33]) ).
fof(f15,axiom,
! [X,Y] :
( rinvS(X,Y)
<=> rs(Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
fof(f15_nnf,plain,
! [X,Y] :
( ( ~ rs(Y,X)
| rinvS(X,Y) )
& ( rs(Y,X)
| ~ rinvS(X,Y) ) ),
inference(nnf_transformation,[status(thm)],[f15]) ).
fof(f15_sk,plain,
! [X,Y] :
( ( ~ rs(Y,X)
| rinvS(X,Y) )
& ( rs(Y,X)
| ~ rinvS(X,Y) ) ),
inference(skolemisation,[status(esa)],[f15_nnf]) ).
cnf(c29,plain,
( ~ rs(X1,X0)
| rinvS(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f15_sk]) ).
cnf(p39,plain,
rinvS(sk1(i2003_11_14_17_19_09372),i2003_11_14_17_19_09372),
inference(resolution,[status(thm)],[p36,c29]) ).
cnf(p46,plain,
rinvS(sk0(i2003_11_14_17_19_09372),i2003_11_14_17_19_09372),
inference(demodulation,[status(thm)],[p43,p39]) ).
cnf(c18,plain,
( cp(X4)
| ~ rinvS(sk0(X0),X4)
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(esa)],[f14_sk]) ).
cnf(p34,plain,
( cp(X0)
| ~ rinvS(sk0(i2003_11_14_17_19_09372),X0) ),
inference(resolution,[status(thm)],[c30,c18]) ).
cnf(p47,plain,
cp(i2003_11_14_17_19_09372),
inference(resolution,[status(thm)],[p46,p34]) ).
cnf(c19,plain,
( ~ cp(X0)
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(esa)],[f14_sk]) ).
cnf(p35,plain,
~ cp(i2003_11_14_17_19_09372),
inference(resolution,[status(thm)],[c30,c19]) ).
cnf(p48,plain,
$false,
inference(resolution,[status(thm)],[p47,p35]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KRS077+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.03 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.07/0.35 % Computer : n004.cluster.edu
% 0.07/0.35 % Model : x86_64 x86_64
% 0.07/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35 % Memory : 8046.5625MB
% 0.07/0.35 % OS : Linux 6.8.0-71-generic
% 0.07/0.36 % CPULimit : 300
% 0.07/0.36 % WCLimit : 300
% 0.07/0.36 % DateTime : Wed Sep 23 19:20:05 UTC 2026
% 0.07/0.36 % CPUTime :
% 0.12/0.36 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.70/0.92 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.70/0.92 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------