%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : KRS084+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 : n006.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 9.03s 1.86s
% Output : Proof 9.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 7
% Syntax : Number of formulae : 49 ( 17 unt; 0 def)
% Number of atoms : 138 ( 6 equ)
% Maximal formula atoms : 14 ( 2 avg)
% Number of connectives : 147 ( 58 ~; 53 |; 29 &)
% ( 4 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 1 con; 0-2 aty)
% Number of variables : 69 ( 0 sgn 41 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f19,axiom,
! [X,Y,Z] :
( ( rf(X,Z)
& rf(X,Y) )
=> Y = Z ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).
fof(f19_nnf,plain,
! [X,Y,Z] :
( Y = Z
| ~ rf(X,Z)
| ~ rf(X,Y) ),
inference(nnf_transformation,[status(thm)],[f19]) ).
fof(f19_sk,plain,
! [X,Y,Z] :
( Y = Z
| ~ rf(X,Z)
| ~ rf(X,Y) ),
inference(skolemisation,[status(esa)],[f19_nnf]) ).
cnf(c30,plain,
( X1 = X2
| ~ rf(X0,X2)
| ~ rf(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f19_sk]) ).
fof(f17,axiom,
! [X] :
( cUnsatisfiable(X)
<=> ( ~ cc(X)
& ! [Y] :
( rinvR(X,Y)
=> ? [Z] :
( cd(Z)
& rinvF(Y,Z) ) )
& ? [Y] :
( cd(Y)
& rinvF(X,Y) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(f17_nnf,plain,
! [X] :
( ( cc(X)
| ? [Y] :
( ! [Z] :
( ~ cd(Z)
| ~ rinvF(Y,Z) )
& rinvR(X,Y) )
| ! [Y] :
( ~ cd(Y)
| ~ rinvF(X,Y) )
| cUnsatisfiable(X) )
& ( ( ~ cc(X)
& ! [Y] :
( ? [Z] :
( cd(Z)
& rinvF(Y,Z) )
| ~ rinvR(X,Y) )
& ? [Y] :
( cd(Y)
& rinvF(X,Y) ) )
| ~ cUnsatisfiable(X) ) ),
inference(nnf_transformation,[status(thm)],[f17]) ).
fof(f17_sk,plain,
! [X,Y,Z] :
( ( cc(X)
| ( ( ~ cd(Z)
| ~ rinvF(sk2(X),Z) )
& rinvR(X,sk2(X)) )
| ~ cd(Y)
| ~ rinvF(X,Y)
| cUnsatisfiable(X) )
& ( ( ~ cc(X)
& ( ( cd(sk1(X,Y))
& rinvF(Y,sk1(X,Y)) )
| ~ rinvR(X,Y) )
& cd(sk0(X))
& rinvF(X,sk0(X)) )
| ~ cUnsatisfiable(X) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk0,sk1,sk2])],[f17_nnf]) ).
cnf(c22,plain,
( cd(sk1(X0,X1))
| ~ rinvR(X0,X1)
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(esa)],[f17_sk]) ).
fof(f23,axiom,
cUnsatisfiable(i2003_11_14_17_19_35232),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_8) ).
fof(f23_nnf,plain,
cUnsatisfiable(i2003_11_14_17_19_35232),
inference(nnf_transformation,[status(thm)],[f23]) ).
cnf(c36,plain,
cUnsatisfiable(i2003_11_14_17_19_35232),
inference(cnf_transformation,[status(esa)],[f23_nnf]) ).
cnf(p50,plain,
( cd(sk1(i2003_11_14_17_19_35232,X0))
| ~ rinvR(i2003_11_14_17_19_35232,X0) ),
inference(resolution,[status(thm)],[c22,c36]) ).
fof(f24,axiom,
! [X,Y] :
( rf(X,Y)
=> rr(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_9) ).
fof(f24_nnf,plain,
! [X,Y] :
( rr(X,Y)
| ~ rf(X,Y) ),
inference(nnf_transformation,[status(thm)],[f24]) ).
fof(f24_sk,plain,
! [X,Y] :
( rr(X,Y)
| ~ rf(X,Y) ),
inference(skolemisation,[status(esa)],[f24_nnf]) ).
cnf(c37,plain,
( rr(X0,X1)
| ~ rf(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f24_sk]) ).
fof(f20,axiom,
! [X,Y] :
( rinvF(X,Y)
<=> rf(Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
fof(f20_nnf,plain,
! [X,Y] :
( ( ~ rf(Y,X)
| rinvF(X,Y) )
& ( rf(Y,X)
| ~ rinvF(X,Y) ) ),
inference(nnf_transformation,[status(thm)],[f20]) ).
fof(f20_sk,plain,
! [X,Y] :
( ( ~ rf(Y,X)
| rinvF(X,Y) )
& ( rf(Y,X)
| ~ rinvF(X,Y) ) ),
inference(skolemisation,[status(esa)],[f20_nnf]) ).
cnf(c31,plain,
( rf(X1,X0)
| ~ rinvF(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f20_sk]) ).
cnf(c19,plain,
( rinvF(X0,sk0(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(esa)],[f17_sk]) ).
cnf(p42,plain,
rinvF(i2003_11_14_17_19_35232,sk0(i2003_11_14_17_19_35232)),
inference(resolution,[status(thm)],[c19,c36]) ).
cnf(p44,plain,
rf(sk0(i2003_11_14_17_19_35232),i2003_11_14_17_19_35232),
inference(resolution,[status(thm)],[c31,p42]) ).
cnf(p47,plain,
rr(sk0(i2003_11_14_17_19_35232),i2003_11_14_17_19_35232),
inference(resolution,[status(thm)],[c37,p44]) ).
fof(f21,axiom,
! [X,Y] :
( rinvR(X,Y)
<=> rr(Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).
fof(f21_nnf,plain,
! [X,Y] :
( ( ~ rr(Y,X)
| rinvR(X,Y) )
& ( rr(Y,X)
| ~ rinvR(X,Y) ) ),
inference(nnf_transformation,[status(thm)],[f21]) ).
fof(f21_sk,plain,
! [X,Y] :
( ( ~ rr(Y,X)
| rinvR(X,Y) )
& ( rr(Y,X)
| ~ rinvR(X,Y) ) ),
inference(skolemisation,[status(esa)],[f21_nnf]) ).
cnf(c34,plain,
( ~ rr(X1,X0)
| rinvR(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f21_sk]) ).
cnf(p48,plain,
rinvR(i2003_11_14_17_19_35232,sk0(i2003_11_14_17_19_35232)),
inference(resolution,[status(thm)],[p47,c34]) ).
cnf(p52,plain,
cd(sk1(i2003_11_14_17_19_35232,sk0(i2003_11_14_17_19_35232))),
inference(resolution,[status(thm)],[p50,p48]) ).
fof(f18,axiom,
! [X] :
( cd(X)
<=> ( cc(X)
& ? [Y] :
( ~ cc(Y)
& rf(X,Y) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
fof(f18_nnf,plain,
! [X] :
( ( ~ cc(X)
| ! [Y] :
( cc(Y)
| ~ rf(X,Y) )
| cd(X) )
& ( ( cc(X)
& ? [Y] :
( ~ cc(Y)
& rf(X,Y) ) )
| ~ cd(X) ) ),
inference(nnf_transformation,[status(thm)],[f18]) ).
fof(f18_sk,plain,
! [X,Y] :
( ( ~ cc(X)
| cc(Y)
| ~ rf(X,Y)
| cd(X) )
& ( ( cc(X)
& ~ cc(sk3(X))
& rf(X,sk3(X)) )
| ~ cd(X) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk3])],[f18_nnf]) ).
cnf(c26,plain,
( rf(X0,sk3(X0))
| ~ cd(X0) ),
inference(cnf_transformation,[status(esa)],[f18_sk]) ).
cnf(p55,plain,
rf(sk1(i2003_11_14_17_19_35232,sk0(i2003_11_14_17_19_35232)),sk3(sk1(i2003_11_14_17_19_35232,sk0(i2003_11_14_17_19_35232)))),
inference(resolution,[status(thm)],[p52,c26]) ).
cnf(p71,plain,
( sk3(sk1(i2003_11_14_17_19_35232,sk0(i2003_11_14_17_19_35232))) = X0
| ~ rf(sk1(i2003_11_14_17_19_35232,sk0(i2003_11_14_17_19_35232)),X0) ),
inference(resolution,[status(thm)],[c30,p55]) ).
cnf(c21,plain,
( rinvF(X1,sk1(X0,X1))
| ~ rinvR(X0,X1)
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(esa)],[f17_sk]) ).
cnf(p51,plain,
( rinvF(X0,sk1(i2003_11_14_17_19_35232,X0))
| ~ rinvR(i2003_11_14_17_19_35232,X0) ),
inference(resolution,[status(thm)],[c21,c36]) ).
cnf(p57,plain,
rinvF(sk0(i2003_11_14_17_19_35232),sk1(i2003_11_14_17_19_35232,sk0(i2003_11_14_17_19_35232))),
inference(resolution,[status(thm)],[p51,p48]) ).
cnf(p58,plain,
rf(sk1(i2003_11_14_17_19_35232,sk0(i2003_11_14_17_19_35232)),sk0(i2003_11_14_17_19_35232)),
inference(resolution,[status(thm)],[p57,c31]) ).
cnf(p115,plain,
sk3(sk1(i2003_11_14_17_19_35232,sk0(i2003_11_14_17_19_35232))) = sk0(i2003_11_14_17_19_35232),
inference(resolution,[status(thm)],[p71,p58]) ).
cnf(c27,plain,
( ~ cc(sk3(X0))
| ~ cd(X0) ),
inference(cnf_transformation,[status(esa)],[f18_sk]) ).
cnf(p54,plain,
~ cc(sk3(sk1(i2003_11_14_17_19_35232,sk0(i2003_11_14_17_19_35232)))),
inference(resolution,[status(thm)],[p52,c27]) ).
cnf(p116,plain,
~ cc(sk0(i2003_11_14_17_19_35232)),
inference(demodulation,[status(thm)],[p115,p54]) ).
cnf(c20,plain,
( cd(sk0(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(esa)],[f17_sk]) ).
cnf(p39,plain,
cd(sk0(i2003_11_14_17_19_35232)),
inference(resolution,[status(thm)],[c20,c36]) ).
cnf(c28,plain,
( cc(X0)
| ~ cd(X0) ),
inference(cnf_transformation,[status(esa)],[f18_sk]) ).
cnf(p40,plain,
cc(sk0(i2003_11_14_17_19_35232)),
inference(resolution,[status(thm)],[p39,c28]) ).
cnf(p117,plain,
$false,
inference(resolution,[status(thm)],[p116,p40]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS084+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.10/0.58 % Computer : n006.cluster.edu
% 0.10/0.58 % Model : x86_64 x86_64
% 0.10/0.58 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.58 % Memory : 8046.5625MB
% 0.10/0.58 % OS : Linux 6.8.0-71-generic
% 0.10/0.58 % CPULimit : 300
% 0.10/0.58 % WCLimit : 300
% 0.10/0.58 % DateTime : Wed Sep 23 19:20:28 UTC 2026
% 0.10/0.58 % CPUTime :
% 0.10/0.58 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 9.03/1.86 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 9.03/1.86 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------