%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : KRS117+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 : n019.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 01:53:05 PM UTC 2026
% Result : Unsatisfiable 14.02s 2.82s
% Output : Proof 14.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 11
% Syntax : Number of formulae : 68 ( 21 unt; 0 def)
% Number of atoms : 188 ( 7 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 197 ( 77 ~; 71 |; 38 &)
% ( 7 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 14 ( 12 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 1 con; 0-1 aty)
% Number of variables : 96 ( 3 sgn 57 !; 11 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f26,axiom,
! [X] :
( cowlThing(X)
=> ! [Y0,Y1] :
( ( rf(X,Y1)
& rf(X,Y0) )
=> Y0 = Y1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).
fof(f26_nnf,plain,
! [X] :
( ! [Y0,Y1] :
( Y0 = Y1
| ~ rf(X,Y1)
| ~ rf(X,Y0) )
| ~ cowlThing(X) ),
inference(nnf_transformation,[status(thm)],[f26]) ).
fof(f26_sk,plain,
! [X,Y0,Y1] :
( Y0 = Y1
| ~ rf(X,Y1)
| ~ rf(X,Y0)
| ~ cowlThing(X) ),
inference(skolemisation,[status(esa)],[f26_nnf]) ).
cnf(c40,plain,
( X1 = X2
| ~ rf(X0,X2)
| ~ rf(X0,X1)
| ~ cowlThing(X0) ),
inference(cnf_transformation,[status(esa)],[f26_sk]) ).
fof(f19,axiom,
! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_0) ).
fof(f19_nnf,plain,
! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ),
inference(nnf_transformation,[status(thm)],[f19]) ).
fof(f19_sk,plain,
! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ),
inference(skolemisation,[status(esa)],[f19_nnf]) ).
cnf(c19,plain,
cowlThing(X0),
inference(cnf_transformation,[status(esa)],[f19_sk]) ).
cnf(p126,plain,
( X1 = X2
| ~ rf(X0,X2)
| ~ rf(X0,X1) ),
inference(resolution,[status(thm)],[c40,c19]) ).
fof(f21,axiom,
! [X] :
( cUnsatisfiable(X)
<=> ( ? [Y] :
( cd(Y)
& rinvF(X,Y) )
& ! [Y] :
( rinvR(X,Y)
=> ca_Vx3(Y) )
& ccxcomp(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(f21_nnf,plain,
! [X] :
( ( ! [Y] :
( ~ cd(Y)
| ~ rinvF(X,Y) )
| ? [Y] :
( ~ ca_Vx3(Y)
& rinvR(X,Y) )
| ~ ccxcomp(X)
| cUnsatisfiable(X) )
& ( ( ? [Y] :
( cd(Y)
& rinvF(X,Y) )
& ! [Y] :
( ca_Vx3(Y)
| ~ rinvR(X,Y) )
& ccxcomp(X) )
| ~ cUnsatisfiable(X) ) ),
inference(nnf_transformation,[status(thm)],[f21]) ).
fof(f21_sk,plain,
! [X,Y] :
( ( ~ cd(Y)
| ~ rinvF(X,Y)
| ( ~ ca_Vx3(sk1(X))
& rinvR(X,sk1(X)) )
| ~ ccxcomp(X)
| cUnsatisfiable(X) )
& ( ( cd(sk0(X))
& rinvF(X,sk0(X))
& ( ca_Vx3(Y)
| ~ rinvR(X,Y) )
& ccxcomp(X) )
| ~ cUnsatisfiable(X) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk0,sk1])],[f21_nnf]) ).
cnf(c24,plain,
( ca_Vx3(X1)
| ~ rinvR(X0,X1)
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(esa)],[f21_sk]) ).
fof(f30,axiom,
cUnsatisfiable(i2003_11_14_17_21_37349),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_11) ).
fof(f30_nnf,plain,
cUnsatisfiable(i2003_11_14_17_21_37349),
inference(nnf_transformation,[status(thm)],[f30]) ).
cnf(c46,plain,
cUnsatisfiable(i2003_11_14_17_21_37349),
inference(cnf_transformation,[status(esa)],[f30_nnf]) ).
cnf(p65,plain,
( ca_Vx3(X0)
| ~ rinvR(i2003_11_14_17_21_37349,X0) ),
inference(resolution,[status(thm)],[c24,c46]) ).
fof(f31,axiom,
! [X,Y] :
( rf(X,Y)
=> rr(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_12) ).
fof(f31_nnf,plain,
! [X,Y] :
( rr(X,Y)
| ~ rf(X,Y) ),
inference(nnf_transformation,[status(thm)],[f31]) ).
fof(f31_sk,plain,
! [X,Y] :
( rr(X,Y)
| ~ rf(X,Y) ),
inference(skolemisation,[status(esa)],[f31_nnf]) ).
cnf(c47,plain,
( rr(X0,X1)
| ~ rf(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f31_sk]) ).
fof(f27,axiom,
! [X,Y] :
( rinvF(X,Y)
<=> rf(Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_8) ).
fof(f27_nnf,plain,
! [X,Y] :
( ( ~ rf(Y,X)
| rinvF(X,Y) )
& ( rf(Y,X)
| ~ rinvF(X,Y) ) ),
inference(nnf_transformation,[status(thm)],[f27]) ).
fof(f27_sk,plain,
! [X,Y] :
( ( ~ rf(Y,X)
| rinvF(X,Y) )
& ( rf(Y,X)
| ~ rinvF(X,Y) ) ),
inference(skolemisation,[status(esa)],[f27_nnf]) ).
cnf(c41,plain,
( rf(X1,X0)
| ~ rinvF(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f27_sk]) ).
cnf(c25,plain,
( rinvF(X0,sk0(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(esa)],[f21_sk]) ).
cnf(p53,plain,
rinvF(i2003_11_14_17_21_37349,sk0(i2003_11_14_17_21_37349)),
inference(resolution,[status(thm)],[c25,c46]) ).
cnf(p59,plain,
rf(sk0(i2003_11_14_17_21_37349),i2003_11_14_17_21_37349),
inference(resolution,[status(thm)],[c41,p53]) ).
cnf(p62,plain,
rr(sk0(i2003_11_14_17_21_37349),i2003_11_14_17_21_37349),
inference(resolution,[status(thm)],[c47,p59]) ).
fof(f28,axiom,
! [X,Y] :
( rinvR(X,Y)
<=> rr(Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_9) ).
fof(f28_nnf,plain,
! [X,Y] :
( ( ~ rr(Y,X)
| rinvR(X,Y) )
& ( rr(Y,X)
| ~ rinvR(X,Y) ) ),
inference(nnf_transformation,[status(thm)],[f28]) ).
fof(f28_sk,plain,
! [X,Y] :
( ( ~ rr(Y,X)
| rinvR(X,Y) )
& ( rr(Y,X)
| ~ rinvR(X,Y) ) ),
inference(skolemisation,[status(esa)],[f28_nnf]) ).
cnf(c44,plain,
( ~ rr(X1,X0)
| rinvR(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f28_sk]) ).
cnf(p63,plain,
rinvR(i2003_11_14_17_21_37349,sk0(i2003_11_14_17_21_37349)),
inference(resolution,[status(thm)],[p62,c44]) ).
cnf(p66,plain,
ca_Vx3(sk0(i2003_11_14_17_21_37349)),
inference(resolution,[status(thm)],[p65,p63]) ).
fof(f25,axiom,
! [X] :
( ca_Vx3(X)
<=> ? [Y] :
( cd(Y)
& rinvF(X,Y) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).
fof(f25_nnf,plain,
! [X] :
( ( ! [Y] :
( ~ cd(Y)
| ~ rinvF(X,Y) )
| ca_Vx3(X) )
& ( ? [Y] :
( cd(Y)
& rinvF(X,Y) )
| ~ ca_Vx3(X) ) ),
inference(nnf_transformation,[status(thm)],[f25]) ).
fof(f25_sk,plain,
! [X,Y] :
( ( ~ cd(Y)
| ~ rinvF(X,Y)
| ca_Vx3(X) )
& ( ( cd(sk5(X))
& rinvF(X,sk5(X)) )
| ~ ca_Vx3(X) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk5])],[f25_nnf]) ).
cnf(c38,plain,
( cd(sk5(X0))
| ~ ca_Vx3(X0) ),
inference(cnf_transformation,[status(esa)],[f25_sk]) ).
cnf(p67,plain,
cd(sk5(sk0(i2003_11_14_17_21_37349))),
inference(resolution,[status(thm)],[p66,c38]) ).
fof(f24,axiom,
! [X] :
( cd(X)
<=> ( cc(X)
& ? [Y] :
( ccxcomp(Y)
& rf(X,Y) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
fof(f24_nnf,plain,
! [X] :
( ( ~ cc(X)
| ! [Y] :
( ~ ccxcomp(Y)
| ~ rf(X,Y) )
| cd(X) )
& ( ( cc(X)
& ? [Y] :
( ccxcomp(Y)
& rf(X,Y) ) )
| ~ cd(X) ) ),
inference(nnf_transformation,[status(thm)],[f24]) ).
fof(f24_sk,plain,
! [X,Y] :
( ( ~ cc(X)
| ~ ccxcomp(Y)
| ~ rf(X,Y)
| cd(X) )
& ( ( cc(X)
& ccxcomp(sk4(X))
& rf(X,sk4(X)) )
| ~ cd(X) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk4])],[f24_nnf]) ).
cnf(c33,plain,
( rf(X0,sk4(X0))
| ~ cd(X0) ),
inference(cnf_transformation,[status(esa)],[f24_sk]) ).
cnf(p71,plain,
rf(sk5(sk0(i2003_11_14_17_21_37349)),sk4(sk5(sk0(i2003_11_14_17_21_37349)))),
inference(resolution,[status(thm)],[p67,c33]) ).
cnf(p225,plain,
( sk4(sk5(sk0(i2003_11_14_17_21_37349))) = X0
| ~ rf(sk5(sk0(i2003_11_14_17_21_37349)),X0) ),
inference(resolution,[status(thm)],[p126,p71]) ).
cnf(c37,plain,
( rinvF(X0,sk5(X0))
| ~ ca_Vx3(X0) ),
inference(cnf_transformation,[status(esa)],[f25_sk]) ).
cnf(p68,plain,
rinvF(sk0(i2003_11_14_17_21_37349),sk5(sk0(i2003_11_14_17_21_37349))),
inference(resolution,[status(thm)],[p66,c37]) ).
cnf(p74,plain,
rf(sk5(sk0(i2003_11_14_17_21_37349)),sk0(i2003_11_14_17_21_37349)),
inference(resolution,[status(thm)],[p68,c41]) ).
cnf(p589,plain,
sk4(sk5(sk0(i2003_11_14_17_21_37349))) = sk0(i2003_11_14_17_21_37349),
inference(resolution,[status(thm)],[p225,p74]) ).
cnf(c34,plain,
( ccxcomp(sk4(X0))
| ~ cd(X0) ),
inference(cnf_transformation,[status(esa)],[f24_sk]) ).
cnf(p70,plain,
ccxcomp(sk4(sk5(sk0(i2003_11_14_17_21_37349)))),
inference(resolution,[status(thm)],[p67,c34]) ).
fof(f23,axiom,
! [X] :
( ccxcomp(X)
<=> ? [Y0] : ra_Px1(X,Y0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).
fof(f23_nnf,plain,
! [X] :
( ( ! [Y0] : ~ ra_Px1(X,Y0)
| ccxcomp(X) )
& ( ? [Y0] : ra_Px1(X,Y0)
| ~ ccxcomp(X) ) ),
inference(nnf_transformation,[status(thm)],[f23]) ).
fof(f23_sk,plain,
! [X,Y0] :
( ( ~ ra_Px1(X,Y0)
| ccxcomp(X) )
& ( ra_Px1(X,sk3(X))
| ~ ccxcomp(X) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk3])],[f23_nnf]) ).
cnf(c31,plain,
( ra_Px1(X0,sk3(X0))
| ~ ccxcomp(X0) ),
inference(cnf_transformation,[status(esa)],[f23_sk]) ).
cnf(p73,plain,
ra_Px1(sk4(sk5(sk0(i2003_11_14_17_21_37349))),sk3(sk4(sk5(sk0(i2003_11_14_17_21_37349))))),
inference(resolution,[status(thm)],[p70,c31]) ).
cnf(p590,plain,
ra_Px1(sk0(i2003_11_14_17_21_37349),sk3(sk0(i2003_11_14_17_21_37349))),
inference(demodulation,[status(thm)],[p589,p73]) ).
fof(f22,axiom,
! [X] :
( cc(X)
<=> ~ ? [Y] : ra_Px1(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
fof(f22_nnf,plain,
! [X] :
( ( ? [Y] : ra_Px1(X,Y)
| cc(X) )
& ( ! [Y] : ~ ra_Px1(X,Y)
| ~ cc(X) ) ),
inference(nnf_transformation,[status(thm)],[f22]) ).
fof(f22_sk,plain,
! [X,Y] :
( ( ra_Px1(X,sk2(X))
| cc(X) )
& ( ~ ra_Px1(X,Y)
| ~ cc(X) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk2])],[f22_nnf]) ).
cnf(c29,plain,
( ~ ra_Px1(X0,X1)
| ~ cc(X0) ),
inference(cnf_transformation,[status(esa)],[f22_sk]) ).
cnf(c26,plain,
( cd(sk0(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(esa)],[f21_sk]) ).
cnf(p49,plain,
cd(sk0(i2003_11_14_17_21_37349)),
inference(resolution,[status(thm)],[c26,c46]) ).
cnf(c35,plain,
( cc(X0)
| ~ cd(X0) ),
inference(cnf_transformation,[status(esa)],[f24_sk]) ).
cnf(p50,plain,
cc(sk0(i2003_11_14_17_21_37349)),
inference(resolution,[status(thm)],[p49,c35]) ).
cnf(p51,plain,
~ ra_Px1(sk0(i2003_11_14_17_21_37349),X0),
inference(resolution,[status(thm)],[c29,p50]) ).
cnf(p605,plain,
$false,
inference(resolution,[status(thm)],[p590,p51]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KRS117+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.03 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.08/0.34 % Computer : n019.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.34 % DateTime : Wed Sep 23 19:26:04 UTC 2026
% 0.08/0.34 % CPUTime :
% 0.08/0.34 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 14.02/2.82 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 14.02/2.82 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------