%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : KRS082+1 : TPTP v9.0.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n021.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Jul 24 08:46:37 PM UTC 2025
% Result : Unsatisfiable 0.07s 0.30s
% Output : CNFRefutation 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 7
% Syntax : Number of formulae : 32 ( 4 unt; 0 def)
% Number of atoms : 91 ( 0 equ)
% Maximal formula atoms : 17 ( 2 avg)
% Number of connectives : 97 ( 38 ~; 35 |; 10 &)
% ( 4 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 11 ( 10 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-2 aty)
% Number of variables : 40 ( 0 sgn 17 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_9,plain,
cUnsatisfiable(i2003_11_14_17_19_28752),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_9) ).
cnf(28,plain,
cUnsatisfiable(i2003_11_14_17_19_28752),
inference(cnf,[status(esa)],[axiom_9]) ).
cnf(l0,plain,
cUnsatisfiable(i2003_11_14_17_19_28752),
inference(instantiation,[status(thm)],[28]) ).
fof(axiom_3,plain,
! [X] :
( cUnsatisfiable(X)
=> ca(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
cnf(15,plain,
( ~ cUnsatisfiable(X0)
| ca(X0) ),
inference(cnf,[status(esa)],[axiom_3]) ).
cnf(l1,plain,
( ~ cUnsatisfiable(i2003_11_14_17_19_28752)
| ca(i2003_11_14_17_19_28752) ),
inference(instantiation,[status(thm)],[15]) ).
fof(axiom_4,plain,
! [X] :
( cc(X)
<=> ! [Y] :
( rinvR(X,Y)
=> ! [Z] :
( rinvP(Y,Z)
=> ! [W] :
( rinvS(Z,W)
=> ~ ca(W) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).
cnf(16,plain,
( ~ cc(X0)
| ~ rinvR(X0,X1)
| ~ rinvP(X1,X2)
| ~ ca(X3)
| ~ rinvS(X2,X3) ),
inference(cnf,[status(esa)],[axiom_4]) ).
cnf(l2,plain,
( ~ cc(sK3(i2003_11_14_17_19_28752,sK2(i2003_11_14_17_19_28752)))
| ~ rinvR(sK3(i2003_11_14_17_19_28752,sK2(i2003_11_14_17_19_28752)),sK2(i2003_11_14_17_19_28752))
| ~ rinvP(sK2(i2003_11_14_17_19_28752),sK1(i2003_11_14_17_19_28752))
| ~ ca(i2003_11_14_17_19_28752)
| ~ rinvS(sK1(i2003_11_14_17_19_28752),i2003_11_14_17_19_28752) ),
inference(instantiation,[status(thm)],[16]) ).
fof(axiom_7,plain,
! [X,Y] :
( rinvS(X,Y)
<=> rs(Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).
cnf(26,plain,
( ~ rs(X0,X1)
| rinvS(X1,X0) ),
inference(cnf,[status(esa)],[axiom_7]) ).
cnf(l133,plain,
( ~ rs(i2003_11_14_17_19_28752,sK1(i2003_11_14_17_19_28752))
| rinvS(sK1(i2003_11_14_17_19_28752),i2003_11_14_17_19_28752) ),
inference(instantiation,[status(thm)],[26]) ).
fof(axiom_5,plain,
! [X,Y] :
( rinvP(X,Y)
<=> rp(Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
cnf(22,plain,
( ~ rp(X0,X1)
| rinvP(X1,X0) ),
inference(cnf,[status(esa)],[axiom_5]) ).
cnf(l135,plain,
( ~ rp(sK1(i2003_11_14_17_19_28752),sK2(i2003_11_14_17_19_28752))
| rinvP(sK2(i2003_11_14_17_19_28752),sK1(i2003_11_14_17_19_28752)) ),
inference(instantiation,[status(thm)],[22]) ).
fof(axiom_2,plain,
! [X] :
( cUnsatisfiable(X)
=> ? [Y] :
( rs(X,Y)
& ? [Z] :
( rp(Y,Z)
& cowlThing(Z) )
& ! [Z] :
( rr(Y,Z)
=> cc(Z) )
& ! [Z] :
( rp(Y,Z)
=> ? [W] :
( rr(Z,W)
& cowlThing(W) ) )
& ! [Z] :
( rp(Y,Z)
=> ? [W] :
( rp(Z,W)
& cowlThing(W) ) )
& ! [Z] :
( rp(Y,Z)
=> ! [W] :
( rr(Z,W)
=> cc(W) ) )
& ? [Z] :
( rr(Y,Z)
& cowlThing(Z) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
cnf(4,plain,
( ~ cUnsatisfiable(X0)
| rs(X0,sK1(X0)) ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l140,plain,
( ~ cUnsatisfiable(i2003_11_14_17_19_28752)
| rs(i2003_11_14_17_19_28752,sK1(i2003_11_14_17_19_28752)) ),
inference(instantiation,[status(thm)],[4]) ).
fof(axiom_6,plain,
! [X,Y] :
( rinvR(X,Y)
<=> rr(Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).
cnf(24,plain,
( ~ rr(X0,X1)
| rinvR(X1,X0) ),
inference(cnf,[status(esa)],[axiom_6]) ).
cnf(l134,plain,
( ~ rr(sK2(i2003_11_14_17_19_28752),sK3(i2003_11_14_17_19_28752,sK2(i2003_11_14_17_19_28752)))
| rinvR(sK3(i2003_11_14_17_19_28752,sK2(i2003_11_14_17_19_28752)),sK2(i2003_11_14_17_19_28752)) ),
inference(instantiation,[status(thm)],[24]) ).
cnf(12,plain,
( ~ rr(X0,X1)
| ~ cUnsatisfiable(X2)
| ~ rp(sK1(X2),X0)
| cc(X1) ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l4,plain,
( ~ rr(sK2(i2003_11_14_17_19_28752),sK3(i2003_11_14_17_19_28752,sK2(i2003_11_14_17_19_28752)))
| ~ cUnsatisfiable(i2003_11_14_17_19_28752)
| ~ rp(sK1(i2003_11_14_17_19_28752),sK2(i2003_11_14_17_19_28752))
| cc(sK3(i2003_11_14_17_19_28752,sK2(i2003_11_14_17_19_28752))) ),
inference(instantiation,[status(thm)],[12]) ).
cnf(5,plain,
( ~ cUnsatisfiable(X0)
| rp(sK1(X0),sK2(X0)) ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l137,plain,
( ~ cUnsatisfiable(i2003_11_14_17_19_28752)
| rp(sK1(i2003_11_14_17_19_28752),sK2(i2003_11_14_17_19_28752)) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(8,plain,
( ~ cUnsatisfiable(X0)
| ~ rp(sK1(X0),X1)
| rr(X1,sK3(X0,X1)) ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l136,plain,
( ~ cUnsatisfiable(i2003_11_14_17_19_28752)
| ~ rp(sK1(i2003_11_14_17_19_28752),sK2(i2003_11_14_17_19_28752))
| rr(sK2(i2003_11_14_17_19_28752),sK3(i2003_11_14_17_19_28752,sK2(i2003_11_14_17_19_28752))) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(l32,plain,
( ~ cUnsatisfiable(i2003_11_14_17_19_28752)
| ~ rp(sK1(i2003_11_14_17_19_28752),sK2(i2003_11_14_17_19_28752))
| rr(sK2(i2003_11_14_17_19_28752),sK3(i2003_11_14_17_19_28752,sK2(i2003_11_14_17_19_28752))) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(l149,plain,
( ~ cUnsatisfiable(i2003_11_14_17_19_28752)
| rp(sK1(i2003_11_14_17_19_28752),sK2(i2003_11_14_17_19_28752)) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(l142,plain,
( ~ cUnsatisfiable(i2003_11_14_17_19_28752)
| rp(sK1(i2003_11_14_17_19_28752),sK2(i2003_11_14_17_19_28752)) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(l151,plain,
( ~ cUnsatisfiable(i2003_11_14_17_19_28752)
| rp(sK1(i2003_11_14_17_19_28752),sK2(i2003_11_14_17_19_28752)) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l133,l135,l140,l134,l4,l137,l136,l32,l149,l142,l151]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : KRS082+1 : TPTP v9.0.0. Released v3.1.0.
% 0.00/0.07 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.26 % Computer : n021.cluster.edu
% 0.07/0.26 % Model : x86_64 x86_64
% 0.07/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26 % Memory : 8042.1875MB
% 0.07/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26 % CPULimit : 300
% 0.07/0.26 % WCLimit : 300
% 0.07/0.26 % DateTime : Sun Jul 20 22:10:35 EDT 2025
% 0.07/0.26 % CPUTime :
% 0.07/0.26 % launching worker at depth: 1
% 0.07/0.26 % launching worker at depth: 7
% 0.07/0.26 % launching worker at depth: 3
% 0.07/0.26 % launching worker at depth: 2
% 0.07/0.26 % launching worker at depth: 5
% 0.07/0.26 % launching worker at depth: 6
% 0.07/0.26 % launching worker at depth: 8
% 0.07/0.26 % launching worker at depth: 4
% 0.07/0.26 % launching worker at depth: 9
% 0.07/0.27 % launching worker at depth: 10
% 0.07/0.27 % launching worker at depth: 11
% 0.07/0.28 % launching worker at depth: 12
% 0.07/0.30 % SZS status Theorem for theBenchmark
% 0.07/0.30 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------