%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : KRS090+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 : n019.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 08:46:38 PM UTC 2025
% Result : Unsatisfiable 0.20s 0.35s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 6
% Syntax : Number of formulae : 30 ( 4 unt; 0 def)
% Number of atoms : 77 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 82 ( 35 ~; 36 |; 5 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 17 ( 0 sgn 6 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_8,plain,
cTEST(i2003_11_14_17_19_57994),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_8) ).
cnf(46,plain,
cTEST(i2003_11_14_17_19_57994),
inference(cnf,[status(esa)],[axiom_8]) ).
cnf(l0,plain,
cTEST(i2003_11_14_17_19_57994),
inference(instantiation,[status(thm)],[46]) ).
fof(axiom_7,plain,
! [X] :
( cTEST(X)
=> ( cC4(X)
& cC1(X)
& cC5(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).
cnf(43,plain,
( ~ cTEST(X0)
| cC4(X0) ),
inference(cnf,[status(esa)],[axiom_7]) ).
cnf(l1,plain,
( ~ cTEST(i2003_11_14_17_19_57994)
| cC4(i2003_11_14_17_19_57994) ),
inference(instantiation,[status(thm)],[43]) ).
fof(axiom_5,plain,
! [X] :
( cC4(X)
=> ? [Y] :
( rR(X,Y)
& cC2(Y) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
cnf(40,plain,
( ~ cC4(X0)
| rR(X0,sK1(X0)) ),
inference(cnf,[status(esa)],[axiom_5]) ).
cnf(l2,plain,
( ~ cC4(i2003_11_14_17_19_57994)
| rR(i2003_11_14_17_19_57994,sK1(i2003_11_14_17_19_57994)) ),
inference(instantiation,[status(thm)],[40]) ).
fof(axiom_6,plain,
! [X] :
( cC5(X)
=> ! [Y] :
( rR(X,Y)
=> cC3(Y) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).
cnf(42,plain,
( ~ rR(X0,X1)
| ~ cC5(X0)
| cC3(X1) ),
inference(cnf,[status(esa)],[axiom_6]) ).
cnf(l4,plain,
( ~ rR(i2003_11_14_17_19_57994,sK1(i2003_11_14_17_19_57994))
| ~ cC5(i2003_11_14_17_19_57994)
| cC3(sK1(i2003_11_14_17_19_57994)) ),
inference(instantiation,[status(thm)],[42]) ).
cnf(45,plain,
( ~ cTEST(X0)
| cC5(X0) ),
inference(cnf,[status(esa)],[axiom_7]) ).
cnf(l5,plain,
( ~ cTEST(i2003_11_14_17_19_57994)
| cC5(i2003_11_14_17_19_57994) ),
inference(instantiation,[status(thm)],[45]) ).
fof(axiom_4,plain,
! [X] :
( cC3(X)
=> ( ( ~ cB(X)
| ~ cA(X) )
& ( cB(X)
| ~ cA(X) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).
cnf(38,plain,
( ~ cB(X0)
| ~ cA(X0)
| ~ cC3(X0) ),
inference(cnf,[status(esa)],[axiom_4]) ).
cnf(l6,plain,
( ~ cB(sK1(i2003_11_14_17_19_57994))
| ~ cA(sK1(i2003_11_14_17_19_57994))
| ~ cC3(sK1(i2003_11_14_17_19_57994)) ),
inference(instantiation,[status(thm)],[38]) ).
fof(axiom_3,plain,
! [X] :
( cC2(X)
=> ( ( ~ cB(X)
| cA(X) )
& ( cB(X)
| cA(X) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
cnf(37,plain,
( ~ cC2(X0)
| cB(X0)
| cA(X0) ),
inference(cnf,[status(esa)],[axiom_3]) ).
cnf(l7,plain,
( ~ cC2(sK1(i2003_11_14_17_19_57994))
| cB(sK1(i2003_11_14_17_19_57994))
| cA(sK1(i2003_11_14_17_19_57994)) ),
inference(instantiation,[status(thm)],[37]) ).
cnf(36,plain,
( ~ cC2(X0)
| ~ cB(X0)
| cA(X0) ),
inference(cnf,[status(esa)],[axiom_3]) ).
cnf(l8,plain,
( ~ cC2(sK1(i2003_11_14_17_19_57994))
| ~ cB(sK1(i2003_11_14_17_19_57994))
| cA(sK1(i2003_11_14_17_19_57994)) ),
inference(instantiation,[status(thm)],[36]) ).
cnf(41,plain,
( ~ cC4(X0)
| cC2(sK1(X0)) ),
inference(cnf,[status(esa)],[axiom_5]) ).
cnf(l10,plain,
( ~ cC4(i2003_11_14_17_19_57994)
| cC2(sK1(i2003_11_14_17_19_57994)) ),
inference(instantiation,[status(thm)],[41]) ).
cnf(l13,plain,
( ~ cC4(i2003_11_14_17_19_57994)
| cC2(sK1(i2003_11_14_17_19_57994)) ),
inference(instantiation,[status(thm)],[41]) ).
cnf(39,plain,
( ~ cA(X0)
| ~ cC3(X0)
| cB(X0) ),
inference(cnf,[status(esa)],[axiom_4]) ).
cnf(l9,plain,
( ~ cA(sK1(i2003_11_14_17_19_57994))
| ~ cC3(sK1(i2003_11_14_17_19_57994))
| cB(sK1(i2003_11_14_17_19_57994)) ),
inference(instantiation,[status(thm)],[39]) ).
cnf(l11,plain,
( ~ cC2(sK1(i2003_11_14_17_19_57994))
| cB(sK1(i2003_11_14_17_19_57994))
| cA(sK1(i2003_11_14_17_19_57994)) ),
inference(instantiation,[status(thm)],[37]) ).
cnf(l12,plain,
( ~ cC4(i2003_11_14_17_19_57994)
| cC2(sK1(i2003_11_14_17_19_57994)) ),
inference(instantiation,[status(thm)],[41]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l4,l5,l6,l7,l8,l10,l13,l9,l11,l12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : KRS090+1 : TPTP v9.0.0. Released v3.1.0.
% 0.14/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35 % Computer : n019.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sun Jul 20 22:11:19 EDT 2025
% 0.14/0.35 % CPUTime :
% 0.20/0.35 % launching worker at depth: 1
% 0.20/0.35 % launching worker at depth: 5
% 0.20/0.35 % launching worker at depth: 2
% 0.20/0.35 % launching worker at depth: 4
% 0.20/0.35 % launching worker at depth: 3
% 0.20/0.35 % launching worker at depth: 7
% 0.20/0.35 % launching worker at depth: 8
% 0.20/0.35 % launching worker at depth: 6
% 0.20/0.35 % launching worker at depth: 9
% 0.20/0.35 % SZS status Theorem for theBenchmark
% 0.20/0.35 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------