%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : KRS096+1 : TPTP v9.0.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n018.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 08:46:39 PM UTC 2025
% Result : Unsatisfiable 0.18s 0.44s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of formulae : 21 ( 4 unt; 0 def)
% Number of atoms : 51 ( 6 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 53 ( 23 ~; 20 |; 6 &)
% ( 1 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-1 aty)
% Number of variables : 18 ( 0 sgn 6 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_4,plain,
cUnsatisfiable(i2003_11_14_17_20_18265),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
cnf(22,plain,
cUnsatisfiable(i2003_11_14_17_20_18265),
inference(cnf,[status(esa)],[axiom_4]) ).
cnf(l0,plain,
cUnsatisfiable(i2003_11_14_17_20_18265),
inference(instantiation,[status(thm)],[22]) ).
fof(axiom_2,plain,
! [X] :
( cUnsatisfiable(X)
<=> ( ? [Y] :
( rr(X,Y)
& cc(Y) )
& ? [Y] :
( rr(X,Y)
& cd(Y) )
& ! [Y0,Y1] :
( ( rr(X,Y0)
& rr(X,Y1) )
=> Y0 = Y1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
cnf(17,plain,
( ~ cUnsatisfiable(X0)
| ~ rr(X0,X1)
| ~ rr(X0,X2)
| X1 = X2 ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l1,plain,
( ~ cUnsatisfiable(i2003_11_14_17_20_18265)
| ~ rr(i2003_11_14_17_20_18265,sK1(i2003_11_14_17_20_18265))
| ~ rr(i2003_11_14_17_20_18265,sK2(i2003_11_14_17_20_18265))
| sK1(i2003_11_14_17_20_18265) = sK2(i2003_11_14_17_20_18265) ),
inference(instantiation,[status(thm)],[17]) ).
cnf(13,plain,
( ~ cUnsatisfiable(X0)
| rr(X0,sK1(X0)) ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l30,plain,
( ~ cUnsatisfiable(i2003_11_14_17_20_18265)
| rr(i2003_11_14_17_20_18265,sK1(i2003_11_14_17_20_18265)) ),
inference(instantiation,[status(thm)],[13]) ).
cnf(15,plain,
( ~ cUnsatisfiable(X0)
| rr(X0,sK2(X0)) ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l3,plain,
( ~ cUnsatisfiable(i2003_11_14_17_20_18265)
| rr(i2003_11_14_17_20_18265,sK2(i2003_11_14_17_20_18265)) ),
inference(instantiation,[status(thm)],[15]) ).
fof(cc_substitution_1,plain,
! [A,B] :
( ( A = B
& cc(A) )
=> cc(B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc_substitution_1) ).
cnf(1,plain,
( X0 != X1
| ~ cc(X0)
| cc(X1) ),
inference(cnf,[status(esa)],[cc_substitution_1]) ).
cnf(l78,plain,
( sK1(i2003_11_14_17_20_18265) != sK2(i2003_11_14_17_20_18265)
| ~ cc(sK1(i2003_11_14_17_20_18265))
| cc(sK2(i2003_11_14_17_20_18265)) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(14,plain,
( ~ cUnsatisfiable(X0)
| cc(sK1(X0)) ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l79,plain,
( ~ cUnsatisfiable(i2003_11_14_17_20_18265)
| cc(sK1(i2003_11_14_17_20_18265)) ),
inference(instantiation,[status(thm)],[14]) ).
fof(axiom_3,plain,
! [X] :
( cc(X)
=> ~ cd(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
cnf(21,plain,
( ~ cc(X0)
| ~ cd(X0) ),
inference(cnf,[status(esa)],[axiom_3]) ).
cnf(l82,plain,
( ~ cc(sK2(i2003_11_14_17_20_18265))
| ~ cd(sK2(i2003_11_14_17_20_18265)) ),
inference(instantiation,[status(thm)],[21]) ).
cnf(16,plain,
( ~ cUnsatisfiable(X0)
| cd(sK2(X0)) ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l88,plain,
( ~ cUnsatisfiable(i2003_11_14_17_20_18265)
| cd(sK2(i2003_11_14_17_20_18265)) ),
inference(instantiation,[status(thm)],[16]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l30,l3,l78,l79,l82,l88]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : KRS096+1 : TPTP v9.0.0. Released v3.1.0.
% 0.03/0.12 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n018.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Sun Jul 20 22:12:04 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.33 % launching worker at depth: 3
% 0.12/0.33 % launching worker at depth: 1
% 0.12/0.33 % launching worker at depth: 2
% 0.12/0.33 % launching worker at depth: 4
% 0.12/0.33 % launching worker at depth: 5
% 0.12/0.33 % launching worker at depth: 7
% 0.12/0.33 % launching worker at depth: 6
% 0.12/0.33 % launching worker at depth: 8
% 0.12/0.34 % launching worker at depth: 9
% 0.12/0.34 % launching worker at depth: 10
% 0.18/0.38 % launching worker at depth: 11
% 0.18/0.44 % SZS status Theorem for theBenchmark
% 0.18/0.44 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------