%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : GEO499+1 : TPTP v9.0.0. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n032.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 01:39:06 PM UTC 2025
% Result : Theorem 95.17s 12.38s
% Output : CNFRefutation 95.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 20 ( 10 unt; 0 def)
% Number of atoms : 35 ( 20 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 33 ( 18 ~; 15 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 28 ( 0 sgn 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(aSatz7_15b,plain,
! [Xp,Xq,Xr,Xa] :
( s_t(Xp,Xq,Xr)
| ~ s_t(s(Xa,Xp),s(Xa,Xq),s(Xa,Xr)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz7_15b) ).
fof(aSatz7_15b_negated,plain,
~ ! [Xp,Xq,Xr,Xa] :
( s_t(Xp,Xq,Xr)
| ~ s_t(s(Xa,Xp),s(Xa,Xq),s(Xa,Xr)) ),
inference(negate_conjecture,[status(cth)],[aSatz7_15b]) ).
cnf(119,plain,
~ s_t(sK1,sK2,sK3),
inference(cnf,[status(esa)],[aSatz7_15b_negated]) ).
cnf(l0,plain,
~ s_t(sK1,sK2,sK3),
inference(instantiation,[status(thm)],[119]) ).
fof(aSatz7_8,plain,
! [Xa,Xp,Xr,Xq] :
( s(Xa,Xp) != Xr
| s(Xa,Xq) != Xr
| Xp = Xq ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz7_8) ).
cnf(113,plain,
( s(X0,X1) != X2
| s(X0,X3) != X2
| X1 = X3 ),
inference(cnf,[status(esa)],[aSatz7_8]) ).
cnf(l26,plain,
( s(sK4,s(sK4,s(sK4,sK3))) != s(sK4,sK3)
| s(sK4,sK3) != s(sK4,sK3)
| s(sK4,s(sK4,sK3)) = sK3 ),
inference(instantiation,[status(thm)],[113]) ).
cnf(l2,plain,
( s(sK4,s(sK4,s(sK4,sK1))) != s(sK4,sK1)
| s(sK4,sK1) != s(sK4,sK1)
| s(sK4,s(sK4,sK1)) = sK1 ),
inference(instantiation,[status(thm)],[113]) ).
fof(aSatz7_7,plain,
! [Xa,Xp] : s(Xa,s(Xa,Xp)) = Xp,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz7_7) ).
cnf(112,plain,
s(X0,s(X0,X1)) = X1,
inference(cnf,[status(esa)],[aSatz7_7]) ).
cnf(l8,plain,
s(sK4,s(sK4,s(sK4,sK1))) = s(sK4,sK1),
inference(instantiation,[status(thm)],[112]) ).
cnf(l29,plain,
s(sK4,s(sK4,s(sK4,sK3))) = s(sK4,sK3),
inference(instantiation,[status(thm)],[112]) ).
cnf(l9,plain,
( s(sK4,s(sK4,s(sK4,sK2))) != s(sK4,sK2)
| s(sK4,sK2) != s(sK4,sK2)
| s(sK4,s(sK4,sK2)) = sK2 ),
inference(instantiation,[status(thm)],[113]) ).
cnf(l15,plain,
s(sK4,s(sK4,s(sK4,sK2))) = s(sK4,sK2),
inference(instantiation,[status(thm)],[112]) ).
fof(aSatz7_15a,plain,
! [Xp,Xq,Xr,Xa] :
( ~ s_t(Xp,Xq,Xr)
| s_t(s(Xa,Xp),s(Xa,Xq),s(Xa,Xr)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz7_15a) ).
cnf(118,plain,
( ~ s_t(X0,X1,X2)
| s_t(s(X3,X0),s(X3,X1),s(X3,X2)) ),
inference(cnf,[status(esa)],[aSatz7_15a]) ).
cnf(l12,plain,
( ~ s_t(s(sK4,sK1),s(sK4,sK2),s(sK4,sK3))
| s_t(s(sK4,s(sK4,sK1)),s(sK4,s(sK4,sK2)),s(sK4,s(sK4,sK3))) ),
inference(instantiation,[status(thm)],[118]) ).
cnf(120,plain,
s_t(s(sK4,sK1),s(sK4,sK2),s(sK4,sK3)),
inference(cnf,[status(esa)],[aSatz7_15b_negated]) ).
cnf(l13,plain,
s_t(s(sK4,sK1),s(sK4,sK2),s(sK4,sK3)),
inference(instantiation,[status(thm)],[120]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l26,l2,l8,l29,l9,l15,l12,l13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : GEO499+1 : TPTP v9.0.0. Released v7.0.0.
% 0.00/0.09 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.28 % Computer : n032.cluster.edu
% 0.08/0.28 % Model : x86_64 x86_64
% 0.08/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28 % Memory : 8042.1875MB
% 0.08/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28 % CPULimit : 300
% 0.08/0.28 % WCLimit : 300
% 0.08/0.28 % DateTime : Sun Jul 20 12:30:34 EDT 2025
% 0.08/0.28 % CPUTime :
% 0.08/0.28 % launching worker at depth: 2
% 0.08/0.28 % launching worker at depth: 4
% 0.08/0.28 % launching worker at depth: 3
% 0.08/0.28 % launching worker at depth: 1
% 0.08/0.28 % launching worker at depth: 5
% 0.08/0.28 % launching worker at depth: 6
% 0.08/0.28 % launching worker at depth: 8
% 0.08/0.28 % launching worker at depth: 7
% 0.08/0.29 % launching worker at depth: 9
% 0.13/0.41 % launching worker at depth: 10
% 95.17/12.38 % SZS status Theorem for theBenchmark
% 95.17/12.38 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------