%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : GEO524+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 : n029.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 01:39:08 PM UTC 2025
% Result : Theorem 78.41s 10.22s
% Output : CNFRefutation 78.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 15 ( 7 unt; 0 def)
% Number of atoms : 28 ( 27 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 23 ( 10 ~; 13 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-3 aty)
% Number of variables : 22 ( 0 sgn 15 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(aSatz10_7,plain,
! [Xa,Xb,Xp,Xq] :
( Xa = Xb
| reflect(Xa,Xb,Xp) != reflect(Xa,Xb,Xq)
| Xp = Xq ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz10_7) ).
fof(aSatz10_7_negated,plain,
~ ! [Xa,Xb,Xp,Xq] :
( Xa = Xb
| reflect(Xa,Xb,Xp) != reflect(Xa,Xb,Xq)
| Xp = Xq ),
inference(negate_conjecture,[status(cth)],[aSatz10_7]) ).
cnf(219,plain,
sK1 != sK2,
inference(cnf,[status(esa)],[aSatz10_7_negated]) ).
cnf(l0,plain,
sK1 != sK2,
inference(instantiation,[status(thm)],[219]) ).
fof(aSatz10_6,plain,
! [Xa,Xb,Xp,Xp1] :
( Xa = Xb
| reflect(Xa,Xb,Xp) != Xp1
| Xp = reflect(Xa,Xb,Xp1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz10_6) ).
cnf(218,plain,
( reflect(X0,X1,X2) != X3
| X0 = X1
| X2 = reflect(X0,X1,X3) ),
inference(cnf,[status(esa)],[aSatz10_6]) ).
cnf(l1,plain,
( reflect(sK1,sK2,sK3) != reflect(sK1,sK2,sK4)
| sK1 = sK2
| sK3 = reflect(sK1,sK2,reflect(sK1,sK2,sK4)) ),
inference(instantiation,[status(thm)],[218]) ).
cnf(220,plain,
reflect(sK1,sK2,sK3) = reflect(sK1,sK2,sK4),
inference(cnf,[status(esa)],[aSatz10_7_negated]) ).
cnf(l8,plain,
reflect(sK1,sK2,sK3) = reflect(sK1,sK2,sK4),
inference(instantiation,[status(thm)],[220]) ).
fof(aSatz10_5,plain,
! [Xa,Xb,Xp] :
( Xa = Xb
| reflect(Xa,Xb,reflect(Xa,Xb,Xp)) = Xp ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz10_5) ).
cnf(217,plain,
( X0 = X1
| reflect(X0,X1,reflect(X0,X1,X2)) = X2 ),
inference(cnf,[status(esa)],[aSatz10_5]) ).
cnf(l86,plain,
( sK1 = sK2
| reflect(sK1,sK2,reflect(sK1,sK2,sK4)) = sK4 ),
inference(instantiation,[status(thm)],[217]) ).
cnf(221,plain,
sK3 != sK4,
inference(cnf,[status(esa)],[aSatz10_7_negated]) ).
cnf(l84,plain,
sK3 != sK4,
inference(instantiation,[status(thm)],[221]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l8,l86,l84]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : GEO524+1 : TPTP v9.0.0. Released v7.0.0.
% 0.11/0.12 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.33 % Computer : n029.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Sun Jul 20 12:35:34 EDT 2025
% 0.19/0.33 % CPUTime :
% 0.19/0.35 % launching worker at depth: 7
% 0.19/0.35 % launching worker at depth: 1
% 0.19/0.35 % launching worker at depth: 8
% 0.19/0.35 % launching worker at depth: 4
% 0.19/0.35 % launching worker at depth: 2
% 0.19/0.35 % launching worker at depth: 3
% 0.19/0.35 % launching worker at depth: 5
% 0.19/0.35 % launching worker at depth: 6
% 0.19/0.36 % launching worker at depth: 9
% 5.98/1.11 % launching worker at depth: 10
% 78.41/10.22 % SZS status Theorem for theBenchmark
% 78.41/10.22 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------