%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SYN083+1 : TPTP v9.0.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n022.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 : Fri Jul 25 09:26:50 PM UTC 2025
% Result : Theorem 0.14s 0.34s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 2
% Syntax : Number of formulae : 9 ( 9 unt; 0 def)
% Number of atoms : 9 ( 8 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 14 ( 0 sgn 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(pel61,plain,
! [X,Y,Z,W] : f(X,f(Y,f(Z,W))) = f(f(f(X,Y),Z),W),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel61) ).
fof(pel61_negated,plain,
~ ! [X,Y,Z,W] : f(X,f(Y,f(Z,W))) = f(f(f(X,Y),Z),W),
inference(negate_conjecture,[status(cth)],[pel61]) ).
cnf(1,plain,
f(sK1,f(sK2,f(sK3,sK4))) != f(f(f(sK1,sK2),sK3),sK4),
inference(cnf,[status(esa)],[pel61_negated]) ).
cnf(l0,plain,
f(sK1,f(sK2,f(sK3,sK4))) != f(f(f(sK1,sK2),sK3),sK4),
inference(instantiation,[status(thm)],[1]) ).
fof(p61_1,plain,
! [X,Y,Z] : f(X,f(Y,Z)) = f(f(X,Y),Z),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p61_1) ).
cnf(0,plain,
f(X0,f(X1,X2)) = f(f(X0,X1),X2),
inference(cnf,[status(esa)],[p61_1]) ).
cnf(l2,plain,
f(sK1,f(sK2,f(sK3,sK4))) = f(f(sK1,sK2),f(sK3,sK4)),
inference(instantiation,[status(thm)],[0]) ).
cnf(l3,plain,
f(f(sK1,sK2),f(sK3,sK4)) = f(f(f(sK1,sK2),sK3),sK4),
inference(instantiation,[status(thm)],[0]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l2,l3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SYN083+1 : TPTP v9.0.0. Released v2.0.0.
% 0.06/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.34 % Computer : n022.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Jul 22 15:34:34 EDT 2025
% 0.14/0.34 % CPUTime :
% 0.14/0.34 % launching worker at depth: 1
% 0.14/0.34 % launching worker at depth: 8
% 0.14/0.34 % launching worker at depth: 2
% 0.14/0.34 % launching worker at depth: 3
% 0.14/0.34 % launching worker at depth: 7
% 0.14/0.34 % launching worker at depth: 4
% 0.14/0.34 % launching worker at depth: 5
% 0.14/0.34 % launching worker at depth: 6
% 0.14/0.34 % launching worker at depth: 9
% 0.14/0.34 % SZS status Theorem for theBenchmark
% 0.14/0.34 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------