%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : ALG201+1 : TPTP v9.0.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n025.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 09:45:57 AM UTC 2025
% Result : Theorem 5.88s 1.10s
% Output : CNFRefutation 5.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 22 ( 9 unt; 0 def)
% Number of atoms : 64 ( 17 equ)
% Maximal formula atoms : 14 ( 2 avg)
% Number of connectives : 62 ( 20 ~; 12 |; 8 &)
% ( 0 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 1 con; 0-2 aty)
% Number of variables : 26 ( 0 sgn 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(co1,plain,
( ( ! [U] :
( sorti1(U)
=> sorti2(h(U)) )
& ! [V] :
( sorti2(V)
=> sorti1(j(V)) ) )
=> ~ ( ! [W] :
( sorti1(W)
=> ! [X] :
( sorti1(X)
=> h(op1(W,X)) = op2(h(W),h(X)) ) )
& ! [Y] :
( sorti2(Y)
=> ! [Z] :
( sorti2(Z)
=> j(op2(Y,Z)) = op1(j(Y),j(Z)) ) )
& ! [X1] :
( sorti2(X1)
=> h(j(X1)) = X1 )
& ! [X2] :
( sorti1(X2)
=> j(h(X2)) = X2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(co1_negated,plain,
~ ( ( ! [U] :
( sorti1(U)
=> sorti2(h(U)) )
& ! [V] :
( sorti2(V)
=> sorti1(j(V)) ) )
=> ~ ( ! [W] :
( sorti1(W)
=> ! [X] :
( sorti1(X)
=> h(op1(W,X)) = op2(h(W),h(X)) ) )
& ! [Y] :
( sorti2(Y)
=> ! [Z] :
( sorti2(Z)
=> j(op2(Y,Z)) = op1(j(Y),j(Z)) ) )
& ! [X1] :
( sorti2(X1)
=> h(j(X1)) = X1 )
& ! [X2] :
( sorti1(X2)
=> j(h(X2)) = X2 ) ) ),
inference(negate_conjecture,[status(cth)],[co1]) ).
cnf(6,plain,
( ~ sorti2(X0)
| sorti1(j(X0)) ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l0,plain,
( ~ sorti2(op2(sK1,sK1))
| sorti1(j(op2(sK1,sK1))) ),
inference(instantiation,[status(thm)],[6]) ).
fof(ax3,plain,
! [U] :
( sorti1(U)
=> op1(U,U) != U ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
cnf(2,plain,
( ~ sorti1(X0)
| op1(X0,X0) != X0 ),
inference(cnf,[status(esa)],[ax3]) ).
cnf(l2,plain,
( ~ sorti1(j(op2(sK1,sK1)))
| op1(j(op2(sK1,sK1)),j(op2(sK1,sK1))) != j(op2(sK1,sK1)) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(8,plain,
( ~ sorti2(X0)
| ~ sorti2(X1)
| j(op2(X0,X1)) = op1(j(X0),j(X1)) ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l86,plain,
( ~ sorti2(sK1)
| ~ sorti2(sK1)
| j(op2(sK1,sK1)) = op1(j(sK1),j(sK1)) ),
inference(instantiation,[status(thm)],[8]) ).
fof(ax4,plain,
~ ! [U] :
( sorti2(U)
=> op2(U,U) != U ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
cnf(4,plain,
op2(sK1,sK1) = sK1,
inference(cnf,[status(esa)],[ax4]) ).
cnf(l94,plain,
op2(sK1,sK1) = sK1,
inference(instantiation,[status(thm)],[4]) ).
cnf(3,plain,
sorti2(sK1),
inference(cnf,[status(esa)],[ax4]) ).
cnf(l89,plain,
sorti2(sK1),
inference(instantiation,[status(thm)],[3]) ).
fof(ax2,plain,
! [U] :
( sorti2(U)
=> ! [V] :
( sorti2(V)
=> sorti2(op2(U,V)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
cnf(1,plain,
( ~ sorti2(X0)
| ~ sorti2(X1)
| sorti2(op2(X0,X1)) ),
inference(cnf,[status(esa)],[ax2]) ).
cnf(l1,plain,
( ~ sorti2(sK1)
| ~ sorti2(sK1)
| sorti2(op2(sK1,sK1)) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(l107,plain,
op2(sK1,sK1) = sK1,
inference(instantiation,[status(thm)],[4]) ).
cnf(l3,plain,
sorti2(sK1),
inference(instantiation,[status(thm)],[3]) ).
cnf(l87,plain,
sorti2(sK1),
inference(instantiation,[status(thm)],[3]) ).
cnf(l62,plain,
sorti2(sK1),
inference(instantiation,[status(thm)],[3]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l2,l86,l94,l89,l1,l107,l3,l87,l62]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.11 % Problem : ALG201+1 : TPTP v9.0.0. Released v2.7.0.
% 0.08/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n025.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 02:43:04 EDT 2025
% 0.12/0.33 % CPUTime :
% 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: 3
% 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: 6
% 0.12/0.33 % launching worker at depth: 7
% 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
% 0.12/0.38 % launching worker at depth: 11
% 2.77/0.72 % launching worker at depth: 12
% 5.88/1.10 % SZS status Theorem for theBenchmark
% 5.88/1.10 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------