%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SWV416+1 : TPTP v9.0.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n028.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 04:46:53 PM UTC 2025
% Result : Theorem 0.13s 0.39s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 16 ( 3 unt; 0 def)
% Number of atoms : 33 ( 7 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 28 ( 11 ~; 8 |; 2 &)
% ( 2 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-3 aty)
% Number of variables : 24 ( 0 sgn 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(co3,plain,
! [U,V,W,X] :
( pi_remove(triple(U,V,W),X)
=> ( phi(remove_cpq(triple(U,V,W),X))
=> ( pi_sharp_remove(i(triple(U,V,W)),X)
& i(remove_cpq(triple(U,V,W),X)) = remove_pq(i(triple(U,V,W)),X) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co3) ).
fof(co3_negated,plain,
~ ! [U,V,W,X] :
( pi_remove(triple(U,V,W),X)
=> ( phi(remove_cpq(triple(U,V,W),X))
=> ( pi_sharp_remove(i(triple(U,V,W)),X)
& i(remove_cpq(triple(U,V,W),X)) = remove_pq(i(triple(U,V,W)),X) ) ) ),
inference(negate_conjecture,[status(cth)],[co3]) ).
cnf(88,plain,
pi_remove(triple(sK8,sK9,sK10),sK11),
inference(cnf,[status(esa)],[co3_negated]) ).
cnf(l0,plain,
pi_remove(triple(sK8,sK9,sK10),sK11),
inference(instantiation,[status(thm)],[88]) ).
fof(ax57,plain,
! [U,V] :
( pi_remove(U,V)
<=> pi_sharp_remove(i(U),V) ),
file('Axioms/SWV007+4.ax',ax57) ).
cnf(70,plain,
( ~ pi_remove(X0,X1)
| pi_sharp_remove(i(X0),X1) ),
inference(cnf,[status(esa)],[ax57]) ).
cnf(l1,plain,
( ~ pi_remove(triple(sK8,sK9,sK10),sK11)
| pi_sharp_remove(i(triple(sK8,sK9,sK10)),sK11) ),
inference(instantiation,[status(thm)],[70]) ).
fof(ax56,plain,
! [U,V] :
( pi_sharp_remove(U,V)
<=> contains_pq(U,V) ),
file('Axioms/SWV007+4.ax',ax56) ).
cnf(68,plain,
( ~ pi_sharp_remove(X0,X1)
| contains_pq(X0,X1) ),
inference(cnf,[status(esa)],[ax56]) ).
cnf(l4,plain,
( ~ pi_sharp_remove(i(triple(sK8,sK9,sK10)),sK11)
| contains_pq(i(triple(sK8,sK9,sK10)),sK11) ),
inference(instantiation,[status(thm)],[68]) ).
fof(main3_li34,plain,
! [U,V,W,X] :
( contains_pq(i(triple(U,V,W)),X)
=> i(remove_cpq(triple(U,V,W),X)) = remove_pq(i(triple(U,V,W)),X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',main3_li34) ).
cnf(87,plain,
( ~ contains_pq(i(triple(X0,X1,X2)),X3)
| i(remove_cpq(triple(X0,X1,X2),X3)) = remove_pq(i(triple(X0,X1,X2)),X3) ),
inference(cnf,[status(esa)],[main3_li34]) ).
cnf(l5,plain,
( ~ contains_pq(i(triple(sK8,sK9,sK10)),sK11)
| i(remove_cpq(triple(sK8,sK9,sK10),sK11)) = remove_pq(i(triple(sK8,sK9,sK10)),sK11) ),
inference(instantiation,[status(thm)],[87]) ).
cnf(90,plain,
( i(remove_cpq(triple(sK8,sK9,sK10),sK11)) != remove_pq(i(triple(sK8,sK9,sK10)),sK11)
| ~ pi_sharp_remove(i(triple(sK8,sK9,sK10)),sK11) ),
inference(cnf,[status(esa)],[co3_negated]) ).
cnf(l43,plain,
( i(remove_cpq(triple(sK8,sK9,sK10),sK11)) != remove_pq(i(triple(sK8,sK9,sK10)),sK11)
| ~ pi_sharp_remove(i(triple(sK8,sK9,sK10)),sK11) ),
inference(instantiation,[status(thm)],[90]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l4,l5,l43]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : SWV416+1 : TPTP v9.0.0. Released v3.3.0.
% 0.08/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % Computer : n028.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Jul 22 09:12:19 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % launching worker at depth: 1
% 0.13/0.35 % launching worker at depth: 2
% 0.13/0.35 % launching worker at depth: 3
% 0.13/0.35 % launching worker at depth: 4
% 0.13/0.35 % launching worker at depth: 5
% 0.13/0.35 % launching worker at depth: 6
% 0.13/0.35 % launching worker at depth: 7
% 0.13/0.35 % launching worker at depth: 8
% 0.13/0.35 % launching worker at depth: 9
% 0.13/0.36 % launching worker at depth: 10
% 0.13/0.39 % SZS status Theorem for theBenchmark
% 0.13/0.39 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------