%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SWV415+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 : n023.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 04:46:52 PM UTC 2025
% Result : Theorem 0.14s 0.38s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 14 ( 14 unt; 0 def)
% Number of atoms : 14 ( 13 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 : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 5 con; 0-3 aty)
% Number of variables : 36 ( 5 sgn 22 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(co2,plain,
! [U,V,W,X] : i(insert_cpq(triple(U,V,W),X)) = insert_pq(i(triple(U,V,W)),X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co2) ).
fof(co2_negated,plain,
~ ! [U,V,W,X] : i(insert_cpq(triple(U,V,W),X)) = insert_pq(i(triple(U,V,W)),X),
inference(negate_conjecture,[status(cth)],[co2]) ).
cnf(87,plain,
i(insert_cpq(triple(sK8,sK9,sK10),sK11)) != insert_pq(i(triple(sK8,sK9,sK10)),sK11),
inference(cnf,[status(esa)],[co2_negated]) ).
cnf(l0,plain,
i(insert_cpq(triple(sK8,sK9,sK10),sK11)) != insert_pq(i(triple(sK8,sK9,sK10)),sK11),
inference(instantiation,[status(thm)],[87]) ).
fof(ax55,plain,
! [U,V,W,X,Y] : i(triple(U,insert_slb(V,pair(X,Y)),W)) = insert_pq(i(triple(U,V,W)),X),
file('Axioms/SWV007+4.ax',ax55) ).
cnf(67,plain,
i(triple(X0,insert_slb(X1,pair(X2,X3)),X4)) = insert_pq(i(triple(X0,X1,X4)),X2),
inference(cnf,[status(esa)],[ax55]) ).
cnf(l5,plain,
i(triple(sK8,insert_slb(sK9,pair(sK11,bottom)),sK10)) = insert_pq(i(triple(sK8,sK9,sK10)),sK11),
inference(instantiation,[status(thm)],[67]) ).
fof(main2_l12,plain,
! [U,V,W,X,Y] : i(triple(U,W,X)) = i(triple(V,W,Y)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',main2_l12) ).
cnf(86,plain,
i(triple(X0,X1,X2)) = i(triple(X3,X1,X4)),
inference(cnf,[status(esa)],[main2_l12]) ).
cnf(l6,plain,
i(triple(insert_pqp(sK8,sK11),insert_slb(sK9,pair(sK11,bottom)),sK10)) = i(triple(sK8,insert_slb(sK9,pair(sK11,bottom)),sK10)),
inference(instantiation,[status(thm)],[86]) ).
fof(ax42,plain,
! [U,V,W,X] : insert_cpq(triple(U,V,W),X) = triple(insert_pqp(U,X),insert_slb(V,pair(X,bottom)),W),
file('Axioms/SWV007+3.ax',ax42) ).
cnf(54,plain,
insert_cpq(triple(X0,X1,X2),X3) = triple(insert_pqp(X0,X3),insert_slb(X1,pair(X3,bottom)),X2),
inference(cnf,[status(esa)],[ax42]) ).
cnf(l3,plain,
insert_cpq(triple(sK8,sK9,sK10),sK11) = triple(insert_pqp(sK8,sK11),insert_slb(sK9,pair(sK11,bottom)),sK10),
inference(instantiation,[status(thm)],[54]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l5,l6,l3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV415+1 : TPTP v9.0.0. Released v3.3.0.
% 0.07/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.34 % Computer : n023.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 09:11:49 EDT 2025
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % launching worker at depth: 1
% 0.14/0.35 % launching worker at depth: 2
% 0.14/0.35 % launching worker at depth: 8
% 0.14/0.35 % launching worker at depth: 3
% 0.14/0.35 % launching worker at depth: 5
% 0.14/0.35 % launching worker at depth: 6
% 0.14/0.35 % launching worker at depth: 7
% 0.14/0.35 % launching worker at depth: 4
% 0.14/0.35 % launching worker at depth: 9
% 0.14/0.36 % launching worker at depth: 10
% 0.14/0.38 % SZS status Theorem for theBenchmark
% 0.14/0.38 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------