%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SWV366+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 : n017.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 04:46:47 PM UTC 2025
% Result : Theorem 44.49s 5.95s
% Output : CNFRefutation 44.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 20 ( 13 unt; 0 def)
% Number of atoms : 33 ( 21 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 25 ( 12 ~; 9 |; 1 &)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 8 con; 0-3 aty)
% Number of variables : 61 ( 13 sgn 34 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(l2_co,plain,
! [U] :
( ! [V,W,X,Y] : i(triple(V,U,X)) = i(triple(W,U,Y))
=> ! [Z,X1,X2,X3,X4,X5] : i(triple(Z,insert_slb(U,pair(X4,X5)),X2)) = i(triple(X1,insert_slb(U,pair(X4,X5)),X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l2_co) ).
fof(l2_co_negated,plain,
~ ! [U] :
( ! [V,W,X,Y] : i(triple(V,U,X)) = i(triple(W,U,Y))
=> ! [Z,X1,X2,X3,X4,X5] : i(triple(Z,insert_slb(U,pair(X4,X5)),X2)) = i(triple(X1,insert_slb(U,pair(X4,X5)),X3)) ),
inference(negate_conjecture,[status(cth)],[l2_co]) ).
cnf(86,plain,
i(triple(X0,sK8,X1)) = i(triple(X2,sK8,X3)),
inference(cnf,[status(esa)],[l2_co_negated]) ).
cnf(l0,plain,
i(triple(sK9,sK8,sK11)) = i(triple(sK10,sK8,sK12)),
inference(instantiation,[status(thm)],[86]) ).
fof(ax23,plain,
! [U,V,W,X,Y] :
( pair_in_list(insert_slb(U,pair(V,X)),W,Y)
<=> ( pair_in_list(U,W,Y)
| ( V = W
& X = Y ) ) ),
file('Axioms/SWV007+2.ax',ax23) ).
cnf(33,plain,
( X0 != X1
| X2 != X3
| pair_in_list(insert_slb(X4,pair(X0,X2)),X1,X3) ),
inference(cnf,[status(esa)],[ax23]) ).
cnf(l1,plain,
( i(triple(sK9,sK8,sK11)) != i(triple(sK10,sK8,sK12))
| i(triple(sK9,insert_slb(sK8,pair(sK13,sK14)),sK11)) != insert_pq(i(triple(sK10,sK8,sK12)),sK13)
| pair_in_list(insert_slb(create_slb,pair(i(triple(sK9,sK8,sK11)),i(triple(sK9,insert_slb(sK8,pair(sK13,sK14)),sK11)))),i(triple(sK10,sK8,sK12)),insert_pq(i(triple(sK10,sK8,sK12)),sK13)) ),
inference(instantiation,[status(thm)],[33]) ).
cnf(l34,plain,
i(triple(sK10,sK8,sK12)) = i(triple(X2_34,sK8,X3_34)),
inference(instantiation,[status(thm)],[86]) ).
cnf(31,plain,
( ~ pair_in_list(insert_slb(X0,pair(X1,X2)),X3,X4)
| X2 = X4
| pair_in_list(X0,X3,X4) ),
inference(cnf,[status(esa)],[ax23]) ).
cnf(l101,plain,
( ~ pair_in_list(insert_slb(create_slb,pair(i(triple(sK9,sK8,sK11)),i(triple(sK9,insert_slb(sK8,pair(sK13,sK14)),sK11)))),i(triple(X2_34,sK8,X3_34)),i(triple(sK10,insert_slb(sK8,pair(sK13,sK14)),sK12)))
| i(triple(sK9,insert_slb(sK8,pair(sK13,sK14)),sK11)) = i(triple(sK10,insert_slb(sK8,pair(sK13,sK14)),sK12))
| pair_in_list(create_slb,i(triple(X2_34,sK8,X3_34)),i(triple(sK10,insert_slb(sK8,pair(sK13,sK14)),sK12))) ),
inference(instantiation,[status(thm)],[31]) ).
fof(ax22,plain,
! [U,V] : ~ pair_in_list(create_slb,U,V),
file('Axioms/SWV007+2.ax',ax22) ).
cnf(29,plain,
~ pair_in_list(create_slb,X0,X1),
inference(cnf,[status(esa)],[ax22]) ).
cnf(l103,plain,
~ pair_in_list(create_slb,i(triple(X2_34,sK8,X3_34)),i(triple(sK10,insert_slb(sK8,pair(sK13,sK14)),sK12))),
inference(instantiation,[status(thm)],[29]) ).
cnf(87,plain,
i(triple(sK9,insert_slb(sK8,pair(sK13,sK14)),sK11)) != i(triple(sK10,insert_slb(sK8,pair(sK13,sK14)),sK12)),
inference(cnf,[status(esa)],[l2_co_negated]) ).
cnf(l102,plain,
i(triple(sK9,insert_slb(sK8,pair(sK13,sK14)),sK11)) != i(triple(sK10,insert_slb(sK8,pair(sK13,sK14)),sK12)),
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(l42,plain,
i(triple(sK10,insert_slb(sK8,pair(sK13,sK14)),sK12)) = insert_pq(i(triple(sK10,sK8,sK12)),sK13),
inference(instantiation,[status(thm)],[67]) ).
cnf(l81,plain,
i(triple(sK9,insert_slb(sK8,pair(sK13,sK14)),sK11)) = insert_pq(i(triple(sK9,sK8,sK11)),sK13),
inference(instantiation,[status(thm)],[67]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l34,l101,l103,l102,l42,l81]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV366+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
% 0.13/0.34 % Computer : n017.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 09:04:49 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % launching worker at depth: 3
% 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: 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
% 0.13/0.39 % launching worker at depth: 10
% 5.95/1.10 % launching worker at depth: 11
% 44.49/5.95 % SZS status Theorem for theBenchmark
% 44.49/5.95 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------