%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SWV377+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 : n024.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 04:46:48 PM UTC 2025
% Result : Theorem 24.77s 3.44s
% Output : CNFRefutation 24.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of formulae : 24 ( 13 unt; 0 def)
% Number of atoms : 41 ( 14 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 36 ( 19 ~; 11 |; 1 &)
% ( 2 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 7 con; 0-3 aty)
% Number of variables : 45 ( 8 sgn 24 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(l13_co,plain,
! [U,V,W,X] :
( ~ ok(triple(U,V,W))
=> ~ ok(insert_cpq(triple(U,V,W),X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l13_co) ).
fof(l13_co_negated,plain,
~ ! [U,V,W,X] :
( ~ ok(triple(U,V,W))
=> ~ ok(insert_cpq(triple(U,V,W),X)) ),
inference(negate_conjecture,[status(cth)],[l13_co]) ).
cnf(50,plain,
~ ok(triple(sK1,sK2,sK3)),
inference(cnf,[status(esa)],[l13_co_negated]) ).
cnf(l0,plain,
~ ok(triple(sK1,sK2,sK3)),
inference(instantiation,[status(thm)],[50]) ).
fof(ax41,plain,
! [U,V,W] :
( ~ ok(triple(U,V,W))
=> W = bad ),
file('Axioms/SWV007+3.ax',ax41) ).
cnf(37,plain,
( X0 = bad
| ok(triple(X1,X2,X0)) ),
inference(cnf,[status(esa)],[ax41]) ).
cnf(l1,plain,
( sK3 = bad
| ok(triple(sK1,sK2,sK3)) ),
inference(instantiation,[status(thm)],[37]) ).
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(17,plain,
( X0 != X1
| X2 != X3
| pair_in_list(insert_slb(X4,pair(X0,X2)),X1,X3) ),
inference(cnf,[status(esa)],[ax23]) ).
cnf(l2,plain,
( insert_cpq(triple(sK1,sK2,sK3),sK4) != triple(insert_pqp(sK1,sK4),insert_slb(sK2,pair(sK4,bottom)),bad)
| sK3 != bad
| pair_in_list(insert_slb(create_slb,pair(insert_cpq(triple(sK1,sK2,sK3),sK4),sK3)),triple(insert_pqp(sK1,sK4),insert_slb(sK2,pair(sK4,bottom)),bad),bad) ),
inference(instantiation,[status(thm)],[17]) ).
cnf(14,plain,
( ~ pair_in_list(insert_slb(X0,pair(X1,X2)),X3,X4)
| X1 = X3
| pair_in_list(X0,X3,X4) ),
inference(cnf,[status(esa)],[ax23]) ).
cnf(l23,plain,
( ~ pair_in_list(insert_slb(create_slb,pair(insert_cpq(triple(sK1,sK2,sK3),sK4),sK3)),triple(insert_pqp(sK1,sK4),insert_slb(sK2,pair(sK4,bottom)),bad),bad)
| insert_cpq(triple(sK1,sK2,sK3),sK4) = triple(insert_pqp(sK1,sK4),insert_slb(sK2,pair(sK4,bottom)),bad)
| pair_in_list(create_slb,triple(insert_pqp(sK1,sK4),insert_slb(sK2,pair(sK4,bottom)),bad),bad) ),
inference(instantiation,[status(thm)],[14]) ).
fof(ax22,plain,
! [U,V] : ~ pair_in_list(create_slb,U,V),
file('Axioms/SWV007+2.ax',ax22) ).
cnf(13,plain,
~ pair_in_list(create_slb,X0,X1),
inference(cnf,[status(esa)],[ax22]) ).
cnf(l61,plain,
~ pair_in_list(create_slb,triple(insert_pqp(sK1,sK4),insert_slb(sK2,pair(sK4,bottom)),bad),bad),
inference(instantiation,[status(thm)],[13]) ).
fof(ax40,plain,
! [U,V] :
( ok(triple(U,V,bad))
<=> $false ),
file('Axioms/SWV007+3.ax',ax40) ).
cnf(36,plain,
~ ok(triple(X0,X1,bad)),
inference(cnf,[status(esa)],[ax40]) ).
cnf(l26,plain,
~ ok(triple(insert_pqp(sK1,sK4),insert_slb(sK2,pair(sK4,bottom)),bad)),
inference(instantiation,[status(thm)],[36]) ).
cnf(51,plain,
ok(insert_cpq(triple(sK1,sK2,sK3),sK4)),
inference(cnf,[status(esa)],[l13_co_negated]) ).
cnf(l27,plain,
ok(insert_cpq(triple(sK1,sK2,sK3),sK4)),
inference(instantiation,[status(thm)],[51]) ).
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(38,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(l107,plain,
insert_cpq(triple(sK1,sK2,sK3),sK4) = triple(insert_pqp(sK1,sK4),insert_slb(sK2,pair(sK4,bottom)),sK3),
inference(instantiation,[status(thm)],[38]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l23,l61,l26,l27,l107]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SWV377+1 : TPTP v9.0.0. Released v3.3.0.
% 0.04/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.33 % Computer : n024.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue Jul 22 09:06:04 EDT 2025
% 0.13/0.33 % CPUTime :
% 0.13/0.34 % launching worker at depth: 1
% 0.13/0.34 % launching worker at depth: 3
% 0.13/0.34 % launching worker at depth: 4
% 0.13/0.34 % launching worker at depth: 2
% 0.13/0.34 % launching worker at depth: 5
% 0.13/0.34 % launching worker at depth: 6
% 0.13/0.34 % launching worker at depth: 7
% 0.13/0.34 % launching worker at depth: 8
% 0.13/0.34 % launching worker at depth: 9
% 0.13/0.34 % launching worker at depth: 10
% 0.19/0.39 % launching worker at depth: 11
% 13.19/2.03 % launching worker at depth: 12
% 24.77/3.44 % SZS status Theorem for theBenchmark
% 24.77/3.44 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------