%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SWC349+1 : TPTP v9.0.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n027.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 04:11:57 PM UTC 2025
% Result : Theorem 186.20s 23.76s
% Output : CNFRefutation 186.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of formulae : 33 ( 17 unt; 0 def)
% Number of atoms : 80 ( 16 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 80 ( 33 ~; 30 |; 1 &)
% ( 1 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 21 ( 0 sgn 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(co1,plain,
! [U] :
( ssList(U)
=> ! [V] :
( ssList(V)
=> ! [W] :
( ssList(W)
=> ! [X] :
( ssList(X)
=> ( nil != W
| V != X
| U != W
| ~ neq(V,nil)
| frontsegP(V,U) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(co1_negated,plain,
~ ! [U] :
( ssList(U)
=> ! [V] :
( ssList(V)
=> ! [W] :
( ssList(W)
=> ! [X] :
( ssList(X)
=> ( nil != W
| V != X
| U != W
| ~ neq(V,nil)
| frontsegP(V,U) ) ) ) ) ),
inference(negate_conjecture,[status(cth)],[co1]) ).
cnf(188,plain,
ssList(sK55),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l0,plain,
ssList(sK55),
inference(instantiation,[status(thm)],[188]) ).
fof(ax58,plain,
! [U] :
( ssList(U)
=> ( segmentP(nil,U)
<=> nil = U ) ),
file('Axioms/SWC001+0.ax',ax58) ).
cnf(137,plain,
( ~ segmentP(nil,X0)
| ~ ssList(X0)
| nil = X0 ),
inference(cnf,[status(esa)],[ax58]) ).
cnf(l1,plain,
( ~ segmentP(nil,sK55)
| ~ ssList(sK55)
| nil = sK55 ),
inference(instantiation,[status(thm)],[137]) ).
fof(ax53,plain,
! [U] :
( ssList(U)
=> ! [V] :
( ssList(V)
=> ! [W] :
( ssList(W)
=> ( ( segmentP(U,V)
& segmentP(V,W) )
=> segmentP(U,W) ) ) ) ),
file('Axioms/SWC001+0.ax',ax53) ).
cnf(132,plain,
( ~ segmentP(X0,X1)
| ~ segmentP(X1,X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| segmentP(X0,X2) ),
inference(cnf,[status(esa)],[ax53]) ).
cnf(l105,plain,
( ~ segmentP(nil,sK57)
| ~ segmentP(sK57,sK55)
| ~ ssList(nil)
| ~ ssList(sK57)
| ~ ssList(sK55)
| segmentP(nil,sK55) ),
inference(instantiation,[status(thm)],[132]) ).
fof(ax55,plain,
! [U] :
( ssList(U)
=> segmentP(U,U) ),
file('Axioms/SWC001+0.ax',ax55) ).
cnf(134,plain,
( ~ ssList(X0)
| segmentP(X0,X0) ),
inference(cnf,[status(esa)],[ax55]) ).
cnf(l122,plain,
( ~ ssList(sK55)
| segmentP(sK55,sK55) ),
inference(instantiation,[status(thm)],[134]) ).
cnf(194,plain,
sK55 = sK57,
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l136,plain,
sK55 = sK57,
inference(instantiation,[status(thm)],[194]) ).
fof(ax17,plain,
ssList(nil),
file('Axioms/SWC001+0.ax',ax17) ).
cnf(83,plain,
ssList(nil),
inference(cnf,[status(esa)],[ax17]) ).
cnf(l124,plain,
ssList(nil),
inference(instantiation,[status(thm)],[83]) ).
cnf(138,plain,
( nil != X0
| ~ ssList(X0)
| segmentP(nil,X0) ),
inference(cnf,[status(esa)],[ax58]) ).
cnf(l108,plain,
( nil != sK57
| ~ ssList(sK57)
| segmentP(nil,sK57) ),
inference(instantiation,[status(thm)],[138]) ).
cnf(192,plain,
nil = sK57,
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l109,plain,
nil = sK57,
inference(instantiation,[status(thm)],[192]) ).
cnf(190,plain,
ssList(sK57),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l111,plain,
ssList(sK57),
inference(instantiation,[status(thm)],[190]) ).
cnf(l117,plain,
sK55 = sK57,
inference(instantiation,[status(thm)],[194]) ).
fof(ax45,plain,
! [U] :
( ssList(U)
=> frontsegP(U,nil) ),
file('Axioms/SWC001+0.ax',ax45) ).
cnf(122,plain,
( ~ ssList(X0)
| frontsegP(X0,nil) ),
inference(cnf,[status(esa)],[ax45]) ).
cnf(l5,plain,
( ~ ssList(sK56)
| frontsegP(sK56,nil) ),
inference(instantiation,[status(thm)],[122]) ).
cnf(189,plain,
ssList(sK56),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l27,plain,
ssList(sK56),
inference(instantiation,[status(thm)],[189]) ).
cnf(196,plain,
~ frontsegP(sK56,sK55),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l113,plain,
~ frontsegP(sK56,sK55),
inference(instantiation,[status(thm)],[196]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l105,l122,l136,l124,l108,l109,l111,l117,l5,l27,l113]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWC349+1 : TPTP v9.0.0. Released v2.4.0.
% 0.03/0.13 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34 % Computer : n027.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 07:18:19 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % launching worker at depth: 2
% 0.13/0.35 % launching worker at depth: 1
% 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: 3
% 0.13/0.35 % launching worker at depth: 7
% 0.13/0.35 % launching worker at depth: 8
% 0.13/0.36 % launching worker at depth: 9
% 0.19/0.53 % launching worker at depth: 10
% 46.71/6.24 % launching worker at depth: 11
% 186.20/23.76 % SZS status Theorem for theBenchmark
% 186.20/23.76 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------