%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SWC262+1 : TPTP v9.0.0. Released v2.4.0.
% 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 04:11:44 PM UTC 2025
% Result : Theorem 9.09s 1.48s
% Output : CNFRefutation 9.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 20 ( 11 unt; 0 def)
% Number of atoms : 50 ( 11 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 50 ( 20 ~; 17 |; 1 &)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 14 ( 0 sgn 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(co1,plain,
! [U] :
( ssList(U)
=> ! [V] :
( ssList(V)
=> ! [W] :
( ssList(W)
=> ! [X] :
( ssList(X)
=> ( V != X
| U != W
| ~ totalorderedP(W)
| totalorderedP(U) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(co1_negated,plain,
~ ! [U] :
( ssList(U)
=> ! [V] :
( ssList(V)
=> ! [W] :
( ssList(W)
=> ! [X] :
( ssList(X)
=> ( V != X
| U != W
| ~ totalorderedP(W)
| totalorderedP(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(ax54,plain,
! [U] :
( ssList(U)
=> ! [V] :
( ssList(V)
=> ( ( segmentP(U,V)
& segmentP(V,U) )
=> U = V ) ) ),
file('Axioms/SWC001+0.ax',ax54) ).
cnf(133,plain,
( ~ segmentP(X0,X1)
| ~ segmentP(X1,X0)
| ~ ssList(X0)
| ~ ssList(X1)
| X0 = X1 ),
inference(cnf,[status(esa)],[ax54]) ).
cnf(l1,plain,
( ~ segmentP(sK57,sK55)
| ~ segmentP(sK55,sK57)
| ~ ssList(sK57)
| ~ ssList(sK55)
| sK57 = sK55 ),
inference(instantiation,[status(thm)],[133]) ).
cnf(193,plain,
sK55 = sK57,
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l25,plain,
sK55 = sK57,
inference(instantiation,[status(thm)],[193]) ).
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(l20,plain,
( ~ ssList(sK55)
| segmentP(sK55,sK55) ),
inference(instantiation,[status(thm)],[134]) ).
cnf(l6,plain,
sK55 = sK57,
inference(instantiation,[status(thm)],[193]) ).
cnf(l7,plain,
sK55 = sK57,
inference(instantiation,[status(thm)],[193]) ).
cnf(l10,plain,
( ~ ssList(sK55)
| segmentP(sK55,sK55) ),
inference(instantiation,[status(thm)],[134]) ).
cnf(194,plain,
totalorderedP(sK57),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l41,plain,
totalorderedP(sK57),
inference(instantiation,[status(thm)],[194]) ).
cnf(195,plain,
~ totalorderedP(sK55),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l43,plain,
~ totalorderedP(sK55),
inference(instantiation,[status(thm)],[195]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l25,l20,l6,l7,l10,l41,l43]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SWC262+1 : TPTP v9.0.0. Released v2.4.0.
% 0.10/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n017.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Jul 22 06:36:04 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % launching worker at depth: 3
% 0.12/0.34 % launching worker at depth: 6
% 0.12/0.34 % launching worker at depth: 5
% 0.12/0.34 % launching worker at depth: 7
% 0.12/0.34 % launching worker at depth: 8
% 0.12/0.34 % launching worker at depth: 4
% 0.12/0.34 % launching worker at depth: 2
% 0.12/0.34 % launching worker at depth: 1
% 0.12/0.35 % launching worker at depth: 9
% 0.18/0.52 % launching worker at depth: 10
% 9.09/1.48 % SZS status Theorem for theBenchmark
% 9.09/1.48 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------