%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SWC044+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 : 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 04:11:12 PM UTC 2025
% Result : Theorem 265.16s 33.66s
% Output : CNFRefutation 265.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 37 ( 23 unt; 0 def)
% Number of atoms : 86 ( 23 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 85 ( 36 ~; 33 |; 1 &)
% ( 1 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 19 ( 0 sgn 13 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(co1,plain,
! [U] :
( ssList(U)
=> ! [V] :
( ssList(V)
=> ! [W] :
( ssList(W)
=> ! [X] :
( ssList(X)
=> ( nil != V
| V != X
| U != W
| ~ rearsegP(X,W)
| nil = 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)
=> ( nil != V
| V != X
| U != W
| ~ rearsegP(X,W)
| nil = 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(ax47,plain,
! [U] :
( ssList(U)
=> ! [V] :
( ssList(V)
=> ! [W] :
( ssList(W)
=> ( ( rearsegP(U,V)
& rearsegP(V,W) )
=> rearsegP(U,W) ) ) ) ),
file('Axioms/SWC001+0.ax',ax47) ).
cnf(125,plain,
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ rearsegP(X0,X1)
| ~ rearsegP(X1,X2)
| rearsegP(X0,X2) ),
inference(cnf,[status(esa)],[ax47]) ).
cnf(l1,plain,
( ~ ssList(nil)
| ~ ssList(sK58)
| ~ ssList(sK55)
| ~ rearsegP(nil,sK58)
| ~ rearsegP(sK58,sK55)
| rearsegP(nil,sK55) ),
inference(instantiation,[status(thm)],[125]) ).
cnf(l294,plain,
( ~ ssList(sK58)
| ~ ssList(sK57)
| ~ ssList(sK55)
| ~ rearsegP(sK58,sK57)
| ~ rearsegP(sK57,sK55)
| rearsegP(sK58,sK55) ),
inference(instantiation,[status(thm)],[125]) ).
cnf(191,plain,
ssList(sK58),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l2,plain,
ssList(sK58),
inference(instantiation,[status(thm)],[191]) ).
cnf(l299,plain,
ssList(sK58),
inference(instantiation,[status(thm)],[191]) ).
fof(ax52,plain,
! [U] :
( ssList(U)
=> ( rearsegP(nil,U)
<=> nil = U ) ),
file('Axioms/SWC001+0.ax',ax52) ).
cnf(131,plain,
( nil != X0
| ~ ssList(X0)
| rearsegP(nil,X0) ),
inference(cnf,[status(esa)],[ax52]) ).
cnf(l131,plain,
( nil != sK58
| ~ ssList(sK58)
| rearsegP(nil,sK58) ),
inference(instantiation,[status(thm)],[131]) ).
cnf(130,plain,
( ~ ssList(X0)
| ~ rearsegP(nil,X0)
| nil = X0 ),
inference(cnf,[status(esa)],[ax52]) ).
cnf(l313,plain,
( ~ ssList(sK55)
| ~ rearsegP(nil,sK55)
| nil = sK55 ),
inference(instantiation,[status(thm)],[130]) ).
cnf(193,plain,
sK56 = sK58,
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l176,plain,
sK56 = sK58,
inference(instantiation,[status(thm)],[193]) ).
cnf(189,plain,
ssList(sK56),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l177,plain,
ssList(sK56),
inference(instantiation,[status(thm)],[189]) ).
cnf(192,plain,
nil = sK56,
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l143,plain,
nil = sK56,
inference(instantiation,[status(thm)],[192]) ).
fof(ax49,plain,
! [U] :
( ssList(U)
=> rearsegP(U,U) ),
file('Axioms/SWC001+0.ax',ax49) ).
cnf(127,plain,
( ~ ssList(X0)
| rearsegP(X0,X0) ),
inference(cnf,[status(esa)],[ax49]) ).
cnf(l367,plain,
( ~ ssList(sK55)
| rearsegP(sK55,sK55) ),
inference(instantiation,[status(thm)],[127]) ).
cnf(194,plain,
sK55 = sK57,
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l365,plain,
sK55 = sK57,
inference(instantiation,[status(thm)],[194]) ).
cnf(195,plain,
rearsegP(sK58,sK57),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l343,plain,
rearsegP(sK58,sK57),
inference(instantiation,[status(thm)],[195]) ).
cnf(l140,plain,
sK56 = sK58,
inference(instantiation,[status(thm)],[193]) ).
fof(ax17,plain,
ssList(nil),
file('Axioms/SWC001+0.ax',ax17) ).
cnf(83,plain,
ssList(nil),
inference(cnf,[status(esa)],[ax17]) ).
cnf(l128,plain,
ssList(nil),
inference(instantiation,[status(thm)],[83]) ).
cnf(l306,plain,
sK55 = sK57,
inference(instantiation,[status(thm)],[194]) ).
cnf(196,plain,
nil != sK55,
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l314,plain,
nil != sK55,
inference(instantiation,[status(thm)],[196]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l294,l2,l299,l131,l313,l176,l177,l143,l367,l365,l343,l140,l128,l306,l314]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SWC044+1 : TPTP v9.0.0. Released v2.4.0.
% 0.14/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35 % Computer : n024.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Jul 22 04:58:49 EDT 2025
% 0.14/0.35 % CPUTime :
% 0.21/0.36 % launching worker at depth: 4
% 0.21/0.36 % launching worker at depth: 1
% 0.21/0.36 % launching worker at depth: 7
% 0.21/0.36 % launching worker at depth: 8
% 0.21/0.36 % launching worker at depth: 2
% 0.21/0.36 % launching worker at depth: 5
% 0.21/0.36 % launching worker at depth: 3
% 0.21/0.36 % launching worker at depth: 6
% 0.21/0.37 % launching worker at depth: 9
% 1.73/0.56 % launching worker at depth: 10
% 44.93/5.99 % launching worker at depth: 11
% 265.16/33.66 % SZS status Theorem for theBenchmark
% 265.16/33.66 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------