%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : GEO081+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 : n031.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 : Thu Jul 24 01:38:05 PM UTC 2025
% Result : Theorem 44.60s 5.94s
% Output : CNFRefutation 44.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 2
% Syntax : Number of formulae : 18 ( 8 unt; 0 def)
% Number of atoms : 34 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 28 ( 12 ~; 10 |; 2 &)
% ( 1 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 16 ( 0 sgn 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(part_of_transitivity,plain,
! [C1,C2,C3] :
( ( part_of(C1,C2)
& part_of(C2,C3) )
=> part_of(C1,C3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',part_of_transitivity) ).
fof(part_of_transitivity_negated,plain,
~ ! [C1,C2,C3] :
( ( part_of(C1,C2)
& part_of(C2,C3) )
=> part_of(C1,C3) ),
inference(negate_conjecture,[status(cth)],[part_of_transitivity]) ).
cnf(45,plain,
part_of(sK15,sK16),
inference(cnf,[status(esa)],[part_of_transitivity_negated]) ).
cnf(l0,plain,
part_of(sK15,sK16),
inference(instantiation,[status(thm)],[45]) ).
fof(part_of_defn,plain,
! [C,C1] :
( part_of(C1,C)
<=> ! [P] :
( incident_c(P,C1)
=> incident_c(P,C) ) ),
file('Axioms/GEO004+0.ax',part_of_defn) ).
cnf(0,plain,
( ~ part_of(X0,X1)
| ~ incident_c(X2,X0)
| incident_c(X2,X1) ),
inference(cnf,[status(esa)],[part_of_defn]) ).
cnf(l1,plain,
( ~ part_of(sK15,sK16)
| ~ incident_c(sK1(sK17,sK15),sK15)
| incident_c(sK1(sK17,sK15),sK16) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(1,plain,
( part_of(X0,X1)
| incident_c(sK1(X1,X0),X0) ),
inference(cnf,[status(esa)],[part_of_defn]) ).
cnf(l5,plain,
( part_of(sK15,sK17)
| incident_c(sK1(sK17,sK15),sK15) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(47,plain,
~ part_of(sK15,sK17),
inference(cnf,[status(esa)],[part_of_transitivity_negated]) ).
cnf(l60,plain,
~ part_of(sK15,sK17),
inference(instantiation,[status(thm)],[47]) ).
cnf(l209,plain,
( ~ part_of(sK16,sK17)
| ~ incident_c(sK1(sK17,sK15),sK16)
| incident_c(sK1(sK17,sK15),sK17) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(2,plain,
( ~ incident_c(sK1(X0,X1),X0)
| part_of(X1,X0) ),
inference(cnf,[status(esa)],[part_of_defn]) ).
cnf(l334,plain,
( ~ incident_c(sK1(sK17,sK15),sK17)
| part_of(sK15,sK17) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(l338,plain,
~ part_of(sK15,sK17),
inference(instantiation,[status(thm)],[47]) ).
cnf(46,plain,
part_of(sK16,sK17),
inference(cnf,[status(esa)],[part_of_transitivity_negated]) ).
cnf(l346,plain,
part_of(sK16,sK17),
inference(instantiation,[status(thm)],[46]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l5,l60,l209,l334,l338,l346]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GEO081+1 : TPTP v9.0.0. Released v2.4.0.
% 0.06/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.33 % Computer : n031.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 300
% 0.14/0.33 % DateTime : Sun Jul 20 10:58:19 EDT 2025
% 0.14/0.33 % CPUTime :
% 0.14/0.34 % launching worker at depth: 1
% 0.14/0.34 % launching worker at depth: 6
% 0.14/0.34 % launching worker at depth: 7
% 0.14/0.34 % launching worker at depth: 2
% 0.14/0.34 % launching worker at depth: 3
% 0.14/0.34 % launching worker at depth: 4
% 0.14/0.34 % launching worker at depth: 5
% 0.14/0.34 % launching worker at depth: 8
% 0.14/0.34 % launching worker at depth: 9
% 0.14/0.35 % launching worker at depth: 10
% 1.65/0.59 % launching worker at depth: 11
% 44.60/5.94 % SZS status Theorem for theBenchmark
% 44.60/5.94 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------