%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : GEO146+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 : n018.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 01:38:15 PM UTC 2025
% Result : Theorem 0.20s 0.41s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 19 ( 1 unt; 0 def)
% Number of atoms : 37 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 34 ( 16 ~; 14 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 19 ( 0 sgn 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t12,plain,
! [X,Y,P] :
( connect(X,Y,P)
<=> connect(Y,X,P) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t12) ).
fof(t12_negated,plain,
~ ! [X,Y,P] :
( connect(X,Y,P)
<=> connect(Y,X,P) ),
inference(negate_conjecture,[status(cth)],[t12]) ).
cnf(105,plain,
( connect(sK30,sK31,sK32)
| connect(sK31,sK30,sK32) ),
inference(cnf,[status(esa)],[t12_negated]) ).
cnf(l0,plain,
( connect(sK30,sK31,sK32)
| connect(sK31,sK30,sK32) ),
inference(instantiation,[status(thm)],[105]) ).
cnf(106,plain,
( ~ connect(sK30,sK31,sK32)
| ~ connect(sK31,sK30,sK32) ),
inference(cnf,[status(esa)],[t12_negated]) ).
cnf(l1,plain,
( ~ connect(sK30,sK31,sK32)
| ~ connect(sK31,sK30,sK32) ),
inference(instantiation,[status(thm)],[106]) ).
cnf(l2,plain,
( ~ connect(sK30,sK31,sK32)
| ~ connect(sK31,sK30,sK32) ),
inference(instantiation,[status(thm)],[106]) ).
fof(connect_defn,plain,
! [X,Y,P] :
( connect(X,Y,P)
<=> once(at_the_same_time(at(X,P),at(Y,P))) ),
file('Axioms/GEO004+3.ax',connect_defn) ).
cnf(92,plain,
( ~ once(at_the_same_time(at(X0,X1),at(X2,X1)))
| connect(X0,X2,X1) ),
inference(cnf,[status(esa)],[connect_defn]) ).
cnf(l4,plain,
( ~ once(at_the_same_time(at(sK30,sK32),at(sK31,sK32)))
| connect(sK30,sK31,sK32) ),
inference(instantiation,[status(thm)],[92]) ).
fof(symmetry_of_at_the_same_time,plain,
! [A,B] :
( once(at_the_same_time(A,B))
<=> once(at_the_same_time(B,A)) ),
file('Axioms/GEO004+3.ax',symmetry_of_at_the_same_time) ).
cnf(94,plain,
( ~ once(at_the_same_time(X0,X1))
| once(at_the_same_time(X1,X0)) ),
inference(cnf,[status(esa)],[symmetry_of_at_the_same_time]) ).
cnf(l5,plain,
( ~ once(at_the_same_time(at(sK31,sK32),at(sK30,sK32)))
| once(at_the_same_time(at(sK30,sK32),at(sK31,sK32))) ),
inference(instantiation,[status(thm)],[94]) ).
cnf(l3,plain,
( ~ once(at_the_same_time(at(sK31,sK32),at(sK30,sK32)))
| connect(sK31,sK30,sK32) ),
inference(instantiation,[status(thm)],[92]) ).
cnf(l6,plain,
( ~ once(at_the_same_time(at(sK30,sK32),at(sK31,sK32)))
| once(at_the_same_time(at(sK31,sK32),at(sK30,sK32))) ),
inference(instantiation,[status(thm)],[94]) ).
cnf(91,plain,
( ~ connect(X0,X1,X2)
| once(at_the_same_time(at(X0,X2),at(X1,X2))) ),
inference(cnf,[status(esa)],[connect_defn]) ).
cnf(l7,plain,
( ~ connect(sK31,sK30,sK32)
| once(at_the_same_time(at(sK31,sK32),at(sK30,sK32))) ),
inference(instantiation,[status(thm)],[91]) ).
cnf(l8,plain,
( ~ connect(sK30,sK31,sK32)
| once(at_the_same_time(at(sK30,sK32),at(sK31,sK32))) ),
inference(instantiation,[status(thm)],[91]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l4,l5,l3,l6,l7,l8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GEO146+1 : TPTP v9.0.0. Released v2.4.0.
% 0.06/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.34 % Computer : n018.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Sun Jul 20 11:26:04 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.12/0.35 % launching worker at depth: 1
% 0.12/0.35 % launching worker at depth: 8
% 0.12/0.35 % launching worker at depth: 7
% 0.12/0.35 % launching worker at depth: 4
% 0.12/0.35 % launching worker at depth: 2
% 0.12/0.35 % launching worker at depth: 5
% 0.12/0.35 % launching worker at depth: 3
% 0.12/0.35 % launching worker at depth: 6
% 0.12/0.35 % launching worker at depth: 9
% 0.12/0.36 % launching worker at depth: 10
% 0.20/0.41 % SZS status Theorem for theBenchmark
% 0.20/0.41 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------