%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : GEO258+1 : TPTP v9.0.0. Bugfixed v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n032.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 01:38:47 PM UTC 2025
% Result : Theorem 0.14s 0.57s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 2
% Syntax : Number of formulae : 24 ( 6 unt; 0 def)
% Number of atoms : 54 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 53 ( 23 ~; 25 |; 2 &)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-4 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 36 ( 2 sgn 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(con,plain,
! [L,A,B,C] :
( between_on_line(L,A,B,C)
=> between_on_line(L,C,B,A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(con_negated,plain,
~ ! [L,A,B,C] :
( between_on_line(L,A,B,C)
=> between_on_line(L,C,B,A) ),
inference(negate_conjecture,[status(cth)],[con]) ).
cnf(59,plain,
~ between_on_line(sK1,sK4,sK3,sK2),
inference(cnf,[status(esa)],[con_negated]) ).
cnf(l0,plain,
~ between_on_line(sK1,sK4,sK3,sK2),
inference(instantiation,[status(thm)],[59]) ).
fof(bet_def,plain,
! [L,A,B,C] :
( between_on_line(L,A,B,C)
<=> ( ( before_on_line(L,A,B)
& before_on_line(L,B,C) )
| ( before_on_line(L,C,B)
& before_on_line(L,B,A) ) ) ),
file('Axioms/GEO007+0.ax',bet_def) ).
cnf(22,plain,
( ~ before_on_line(X0,X1,X2)
| ~ before_on_line(X0,X3,X1)
| between_on_line(X0,X2,X1,X3) ),
inference(cnf,[status(esa)],[bet_def]) ).
cnf(l1,plain,
( ~ before_on_line(sK1,sK3,sK4)
| ~ before_on_line(sK1,sK2,sK3)
| between_on_line(sK1,sK4,sK3,sK2) ),
inference(instantiation,[status(thm)],[22]) ).
cnf(19,plain,
( ~ between_on_line(X0,X1,X2,X3)
| before_on_line(X0,X1,X2)
| sP1(X1,X0,X3,X2) ),
inference(cnf,[status(esa)],[bet_def]) ).
cnf(l2,plain,
( ~ between_on_line(sK1,sK2,sK3,sK4)
| before_on_line(sK1,sK2,sK3)
| sP1(sK2,sK1,sK4,sK3) ),
inference(instantiation,[status(thm)],[19]) ).
cnf(58,plain,
between_on_line(sK1,sK2,sK3,sK4),
inference(cnf,[status(esa)],[con_negated]) ).
cnf(l95,plain,
between_on_line(sK1,sK2,sK3,sK4),
inference(instantiation,[status(thm)],[58]) ).
cnf(24,plain,
( before_on_line(X0,X1,X2)
| ~ sP1(X3,X0,X1,X2) ),
inference(cnf,[status(esa)],[bet_def]) ).
cnf(l89,plain,
( before_on_line(sK1,sK4,sK3)
| ~ sP1(sK2,sK1,sK4,sK3) ),
inference(instantiation,[status(thm)],[24]) ).
cnf(21,plain,
( ~ before_on_line(X0,X1,X2)
| ~ before_on_line(X0,X2,X3)
| between_on_line(X0,X1,X2,X3) ),
inference(cnf,[status(esa)],[bet_def]) ).
cnf(l135,plain,
( ~ before_on_line(sK1,sK4,sK3)
| ~ before_on_line(sK1,sK3,sK2)
| between_on_line(sK1,sK4,sK3,sK2) ),
inference(instantiation,[status(thm)],[21]) ).
cnf(23,plain,
( before_on_line(X0,X1,X2)
| ~ sP1(X2,X0,X3,X1) ),
inference(cnf,[status(esa)],[bet_def]) ).
cnf(l136,plain,
( before_on_line(sK1,sK3,sK2)
| ~ sP1(sK2,sK1,sK4,sK3) ),
inference(instantiation,[status(thm)],[23]) ).
cnf(20,plain,
( ~ between_on_line(X0,X1,X2,X3)
| before_on_line(X0,X2,X3)
| sP1(X1,X0,X3,X2) ),
inference(cnf,[status(esa)],[bet_def]) ).
cnf(l130,plain,
( ~ between_on_line(sK1,sK2,sK3,sK4)
| before_on_line(sK1,sK3,sK4)
| sP1(sK2,sK1,sK4,sK3) ),
inference(instantiation,[status(thm)],[20]) ).
cnf(l153,plain,
( before_on_line(sK1,sK4,sK3)
| ~ sP1(sK2,sK1,sK4,sK3) ),
inference(instantiation,[status(thm)],[24]) ).
cnf(l151,plain,
between_on_line(sK1,sK2,sK3,sK4),
inference(instantiation,[status(thm)],[58]) ).
cnf(l159,plain,
( ~ before_on_line(sK1,sK4,sK3)
| ~ before_on_line(sK1,sK3,sK2)
| between_on_line(sK1,sK4,sK3,sK2) ),
inference(instantiation,[status(thm)],[21]) ).
cnf(l162,plain,
( before_on_line(sK1,sK3,sK2)
| ~ sP1(sK2,sK1,sK4,sK3) ),
inference(instantiation,[status(thm)],[23]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l95,l89,l135,l136,l130,l153,l151,l159,l162]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : GEO258+1 : TPTP v9.0.0. Bugfixed v6.4.0.
% 0.00/0.09 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.28 % Computer : n032.cluster.edu
% 0.08/0.28 % Model : x86_64 x86_64
% 0.08/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28 % Memory : 8042.1875MB
% 0.08/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28 % CPULimit : 300
% 0.08/0.28 % WCLimit : 300
% 0.08/0.28 % DateTime : Sun Jul 20 11:51:48 EDT 2025
% 0.08/0.29 % CPUTime :
% 0.08/0.29 % launching worker at depth: 2
% 0.08/0.29 % launching worker at depth: 1
% 0.08/0.29 % launching worker at depth: 6
% 0.08/0.29 % launching worker at depth: 4
% 0.08/0.29 % launching worker at depth: 3
% 0.08/0.29 % launching worker at depth: 7
% 0.08/0.29 % launching worker at depth: 8
% 0.08/0.29 % launching worker at depth: 5
% 0.08/0.29 % launching worker at depth: 9
% 0.08/0.29 % launching worker at depth: 10
% 0.14/0.32 % launching worker at depth: 11
% 0.14/0.34 % launching worker at depth: 12
% 0.14/0.57 % SZS status Theorem for theBenchmark
% 0.14/0.57 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------