%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : GEO179+3 : TPTP v9.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/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 01:38:21 PM UTC 2025
% Result : Theorem 0.18s 0.41s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 11
% Syntax : Number of formulae : 40 ( 15 unt; 0 def)
% Number of atoms : 92 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 93 ( 41 ~; 37 |; 6 &)
% ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 62 ( 5 sgn 31 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(con,plain,
! [X,Y,Z] :
( ( distinct_points(X,Y)
& apart_point_and_line(Z,line_connecting(X,Y)) )
=> ( distinct_lines(line_connecting(X,Y),line_connecting(Z,X))
& distinct_lines(line_connecting(X,Y),line_connecting(Z,Y)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(con_negated,plain,
~ ! [X,Y,Z] :
( ( distinct_points(X,Y)
& apart_point_and_line(Z,line_connecting(X,Y)) )
=> ( distinct_lines(line_connecting(X,Y),line_connecting(Z,X))
& distinct_lines(line_connecting(X,Y),line_connecting(Z,Y)) ) ),
inference(negate_conjecture,[status(cth)],[con]) ).
cnf(46,plain,
distinct_points(sK1,sK2),
inference(cnf,[status(esa)],[con_negated]) ).
cnf(l0,plain,
distinct_points(sK1,sK2),
inference(instantiation,[status(thm)],[46]) ).
fof(ci2,plain,
! [X,Y] :
( distinct_points(X,Y)
=> ~ apart_point_and_line(Y,line_connecting(X,Y)) ),
file('Axioms/GEO006+0.ax',ci2) ).
cnf(7,plain,
( ~ distinct_points(X0,X1)
| ~ apart_point_and_line(X1,line_connecting(X0,X1)) ),
inference(cnf,[status(esa)],[ci2]) ).
cnf(l1,plain,
( ~ distinct_points(sK1,sK2)
| ~ apart_point_and_line(sK2,line_connecting(sK1,sK2)) ),
inference(instantiation,[status(thm)],[7]) ).
fof(cup1,plain,
! [X,Y,Z] :
( distinct_lines(Y,Z)
=> ( apart_point_and_line(X,Y)
| apart_point_and_line(X,Z)
| convergent_lines(Y,Z) ) ),
file('Axioms/GEO006+2.ax',cup1) ).
cnf(17,plain,
( ~ distinct_lines(X0,X1)
| convergent_lines(X0,X1)
| apart_point_and_line(X2,X0)
| apart_point_and_line(X2,X1) ),
inference(cnf,[status(esa)],[cup1]) ).
cnf(l2,plain,
( ~ distinct_lines(line_connecting(sK1,sK2),line_connecting(sK1,sK2))
| convergent_lines(line_connecting(sK1,sK2),line_connecting(sK1,sK2))
| apart_point_and_line(sK2,line_connecting(sK1,sK2))
| apart_point_and_line(sK2,line_connecting(sK1,sK2)) ),
inference(instantiation,[status(thm)],[17]) ).
fof(apart5,plain,
! [X,Y,Z] :
( distinct_lines(X,Y)
=> ( distinct_lines(X,Z)
| distinct_lines(Y,Z) ) ),
file('Axioms/GEO006+0.ax',apart5) ).
cnf(4,plain,
( ~ distinct_lines(X0,X1)
| distinct_lines(X0,X2)
| distinct_lines(X1,X2) ),
inference(cnf,[status(esa)],[apart5]) ).
cnf(l3,plain,
( ~ distinct_lines(line_connecting(sK1,sK2),parallel_through_point(line_connecting(sK1,sK2),sK3))
| distinct_lines(line_connecting(sK1,sK2),line_connecting(sK1,sK2))
| distinct_lines(parallel_through_point(line_connecting(sK1,sK2),sK3),line_connecting(sK1,sK2)) ),
inference(instantiation,[status(thm)],[4]) ).
fof(ceq2,plain,
! [X,Y,Z] :
( apart_point_and_line(X,Y)
=> ( distinct_lines(Y,Z)
| apart_point_and_line(X,Z) ) ),
file('Axioms/GEO006+0.ax',ceq2) ).
cnf(12,plain,
( ~ apart_point_and_line(X0,X1)
| distinct_lines(X1,X2)
| apart_point_and_line(X0,X2) ),
inference(cnf,[status(esa)],[ceq2]) ).
cnf(l6,plain,
( ~ apart_point_and_line(sK3,line_connecting(sK1,sK2))
| distinct_lines(line_connecting(sK1,sK2),parallel_through_point(line_connecting(sK1,sK2),sK3))
| apart_point_and_line(sK3,parallel_through_point(line_connecting(sK1,sK2),sK3)) ),
inference(instantiation,[status(thm)],[12]) ).
fof(cotno1,plain,
! [L,M,N] :
( ( ( ~ convergent_lines(L,M)
| ~ unorthogonal_lines(L,M) )
& ( ~ convergent_lines(L,N)
| ~ unorthogonal_lines(L,N) ) )
=> ( ~ convergent_lines(M,N)
| ~ unorthogonal_lines(M,N) ) ),
file('Axioms/GEO006+4.ax',cotno1) ).
cnf(28,plain,
( ~ convergent_lines(X0,X1)
| ~ unorthogonal_lines(X0,X1)
| sP1(X2,X1)
| unorthogonal_lines(X2,X0) ),
inference(cnf,[status(esa)],[cotno1]) ).
cnf(l57,plain,
( ~ convergent_lines(line_connecting(sK1,sK2),line_connecting(sK1,sK2))
| ~ unorthogonal_lines(line_connecting(sK1,sK2),line_connecting(sK1,sK2))
| sP1(orthogonal_through_point(line_connecting(sK1,sK2),X1_74),line_connecting(sK1,sK2))
| unorthogonal_lines(orthogonal_through_point(line_connecting(sK1,sK2),X1_74),line_connecting(sK1,sK2)) ),
inference(instantiation,[status(thm)],[28]) ).
cnf(47,plain,
apart_point_and_line(sK3,line_connecting(sK1,sK2)),
inference(cnf,[status(esa)],[con_negated]) ).
cnf(l15,plain,
apart_point_and_line(sK3,line_connecting(sK1,sK2)),
inference(instantiation,[status(thm)],[47]) ).
fof(ooc1,plain,
! [A,L] : ~ unorthogonal_lines(orthogonal_through_point(L,A),L),
file('Axioms/GEO006+3.ax',ooc1) ).
cnf(23,plain,
~ unorthogonal_lines(orthogonal_through_point(X0,X1),X0),
inference(cnf,[status(esa)],[ooc1]) ).
cnf(l60,plain,
~ unorthogonal_lines(orthogonal_through_point(line_connecting(sK1,sK2),X1_74),line_connecting(sK1,sK2)),
inference(instantiation,[status(thm)],[23]) ).
cnf(29,plain,
( unorthogonal_lines(X0,X1)
| ~ sP1(X0,X1) ),
inference(cnf,[status(esa)],[cotno1]) ).
cnf(l62,plain,
( unorthogonal_lines(orthogonal_through_point(line_connecting(sK1,sK2),X1_74),line_connecting(sK1,sK2))
| ~ sP1(orthogonal_through_point(line_connecting(sK1,sK2),X1_74),line_connecting(sK1,sK2)) ),
inference(instantiation,[status(thm)],[29]) ).
fof(couo1,plain,
! [L,M,N] :
( ( ~ unorthogonal_lines(L,M)
& ~ unorthogonal_lines(L,N) )
=> ~ convergent_lines(M,N) ),
file('Axioms/GEO006+4.ax',couo1) ).
cnf(31,plain,
( ~ convergent_lines(X0,X1)
| unorthogonal_lines(X2,X0)
| unorthogonal_lines(X2,X1) ),
inference(cnf,[status(esa)],[couo1]) ).
cnf(l58,plain,
( ~ convergent_lines(line_connecting(sK1,sK2),line_connecting(sK1,sK2))
| unorthogonal_lines(line_connecting(sK1,sK2),line_connecting(sK1,sK2))
| unorthogonal_lines(line_connecting(sK1,sK2),line_connecting(sK1,sK2)) ),
inference(instantiation,[status(thm)],[31]) ).
fof(cp2,plain,
! [X,Y] : ~ apart_point_and_line(X,parallel_through_point(Y,X)),
file('Axioms/GEO006+2.ax',cp2) ).
cnf(16,plain,
~ apart_point_and_line(X0,parallel_through_point(X1,X0)),
inference(cnf,[status(esa)],[cp2]) ).
cnf(l16,plain,
~ apart_point_and_line(sK3,parallel_through_point(line_connecting(sK1,sK2),sK3)),
inference(instantiation,[status(thm)],[16]) ).
cnf(l74,plain,
~ unorthogonal_lines(orthogonal_through_point(line_connecting(sK1,sK2),X1_74),line_connecting(sK1,sK2)),
inference(instantiation,[status(thm)],[23]) ).
fof(p1,plain,
! [X,Y] :
( distinct_lines(X,Y)
=> convergent_lines(X,Y) ),
file('Axioms/GEO006+1.ax',p1) ).
cnf(14,plain,
( ~ distinct_lines(X0,X1)
| convergent_lines(X0,X1) ),
inference(cnf,[status(esa)],[p1]) ).
cnf(l50,plain,
( ~ distinct_lines(parallel_through_point(line_connecting(sK1,sK2),sK3),line_connecting(sK1,sK2))
| convergent_lines(parallel_through_point(line_connecting(sK1,sK2),sK3),line_connecting(sK1,sK2)) ),
inference(instantiation,[status(thm)],[14]) ).
fof(cp1,plain,
! [X,Y] : ~ convergent_lines(parallel_through_point(Y,X),Y),
file('Axioms/GEO006+2.ax',cp1) ).
cnf(15,plain,
~ convergent_lines(parallel_through_point(X0,X1),X0),
inference(cnf,[status(esa)],[cp1]) ).
cnf(l53,plain,
~ convergent_lines(parallel_through_point(line_connecting(sK1,sK2),sK3),line_connecting(sK1,sK2)),
inference(instantiation,[status(thm)],[15]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l3,l6,l57,l15,l60,l62,l58,l16,l74,l50,l53]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GEO179+3 : TPTP v9.0.0. Released v4.0.0.
% 0.06/0.12 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n031.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 : Sun Jul 20 11:38:19 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % launching worker at depth: 1
% 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: 3
% 0.12/0.34 % launching worker at depth: 5
% 0.12/0.34 % launching worker at depth: 6
% 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: 9
% 0.12/0.34 % launching worker at depth: 10
% 0.18/0.41 % SZS status Theorem for theBenchmark
% 0.18/0.41 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------