%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : GEO255+1 : TPTP v9.0.0. Bugfixed v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n021.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 15.07s 2.28s
% Output : CNFRefutation 15.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 11
% Syntax : Number of formulae : 56 ( 21 unt; 0 def)
% Number of atoms : 136 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 139 ( 59 ~; 59 |; 12 &)
% ( 1 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 79 ( 8 sgn 29 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(con,plain,
! [L,A,B] :
( ( line(L)
& distinct_points(A,B) )
=> ~ ( before_on_line(L,A,B)
& before_on_line(L,B,A) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(con_negated,plain,
~ ! [L,A,B] :
( ( line(L)
& distinct_points(A,B) )
=> ~ ( before_on_line(L,A,B)
& before_on_line(L,B,A) ) ),
inference(negate_conjecture,[status(cth)],[con]) ).
cnf(58,plain,
line(sK1),
inference(cnf,[status(esa)],[con_negated]) ).
cnf(l0,plain,
line(sK1),
inference(instantiation,[status(thm)],[58]) ).
fof(oag8,plain,
! [L,M] :
( ( line(L)
& line(M) )
=> ( unequally_directed_lines(L,M)
| unequally_directed_lines(L,reverse_line(M)) ) ),
file('Axioms/GEO007+0.ax',oag8) ).
cnf(35,plain,
( ~ line(X0)
| ~ line(X1)
| unequally_directed_lines(X0,X1)
| unequally_directed_lines(X0,reverse_line(X1)) ),
inference(cnf,[status(esa)],[oag8]) ).
cnf(l1,plain,
( ~ line(sK1)
| ~ line(reverse_line(sK1))
| unequally_directed_lines(sK1,reverse_line(sK1))
| unequally_directed_lines(sK1,reverse_line(reverse_line(sK1))) ),
inference(instantiation,[status(thm)],[35]) ).
fof(oag7,plain,
! [L,M,N] :
( ( unequally_directed_lines(L,M)
& unequally_directed_lines(L,reverse_line(M)) )
=> ( ( unequally_directed_lines(L,N)
& unequally_directed_lines(L,reverse_line(N)) )
| ( unequally_directed_lines(M,N)
& unequally_directed_lines(M,reverse_line(N)) ) ) ),
file('Axioms/GEO007+0.ax',oag7) ).
cnf(31,plain,
( ~ unequally_directed_lines(X0,X1)
| ~ unequally_directed_lines(X0,reverse_line(X1))
| unequally_directed_lines(X0,X2)
| sP2(X1,X2) ),
inference(cnf,[status(esa)],[oag7]) ).
cnf(l3,plain,
( ~ unequally_directed_lines(sK1,reverse_line(sK1))
| ~ unequally_directed_lines(sK1,reverse_line(reverse_line(sK1)))
| unequally_directed_lines(sK1,parallel_through_point(line_connecting(sK2,sK3),X1_165))
| sP2(reverse_line(sK1),parallel_through_point(line_connecting(sK2,sK3),X1_165)) ),
inference(instantiation,[status(thm)],[31]) ).
cnf(l21,plain,
( ~ line(sK1)
| ~ line(sK1)
| unequally_directed_lines(sK1,sK1)
| unequally_directed_lines(sK1,reverse_line(sK1)) ),
inference(instantiation,[status(thm)],[35]) ).
fof(oagco4,plain,
! [L] :
( line(L)
=> line(reverse_line(L)) ),
file('Axioms/GEO007+0.ax',oagco4) ).
cnf(44,plain,
( ~ line(X0)
| line(reverse_line(X0)) ),
inference(cnf,[status(esa)],[oagco4]) ).
cnf(l237,plain,
( ~ line(sK1)
| line(reverse_line(sK1)) ),
inference(instantiation,[status(thm)],[44]) ).
fof(oag6,plain,
! [L,M,N] :
( unequally_directed_lines(L,M)
=> ( unequally_directed_lines(L,N)
| unequally_directed_lines(M,N) ) ),
file('Axioms/GEO007+0.ax',oag6) ).
cnf(30,plain,
( ~ unequally_directed_lines(X0,X1)
| unequally_directed_lines(X0,X2)
| unequally_directed_lines(X1,X2) ),
inference(cnf,[status(esa)],[oag6]) ).
cnf(l129,plain,
( ~ unequally_directed_lines(sK1,parallel_through_point(line_connecting(sK2,sK3),X1_165))
| unequally_directed_lines(sK1,line_connecting(sK2,sK3))
| unequally_directed_lines(parallel_through_point(line_connecting(sK2,sK3),X1_165),line_connecting(sK2,sK3)) ),
inference(instantiation,[status(thm)],[30]) ).
cnf(33,plain,
( unequally_directed_lines(X0,reverse_line(X1))
| ~ sP2(X0,X1) ),
inference(cnf,[status(esa)],[oag7]) ).
cnf(l186,plain,
( unequally_directed_lines(reverse_line(sK1),reverse_line(parallel_through_point(line_connecting(sK2,sK3),X1_165)))
| ~ sP2(reverse_line(sK1),parallel_through_point(line_connecting(sK2,sK3),X1_165)) ),
inference(instantiation,[status(thm)],[33]) ).
fof(bf_def,plain,
! [L,A,B] :
( before_on_line(L,A,B)
<=> ( distinct_points(A,B)
& ~ ( left_apart_point(A,L)
| left_apart_point(A,reverse_line(L)) )
& ~ ( left_apart_point(B,L)
| left_apart_point(B,reverse_line(L)) )
& ~ unequally_directed_lines(L,line_connecting(A,B)) ) ),
file('Axioms/GEO007+0.ax',bf_def) ).
cnf(17,plain,
( ~ before_on_line(X0,X1,X2)
| ~ unequally_directed_lines(X0,line_connecting(X1,X2)) ),
inference(cnf,[status(esa)],[bf_def]) ).
cnf(l134,plain,
( ~ before_on_line(sK1,sK2,sK3)
| ~ unequally_directed_lines(sK1,line_connecting(sK2,sK3)) ),
inference(instantiation,[status(thm)],[17]) ).
fof(oagco10,plain,
! [A,L] : ~ unequally_directed_lines(parallel_through_point(L,A),L),
file('Axioms/GEO007+0.ax',oagco10) ).
cnf(52,plain,
~ unequally_directed_lines(parallel_through_point(X0,X1),X0),
inference(cnf,[status(esa)],[oagco10]) ).
cnf(l165,plain,
~ unequally_directed_lines(parallel_through_point(line_connecting(sK2,sK3),X1_165),line_connecting(sK2,sK3)),
inference(instantiation,[status(thm)],[52]) ).
fof(oag9,plain,
! [L,M] :
( ( unequally_directed_lines(L,M)
& unequally_directed_lines(L,reverse_line(M)) )
=> ( left_convergent_lines(L,M)
| left_convergent_lines(L,reverse_line(M)) ) ),
file('Axioms/GEO007+0.ax',oag9) ).
cnf(36,plain,
( ~ unequally_directed_lines(X0,X1)
| ~ unequally_directed_lines(X0,reverse_line(X1))
| left_convergent_lines(X0,X1)
| left_convergent_lines(X0,reverse_line(X1)) ),
inference(cnf,[status(esa)],[oag9]) ).
cnf(l188,plain,
( ~ unequally_directed_lines(reverse_line(sK1),parallel_through_point(line_connecting(sK2,sK3),X1_165))
| ~ unequally_directed_lines(reverse_line(sK1),reverse_line(parallel_through_point(line_connecting(sK2,sK3),X1_165)))
| left_convergent_lines(reverse_line(sK1),parallel_through_point(line_connecting(sK2,sK3),X1_165))
| left_convergent_lines(reverse_line(sK1),reverse_line(parallel_through_point(line_connecting(sK2,sK3),X1_165))) ),
inference(instantiation,[status(thm)],[36]) ).
cnf(60,plain,
before_on_line(sK1,sK2,sK3),
inference(cnf,[status(esa)],[con_negated]) ).
cnf(l144,plain,
before_on_line(sK1,sK2,sK3),
inference(instantiation,[status(thm)],[60]) ).
fof(oag11,plain,
! [L,M] :
~ ( left_convergent_lines(L,M)
| left_convergent_lines(L,reverse_line(M)) ),
file('Axioms/GEO007+0.ax',oag11) ).
cnf(39,plain,
~ left_convergent_lines(X0,X1),
inference(cnf,[status(esa)],[oag11]) ).
cnf(l549,plain,
~ left_convergent_lines(reverse_line(sK1),parallel_through_point(line_connecting(sK2,sK3),X1_165)),
inference(instantiation,[status(thm)],[39]) ).
cnf(40,plain,
~ left_convergent_lines(X0,reverse_line(X1)),
inference(cnf,[status(esa)],[oag11]) ).
cnf(l550,plain,
~ left_convergent_lines(reverse_line(sK1),reverse_line(parallel_through_point(line_connecting(sK2,sK3),X1_165))),
inference(instantiation,[status(thm)],[40]) ).
cnf(l2,plain,
( ~ unequally_directed_lines(sK1,reverse_line(sK1))
| unequally_directed_lines(sK1,line_connecting(X1_43,X1_43))
| unequally_directed_lines(reverse_line(sK1),line_connecting(X1_43,X1_43)) ),
inference(instantiation,[status(thm)],[30]) ).
cnf(l138,plain,
( ~ unequally_directed_lines(sK1,sK1)
| unequally_directed_lines(sK1,reverse_line(sK1))
| unequally_directed_lines(sK1,reverse_line(sK1)) ),
inference(instantiation,[status(thm)],[30]) ).
cnf(34,plain,
( unequally_directed_lines(X0,X1)
| ~ sP2(X0,X1) ),
inference(cnf,[status(esa)],[oag7]) ).
cnf(l557,plain,
( unequally_directed_lines(reverse_line(sK1),parallel_through_point(line_connecting(sK2,sK3),X1_165))
| ~ sP2(reverse_line(sK1),parallel_through_point(line_connecting(sK2,sK3),X1_165)) ),
inference(instantiation,[status(thm)],[34]) ).
cnf(l125,plain,
( ~ unequally_directed_lines(sK1,line_connecting(X1_43,X1_43))
| ~ unequally_directed_lines(sK1,reverse_line(line_connecting(X1_43,X1_43)))
| left_convergent_lines(sK1,line_connecting(X1_43,X1_43))
| left_convergent_lines(sK1,reverse_line(line_connecting(X1_43,X1_43))) ),
inference(instantiation,[status(thm)],[36]) ).
fof(oagsub3,plain,
! [L,M,N] :
( left_convergent_lines(L,M)
=> ( unequally_directed_lines(M,N)
| left_convergent_lines(L,N) ) ),
file('Axioms/GEO007+0.ax',oagsub3) ).
cnf(57,plain,
( ~ left_convergent_lines(X0,X1)
| unequally_directed_lines(X1,X2)
| left_convergent_lines(X0,X2) ),
inference(cnf,[status(esa)],[oagsub3]) ).
cnf(l161,plain,
( ~ left_convergent_lines(sK1,line_connecting(X1_43,X1_43))
| unequally_directed_lines(line_connecting(X1_43,X1_43),reverse_line(line_connecting(X1_43,X1_43)))
| left_convergent_lines(sK1,reverse_line(line_connecting(X1_43,X1_43))) ),
inference(instantiation,[status(thm)],[57]) ).
cnf(l162,plain,
~ left_convergent_lines(sK1,reverse_line(line_connecting(X1_43,X1_43))),
inference(instantiation,[status(thm)],[39]) ).
cnf(l160,plain,
~ left_convergent_lines(sK1,reverse_line(line_connecting(X1_43,X1_43))),
inference(instantiation,[status(thm)],[40]) ).
cnf(l149,plain,
( ~ unequally_directed_lines(sK1,line_connecting(X1_43,X1_43))
| unequally_directed_lines(sK1,reverse_line(line_connecting(X1_43,X1_43)))
| unequally_directed_lines(line_connecting(X1_43,X1_43),reverse_line(line_connecting(X1_43,X1_43))) ),
inference(instantiation,[status(thm)],[30]) ).
fof(oagco9,plain,
! [A,B] : ~ unequally_directed_lines(line_connecting(A,B),reverse_line(line_connecting(B,A))),
file('Axioms/GEO007+0.ax',oagco9) ).
cnf(51,plain,
~ unequally_directed_lines(line_connecting(X0,X1),reverse_line(line_connecting(X1,X0))),
inference(cnf,[status(esa)],[oagco9]) ).
cnf(l150,plain,
~ unequally_directed_lines(line_connecting(X1_43,X1_43),reverse_line(line_connecting(X1_43,X1_43))),
inference(instantiation,[status(thm)],[51]) ).
cnf(l33,plain,
( ~ unequally_directed_lines(reverse_line(sK1),line_connecting(X1_43,X1_43))
| unequally_directed_lines(reverse_line(sK1),reverse_line(line_connecting(X1_43,X1_43)))
| unequally_directed_lines(line_connecting(X1_43,X1_43),reverse_line(line_connecting(X1_43,X1_43))) ),
inference(instantiation,[status(thm)],[30]) ).
cnf(l163,plain,
~ unequally_directed_lines(line_connecting(X1_43,X1_43),reverse_line(line_connecting(X1_43,X1_43))),
inference(instantiation,[status(thm)],[51]) ).
cnf(l34,plain,
( ~ unequally_directed_lines(reverse_line(sK1),line_connecting(X1_43,X1_43))
| ~ unequally_directed_lines(reverse_line(sK1),reverse_line(line_connecting(X1_43,X1_43)))
| left_convergent_lines(reverse_line(sK1),line_connecting(X1_43,X1_43))
| left_convergent_lines(reverse_line(sK1),reverse_line(line_connecting(X1_43,X1_43))) ),
inference(instantiation,[status(thm)],[36]) ).
cnf(l73,plain,
~ left_convergent_lines(reverse_line(sK1),reverse_line(line_connecting(X1_43,X1_43))),
inference(instantiation,[status(thm)],[40]) ).
cnf(l92,plain,
~ left_convergent_lines(reverse_line(sK1),line_connecting(X1_43,X1_43)),
inference(instantiation,[status(thm)],[39]) ).
cnf(l43,plain,
~ unequally_directed_lines(line_connecting(X1_43,X1_43),reverse_line(line_connecting(X1_43,X1_43))),
inference(instantiation,[status(thm)],[51]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l3,l21,l237,l129,l186,l134,l165,l188,l144,l549,l550,l2,l138,l557,l125,l161,l162,l160,l149,l150,l33,l163,l34,l73,l92,l43]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GEO255+1 : TPTP v9.0.0. Bugfixed v6.4.0.
% 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34 % Computer : n021.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sun Jul 20 11:51:34 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % launching worker at depth: 1
% 0.13/0.35 % launching worker at depth: 8
% 0.13/0.35 % launching worker at depth: 2
% 0.13/0.35 % launching worker at depth: 4
% 0.13/0.35 % launching worker at depth: 5
% 0.13/0.35 % launching worker at depth: 6
% 0.13/0.35 % launching worker at depth: 7
% 0.13/0.35 % launching worker at depth: 3
% 0.13/0.35 % launching worker at depth: 9
% 0.13/0.36 % launching worker at depth: 10
% 0.13/0.41 % launching worker at depth: 11
% 4.48/0.89 % launching worker at depth: 12
% 15.07/2.28 % SZS status Theorem for theBenchmark
% 15.07/2.28 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------