%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : GEO260+1 : TPTP v9.0.0. Bugfixed v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n027.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 01:38:48 PM UTC 2025
% Result : Theorem 9.05s 1.44s
% Output : CNFRefutation 9.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 8
% Syntax : Number of formulae : 50 ( 22 unt; 0 def)
% Number of atoms : 121 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 124 ( 53 ~; 52 |; 13 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-4 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 70 ( 4 sgn 23 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(con,plain,
! [L,A,B,C] :
( ( line(L)
& distinct_points(A,C)
& distinct_points(B,C)
& distinct_points(A,B) )
=> ~ ( between_on_line(L,A,B,C)
& between_on_line(L,A,C,B) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(con_negated,plain,
~ ! [L,A,B,C] :
( ( line(L)
& distinct_points(A,C)
& distinct_points(B,C)
& distinct_points(A,B) )
=> ~ ( between_on_line(L,A,B,C)
& between_on_line(L,A,C,B) ) ),
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(sK1)
| unequally_directed_lines(sK1,sK1)
| unequally_directed_lines(sK1,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(l2,plain,
( ~ unequally_directed_lines(sK1,sK1)
| ~ unequally_directed_lines(sK1,reverse_line(sK1))
| unequally_directed_lines(sK1,line_connecting(X0_85,X0_85))
| sP2(sK1,line_connecting(X0_85,X0_85)) ),
inference(instantiation,[status(thm)],[31]) ).
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(l31,plain,
( ~ unequally_directed_lines(sK1,line_connecting(X0_85,X0_85))
| unequally_directed_lines(sK1,reverse_line(line_connecting(X0_85,X0_85)))
| unequally_directed_lines(line_connecting(X0_85,X0_85),reverse_line(line_connecting(X0_85,X0_85))) ),
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(l85,plain,
~ unequally_directed_lines(line_connecting(X0_85,X0_85),reverse_line(line_connecting(X0_85,X0_85))),
inference(instantiation,[status(thm)],[51]) ).
cnf(l128,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(l6,plain,
( unequally_directed_lines(sK1,line_connecting(X0_85,X0_85))
| ~ sP2(sK1,line_connecting(X0_85,X0_85)) ),
inference(instantiation,[status(thm)],[34]) ).
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(l62,plain,
( ~ unequally_directed_lines(sK1,line_connecting(X0_85,X0_85))
| ~ unequally_directed_lines(sK1,reverse_line(line_connecting(X0_85,X0_85)))
| left_convergent_lines(sK1,line_connecting(X0_85,X0_85))
| left_convergent_lines(sK1,reverse_line(line_connecting(X0_85,X0_85))) ),
inference(instantiation,[status(thm)],[36]) ).
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(l76,plain,
~ left_convergent_lines(sK1,line_connecting(X0_85,X0_85)),
inference(instantiation,[status(thm)],[39]) ).
cnf(l19,plain,
( ~ unequally_directed_lines(sK1,line_connecting(X0_85,X0_85))
| ~ unequally_directed_lines(sK1,reverse_line(line_connecting(X0_85,X0_85)))
| left_convergent_lines(sK1,line_connecting(X0_85,X0_85))
| left_convergent_lines(sK1,reverse_line(line_connecting(X0_85,X0_85))) ),
inference(instantiation,[status(thm)],[36]) ).
cnf(l52,plain,
~ left_convergent_lines(sK1,line_connecting(X0_85,X0_85)),
inference(instantiation,[status(thm)],[39]) ).
cnf(33,plain,
( unequally_directed_lines(X0,reverse_line(X1))
| ~ sP2(X0,X1) ),
inference(cnf,[status(esa)],[oag7]) ).
cnf(l70,plain,
( unequally_directed_lines(sK1,reverse_line(line_connecting(X0_85,X0_85)))
| ~ sP2(sK1,line_connecting(X0_85,X0_85)) ),
inference(instantiation,[status(thm)],[33]) ).
cnf(40,plain,
~ left_convergent_lines(X0,reverse_line(X1)),
inference(cnf,[status(esa)],[oag11]) ).
cnf(l83,plain,
~ left_convergent_lines(sK1,reverse_line(line_connecting(X0_85,X0_85))),
inference(instantiation,[status(thm)],[40]) ).
cnf(l387,plain,
~ left_convergent_lines(sK1,reverse_line(line_connecting(X0_85,X0_85))),
inference(instantiation,[status(thm)],[39]) ).
cnf(l3,plain,
( ~ unequally_directed_lines(sK1,reverse_line(sK1))
| unequally_directed_lines(sK1,reverse_line(line_connecting(X1_444,X1_444)))
| unequally_directed_lines(reverse_line(sK1),reverse_line(line_connecting(X1_444,X1_444))) ),
inference(instantiation,[status(thm)],[30]) ).
cnf(l132,plain,
( ~ unequally_directed_lines(reverse_line(sK1),reverse_line(line_connecting(X1_444,X1_444)))
| unequally_directed_lines(reverse_line(sK1),line_connecting(X1_444,X1_444))
| unequally_directed_lines(reverse_line(line_connecting(X1_444,X1_444)),line_connecting(X1_444,X1_444)) ),
inference(instantiation,[status(thm)],[30]) ).
cnf(l174,plain,
( ~ unequally_directed_lines(reverse_line(line_connecting(X1_444,X1_444)),line_connecting(X1_444,X1_444))
| unequally_directed_lines(reverse_line(line_connecting(X1_444,X1_444)),reverse_line(line_connecting(X1_444,X1_444)))
| unequally_directed_lines(line_connecting(X1_444,X1_444),reverse_line(line_connecting(X1_444,X1_444))) ),
inference(instantiation,[status(thm)],[30]) ).
cnf(l186,plain,
~ unequally_directed_lines(line_connecting(X1_444,X1_444),reverse_line(line_connecting(X1_444,X1_444))),
inference(instantiation,[status(thm)],[51]) ).
cnf(l144,plain,
( ~ unequally_directed_lines(reverse_line(sK1),line_connecting(X1_444,X1_444))
| ~ unequally_directed_lines(reverse_line(sK1),reverse_line(line_connecting(X1_444,X1_444)))
| left_convergent_lines(reverse_line(sK1),line_connecting(X1_444,X1_444))
| left_convergent_lines(reverse_line(sK1),reverse_line(line_connecting(X1_444,X1_444))) ),
inference(instantiation,[status(thm)],[36]) ).
cnf(l145,plain,
~ left_convergent_lines(reverse_line(sK1),line_connecting(X1_444,X1_444)),
inference(instantiation,[status(thm)],[39]) ).
cnf(l146,plain,
~ left_convergent_lines(reverse_line(sK1),reverse_line(line_connecting(X1_444,X1_444))),
inference(instantiation,[status(thm)],[39]) ).
fof(oag5,plain,
! [L] : ~ unequally_directed_lines(L,L),
file('Axioms/GEO007+0.ax',oag5) ).
cnf(29,plain,
~ unequally_directed_lines(X0,X0),
inference(cnf,[status(esa)],[oag5]) ).
cnf(l176,plain,
~ unequally_directed_lines(reverse_line(line_connecting(X1_444,X1_444)),reverse_line(line_connecting(X1_444,X1_444))),
inference(instantiation,[status(thm)],[29]) ).
cnf(l5,plain,
( ~ unequally_directed_lines(sK1,reverse_line(line_connecting(X1_444,X1_444)))
| unequally_directed_lines(sK1,line_connecting(X1_444,X1_444))
| unequally_directed_lines(reverse_line(line_connecting(X1_444,X1_444)),line_connecting(X1_444,X1_444)) ),
inference(instantiation,[status(thm)],[30]) ).
cnf(l408,plain,
( ~ unequally_directed_lines(reverse_line(line_connecting(X1_444,X1_444)),line_connecting(X1_444,X1_444))
| unequally_directed_lines(reverse_line(line_connecting(X1_444,X1_444)),reverse_line(line_connecting(X1_444,X1_444)))
| unequally_directed_lines(line_connecting(X1_444,X1_444),reverse_line(line_connecting(X1_444,X1_444))) ),
inference(instantiation,[status(thm)],[30]) ).
cnf(l11,plain,
( ~ unequally_directed_lines(sK1,line_connecting(X1_444,X1_444))
| ~ unequally_directed_lines(sK1,reverse_line(line_connecting(X1_444,X1_444)))
| left_convergent_lines(sK1,line_connecting(X1_444,X1_444))
| left_convergent_lines(sK1,reverse_line(line_connecting(X1_444,X1_444))) ),
inference(instantiation,[status(thm)],[36]) ).
cnf(l446,plain,
~ unequally_directed_lines(reverse_line(line_connecting(X1_444,X1_444)),reverse_line(line_connecting(X1_444,X1_444))),
inference(instantiation,[status(thm)],[29]) ).
cnf(l444,plain,
~ unequally_directed_lines(line_connecting(X1_444,X1_444),reverse_line(line_connecting(X1_444,X1_444))),
inference(instantiation,[status(thm)],[51]) ).
cnf(l60,plain,
~ left_convergent_lines(sK1,line_connecting(X1_444,X1_444)),
inference(instantiation,[status(thm)],[39]) ).
cnf(l107,plain,
~ left_convergent_lines(sK1,reverse_line(line_connecting(X1_444,X1_444))),
inference(instantiation,[status(thm)],[40]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l31,l85,l128,l6,l62,l76,l19,l52,l70,l83,l387,l3,l132,l174,l186,l144,l145,l146,l176,l5,l408,l11,l446,l444,l60,l107]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : GEO260+1 : TPTP v9.0.0. Bugfixed v8.1.0.
% 0.00/0.08 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.26 % Computer : n027.cluster.edu
% 0.07/0.26 % Model : x86_64 x86_64
% 0.07/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26 % Memory : 8042.1875MB
% 0.07/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26 % CPULimit : 300
% 0.07/0.26 % WCLimit : 300
% 0.07/0.26 % DateTime : Sun Jul 20 11:52:17 EDT 2025
% 0.07/0.27 % CPUTime :
% 0.07/0.27 % launching worker at depth: 3
% 0.07/0.27 % launching worker at depth: 7
% 0.07/0.27 % launching worker at depth: 4
% 0.07/0.27 % launching worker at depth: 5
% 0.07/0.27 % launching worker at depth: 6
% 0.07/0.27 % launching worker at depth: 1
% 0.07/0.27 % launching worker at depth: 2
% 0.07/0.27 % launching worker at depth: 8
% 0.07/0.27 % launching worker at depth: 9
% 0.07/0.27 % launching worker at depth: 10
% 0.11/0.30 % launching worker at depth: 11
% 2.89/0.68 % launching worker at depth: 12
% 9.05/1.44 % SZS status Theorem for theBenchmark
% 9.05/1.44 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------