%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : GEO231+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 : n023.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 01:38:40 PM UTC 2025
% Result : Theorem 2.99s 0.74s
% Output : CNFRefutation 2.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of formulae : 28 ( 13 unt; 0 def)
% Number of atoms : 61 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 63 ( 30 ~; 25 |; 3 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 43 ( 2 sgn 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(con,plain,
! [L,M,N] :
( ( ~ unequally_directed_lines(L,reverse_line(M))
& ~ unequally_directed_lines(L,N) )
=> ~ unequally_directed_lines(M,reverse_line(N)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(con_negated,plain,
~ ! [L,M,N] :
( ( ~ unequally_directed_lines(L,reverse_line(M))
& ~ unequally_directed_lines(L,N) )
=> ~ unequally_directed_lines(M,reverse_line(N)) ),
inference(negate_conjecture,[status(cth)],[con]) ).
cnf(60,plain,
unequally_directed_lines(sK2,reverse_line(sK3)),
inference(cnf,[status(esa)],[con_negated]) ).
cnf(l0,plain,
unequally_directed_lines(sK2,reverse_line(sK3)),
inference(instantiation,[status(thm)],[60]) ).
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(l1,plain,
( ~ unequally_directed_lines(sK2,reverse_line(sK3))
| unequally_directed_lines(sK2,line_connecting(X0_13,X0_13))
| unequally_directed_lines(reverse_line(sK3),line_connecting(X0_13,X0_13)) ),
inference(instantiation,[status(thm)],[30]) ).
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(l58,plain,
( ~ unequally_directed_lines(reverse_line(sK3),line_connecting(X0_13,X0_13))
| ~ unequally_directed_lines(reverse_line(sK3),reverse_line(line_connecting(X0_13,X0_13)))
| left_convergent_lines(reverse_line(sK3),line_connecting(X0_13,X0_13))
| left_convergent_lines(reverse_line(sK3),reverse_line(line_connecting(X0_13,X0_13))) ),
inference(instantiation,[status(thm)],[36]) ).
cnf(l4,plain,
( ~ unequally_directed_lines(sK2,line_connecting(X0_13,X0_13))
| unequally_directed_lines(sK2,reverse_line(line_connecting(X0_13,X0_13)))
| unequally_directed_lines(line_connecting(X0_13,X0_13),reverse_line(line_connecting(X0_13,X0_13))) ),
inference(instantiation,[status(thm)],[30]) ).
cnf(l64,plain,
( ~ unequally_directed_lines(reverse_line(sK3),line_connecting(X0_13,X0_13))
| unequally_directed_lines(reverse_line(sK3),reverse_line(line_connecting(X0_13,X0_13)))
| unequally_directed_lines(line_connecting(X0_13,X0_13),reverse_line(line_connecting(X0_13,X0_13))) ),
inference(instantiation,[status(thm)],[30]) ).
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(l70,plain,
( ~ left_convergent_lines(reverse_line(sK3),line_connecting(X0_13,X0_13))
| unequally_directed_lines(line_connecting(X0_13,X0_13),reverse_line(line_connecting(X0_13,X0_13)))
| left_convergent_lines(reverse_line(sK3),reverse_line(line_connecting(X0_13,X0_13))) ),
inference(instantiation,[status(thm)],[57]) ).
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(l75,plain,
~ left_convergent_lines(reverse_line(sK3),reverse_line(line_connecting(X0_13,X0_13))),
inference(instantiation,[status(thm)],[39]) ).
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(l83,plain,
~ unequally_directed_lines(line_connecting(X0_13,X0_13),reverse_line(line_connecting(X0_13,X0_13))),
inference(instantiation,[status(thm)],[51]) ).
cnf(l69,plain,
~ left_convergent_lines(reverse_line(sK3),reverse_line(line_connecting(X0_13,X0_13))),
inference(instantiation,[status(thm)],[39]) ).
cnf(l96,plain,
~ unequally_directed_lines(line_connecting(X0_13,X0_13),reverse_line(line_connecting(X0_13,X0_13))),
inference(instantiation,[status(thm)],[51]) ).
cnf(l6,plain,
( ~ unequally_directed_lines(sK2,line_connecting(X0_13,X0_13))
| ~ unequally_directed_lines(sK2,reverse_line(line_connecting(X0_13,X0_13)))
| left_convergent_lines(sK2,line_connecting(X0_13,X0_13))
| left_convergent_lines(sK2,reverse_line(line_connecting(X0_13,X0_13))) ),
inference(instantiation,[status(thm)],[36]) ).
cnf(l34,plain,
~ left_convergent_lines(sK2,line_connecting(X0_13,X0_13)),
inference(instantiation,[status(thm)],[39]) ).
cnf(l33,plain,
~ left_convergent_lines(sK2,reverse_line(line_connecting(X0_13,X0_13))),
inference(instantiation,[status(thm)],[39]) ).
cnf(l13,plain,
~ unequally_directed_lines(line_connecting(X0_13,X0_13),reverse_line(line_connecting(X0_13,X0_13))),
inference(instantiation,[status(thm)],[51]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l58,l4,l64,l70,l75,l83,l69,l96,l6,l34,l33,l13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO231+1 : TPTP v9.0.0. Bugfixed v6.4.0.
% 0.07/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n023.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 11:46:49 EDT 2025
% 0.12/0.33 % CPUTime :
% 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: 1
% 0.12/0.34 % launching worker at depth: 4
% 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
% 0.12/0.39 % launching worker at depth: 11
% 2.99/0.74 % SZS status Theorem for theBenchmark
% 2.99/0.74 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------