%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : GEO232+1 : TPTP v9.3.1. Bugfixed v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun Sep 27 07:17:37 AM UTC 2026
% Result : Theorem 0.09s 0.39s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 3
% Syntax : Number of formulae : 14 ( 6 unt; 0 def)
% Number of atoms : 27 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 24 ( 11 ~; 7 |; 3 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 10 ( 0 sgn 5 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(oag5,axiom,
! [L] : ~ unequally_directed_lines(L,L),
file('theBenchmark.p',oag5) ).
fof(oag8,axiom,
! [L,M] :
( ( line(M)
& line(L) )
=> ( unequally_directed_lines(L,reverse_line(M))
| unequally_directed_lines(L,M) ) ),
file('theBenchmark.p',oag8) ).
fof(con,conjecture,
! [L] :
( line(L)
=> unequally_directed_lines(L,reverse_line(L)) ),
file('theBenchmark.p',con) ).
fof(con_neg,negated_conjecture,
~ ! [L] :
( line(L)
=> unequally_directed_lines(L,reverse_line(L)) ),
inference(assume_negation,[status(cth)],[con]) ).
fof(nnf_32,plain,
? [L] :
( ~ unequally_directed_lines(L,reverse_line(L))
& line(L) ),
inference(fof_nnf,[status(thm)],[con_neg]) ).
fof(sk_con_neg,plain,
( ~ unequally_directed_lines(sK0,reverse_line(sK0))
& line(sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(L,sK0)],[nnf_32]) ).
cnf(c_73,negated_conjecture,
~ unequally_directed_lines(sK0,reverse_line(sK0)),
inference(split_conjunct,[status(thm)],[sk_con_neg]) ).
cnf(c_74,negated_conjecture,
line(sK0),
inference(split_conjunct,[status(thm)],[sk_con_neg]) ).
cnf(c_93,plain,
( unequally_directed_lines(A,reverse_line(B))
| unequally_directed_lines(A,B)
| ~ line(B)
| ~ line(A) ),
inference(clausify,[status(thm)],[oag8]) ).
cnf(c_95,plain,
~ unequally_directed_lines(A,A),
inference(clausify,[status(thm)],[oag5]) ).
cnf(c_115,negated_conjecture,
( unequally_directed_lines(A,reverse_line(sK0))
| unequally_directed_lines(A,sK0)
| ~ line(A) ),
inference(resolve,[status(thm)],[c_93,c_74]) ).
cnf(c_116,negated_conjecture,
( unequally_directed_lines(sK0,reverse_line(sK0))
| ~ line(sK0) ),
inference(resolve,[status(thm)],[c_115,c_95]) ).
cnf(c_117,negated_conjecture,
~ line(sK0),
inference(resolve,[status(thm)],[c_116,c_73]) ).
cnf(c_114,negated_conjecture,
$false,
inference(resolve,[status(thm)],[c_74,c_117]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO232+1 : TPTP v9.3.1. Bugfixed v6.4.0.
% 0.00/0.03 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n016.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Fri Sep 25 13:13:59 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.09/0.36 % Process 2453069 was started by sandbox2 on n016,
% 0.09/0.36 % Fri Sep 25 13:13:59 2026
% 0.09/0.36 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.09/0.37
% 0.09/0.37 % From the command line: assign(max_seconds, 300).
% 0.09/0.39
% 0.09/0.39 % SZS status Theorem for theBenchmark
% 0.09/0.39
% 0.09/0.39 % Proof 1 at 0.01 (+ 0.00) seconds.
% 0.09/0.39 % Length of proof is 8.
% 0.09/0.39 % Level of proof is 2.
% 0.09/0.39 % Maximum clause weight is 11.000.
% 0.09/0.39 % Given clauses 14.
% 0.09/0.39
% 0.09/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------