%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : GEO258+1 : TPTP v9.3.1. Bugfixed v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n010.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 : Fri Sep 25 01:17:45 PM UTC 2026
% Result : Theorem 5.08s 1.11s
% Output : Proof 5.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 2
% Syntax : Number of formulae : 31 ( 7 unt; 0 def)
% Number of atoms : 83 ( 0 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 77 ( 25 ~; 37 |; 12 &)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-4 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 51 ( 2 sgn 20 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [L,A,B,C] :
( between_on_line(L,A,B,C)
<=> ( ( before_on_line(L,B,A)
& before_on_line(L,C,B) )
| ( before_on_line(L,B,C)
& before_on_line(L,A,B) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',bet_def) ).
fof(f4_nnf,plain,
! [L,A,B,C] :
( ( ( ( ~ before_on_line(L,B,A)
| ~ before_on_line(L,C,B) )
& ( ~ before_on_line(L,B,C)
| ~ before_on_line(L,A,B) ) )
| between_on_line(L,A,B,C) )
& ( ( before_on_line(L,B,A)
& before_on_line(L,C,B) )
| ( before_on_line(L,B,C)
& before_on_line(L,A,B) )
| ~ between_on_line(L,A,B,C) ) ),
inference(nnf_transformation,[status(thm)],[f4]) ).
fof(f4_sk,plain,
! [L,A,B,C] :
( ( ( ( ~ before_on_line(L,B,A)
| ~ before_on_line(L,C,B) )
& ( ~ before_on_line(L,B,C)
| ~ before_on_line(L,A,B) ) )
| between_on_line(L,A,B,C) )
& ( ( before_on_line(L,B,A)
& before_on_line(L,C,B) )
| ( before_on_line(L,B,C)
& before_on_line(L,A,B) )
| ~ between_on_line(L,A,B,C) ) ),
inference(skolemisation,[status(esa)],[f4_nnf]) ).
cnf(c23,plain,
( ~ before_on_line(X0,X2,X3)
| ~ before_on_line(X0,X1,X2)
| between_on_line(X0,X1,X2,X3) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(c19,plain,
( before_on_line(X0,X3,X2)
| before_on_line(X0,X1,X2)
| ~ between_on_line(X0,X1,X2,X3) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
fof(f31,conjecture,
! [L,A,B,C] :
( between_on_line(L,A,B,C)
=> between_on_line(L,C,B,A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f31_neg,negated_conjecture,
~ ! [L,A,B,C] :
( between_on_line(L,A,B,C)
=> between_on_line(L,C,B,A) ),
inference(negated_conjecture,[status(cth)],[f31]) ).
fof(f31_nnf,plain,
? [L,A,B,C] :
( ~ between_on_line(L,C,B,A)
& between_on_line(L,A,B,C) ),
inference(nnf_transformation,[status(thm)],[f31_neg]) ).
fof(f31_sk,plain,
( ~ between_on_line(sk0,sk3,sk2,sk1)
& between_on_line(sk0,sk1,sk2,sk3) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk0,sk1,sk2,sk3])],[f31_nnf]) ).
cnf(c58,plain,
between_on_line(sk0,sk1,sk2,sk3),
inference(cnf_transformation,[status(esa)],[f31_sk]) ).
cnf(p64,plain,
( before_on_line(sk0,sk3,sk2)
| before_on_line(sk0,sk1,sk2) ),
inference(resolution,[status(thm)],[c19,c58]) ).
cnf(p96,plain,
( before_on_line(sk0,sk1,sk2)
| ~ before_on_line(sk0,sk2,X0)
| between_on_line(sk0,sk3,sk2,X0) ),
inference(resolution,[status(thm)],[c23,p64]) ).
cnf(c20,plain,
( before_on_line(X0,X2,X1)
| before_on_line(X0,X1,X2)
| ~ between_on_line(X0,X1,X2,X3) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(p66,plain,
( before_on_line(sk0,sk2,sk1)
| before_on_line(sk0,sk1,sk2) ),
inference(resolution,[status(thm)],[c20,c58]) ).
cnf(p191,plain,
( before_on_line(sk0,sk1,sk2)
| before_on_line(sk0,sk1,sk2)
| between_on_line(sk0,sk3,sk2,sk1) ),
inference(resolution,[status(thm)],[p96,p66]) ).
cnf(p475,plain,
( before_on_line(sk0,sk1,sk2)
| between_on_line(sk0,sk3,sk2,sk1) ),
inference(factoring,[status(thm)],[p191]) ).
cnf(c59,plain,
~ between_on_line(sk0,sk3,sk2,sk1),
inference(cnf_transformation,[status(esa)],[f31_sk]) ).
cnf(p476,plain,
before_on_line(sk0,sk1,sk2),
inference(resolution,[status(thm)],[p475,c59]) ).
cnf(c24,plain,
( ~ before_on_line(X0,X2,X1)
| ~ before_on_line(X0,X3,X2)
| between_on_line(X0,X1,X2,X3) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(p479,plain,
( ~ before_on_line(sk0,sk2,X0)
| between_on_line(sk0,X0,sk2,sk1) ),
inference(resolution,[status(thm)],[p476,c24]) ).
cnf(c22,plain,
( before_on_line(X0,X2,X1)
| before_on_line(X0,X2,X3)
| ~ between_on_line(X0,X1,X2,X3) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(p86,plain,
( before_on_line(sk0,sk2,sk1)
| before_on_line(sk0,sk2,sk3) ),
inference(resolution,[status(thm)],[c22,c58]) ).
cnf(p489,plain,
( before_on_line(sk0,sk2,sk1)
| between_on_line(sk0,sk3,sk2,sk1) ),
inference(resolution,[status(thm)],[p479,p86]) ).
cnf(p490,plain,
before_on_line(sk0,sk2,sk1),
inference(resolution,[status(thm)],[p489,c59]) ).
cnf(c21,plain,
( before_on_line(X0,X3,X2)
| before_on_line(X0,X2,X3)
| ~ between_on_line(X0,X1,X2,X3) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(p78,plain,
( before_on_line(sk0,sk3,sk2)
| before_on_line(sk0,sk2,sk3) ),
inference(resolution,[status(thm)],[c21,c58]) ).
cnf(p100,plain,
( before_on_line(sk0,sk2,sk3)
| ~ before_on_line(sk0,sk2,X0)
| between_on_line(sk0,sk3,sk2,X0) ),
inference(resolution,[status(thm)],[c23,p78]) ).
cnf(p494,plain,
( before_on_line(sk0,sk2,sk3)
| between_on_line(sk0,sk3,sk2,sk1) ),
inference(resolution,[status(thm)],[p490,p100]) ).
cnf(p501,plain,
before_on_line(sk0,sk2,sk3),
inference(resolution,[status(thm)],[p494,c59]) ).
cnf(p505,plain,
between_on_line(sk0,sk3,sk2,sk1),
inference(resolution,[status(thm)],[p501,p479]) ).
cnf(p508,plain,
$false,
inference(resolution,[status(thm)],[p505,c59]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO258+1 : TPTP v9.3.1. Bugfixed v6.4.0.
% 0.00/0.03 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.09/0.36 % Computer : n010.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 : Wed Sep 23 11:43:57 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 5.08/1.11 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.08/1.11 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------