%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : GEO080+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n017.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 01:16:59 PM UTC 2026
% Result : Theorem 24.95s 8.66s
% Output : Proof 24.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 2
% Syntax : Number of formulae : 13 ( 7 unt; 0 def)
% Number of atoms : 28 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 26 ( 11 ~; 9 |; 4 &)
% ( 1 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 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; 0-2 aty)
% Number of variables : 19 ( 0 sgn 11 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f0,axiom,
! [C,C1] :
( part_of(C1,C)
<=> ! [P] :
( incident_c(P,C1)
=> incident_c(P,C) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',part_of_defn) ).
fof(f0_nnf,plain,
! [C,C1] :
( ( ? [P] :
( ~ incident_c(P,C)
& incident_c(P,C1) )
| part_of(C1,C) )
& ( ! [P] :
( incident_c(P,C)
| ~ incident_c(P,C1) )
| ~ part_of(C1,C) ) ),
inference(nnf_transformation,[status(thm)],[f0]) ).
fof(f0_sk,plain,
! [C1,C,P] :
( ( ( ~ incident_c(sk0(C,C1),C)
& incident_c(sk0(C,C1),C1) )
| part_of(C1,C) )
& ( incident_c(P,C)
| ~ incident_c(P,C1)
| ~ part_of(C1,C) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk0])],[f0_nnf]) ).
cnf(c2,plain,
( ~ incident_c(sk0(X0,X1),X0)
| part_of(X1,X0) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(c1,plain,
( incident_c(sk0(X0,X1),X1)
| part_of(X1,X0) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p55,plain,
( part_of(X0,X0)
| part_of(X0,X0) ),
inference(resolution,[status(thm)],[c2,c1]) ).
cnf(p56,plain,
part_of(X0,X0),
inference(factoring,[status(thm)],[p55]) ).
fof(f16,conjecture,
! [C] : part_of(C,C),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_reflexivity) ).
fof(f16_neg,negated_conjecture,
~ ! [C] : part_of(C,C),
inference(negated_conjecture,[status(cth)],[f16]) ).
fof(f16_nnf,plain,
? [C] : ~ part_of(C,C),
inference(nnf_transformation,[status(thm)],[f16_neg]) ).
fof(f16_sk,plain,
~ part_of(sk13,sk13),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk13])],[f16_nnf]) ).
cnf(c48,plain,
~ part_of(sk13,sk13),
inference(cnf_transformation,[status(esa)],[f16_sk]) ).
cnf(p57,plain,
$false,
inference(resolution,[status(thm)],[p56,c48]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO080+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.09/5.37 % Computer : n017.cluster.edu
% 0.09/5.37 % Model : x86_64 x86_64
% 0.09/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.37 % Memory : 8046.5625MB
% 0.09/5.37 % OS : Linux 6.8.0-71-generic
% 0.09/5.37 % CPULimit : 300
% 0.09/5.37 % WCLimit : 300
% 0.09/5.37 % DateTime : Wed Sep 23 10:40:08 UTC 2026
% 0.09/5.37 % CPUTime :
% 0.09/5.37 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 24.95/8.66 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 24.95/8.66 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------