%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : GEO086+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n013.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 01:17:00 PM UTC 2026
% Result : Theorem 27.86s 4.43s
% Output : Proof 27.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 2
% Syntax : Number of formulae : 15 ( 5 unt; 0 def)
% Number of atoms : 33 ( 5 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 27 ( 9 ~; 8 |; 7 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 14 ( 0 sgn 10 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7,axiom,
! [C,C1] :
( ( C1 != C
& part_of(C1,C) )
=> open(C1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c1) ).
fof(f7_nnf,plain,
! [C,C1] :
( open(C1)
| C1 = C
| ~ part_of(C1,C) ),
inference(nnf_transformation,[status(thm)],[f7]) ).
fof(f7_sk,plain,
! [C1,C] :
( open(C1)
| C1 = C
| ~ part_of(C1,C) ),
inference(skolemisation,[status(esa)],[f7_nnf]) ).
cnf(c34,plain,
( open(X1)
| X1 = X0
| ~ part_of(X1,X0) ),
inference(cnf_transformation,[status(esa)],[f7_sk]) ).
fof(f16,conjecture,
! [C,Cpp] :
( ( part_of(Cpp,C)
& open(C) )
=> open(Cpp) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_2_7_2) ).
fof(f16_neg,negated_conjecture,
~ ! [C,Cpp] :
( ( part_of(Cpp,C)
& open(C) )
=> open(Cpp) ),
inference(negated_conjecture,[status(cth)],[f16]) ).
fof(f16_nnf,plain,
? [C,Cpp] :
( ~ open(Cpp)
& part_of(Cpp,C)
& open(C) ),
inference(nnf_transformation,[status(thm)],[f16_neg]) ).
fof(f16_sk,plain,
( ~ open(sk14)
& part_of(sk14,sk13)
& open(sk13) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk13,sk14])],[f16_nnf]) ).
cnf(c49,plain,
part_of(sk14,sk13),
inference(cnf_transformation,[status(esa)],[f16_sk]) ).
cnf(p272,plain,
( open(sk14)
| sk14 = sk13 ),
inference(resolution,[status(thm)],[c34,c49]) ).
cnf(c50,plain,
~ open(sk14),
inference(cnf_transformation,[status(esa)],[f16_sk]) ).
cnf(p273,plain,
( ~ open(sk13)
| open(sk14) ),
inference(superposition,[status(thm)],[p272,c50]) ).
cnf(c48,plain,
open(sk13),
inference(cnf_transformation,[status(esa)],[f16_sk]) ).
cnf(p277,plain,
open(sk14),
inference(resolution,[status(thm)],[p273,c48]) ).
cnf(p309,plain,
$false,
inference(resolution,[status(thm)],[p277,c50]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO086+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.03 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.07/0.34 % Computer : n013.cluster.edu
% 0.07/0.34 % Model : x86_64 x86_64
% 0.07/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.34 % Memory : 8046.5625MB
% 0.07/0.34 % OS : Linux 6.8.0-71-generic
% 0.07/0.34 % CPULimit : 300
% 0.07/0.34 % WCLimit : 300
% 0.07/0.34 % DateTime : Wed Sep 23 10:46:20 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.07/0.35 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 27.86/4.43 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 27.86/4.43 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------