%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SWW469+5 : TPTP v9.3.1. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n002.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 03:27:09 PM UTC 2026
% Result : Theorem 21.96s 3.83s
% Output : Proof 21.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 2
% Syntax : Number of formulae : 9 ( 5 unt; 0 def)
% Number of atoms : 17 ( 7 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 16 ( 8 ~; 5 |; 2 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 8 ( 0 sgn 4 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f17,axiom,
( hBOOL(hoare_1883395792gleton)
<=> ? [S,T] : ti(state,S) != ti(state,T) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_state__not__singleton__def) ).
fof(f17_nnf,plain,
( ( ! [S,T] : ti(state,S) = ti(state,T)
| hBOOL(hoare_1883395792gleton) )
& ( ? [S,T] : ti(state,S) != ti(state,T)
| ~ hBOOL(hoare_1883395792gleton) ) ),
inference(nnf_transformation,[status(thm)],[f17]) ).
fof(f17_sk,plain,
! [S,T] :
( ( ti(state,S) = ti(state,T)
| hBOOL(hoare_1883395792gleton) )
& ( ti(state,sk0) != ti(state,sk1)
| ~ hBOOL(hoare_1883395792gleton) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk0,sk1])],[f17_nnf]) ).
cnf(c18,plain,
( ti(state,sk0) != ti(state,sk1)
| ~ hBOOL(hoare_1883395792gleton) ),
inference(cnf_transformation,[status(esa)],[f17_sk]) ).
fof(f61,hypothesis,
hBOOL(hoare_1883395792gleton),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
fof(f61_nnf,plain,
hBOOL(hoare_1883395792gleton),
inference(nnf_transformation,[status(thm)],[f61]) ).
cnf(c75,plain,
hBOOL(hoare_1883395792gleton),
inference(cnf_transformation,[status(esa)],[f61_nnf]) ).
cnf(p90,plain,
undefined(state) != undefined(state),
inference(resolution,[status(thm)],[c18,c75]) ).
cnf(p91,plain,
$false,
inference(equality_resolution,[status(thm)],[p90]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWW469+5 : TPTP v9.3.1. Released v5.3.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.08/0.35 % Computer : n002.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Thu Sep 24 22:31:19 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 21.96/3.83 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 21.96/3.83 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------