%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SWV367+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n018.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 03:13:06 PM UTC 2026
% Result : Theorem 38.45s 6.12s
% Output : Proof 38.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of formulae : 15 ( 11 unt; 0 def)
% Number of atoms : 19 ( 8 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 11 ( 7 ~; 0 |; 2 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-3 aty)
% Number of variables : 21 ( 3 sgn 15 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f53,axiom,
! [U,V] : i(triple(U,create_slb,V)) = create_pq,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax54) ).
fof(f53_nnf,plain,
! [U,V] : i(triple(U,create_slb,V)) = create_pq,
inference(nnf_transformation,[status(thm)],[f53]) ).
fof(f53_sk,plain,
! [U,V] : i(triple(U,create_slb,V)) = create_pq,
inference(skolemisation,[status(esa)],[f53_nnf]) ).
cnf(c68,plain,
i(triple(X0,create_slb,X1)) = create_pq,
inference(cnf_transformation,[status(esa)],[f53_sk]) ).
fof(f62,conjecture,
! [U,V,W] :
( contains_pq(i(triple(U,create_slb,V)),W)
=> i(remove_cpq(triple(U,create_slb,V),W)) = remove_pq(i(triple(U,create_slb,V)),W) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l3_co) ).
fof(f62_neg,negated_conjecture,
~ ! [U,V,W] :
( contains_pq(i(triple(U,create_slb,V)),W)
=> i(remove_cpq(triple(U,create_slb,V),W)) = remove_pq(i(triple(U,create_slb,V)),W) ),
inference(negated_conjecture,[status(cth)],[f62]) ).
fof(f62_nnf,plain,
? [U,V,W] :
( i(remove_cpq(triple(U,create_slb,V),W)) != remove_pq(i(triple(U,create_slb,V)),W)
& contains_pq(i(triple(U,create_slb,V)),W) ),
inference(nnf_transformation,[status(thm)],[f62_neg]) ).
fof(f62_sk,plain,
( i(remove_cpq(triple(sk4,create_slb,sk5),sk6)) != remove_pq(i(triple(sk4,create_slb,sk5)),sk6)
& contains_pq(i(triple(sk4,create_slb,sk5)),sk6) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk4,sk5,sk6])],[f62_nnf]) ).
cnf(c88,plain,
contains_pq(i(triple(sk4,create_slb,sk5)),sk6),
inference(cnf_transformation,[status(esa)],[f62_sk]) ).
cnf(p91,plain,
contains_pq(create_pq,sk6),
inference(superposition,[status(thm)],[c68,c88]) ).
fof(f7,axiom,
! [U] : ~ contains_pq(create_pq,U),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).
fof(f7_nnf,plain,
! [U] : ~ contains_pq(create_pq,U),
inference(nnf_transformation,[status(thm)],[f7]) ).
fof(f7_sk,plain,
! [U] : ~ contains_pq(create_pq,U),
inference(skolemisation,[status(esa)],[f7_nnf]) ).
cnf(c9,plain,
~ contains_pq(create_pq,X0),
inference(cnf_transformation,[status(esa)],[f7_sk]) ).
cnf(p92,plain,
$false,
inference(resolution,[status(thm)],[p91,c9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV367+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.07/0.34 % Computer : n018.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 : Thu Sep 24 19:25:04 UTC 2026
% 0.07/0.34 % CPUTime :
% 0.07/0.34 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 38.45/6.12 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 38.45/6.12 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------