%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SWV369+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 90.76s 14.11s
% Output : Proof 90.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of formulae : 25 ( 14 unt; 0 def)
% Number of atoms : 44 ( 4 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 37 ( 18 ~; 10 |; 6 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-3 aty)
% Number of variables : 41 ( 6 sgn 30 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f38,axiom,
! [U,V,W,X] :
( contains_cpq(triple(U,V,W),X)
<=> contains_slb(V,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax39) ).
fof(f38_nnf,plain,
! [U,V,W,X] :
( ( ~ contains_slb(V,X)
| contains_cpq(triple(U,V,W),X) )
& ( contains_slb(V,X)
| ~ contains_cpq(triple(U,V,W),X) ) ),
inference(nnf_transformation,[status(thm)],[f38]) ).
fof(f38_sk,plain,
! [U,V,W,X] :
( ( ~ contains_slb(V,X)
| contains_cpq(triple(U,V,W),X) )
& ( contains_slb(V,X)
| ~ contains_cpq(triple(U,V,W),X) ) ),
inference(skolemisation,[status(esa)],[f38_nnf]) ).
cnf(c51,plain,
( contains_slb(X1,X3)
| ~ contains_cpq(triple(X0,X1,X2),X3) ),
inference(cnf_transformation,[status(esa)],[f38_sk]) ).
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_cpq(triple(U,create_slb,V),W)
<=> contains_pq(i(triple(U,create_slb,V)),W) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l5_co) ).
fof(f62_neg,negated_conjecture,
~ ! [U,V,W] :
( contains_cpq(triple(U,create_slb,V),W)
<=> contains_pq(i(triple(U,create_slb,V)),W) ),
inference(negated_conjecture,[status(cth)],[f62]) ).
fof(f62_nnf,plain,
? [U,V,W] :
( ( contains_pq(i(triple(U,create_slb,V)),W)
& ~ contains_cpq(triple(U,create_slb,V),W) )
| ( ~ contains_pq(i(triple(U,create_slb,V)),W)
& contains_cpq(triple(U,create_slb,V),W) ) ),
inference(nnf_transformation,[status(thm)],[f62_neg]) ).
fof(f62_sk,plain,
( ( contains_pq(i(triple(sk4,create_slb,sk5)),sk6)
& ~ contains_cpq(triple(sk4,create_slb,sk5),sk6) )
| ( ~ contains_pq(i(triple(sk4,create_slb,sk5)),sk6)
& contains_cpq(triple(sk4,create_slb,sk5),sk6) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk4,sk5,sk6])],[f62_nnf]) ).
cnf(c89,plain,
( contains_pq(i(triple(sk4,create_slb,sk5)),sk6)
| contains_cpq(triple(sk4,create_slb,sk5),sk6) ),
inference(cnf_transformation,[status(esa)],[f62_sk]) ).
cnf(p95,plain,
( contains_pq(create_pq,sk6)
| contains_cpq(triple(sk4,create_slb,sk5),sk6) ),
inference(superposition,[status(thm)],[c68,c89]) ).
cnf(p595,plain,
( contains_pq(create_pq,sk6)
| contains_slb(create_slb,sk6) ),
inference(resolution,[status(thm)],[c51,p95]) ).
fof(f19,axiom,
! [U] : ~ contains_slb(create_slb,U),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax20) ).
fof(f19_nnf,plain,
! [U] : ~ contains_slb(create_slb,U),
inference(nnf_transformation,[status(thm)],[f19]) ).
fof(f19_sk,plain,
! [U] : ~ contains_slb(create_slb,U),
inference(skolemisation,[status(esa)],[f19_nnf]) ).
cnf(c25,plain,
~ contains_slb(create_slb,X0),
inference(cnf_transformation,[status(esa)],[f19_sk]) ).
cnf(p599,plain,
contains_pq(create_pq,sk6),
inference(resolution,[status(thm)],[p595,c25]) ).
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(p600,plain,
$false,
inference(resolution,[status(thm)],[p599,c9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV369+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.10/0.37 % Computer : n018.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Thu Sep 24 19:26:05 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 90.76/14.11 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 90.76/14.11 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------