%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SWV369+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n026.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 : Sun Sep 27 09:07:34 AM UTC 2026
% Result : Theorem 0.10s 0.42s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of formulae : 17 ( 9 unt; 0 def)
% Number of atoms : 29 ( 2 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 22 ( 10 ~; 7 |; 2 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 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 : 25 ( 6 sgn 14 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ax8,axiom,
! [U] : ~ contains_pq(create_pq,U),
file('theBenchmark.p',ax8) ).
fof(ax20,axiom,
! [U] : ~ contains_slb(create_slb,U),
file('theBenchmark.p',ax20) ).
fof(ax39,axiom,
! [U,V,W,X] :
( contains_cpq(triple(U,V,W),X)
<=> contains_slb(V,X) ),
file('theBenchmark.p',ax39) ).
fof(ax54,axiom,
! [U,V] : i(triple(U,create_slb,V)) = create_pq,
file('theBenchmark.p',ax54) ).
fof(l5_co,conjecture,
! [U,V,W] :
( contains_cpq(triple(U,create_slb,V),W)
<=> contains_pq(i(triple(U,create_slb,V)),W) ),
file('theBenchmark.p',l5_co) ).
fof(l5_co_neg,negated_conjecture,
~ ! [U,V,W] :
( contains_cpq(triple(U,create_slb,V),W)
<=> contains_pq(i(triple(U,create_slb,V)),W) ),
inference(assume_negation,[status(cth)],[l5_co]) ).
fof(nnf_61,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(fof_nnf,[status(thm)],[l5_co_neg]) ).
fof(sk_l5_co_neg,plain,
( ( ~ contains_pq(i(triple(sK0,create_slb,sK1)),sK2)
| ~ contains_cpq(triple(sK0,create_slb,sK1),sK2) )
& ( contains_pq(i(triple(sK0,create_slb,sK1)),sK2)
| contains_cpq(triple(sK0,create_slb,sK1),sK2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(U,sK0),skolemize(V,sK1),skolemize(W,sK2)],[nnf_61]) ).
cnf(c_133,negated_conjecture,
( contains_pq(i(triple(sK0,create_slb,sK1)),sK2)
| contains_cpq(triple(sK0,create_slb,sK1),sK2) ),
inference(split_conjunct,[status(thm)],[sk_l5_co_neg]) ).
cnf(c_136,plain,
i(triple(A,create_slb,B)) = create_pq,
inference(clausify,[status(thm)],[ax54]) ).
cnf(c_152,plain,
( contains_slb(B,D)
| ~ contains_cpq(triple(A,B,C),D) ),
inference(clausify,[status(thm)],[ax39]) ).
cnf(c_178,plain,
~ contains_slb(create_slb,A),
inference(clausify,[status(thm)],[ax20]) ).
cnf(c_187,plain,
~ contains_pq(create_pq,A),
inference(clausify,[status(thm)],[ax8]) ).
cnf(c_302,negated_conjecture,
( contains_pq(create_pq,sK2)
| contains_cpq(triple(sK0,create_slb,sK1),sK2) ),
inference(paramod,[status(thm)],[c_136,c_133]) ).
cnf(c_199,negated_conjecture,
contains_cpq(triple(sK0,create_slb,sK1),sK2),
inference(resolve,[status(thm)],[c_187,c_302]) ).
cnf(c_303,negated_conjecture,
contains_slb(create_slb,sK2),
inference(resolve,[status(thm)],[c_199,c_152]) ).
cnf(c_301,negated_conjecture,
$false,
inference(resolve,[status(thm)],[c_178,c_303]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV369+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n026.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 : Sat Sep 26 13:41:26 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.10/0.38 % Process 1128525 was started by sandbox2 on n026,
% 0.10/0.38 % Sat Sep 26 13:41:26 2026
% 0.10/0.38 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.10/0.40
% 0.10/0.40 % From the command line: assign(max_seconds, 300).
% 0.10/0.42
% 0.10/0.42 % SZS status Theorem for theBenchmark
% 0.10/0.42
% 0.10/0.42 % Proof 1 at 0.02 (+ 0.00) seconds.
% 0.10/0.42 % Length of proof is 12.
% 0.10/0.42 % Level of proof is 3.
% 0.10/0.42 % Maximum clause weight is 13.000.
% 0.10/0.42 % Given clauses 85.
% 0.10/0.42
% 0.10/0.42 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------