%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SWV367+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n020.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 0.14s 0.40s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of formulae : 11 ( 7 unt; 0 def)
% Number of atoms : 15 ( 6 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 9 ( 5 ~; 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 : 15 ( 3 sgn 9 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ax8,axiom,
! [U] : ~ contains_pq(create_pq,U),
file('theBenchmark.p',ax8) ).
fof(ax54,axiom,
! [U,V] : i(triple(U,create_slb,V)) = create_pq,
file('theBenchmark.p',ax54) ).
fof(l3_co,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('theBenchmark.p',l3_co) ).
fof(l3_co_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(assume_negation,[status(cth)],[l3_co]) ).
fof(nnf_61,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(fof_nnf,[status(thm)],[l3_co_neg]) ).
fof(sk_l3_co_neg,plain,
( i(remove_cpq(triple(sK0,create_slb,sK1),sK2)) != remove_pq(i(triple(sK0,create_slb,sK1)),sK2)
& contains_pq(i(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),
inference(split_conjunct,[status(thm)],[sk_l3_co_neg]) ).
cnf(c_136,plain,
i(triple(A,create_slb,B)) = create_pq,
inference(clausify,[status(thm)],[ax54]) ).
cnf(c_189,plain,
~ contains_pq(create_pq,A),
inference(clausify,[status(thm)],[ax8]) ).
cnf(c_202,negated_conjecture,
contains_pq(create_pq,sK2),
inference(paramod,[status(thm)],[c_136,c_133]) ).
cnf(c_201,negated_conjecture,
$false,
inference(resolve,[status(thm)],[c_189,c_202]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV367+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n020.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sat Sep 26 13:39:49 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.09/0.37 % Process 1704680 was started by sandbox on n020,
% 0.09/0.37 % Sat Sep 26 13:39:49 2026
% 0.09/0.37 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.14/0.39
% 0.14/0.39 % From the command line: assign(max_seconds, 300).
% 0.14/0.40
% 0.14/0.40 % SZS status Theorem for theBenchmark
% 0.14/0.40
% 0.14/0.40 % Proof 1 at 0.01 (+ 0.00) seconds.
% 0.14/0.40 % Length of proof is 7.
% 0.14/0.40 % Level of proof is 2.
% 0.14/0.40 % Maximum clause weight is 22.000.
% 0.14/0.40 % Given clauses 0.
% 0.14/0.40
% 0.14/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------