%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SWV386+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 : n014.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 09:07:36 AM UTC 2026
% Result : Theorem 0.10s 0.41s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 2
% Syntax : Number of formulae : 10 ( 4 unt; 0 def)
% Number of atoms : 20 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 24 ( 14 ~; 3 |; 4 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-1 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-3 aty)
% Number of variables : 21 ( 2 sgn 12 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(l22_l26,axiom,
! [U,V,W] :
( ~ check_cpq(triple(U,V,W))
=> ! [X] : ~ check_cpq(insert_cpq(triple(U,V,W),X)) ),
file('theBenchmark.p',l22_l26) ).
fof(l22_co,conjecture,
! [U,V,W] :
( ~ check_cpq(triple(U,V,W))
=> ! [X] :
( ~ ok(insert_cpq(triple(U,V,W),X))
| ~ check_cpq(insert_cpq(triple(U,V,W),X)) ) ),
file('theBenchmark.p',l22_co) ).
fof(l22_co_neg,negated_conjecture,
~ ! [U,V,W] :
( ~ check_cpq(triple(U,V,W))
=> ! [X] :
( ~ ok(insert_cpq(triple(U,V,W),X))
| ~ check_cpq(insert_cpq(triple(U,V,W),X)) ) ),
inference(assume_negation,[status(cth)],[l22_co]) ).
cnf(c_98,plain,
( ~ check_cpq(insert_cpq(triple(A,B,C),D))
| check_cpq(triple(A,B,C)) ),
inference(clausify,[status(thm)],[l22_l26]) ).
fof(nnf_42,plain,
? [U,V,W] :
( ? [X] :
( ok(insert_cpq(triple(U,V,W),X))
& check_cpq(insert_cpq(triple(U,V,W),X)) )
& ~ check_cpq(triple(U,V,W)) ),
inference(fof_nnf,[status(thm)],[l22_co_neg]) ).
fof(sk_l22_co_neg,plain,
( ok(insert_cpq(triple(sK0,sK1,sK2),sK3))
& check_cpq(insert_cpq(triple(sK0,sK1,sK2),sK3))
& ~ check_cpq(triple(sK0,sK1,sK2)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3]),skolemize(U,sK0),skolemize(V,sK1),skolemize(W,sK2),skolemize(X,sK3)],[nnf_42]) ).
cnf(c_99,negated_conjecture,
~ check_cpq(triple(sK0,sK1,sK2)),
inference(split_conjunct,[status(thm)],[sk_l22_co_neg]) ).
cnf(c_100,negated_conjecture,
check_cpq(insert_cpq(triple(sK0,sK1,sK2),sK3)),
inference(split_conjunct,[status(thm)],[sk_l22_co_neg]) ).
cnf(c_171,negated_conjecture,
~ check_cpq(insert_cpq(triple(sK0,sK1,sK2),A)),
inference(resolve,[status(thm)],[c_98,c_99]) ).
cnf(c_172,plain,
$false,
inference(resolve,[status(thm)],[c_171,c_100]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV386+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n014.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 13:40:16 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.10/0.37 % Process 3289338 was started by sandbox on n014,
% 0.10/0.37 % Sat Sep 26 13:40:16 2026
% 0.10/0.37 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.10/0.38
% 0.10/0.38 % From the command line: assign(max_seconds, 300).
% 0.10/0.41
% 0.10/0.41 % SZS status Theorem for theBenchmark
% 0.10/0.41
% 0.10/0.41 % Proof 1 at 0.01 (+ 0.01) seconds.
% 0.10/0.41 % Length of proof is 7.
% 0.10/0.41 % Level of proof is 3.
% 0.10/0.41 % Maximum clause weight is 12.000.
% 0.10/0.41 % Given clauses 51.
% 0.10/0.41
% 0.10/0.41 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------