%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SWV387+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 09:07:36 AM UTC 2026
% Result : Theorem 0.12s 0.38s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 2
% Syntax : Number of formulae : 12 ( 5 unt; 0 def)
% Number of atoms : 25 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 27 ( 14 ~; 5 |; 5 &)
% ( 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 : 20 ( 0 sgn 12 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(l23_l027,axiom,
! [U,V,W,X] :
( ( ok(remove_cpq(triple(U,V,W),X))
& check_cpq(remove_cpq(triple(U,V,W),X)) )
=> check_cpq(triple(U,V,W)) ),
file('theBenchmark.p',l23_l027) ).
fof(l23_co,conjecture,
! [U,V,W] :
( ~ check_cpq(triple(U,V,W))
=> ! [X] :
( ~ ok(remove_cpq(triple(U,V,W),X))
| ~ check_cpq(remove_cpq(triple(U,V,W),X)) ) ),
file('theBenchmark.p',l23_co) ).
fof(l23_co_neg,negated_conjecture,
~ ! [U,V,W] :
( ~ check_cpq(triple(U,V,W))
=> ! [X] :
( ~ ok(remove_cpq(triple(U,V,W),X))
| ~ check_cpq(remove_cpq(triple(U,V,W),X)) ) ),
inference(assume_negation,[status(cth)],[l23_co]) ).
cnf(c_93,plain,
( check_cpq(triple(A,B,C))
| ~ ok(remove_cpq(triple(A,B,C),D))
| ~ check_cpq(remove_cpq(triple(A,B,C),D)) ),
inference(clausify,[status(thm)],[l23_l027]) ).
fof(nnf_42,plain,
? [U,V,W] :
( ? [X] :
( ok(remove_cpq(triple(U,V,W),X))
& check_cpq(remove_cpq(triple(U,V,W),X)) )
& ~ check_cpq(triple(U,V,W)) ),
inference(fof_nnf,[status(thm)],[l23_co_neg]) ).
fof(sk_l23_co_neg,plain,
( ok(remove_cpq(triple(sK0,sK1,sK2),sK3))
& check_cpq(remove_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_94,negated_conjecture,
~ check_cpq(triple(sK0,sK1,sK2)),
inference(split_conjunct,[status(thm)],[sk_l23_co_neg]) ).
cnf(c_95,negated_conjecture,
check_cpq(remove_cpq(triple(sK0,sK1,sK2),sK3)),
inference(split_conjunct,[status(thm)],[sk_l23_co_neg]) ).
cnf(c_96,negated_conjecture,
ok(remove_cpq(triple(sK0,sK1,sK2),sK3)),
inference(split_conjunct,[status(thm)],[sk_l23_co_neg]) ).
cnf(c_168,negated_conjecture,
( check_cpq(triple(sK0,sK1,sK2))
| ~ ok(remove_cpq(triple(sK0,sK1,sK2),sK3)) ),
inference(resolve,[status(thm)],[c_93,c_95]) ).
cnf(c_169,negated_conjecture,
~ ok(remove_cpq(triple(sK0,sK1,sK2),sK3)),
inference(resolve,[status(thm)],[c_168,c_94]) ).
cnf(c_167,negated_conjecture,
$false,
inference(resolve,[status(thm)],[c_96,c_169]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV387+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n026.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Sat Sep 26 13:43:10 UTC 2026
% 0.10/0.35 % CPUTime :
% 0.12/0.35 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.12/0.35 % Process 1132767 was started by sandbox2 on n026,
% 0.12/0.35 % Sat Sep 26 13:43:10 2026
% 0.12/0.35 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.12/0.37
% 0.12/0.37 % From the command line: assign(max_seconds, 300).
% 0.12/0.38
% 0.12/0.38 % SZS status Theorem for theBenchmark
% 0.12/0.38
% 0.12/0.38 % Proof 1 at 0.00 (+ 0.01) seconds.
% 0.12/0.38 % Length of proof is 7.
% 0.12/0.38 % Level of proof is 2.
% 0.12/0.38 % Maximum clause weight is 19.000.
% 0.12/0.38 % Given clauses 52.
% 0.12/0.38
% 0.12/0.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------