%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SWV383+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 : n001.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 0.17s 0.49s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 2
% Syntax : Number of formulae : 14 ( 6 unt; 0 def)
% Number of atoms : 36 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 44 ( 22 ~; 10 |; 6 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-3 aty)
% Number of variables : 30 ( 0 sgn 18 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(l19_l20,axiom,
! [U,V,W] :
( ( ~ ok(triple(U,V,W))
| ~ check_cpq(triple(U,V,W)) )
=> ! [X,Y,Z] :
( succ_cpq(triple(U,V,W),triple(X,Y,Z))
=> ( ~ check_cpq(triple(X,Y,Z))
| ~ ok(triple(X,Y,Z)) ) ) ),
file('theBenchmark.p',l19_l20) ).
fof(l19_co,conjecture,
! [U,V,W] :
( ~ check_cpq(triple(U,V,W))
=> ! [X,Y,Z] :
( succ_cpq(triple(U,V,W),triple(X,Y,Z))
=> ( ~ check_cpq(triple(X,Y,Z))
| ~ ok(triple(X,Y,Z)) ) ) ),
file('theBenchmark.p',l19_co) ).
fof(l19_co_neg,negated_conjecture,
~ ! [U,V,W] :
( ~ check_cpq(triple(U,V,W))
=> ! [X,Y,Z] :
( succ_cpq(triple(U,V,W),triple(X,Y,Z))
=> ( ~ check_cpq(triple(X,Y,Z))
| ~ ok(triple(X,Y,Z)) ) ) ),
inference(assume_negation,[status(cth)],[l19_co]) ).
cnf(c_98,plain,
( ~ check_cpq(triple(D,E,F))
| ~ ok(triple(D,E,F))
| ~ succ_cpq(triple(A,B,C),triple(D,E,F))
| check_cpq(triple(A,B,C)) ),
inference(clausify,[status(thm)],[l19_l20]) ).
fof(nnf_42,plain,
? [U,V,W] :
( ? [X,Y,Z] :
( check_cpq(triple(X,Y,Z))
& ok(triple(X,Y,Z))
& succ_cpq(triple(U,V,W),triple(X,Y,Z)) )
& ~ check_cpq(triple(U,V,W)) ),
inference(fof_nnf,[status(thm)],[l19_co_neg]) ).
fof(sk_l19_co_neg,plain,
( check_cpq(triple(sK3,sK4,sK5))
& ok(triple(sK3,sK4,sK5))
& succ_cpq(triple(sK0,sK1,sK2),triple(sK3,sK4,sK5))
& ~ check_cpq(triple(sK0,sK1,sK2)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5]),skolemize(U,sK0),skolemize(V,sK1),skolemize(W,sK2),skolemize(X,sK3),skolemize(Y,sK4),skolemize(Z,sK5)],[nnf_42]) ).
cnf(c_100,negated_conjecture,
~ check_cpq(triple(sK0,sK1,sK2)),
inference(split_conjunct,[status(thm)],[sk_l19_co_neg]) ).
cnf(c_101,negated_conjecture,
succ_cpq(triple(sK0,sK1,sK2),triple(sK3,sK4,sK5)),
inference(split_conjunct,[status(thm)],[sk_l19_co_neg]) ).
cnf(c_102,negated_conjecture,
ok(triple(sK3,sK4,sK5)),
inference(split_conjunct,[status(thm)],[sk_l19_co_neg]) ).
cnf(c_103,negated_conjecture,
check_cpq(triple(sK3,sK4,sK5)),
inference(split_conjunct,[status(thm)],[sk_l19_co_neg]) ).
cnf(c_179,negated_conjecture,
( ~ check_cpq(triple(sK3,sK4,sK5))
| ~ ok(triple(sK3,sK4,sK5))
| check_cpq(triple(sK0,sK1,sK2)) ),
inference(resolve,[status(thm)],[c_101,c_98]) ).
cnf(c_180,negated_conjecture,
( ~ check_cpq(triple(sK3,sK4,sK5))
| ~ ok(triple(sK3,sK4,sK5)) ),
inference(resolve,[status(thm)],[c_100,c_179]) ).
cnf(c_181,negated_conjecture,
~ check_cpq(triple(sK3,sK4,sK5)),
inference(resolve,[status(thm)],[c_102,c_180]) ).
cnf(c_178,negated_conjecture,
$false,
inference(resolve,[status(thm)],[c_103,c_181]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWV383+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.42 % Computer : n001.cluster.edu
% 0.17/0.42 % Model : x86_64 x86_64
% 0.17/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.42 % Memory : 8046.5625MB
% 0.17/0.42 % OS : Linux 6.8.0-71-generic
% 0.17/0.42 % CPULimit : 300
% 0.17/0.42 % WCLimit : 300
% 0.17/0.42 % DateTime : Sat Sep 26 13:46:12 UTC 2026
% 0.17/0.43 % CPUTime :
% 0.17/0.43 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.17/0.43 % Process 1934824 was started by sandbox2 on n001,
% 0.17/0.43 % Sat Sep 26 13:46:12 2026
% 0.17/0.43 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.17/0.45
% 0.17/0.45 % From the command line: assign(max_seconds, 300).
% 0.17/0.49
% 0.17/0.49 % SZS status Theorem for theBenchmark
% 0.17/0.49
% 0.17/0.49 % Proof 1 at 0.02 (+ 0.01) seconds.
% 0.17/0.49 % Length of proof is 8.
% 0.17/0.49 % Level of proof is 2.
% 0.17/0.49 % Maximum clause weight is 24.000.
% 0.17/0.49 % Given clauses 53.
% 0.17/0.49
% 0.17/0.49 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------