%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SWV388+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 : n004.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 09:07:37 AM UTC 2026
% Result : Theorem 0.13s 0.40s
% Output : CNFRefutation 0.13s
% 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 : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-1 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-3 aty)
% Number of variables : 15 ( 0 sgn 9 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(l24_l34,axiom,
! [U,V,W] :
( ~ check_cpq(triple(U,V,W))
=> ~ check_cpq(findmin_cpq_eff(triple(U,V,W))) ),
file('theBenchmark.p',l24_l34) ).
fof(l24_co,conjecture,
! [U,V,W] :
( ~ check_cpq(triple(U,V,W))
=> ( ~ ok(findmin_cpq_eff(triple(U,V,W)))
| ~ check_cpq(findmin_cpq_eff(triple(U,V,W))) ) ),
file('theBenchmark.p',l24_co) ).
fof(l24_co_neg,negated_conjecture,
~ ! [U,V,W] :
( ~ check_cpq(triple(U,V,W))
=> ( ~ ok(findmin_cpq_eff(triple(U,V,W)))
| ~ check_cpq(findmin_cpq_eff(triple(U,V,W))) ) ),
inference(assume_negation,[status(cth)],[l24_co]) ).
cnf(c_93,plain,
( ~ check_cpq(findmin_cpq_eff(triple(A,B,C)))
| check_cpq(triple(A,B,C)) ),
inference(clausify,[status(thm)],[l24_l34]) ).
fof(nnf_42,plain,
? [U,V,W] :
( ok(findmin_cpq_eff(triple(U,V,W)))
& check_cpq(findmin_cpq_eff(triple(U,V,W)))
& ~ check_cpq(triple(U,V,W)) ),
inference(fof_nnf,[status(thm)],[l24_co_neg]) ).
fof(sk_l24_co_neg,plain,
( ok(findmin_cpq_eff(triple(sK0,sK1,sK2)))
& check_cpq(findmin_cpq_eff(triple(sK0,sK1,sK2)))
& ~ check_cpq(triple(sK0,sK1,sK2)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(U,sK0),skolemize(V,sK1),skolemize(W,sK2)],[nnf_42]) ).
cnf(c_94,negated_conjecture,
~ check_cpq(triple(sK0,sK1,sK2)),
inference(split_conjunct,[status(thm)],[sk_l24_co_neg]) ).
cnf(c_95,negated_conjecture,
check_cpq(findmin_cpq_eff(triple(sK0,sK1,sK2))),
inference(split_conjunct,[status(thm)],[sk_l24_co_neg]) ).
cnf(c_166,negated_conjecture,
~ check_cpq(findmin_cpq_eff(triple(sK0,sK1,sK2))),
inference(resolve,[status(thm)],[c_93,c_94]) ).
cnf(c_165,negated_conjecture,
$false,
inference(resolve,[status(thm)],[c_95,c_166]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV388+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n004.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sat Sep 26 13:40:21 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.09/0.36 % Process 1852187 was started by sandbox2 on n004,
% 0.09/0.36 % Sat Sep 26 13:40:21 2026
% 0.09/0.36 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.13/0.37
% 0.13/0.37 % From the command line: assign(max_seconds, 300).
% 0.13/0.40
% 0.13/0.40 % SZS status Theorem for theBenchmark
% 0.13/0.40
% 0.13/0.40 % Proof 1 at 0.01 (+ 0.01) seconds.
% 0.13/0.40 % Length of proof is 6.
% 0.13/0.40 % Level of proof is 2.
% 0.13/0.40 % Maximum clause weight is 11.000.
% 0.13/0.40 % Given clauses 51.
% 0.13/0.40
% 0.13/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------