%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : LAT088-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n012.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 07:49:40 AM UTC 2026
% Result : Unsatisfiable 0.02s 0.31s
% Output : CNFRefutation 0.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 15 ( 15 unt; 0 def)
% Number of atoms : 15 ( 14 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 30 ( 7 sgn 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(wal_absorbtion_1,axiom,
! [VAR_0,VAR_1] : join(meet(VAR_0,VAR_1),meet(VAR_0,join(VAR_0,VAR_1))) = VAR_0,
file('theBenchmark.p',wal_absorbtion_1) ).
cnf(c_1,plain,
join(meet(A,B),meet(A,join(A,B))) = A,
inference(clausify,[status(thm)],[wal_absorbtion_1]) ).
fof(wal_absorbtion_4,axiom,
! [VAR_0,VAR_1,VAR_2] : meet(meet(join(VAR_0,VAR_1),join(VAR_2,VAR_0)),VAR_0) = VAR_0,
file('theBenchmark.p',wal_absorbtion_4) ).
cnf(c_4,plain,
meet(meet(join(A,B),join(C,A)),A) = A,
inference(clausify,[status(thm)],[wal_absorbtion_4]) ).
fof(wal_absorbtion_5,axiom,
! [VAR_0,VAR_1,VAR_2] : join(join(meet(VAR_0,VAR_1),meet(VAR_2,VAR_0)),VAR_0) = VAR_0,
file('theBenchmark.p',wal_absorbtion_5) ).
cnf(c_5,plain,
join(join(meet(A,B),meet(C,A)),A) = A,
inference(clausify,[status(thm)],[wal_absorbtion_5]) ).
fof(prove_normal_axioms_1,axiom,
meet(a,a) != a,
file('theBenchmark.p',prove_normal_axioms_1) ).
cnf(c_6,plain,
meet(a,a) != a,
inference(clausify,[status(thm)],[prove_normal_axioms_1]) ).
cnf(c_24,plain,
meet(meet(join(A,B),A),A) = A,
inference(paramod,[status(thm)],[c_5,c_4]) ).
cnf(c_40,plain,
meet(meet(A,meet(A,B)),meet(A,B)) = meet(A,B),
inference(paramod,[status(thm)],[c_1,c_24]) ).
cnf(c_57,plain,
meet(meet(meet(join(A,B),join(C,A)),A),meet(meet(join(A,B),join(C,A)),A)) = meet(meet(join(A,B),join(C,A)),A),
inference(paramod,[status(thm)],[c_4,c_40]) ).
cnf(c_58,plain,
meet(A,meet(meet(join(A,B),join(C,A)),A)) = meet(meet(join(A,B),join(C,A)),A),
inference(paramod,[status(thm)],[c_4,c_57]) ).
cnf(c_59,plain,
meet(A,A) = meet(meet(join(A,B),join(C,A)),A),
inference(paramod,[status(thm)],[c_4,c_58]) ).
cnf(c_55,plain,
meet(A,A) = A,
inference(paramod,[status(thm)],[c_4,c_59]) ).
cnf(c_56,plain,
$false,
inference(resolve,[status(thm)],[c_55,c_6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : LAT088-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.02 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.02/0.29 % Computer : n012.cluster.edu
% 0.02/0.29 % Model : x86_64 x86_64
% 0.02/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.02/0.29 % Memory : 8046.5625MB
% 0.02/0.29 % OS : Linux 6.8.0-71-generic
% 0.02/0.29 % CPULimit : 300
% 0.02/0.29 % WCLimit : 300
% 0.02/0.29 % DateTime : Fri Sep 25 20:03:20 UTC 2026
% 0.02/0.29 % CPUTime :
% 0.02/0.30 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.02/0.30 % Process 2866679 was started by sandbox on n012,
% 0.02/0.30 % Fri Sep 25 20:03:20 2026
% 0.02/0.30 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.02/0.30
% 0.02/0.30 % From the command line: assign(max_seconds, 300).
% 0.02/0.31
% 0.02/0.31 % SZS status Unsatisfiable for theBenchmark
% 0.02/0.31
% 0.02/0.31 % Proof 1 at 0.00 (+ 0.00) seconds.
% 0.02/0.31 % Length of proof is 8.
% 0.02/0.31 % Level of proof is 4.
% 0.02/0.31 % Maximum clause weight is 13.000.
% 0.02/0.31 % Given clauses 11.
% 0.02/0.31
% 0.02/0.31 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------