TSTP Solution File: LAT082-1 by Leo-III---1.7.15
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III---1.7.15
% Problem : LAT082-1 : TPTP v8.2.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d THM
% Computer : n028.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Jun 24 10:27:43 EDT 2024
% Result : Unsatisfiable 14.45s 5.09s
% Output : Refutation 14.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 2
% Syntax : Number of formulae : 5 ( 5 unt; 0 typ; 0 def)
% Number of atoms : 5 ( 4 equ; 0 cnn)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 170 ( 2 ~; 0 |; 0 &; 168 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 14 ( 0 ^ 14 !; 0 ?; 14 :)
% Comments :
%------------------------------------------------------------------------------
thf(meet_type,type,
meet: $i > $i > $i ).
thf(a_type,type,
a: $i ).
thf(b_type,type,
b: $i ).
thf(c_type,type,
c: $i ).
thf(join_type,type,
join: $i > $i > $i ).
thf(1,negated_conjecture,
( ( meet @ ( meet @ a @ b ) @ c )
!= ( meet @ a @ ( meet @ b @ c ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_normal_axioms_3) ).
thf(3,plain,
( ( meet @ ( meet @ a @ b ) @ c )
!= ( meet @ a @ ( meet @ b @ c ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(2,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( join @ ( meet @ ( join @ ( meet @ A @ B ) @ ( meet @ B @ ( join @ A @ B ) ) ) @ C ) @ ( meet @ ( join @ ( meet @ A @ ( join @ ( join @ ( meet @ D @ B ) @ ( meet @ B @ E ) ) @ B ) ) @ ( meet @ ( join @ ( meet @ B @ ( meet @ ( meet @ ( join @ D @ ( join @ B @ E ) ) @ ( join @ F @ B ) ) @ B ) ) @ ( meet @ G @ ( join @ B @ ( meet @ ( meet @ ( join @ D @ ( join @ B @ E ) ) @ ( join @ F @ B ) ) @ B ) ) ) ) @ ( join @ A @ ( join @ ( join @ ( meet @ D @ B ) @ ( meet @ B @ E ) ) @ B ) ) ) ) @ ( join @ ( join @ ( meet @ A @ B ) @ ( meet @ B @ ( join @ A @ B ) ) ) @ C ) ) )
= B ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
thf(6,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( join @ ( meet @ ( join @ ( meet @ A @ B ) @ ( meet @ B @ ( join @ A @ B ) ) ) @ C ) @ ( meet @ ( join @ ( meet @ A @ ( join @ ( join @ ( meet @ D @ B ) @ ( meet @ B @ E ) ) @ B ) ) @ ( meet @ ( join @ ( meet @ B @ ( meet @ ( meet @ ( join @ D @ ( join @ B @ E ) ) @ ( join @ F @ B ) ) @ B ) ) @ ( meet @ G @ ( join @ B @ ( meet @ ( meet @ ( join @ D @ ( join @ B @ E ) ) @ ( join @ F @ B ) ) @ B ) ) ) ) @ ( join @ A @ ( join @ ( join @ ( meet @ D @ B ) @ ( meet @ B @ E ) ) @ B ) ) ) ) @ ( join @ ( join @ ( meet @ A @ B ) @ ( meet @ B @ ( join @ A @ B ) ) ) @ C ) ) )
= B ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(65,plain,
$false,
inference(e,[status(thm)],[3,6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : LAT082-1 : TPTP v8.2.0. Released v2.6.0.
% 0.00/0.10 % Command : run_Leo-III %s %d THM
% 0.09/0.30 % Computer : n028.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Fri Jun 21 22:16:55 EDT 2024
% 0.09/0.30 % CPUTime :
% 0.98/0.99 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.24/1.15 % [INFO] Parsing done (160ms).
% 1.24/1.16 % [INFO] Running in sequential loop mode.
% 1.90/1.54 % [INFO] eprover registered as external prover.
% 1.90/1.54 % [INFO] Scanning for conjecture ...
% 1.90/1.62 % [INFO] Found a conjecture (or negated_conjecture) and 1 axioms. Running axiom selection ...
% 2.09/1.65 % [INFO] Axiom selection finished. Selected 1 axioms (removed 0 axioms).
% 2.09/1.68 % [INFO] Problem is propositional (TPTP CNF).
% 2.09/1.68 % [INFO] Type checking passed.
% 2.09/1.69 % [CONFIG] Using configuration: timeout(300) with strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>. Searching for refutation ...
% 14.45/5.09 % External prover 'e' found a proof!
% 14.45/5.09 % [INFO] Killing All external provers ...
% 14.45/5.09 % Time passed: 4606ms (effective reasoning time: 3922ms)
% 14.45/5.09 % Axioms used in derivation (1): single_axiom
% 14.45/5.09 % No. of inferences in proof: 5
% 14.45/5.09 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 4606 ms resp. 3922 ms w/o parsing
% 14.72/5.12 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 14.72/5.12 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------