TSTP Solution File: LAT015-1 by Leo-III---1.7.7
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : LAT015-1 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n004.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 : Fri May 19 11:26:40 EDT 2023
% Result : Unsatisfiable 10.87s 3.18s
% Output : Refutation 10.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 7
% Syntax : Number of formulae : 10 ( 3 unt; 5 typ; 0 def)
% Number of atoms : 19 ( 18 equ; 0 cnn)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 254 ( 16 ~; 14 |; 0 &; 224 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 7 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 4 ( 4 >; 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 @ a @ a )
!= a )
| ( ( meet @ a @ b )
!= ( meet @ b @ a ) )
| ( ( meet @ ( meet @ a @ b ) @ c )
!= ( meet @ a @ ( meet @ b @ c ) ) )
| ( ( join @ a @ a )
!= a )
| ( ( join @ a @ b )
!= ( join @ b @ a ) )
| ( ( join @ ( join @ a @ b ) @ c )
!= ( join @ a @ ( join @ b @ c ) ) )
| ( ( meet @ a @ ( join @ a @ b ) )
!= a )
| ( ( join @ a @ ( meet @ a @ b ) )
!= a ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_normal_axioms) ).
thf(3,plain,
( ( ( meet @ a @ a )
!= a )
| ( ( meet @ a @ b )
!= ( meet @ b @ a ) )
| ( ( meet @ ( meet @ a @ b ) @ c )
!= ( meet @ a @ ( meet @ b @ c ) ) )
| ( ( join @ a @ a )
!= a )
| ( ( join @ a @ b )
!= ( join @ b @ a ) )
| ( ( join @ ( join @ a @ b ) @ c )
!= ( join @ a @ ( join @ b @ c ) ) )
| ( ( meet @ a @ ( join @ a @ b ) )
!= a )
| ( ( join @ a @ ( meet @ a @ b ) )
!= a ) ),
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/sandbox/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(64,plain,
$false,
inference(e,[status(thm)],[3,6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : LAT015-1 : TPTP v8.1.2. Released v2.2.0.
% 0.06/0.15 % Command : run_Leo-III %s %d
% 0.15/0.35 % Computer : n004.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Thu May 18 14:08:10 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.86/0.84 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.18/0.95 % [INFO] Parsing done (110ms).
% 1.18/0.96 % [INFO] Running in sequential loop mode.
% 1.48/1.15 % [INFO] eprover registered as external prover.
% 1.48/1.16 % [INFO] cvc4 registered as external prover.
% 1.48/1.16 % [INFO] Scanning for conjecture ...
% 1.74/1.22 % [INFO] Found a conjecture and 1 axioms. Running axiom selection ...
% 1.86/1.24 % [INFO] Axiom selection finished. Selected 1 axioms (removed 0 axioms).
% 1.86/1.25 % [INFO] Problem is propositional (TPTP CNF).
% 1.86/1.25 % [INFO] Type checking passed.
% 1.86/1.26 % [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 ...
% 10.87/3.17 % External prover 'e' found a proof!
% 10.87/3.17 % [INFO] Killing All external provers ...
% 10.87/3.17 % Time passed: 2657ms (effective reasoning time: 2209ms)
% 10.87/3.17 % Solved by 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)>
% 10.87/3.18 % Axioms used in derivation (1): single_axiom
% 10.87/3.18 % No. of inferences in proof: 5
% 10.87/3.18 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 2657 ms resp. 2209 ms w/o parsing
% 10.87/3.20 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 10.87/3.20 % [INFO] Killing All external provers ...
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