TSTP Solution File: COM195^1 by Leo-III-SAT---1.7.10
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.10
% Problem : COM195^1 : TPTP v8.1.2. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n012.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 : Tue May 7 10:28:23 EDT 2024
% Result : Theorem 5.23s 2.15s
% Output : Refutation 5.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of formulae : 12 ( 6 unt; 4 typ; 0 def)
% Number of atoms : 10 ( 0 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 36 ( 2 ~; 0 |; 2 &; 32 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 4 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 2 ( 2 >; 0 *; 0 +; 0 <<)
% Number of symbols : 5 ( 4 usr; 4 con; 0-3 aty)
% Number of variables : 1 ( 0 ^ 0 !; 0 ?; 1 :)
% ( 1 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(a_type,type,
a: $tType ).
thf(gram_L608943123e_subs_type,type,
gram_L608943123e_subs:
!>[TA: $tType] : ( ( set @ ( set @ TA ) ) > ( set @ ( set @ TA ) ) > $o ) ).
thf(l1_type,type,
l1: set @ ( set @ a ) ).
thf(l2_type,type,
l2: set @ ( set @ a ) ).
thf(57,axiom,
( ( gram_L608943123e_subs @ a @ l1 @ l2 )
& ( gram_L608943123e_subs @ a @ l2 @ l1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
thf(202,plain,
( ( gram_L608943123e_subs @ a @ l1 @ l2 )
& ( gram_L608943123e_subs @ a @ l2 @ l1 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[57]) ).
thf(204,plain,
gram_L608943123e_subs @ a @ l1 @ l2,
inference(cnf,[status(esa)],[202]) ).
thf(1,conjecture,
gram_L608943123e_subs @ a @ l1 @ l2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1) ).
thf(2,negated_conjecture,
~ ( gram_L608943123e_subs @ a @ l1 @ l2 ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(58,plain,
~ ( gram_L608943123e_subs @ a @ l1 @ l2 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(208,plain,
$false,
inference(rewrite,[status(thm)],[204,58]) ).
thf(209,plain,
$false,
inference(simp,[status(thm)],[208]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : COM195^1 : TPTP v8.1.2. Released v7.0.0.
% 0.06/0.15 % Command : run_Leo-III %s %d
% 0.15/0.36 % Computer : n012.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Tue May 7 00:53:09 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.95/0.84 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.86/1.11 % [INFO] Parsing done (267ms).
% 1.86/1.12 % [INFO] Running in sequential loop mode.
% 2.58/1.33 % [INFO] nitpick registered as external prover.
% 2.58/1.33 % [INFO] Scanning for conjecture ...
% 2.74/1.42 % [INFO] Found a conjecture and 276 axioms. Running axiom selection ...
% 3.04/1.50 % [INFO] Axiom selection finished. Selected 55 axioms (removed 221 axioms).
% 3.37/1.58 % [INFO] Problem is higher-order (TPTP THF).
% 3.37/1.59 % [INFO] Type checking passed.
% 3.37/1.59 % [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 ...
% 5.10/2.14 % [INFO] Killing All external provers ...
% 5.23/2.14 % Time passed: 1623ms (effective reasoning time: 1016ms)
% 5.23/2.14 % 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)>
% 5.23/2.15 % Axioms used in derivation (1): conj_0
% 5.23/2.15 % No. of inferences in proof: 8
% 5.23/2.15 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1623 ms resp. 1016 ms w/o parsing
% 5.27/2.17 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 5.27/2.17 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------