TSTP Solution File: DAT140^1 by Leo-III-SAT---1.7.10
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%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.10
% Problem : DAT140^1 : TPTP v8.1.2. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n013.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 10:30:10 EDT 2024
% Result : Theorem 9.29s 3.14s
% Output : Refutation 9.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of formulae : 14 ( 10 unt; 4 typ; 0 def)
% Number of atoms : 38 ( 9 equ; 0 cnn)
% Maximal formula atoms : 1 ( 3 avg)
% Number of connectives : 34 ( 4 ~; 0 |; 0 &; 30 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 2 ( 2 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 4 ( 4 >; 0 *; 0 +; 0 <<)
% Number of symbols : 5 ( 3 usr; 2 con; 0-3 aty)
% Number of variables : 6 ( 0 ^ 4 !; 0 ?; 6 :)
% ( 2 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(nat_type,type,
nat: $tType ).
thf(a_type,type,
a: $tType ).
thf(coinductive_lprefix_type,type,
coinductive_lprefix:
!>[TA: $tType] : ( ( coinductive_llist @ TA ) > ( coinductive_llist @ TA ) > $o ) ).
thf(ord_less_eq_type,type,
ord_less_eq:
!>[TA: $tType] : ( TA > TA > $o ) ).
thf(160,axiom,
! [TA: $tType] :
( ( ord_less_eq @ ( coinductive_llist @ TA ) )
= ( coinductive_lprefix @ TA ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_less__eq__llist__def) ).
thf(769,plain,
! [TA: $tType] :
( ( ord_less_eq @ ( coinductive_llist @ TA ) )
= ( coinductive_lprefix @ TA ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[160]) ).
thf(770,plain,
! [TA: $tType] :
( ( ord_less_eq @ ( coinductive_llist @ TA ) )
= ( coinductive_lprefix @ TA ) ),
inference(cnf,[status(esa)],[769]) ).
thf(771,plain,
! [TA: $tType] :
( ( ord_less_eq @ ( coinductive_llist @ TA ) )
= ( coinductive_lprefix @ TA ) ),
inference(lifteq,[status(thm)],[770]) ).
thf(1,conjecture,
( ( ord_less_eq @ ( coinductive_llist @ a ) )
= ( coinductive_lprefix @ a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
thf(2,negated_conjecture,
( ( ord_less_eq @ ( coinductive_llist @ a ) )
!= ( coinductive_lprefix @ a ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(275,plain,
( ( ord_less_eq @ ( coinductive_llist @ a ) )
!= ( coinductive_lprefix @ a ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(276,plain,
( ( ord_less_eq @ ( coinductive_llist @ a ) )
!= ( coinductive_lprefix @ a ) ),
inference(lifteq,[status(thm)],[275]) ).
thf(1163,plain,
( ( ord_less_eq @ ( coinductive_llist @ a ) )
!= ( ord_less_eq @ ( coinductive_llist @ a ) ) ),
inference(paramod_ordered,[status(thm)],[771,276]) ).
thf(1164,plain,
$false,
inference(pattern_uni,[status(thm)],[1163:[]]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : DAT140^1 : TPTP v8.1.2. Released v7.0.0.
% 0.07/0.15 % Command : run_Leo-III %s %d
% 0.16/0.36 % Computer : n013.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Mon May 6 18:45:39 EDT 2024
% 0.16/0.37 % CPUTime :
% 0.97/0.88 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.61/1.15 % [INFO] Parsing done (262ms).
% 1.61/1.15 % [INFO] Running in sequential loop mode.
% 2.58/1.36 % [INFO] nitpick registered as external prover.
% 2.58/1.37 % [INFO] Scanning for conjecture ...
% 2.87/1.45 % [INFO] Found a conjecture and 273 axioms. Running axiom selection ...
% 3.04/1.53 % [INFO] Axiom selection finished. Selected 272 axioms (removed 1 axioms).
% 3.60/1.72 % [INFO] Problem is higher-order (TPTP THF).
% 3.60/1.73 % [INFO] Type checking passed.
% 3.60/1.74 % [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 ...
% 9.29/3.14 % [INFO] Killing All external provers ...
% 9.29/3.14 % Time passed: 2608ms (effective reasoning time: 1984ms)
% 9.29/3.14 % 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)>
% 9.29/3.14 % Axioms used in derivation (1): fact_0_less__eq__llist__def
% 9.29/3.14 % No. of inferences in proof: 10
% 9.29/3.14 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 2608 ms resp. 1984 ms w/o parsing
% 9.29/3.16 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 9.29/3.16 % [INFO] Killing All external provers ...
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