TSTP Solution File: ITP029^1 by Leo-III-SAT---1.7.12
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%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.12
% Problem : ITP029^1 : TPTP v8.2.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n010.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 May 20 22:27:41 EDT 2024
% Result : ContradictoryAxioms 6.93s 2.72s
% Output : Refutation 6.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 14
% Syntax : Number of formulae : 24 ( 9 unt; 11 typ; 0 def)
% Number of atoms : 19 ( 8 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 46 ( 8 ~; 2 |; 0 &; 34 @)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Number of types : 8 ( 7 usr)
% Number of type conns : 3 ( 3 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 10 ( 0 ^ 10 !; 0 ?; 10 :)
% Comments :
%------------------------------------------------------------------------------
thf(binary594033953_set_a_type,type,
binary594033953_set_a: $tType ).
thf(binary1439146945Tree_a_type,type,
binary1439146945Tree_a: $tType ).
thf(set_set_set_a_type,type,
set_set_set_a: $tType ).
thf(set_set_a_type,type,
set_set_a: $tType ).
thf(set_a_type,type,
set_a: $tType ).
thf(int_type,type,
int: $tType ).
thf(a_type,type,
a: $tType ).
thf(ord_less_int_type,type,
ord_less_int: int > int > $o ).
thf(a2_type,type,
a2: a ).
thf(b_type,type,
b: a ).
thf(h_type,type,
h: a > int ).
thf(92,axiom,
ord_less_int @ ( h @ b ) @ ( h @ a2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1__092_060open_062h_Ab_A_060_Ah_Aa_092_060close_062) ).
thf(410,plain,
ord_less_int @ ( h @ b ) @ ( h @ a2 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[92]) ).
thf(83,axiom,
( ( h @ a2 )
= ( h @ b ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_hahb) ).
thf(396,plain,
( ( h @ a2 )
= ( h @ b ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[83]) ).
thf(397,plain,
( ( h @ b )
= ( h @ a2 ) ),
inference(lifteq,[status(thm)],[396]) ).
thf(534,plain,
ord_less_int @ ( h @ a2 ) @ ( h @ a2 ),
inference(rewrite,[status(thm)],[410,397]) ).
thf(18,axiom,
! [A: int,B: int] :
( ( ord_less_int @ A @ B )
=> ( B != A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_44_dual__order_Ostrict__implies__not__eq) ).
thf(140,plain,
! [A: int,B: int] :
( ( ord_less_int @ A @ B )
=> ( B != A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(141,plain,
! [B: int,A: int] :
( ~ ( ord_less_int @ A @ B )
| ( B != A ) ),
inference(cnf,[status(esa)],[140]) ).
thf(142,plain,
! [B: int,A: int] :
( ( B != A )
| ~ ( ord_less_int @ A @ B ) ),
inference(lifteq,[status(thm)],[141]) ).
thf(143,plain,
! [A: int] :
~ ( ord_less_int @ A @ A ),
inference(simp,[status(thm)],[142]) ).
thf(537,plain,
! [A: int] :
( ( ord_less_int @ ( h @ a2 ) @ ( h @ a2 ) )
!= ( ord_less_int @ A @ A ) ),
inference(paramod_ordered,[status(thm)],[534,143]) ).
thf(538,plain,
$false,
inference(pattern_uni,[status(thm)],[537:[bind(A,$thf( h @ a2 ))]]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ITP029^1 : TPTP v8.2.0. Released v7.5.0.
% 0.15/0.15 % Command : run_Leo-III %s %d
% 0.16/0.36 % Computer : n010.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
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Sat May 18 15:24:09 EDT 2024
% 0.16/0.37 % CPUTime :
% 0.98/0.88 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.97/1.17 % [INFO] Parsing done (290ms).
% 1.97/1.18 % [INFO] Running in sequential loop mode.
% 2.47/1.42 % [INFO] nitpick registered as external prover.
% 2.47/1.42 % [INFO] Scanning for conjecture ...
% 2.76/1.51 % [INFO] Found a conjecture (or negated_conjecture) and 350 axioms. Running axiom selection ...
% 3.00/1.57 % [INFO] Axiom selection finished. Selected 91 axioms (removed 259 axioms).
% 3.30/1.67 % [INFO] Problem is higher-order (TPTP THF).
% 3.43/1.68 % [INFO] Type checking passed.
% 3.43/1.68 % [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 ...
% 6.93/2.72 % [INFO] Killing All external provers ...
% 6.93/2.72 % Time passed: 2197ms (effective reasoning time: 1533ms)
% 6.93/2.72 % Axioms used in derivation (3): fact_1__092_060open_062h_Ab_A_060_Ah_Aa_092_060close_062, fact_0_hahb, fact_44_dual__order_Ostrict__implies__not__eq
% 6.93/2.72 % No. of inferences in proof: 13
% 6.93/2.72 % SZS status ContradictoryAxioms for /export/starexec/sandbox2/benchmark/theBenchmark.p : 2197 ms resp. 1533 ms w/o parsing
% 6.93/2.74 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 6.93/2.74 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------