TSTP Solution File: SET658+3 by Leo-III-SAT---1.7.12
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%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.12
% Problem : SET658+3 : TPTP v8.2.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n017.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 21 03:06:42 EDT 2024
% Result : Theorem 23.00s 4.93s
% Output : Refutation 23.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 12
% Syntax : Number of formulae : 32 ( 9 unt; 8 typ; 0 def)
% Number of atoms : 53 ( 2 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 188 ( 17 ~; 14 |; 0 &; 146 @)
% ( 0 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 8 ( 8 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 26 ( 0 ^ 26 !; 0 ?; 26 :)
% Comments :
%------------------------------------------------------------------------------
thf(ilf_type_type,type,
ilf_type: $i > $i > $o ).
thf(binary_relation_type_type,type,
binary_relation_type: $i ).
thf(relation_type_type,type,
relation_type: $i > $i > $i ).
thf(domain_of_type,type,
domain_of: $i > $i ).
thf(range_of_type,type,
range_of: $i > $i ).
thf(set_type_type,type,
set_type: $i ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(sk1_type,type,
sk1: $i ).
thf(25,axiom,
! [A: $i] :
( ( ilf_type @ A @ set_type )
=> ( subset @ A @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p15) ).
thf(90,plain,
! [A: $i] :
( ( ilf_type @ A @ set_type )
=> ( subset @ A @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(91,plain,
! [A: $i] :
( ~ ( ilf_type @ A @ set_type )
| ( subset @ A @ A ) ),
inference(cnf,[status(esa)],[90]) ).
thf(20,axiom,
! [A: $i] : ( ilf_type @ A @ set_type ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p28) ).
thf(75,plain,
! [A: $i] : ( ilf_type @ A @ set_type ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(76,plain,
! [A: $i] : ( ilf_type @ A @ set_type ),
inference(cnf,[status(esa)],[75]) ).
thf(158,plain,
! [A: $i] :
( ~ $true
| ( subset @ A @ A ) ),
inference(rewrite,[status(thm)],[91,76]) ).
thf(159,plain,
! [A: $i] : ( subset @ A @ A ),
inference(simp,[status(thm)],[158]) ).
thf(1,conjecture,
! [A: $i] :
( ( ilf_type @ A @ binary_relation_type )
=> ( ilf_type @ A @ ( relation_type @ ( domain_of @ A ) @ ( range_of @ A ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_relset_1_20) ).
thf(2,negated_conjecture,
~ ! [A: $i] :
( ( ilf_type @ A @ binary_relation_type )
=> ( ilf_type @ A @ ( relation_type @ ( domain_of @ A ) @ ( range_of @ A ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(31,plain,
~ ! [A: $i] :
( ( ilf_type @ A @ binary_relation_type )
=> ( ilf_type @ A @ ( relation_type @ ( domain_of @ A ) @ ( range_of @ A ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(33,plain,
ilf_type @ sk1 @ binary_relation_type,
inference(cnf,[status(esa)],[31]) ).
thf(13,axiom,
! [A: $i] :
( ( ilf_type @ A @ set_type )
=> ! [B: $i] :
( ( ilf_type @ B @ binary_relation_type )
=> ( ( subset @ ( domain_of @ B ) @ A )
=> ( ilf_type @ B @ ( relation_type @ A @ ( range_of @ B ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p1) ).
thf(58,plain,
! [A: $i] :
( ( ilf_type @ A @ set_type )
=> ! [B: $i] :
( ( ilf_type @ B @ binary_relation_type )
=> ( ( subset @ ( domain_of @ B ) @ A )
=> ( ilf_type @ B @ ( relation_type @ A @ ( range_of @ B ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(59,plain,
! [B: $i,A: $i] :
( ~ ( ilf_type @ A @ set_type )
| ~ ( ilf_type @ B @ binary_relation_type )
| ~ ( subset @ ( domain_of @ B ) @ A )
| ( ilf_type @ B @ ( relation_type @ A @ ( range_of @ B ) ) ) ),
inference(cnf,[status(esa)],[58]) ).
thf(1257,plain,
! [B: $i,A: $i] :
( ~ $true
| ~ ( ilf_type @ B @ binary_relation_type )
| ~ ( subset @ ( domain_of @ B ) @ A )
| ( ilf_type @ B @ ( relation_type @ A @ ( range_of @ B ) ) ) ),
inference(rewrite,[status(thm)],[59,76]) ).
thf(1258,plain,
! [B: $i,A: $i] :
( ~ ( ilf_type @ B @ binary_relation_type )
| ~ ( subset @ ( domain_of @ B ) @ A )
| ( ilf_type @ B @ ( relation_type @ A @ ( range_of @ B ) ) ) ),
inference(simp,[status(thm)],[1257]) ).
thf(1273,plain,
! [B: $i,A: $i] :
( ~ ( subset @ ( domain_of @ B ) @ A )
| ( ilf_type @ B @ ( relation_type @ A @ ( range_of @ B ) ) )
| ( ( ilf_type @ sk1 @ binary_relation_type )
!= ( ilf_type @ B @ binary_relation_type ) ) ),
inference(paramod_ordered,[status(thm)],[33,1258]) ).
thf(1274,plain,
! [A: $i] :
( ~ ( subset @ ( domain_of @ sk1 ) @ A )
| ( ilf_type @ sk1 @ ( relation_type @ A @ ( range_of @ sk1 ) ) ) ),
inference(pattern_uni,[status(thm)],[1273:[bind(A,$thf( A )),bind(B,$thf( sk1 ))]]) ).
thf(1406,plain,
! [B: $i,A: $i] :
( ( ilf_type @ sk1 @ ( relation_type @ B @ ( range_of @ sk1 ) ) )
| ( ( subset @ A @ A )
!= ( subset @ ( domain_of @ sk1 ) @ B ) ) ),
inference(paramod_ordered,[status(thm)],[159,1274]) ).
thf(1407,plain,
ilf_type @ sk1 @ ( relation_type @ ( domain_of @ sk1 ) @ ( range_of @ sk1 ) ),
inference(pattern_uni,[status(thm)],[1406:[bind(A,$thf( domain_of @ sk1 )),bind(B,$thf( domain_of @ sk1 ))]]) ).
thf(32,plain,
~ ( ilf_type @ sk1 @ ( relation_type @ ( domain_of @ sk1 ) @ ( range_of @ sk1 ) ) ),
inference(cnf,[status(esa)],[31]) ).
thf(1410,plain,
$false,
inference(rewrite,[status(thm)],[1407,32]) ).
thf(1411,plain,
$false,
inference(simp,[status(thm)],[1410]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET658+3 : TPTP v8.2.0. Released v2.2.0.
% 0.14/0.16 % Command : run_Leo-III %s %d
% 0.16/0.37 % Computer : n017.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % 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 20 11:22:54 EDT 2024
% 0.16/0.37 % CPUTime :
% 1.07/0.95 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.47/1.09 % [INFO] Parsing done (131ms).
% 1.47/1.10 % [INFO] Running in sequential loop mode.
% 2.04/1.37 % [INFO] nitpick registered as external prover.
% 2.04/1.37 % [INFO] Scanning for conjecture ...
% 2.23/1.44 % [INFO] Found a conjecture (or negated_conjecture) and 28 axioms. Running axiom selection ...
% 2.31/1.50 % [INFO] Axiom selection finished. Selected 28 axioms (removed 0 axioms).
% 2.59/1.57 % [INFO] Problem is first-order (TPTP FOF).
% 2.59/1.58 % [INFO] Type checking passed.
% 2.59/1.58 % [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 ...
% 23.00/4.93 % [INFO] Killing All external provers ...
% 23.00/4.93 % Time passed: 4387ms (effective reasoning time: 3829ms)
% 23.00/4.93 % 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)>
% 23.00/4.93 % Axioms used in derivation (3): p15, p28, p1
% 23.00/4.93 % No. of inferences in proof: 24
% 23.00/4.93 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 4387 ms resp. 3829 ms w/o parsing
% 23.09/4.97 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 23.09/4.97 % [INFO] Killing All external provers ...
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