TSTP Solution File: CSR031+3 by Leo-III-SAT---1.7.10
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- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.10
% Problem : CSR031+3 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n015.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 10:28:31 EDT 2024
% Result : Theorem 5.03s 2.20s
% Output : Refutation 5.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 9
% Syntax : Number of formulae : 25 ( 10 unt; 5 typ; 0 def)
% Number of atoms : 34 ( 2 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 65 ( 15 ~; 4 |; 3 &; 40 @)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 4 ( 4 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 15 ( 0 ^ 13 !; 2 ?; 15 :)
% Comments :
%------------------------------------------------------------------------------
thf(disjointwith_type,type,
disjointwith: $i > $i > $o ).
thf(c_tptptptpcol_16_8398_type,type,
c_tptptptpcol_16_8398: $i ).
thf(c_tptpcol_16_18488_type,type,
c_tptpcol_16_18488: $i ).
thf(collection_type,type,
collection: $i > $o ).
thf(individual_type,type,
individual: $i > $o ).
thf(1,conjecture,
~ ( disjointwith @ c_tptptptpcol_16_8398 @ c_tptpcol_16_18488 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query131) ).
thf(2,negated_conjecture,
~ ~ ( disjointwith @ c_tptptptpcol_16_8398 @ c_tptpcol_16_18488 ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(15,plain,
~ ~ ( disjointwith @ c_tptptptpcol_16_8398 @ c_tptpcol_16_18488 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(16,plain,
disjointwith @ c_tptptptpcol_16_8398 @ c_tptpcol_16_18488,
inference(polarity_switch,[status(thm)],[15]) ).
thf(13,axiom,
! [A: $i,B: $i] :
( ( disjointwith @ A @ B )
=> ( collection @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2_7583) ).
thf(37,plain,
! [A: $i,B: $i] :
( ( disjointwith @ A @ B )
=> ( collection @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(38,plain,
! [A: $i] :
( ? [B: $i] : ( disjointwith @ A @ B )
=> ( collection @ A ) ),
inference(miniscope,[status(thm)],[37]) ).
thf(39,plain,
! [B: $i,A: $i] :
( ~ ( disjointwith @ A @ B )
| ( collection @ A ) ),
inference(cnf,[status(esa)],[38]) ).
thf(55,plain,
! [B: $i,A: $i] :
( ( collection @ A )
| ( ( disjointwith @ c_tptptptpcol_16_8398 @ c_tptpcol_16_18488 )
!= ( disjointwith @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[16,39]) ).
thf(56,plain,
collection @ c_tptptptpcol_16_8398,
inference(pattern_uni,[status(thm)],[55:[bind(A,$thf( c_tptptptpcol_16_8398 )),bind(B,$thf( c_tptpcol_16_18488 ))]]) ).
thf(8,axiom,
individual @ c_tptptptpcol_16_8398,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2_2816) ).
thf(29,plain,
individual @ c_tptptptpcol_16_8398,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(3,axiom,
! [A: $i] :
~ ( ( collection @ A )
& ( individual @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2_3089) ).
thf(17,plain,
! [A: $i] :
~ ( ( collection @ A )
& ( individual @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(18,plain,
~ ? [A: $i] :
( ( collection @ A )
& ( individual @ A ) ),
inference(miniscope,[status(thm)],[17]) ).
thf(19,plain,
! [A: $i] :
( ~ ( collection @ A )
| ~ ( individual @ A ) ),
inference(cnf,[status(esa)],[18]) ).
thf(43,plain,
! [A: $i] :
( ~ ( collection @ A )
| ( ( individual @ c_tptptptpcol_16_8398 )
!= ( individual @ A ) ) ),
inference(paramod_ordered,[status(thm)],[29,19]) ).
thf(44,plain,
~ ( collection @ c_tptptptpcol_16_8398 ),
inference(pattern_uni,[status(thm)],[43:[bind(A,$thf( c_tptptptpcol_16_8398 ))]]) ).
thf(61,plain,
$false,
inference(rewrite,[status(thm)],[56,44]) ).
thf(62,plain,
$false,
inference(simp,[status(thm)],[61]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : CSR031+3 : TPTP v8.1.2. Released v3.4.0.
% 0.09/0.13 % Command : run_Leo-III %s %d
% 0.13/0.33 % Computer : n015.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Mon May 6 23:15:54 EDT 2024
% 0.13/0.33 % CPUTime :
% 0.88/0.82 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 2.36/1.18 % [INFO] Parsing done (357ms).
% 2.36/1.19 % [INFO] Running in sequential loop mode.
% 2.81/1.38 % [INFO] nitpick registered as external prover.
% 2.81/1.39 % [INFO] Scanning for conjecture ...
% 3.41/1.58 % [INFO] Found a conjecture and 8005 axioms. Running axiom selection ...
% 3.67/1.64 % [INFO] Axiom selection finished. Selected 12 axioms (removed 7993 axioms).
% 3.67/1.66 % [INFO] Problem is first-order (TPTP FOF).
% 3.67/1.66 % [INFO] Type checking passed.
% 3.67/1.66 % [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 ...
% 5.03/2.20 % [INFO] Killing All external provers ...
% 5.03/2.20 % Time passed: 1694ms (effective reasoning time: 1000ms)
% 5.03/2.20 % 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)>
% 5.03/2.20 % Axioms used in derivation (3): ax2_7583, ax2_2816, ax2_3089
% 5.03/2.20 % No. of inferences in proof: 20
% 5.03/2.20 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1694 ms resp. 1000 ms w/o parsing
% 5.29/2.22 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 5.29/2.22 % [INFO] Killing All external provers ...
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