TSTP Solution File: CSR055+3 by Leo-III-SAT---1.7.10
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.10
% Problem : CSR055+3 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n025.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 10:28:45 EDT 2024
% Result : Theorem 5.29s 2.14s
% 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_xskijump_thegame_type,type,
c_xskijump_thegame: $i ).
thf(c_tptpcol_16_35301_type,type,
c_tptpcol_16_35301: $i ).
thf(collection_type,type,
collection: $i > $o ).
thf(individual_type,type,
individual: $i > $o ).
thf(1,conjecture,
~ ( disjointwith @ c_xskijump_thegame @ c_tptpcol_16_35301 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query155) ).
thf(2,negated_conjecture,
~ ~ ( disjointwith @ c_xskijump_thegame @ c_tptpcol_16_35301 ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(15,plain,
~ ~ ( disjointwith @ c_xskijump_thegame @ c_tptpcol_16_35301 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(16,plain,
disjointwith @ c_xskijump_thegame @ c_tptpcol_16_35301,
inference(polarity_switch,[status(thm)],[15]) ).
thf(13,axiom,
! [A: $i,B: $i] :
( ( disjointwith @ A @ B )
=> ( collection @ A ) ),
file('/export/starexec/sandbox/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: $i] :
( ( collection @ A )
| ( ( disjointwith @ c_xskijump_thegame @ c_tptpcol_16_35301 )
!= ( disjointwith @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[16,39]) ).
thf(56,plain,
collection @ c_xskijump_thegame,
inference(pattern_uni,[status(thm)],[55:[bind(A,$thf( c_xskijump_thegame )),bind(B,$thf( c_tptpcol_16_35301 ))]]) ).
thf(11,axiom,
individual @ c_xskijump_thegame,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2_185) ).
thf(35,plain,
individual @ c_xskijump_thegame,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(3,axiom,
! [A: $i] :
~ ( ( collection @ A )
& ( individual @ A ) ),
file('/export/starexec/sandbox/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: $i] :
( ~ ( collection @ A )
| ( ( individual @ c_xskijump_thegame )
!= ( individual @ A ) ) ),
inference(paramod_ordered,[status(thm)],[35,19]) ).
thf(44,plain,
~ ( collection @ c_xskijump_thegame ),
inference(pattern_uni,[status(thm)],[43:[bind(A,$thf( c_xskijump_thegame ))]]) ).
thf(61,plain,
$false,
inference(rewrite,[status(thm)],[56,44]) ).
thf(62,plain,
$false,
inference(simp,[status(thm)],[61]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : CSR055+3 : TPTP v8.1.2. Released v3.4.0.
% 0.11/0.15 % Command : run_Leo-III %s %d
% 0.16/0.36 % Computer : n025.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 : Mon May 6 23:28:39 EDT 2024
% 0.16/0.36 % CPUTime :
% 0.88/0.85 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 2.50/1.25 % [INFO] Parsing done (398ms).
% 2.50/1.26 % [INFO] Running in sequential loop mode.
% 2.86/1.46 % [INFO] nitpick registered as external prover.
% 2.86/1.46 % [INFO] Scanning for conjecture ...
% 3.60/1.65 % [INFO] Found a conjecture and 8005 axioms. Running axiom selection ...
% 3.95/1.72 % [INFO] Axiom selection finished. Selected 12 axioms (removed 7993 axioms).
% 3.95/1.73 % [INFO] Problem is first-order (TPTP FOF).
% 3.95/1.74 % [INFO] Type checking passed.
% 3.95/1.74 % [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 ...
% 5.29/2.14 % [INFO] Killing All external provers ...
% 5.29/2.14 % Time passed: 1614ms (effective reasoning time: 874ms)
% 5.29/2.14 % 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)>
% 5.29/2.14 % Axioms used in derivation (3): ax2_7583, ax2_185, ax2_3089
% 5.29/2.14 % No. of inferences in proof: 20
% 5.29/2.14 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1614 ms resp. 874 ms w/o parsing
% 5.29/2.16 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 5.29/2.16 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------