TSTP Solution File: KRS180+1 by Leo-III-SAT---1.7.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.12
% Problem : KRS180+1 : TPTP v8.2.0. Bugfixed v5.4.0.
% 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 : Mon May 20 23:19:28 EDT 2024
% Result : Timeout 290.30s 53.71s
% Output : None
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 14
% Syntax : Number of formulae : 60 ( 10 unt; 9 typ; 0 def)
% Number of atoms : 173 ( 7 equ; 0 cnn)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 609 ( 75 ~; 48 |; 21 &; 426 @)
% ( 4 <=>; 34 =>; 0 <=; 1 <~>)
% Maximal formula depth : 14 ( 9 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 15 ( 15 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 9 usr; 4 con; 0-3 aty)
% Number of variables : 175 ( 0 ^ 154 !; 21 ?; 175 :)
% Comments :
%------------------------------------------------------------------------------
thf(status_type,type,
status: $i > $i > $i > $o ).
thf(isa_type,type,
isa: $i > $i > $o ).
thf(nota_type,type,
nota: $i > $i > $o ).
thf(nevera_type,type,
nevera: $i > $i > $o ).
thf(xora_type,type,
xora: $i > $i > $o ).
thf(sk1_type,type,
sk1: $i ).
thf(sk2_type,type,
sk2: $i ).
thf(sk7_type,type,
sk7: $i > $i > $i ).
thf(sk8_type,type,
sk8: $i > $i > $i ).
thf(1,conjecture,
! [A: $i,B: $i] :
? [C: $i,D: $i] :
( ( status @ C @ D @ A )
=> ~ ( ( isa @ A @ B )
& ( ( nota @ A @ B )
| ( nevera @ A @ B )
| ( xora @ A @ B ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',isa_exclusive) ).
thf(2,negated_conjecture,
~ ! [A: $i,B: $i] :
? [C: $i,D: $i] :
( ( status @ C @ D @ A )
=> ~ ( ( isa @ A @ B )
& ( ( nota @ A @ B )
| ( nevera @ A @ B )
| ( xora @ A @ B ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(16,plain,
~ ! [A: $i,B: $i] :
? [C: $i,D: $i] :
( ( status @ C @ D @ A )
=> ~ ( ( isa @ A @ B )
& ( ( nota @ A @ B )
| ( nevera @ A @ B )
| ( xora @ A @ B ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(17,plain,
~ ! [A: $i] :
( ! [B: $i,C: $i] : ( status @ B @ C @ A )
=> ~ ? [B: $i] :
( ( isa @ A @ B )
& ( ( nota @ A @ B )
| ( nevera @ A @ B )
| ( xora @ A @ B ) ) ) ),
inference(miniscope,[status(thm)],[16]) ).
thf(19,plain,
isa @ sk1 @ sk2,
inference(cnf,[status(esa)],[17]) ).
thf(20,plain,
! [B: $i,A: $i] : ( status @ A @ B @ sk1 ),
inference(cnf,[status(esa)],[17]) ).
thf(4,axiom,
! [A: $i,B: $i] :
( ! [C: $i,D: $i] :
( ( status @ C @ D @ A )
=> ( status @ C @ D @ B ) )
<=> ( isa @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',isa) ).
thf(28,plain,
! [A: $i,B: $i] :
( ( ! [C: $i,D: $i] :
( ( status @ C @ D @ A )
=> ( status @ C @ D @ B ) )
=> ( isa @ A @ B ) )
& ( ( isa @ A @ B )
=> ! [C: $i,D: $i] :
( ( status @ C @ D @ A )
=> ( status @ C @ D @ B ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(29,plain,
( ! [A: $i,B: $i] :
( ! [C: $i,D: $i] :
( ( status @ C @ D @ A )
=> ( status @ C @ D @ B ) )
=> ( isa @ A @ B ) )
& ! [A: $i,B: $i] :
( ( isa @ A @ B )
=> ! [C: $i,D: $i] :
( ( status @ C @ D @ A )
=> ( status @ C @ D @ B ) ) ) ),
inference(miniscope,[status(thm)],[28]) ).
thf(30,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( isa @ A @ B )
| ~ ( status @ C @ D @ A )
| ( status @ C @ D @ B ) ),
inference(cnf,[status(esa)],[29]) ).
thf(33,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( isa @ A @ B )
| ~ ( status @ C @ D @ A )
| ( status @ C @ D @ B ) ),
inference(simp,[status(thm)],[30]) ).
thf(317,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( isa @ C @ D )
| ( status @ E @ F @ D )
| ( ( status @ A @ B @ sk1 )
!= ( status @ E @ F @ C ) ) ),
inference(paramod_ordered,[status(thm)],[20,33]) ).
thf(318,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( isa @ sk1 @ C )
| ( status @ A @ B @ C ) ),
inference(pattern_uni,[status(thm)],[317:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( sk1 )),bind(D,$thf( D )),bind(E,$thf( A )),bind(F,$thf( B ))]]) ).
thf(347,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( isa @ sk1 @ C )
| ( status @ A @ B @ C ) ),
inference(simp,[status(thm)],[318]) ).
thf(1826,plain,
! [C: $i,B: $i,A: $i] :
( ( status @ A @ B @ C )
| ( ( isa @ sk1 @ sk2 )
!= ( isa @ sk1 @ C ) ) ),
inference(paramod_ordered,[status(thm)],[19,347]) ).
thf(1827,plain,
! [B: $i,A: $i] : ( status @ A @ B @ sk2 ),
inference(pattern_uni,[status(thm)],[1826:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( sk2 ))]]) ).
thf(7,axiom,
! [A: $i,B: $i] :
( ! [C: $i,D: $i] :
( ( status @ C @ D @ A )
<~> ( status @ C @ D @ B ) )
<=> ( xora @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',xora) ).
thf(47,plain,
! [A: $i,B: $i] :
( ( ! [C: $i,D: $i] :
~ ( ( ( status @ C @ D @ A )
=> ( status @ C @ D @ B ) )
& ( ( status @ C @ D @ A )
| ~ ( status @ C @ D @ B ) ) )
=> ( xora @ A @ B ) )
& ( ( xora @ A @ B )
=> ! [C: $i,D: $i] :
~ ( ( ( status @ C @ D @ A )
=> ( status @ C @ D @ B ) )
& ( ( status @ C @ D @ A )
| ~ ( status @ C @ D @ B ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(48,plain,
( ! [A: $i,B: $i] :
( ~ ? [C: $i,D: $i] :
( ( ( status @ C @ D @ A )
=> ( status @ C @ D @ B ) )
& ( ( status @ C @ D @ A )
| ~ ( status @ C @ D @ B ) ) )
=> ( xora @ A @ B ) )
& ! [A: $i,B: $i] :
( ( xora @ A @ B )
=> ~ ? [C: $i,D: $i] :
( ( ( status @ C @ D @ A )
=> ( status @ C @ D @ B ) )
& ( ( status @ C @ D @ A )
| ~ ( status @ C @ D @ B ) ) ) ) ),
inference(miniscope,[status(thm)],[47]) ).
thf(49,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( xora @ A @ B )
| ~ ( status @ C @ D @ B )
| ~ ( status @ C @ D @ A ) ),
inference(cnf,[status(esa)],[48]) ).
thf(58,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( xora @ A @ B )
| ~ ( status @ C @ D @ B )
| ~ ( status @ C @ D @ A ) ),
inference(simp,[status(thm)],[49]) ).
thf(1499,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( xora @ C @ D )
| ~ ( status @ E @ F @ D )
| ( ( status @ A @ B @ sk1 )
!= ( status @ E @ F @ C ) ) ),
inference(paramod_ordered,[status(thm)],[20,58]) ).
thf(1500,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( xora @ sk1 @ C )
| ~ ( status @ A @ B @ C ) ),
inference(pattern_uni,[status(thm)],[1499:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( sk1 )),bind(D,$thf( D )),bind(E,$thf( A )),bind(F,$thf( B ))]]) ).
thf(1556,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( xora @ sk1 @ C )
| ~ ( status @ A @ B @ C ) ),
inference(simp,[status(thm)],[1500]) ).
thf(85343,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( xora @ sk1 @ E )
| ( ( status @ A @ B @ sk2 )
!= ( status @ C @ D @ E ) ) ),
inference(paramod_ordered,[status(thm)],[1827,1556]) ).
thf(85344,plain,
~ ( xora @ sk1 @ sk2 ),
inference(pattern_uni,[status(thm)],[85343:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( A )),bind(D,$thf( B )),bind(E,$thf( sk2 ))]]) ).
thf(18,plain,
( ( nota @ sk1 @ sk2 )
| ( nevera @ sk1 @ sk2 )
| ( xora @ sk1 @ sk2 ) ),
inference(cnf,[status(esa)],[17]) ).
thf(5,axiom,
! [A: $i,B: $i] :
( ? [C: $i,D: $i] :
( ( status @ C @ D @ A )
& ~ ( status @ C @ D @ B ) )
<=> ( nota @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nota) ).
thf(34,plain,
! [A: $i,B: $i] :
( ( ? [C: $i,D: $i] :
( ( status @ C @ D @ A )
& ~ ( status @ C @ D @ B ) )
=> ( nota @ A @ B ) )
& ( ( nota @ A @ B )
=> ? [C: $i,D: $i] :
( ( status @ C @ D @ A )
& ~ ( status @ C @ D @ B ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(35,plain,
( ! [A: $i,B: $i] :
( ? [C: $i,D: $i] :
( ( status @ C @ D @ A )
& ~ ( status @ C @ D @ B ) )
=> ( nota @ A @ B ) )
& ! [A: $i,B: $i] :
( ( nota @ A @ B )
=> ? [C: $i,D: $i] :
( ( status @ C @ D @ A )
& ~ ( status @ C @ D @ B ) ) ) ),
inference(miniscope,[status(thm)],[34]) ).
thf(37,plain,
! [B: $i,A: $i] :
( ~ ( nota @ A @ B )
| ~ ( status @ ( sk7 @ B @ A ) @ ( sk8 @ B @ A ) @ B ) ),
inference(cnf,[status(esa)],[35]) ).
thf(40,plain,
! [B: $i,A: $i] :
( ~ ( nota @ A @ B )
| ~ ( status @ ( sk7 @ B @ A ) @ ( sk8 @ B @ A ) @ B ) ),
inference(simp,[status(thm)],[37]) ).
thf(1935,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( nota @ C @ D )
| ( ( status @ A @ B @ sk2 )
!= ( status @ ( sk7 @ D @ C ) @ ( sk8 @ D @ C ) @ D ) ) ),
inference(paramod_ordered,[status(thm)],[1827,40]) ).
thf(1936,plain,
! [A: $i] :
~ ( nota @ A @ sk2 ),
inference(pattern_uni,[status(thm)],[1935:[bind(A,$thf( sk7 @ sk2 @ H )),bind(B,$thf( sk8 @ sk2 @ H )),bind(C,$thf( H )),bind(D,$thf( sk2 ))]]) ).
thf(1948,plain,
! [A: $i] :
~ ( nota @ A @ sk2 ),
inference(simp,[status(thm)],[1936]) ).
thf(2071,plain,
( $false
| ( nevera @ sk1 @ sk2 )
| ( xora @ sk1 @ sk2 ) ),
inference(rewrite,[status(thm)],[18,1948]) ).
thf(2072,plain,
( ( nevera @ sk1 @ sk2 )
| ( xora @ sk1 @ sk2 ) ),
inference(simp,[status(thm)],[2071]) ).
thf(6,axiom,
! [A: $i,B: $i] :
( ! [C: $i,D: $i] :
( ( status @ C @ D @ A )
=> ~ ( status @ C @ D @ B ) )
<=> ( nevera @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nevera) ).
thf(41,plain,
! [A: $i,B: $i] :
( ( ! [C: $i,D: $i] :
( ( status @ C @ D @ A )
=> ~ ( status @ C @ D @ B ) )
=> ( nevera @ A @ B ) )
& ( ( nevera @ A @ B )
=> ! [C: $i,D: $i] :
( ( status @ C @ D @ A )
=> ~ ( status @ C @ D @ B ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(42,plain,
( ! [A: $i,B: $i] :
( ! [C: $i,D: $i] :
( ( status @ C @ D @ A )
=> ~ ( status @ C @ D @ B ) )
=> ( nevera @ A @ B ) )
& ! [A: $i,B: $i] :
( ( nevera @ A @ B )
=> ! [C: $i,D: $i] :
( ( status @ C @ D @ A )
=> ~ ( status @ C @ D @ B ) ) ) ),
inference(miniscope,[status(thm)],[41]) ).
thf(43,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( nevera @ A @ B )
| ~ ( status @ C @ D @ A )
| ~ ( status @ C @ D @ B ) ),
inference(cnf,[status(esa)],[42]) ).
thf(46,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( nevera @ A @ B )
| ~ ( status @ C @ D @ A )
| ~ ( status @ C @ D @ B ) ),
inference(simp,[status(thm)],[43]) ).
thf(965,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( nevera @ C @ D )
| ~ ( status @ E @ F @ D )
| ( ( status @ A @ B @ sk1 )
!= ( status @ E @ F @ C ) ) ),
inference(paramod_ordered,[status(thm)],[20,46]) ).
thf(966,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( nevera @ sk1 @ C )
| ~ ( status @ A @ B @ C ) ),
inference(pattern_uni,[status(thm)],[965:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( sk1 )),bind(D,$thf( D )),bind(E,$thf( A )),bind(F,$thf( B ))]]) ).
thf(1008,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( nevera @ sk1 @ C )
| ~ ( status @ A @ B @ C ) ),
inference(simp,[status(thm)],[966]) ).
thf(32958,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( nevera @ sk1 @ E )
| ( ( status @ A @ B @ sk2 )
!= ( status @ C @ D @ E ) ) ),
inference(paramod_ordered,[status(thm)],[1827,1008]) ).
thf(32959,plain,
~ ( nevera @ sk1 @ sk2 ),
inference(pattern_uni,[status(thm)],[32958:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( A )),bind(D,$thf( B )),bind(E,$thf( sk2 ))]]) ).
thf(33002,plain,
( $false
| ( xora @ sk1 @ sk2 ) ),
inference(rewrite,[status(thm)],[2072,32959]) ).
thf(33003,plain,
xora @ sk1 @ sk2,
inference(simp,[status(thm)],[33002]) ).
thf(85440,plain,
~ $true,
inference(rewrite,[status(thm)],[85344,33003]) ).
thf(85441,plain,
$false,
inference(simp,[status(thm)],[85440]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : KRS180+1 : TPTP v8.2.0. Bugfixed v5.4.0.
% 0.09/0.12 % Command : run_Leo-III %s %d
% 0.12/0.32 % Computer : n017.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Sat May 18 22:12:39 EDT 2024
% 0.12/0.32 % CPUTime :
% 0.96/0.90 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.22/1.07 % [INFO] Parsing done (159ms).
% 1.22/1.08 % [INFO] Running in sequential loop mode.
% 1.90/1.43 % [INFO] nitpick registered as external prover.
% 1.90/1.43 % [INFO] Scanning for conjecture ...
% 2.02/1.53 % [INFO] Found a conjecture (or negated_conjecture) and 13 axioms. Running axiom selection ...
% 2.17/1.57 % [INFO] Axiom selection finished. Selected 13 axioms (removed 0 axioms).
% 2.17/1.61 % [INFO] Problem is first-order (TPTP FOF).
% 2.33/1.61 % [INFO] Type checking passed.
% 2.33/1.62 % [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 ...
% 290.30/53.71 % [INFO] Killing All external provers ...
% 290.30/53.72 % Time passed: 53255ms (effective reasoning time: 52632ms)
% 290.30/53.72 % 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)>
% 290.30/53.72 % Axioms used in derivation (4): isa, xora, nota, nevera
% 290.30/53.72 % No. of inferences in proof: 51
% 290.30/53.72 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 53255 ms resp. 52632 ms w/o parsing
% 290.30/53.76 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 290.30/53.76 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------