TSTP Solution File: SET600^5 by Leo-III---1.7.10
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III---1.7.10
% Problem : SET600^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n021.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 08:07:34 EDT 2024
% Result : Theorem 3.76s 1.88s
% Output : Refutation 3.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 4
% Syntax : Number of formulae : 18 ( 8 unt; 3 typ; 0 def)
% Number of atoms : 100 ( 35 equ; 0 cnn)
% Maximal formula atoms : 3 ( 6 avg)
% Number of connectives : 68 ( 13 ~; 19 |; 8 &; 28 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 8 ( 8 >; 0 *; 0 +; 0 <<)
% Number of symbols : 5 ( 2 usr; 2 con; 0-2 aty)
% Number of variables : 52 ( 39 ^ 13 !; 0 ?; 52 :)
% Comments :
%------------------------------------------------------------------------------
thf(a_type,type,
a: $tType ).
thf(sk1_type,type,
sk1: a > $o ).
thf(sk2_type,type,
sk2: a > $o ).
thf(1,conjecture,
! [A: a > $o,B: a > $o] :
( ( ( ^ [C: a] :
( ( A @ C )
| ( B @ C ) ) )
= ( ^ [C: a] : $false ) )
= ( ( A
= ( ^ [C: a] : $false ) )
& ( B
= ( ^ [C: a] : $false ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cBOOL_PROP_59_pme) ).
thf(2,negated_conjecture,
~ ! [A: a > $o,B: a > $o] :
( ( ( ^ [C: a] :
( ( A @ C )
| ( B @ C ) ) )
= ( ^ [C: a] : $false ) )
= ( ( A
= ( ^ [C: a] : $false ) )
& ( B
= ( ^ [C: a] : $false ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ! [A: a > $o,B: a > $o] :
( ( ( ^ [C: a] :
( ( A @ C )
| ( B @ C ) ) )
= ( ^ [C: a] : $false ) )
= ( ( A
= ( ^ [C: a] : $false ) )
& ( B
= ( ^ [C: a] : $false ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(4,plain,
( ( ( ^ [A: a] :
( ( sk1 @ A )
| ( sk2 @ A ) ) )
= ( ^ [A: a] : $false ) )
!= ( ( sk1
= ( ^ [A: a] : $false ) )
& ( sk2
= ( ^ [A: a] : $false ) ) ) ),
inference(cnf,[status(esa)],[3]) ).
thf(5,plain,
( ( ( sk1
= ( ^ [A: a] : $false ) )
& ( sk2
= ( ^ [A: a] : $false ) ) )
!= ( ( ^ [A: a] :
( ( sk1 @ A )
| ( sk2 @ A ) ) )
= ( ^ [A: a] : $false ) ) ),
inference(lifteq,[status(thm)],[4]) ).
thf(7,plain,
( ( ( sk1
= ( ^ [A: a] : $false ) )
& ( sk2
= ( ^ [A: a] : $false ) ) )
| ( ( ^ [A: a] :
( ( sk1 @ A )
| ( sk2 @ A ) ) )
= ( ^ [A: a] : $false ) ) ),
inference(bool_ext,[status(thm)],[5]) ).
thf(9,plain,
( ( ( ^ [A: a] :
( ( sk1 @ A )
| ( sk2 @ A ) ) )
= ( ^ [A: a] : $false ) )
| ( ( sk1
= ( ^ [A: a] : $false ) )
& ( sk2
= ( ^ [A: a] : $false ) ) ) ),
inference(lifteq,[status(thm)],[7]) ).
thf(12,plain,
( ( sk2
= ( ^ [A: a] : $false ) )
| ( ( ^ [A: a] :
( ( sk1 @ A )
| ( sk2 @ A ) ) )
= ( ^ [A: a] : $false ) ) ),
inference(cnf,[status(esa)],[9]) ).
thf(14,plain,
( ( sk2
= ( ^ [A: a] : $false ) )
| ( ( ^ [A: a] :
( ( sk1 @ A )
| ( sk2 @ A ) ) )
= ( ^ [A: a] : $false ) ) ),
inference(lifteq,[status(thm)],[12]) ).
thf(16,plain,
! [B: a,A: a] :
( ~ ( sk2 @ A )
| ~ ( ( sk1 @ B )
| ( sk2 @ B ) ) ),
inference(func_ext,[status(esa)],[14]) ).
thf(17,plain,
! [B: a,A: a] :
( ~ ( sk2 @ B )
| ~ ( sk2 @ A ) ),
inference(cnf,[status(esa)],[16]) ).
thf(26,plain,
! [B: a,A: a] :
( ~ ( sk2 @ B )
| ( ( sk2 @ A )
!= ( sk2 @ B ) )
| ~ $true ),
inference(eqfactor_ordered,[status(thm)],[17]) ).
thf(27,plain,
! [A: a] :
~ ( sk2 @ A ),
inference(pattern_uni,[status(thm)],[26:[bind(A,$thf( A )),bind(B,$thf( A ))]]) ).
thf(28,plain,
( ( ( sk1
= ( ^ [A: a] : $false ) )
& ( ( ^ [A: a] : $false )
= ( ^ [A: a] : $false ) ) )
!= ( ( ^ [A: a] :
( ( sk1 @ A )
| $false ) )
= ( ^ [A: a] : $false ) ) ),
inference(rewrite,[status(thm)],[5,27]) ).
thf(29,plain,
$false,
inference(simp,[status(thm)],[28]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SET600^5 : TPTP v8.1.2. Released v4.0.0.
% 0.16/0.17 % Command : run_Leo-III %s %d
% 0.17/0.38 % Computer : n021.cluster.edu
% 0.17/0.38 % Model : x86_64 x86_64
% 0.17/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.38 % Memory : 8042.1875MB
% 0.17/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.38 % CPULimit : 300
% 0.17/0.38 % WCLimit : 300
% 0.17/0.38 % DateTime : Mon May 6 13:13:24 EDT 2024
% 0.17/0.38 % CPUTime :
% 0.92/0.88 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.25/0.99 % [INFO] Parsing done (112ms).
% 1.25/1.00 % [INFO] Running in sequential loop mode.
% 1.74/1.22 % [INFO] eprover registered as external prover.
% 1.74/1.22 % [INFO] cvc4 registered as external prover.
% 1.74/1.22 % [INFO] Scanning for conjecture ...
% 1.87/1.27 % [INFO] Found a conjecture and 0 axioms. Running axiom selection ...
% 1.87/1.30 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 1.87/1.30 % [INFO] Problem is higher-order (TPTP THF).
% 1.87/1.30 % [INFO] Type checking passed.
% 1.87/1.30 % [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 ...
% 3.76/1.88 % [INFO] Killing All external provers ...
% 3.76/1.88 % Time passed: 1334ms (effective reasoning time: 877ms)
% 3.76/1.88 % 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)>
% 3.76/1.88 % Axioms used in derivation (0):
% 3.76/1.88 % No. of inferences in proof: 15
% 3.76/1.88 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1334 ms resp. 877 ms w/o parsing
% 3.76/1.91 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.76/1.91 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------