TSTP Solution File: SEV241^5 by Leo-III-SAT---1.7.15
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%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.15
% Problem : SEV241^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d SAT
% Computer : n026.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 Jun 24 15:59:50 EDT 2024
% Result : Theorem 2.81s 1.66s
% Output : Refutation 3.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 1
% Syntax : Number of formulae : 16 ( 7 unt; 0 typ; 0 def)
% Number of atoms : 60 ( 17 equ; 0 cnn)
% Maximal formula atoms : 4 ( 3 avg)
% Number of connectives : 57 ( 9 ~; 10 |; 3 &; 29 @)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 3 ( 3 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 13 ( 0 ^ 13 !; 0 ?; 13 :)
% Comments :
%------------------------------------------------------------------------------
thf(a_type,type,
a: $tType ).
thf(cW_type,type,
cW: a > $o ).
thf(cU_type,type,
cU: a > $o ).
thf(sk1_type,type,
sk1: a ).
thf(sk2_type,type,
sk2: a > $o ).
thf(1,conjecture,
! [A: a] :
( ( ( cU @ A )
& ( cW @ A ) )
=> ! [B: a > $o] :
( ( ( B = cU )
| ( B = cW ) )
=> ( B @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cX5201A_pme) ).
thf(2,negated_conjecture,
~ ! [A: a] :
( ( ( cU @ A )
& ( cW @ A ) )
=> ! [B: a > $o] :
( ( ( B = cU )
| ( B = cW ) )
=> ( B @ A ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ! [A: a] :
( ( ( cU @ A )
& ( cW @ A ) )
=> ! [B: a > $o] :
( ( ( B = cU )
| ( B = cW ) )
=> ( B @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(4,plain,
~ ( sk2 @ sk1 ),
inference(cnf,[status(esa)],[3]) ).
thf(5,plain,
( ( sk2 = cU )
| ( sk2 = cW ) ),
inference(cnf,[status(esa)],[3]) ).
thf(8,plain,
( ( sk2 = cU )
| ( sk2 = cW ) ),
inference(lifteq,[status(thm)],[5]) ).
thf(9,plain,
! [B: a,A: a] :
( ( ( sk2 @ A )
= ( cU @ A ) )
| ( ( sk2 @ B )
= ( cW @ B ) ) ),
inference(func_ext,[status(esa)],[8]) ).
thf(20,plain,
! [B: a,A: a] :
( ( ( sk2 @ A )
= ( cU @ A ) )
| ~ ( cW @ B )
| ( ( sk2 @ B )
!= ( sk2 @ sk1 ) ) ),
inference(paramod_ordered,[status(thm)],[9,4]) ).
thf(21,plain,
! [A: a] :
( ( ( sk2 @ A )
= ( cU @ A ) )
| ~ ( cW @ sk1 ) ),
inference(pattern_uni,[status(thm)],[20:[bind(A,$thf( A )),bind(B,$thf( sk1 ))]]) ).
thf(6,plain,
cW @ sk1,
inference(cnf,[status(esa)],[3]) ).
thf(24,plain,
! [A: a] :
( ( ( sk2 @ A )
= ( cU @ A ) )
| ~ $true ),
inference(rewrite,[status(thm)],[21,6]) ).
thf(25,plain,
! [A: a] :
( ( sk2 @ A )
= ( cU @ A ) ),
inference(simp,[status(thm)],[24]) ).
thf(26,plain,
~ ( cU @ sk1 ),
inference(rewrite,[status(thm)],[4,25]) ).
thf(7,plain,
cU @ sk1,
inference(cnf,[status(esa)],[3]) ).
thf(33,plain,
~ $true,
inference(rewrite,[status(thm)],[26,7]) ).
thf(34,plain,
$false,
inference(simp,[status(thm)],[33]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEV241^5 : TPTP v8.2.0. Released v4.0.0.
% 0.07/0.12 % Command : run_Leo-III %s %d SAT
% 0.12/0.33 % Computer : n026.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri Jun 21 19:04:40 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.88/0.84 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.21/0.94 % [INFO] Parsing done (101ms).
% 1.21/0.95 % [INFO] Running in sequential loop mode.
% 1.50/1.16 % [INFO] nitpick registered as external prover.
% 1.50/1.16 % [INFO] Scanning for conjecture ...
% 1.76/1.21 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 1.86/1.23 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 1.86/1.23 % [INFO] Problem is higher-order (TPTP THF).
% 1.86/1.24 % [INFO] Type checking passed.
% 1.86/1.24 % [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 ...
% 2.81/1.66 % [INFO] Killing All external provers ...
% 2.81/1.66 % Time passed: 1152ms (effective reasoning time: 706ms)
% 2.81/1.66 % 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)>
% 2.81/1.66 % Axioms used in derivation (0):
% 2.81/1.66 % No. of inferences in proof: 16
% 2.81/1.66 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1152 ms resp. 706 ms w/o parsing
% 3.02/1.68 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.02/1.68 % [INFO] Killing All external provers ...
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