TSTP Solution File: NUN088+1 by Leo-III-SAT---1.7.12
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%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.12
% Problem : NUN088+1 : TPTP v8.2.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n019.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 21 02:16:43 EDT 2024
% Result : Theorem 3.66s 1.87s
% Output : Refutation 3.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of formulae : 21 ( 6 unt; 6 typ; 0 def)
% Number of atoms : 36 ( 1 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 102 ( 31 ~; 19 |; 0 &; 52 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 5 ( 5 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 24 ( 0 ^ 24 !; 0 ?; 24 :)
% Comments :
%------------------------------------------------------------------------------
thf(id_type,type,
id: $i > $i > $o ).
thf(r1_type,type,
r1: $i > $o ).
thf(r2_type,type,
r2: $i > $i > $o ).
thf(sk1_type,type,
sk1: $i ).
thf(sk2_type,type,
sk2: $i ).
thf(sk3_type,type,
sk3: $i ).
thf(1,conjecture,
! [A: $i] :
( ! [B: $i] :
( ~ ( id @ B @ A )
| ~ ( r1 @ B ) )
| ! [B: $i] :
( ~ ( r1 @ B )
| ~ ( r2 @ B @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',zerounidone) ).
thf(2,negated_conjecture,
~ ! [A: $i] :
( ! [B: $i] :
( ~ ( id @ B @ A )
| ~ ( r1 @ B ) )
| ! [B: $i] :
( ~ ( r1 @ B )
| ~ ( r2 @ B @ A ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(21,plain,
~ ! [A: $i] :
( ! [B: $i] :
( ~ ( id @ B @ A )
| ~ ( r1 @ B ) )
| ! [B: $i] :
( ~ ( r1 @ B )
| ~ ( r2 @ B @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(22,plain,
r2 @ sk3 @ sk1,
inference(cnf,[status(esa)],[21]) ).
thf(25,plain,
id @ sk2 @ sk1,
inference(cnf,[status(esa)],[21]) ).
thf(9,axiom,
! [A: $i,B: $i] :
( ! [C: $i] :
( ~ ( id @ C @ B )
| ~ ( r1 @ C ) )
| ~ ( r2 @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7a) ).
thf(52,plain,
! [A: $i,B: $i] :
( ! [C: $i] :
( ~ ( id @ C @ B )
| ~ ( r1 @ C ) )
| ~ ( r2 @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(53,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( id @ C @ B )
| ~ ( r1 @ C )
| ~ ( r2 @ A @ B ) ),
inference(cnf,[status(esa)],[52]) ).
thf(112,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( r1 @ C )
| ~ ( r2 @ A @ B )
| ( ( id @ sk2 @ sk1 )
!= ( id @ C @ B ) ) ),
inference(paramod_ordered,[status(thm)],[25,53]) ).
thf(113,plain,
! [A: $i] :
( ~ ( r1 @ sk2 )
| ~ ( r2 @ A @ sk1 ) ),
inference(pattern_uni,[status(thm)],[112:[bind(A,$thf( A )),bind(B,$thf( sk1 )),bind(C,$thf( sk2 ))]]) ).
thf(24,plain,
r1 @ sk2,
inference(cnf,[status(esa)],[21]) ).
thf(115,plain,
! [A: $i] :
( ~ $true
| ~ ( r2 @ A @ sk1 ) ),
inference(rewrite,[status(thm)],[113,24]) ).
thf(116,plain,
! [A: $i] :
~ ( r2 @ A @ sk1 ),
inference(simp,[status(thm)],[115]) ).
thf(117,plain,
$false,
inference(rewrite,[status(thm)],[22,116]) ).
thf(118,plain,
$false,
inference(simp,[status(thm)],[117]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : NUN088+1 : TPTP v8.2.0. Released v7.3.0.
% 0.12/0.15 % Command : run_Leo-III %s %d
% 0.16/0.36 % Computer : n019.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 : Sat May 18 14:52:09 EDT 2024
% 0.16/0.37 % CPUTime :
% 0.97/0.87 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.15/0.99 % [INFO] Parsing done (126ms).
% 1.15/1.00 % [INFO] Running in sequential loop mode.
% 1.77/1.21 % [INFO] nitpick registered as external prover.
% 1.77/1.22 % [INFO] Scanning for conjecture ...
% 1.90/1.27 % [INFO] Found a conjecture (or negated_conjecture) and 18 axioms. Running axiom selection ...
% 1.90/1.31 % [INFO] Axiom selection finished. Selected 18 axioms (removed 0 axioms).
% 2.22/1.36 % [INFO] Problem is first-order (TPTP FOF).
% 2.22/1.36 % [INFO] Type checking passed.
% 2.22/1.36 % [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 ...
% 3.66/1.86 % [INFO] Killing All external provers ...
% 3.66/1.87 % Time passed: 1333ms (effective reasoning time: 857ms)
% 3.66/1.87 % 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)>
% 3.66/1.87 % Axioms used in derivation (1): axiom_7a
% 3.66/1.87 % No. of inferences in proof: 15
% 3.66/1.87 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1333 ms resp. 857 ms w/o parsing
% 3.66/1.89 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.66/1.89 % [INFO] Killing All external provers ...
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