TSTP Solution File: SYN360^5 by Leo-III-SAT---1.7.12
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%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.12
% Problem : SYN360^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n003.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 08:18:13 EDT 2024
% Result : Theorem 2.38s 1.50s
% Output : Refutation 2.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 6
% Syntax : Number of formulae : 17 ( 7 unt; 5 typ; 0 def)
% Number of atoms : 25 ( 1 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 64 ( 6 ~; 2 |; 3 &; 47 @)
% ( 0 <=>; 6 =>; 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 : 8 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 34 ( 0 ^ 28 !; 6 ?; 34 :)
% Comments :
%------------------------------------------------------------------------------
thf(cQ_type,type,
cQ: $i > $i > $o ).
thf(c_less__type,type,
c_less_: $i > $i > $o ).
thf(sk1_type,type,
sk1: $i > $i ).
thf(sk2_type,type,
sk2: $i ).
thf(sk3_type,type,
sk3: $i ).
thf(1,conjecture,
( ( ! [A: $i] :
( ? [B: $i] : ( c_less_ @ A @ B )
=> ! [B: $i] : ( cQ @ A @ B ) )
& ! [A: $i] :
? [B: $i] : ( c_less_ @ A @ B ) )
=> ! [A: $i,B: $i] : ( cQ @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cX2111A_pme) ).
thf(2,negated_conjecture,
~ ( ( ! [A: $i] :
( ? [B: $i] : ( c_less_ @ A @ B )
=> ! [B: $i] : ( cQ @ A @ B ) )
& ! [A: $i] :
? [B: $i] : ( c_less_ @ A @ B ) )
=> ! [A: $i,B: $i] : ( cQ @ B @ A ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ( ( ! [A: $i] :
( ? [B: $i] : ( c_less_ @ A @ B )
=> ! [B: $i] : ( cQ @ A @ B ) )
& ! [A: $i] :
? [B: $i] : ( c_less_ @ A @ B ) )
=> ! [A: $i,B: $i] : ( cQ @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(4,plain,
~ ( cQ @ sk3 @ sk2 ),
inference(cnf,[status(esa)],[3]) ).
thf(5,plain,
! [A: $i] : ( c_less_ @ A @ ( sk1 @ A ) ),
inference(cnf,[status(esa)],[3]) ).
thf(7,plain,
! [A: $i] : ( c_less_ @ A @ ( sk1 @ A ) ),
inference(simp,[status(thm)],[5]) ).
thf(6,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( c_less_ @ A @ B )
| ( cQ @ A @ C ) ),
inference(cnf,[status(esa)],[3]) ).
thf(9,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( cQ @ B @ D )
| ( ( c_less_ @ A @ ( sk1 @ A ) )
!= ( c_less_ @ B @ C ) ) ),
inference(paramod_ordered,[status(thm)],[7,6]) ).
thf(10,plain,
! [B: $i,A: $i] : ( cQ @ B @ A ),
inference(pattern_uni,[status(thm)],[9:[bind(A,$thf( E )),bind(B,$thf( E )),bind(C,$thf( sk1 @ E ))]]) ).
thf(11,plain,
! [B: $i,A: $i] : ( cQ @ B @ A ),
inference(simp,[status(thm)],[10]) ).
thf(12,plain,
~ $true,
inference(rewrite,[status(thm)],[4,11]) ).
thf(13,plain,
$false,
inference(simp,[status(thm)],[12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SYN360^5 : TPTP v8.2.0. Released v4.0.0.
% 0.12/0.16 % Command : run_Leo-III %s %d
% 0.15/0.37 % Computer : n003.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Mon May 20 15:53:39 EDT 2024
% 0.15/0.37 % CPUTime :
% 0.97/0.87 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.14/0.97 % [INFO] Parsing done (94ms).
% 1.14/0.98 % [INFO] Running in sequential loop mode.
% 1.46/1.17 % [INFO] nitpick registered as external prover.
% 1.46/1.17 % [INFO] Scanning for conjecture ...
% 1.74/1.22 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 1.80/1.24 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 1.80/1.24 % [INFO] Problem is higher-order (TPTP THF).
% 1.80/1.25 % [INFO] Type checking passed.
% 1.80/1.25 % [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 ...
% 2.38/1.50 % [INFO] Killing All external provers ...
% 2.38/1.50 % Time passed: 960ms (effective reasoning time: 520ms)
% 2.38/1.50 % 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)>
% 2.38/1.50 % Axioms used in derivation (0):
% 2.38/1.50 % No. of inferences in proof: 12
% 2.38/1.50 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 960 ms resp. 520 ms w/o parsing
% 2.53/1.57 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.53/1.57 % [INFO] Killing All external provers ...
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