TSTP Solution File: SYO315^5 by Leo-III-SAT---1.7.12
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%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.12
% Problem : SYO315^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n010.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 08:59:53 EDT 2024
% Result : Theorem 3.19s 1.79s
% Output : Refutation 3.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 4
% Syntax : Number of formulae : 19 ( 6 unt; 3 typ; 0 def)
% Number of atoms : 23 ( 18 equ; 0 cnn)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 112 ( 31 ~; 13 |; 24 &; 40 @)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 19 ( 19 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 3 usr; 4 con; 0-2 aty)
% Number of variables : 45 ( 0 ^ 13 !; 32 ?; 45 :)
% Comments :
%------------------------------------------------------------------------------
thf(z_type,type,
z: $i ).
thf(sk3_type,type,
sk3: $i > $o ).
thf(sk4_type,type,
sk4: $i ).
thf(1,conjecture,
( ? [A: $i > $o,B: $i > $o,C: $i,D: $i] :
( ( A @ C )
& ~ ( A @ D )
& ( B @ D )
& ~ ( B @ z ) )
=> ? [A: $i > $o,B: $i > $o,C: $i,D: $i] :
( ~ ( B @ z )
& ( B @ D )
& ( A @ C )
& ~ ( A @ D ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cSILLYWFF) ).
thf(2,negated_conjecture,
~ ( ? [A: $i > $o,B: $i > $o,C: $i,D: $i] :
( ( A @ C )
& ~ ( A @ D )
& ( B @ D )
& ~ ( B @ z ) )
=> ? [A: $i > $o,B: $i > $o,C: $i,D: $i] :
( ~ ( B @ z )
& ( B @ D )
& ( A @ C )
& ~ ( A @ D ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ( ? [A: $i > $o,B: $i > $o,C: $i,D: $i] :
( ( A @ C )
& ~ ( A @ D )
& ( B @ D )
& ~ ( B @ z ) )
=> ? [A: $i > $o,B: $i > $o,C: $i,D: $i] :
( ~ ( B @ z )
& ( B @ D )
& ( A @ C )
& ~ ( A @ D ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(4,plain,
~ ( ? [A: $i > $o] :
( ? [B: $i] : ( A @ B )
& ? [B: $i > $o,C: $i] :
( ~ ( A @ C )
& ( B @ C )
& ~ ( B @ z ) ) )
=> ? [A: $i > $o,B: $i > $o] :
( ~ ( B @ z )
& ? [C: $i,D: $i] :
( ( B @ D )
& ( A @ C )
& ~ ( A @ D ) ) ) ),
inference(miniscope,[status(thm)],[3]) ).
thf(5,plain,
! [D: $i,C: $i,B: $i > $o,A: $i > $o] :
( ( B @ z )
| ~ ( B @ D )
| ~ ( A @ C )
| ( A @ D ) ),
inference(cnf,[status(esa)],[4]) ).
thf(10,plain,
! [B: $i,A: $i] :
( ( B = z )
| ( B != B )
| ( A != A )
| ( A = B ) ),
inference(replace_leibeq,[status(thm)],[5:[bind(A,$thf( (=) @ $i @ C )),bind(B,$thf( (=) @ $i @ D ))]]) ).
thf(11,plain,
! [B: $i,A: $i] :
( ( B = z )
| ( B != B )
| ( A != A )
| ( A = B ) ),
inference(lifteq,[status(thm)],[10]) ).
thf(12,plain,
! [B: $i,A: $i] :
( ( B = z )
| ( A = B ) ),
inference(simp,[status(thm)],[11]) ).
thf(9,plain,
sk3 @ sk4,
inference(cnf,[status(esa)],[4]) ).
thf(6,plain,
~ ( sk3 @ z ),
inference(cnf,[status(esa)],[4]) ).
thf(15,plain,
( ( sk3 @ sk4 )
!= ( sk3 @ z ) ),
inference(paramod_ordered,[status(thm)],[9,6]) ).
thf(16,plain,
sk4 != z,
inference(simp,[status(thm)],[15]) ).
thf(51,plain,
! [B: $i,A: $i] :
( ( B = z )
| ( A != z )
| ( B != sk4 ) ),
inference(paramod_ordered,[status(thm)],[12,16]) ).
thf(52,plain,
! [A: $i] :
( ( sk4 = z )
| ( A != z ) ),
inference(pattern_uni,[status(thm)],[51:[bind(A,$thf( A )),bind(B,$thf( sk4 ))]]) ).
thf(66,plain,
sk4 = z,
inference(simp,[status(thm)],[52]) ).
thf(80,plain,
$false,
inference(simplifyReflect,[status(thm)],[66,16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SYO315^5 : TPTP v8.2.0. Released v4.0.0.
% 0.15/0.16 % Command : run_Leo-III %s %d
% 0.16/0.37 % Computer : n010.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Mon May 20 09:10:39 EDT 2024
% 0.16/0.37 % CPUTime :
% 0.98/0.89 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.22/1.00 % [INFO] Parsing done (110ms).
% 1.22/1.01 % [INFO] Running in sequential loop mode.
% 1.71/1.23 % [INFO] nitpick registered as external prover.
% 1.71/1.24 % [INFO] Scanning for conjecture ...
% 1.77/1.30 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 1.94/1.32 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 1.94/1.32 % [INFO] Problem is higher-order (TPTP THF).
% 1.94/1.32 % [INFO] Type checking passed.
% 1.94/1.32 % [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 ...
% 3.19/1.78 % [INFO] Killing All external provers ...
% 3.19/1.79 % Time passed: 1236ms (effective reasoning time: 769ms)
% 3.19/1.79 % 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)>
% 3.19/1.79 % Axioms used in derivation (0):
% 3.19/1.79 % No. of inferences in proof: 16
% 3.19/1.79 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1236 ms resp. 769 ms w/o parsing
% 3.22/1.83 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.22/1.83 % [INFO] Killing All external provers ...
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