TSTP Solution File: SET010^5 by Leo-III-SAT---1.7.10
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- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.10
% Problem : SET010^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n006.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 10:48:41 EDT 2024
% Result : Theorem 2.84s 1.93s
% Output : Refutation 2.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 6
% Syntax : Number of formulae : 21 ( 12 unt; 5 typ; 0 def)
% Number of atoms : 64 ( 9 equ; 0 cnn)
% Maximal formula atoms : 7 ( 4 avg)
% Number of connectives : 164 ( 43 ~; 16 |; 35 &; 70 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 12 ( 12 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 19 ( 10 ^ 9 !; 0 ?; 19 :)
% Comments :
%------------------------------------------------------------------------------
thf(a_type,type,
a: $tType ).
thf(sk1_type,type,
sk1: a > $o ).
thf(sk2_type,type,
sk2: a > $o ).
thf(sk3_type,type,
sk3: a > $o ).
thf(sk4_type,type,
sk4: a ).
thf(1,conjecture,
! [A: a > $o,B: a > $o,C: a > $o] :
( ( ^ [D: a] :
( ( A @ D )
& ~ ( ( B @ D )
& ( C @ D ) ) ) )
= ( ^ [D: a] :
( ( ( A @ D )
& ~ ( B @ D ) )
| ( ( A @ D )
& ~ ( C @ D ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cBOOL_PROP_86_pme) ).
thf(2,negated_conjecture,
~ ! [A: a > $o,B: a > $o,C: a > $o] :
( ( ^ [D: a] :
( ( A @ D )
& ~ ( ( B @ D )
& ( C @ D ) ) ) )
= ( ^ [D: a] :
( ( ( A @ D )
& ~ ( B @ D ) )
| ( ( A @ D )
& ~ ( C @ D ) ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ! [A: a > $o,B: a > $o,C: a > $o] :
( ( ^ [D: a] :
( ( A @ D )
& ~ ( ( B @ D )
& ( C @ D ) ) ) )
= ( ^ [D: a] :
( ( ( A @ D )
& ~ ( B @ D ) )
| ( ( A @ D )
& ~ ( C @ D ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(4,plain,
( ( ^ [A: a] :
( ( sk1 @ A )
& ~ ( ( sk2 @ A )
& ( sk3 @ A ) ) ) )
!= ( ^ [A: a] :
( ( ( sk1 @ A )
& ~ ( sk2 @ A ) )
| ( ( sk1 @ A )
& ~ ( sk3 @ A ) ) ) ) ),
inference(cnf,[status(esa)],[3]) ).
thf(5,plain,
( ( ^ [A: a] :
( ( sk1 @ A )
& ~ ( ( sk2 @ A )
& ( sk3 @ A ) ) ) )
!= ( ^ [A: a] :
( ( ( sk1 @ A )
& ~ ( sk2 @ A ) )
| ( ( sk1 @ A )
& ~ ( sk3 @ A ) ) ) ) ),
inference(lifteq,[status(thm)],[4]) ).
thf(6,plain,
( ( ( sk1 @ sk4 )
& ~ ( ( sk2 @ sk4 )
& ( sk3 @ sk4 ) ) )
!= ( ( ( sk1 @ sk4 )
& ~ ( sk2 @ sk4 ) )
| ( ( sk1 @ sk4 )
& ~ ( sk3 @ sk4 ) ) ) ),
inference(func_ext,[status(esa)],[5]) ).
thf(8,plain,
( ( ( sk1 @ sk4 )
& ~ ( ( sk2 @ sk4 )
& ( sk3 @ sk4 ) ) )
| ( ( sk1 @ sk4 )
& ~ ( sk2 @ sk4 ) )
| ( ( sk1 @ sk4 )
& ~ ( sk3 @ sk4 ) ) ),
inference(bool_ext,[status(thm)],[6]) ).
thf(20,plain,
( ( sk1 @ sk4 )
| ( sk1 @ sk4 )
| ( sk1 @ sk4 ) ),
inference(cnf,[status(esa)],[8]) ).
thf(23,plain,
sk1 @ sk4,
inference(simp,[status(thm)],[20]) ).
thf(30,plain,
( ( $true
& ~ ( ( sk2 @ sk4 )
& ( sk3 @ sk4 ) ) )
!= ( ( $true
& ~ ( sk2 @ sk4 ) )
| ( $true
& ~ ( sk3 @ sk4 ) ) ) ),
inference(rewrite,[status(thm)],[6,23]) ).
thf(31,plain,
( ( ~ ( ( sk2 @ sk4 )
& ( sk3 @ sk4 ) ) )
!= ( ~ ( sk2 @ sk4 )
| ~ ( sk3 @ sk4 ) ) ),
inference(simp,[status(thm)],[30]) ).
thf(32,plain,
( ~ ~ ( ( sk2 @ sk4 )
& ( sk3 @ sk4 ) )
| ~ ( ~ ( sk2 @ sk4 )
| ~ ( sk3 @ sk4 ) ) ),
inference(bool_ext,[status(thm)],[31]) ).
thf(35,plain,
( ( sk3 @ sk4 )
| ( sk3 @ sk4 ) ),
inference(cnf,[status(esa)],[32]) ).
thf(37,plain,
sk3 @ sk4,
inference(simp,[status(thm)],[35]) ).
thf(43,plain,
( ( ~ ( ( sk2 @ sk4 )
& $true ) )
!= ( ~ ( sk2 @ sk4 )
| ~ $true ) ),
inference(rewrite,[status(thm)],[31,37]) ).
thf(44,plain,
$false,
inference(simp,[status(thm)],[43]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14 % Problem : SET010^5 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.16 % Command : run_Leo-III %s %d
% 0.16/0.36 % Computer : n006.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 : Mon May 6 20:47:09 EDT 2024
% 0.16/0.36 % CPUTime :
% 0.92/0.89 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.02/1.02 % [INFO] Parsing done (125ms).
% 1.24/1.03 % [INFO] Running in sequential loop mode.
% 1.69/1.34 % [INFO] nitpick registered as external prover.
% 1.69/1.34 % [INFO] Scanning for conjecture ...
% 1.83/1.42 % [INFO] Found a conjecture and 0 axioms. Running axiom selection ...
% 1.83/1.46 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 1.83/1.46 % [INFO] Problem is higher-order (TPTP THF).
% 2.00/1.46 % [INFO] Type checking passed.
% 2.00/1.47 % [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 ...
% 2.84/1.92 % [INFO] Killing All external provers ...
% 2.84/1.93 % Time passed: 1408ms (effective reasoning time: 890ms)
% 2.84/1.93 % 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)>
% 2.84/1.93 % Axioms used in derivation (0):
% 2.84/1.93 % No. of inferences in proof: 16
% 2.84/1.93 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1408 ms resp. 890 ms w/o parsing
% 2.84/1.96 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.84/1.96 % [INFO] Killing All external provers ...
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