TSTP Solution File: SYO304^5 by Leo-III-SAT---1.7.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.12
% Problem : SYO304^5 : TPTP v8.2.0. Released v4.0.0.
% 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 08:59:51 EDT 2024
% Result : Theorem 3.71s 1.96s
% Output : Refutation 3.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 6
% Syntax : Number of formulae : 28 ( 15 unt; 5 typ; 0 def)
% Number of atoms : 36 ( 27 equ; 6 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 95 ( 22 ~; 13 |; 0 &; 46 @)
% ( 0 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 26 ( 26 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 4 usr; 4 con; 0-2 aty)
% Number of variables : 28 ( 12 ^ 16 !; 0 ?; 28 :)
% Comments :
%------------------------------------------------------------------------------
thf(a_type,type,
a: $tType ).
thf(sk1_type,type,
sk1: ( a > a > $o ) > $o ).
thf(sk2_type,type,
sk2: a ).
thf(sk3_type,type,
sk3: a ).
thf(sk4_type,type,
sk4: a > $o ).
thf(1,conjecture,
! [A: ( a > a > $o ) > $o] :
( ( A
@ ^ [B: a,C: a] :
! [D: a > $o] :
( ( D @ B )
=> ( D @ C ) ) )
=> ( A @ ( (=) @ a ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cE2_eq__pme) ).
thf(2,negated_conjecture,
~ ! [A: ( a > a > $o ) > $o] :
( ( A
@ ^ [B: a,C: a] :
! [D: a > $o] :
( ( D @ B )
=> ( D @ C ) ) )
=> ( A @ ( (=) @ a ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ! [A: ( a > a > $o ) > $o] :
( ( A
@ ^ [B: a,C: a] :
! [D: a > $o] :
( ( D @ B )
=> ( D @ C ) ) )
=> ( A @ ( (=) @ a ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(5,plain,
( sk1
@ ^ [A: a,B: a] :
! [C: a > $o] :
( ( C @ A )
=> ( C @ B ) ) ),
inference(cnf,[status(esa)],[3]) ).
thf(4,plain,
~ ( sk1 @ ( (=) @ a ) ),
inference(cnf,[status(esa)],[3]) ).
thf(6,plain,
( ( sk1
@ ^ [A: a,B: a] :
! [C: a > $o] :
( ( C @ A )
=> ( C @ B ) ) )
!= ( sk1 @ ( (=) @ a ) ) ),
inference(paramod_ordered,[status(thm)],[5,4]) ).
thf(7,plain,
( ( ^ [A: a,B: a] :
! [C: a > $o] :
( ( C @ A )
=> ( C @ B ) ) )
!= ( (=) @ a ) ),
inference(simp,[status(thm)],[6]) ).
thf(8,plain,
( ( ! [A: a > $o] :
( ( A @ sk2 )
=> ( A @ sk3 ) ) )
!= ( sk2 = sk3 ) ),
inference(func_ext,[status(esa)],[7]) ).
thf(10,plain,
( ! [A: a > $o] :
( ( A @ sk2 )
=> ( A @ sk3 ) )
| ( sk2 = sk3 ) ),
inference(bool_ext,[status(thm)],[8]) ).
thf(12,plain,
( ( sk3 = sk2 )
| ! [A: a > $o] :
( ( A @ sk2 )
=> ( A @ sk3 ) ) ),
inference(lifteq,[status(thm)],[10]) ).
thf(15,plain,
! [A: a > $o] :
( ~ ( A @ sk2 )
| ( A @ sk3 )
| ( sk3 = sk2 ) ),
inference(cnf,[status(esa)],[12]) ).
thf(9,plain,
( ~ ! [A: a > $o] :
( ( A @ sk2 )
=> ( A @ sk3 ) )
| ( sk2 != sk3 ) ),
inference(bool_ext,[status(thm)],[8]) ).
thf(11,plain,
( ( sk3 != sk2 )
| ~ ! [A: a > $o] :
( ( A @ sk2 )
=> ( A @ sk3 ) ) ),
inference(lifteq,[status(thm)],[9]) ).
thf(14,plain,
( ( sk4 @ sk2 )
| ( sk3 != sk2 ) ),
inference(cnf,[status(esa)],[11]) ).
thf(13,plain,
( ~ ( sk4 @ sk3 )
| ( sk3 != sk2 ) ),
inference(cnf,[status(esa)],[11]) ).
thf(16,plain,
( ( sk3 != sk2 )
| ( ( sk4 @ sk3 )
!= ( sk4 @ sk2 ) ) ),
inference(paramod_ordered,[status(thm)],[14,13]) ).
thf(17,plain,
( ( sk3 != sk2 )
| ( sk3 != sk2 ) ),
inference(simp,[status(thm)],[16]) ).
thf(18,plain,
sk3 != sk2,
inference(simp,[status(thm)],[17]) ).
thf(92,plain,
! [A: a > $o] :
( ~ ( A @ sk2 )
| ( A @ sk3 ) ),
inference(simplifyReflect,[status(thm)],[15,18]) ).
thf(93,plain,
( ( sk2 != sk2 )
| ( sk2 = sk3 ) ),
inference(replace_leibeq,[status(thm)],[92:[bind(A,$thf( (=) @ a @ sk2 ))]]) ).
thf(94,plain,
( ( sk2 != sk2 )
| ( sk3 = sk2 ) ),
inference(lifteq,[status(thm)],[93]) ).
thf(95,plain,
sk3 = sk2,
inference(pattern_uni,[status(thm)],[94:[]]) ).
thf(96,plain,
$false,
inference(simplifyReflect,[status(thm)],[95,18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYO304^5 : TPTP v8.2.0. Released v4.0.0.
% 0.11/0.15 % 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 : Mon May 20 09:20:54 EDT 2024
% 0.16/0.36 % CPUTime :
% 0.98/0.89 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.07/1.00 % [INFO] Parsing done (111ms).
% 1.07/1.01 % [INFO] Running in sequential loop mode.
% 1.71/1.22 % [INFO] nitpick registered as external prover.
% 1.71/1.22 % [INFO] Scanning for conjecture ...
% 1.73/1.26 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 1.73/1.28 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 1.73/1.28 % [INFO] Problem is higher-order (TPTP THF).
% 1.73/1.29 % [INFO] Type checking passed.
% 1.73/1.29 % [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 ...
% 3.71/1.96 % [INFO] Killing All external provers ...
% 3.71/1.96 % Time passed: 1441ms (effective reasoning time: 945ms)
% 3.71/1.96 % 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)>
% 3.71/1.96 % Axioms used in derivation (0):
% 3.71/1.96 % No. of inferences in proof: 23
% 3.71/1.96 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1441 ms resp. 945 ms w/o parsing
% 3.71/2.00 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.71/2.00 % [INFO] Killing All external provers ...
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