TSTP Solution File: SEV385^5 by Leo-III---1.7.15
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- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III---1.7.15
% Problem : SEV385^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d THM
% Computer : n017.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 : Mon Jun 24 15:58:53 EDT 2024
% Result : Theorem 3.36s 1.91s
% Output : Refutation 3.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 1
% Syntax : Number of formulae : 12 ( 3 unt; 0 typ; 0 def)
% Number of atoms : 56 ( 50 equ; 9 cnn)
% Maximal formula atoms : 4 ( 4 avg)
% Number of connectives : 81 ( 14 ~; 7 |; 10 &; 44 @)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Number of types : 2 ( 2 usr)
% Number of type conns : 8 ( 8 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 4 usr; 5 con; 0-2 aty)
% Number of variables : 31 ( 9 ^ 16 !; 6 ?; 31 :)
% Comments :
%------------------------------------------------------------------------------
thf(b_type,type,
b: $tType ).
thf(a_type,type,
a: $tType ).
thf(x_type,type,
x: b ).
thf(y_type,type,
y: a ).
thf(sk2_type,type,
sk2: ( b > a ) > a ).
thf(1,conjecture,
? [A: b > a] :
( ! [B: b] :
( ( x = B )
=> ( y
= ( A @ B ) ) )
& ! [B: a] :
( ( y = B )
=> ? [C: b] :
( ( ^ [D: b] :
( ( x = D )
& ( B
= ( A @ D ) ) ) )
= ( (=) @ b @ C ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cX6004_pme) ).
thf(2,negated_conjecture,
~ ? [A: b > a] :
( ! [B: b] :
( ( x = B )
=> ( y
= ( A @ B ) ) )
& ! [B: a] :
( ( y = B )
=> ? [C: b] :
( ( ^ [D: b] :
( ( x = D )
& ( B
= ( A @ D ) ) ) )
= ( (=) @ b @ C ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ? [A: b > a] :
( ! [B: b] :
( ( x = B )
=> ( y
= ( A @ B ) ) )
& ! [B: a] :
( ( y = B )
=> ? [C: b] :
( ( ^ [D: b] :
( ( x = D )
& ( B
= ( A @ D ) ) ) )
= ( (=) @ b @ C ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(6,plain,
! [A: b > a] :
( ( y
!= ( A @ ( sk1 @ A ) ) )
| ( y
= ( sk2 @ A ) ) ),
inference(cnf,[status(esa)],[3]) ).
thf(10,plain,
! [A: b > a] :
( ( y
!= ( A @ ( sk1 @ A ) ) )
| ( ( sk2 @ A )
= y ) ),
inference(lifteq,[status(thm)],[6]) ).
thf(12,plain,
( ( sk2
@ ^ [A: b] : y )
= y ),
inference(pre_uni,[status(thm)],[10:[bind(A,$thf( ^ [B: b] : y ))]]) ).
thf(7,plain,
! [B: b,A: b > a] :
( ( y
!= ( A @ ( sk1 @ A ) ) )
| ( ( ^ [C: b] :
( ( x = C )
& ( ( sk2 @ A )
= ( A @ C ) ) ) )
!= ( (=) @ b @ B ) ) ),
inference(cnf,[status(esa)],[3]) ).
thf(11,plain,
! [B: b,A: b > a] :
( ( y
!= ( A @ ( sk1 @ A ) ) )
| ( ( ^ [C: b] :
( ( x = C )
& ( ( sk2 @ A )
= ( A @ C ) ) ) )
!= ( (=) @ b @ B ) ) ),
inference(lifteq,[status(thm)],[7]) ).
thf(42,plain,
! [B: b,A: b > a] :
( ( y
!= ( A @ ( sk1 @ A ) ) )
| ( ( ^ [C: b] :
( ( x = C )
& ( y
= ( A @ C ) ) ) )
!= ( (=) @ b @ B ) )
| ( ( sk2
@ ^ [C: b] : y )
!= ( sk2 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[12,11]) ).
thf(43,plain,
! [A: b] :
( ( y != y )
| ( ( ^ [B: b] :
( ( x = B )
& ( y = y ) ) )
!= ( (=) @ b @ A ) ) ),
inference(pattern_uni,[status(thm)],[42:[bind(A,$thf( ^ [C: b] : y ))]]) ).
thf(49,plain,
! [A: b] :
( ( (=) @ b @ x )
!= ( (=) @ b @ A ) ),
inference(simp,[status(thm)],[43]) ).
thf(54,plain,
$false,
inference(pattern_uni,[status(thm)],[49:[bind(A,$thf( x ))]]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : SEV385^5 : TPTP v8.2.0. Released v4.0.0.
% 0.13/0.13 % Command : run_Leo-III %s %d THM
% 0.13/0.35 % Computer : n017.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Fri Jun 21 18:25:25 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.99/0.91 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.13/1.02 % [INFO] Parsing done (112ms).
% 1.33/1.03 % [INFO] Running in sequential loop mode.
% 1.69/1.25 % [INFO] eprover registered as external prover.
% 1.69/1.26 % [INFO] Scanning for conjecture ...
% 1.89/1.32 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 1.89/1.34 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 1.89/1.34 % [INFO] Problem is higher-order (TPTP THF).
% 1.89/1.34 % [INFO] Type checking passed.
% 1.89/1.35 % [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 ...
% 3.36/1.91 % [INFO] Killing All external provers ...
% 3.36/1.91 % Time passed: 1352ms (effective reasoning time: 877ms)
% 3.36/1.91 % 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)>
% 3.36/1.91 % Axioms used in derivation (0):
% 3.36/1.91 % No. of inferences in proof: 12
% 3.36/1.91 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1352 ms resp. 877 ms w/o parsing
% 3.36/1.96 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.36/1.96 % [INFO] Killing All external provers ...
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