TSTP Solution File: SEV242^5 by Leo-III---1.7.15
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.15
% Problem : SEV242^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d THM
% Computer : n028.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 15:58:36 EDT 2024
% Result : Theorem 29.05s 7.85s
% Output : Refutation 29.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 1
% Syntax : Number of formulae : 29 ( 12 unt; 0 typ; 0 def)
% Number of atoms : 120 ( 48 equ; 0 cnn)
% Maximal formula atoms : 4 ( 4 avg)
% Number of connectives : 154 ( 25 ~; 36 |; 11 &; 73 @)
% ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 33 ( 33 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 52 ( 12 ^ 29 !; 11 ?; 52 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk2_type,type,
sk2: ( $i > $o ) > $o ).
thf(sk3_type,type,
sk3: $i > $o ).
thf(sk4_type,type,
sk4: $i > $o ).
thf(sk5_type,type,
sk5: $i ).
thf(sk7_type,type,
sk7: $i > $o ).
thf(1,conjecture,
( ! [A: $i > $o,B: $i > $o] :
( ! [C: $i] :
( ( A @ C )
= ( B @ C ) )
=> ( A = B ) )
=> ! [A: ( $i > $o ) > $o,B: $i > $o,C: $i > $o] :
( ( A
@ ^ [D: $i] :
? [E: $i > $o] :
( ( ( E = B )
| ( E = C ) )
& ( E @ D ) ) )
=> ( A
@ ^ [D: $i] :
( ( B @ D )
| ( C @ D ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM4A_pme) ).
thf(2,negated_conjecture,
~ ( ! [A: $i > $o,B: $i > $o] :
( ! [C: $i] :
( ( A @ C )
= ( B @ C ) )
=> ( A = B ) )
=> ! [A: ( $i > $o ) > $o,B: $i > $o,C: $i > $o] :
( ( A
@ ^ [D: $i] :
? [E: $i > $o] :
( ( ( E = B )
| ( E = C ) )
& ( E @ D ) ) )
=> ( A
@ ^ [D: $i] :
( ( B @ D )
| ( C @ D ) ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ( ! [A: $i > $o,B: $i > $o] :
( ! [C: $i] :
( ( A @ C )
= ( B @ C ) )
=> ( A = B ) )
=> ! [A: ( $i > $o ) > $o,B: $i > $o,C: $i > $o] :
( ( A
@ ^ [D: $i] :
? [E: $i > $o] :
( ( ( E = B )
| ( E = C ) )
& ( E @ D ) ) )
=> ( A
@ ^ [D: $i] :
( ( B @ D )
| ( C @ D ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(5,plain,
( sk2
@ ^ [A: $i] :
? [B: $i > $o] :
( ( ( B = sk3 )
| ( B = sk4 ) )
& ( B @ A ) ) ),
inference(cnf,[status(esa)],[3]) ).
thf(4,plain,
~ ( sk2
@ ^ [A: $i] :
( ( sk3 @ A )
| ( sk4 @ A ) ) ),
inference(cnf,[status(esa)],[3]) ).
thf(8,plain,
( ( sk2
@ ^ [A: $i] :
? [B: $i > $o] :
( ( ( B = sk3 )
| ( B = sk4 ) )
& ( B @ A ) ) )
!= ( sk2
@ ^ [A: $i] :
( ( sk3 @ A )
| ( sk4 @ A ) ) ) ),
inference(paramod_ordered,[status(thm)],[5,4]) ).
thf(9,plain,
( ( ^ [A: $i] :
? [B: $i > $o] :
( ( ( B = sk3 )
| ( B = sk4 ) )
& ( B @ A ) ) )
!= ( ^ [A: $i] :
( ( sk3 @ A )
| ( sk4 @ A ) ) ) ),
inference(simp,[status(thm)],[8]) ).
thf(10,plain,
( ( ? [A: $i > $o] :
( ( ( A = sk3 )
| ( A = sk4 ) )
& ( A @ sk5 ) ) )
!= ( ( sk3 @ sk5 )
| ( sk4 @ sk5 ) ) ),
inference(func_ext,[status(esa)],[9]) ).
thf(11,plain,
( ~ ? [A: $i > $o] :
( ( ( A = sk3 )
| ( A = sk4 ) )
& ( A @ sk5 ) )
| ~ ( ( sk3 @ sk5 )
| ( sk4 @ sk5 ) ) ),
inference(bool_ext,[status(thm)],[10]) ).
thf(13,plain,
! [A: $i > $o] :
( ~ ( sk4 @ sk5 )
| ( A != sk4 )
| ~ ( A @ sk5 ) ),
inference(cnf,[status(esa)],[11]) ).
thf(17,plain,
! [A: $i > $o] :
( ( A != sk4 )
| ~ ( sk4 @ sk5 )
| ~ ( A @ sk5 ) ),
inference(lifteq,[status(thm)],[13]) ).
thf(18,plain,
~ ( sk4 @ sk5 ),
inference(simp,[status(thm)],[17]) ).
thf(28,plain,
( ( ? [A: $i > $o] :
( ( ( A = sk3 )
| ( A = sk4 ) )
& ( A @ sk5 ) ) )
!= ( ( sk3 @ sk5 )
| $false ) ),
inference(rewrite,[status(thm)],[10,18]) ).
thf(29,plain,
( ( ? [A: $i > $o] :
( ( ( A = sk3 )
| ( A = sk4 ) )
& ( A @ sk5 ) ) )
!= ( sk3 @ sk5 ) ),
inference(simp,[status(thm)],[28]) ).
thf(16,plain,
! [A: $i > $o] :
( ~ ( sk3 @ sk5 )
| ( A != sk3 )
| ~ ( A @ sk5 ) ),
inference(cnf,[status(esa)],[11]) ).
thf(23,plain,
! [A: $i > $o] :
( ( A != sk3 )
| ~ ( sk3 @ sk5 )
| ~ ( A @ sk5 ) ),
inference(lifteq,[status(thm)],[16]) ).
thf(24,plain,
~ ( sk3 @ sk5 ),
inference(simp,[status(thm)],[23]) ).
thf(82,plain,
? [A: $i > $o] :
( ( ( A = sk3 )
| ( A = sk4 ) )
& ( A @ sk5 ) ),
inference(rewrite,[status(thm)],[29,24]) ).
thf(83,plain,
sk7 @ sk5,
inference(cnf,[status(esa)],[82]) ).
thf(84,plain,
( ( sk7 = sk3 )
| ( sk7 = sk4 ) ),
inference(cnf,[status(esa)],[82]) ).
thf(217,plain,
( ( sk7 = sk3 )
| ( sk7 = sk4 ) ),
inference(lifteq,[status(thm)],[84]) ).
thf(218,plain,
! [B: $i,A: $i] :
( ( ( sk7 @ A )
= ( sk3 @ A ) )
| ( ( sk7 @ B )
= ( sk4 @ B ) ) ),
inference(func_ext,[status(esa)],[217]) ).
thf(577,plain,
! [B: $i,A: $i] :
( ( ( sk7 @ A )
= ( sk3 @ A ) )
| ( sk4 @ B )
| ( ( sk7 @ B )
!= ( sk7 @ sk5 ) ) ),
inference(paramod_ordered,[status(thm)],[218,83]) ).
thf(578,plain,
! [A: $i] :
( ( ( sk7 @ A )
= ( sk3 @ A ) )
| ( sk4 @ sk5 ) ),
inference(pattern_uni,[status(thm)],[577:[bind(A,$thf( A )),bind(B,$thf( sk5 ))]]) ).
thf(610,plain,
! [A: $i] :
( ( ( sk7 @ A )
= ( sk3 @ A ) )
| $false ),
inference(rewrite,[status(thm)],[578,18]) ).
thf(611,plain,
! [A: $i] :
( ( sk7 @ A )
= ( sk3 @ A ) ),
inference(simp,[status(thm)],[610]) ).
thf(614,plain,
sk3 @ sk5,
inference(rewrite,[status(thm)],[83,611]) ).
thf(1092,plain,
$false,
inference(rewrite,[status(thm)],[614,24]) ).
thf(1093,plain,
$false,
inference(simp,[status(thm)],[1092]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.08 % Problem : SEV242^5 : TPTP v8.2.0. Released v4.0.0.
% 0.02/0.08 % Command : run_Leo-III %s %d THM
% 0.08/0.27 % Computer : n028.cluster.edu
% 0.08/0.27 % Model : x86_64 x86_64
% 0.08/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.27 % Memory : 8042.1875MB
% 0.08/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.27 % CPULimit : 300
% 0.08/0.27 % WCLimit : 300
% 0.08/0.27 % DateTime : Fri Jun 21 19:01:55 EDT 2024
% 0.08/0.27 % CPUTime :
% 0.94/0.92 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.30/1.08 % [INFO] Parsing done (163ms).
% 1.30/1.10 % [INFO] Running in sequential loop mode.
% 1.67/1.45 % [INFO] eprover registered as external prover.
% 1.67/1.45 % [INFO] Scanning for conjecture ...
% 2.03/1.54 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 2.03/1.57 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 2.03/1.57 % [INFO] Problem is higher-order (TPTP THF).
% 2.03/1.58 % [INFO] Type checking passed.
% 2.03/1.58 % [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 ...
% 29.05/7.85 % [INFO] Killing All external provers ...
% 29.05/7.85 % Time passed: 7400ms (effective reasoning time: 6748ms)
% 29.05/7.85 % 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)>
% 29.05/7.85 % Axioms used in derivation (0):
% 29.05/7.85 % No. of inferences in proof: 29
% 29.05/7.85 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 7400 ms resp. 6748 ms w/o parsing
% 29.05/7.88 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 29.05/7.88 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------