TSTP Solution File: SEV221^5 by Leo-III-SAT---1.7.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.12
% Problem : SEV221^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n012.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 04:11:08 EDT 2024
% Result : Theorem 125.24s 18.42s
% Output : Refutation 125.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 8
% Syntax : Number of formulae : 74 ( 12 unt; 7 typ; 0 def)
% Number of atoms : 267 ( 37 equ; 0 cnn)
% Maximal formula atoms : 5 ( 3 avg)
% Number of connectives : 485 ( 99 ~; 102 |; 50 &; 234 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 47 ( 47 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 74 ( 15 ^ 38 !; 21 ?; 74 :)
% Comments :
%------------------------------------------------------------------------------
thf(a_type,type,
a: $tType ).
thf(cZ_type,type,
cZ: a > $o ).
thf(cW_type,type,
cW: ( a > $o ) > $o ).
thf(sk1_type,type,
sk1: a ).
thf(sk2_type,type,
sk2: a > $o ).
thf(sk3_type,type,
sk3: a > $o ).
thf(sk4_type,type,
sk4: a > $o ).
thf(1,conjecture,
! [A: a] :
( ( ? [B: a > $o] :
( ( cW @ B )
& ( B @ A ) )
& ( cZ @ A ) )
= ( ? [B: a > $o] :
( ? [C: a > $o] :
( ( cW @ C )
& ( B
= ( ^ [D: a] :
( ( cZ @ D )
& ( C @ D ) ) ) ) )
& ( B @ A ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM61_pme) ).
thf(2,negated_conjecture,
~ ! [A: a] :
( ( ? [B: a > $o] :
( ( cW @ B )
& ( B @ A ) )
& ( cZ @ A ) )
= ( ? [B: a > $o] :
( ? [C: a > $o] :
( ( cW @ C )
& ( B
= ( ^ [D: a] :
( ( cZ @ D )
& ( C @ D ) ) ) ) )
& ( B @ A ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ! [A: a] :
( ( ? [B: a > $o] :
( ( cW @ B )
& ( B @ A ) )
& ( cZ @ A ) )
= ( ? [B: a > $o] :
( ? [C: a > $o] :
( ( cW @ C )
& ( B
= ( ^ [D: a] :
( ( cZ @ D )
& ( C @ D ) ) ) ) )
& ( B @ A ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(4,plain,
( ( ? [A: a > $o] :
( ( cW @ A )
& ( A @ sk1 ) )
& ( cZ @ sk1 ) )
!= ( ? [A: a > $o] :
( ? [B: a > $o] :
( ( cW @ B )
& ( A
= ( ^ [C: a] :
( ( cZ @ C )
& ( B @ C ) ) ) ) )
& ( A @ sk1 ) ) ) ),
inference(cnf,[status(esa)],[3]) ).
thf(5,plain,
( ( ? [A: a > $o] :
( ( cW @ A )
& ( A @ sk1 ) )
& ( cZ @ sk1 ) )
!= ( ? [A: a > $o] :
( ? [B: a > $o] :
( ( cW @ B )
& ( A
= ( ^ [C: a] :
( ( cZ @ C )
& ( B @ C ) ) ) ) )
& ( A @ sk1 ) ) ) ),
inference(lifteq,[status(thm)],[4]) ).
thf(7,plain,
( ( ? [A: a > $o] :
( ( cW @ A )
& ( A @ sk1 ) )
& ( cZ @ sk1 ) )
| ? [A: a > $o] :
( ? [B: a > $o] :
( ( cW @ B )
& ( A
= ( ^ [C: a] :
( ( cZ @ C )
& ( B @ C ) ) ) ) )
& ( A @ sk1 ) ) ),
inference(bool_ext,[status(thm)],[5]) ).
thf(19,plain,
( ( sk3
= ( ^ [A: a] :
( ( cZ @ A )
& ( sk4 @ A ) ) ) )
| ( sk2 @ sk1 ) ),
inference(cnf,[status(esa)],[7]) ).
thf(22,plain,
( ( ( ^ [A: a] :
( ( cZ @ A )
& ( sk4 @ A ) ) )
= sk3 )
| ( sk2 @ sk1 ) ),
inference(lifteq,[status(thm)],[19]) ).
thf(174,plain,
! [A: a] :
( ( ( ( cZ @ A )
& ( sk4 @ A ) )
= ( sk3 @ A ) )
| ( sk2 @ sk1 ) ),
inference(func_ext,[status(esa)],[22]) ).
thf(353,plain,
! [A: a] :
( ( sk2 @ sk1 )
| ( ( cZ @ A )
& ( sk4 @ A ) )
| ~ ( sk3 @ A ) ),
inference(bool_ext,[status(thm)],[174]) ).
thf(378,plain,
! [A: a] :
( ~ ( sk3 @ A )
| ( sk4 @ A )
| ( sk2 @ sk1 ) ),
inference(cnf,[status(esa)],[353]) ).
thf(12,plain,
( ( sk3 @ sk1 )
| ( cW @ sk2 ) ),
inference(cnf,[status(esa)],[7]) ).
thf(14,plain,
( ( sk3
= ( ^ [A: a] :
( ( cZ @ A )
& ( sk4 @ A ) ) ) )
| ( cW @ sk2 ) ),
inference(cnf,[status(esa)],[7]) ).
thf(20,plain,
( ( ( ^ [A: a] :
( ( cZ @ A )
& ( sk4 @ A ) ) )
= sk3 )
| ( cW @ sk2 ) ),
inference(lifteq,[status(thm)],[14]) ).
thf(167,plain,
! [A: a] :
( ( ( ( cZ @ A )
& ( sk4 @ A ) )
= ( sk3 @ A ) )
| ( cW @ sk2 ) ),
inference(func_ext,[status(esa)],[20]) ).
thf(248,plain,
! [A: a] :
( ( cW @ sk2 )
| ( ( cZ @ A )
& ( sk4 @ A ) )
| ~ ( sk3 @ A ) ),
inference(bool_ext,[status(thm)],[167]) ).
thf(263,plain,
! [A: a] :
( ~ ( sk3 @ A )
| ( sk4 @ A )
| ( cW @ sk2 ) ),
inference(cnf,[status(esa)],[248]) ).
thf(3201,plain,
! [A: a] :
( ( cW @ sk2 )
| ( sk4 @ A )
| ( ( sk3 @ sk1 )
!= ( sk3 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[12,263]) ).
thf(3202,plain,
( ( cW @ sk2 )
| ( sk4 @ sk1 ) ),
inference(pattern_uni,[status(thm)],[3201:[bind(A,$thf( sk1 ))]]) ).
thf(13,plain,
( ( cW @ sk4 )
| ( cW @ sk2 ) ),
inference(cnf,[status(esa)],[7]) ).
thf(6,plain,
( ~ ( ? [A: a > $o] :
( ( cW @ A )
& ( A @ sk1 ) )
& ( cZ @ sk1 ) )
| ~ ? [A: a > $o] :
( ? [B: a > $o] :
( ( cW @ B )
& ( A
= ( ^ [C: a] :
( ( cZ @ C )
& ( B @ C ) ) ) ) )
& ( A @ sk1 ) ) ),
inference(bool_ext,[status(thm)],[5]) ).
thf(8,plain,
! [C: a > $o,B: a > $o,A: a > $o] :
( ~ ( cW @ C )
| ( B
!= ( ^ [D: a] :
( ( cZ @ D )
& ( C @ D ) ) ) )
| ~ ( B @ sk1 )
| ~ ( cW @ A )
| ~ ( A @ sk1 )
| ~ ( cZ @ sk1 ) ),
inference(cnf,[status(esa)],[6]) ).
thf(9,plain,
! [C: a > $o,B: a > $o,A: a > $o] :
( ( B
!= ( ^ [D: a] :
( ( cZ @ D )
& ( C @ D ) ) ) )
| ~ ( cW @ C )
| ~ ( B @ sk1 )
| ~ ( cW @ A )
| ~ ( A @ sk1 )
| ~ ( cZ @ sk1 ) ),
inference(lifteq,[status(thm)],[8]) ).
thf(10,plain,
! [B: a > $o,A: a > $o] :
( ~ ( cW @ B )
| ~ ( ( cZ @ sk1 )
& ( B @ sk1 ) )
| ~ ( cW @ A )
| ~ ( A @ sk1 )
| ~ ( cZ @ sk1 ) ),
inference(simp,[status(thm)],[9]) ).
thf(23,plain,
! [B: a > $o,A: a > $o] :
( ~ ( cZ @ sk1 )
| ~ ( A @ sk1 )
| ~ ( cW @ A )
| ~ ( cZ @ sk1 )
| ~ ( B @ sk1 )
| ~ ( cW @ B ) ),
inference(cnf,[status(esa)],[10]) ).
thf(24,plain,
! [B: a > $o,A: a > $o] :
( ~ ( cZ @ sk1 )
| ~ ( A @ sk1 )
| ~ ( cW @ A )
| ~ ( B @ sk1 )
| ~ ( cW @ B ) ),
inference(simp,[status(thm)],[23]) ).
thf(45,plain,
! [B: a > $o,A: a > $o] :
( ~ ( cZ @ sk1 )
| ~ ( A @ sk1 )
| ~ ( cW @ A )
| ~ ( B @ sk1 )
| ( ( cW @ B )
!= ( cW @ A ) )
| ~ $true ),
inference(eqfactor_ordered,[status(thm)],[24]) ).
thf(85,plain,
! [A: a > $o] :
( ~ ( cZ @ sk1 )
| ~ ( A @ sk1 )
| ~ ( cW @ A )
| ~ ( A @ sk1 ) ),
inference(pattern_uni,[status(thm)],[45:[bind(A,$thf( B ))]]) ).
thf(107,plain,
! [A: a > $o] :
( ~ ( cZ @ sk1 )
| ~ ( A @ sk1 )
| ~ ( cW @ A ) ),
inference(simp,[status(thm)],[85]) ).
thf(191,plain,
! [A: a > $o] :
( ( cW @ sk2 )
| ~ ( cZ @ sk1 )
| ~ ( A @ sk1 )
| ( ( cW @ sk4 )
!= ( cW @ A ) ) ),
inference(paramod_ordered,[status(thm)],[13,107]) ).
thf(192,plain,
( ( cW @ sk2 )
| ~ ( cZ @ sk1 )
| ~ ( sk4 @ sk1 ) ),
inference(pattern_uni,[status(thm)],[191:[bind(A,$thf( sk4 ))]]) ).
thf(3272,plain,
( ( cW @ sk2 )
| ~ ( cZ @ sk1 )
| ( ( sk4 @ sk1 )
!= ( sk4 @ sk1 ) ) ),
inference(paramod_ordered,[status(thm)],[3202,192]) ).
thf(3273,plain,
( ( cW @ sk2 )
| ~ ( cZ @ sk1 ) ),
inference(pattern_uni,[status(thm)],[3272:[]]) ).
thf(3414,plain,
! [A: a > $o] :
( ~ ( cZ @ sk1 )
| ~ ( A @ sk1 )
| ( ( cW @ sk2 )
!= ( cW @ A ) ) ),
inference(paramod_ordered,[status(thm)],[3273,107]) ).
thf(3415,plain,
( ~ ( cZ @ sk1 )
| ~ ( sk2 @ sk1 ) ),
inference(pattern_uni,[status(thm)],[3414:[bind(A,$thf( sk2 ))]]) ).
thf(11,plain,
( ( sk3 @ sk1 )
| ( cZ @ sk1 ) ),
inference(cnf,[status(esa)],[7]) ).
thf(17,plain,
( ( sk3
= ( ^ [A: a] :
( ( cZ @ A )
& ( sk4 @ A ) ) ) )
| ( cZ @ sk1 ) ),
inference(cnf,[status(esa)],[7]) ).
thf(21,plain,
( ( ( ^ [A: a] :
( ( cZ @ A )
& ( sk4 @ A ) ) )
= sk3 )
| ( cZ @ sk1 ) ),
inference(lifteq,[status(thm)],[17]) ).
thf(169,plain,
! [A: a] :
( ( ( ( cZ @ A )
& ( sk4 @ A ) )
= ( sk3 @ A ) )
| ( cZ @ sk1 ) ),
inference(func_ext,[status(esa)],[21]) ).
thf(338,plain,
! [A: a] :
( ( cZ @ sk1 )
| ( ( cZ @ A )
& ( sk4 @ A ) )
| ~ ( sk3 @ A ) ),
inference(bool_ext,[status(thm)],[169]) ).
thf(350,plain,
! [A: a] :
( ~ ( sk3 @ A )
| ( sk4 @ A )
| ( cZ @ sk1 ) ),
inference(cnf,[status(esa)],[338]) ).
thf(28240,plain,
! [A: a] :
( ( cZ @ sk1 )
| ( sk4 @ A )
| ( ( sk3 @ sk1 )
!= ( sk3 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[11,350]) ).
thf(28241,plain,
( ( cZ @ sk1 )
| ( sk4 @ sk1 ) ),
inference(pattern_uni,[status(thm)],[28240:[bind(A,$thf( sk1 ))]]) ).
thf(28351,plain,
! [A: a] :
( ( cZ @ sk1 )
| ( ( cZ @ A )
= ( sk3 @ A ) )
| ( ( sk4 @ sk1 )
!= ( sk4 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[28241,169]) ).
thf(28352,plain,
( ( cZ @ sk1 )
| ( ( sk3 @ sk1 )
= ( cZ @ sk1 ) ) ),
inference(pattern_uni,[status(thm)],[28351:[bind(A,$thf( sk1 ))]]) ).
thf(28536,plain,
( ( cZ @ sk1 )
| ( ( sk3 @ sk1 )
!= ( sk3 @ sk1 ) ) ),
inference(paramod_ordered,[status(thm)],[28352,11]) ).
thf(28537,plain,
cZ @ sk1,
inference(pattern_uni,[status(thm)],[28536:[]]) ).
thf(29057,plain,
( ~ $true
| ~ ( sk2 @ sk1 ) ),
inference(rewrite,[status(thm)],[3415,28537]) ).
thf(29058,plain,
~ ( sk2 @ sk1 ),
inference(simp,[status(thm)],[29057]) ).
thf(29822,plain,
! [A: a] :
( ~ ( sk3 @ A )
| ( sk4 @ A )
| $false ),
inference(rewrite,[status(thm)],[378,29058]) ).
thf(29823,plain,
! [A: a] :
( ~ ( sk3 @ A )
| ( sk4 @ A ) ),
inference(simp,[status(thm)],[29822]) ).
thf(15,plain,
( ( cW @ sk4 )
| ( sk2 @ sk1 ) ),
inference(cnf,[status(esa)],[7]) ).
thf(202,plain,
! [A: a > $o] :
( ( cW @ sk4 )
| ~ ( cZ @ sk1 )
| ~ ( cW @ A )
| ( ( sk2 @ sk1 )
!= ( A @ sk1 ) ) ),
inference(paramod_ordered,[status(thm)],[15,107]) ).
thf(226,plain,
( ( cW @ sk4 )
| ~ ( cZ @ sk1 )
| ~ ( cW @ sk2 ) ),
inference(pre_uni,[status(thm)],[202:[bind(A,$thf( sk2 ))]]) ).
thf(543,plain,
! [A: a > $o] :
( ~ ( cZ @ sk1 )
| ~ ( cW @ sk2 )
| ~ ( A @ sk1 )
| ( ( cW @ sk4 )
!= ( cW @ A ) ) ),
inference(paramod_ordered,[status(thm)],[226,107]) ).
thf(544,plain,
( ~ ( cZ @ sk1 )
| ~ ( cW @ sk2 )
| ~ ( sk4 @ sk1 ) ),
inference(pattern_uni,[status(thm)],[543:[bind(A,$thf( sk4 ))]]) ).
thf(3400,plain,
( ~ ( cZ @ sk1 )
| ~ ( sk4 @ sk1 )
| ( ( cW @ sk2 )
!= ( cW @ sk2 ) ) ),
inference(paramod_ordered,[status(thm)],[3273,544]) ).
thf(3401,plain,
( ~ ( cZ @ sk1 )
| ~ ( sk4 @ sk1 ) ),
inference(pattern_uni,[status(thm)],[3400:[]]) ).
thf(29091,plain,
( ~ $true
| ~ ( sk4 @ sk1 ) ),
inference(rewrite,[status(thm)],[3401,28537]) ).
thf(29092,plain,
~ ( sk4 @ sk1 ),
inference(simp,[status(thm)],[29091]) ).
thf(29836,plain,
! [A: a] :
( ~ ( sk3 @ A )
| ( ( sk4 @ A )
!= ( sk4 @ sk1 ) ) ),
inference(paramod_ordered,[status(thm)],[29823,29092]) ).
thf(29837,plain,
~ ( sk3 @ sk1 ),
inference(pattern_uni,[status(thm)],[29836:[bind(A,$thf( sk1 ))]]) ).
thf(16,plain,
( ( sk3 @ sk1 )
| ( sk2 @ sk1 ) ),
inference(cnf,[status(esa)],[7]) ).
thf(29395,plain,
( ( sk3 @ sk1 )
| $false ),
inference(rewrite,[status(thm)],[16,29058]) ).
thf(29396,plain,
sk3 @ sk1,
inference(simp,[status(thm)],[29395]) ).
thf(29880,plain,
~ $true,
inference(rewrite,[status(thm)],[29837,29396]) ).
thf(29881,plain,
$false,
inference(simp,[status(thm)],[29880]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEV221^5 : TPTP v8.2.0. Released v4.0.0.
% 0.07/0.15 % Command : run_Leo-III %s %d
% 0.15/0.36 % Computer : n012.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Sun May 19 18:56:24 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.97/0.85 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.16/0.95 % [INFO] Parsing done (101ms).
% 1.16/0.96 % [INFO] Running in sequential loop mode.
% 1.61/1.18 % [INFO] nitpick registered as external prover.
% 1.61/1.18 % [INFO] Scanning for conjecture ...
% 1.76/1.23 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 1.76/1.25 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 1.76/1.25 % [INFO] Problem is higher-order (TPTP THF).
% 1.76/1.26 % [INFO] Type checking passed.
% 1.76/1.26 % [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 ...
% 125.24/18.40 % [INFO] Killing All external provers ...
% 125.24/18.41 % Time passed: 17883ms (effective reasoning time: 17438ms)
% 125.24/18.41 % 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)>
% 125.24/18.42 % Axioms used in derivation (0):
% 125.24/18.42 % No. of inferences in proof: 67
% 125.24/18.42 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 17883 ms resp. 17438 ms w/o parsing
% 125.29/18.46 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 125.29/18.46 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------