TSTP Solution File: SEV044^5 by Leo-III-SAT---1.7.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.12
% Problem : SEV044^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n007.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 04:10:49 EDT 2024
% Result : Theorem 7.09s 2.44s
% Output : Refutation 7.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 13
% Syntax : Number of formulae : 55 ( 7 unt; 12 typ; 0 def)
% Number of atoms : 116 ( 8 equ; 0 cnn)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 536 ( 59 ~; 60 |; 12 &; 372 @)
% ( 0 <=>; 33 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 7 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 36 ( 36 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 10 usr; 5 con; 0-3 aty)
% Number of variables : 88 ( 0 ^ 88 !; 0 ?; 88 :)
% Comments :
%------------------------------------------------------------------------------
thf(b_type,type,
b: $tType ).
thf(a_type,type,
a: $tType ).
thf(sk1_type,type,
sk1: b > $o ).
thf(sk2_type,type,
sk2: b > a > a > $o ).
thf(sk3_type,type,
sk3: $o ).
thf(sk4_type,type,
sk4: b > a ).
thf(sk5_type,type,
sk5: b > a ).
thf(sk6_type,type,
sk6: b ).
thf(sk7_type,type,
sk7: b > a ).
thf(sk8_type,type,
sk8: b > a ).
thf(sk9_type,type,
sk9: b > a ).
thf(sk10_type,type,
sk10: b ).
thf(1,conjecture,
! [A: b > $o,B: b > a > a > $o] :
( ! [C: b] :
( ( A @ C )
=> ( ! [D: a,E: a] :
( ( B @ C @ D @ E )
=> ( B @ C @ E @ D ) )
& ! [D: a,E: a,F: a] :
( ( ( B @ C @ D @ E )
& ( B @ C @ E @ F ) )
=> ( B @ C @ D @ F ) ) ) )
=> ( ! [C: b > a,D: b > a] :
( ! [E: b] :
( ( A @ E )
=> ( B @ E @ ( C @ E ) @ ( D @ E ) ) )
=> ! [E: b] :
( ( A @ E )
=> ( B @ E @ ( D @ E ) @ ( C @ E ) ) ) )
& ! [C: b > a,D: b > a,E: b > a] :
( ( ! [F: b] :
( ( A @ F )
=> ( B @ F @ ( C @ F ) @ ( D @ F ) ) )
& ! [F: b] :
( ( A @ F )
=> ( B @ F @ ( D @ F ) @ ( E @ F ) ) ) )
=> ! [F: b] :
( ( A @ F )
=> ( B @ F @ ( C @ F ) @ ( E @ F ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM506_pme) ).
thf(2,negated_conjecture,
~ ! [A: b > $o,B: b > a > a > $o] :
( ! [C: b] :
( ( A @ C )
=> ( ! [D: a,E: a] :
( ( B @ C @ D @ E )
=> ( B @ C @ E @ D ) )
& ! [D: a,E: a,F: a] :
( ( ( B @ C @ D @ E )
& ( B @ C @ E @ F ) )
=> ( B @ C @ D @ F ) ) ) )
=> ( ! [C: b > a,D: b > a] :
( ! [E: b] :
( ( A @ E )
=> ( B @ E @ ( C @ E ) @ ( D @ E ) ) )
=> ! [E: b] :
( ( A @ E )
=> ( B @ E @ ( D @ E ) @ ( C @ E ) ) ) )
& ! [C: b > a,D: b > a,E: b > a] :
( ( ! [F: b] :
( ( A @ F )
=> ( B @ F @ ( C @ F ) @ ( D @ F ) ) )
& ! [F: b] :
( ( A @ F )
=> ( B @ F @ ( D @ F ) @ ( E @ F ) ) ) )
=> ! [F: b] :
( ( A @ F )
=> ( B @ F @ ( C @ F ) @ ( E @ F ) ) ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ! [A: b > $o,B: b > a > a > $o] :
( ! [C: b] :
( ( A @ C )
=> ( ! [D: a,E: a] :
( ( B @ C @ D @ E )
=> ( B @ C @ E @ D ) )
& ! [D: a,E: a,F: a] :
( ( ( B @ C @ D @ E )
& ( B @ C @ E @ F ) )
=> ( B @ C @ D @ F ) ) ) )
=> ( ! [C: b > a,D: b > a] :
( ! [E: b] :
( ( A @ E )
=> ( B @ E @ ( C @ E ) @ ( D @ E ) ) )
=> ! [E: b] :
( ( A @ E )
=> ( B @ E @ ( D @ E ) @ ( C @ E ) ) ) )
& ! [C: b > a,D: b > a,E: b > a] :
( ( ! [F: b] :
( ( A @ F )
=> ( B @ F @ ( C @ F ) @ ( D @ F ) ) )
& ! [F: b] :
( ( A @ F )
=> ( B @ F @ ( D @ F ) @ ( E @ F ) ) ) )
=> ! [F: b] :
( ( A @ F )
=> ( B @ F @ ( C @ F ) @ ( E @ F ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(4,plain,
( sk3
| ( sk1 @ sk10 ) ),
inference(cnf,[status(esa)],[3]) ).
thf(10,plain,
( ( sk1 @ sk6 )
| ~ sk3 ),
inference(cnf,[status(esa)],[3]) ).
thf(6,plain,
! [A: b] :
( ~ ( sk1 @ A )
| ( sk2 @ A @ ( sk4 @ A ) @ ( sk5 @ A ) )
| ~ sk3 ),
inference(cnf,[status(esa)],[3]) ).
thf(14,plain,
! [A: b] :
( ~ ( sk1 @ A )
| ( sk2 @ A @ ( sk4 @ A ) @ ( sk5 @ A ) )
| ~ sk3 ),
inference(simp,[status(thm)],[6]) ).
thf(11,plain,
! [C: a,B: a,A: b] :
( ~ ( sk1 @ A )
| ~ ( sk2 @ A @ B @ C )
| ( sk2 @ A @ C @ B ) ),
inference(cnf,[status(esa)],[3]) ).
thf(8,plain,
( ~ ( sk2 @ sk6 @ ( sk5 @ sk6 ) @ ( sk4 @ sk6 ) )
| ~ sk3 ),
inference(cnf,[status(esa)],[3]) ).
thf(94,plain,
! [C: a,B: a,A: b] :
( ~ ( sk1 @ A )
| ~ ( sk2 @ A @ B @ C )
| ~ sk3
| ( ( sk2 @ A @ C @ B )
!= ( sk2 @ sk6 @ ( sk5 @ sk6 ) @ ( sk4 @ sk6 ) ) ) ),
inference(paramod_ordered,[status(thm)],[11,8]) ).
thf(95,plain,
( ~ ( sk1 @ sk6 )
| ~ ( sk2 @ sk6 @ ( sk4 @ sk6 ) @ ( sk5 @ sk6 ) )
| ~ sk3 ),
inference(pattern_uni,[status(thm)],[94:[bind(A,$thf( sk6 )),bind(B,$thf( sk4 @ sk6 )),bind(C,$thf( sk5 @ sk6 ))]]) ).
thf(110,plain,
( ~ sk3
| ~ ( sk2 @ sk6 @ ( sk4 @ sk6 ) @ ( sk5 @ sk6 ) )
| ( ( sk1 @ sk6 )
!= ( sk1 @ sk6 ) ) ),
inference(paramod_ordered,[status(thm)],[10,95]) ).
thf(111,plain,
( ~ sk3
| ~ ( sk2 @ sk6 @ ( sk4 @ sk6 ) @ ( sk5 @ sk6 ) ) ),
inference(pattern_uni,[status(thm)],[110:[]]) ).
thf(192,plain,
! [A: b] :
( ~ ( sk1 @ A )
| ~ sk3
| ( ( sk2 @ A @ ( sk4 @ A ) @ ( sk5 @ A ) )
!= ( sk2 @ sk6 @ ( sk4 @ sk6 ) @ ( sk5 @ sk6 ) ) ) ),
inference(paramod_ordered,[status(thm)],[14,111]) ).
thf(193,plain,
( ~ ( sk1 @ sk6 )
| ~ sk3 ),
inference(pattern_uni,[status(thm)],[192:[bind(A,$thf( sk6 ))]]) ).
thf(205,plain,
( ~ sk3
| ( ( sk1 @ sk6 )
!= ( sk1 @ sk6 ) ) ),
inference(paramod_ordered,[status(thm)],[10,193]) ).
thf(206,plain,
~ sk3,
inference(pattern_uni,[status(thm)],[205:[]]) ).
thf(214,plain,
( $false
| ( sk1 @ sk10 ) ),
inference(rewrite,[status(thm)],[4,206]) ).
thf(215,plain,
sk1 @ sk10,
inference(simp,[status(thm)],[214]) ).
thf(7,plain,
! [A: b] :
( sk3
| ~ ( sk1 @ A )
| ( sk2 @ A @ ( sk8 @ A ) @ ( sk9 @ A ) ) ),
inference(cnf,[status(esa)],[3]) ).
thf(16,plain,
! [A: b] :
( sk3
| ~ ( sk1 @ A )
| ( sk2 @ A @ ( sk8 @ A ) @ ( sk9 @ A ) ) ),
inference(simp,[status(thm)],[7]) ).
thf(254,plain,
! [A: b] :
( $false
| ~ ( sk1 @ A )
| ( sk2 @ A @ ( sk8 @ A ) @ ( sk9 @ A ) ) ),
inference(rewrite,[status(thm)],[16,206]) ).
thf(255,plain,
! [A: b] :
( ~ ( sk1 @ A )
| ( sk2 @ A @ ( sk8 @ A ) @ ( sk9 @ A ) ) ),
inference(simp,[status(thm)],[254]) ).
thf(263,plain,
! [A: b] :
( ( sk2 @ A @ ( sk8 @ A ) @ ( sk9 @ A ) )
| ( ( sk1 @ sk10 )
!= ( sk1 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[215,255]) ).
thf(264,plain,
sk2 @ sk10 @ ( sk8 @ sk10 ) @ ( sk9 @ sk10 ),
inference(pattern_uni,[status(thm)],[263:[bind(A,$thf( sk10 ))]]) ).
thf(9,plain,
! [A: b] :
( sk3
| ~ ( sk1 @ A )
| ( sk2 @ A @ ( sk7 @ A ) @ ( sk8 @ A ) ) ),
inference(cnf,[status(esa)],[3]) ).
thf(15,plain,
! [A: b] :
( sk3
| ~ ( sk1 @ A )
| ( sk2 @ A @ ( sk7 @ A ) @ ( sk8 @ A ) ) ),
inference(simp,[status(thm)],[9]) ).
thf(61,plain,
! [A: b] :
( sk3
| ( sk2 @ A @ ( sk7 @ A ) @ ( sk8 @ A ) )
| ( ( sk1 @ sk10 )
!= ( sk1 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[4,15]) ).
thf(62,plain,
( sk3
| ( sk2 @ sk10 @ ( sk7 @ sk10 ) @ ( sk8 @ sk10 ) ) ),
inference(pattern_uni,[status(thm)],[61:[bind(A,$thf( sk10 ))]]) ).
thf(5,plain,
! [D: a,C: a,B: a,A: b] :
( ~ ( sk1 @ A )
| ~ ( sk2 @ A @ B @ C )
| ~ ( sk2 @ A @ C @ D )
| ( sk2 @ A @ B @ D ) ),
inference(cnf,[status(esa)],[3]) ).
thf(13,plain,
! [D: a,C: a,B: a,A: b] :
( ~ ( sk1 @ A )
| ~ ( sk2 @ A @ B @ C )
| ~ ( sk2 @ A @ C @ D )
| ( sk2 @ A @ B @ D ) ),
inference(simp,[status(thm)],[5]) ).
thf(67,plain,
! [D: a,C: a,B: a,A: b] :
( sk3
| ~ ( sk1 @ A )
| ~ ( sk2 @ A @ C @ D )
| ( sk2 @ A @ B @ D )
| ( ( sk2 @ sk10 @ ( sk7 @ sk10 ) @ ( sk8 @ sk10 ) )
!= ( sk2 @ A @ B @ C ) ) ),
inference(paramod_ordered,[status(thm)],[62,13]) ).
thf(68,plain,
! [A: a] :
( sk3
| ~ ( sk1 @ sk10 )
| ~ ( sk2 @ sk10 @ ( sk8 @ sk10 ) @ A )
| ( sk2 @ sk10 @ ( sk7 @ sk10 ) @ A ) ),
inference(pattern_uni,[status(thm)],[67:[bind(A,$thf( sk10 )),bind(B,$thf( sk7 @ sk10 )),bind(C,$thf( sk8 @ sk10 )),bind(D,$thf( D ))]]) ).
thf(76,plain,
! [A: a] :
( sk3
| ~ ( sk1 @ sk10 )
| ~ ( sk2 @ sk10 @ ( sk8 @ sk10 ) @ A )
| ( sk2 @ sk10 @ ( sk7 @ sk10 ) @ A ) ),
inference(simp,[status(thm)],[68]) ).
thf(509,plain,
! [A: a] :
( $false
| ~ $true
| ~ ( sk2 @ sk10 @ ( sk8 @ sk10 ) @ A )
| ( sk2 @ sk10 @ ( sk7 @ sk10 ) @ A ) ),
inference(rewrite,[status(thm)],[76,215,206]) ).
thf(510,plain,
! [A: a] :
( ~ ( sk2 @ sk10 @ ( sk8 @ sk10 ) @ A )
| ( sk2 @ sk10 @ ( sk7 @ sk10 ) @ A ) ),
inference(simp,[status(thm)],[509]) ).
thf(524,plain,
! [A: a] :
( ( sk2 @ sk10 @ ( sk7 @ sk10 ) @ A )
| ( ( sk2 @ sk10 @ ( sk8 @ sk10 ) @ ( sk9 @ sk10 ) )
!= ( sk2 @ sk10 @ ( sk8 @ sk10 ) @ A ) ) ),
inference(paramod_ordered,[status(thm)],[264,510]) ).
thf(525,plain,
sk2 @ sk10 @ ( sk7 @ sk10 ) @ ( sk9 @ sk10 ),
inference(pattern_uni,[status(thm)],[524:[bind(A,$thf( sk9 @ sk10 ))]]) ).
thf(12,plain,
( sk3
| ~ ( sk2 @ sk10 @ ( sk7 @ sk10 ) @ ( sk9 @ sk10 ) ) ),
inference(cnf,[status(esa)],[3]) ).
thf(212,plain,
( $false
| ~ ( sk2 @ sk10 @ ( sk7 @ sk10 ) @ ( sk9 @ sk10 ) ) ),
inference(rewrite,[status(thm)],[12,206]) ).
thf(213,plain,
~ ( sk2 @ sk10 @ ( sk7 @ sk10 ) @ ( sk9 @ sk10 ) ),
inference(simp,[status(thm)],[212]) ).
thf(718,plain,
$false,
inference(rewrite,[status(thm)],[525,213]) ).
thf(719,plain,
$false,
inference(simp,[status(thm)],[718]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEV044^5 : TPTP v8.2.0. Released v4.0.0.
% 0.15/0.16 % Command : run_Leo-III %s %d
% 0.15/0.37 % Computer : n007.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Sun May 19 18:24:09 EDT 2024
% 0.15/0.37 % CPUTime :
% 0.96/0.87 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.16/0.97 % [INFO] Parsing done (101ms).
% 1.29/0.98 % [INFO] Running in sequential loop mode.
% 1.55/1.17 % [INFO] nitpick registered as external prover.
% 1.66/1.18 % [INFO] Scanning for conjecture ...
% 1.66/1.24 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 1.89/1.26 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 1.89/1.26 % [INFO] Problem is higher-order (TPTP THF).
% 1.89/1.27 % [INFO] Type checking passed.
% 1.89/1.27 % [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 ...
% 7.09/2.44 % [INFO] Killing All external provers ...
% 7.09/2.44 % Time passed: 1902ms (effective reasoning time: 1458ms)
% 7.09/2.44 % 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)>
% 7.09/2.44 % Axioms used in derivation (0):
% 7.09/2.44 % No. of inferences in proof: 43
% 7.09/2.44 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1902 ms resp. 1458 ms w/o parsing
% 7.09/2.48 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 7.09/2.48 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------