TSTP Solution File: SEU920^5 by Leo-III---1.7.12
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.12
% Problem : SEU920^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n015.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 03:40:27 EDT 2024
% Result : Theorem 2.73s 1.55s
% Output : Refutation 2.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of formulae : 18 ( 7 unt; 7 typ; 0 def)
% Number of atoms : 15 ( 14 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 34 ( 8 ~; 1 |; 0 &; 22 @)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Number of types : 3 ( 3 usr)
% Number of type conns : 9 ( 9 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 26 ( 0 ^ 20 !; 6 ?; 26 :)
% Comments :
%------------------------------------------------------------------------------
thf(a_type,type,
a: $tType ).
thf(b_type,type,
b: $tType ).
thf(c_type,type,
c: $tType ).
thf(sk1_type,type,
sk1: a > b ).
thf(sk2_type,type,
sk2: b > c ).
thf(sk3_type,type,
sk3: c > a ).
thf(sk4_type,type,
sk4: c ).
thf(1,conjecture,
! [A: a > b,B: b > c] :
( ! [C: c] :
? [D: a] :
( ( B @ ( A @ D ) )
= C )
=> ! [C: c] :
? [D: b] :
( ( B @ D )
= C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cFN_THM_4_pme) ).
thf(2,negated_conjecture,
~ ! [A: a > b,B: b > c] :
( ! [C: c] :
? [D: a] :
( ( B @ ( A @ D ) )
= C )
=> ! [C: c] :
? [D: b] :
( ( B @ D )
= C ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ! [A: a > b,B: b > c] :
( ! [C: c] :
? [D: a] :
( ( B @ ( A @ D ) )
= C )
=> ! [C: c] :
? [D: b] :
( ( B @ D )
= C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(5,plain,
! [A: c] :
( ( sk2 @ ( sk1 @ ( sk3 @ A ) ) )
= A ),
inference(cnf,[status(esa)],[3]) ).
thf(8,plain,
! [A: c] :
( ( sk2 @ ( sk1 @ ( sk3 @ A ) ) )
= A ),
inference(lifteq,[status(thm)],[5]) ).
thf(4,plain,
! [A: b] :
( ( sk2 @ A )
!= sk4 ),
inference(cnf,[status(esa)],[3]) ).
thf(6,plain,
! [A: b] :
( ( sk2 @ A )
!= sk4 ),
inference(lifteq,[status(thm)],[4]) ).
thf(7,plain,
! [A: b] :
( ( sk2 @ A )
!= sk4 ),
inference(simp,[status(thm)],[6]) ).
thf(9,plain,
! [B: b,A: c] :
( ( A != sk4 )
| ( ( sk2 @ ( sk1 @ ( sk3 @ A ) ) )
!= ( sk2 @ B ) ) ),
inference(paramod_ordered,[status(thm)],[8,7]) ).
thf(10,plain,
! [A: c] : ( A != sk4 ),
inference(pattern_uni,[status(thm)],[9:[bind(A,$thf( D )),bind(B,$thf( sk1 @ ( sk3 @ D ) ))]]) ).
thf(11,plain,
$false,
inference(simp,[status(thm)],[10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU920^5 : TPTP v8.2.0. Released v4.0.0.
% 0.07/0.15 % Command : run_Leo-III %s %d
% 0.15/0.36 % Computer : n015.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 17:09:09 EDT 2024
% 0.15/0.37 % CPUTime :
% 0.94/0.86 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.18/0.95 % [INFO] Parsing done (90ms).
% 1.18/0.96 % [INFO] Running in sequential loop mode.
% 1.53/1.16 % [INFO] eprover registered as external prover.
% 1.64/1.16 % [INFO] cvc4 registered as external prover.
% 1.64/1.16 % [INFO] Scanning for conjecture ...
% 1.64/1.21 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 1.64/1.23 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 1.64/1.23 % [INFO] Problem is higher-order (TPTP THF).
% 1.64/1.23 % [INFO] Type checking passed.
% 1.64/1.23 % [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 ...
% 2.73/1.54 % [INFO] Killing All external provers ...
% 2.73/1.55 % Time passed: 1016ms (effective reasoning time: 580ms)
% 2.73/1.55 % 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)>
% 2.73/1.55 % Axioms used in derivation (0):
% 2.73/1.55 % No. of inferences in proof: 11
% 2.73/1.55 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1016 ms resp. 580 ms w/o parsing
% 2.73/1.57 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.73/1.57 % [INFO] Killing All external provers ...
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