TSTP Solution File: SEU894^5 by Leo-III-SAT---1.7.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.12
% Problem : SEU894^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n018.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 03:44:10 EDT 2024
% Result : Theorem 3.18s 1.69s
% Output : Refutation 3.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 3
% Syntax : Number of formulae : 16 ( 9 unt; 2 typ; 0 def)
% Number of atoms : 27 ( 26 equ; 0 cnn)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 105 ( 10 ~; 1 |; 12 &; 66 @)
% ( 0 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 29 ( 29 >; 0 *; 0 +; 0 <<)
% Number of symbols : 4 ( 2 usr; 1 con; 0-2 aty)
% Number of variables : 51 ( 12 ^ 28 !; 11 ?; 51 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk1_type,type,
sk1: $i > $i ).
thf(sk3_type,type,
sk3: ( $i > $i ) > $i ).
thf(1,conjecture,
! [A: $i > $i] :
? [B: $i > $i] :
( ( ! [C: ( $i > $i ) > $o] :
( ( ( C @ A )
& ! [D: $i > $i] :
( ( C @ D )
=> ( C
@ ^ [E: $i] : ( A @ ( D @ E ) ) ) ) )
=> ( C @ B ) )
& ? [C: $i] :
( ( ( B @ C )
= C )
& ! [D: $i] :
( ( ( B @ D )
= D )
=> ( C = D ) ) ) )
=> ? [C: $i] :
( ( A @ C )
= C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM15_0_pme) ).
thf(2,negated_conjecture,
~ ! [A: $i > $i] :
? [B: $i > $i] :
( ( ! [C: ( $i > $i ) > $o] :
( ( ( C @ A )
& ! [D: $i > $i] :
( ( C @ D )
=> ( C
@ ^ [E: $i] : ( A @ ( D @ E ) ) ) ) )
=> ( C @ B ) )
& ? [C: $i] :
( ( ( B @ C )
= C )
& ! [D: $i] :
( ( ( B @ D )
= D )
=> ( C = D ) ) ) )
=> ? [C: $i] :
( ( A @ C )
= C ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ! [A: $i > $i] :
? [B: $i > $i] :
( ( ! [C: ( $i > $i ) > $o] :
( ( ( C @ A )
& ! [D: $i > $i] :
( ( C @ D )
=> ( C
@ ^ [E: $i] : ( A @ ( D @ E ) ) ) ) )
=> ( C @ B ) )
& ? [C: $i] :
( ( ( B @ C )
= C )
& ! [D: $i] :
( ( ( B @ D )
= D )
=> ( C = D ) ) ) )
=> ? [C: $i] :
( ( A @ C )
= C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(4,plain,
~ ! [A: $i > $i] :
( ( ! [B: $i > $i,C: ( $i > $i ) > $o] :
( ( ( C @ A )
& ! [D: $i > $i] :
( ( C @ D )
=> ( C
@ ^ [E: $i] : ( A @ ( D @ E ) ) ) ) )
=> ( C @ B ) )
& ! [B: $i > $i] :
? [C: $i] :
( ( ( B @ C )
= C )
& ! [D: $i] :
( ( ( B @ D )
= D )
=> ( C = D ) ) ) )
=> ? [B: $i] :
( ( A @ B )
= B ) ),
inference(miniscope,[status(thm)],[3]) ).
thf(7,plain,
! [A: $i > $i] :
( ( A @ ( sk3 @ A ) )
= ( sk3 @ A ) ),
inference(cnf,[status(esa)],[4]) ).
thf(16,plain,
! [A: $i > $i] :
( ( A @ ( sk3 @ A ) )
= ( sk3 @ A ) ),
inference(lifteq,[status(thm)],[7]) ).
thf(17,plain,
! [A: $i > $i] :
( ( A @ ( sk3 @ A ) )
= ( sk3 @ A ) ),
inference(simp,[status(thm)],[16]) ).
thf(5,plain,
! [A: $i] :
( ( sk1 @ A )
!= A ),
inference(cnf,[status(esa)],[4]) ).
thf(12,plain,
! [A: $i] :
( ( sk1 @ A )
!= A ),
inference(lifteq,[status(thm)],[5]) ).
thf(13,plain,
! [A: $i] :
( ( sk1 @ A )
!= A ),
inference(simp,[status(thm)],[12]) ).
thf(22,plain,
! [A: $i] :
( ( sk3
@ ^ [B: $i] : ( sk1 @ A ) )
!= ( sk3
@ ^ [B: $i] : A ) ),
inference(rewrite,[status(thm)],[13,17]) ).
thf(30,plain,
! [B: $i,A: $i > $i] :
( ( ( sk3
@ ^ [C: $i] : ( sk3 @ A ) )
!= ( sk3
@ ^ [C: $i] : B ) )
| ( ( A @ ( sk3 @ A ) )
!= ( sk1 @ B ) ) ),
inference(paramod_ordered,[status(thm)],[17,22]) ).
thf(32,plain,
! [A: $i > $i] :
( ( sk3
@ ^ [B: $i] :
( A
@ ( sk3
@ ^ [C: $i] : ( sk1 @ ( A @ C ) ) ) ) )
!= ( sk3
@ ^ [B: $i] :
( sk3
@ ^ [C: $i] : ( sk1 @ ( A @ C ) ) ) ) ),
inference(pre_uni,[status(thm)],[30:[bind(A,$thf( ^ [D: $i] : ( sk1 @ ( C @ D ) ) )),bind(B,$thf( C @ ( sk3 @ ^ [D: $i] : ( sk1 @ ( C @ D ) ) ) ))]]) ).
thf(33,plain,
$false,
inference(pre_uni,[status(thm)],[32:[bind(A,$thf( ^ [B: $i] : B ))]]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU894^5 : TPTP v8.2.0. Released v4.0.0.
% 0.16/0.15 % Command : run_Leo-III %s %d
% 0.16/0.37 % Computer : n018.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Sun May 19 17:50:09 EDT 2024
% 0.16/0.37 % CPUTime :
% 0.95/0.84 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.23/0.94 % [INFO] Parsing done (101ms).
% 1.23/0.95 % [INFO] Running in sequential loop mode.
% 1.58/1.17 % [INFO] nitpick registered as external prover.
% 1.58/1.17 % [INFO] Scanning for conjecture ...
% 1.70/1.22 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 1.88/1.25 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 1.88/1.25 % [INFO] Problem is higher-order (TPTP THF).
% 1.88/1.25 % [INFO] Type checking passed.
% 1.95/1.25 % [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 ...
% 3.18/1.68 % [INFO] Killing All external provers ...
% 3.18/1.69 % Time passed: 1154ms (effective reasoning time: 733ms)
% 3.18/1.69 % 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)>
% 3.18/1.69 % Axioms used in derivation (0):
% 3.18/1.69 % No. of inferences in proof: 14
% 3.18/1.69 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1154 ms resp. 733 ms w/o parsing
% 3.18/1.72 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.18/1.72 % [INFO] Killing All external provers ...
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