TSTP Solution File: SEV055^5 by Leo-III---1.7.12
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.12
% Problem : SEV055^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n021.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 04:09:53 EDT 2024
% Result : Theorem 7.91s 2.69s
% Output : Refutation 8.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 5
% Syntax : Number of formulae : 16 ( 4 unt; 4 typ; 0 def)
% Number of atoms : 16 ( 1 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 179 ( 6 ~; 3 |; 12 &; 130 @)
% ( 0 <=>; 28 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 8 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 32 ( 32 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 66 ( 3 ^ 58 !; 5 ?; 66 :)
% Comments :
%------------------------------------------------------------------------------
thf(a_type,type,
a: $tType ).
thf(sk1_type,type,
sk1: a > a > $o ).
thf(sk2_type,type,
sk2: ( a > $o ) > a ).
thf(sk4_type,type,
sk4: a > a ).
thf(1,conjecture,
! [A: a > a > $o,B: ( a > $o ) > a] :
( ( ! [C: a,D: a,E: a] :
( ( ( A @ C @ D )
& ( A @ D @ E ) )
=> ( A @ C @ E ) )
& ! [C: a > $o] :
( ! [D: a] :
( ( C @ D )
=> ( A @ D @ ( B @ C ) ) )
& ! [D: a] :
( ! [E: a] :
( ( C @ E )
=> ( A @ E @ D ) )
=> ( A @ ( B @ C ) @ D ) ) ) )
=> ! [C: a > a] :
( ! [D: a,E: a] :
( ( A @ D @ E )
=> ( A @ ( C @ D ) @ ( C @ E ) ) )
=> ? [D: a] : ( A @ D @ ( C @ D ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM402_pme) ).
thf(2,negated_conjecture,
~ ! [A: a > a > $o,B: ( a > $o ) > a] :
( ( ! [C: a,D: a,E: a] :
( ( ( A @ C @ D )
& ( A @ D @ E ) )
=> ( A @ C @ E ) )
& ! [C: a > $o] :
( ! [D: a] :
( ( C @ D )
=> ( A @ D @ ( B @ C ) ) )
& ! [D: a] :
( ! [E: a] :
( ( C @ E )
=> ( A @ E @ D ) )
=> ( A @ ( B @ C ) @ D ) ) ) )
=> ! [C: a > a] :
( ! [D: a,E: a] :
( ( A @ D @ E )
=> ( A @ ( C @ D ) @ ( C @ E ) ) )
=> ? [D: a] : ( A @ D @ ( C @ D ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ! [A: a > a > $o,B: ( a > $o ) > a] :
( ( ! [C: a,D: a,E: a] :
( ( ( A @ C @ D )
& ( A @ D @ E ) )
=> ( A @ C @ E ) )
& ! [C: a > $o] :
( ! [D: a] :
( ( C @ D )
=> ( A @ D @ ( B @ C ) ) )
& ! [D: a] :
( ! [E: a] :
( ( C @ E )
=> ( A @ E @ D ) )
=> ( A @ ( B @ C ) @ D ) ) ) )
=> ! [C: a > a] :
( ! [D: a,E: a] :
( ( A @ D @ E )
=> ( A @ ( C @ D ) @ ( C @ E ) ) )
=> ? [D: a] : ( A @ D @ ( C @ D ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(4,plain,
~ ! [A: a > a > $o] :
( ( ! [B: a,C: a,D: a] :
( ( ( A @ B @ C )
& ( A @ C @ D ) )
=> ( A @ B @ D ) )
& ? [B: ( a > $o ) > a] :
( ! [C: a > $o,D: a] :
( ( C @ D )
=> ( A @ D @ ( B @ C ) ) )
& ! [C: a > $o,D: a] :
( ! [E: a] :
( ( C @ E )
=> ( A @ E @ D ) )
=> ( A @ ( B @ C ) @ D ) ) ) )
=> ! [B: a > a] :
( ! [C: a,D: a] :
( ( A @ C @ D )
=> ( A @ ( B @ C ) @ ( B @ D ) ) )
=> ? [C: a] : ( A @ C @ ( B @ C ) ) ) ),
inference(miniscope,[status(thm)],[3]) ).
thf(5,plain,
! [B: a,A: a > $o] :
( ( A @ ( sk3 @ B @ A ) )
| ( sk1 @ ( sk2 @ A ) @ B ) ),
inference(cnf,[status(esa)],[4]) ).
thf(11,plain,
! [B: a,A: a > $o] :
( ( A @ ( sk3 @ B @ A ) )
| ( sk1 @ ( sk2 @ A ) @ B ) ),
inference(simp,[status(thm)],[5]) ).
thf(194,plain,
! [A: a] :
( $false
| ( sk1
@ ( sk2
@ ^ [B: a] : $false )
@ A ) ),
inference(prim_subst,[status(thm)],[11:[bind(A,$thf( ^ [C: a] : $false ))]]) ).
thf(218,plain,
! [A: a] :
( sk1
@ ( sk2
@ ^ [B: a] : $false )
@ A ),
inference(simp,[status(thm)],[194]) ).
thf(9,plain,
! [A: a] :
~ ( sk1 @ A @ ( sk4 @ A ) ),
inference(cnf,[status(esa)],[4]) ).
thf(13,plain,
! [A: a] :
~ ( sk1 @ A @ ( sk4 @ A ) ),
inference(simp,[status(thm)],[9]) ).
thf(243,plain,
! [B: a,A: a] :
( ( sk1
@ ( sk2
@ ^ [C: a] : $false )
@ A )
!= ( sk1 @ B @ ( sk4 @ B ) ) ),
inference(paramod_ordered,[status(thm)],[218,13]) ).
thf(244,plain,
$false,
inference(pattern_uni,[status(thm)],[243:[bind(A,$thf( sk4 @ ( sk2 @ ^ [C: a] : $false ) )),bind(B,$thf( sk2 @ ^ [C: a] : $false ))]]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SEV055^5 : TPTP v8.2.0. Released v4.0.0.
% 0.07/0.17 % Command : run_Leo-III %s %d
% 0.16/0.38 % Computer : n021.cluster.edu
% 0.16/0.38 % Model : x86_64 x86_64
% 0.16/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.38 % Memory : 8042.1875MB
% 0.16/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.38 % CPULimit : 300
% 0.16/0.38 % WCLimit : 300
% 0.16/0.38 % DateTime : Sun May 19 18:41:24 EDT 2024
% 0.16/0.38 % CPUTime :
% 0.94/0.89 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.29/1.00 % [INFO] Parsing done (113ms).
% 1.29/1.01 % [INFO] Running in sequential loop mode.
% 1.70/1.25 % [INFO] eprover registered as external prover.
% 1.70/1.26 % [INFO] cvc4 registered as external prover.
% 1.70/1.26 % [INFO] Scanning for conjecture ...
% 1.70/1.33 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 1.93/1.35 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 1.93/1.35 % [INFO] Problem is higher-order (TPTP THF).
% 1.93/1.36 % [INFO] Type checking passed.
% 1.93/1.36 % [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 ...
% 7.91/2.69 % [INFO] Killing All external provers ...
% 7.91/2.69 % Time passed: 2153ms (effective reasoning time: 1670ms)
% 7.91/2.69 % 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)>
% 7.91/2.69 % Axioms used in derivation (0):
% 7.91/2.69 % No. of inferences in proof: 12
% 7.91/2.69 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 2153 ms resp. 1670 ms w/o parsing
% 8.04/2.74 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 8.04/2.74 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------