TSTP Solution File: SEV177^5 by Leo-III-SAT---1.7.15
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%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.15
% Problem : SEV177^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d SAT
% Computer : n032.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 : Mon Jun 24 15:59:41 EDT 2024
% Result : Theorem 4.24s 1.71s
% Output : Refutation 4.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 1
% Syntax : Number of formulae : 15 ( 10 unt; 0 typ; 0 def)
% Number of atoms : 32 ( 16 equ; 0 cnn)
% Maximal formula atoms : 2 ( 2 avg)
% Number of connectives : 82 ( 14 ~; 7 |; 7 &; 51 @)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 20 ( 20 >; 0 *; 0 +; 0 <<)
% Number of symbols : 4 ( 2 usr; 1 con; 0-2 aty)
% Number of variables : 26 ( 5 ^ 14 !; 7 ?; 26 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk1_type,type,
sk1: ( $i > $o ) > $i ).
thf(sk2_type,type,
sk2: $i > $o ).
thf(1,conjecture,
! [A: ( $i > $o ) > $i,B: $i > $o] :
( ( B
= ( ^ [C: $i] :
? [D: $i > $o] :
( ~ ( D @ ( A @ D ) )
& ( C
= ( A @ D ) ) ) ) )
=> ( B @ ( A @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM144_pme) ).
thf(2,negated_conjecture,
~ ! [A: ( $i > $o ) > $i,B: $i > $o] :
( ( B
= ( ^ [C: $i] :
? [D: $i > $o] :
( ~ ( D @ ( A @ D ) )
& ( C
= ( A @ D ) ) ) ) )
=> ( B @ ( A @ B ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ! [A: ( $i > $o ) > $i,B: $i > $o] :
( ( B
= ( ^ [C: $i] :
? [D: $i > $o] :
( ~ ( D @ ( A @ D ) )
& ( C
= ( A @ D ) ) ) ) )
=> ( B @ ( A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(5,plain,
( sk2
= ( ^ [A: $i] :
? [B: $i > $o] :
( ~ ( B @ ( sk1 @ B ) )
& ( A
= ( sk1 @ B ) ) ) ) ),
inference(cnf,[status(esa)],[3]) ).
thf(6,plain,
( sk2
= ( ^ [A: $i] :
? [B: $i > $o] :
( ~ ( B @ ( sk1 @ B ) )
& ( A
= ( sk1 @ B ) ) ) ) ),
inference(lifteq,[status(thm)],[5]) ).
thf(7,plain,
! [A: $i] :
( ( sk2 @ A )
= ( ? [B: $i > $o] :
( ~ ( B @ ( sk1 @ B ) )
& ( A
= ( sk1 @ B ) ) ) ) ),
inference(func_ext,[status(esa)],[6]) ).
thf(13,plain,
! [A: $i] :
( ( sk2 @ A )
| ~ ? [B: $i > $o] :
( ~ ( B @ ( sk1 @ B ) )
& ( A
= ( sk1 @ B ) ) ) ),
inference(bool_ext,[status(thm)],[7]) ).
thf(23,plain,
! [B: $i > $o,A: $i] :
( ( B @ ( sk1 @ B ) )
| ( A
!= ( sk1 @ B ) )
| ( sk2 @ A ) ),
inference(cnf,[status(esa)],[13]) ).
thf(24,plain,
! [B: $i > $o,A: $i] :
( ( A
!= ( sk1 @ B ) )
| ( B @ ( sk1 @ B ) )
| ( sk2 @ A ) ),
inference(lifteq,[status(thm)],[23]) ).
thf(25,plain,
! [A: $i > $o] :
( ( A @ ( sk1 @ A ) )
| ( sk2 @ ( sk1 @ A ) ) ),
inference(simp,[status(thm)],[24]) ).
thf(4,plain,
~ ( sk2 @ ( sk1 @ sk2 ) ),
inference(cnf,[status(esa)],[3]) ).
thf(76,plain,
! [A: $i > $o] :
( ( A @ ( sk1 @ A ) )
| ( ( sk2 @ ( sk1 @ A ) )
!= ( sk2 @ ( sk1 @ sk2 ) ) ) ),
inference(paramod_ordered,[status(thm)],[25,4]) ).
thf(77,plain,
sk2 @ ( sk1 @ sk2 ),
inference(pattern_uni,[status(thm)],[76:[bind(A,$thf( sk2 ))]]) ).
thf(135,plain,
$false,
inference(rewrite,[status(thm)],[77,4]) ).
thf(136,plain,
$false,
inference(simp,[status(thm)],[135]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SEV177^5 : TPTP v8.2.0. Released v4.0.0.
% 0.00/0.09 % Command : run_Leo-III %s %d SAT
% 0.08/0.28 % Computer : n032.cluster.edu
% 0.08/0.28 % Model : x86_64 x86_64
% 0.08/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28 % Memory : 8042.1875MB
% 0.08/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28 % CPULimit : 300
% 0.08/0.28 % WCLimit : 300
% 0.08/0.28 % DateTime : Fri Jun 21 19:29:25 EDT 2024
% 0.13/0.28 % CPUTime :
% 0.65/0.66 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.77/0.75 % [INFO] Parsing done (92ms).
% 0.77/0.76 % [INFO] Running in sequential loop mode.
% 1.23/0.95 % [INFO] nitpick registered as external prover.
% 1.23/0.96 % [INFO] Scanning for conjecture ...
% 1.41/1.00 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 1.41/1.02 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 1.41/1.02 % [INFO] Problem is higher-order (TPTP THF).
% 1.41/1.02 % [INFO] Type checking passed.
% 1.41/1.02 % [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 ...
% 4.24/1.70 % [INFO] Killing All external provers ...
% 4.24/1.71 % Time passed: 1302ms (effective reasoning time: 939ms)
% 4.24/1.71 % 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)>
% 4.24/1.71 % Axioms used in derivation (0):
% 4.24/1.71 % No. of inferences in proof: 15
% 4.24/1.71 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1302 ms resp. 939 ms w/o parsing
% 4.24/1.73 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 4.24/1.73 % [INFO] Killing All external provers ...
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