TSTP Solution File: SEV393^5 by Leo-III-SAT---1.7.15
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%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.15
% Problem : SEV393^5 : 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 16:00:09 EDT 2024
% Result : Theorem 2.17s 1.41s
% Output : Refutation 2.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 1
% Syntax : Number of formulae : 14 ( 8 unt; 0 typ; 0 def)
% Number of atoms : 51 ( 7 equ; 0 cnn)
% Maximal formula atoms : 4 ( 3 avg)
% Number of connectives : 71 ( 6 ~; 10 |; 7 &; 42 @)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 5 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 17 ( 10 ^ 7 !; 0 ?; 17 :)
% Comments :
%------------------------------------------------------------------------------
thf(cS_type,type,
cS: $i > $o ).
thf(cR_type,type,
cR: $i > $o ).
thf(sk1_type,type,
sk1: $i ).
thf(1,conjecture,
( ( ( ^ [A: $i] :
( ( cR @ A )
| ( cS @ A ) ) )
= ( ^ [A: $i] :
( ( cR @ A )
& ( cS @ A ) ) ) )
=> ! [A: $i] :
( ( cR @ A )
=> ( cS @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM39_pme) ).
thf(2,negated_conjecture,
~ ( ( ( ^ [A: $i] :
( ( cR @ A )
| ( cS @ A ) ) )
= ( ^ [A: $i] :
( ( cR @ A )
& ( cS @ A ) ) ) )
=> ! [A: $i] :
( ( cR @ A )
=> ( cS @ A ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ( ( ( ^ [A: $i] :
( ( cR @ A )
| ( cS @ A ) ) )
= ( ^ [A: $i] :
( ( cR @ A )
& ( cS @ A ) ) ) )
=> ! [A: $i] :
( ( cR @ A )
=> ( cS @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(5,plain,
cR @ sk1,
inference(cnf,[status(esa)],[3]) ).
thf(6,plain,
( ( ^ [A: $i] :
( ( cR @ A )
| ( cS @ A ) ) )
= ( ^ [A: $i] :
( ( cR @ A )
& ( cS @ A ) ) ) ),
inference(cnf,[status(esa)],[3]) ).
thf(7,plain,
( ( ^ [A: $i] :
( ( cR @ A )
& ( cS @ A ) ) )
= ( ^ [A: $i] :
( ( cR @ A )
| ( cS @ A ) ) ) ),
inference(lifteq,[status(thm)],[6]) ).
thf(8,plain,
! [A: $i] :
( ( ( cR @ A )
& ( cS @ A ) )
= ( ( cR @ A )
| ( cS @ A ) ) ),
inference(func_ext,[status(esa)],[7]) ).
thf(12,plain,
! [A: $i] :
( ( ( cR @ A )
& ( cS @ A ) )
| ~ ( ( cR @ A )
| ( cS @ A ) ) ),
inference(bool_ext,[status(thm)],[8]) ).
thf(19,plain,
! [A: $i] :
( ~ ( cR @ A )
| ( cS @ A ) ),
inference(cnf,[status(esa)],[12]) ).
thf(22,plain,
! [A: $i] :
( ( cS @ A )
| ( ( cR @ sk1 )
!= ( cR @ A ) ) ),
inference(paramod_ordered,[status(thm)],[5,19]) ).
thf(23,plain,
cS @ sk1,
inference(pattern_uni,[status(thm)],[22:[bind(A,$thf( sk1 ))]]) ).
thf(4,plain,
~ ( cS @ sk1 ),
inference(cnf,[status(esa)],[3]) ).
thf(26,plain,
$false,
inference(rewrite,[status(thm)],[23,4]) ).
thf(27,plain,
$false,
inference(simp,[status(thm)],[26]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.08 % Problem : SEV393^5 : TPTP v8.2.0. Released v4.0.0.
% 0.02/0.08 % Command : run_Leo-III %s %d SAT
% 0.08/0.27 % Computer : n032.cluster.edu
% 0.08/0.27 % Model : x86_64 x86_64
% 0.08/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.27 % Memory : 8042.1875MB
% 0.08/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.27 % CPULimit : 300
% 0.08/0.27 % WCLimit : 300
% 0.08/0.27 % DateTime : Fri Jun 21 19:42:55 EDT 2024
% 0.08/0.27 % CPUTime :
% 0.68/0.67 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.95/0.77 % [INFO] Parsing done (96ms).
% 0.95/0.78 % [INFO] Running in sequential loop mode.
% 1.23/0.99 % [INFO] nitpick registered as external prover.
% 1.23/1.00 % [INFO] Scanning for conjecture ...
% 1.42/1.04 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 1.42/1.06 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 1.42/1.06 % [INFO] Problem is higher-order (TPTP THF).
% 1.42/1.07 % [INFO] Type checking passed.
% 1.42/1.07 % [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 ...
% 2.17/1.40 % [INFO] Killing All external provers ...
% 2.17/1.41 % Time passed: 1023ms (effective reasoning time: 620ms)
% 2.17/1.41 % 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)>
% 2.17/1.41 % Axioms used in derivation (0):
% 2.17/1.41 % No. of inferences in proof: 14
% 2.17/1.41 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1023 ms resp. 620 ms w/o parsing
% 2.17/1.43 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.17/1.43 % [INFO] Killing All external provers ...
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