TSTP Solution File: SET046-5 by Leo-III-SAT---1.7.12
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%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.12
% Problem : SET046-5 : TPTP v8.2.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n012.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 03:05:04 EDT 2024
% Result : Unsatisfiable 3.12s 1.77s
% Output : Refutation 3.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 6
% Syntax : Number of formulae : 25 ( 5 unt; 3 typ; 0 def)
% Number of atoms : 55 ( 4 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 157 ( 28 ~; 25 |; 0 &; 104 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 3 ( 3 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 3 usr; 3 con; 0-2 aty)
% Number of variables : 20 ( 0 ^ 20 !; 0 ?; 20 :)
% Comments :
%------------------------------------------------------------------------------
thf(element_type,type,
element: $i > $i > $o ).
thf(a_type,type,
a: $i ).
thf(f_type,type,
f: $i > $i ).
thf(2,negated_conjecture,
! [A: $i] :
( ( element @ A @ ( f @ A ) )
| ( element @ A @ a ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_2) ).
thf(5,plain,
! [A: $i] :
( ( element @ A @ ( f @ A ) )
| ( element @ A @ a ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(8,plain,
! [A: $i] :
( ( element @ A @ ( f @ A ) )
| ( element @ A @ a ) ),
inference(cnf,[status(esa)],[5]) ).
thf(3,negated_conjecture,
! [A: $i] :
( ( element @ ( f @ A ) @ A )
| ( element @ A @ a ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_3) ).
thf(6,plain,
! [A: $i] :
( ( element @ ( f @ A ) @ A )
| ( element @ A @ a ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(9,plain,
! [A: $i] :
( ( element @ ( f @ A ) @ A )
| ( element @ A @ a ) ),
inference(cnf,[status(esa)],[6]) ).
thf(1,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( element @ A @ a )
| ~ ( element @ A @ B )
| ~ ( element @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1) ).
thf(4,plain,
! [B: $i,A: $i] :
( ~ ( element @ A @ a )
| ~ ( element @ A @ B )
| ~ ( element @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(7,plain,
! [B: $i,A: $i] :
( ~ ( element @ A @ a )
| ~ ( element @ A @ B )
| ~ ( element @ B @ A ) ),
inference(cnf,[status(esa)],[4]) ).
thf(41,plain,
! [B: $i,A: $i] :
( ~ ( element @ A @ a )
| ~ ( element @ B @ A )
| ( ( element @ A @ B )
!= ( element @ A @ a ) )
| ~ $true ),
inference(eqfactor_ordered,[status(thm)],[7]) ).
thf(44,plain,
! [A: $i] :
( ~ ( element @ A @ a )
| ~ ( element @ a @ A ) ),
inference(pattern_uni,[status(thm)],[41:[bind(A,$thf( A )),bind(B,$thf( a ))]]) ).
thf(83,plain,
! [B: $i,A: $i] :
( ( element @ A @ a )
| ~ ( element @ a @ B )
| ( ( element @ ( f @ A ) @ A )
!= ( element @ B @ a ) ) ),
inference(paramod_ordered,[status(thm)],[9,44]) ).
thf(84,plain,
( ( element @ a @ a )
| ~ ( element @ a @ ( f @ a ) ) ),
inference(pattern_uni,[status(thm)],[83:[bind(A,$thf( a )),bind(B,$thf( f @ a ))]]) ).
thf(42,plain,
! [B: $i,A: $i] :
( ~ ( element @ A @ a )
| ~ ( element @ A @ B )
| ( ( element @ B @ A )
!= ( element @ A @ a ) )
| ~ $true ),
inference(eqfactor_ordered,[status(thm)],[7]) ).
thf(46,plain,
( ~ ( element @ a @ a )
| ~ ( element @ a @ a ) ),
inference(pattern_uni,[status(thm)],[42:[bind(A,$thf( a )),bind(B,$thf( a ))]]) ).
thf(52,plain,
~ ( element @ a @ a ),
inference(simp,[status(thm)],[46]) ).
thf(108,plain,
( $false
| ~ ( element @ a @ ( f @ a ) ) ),
inference(rewrite,[status(thm)],[84,52]) ).
thf(109,plain,
~ ( element @ a @ ( f @ a ) ),
inference(simp,[status(thm)],[108]) ).
thf(112,plain,
! [A: $i] :
( ( element @ A @ a )
| ( ( element @ A @ ( f @ A ) )
!= ( element @ a @ ( f @ a ) ) ) ),
inference(paramod_ordered,[status(thm)],[8,109]) ).
thf(113,plain,
element @ a @ a,
inference(pattern_uni,[status(thm)],[112:[bind(A,$thf( a ))]]) ).
thf(118,plain,
$false,
inference(rewrite,[status(thm)],[113,52]) ).
thf(119,plain,
$false,
inference(simp,[status(thm)],[118]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SET046-5 : TPTP v8.2.0. Released v1.0.0.
% 0.13/0.16 % Command : run_Leo-III %s %d
% 0.15/0.37 % Computer : n012.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Mon May 20 12:48:54 EDT 2024
% 0.15/0.37 % CPUTime :
% 0.95/0.87 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.20/0.96 % [INFO] Parsing done (89ms).
% 1.20/0.96 % [INFO] Running in sequential loop mode.
% 1.43/1.16 % [INFO] nitpick registered as external prover.
% 1.62/1.17 % [INFO] Scanning for conjecture ...
% 1.72/1.21 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 1.81/1.24 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 1.81/1.24 % [INFO] Problem is propositional (TPTP CNF).
% 1.81/1.24 % [INFO] Type checking passed.
% 1.81/1.24 % [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 ...
% 3.12/1.77 % [INFO] Killing All external provers ...
% 3.12/1.77 % Time passed: 1235ms (effective reasoning time: 802ms)
% 3.12/1.77 % Axioms used in derivation (0):
% 3.12/1.77 % No. of inferences in proof: 22
% 3.12/1.77 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : 1235 ms resp. 802 ms w/o parsing
% 3.12/1.81 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.12/1.81 % [INFO] Killing All external provers ...
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