TSTP Solution File: SET764^4 by Leo-III-SAT---1.7.15
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%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.15
% Problem : SET764^4 : TPTP v8.2.0. Released v3.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d SAT
% 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 : Mon Jun 24 14:45:47 EDT 2024
% Result : Theorem 2.24s 1.46s
% Output : Refutation 2.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of formulae : 6 ( 6 unt; 0 typ; 2 def)
% Number of atoms : 16 ( 5 equ; 0 cnn)
% Maximal formula atoms : 1 ( 2 avg)
% Number of connectives : 9 ( 2 ~; 0 |; 1 &; 6 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 4 ( 4 >; 0 *; 0 +; 0 <<)
% Number of symbols : 5 ( 2 usr; 2 con; 0-3 aty)
% Number of variables : 7 ( 4 ^ 2 !; 1 ?; 7 :)
% Comments :
%------------------------------------------------------------------------------
thf(emptyset_type,type,
emptyset: $i > $o ).
thf(emptyset_def,definition,
( emptyset
= ( ^ [A: $i] : $false ) ) ).
thf(fun_inv_image_type,type,
fun_inv_image: ( $i > $i ) > ( $i > $o ) > $i > $o ).
thf(fun_inv_image_def,definition,
( fun_inv_image
= ( ^ [A: $i > $i,B: $i > $o,C: $i] :
? [D: $i] :
( ( B @ D )
& ( D
= ( A @ C ) ) ) ) ) ).
thf(1,conjecture,
! [A: $i > $i] :
( ( fun_inv_image @ A @ emptyset )
= emptyset ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm) ).
thf(2,negated_conjecture,
~ ! [A: $i > $i] :
( ( fun_inv_image @ A @ emptyset )
= emptyset ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ $true,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(4,plain,
$false,
inference(simp,[status(thm)],[3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET764^4 : TPTP v8.2.0. Released v3.6.0.
% 0.11/0.12 % Command : run_Leo-III %s %d SAT
% 0.12/0.33 % Computer : n021.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Sun Jun 23 15:02:25 EDT 2024
% 0.12/0.33 % CPUTime :
% 1.00/0.91 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.28/1.06 % [INFO] Parsing done (151ms).
% 1.28/1.07 % [INFO] Running in sequential loop mode.
% 1.78/1.27 % [INFO] nitpick registered as external prover.
% 1.78/1.28 % [INFO] Scanning for conjecture ...
% 2.04/1.35 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 2.04/1.37 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 2.04/1.37 % [INFO] Problem is higher-order (TPTP THF).
% 2.04/1.37 % [INFO] Type checking passed.
% 2.04/1.38 % [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 ...
% 2.24/1.45 % [INFO] Killing All external provers ...
% 2.24/1.46 % Time passed: 929ms (effective reasoning time: 377ms)
% 2.24/1.46 % 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)>
% 2.24/1.46 % Axioms used in derivation (0):
% 2.24/1.46 % No. of inferences in proof: 4
% 2.24/1.46 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 929 ms resp. 377 ms w/o parsing
% 2.39/1.48 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.39/1.48 % [INFO] Killing All external provers ...
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