TSTP Solution File: SEV286^5 by Leo-III-SAT---1.7.15
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%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.15
% Problem : SEV286^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d SAT
% Computer : n024.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 15:59:55 EDT 2024
% Result : Theorem 2.13s 1.40s
% Output : Refutation 2.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 1
% Syntax : Number of formulae : 9 ( 6 unt; 0 typ; 0 def)
% Number of atoms : 12 ( 11 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 20 ( 5 ~; 0 |; 0 &; 12 @)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Number of types : 2 ( 2 usr)
% Number of type conns : 3 ( 3 >; 0 *; 0 +; 0 <<)
% Number of symbols : 5 ( 3 usr; 3 con; 0-2 aty)
% Number of variables : 9 ( 0 ^ 9 !; 0 ?; 9 :)
% Comments :
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thf(a_type,type,
a: $tType ).
thf(b_type,type,
b: $tType ).
thf(sk1_type,type,
sk1: a > b ).
thf(sk2_type,type,
sk2: a ).
thf(sk3_type,type,
sk3: a ).
thf(1,conjecture,
! [A: a > b,B: a,C: a] :
( ( B = C )
=> ( ( A @ B )
= ( A @ C ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cEC_eq_) ).
thf(2,negated_conjecture,
~ ! [A: a > b,B: a,C: a] :
( ( B = C )
=> ( ( A @ B )
= ( A @ C ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ! [A: a > b,B: a,C: a] :
( ( B = C )
=> ( ( A @ B )
= ( A @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(4,plain,
( ( sk1 @ sk2 )
!= ( sk1 @ sk3 ) ),
inference(cnf,[status(esa)],[3]) ).
thf(6,plain,
( ( sk1 @ sk3 )
!= ( sk1 @ sk2 ) ),
inference(lifteq,[status(thm)],[4]) ).
thf(5,plain,
sk2 = sk3,
inference(cnf,[status(esa)],[3]) ).
thf(7,plain,
sk3 = sk2,
inference(lifteq,[status(thm)],[5]) ).
thf(8,plain,
( ( sk1 @ sk2 )
!= ( sk1 @ sk2 ) ),
inference(rewrite,[status(thm)],[6,7]) ).
thf(9,plain,
$false,
inference(simp,[status(thm)],[8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEV286^5 : TPTP v8.2.0. Released v4.0.0.
% 0.03/0.12 % Command : run_Leo-III %s %d SAT
% 0.13/0.33 % Computer : n024.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Fri Jun 21 18:20:10 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.94/0.86 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.18/0.95 % [INFO] Parsing done (89ms).
% 1.18/0.96 % [INFO] Running in sequential loop mode.
% 1.59/1.16 % [INFO] nitpick registered as external prover.
% 1.59/1.16 % [INFO] Scanning for conjecture ...
% 1.71/1.20 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 1.71/1.22 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 1.71/1.22 % [INFO] Problem is higher-order (TPTP THF).
% 1.71/1.22 % [INFO] Type checking passed.
% 1.71/1.23 % [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 ...
% 2.13/1.39 % [INFO] Killing All external provers ...
% 2.13/1.40 % Time passed: 865ms (effective reasoning time: 434ms)
% 2.13/1.40 % 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)>
% 2.13/1.40 % Axioms used in derivation (0):
% 2.13/1.40 % No. of inferences in proof: 9
% 2.13/1.40 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 865 ms resp. 434 ms w/o parsing
% 2.13/1.41 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.13/1.41 % [INFO] Killing All external provers ...
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