TSTP Solution File: SEV285^5 by Leo-III-SAT---1.7.15
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%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.15
% Problem : SEV285^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d SAT
% Computer : n026.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 2.31s 1.47s
% Output : Refutation 2.31s
% 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 : 18 ( 5 ~; 0 |; 0 &; 10 @)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Number of types : 2 ( 2 usr)
% Number of type conns : 6 ( 6 >; 0 *; 0 +; 0 <<)
% Number of symbols : 4 ( 2 usr; 1 con; 0-2 aty)
% Number of variables : 11 ( 0 ^ 11 !; 0 ?; 11 :)
% Comments :
%------------------------------------------------------------------------------
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 > b ).
thf(1,conjecture,
! [A: a > b,B: a > b] :
( ! [C: a] :
( ( A @ C )
= ( B @ C ) )
=> ( A = B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cEE_eq_) ).
thf(2,negated_conjecture,
~ ! [A: a > b,B: a > b] :
( ! [C: a] :
( ( A @ C )
= ( B @ C ) )
=> ( A = B ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ! [A: a > b,B: a > b] :
( ! [C: a] :
( ( A @ C )
= ( B @ C ) )
=> ( A = B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(4,plain,
sk1 != sk2,
inference(cnf,[status(esa)],[3]) ).
thf(6,plain,
sk2 != sk1,
inference(lifteq,[status(thm)],[4]) ).
thf(5,plain,
! [A: a] :
( ( sk1 @ A )
= ( sk2 @ A ) ),
inference(cnf,[status(esa)],[3]) ).
thf(7,plain,
! [A: a] :
( ( sk2 @ A )
= ( sk1 @ A ) ),
inference(lifteq,[status(thm)],[5]) ).
thf(9,plain,
sk1 != sk1,
inference(rewrite,[status(thm)],[6,7]) ).
thf(10,plain,
$false,
inference(simp,[status(thm)],[9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SEV285^5 : TPTP v8.2.0. Released v4.0.0.
% 0.04/0.12 % Command : run_Leo-III %s %d SAT
% 0.13/0.33 % Computer : n026.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 19:43:25 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.95/0.87 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.22/0.96 % [INFO] Parsing done (92ms).
% 1.22/0.97 % [INFO] Running in sequential loop mode.
% 1.59/1.17 % [INFO] nitpick registered as external prover.
% 1.59/1.17 % [INFO] Scanning for conjecture ...
% 1.70/1.22 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 1.81/1.23 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 1.81/1.23 % [INFO] Problem is higher-order (TPTP THF).
% 1.81/1.24 % [INFO] Type checking passed.
% 1.82/1.24 % [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 ...
% 2.31/1.47 % [INFO] Killing All external provers ...
% 2.31/1.47 % Time passed: 942ms (effective reasoning time: 498ms)
% 2.31/1.47 % 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)>
% 2.31/1.47 % Axioms used in derivation (0):
% 2.31/1.47 % No. of inferences in proof: 9
% 2.31/1.47 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 942 ms resp. 498 ms w/o parsing
% 2.31/1.49 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.31/1.49 % [INFO] Killing All external provers ...
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