TSTP Solution File: SEV169^5 by Leo-III---1.7.12
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.12
% Problem : SEV169^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n016.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 04:10:05 EDT 2024
% Result : Theorem 3.90s 2.59s
% Output : Refutation 4.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 2
% Syntax : Number of formulae : 5 ( 1 unt; 1 typ; 0 def)
% Number of atoms : 16 ( 15 equ; 0 cnn)
% Maximal formula atoms : 5 ( 4 avg)
% Number of connectives : 50 ( 2 ~; 0 |; 9 &; 36 @)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 6 avg)
% Number of types : 1 ( 1 usr)
% Number of type conns : 30 ( 30 >; 0 *; 0 +; 0 <<)
% Number of symbols : 2 ( 0 usr; 1 con; 0-2 aty)
% Number of variables : 60 ( 54 ^ 6 !; 0 ?; 60 :)
% Comments :
%------------------------------------------------------------------------------
thf(a_type,type,
a: $tType ).
thf(1,conjecture,
! [A: ( a > a > a ) > a,B: ( a > a > a ) > a] :
( ( ( A
= ( ^ [C: a > a > a] :
( C
@ ( A
@ ^ [D: a,E: a] : D )
@ ( A
@ ^ [D: a,E: a] : E ) ) ) )
& ( B
= ( ^ [C: a > a > a] :
( C
@ ( B
@ ^ [D: a,E: a] : D )
@ ( B
@ ^ [D: a,E: a] : E ) ) ) )
& ( ( A
@ ^ [C: a,D: a] : C )
= ( B
@ ^ [C: a,D: a] : C ) )
& ( ( A
@ ^ [C: a,D: a] : D )
= ( B
@ ^ [C: a,D: a] : D ) ) )
=> ( A = B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM188_pme) ).
thf(2,negated_conjecture,
~ ! [A: ( a > a > a ) > a,B: ( a > a > a ) > a] :
( ( ( A
= ( ^ [C: a > a > a] :
( C
@ ( A
@ ^ [D: a,E: a] : D )
@ ( A
@ ^ [D: a,E: a] : E ) ) ) )
& ( B
= ( ^ [C: a > a > a] :
( C
@ ( B
@ ^ [D: a,E: a] : D )
@ ( B
@ ^ [D: a,E: a] : E ) ) ) )
& ( ( A
@ ^ [C: a,D: a] : C )
= ( B
@ ^ [C: a,D: a] : C ) )
& ( ( A
@ ^ [C: a,D: a] : D )
= ( B
@ ^ [C: a,D: a] : D ) ) )
=> ( A = B ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ! [A: ( a > a > a ) > a,B: ( a > a > a ) > a] :
( ( ( A
= ( ^ [C: a > a > a] :
( C
@ ( A
@ ^ [D: a,E: a] : D )
@ ( A
@ ^ [D: a,E: a] : E ) ) ) )
& ( B
= ( ^ [C: a > a > a] :
( C
@ ( B
@ ^ [D: a,E: a] : D )
@ ( B
@ ^ [D: a,E: a] : E ) ) ) )
& ( ( A
@ ^ [C: a,D: a] : C )
= ( B
@ ^ [C: a,D: a] : C ) )
& ( ( A
@ ^ [C: a,D: a] : D )
= ( B
@ ^ [C: a,D: a] : D ) ) )
=> ( A = B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(15,plain,
$false,
inference(e,[status(thm)],[3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SEV169^5 : TPTP v8.2.0. Released v4.0.0.
% 0.10/0.14 % Command : run_Leo-III %s %d
% 0.14/0.35 % Computer : n016.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sun May 19 18:29:39 EDT 2024
% 0.14/0.35 % CPUTime :
% 1.12/1.09 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.48/1.28 % [INFO] Parsing done (187ms).
% 1.48/1.30 % [INFO] Running in sequential loop mode.
% 2.20/1.77 % [INFO] eprover registered as external prover.
% 2.20/1.77 % [INFO] cvc4 registered as external prover.
% 2.20/1.78 % [INFO] Scanning for conjecture ...
% 2.47/1.87 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 2.47/1.91 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 2.47/1.91 % [INFO] Problem is higher-order (TPTP THF).
% 2.47/1.91 % [INFO] Type checking passed.
% 2.67/1.92 % [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 ...
% 3.90/2.59 % External prover 'e' found a proof!
% 3.90/2.59 % [INFO] Killing All external provers ...
% 3.90/2.59 % Time passed: 2075ms (effective reasoning time: 1289ms)
% 3.90/2.59 % 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)>
% 3.90/2.59 % Axioms used in derivation (0):
% 3.90/2.59 % No. of inferences in proof: 4
% 3.90/2.59 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 2075 ms resp. 1289 ms w/o parsing
% 4.39/2.70 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 4.39/2.70 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------