TSTP Solution File: ALG282^5 by Leo-III---1.7.15
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.15
% Problem : ALG282^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d THM
% Computer : n020.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 04:01:42 EDT 2024
% Result : Theorem 3.46s 2.32s
% Output : Refutation 3.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 5
% Syntax : Number of formulae : 8 ( 1 unt; 4 typ; 0 def)
% Number of atoms : 13 ( 12 equ; 0 cnn)
% Maximal formula atoms : 4 ( 3 avg)
% Number of connectives : 56 ( 2 ~; 0 |; 6 &; 45 @)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 5 avg)
% Number of types : 1 ( 1 usr)
% Number of type conns : 3 ( 3 >; 0 *; 0 +; 0 <<)
% Number of symbols : 5 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 24 ( 0 ^ 21 !; 3 ?; 24 :)
% Comments :
%------------------------------------------------------------------------------
thf(a_type,type,
a: $tType ).
thf(cP_type,type,
cP: a > a > a ).
thf(cE_type,type,
cE: a ).
thf(cJ_type,type,
cJ: a > a ).
thf(1,conjecture,
( ( ! [A: a,B: a,C: a] :
( ( cP @ ( cP @ A @ B ) @ C )
= ( cP @ A @ ( cP @ B @ C ) ) )
& ! [A: a] :
( ( cP @ cE @ A )
= A )
& ! [A: a] :
( ( cP @ ( cJ @ A ) @ A )
= cE ) )
=> ! [A: a,B: a] :
? [C: a] :
( ( cP @ C @ A )
= B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM21_pme) ).
thf(2,negated_conjecture,
~ ( ( ! [A: a,B: a,C: a] :
( ( cP @ ( cP @ A @ B ) @ C )
= ( cP @ A @ ( cP @ B @ C ) ) )
& ! [A: a] :
( ( cP @ cE @ A )
= A )
& ! [A: a] :
( ( cP @ ( cJ @ A ) @ A )
= cE ) )
=> ! [A: a,B: a] :
? [C: a] :
( ( cP @ C @ A )
= B ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ( ( ! [A: a,B: a,C: a] :
( ( cP @ ( cP @ A @ B ) @ C )
= ( cP @ A @ ( cP @ B @ C ) ) )
& ! [A: a] :
( ( cP @ cE @ A )
= A )
& ! [A: a] :
( ( cP @ ( cJ @ A ) @ A )
= cE ) )
=> ! [A: a,B: a] :
? [C: a] :
( ( cP @ C @ A )
= B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(17,plain,
$false,
inference(e,[status(thm)],[3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : ALG282^5 : TPTP v8.2.0. Released v4.0.0.
% 0.10/0.12 % Command : run_Leo-III %s %d THM
% 0.10/0.32 % Computer : n020.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Wed Jun 19 15:53:40 EDT 2024
% 0.10/0.32 % CPUTime :
% 1.10/1.03 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.43/1.20 % [INFO] Parsing done (167ms).
% 1.43/1.22 % [INFO] Running in sequential loop mode.
% 2.04/1.62 % [INFO] eprover registered as external prover.
% 2.04/1.63 % [INFO] Scanning for conjecture ...
% 2.22/1.72 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 2.22/1.76 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 2.22/1.76 % [INFO] Problem is higher-order (TPTP THF).
% 2.22/1.77 % [INFO] Type checking passed.
% 2.22/1.77 % [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 ...
% 3.46/2.31 % External prover 'e' found a proof!
% 3.46/2.31 % [INFO] Killing All external provers ...
% 3.46/2.31 % Time passed: 1807ms (effective reasoning time: 1093ms)
% 3.46/2.31 % 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)>
% 3.46/2.32 % Axioms used in derivation (0):
% 3.46/2.32 % No. of inferences in proof: 4
% 3.46/2.32 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1807 ms resp. 1093 ms w/o parsing
% 3.46/2.35 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.46/2.35 % [INFO] Killing All external provers ...
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