TSTP Solution File: SYO147^5 by Leo-III---1.7.12
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.12
% Problem : SYO147^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n028.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 08:55:55 EDT 2024
% Result : Theorem 2.66s 1.94s
% Output : Refutation 3.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of formulae : 7 ( 1 unt; 3 typ; 0 def)
% Number of atoms : 19 ( 0 equ; 0 cnn)
% Maximal formula atoms : 6 ( 4 avg)
% Number of connectives : 35 ( 2 ~; 0 |; 6 &; 18 @)
% ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 3 ( 3 >; 0 *; 0 +; 0 <<)
% Number of symbols : 4 ( 3 usr; 1 con; 0-1 aty)
% Number of variables : 6 ( 0 ^ 3 !; 3 ?; 6 :)
% Comments :
%------------------------------------------------------------------------------
thf(cP3_type,type,
cP3: $i > $o ).
thf(cP2_type,type,
cP2: $i > $o ).
thf(cP1_type,type,
cP1: $i > $o ).
thf(1,conjecture,
? [A: $i] :
! [B: $i] :
( ( ( cP1 @ B )
& ( ( cP1 @ A )
=> ( cP2 @ B ) )
& ( ( cP2 @ A )
=> ( cP3 @ B ) ) )
=> ( cP3 @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cBAFFLER3) ).
thf(2,negated_conjecture,
~ ? [A: $i] :
! [B: $i] :
( ( ( cP1 @ B )
& ( ( cP1 @ A )
=> ( cP2 @ B ) )
& ( ( cP2 @ A )
=> ( cP3 @ B ) ) )
=> ( cP3 @ A ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ? [A: $i] :
! [B: $i] :
( ( ( cP1 @ B )
& ( ( cP1 @ A )
=> ( cP2 @ B ) )
& ( ( cP2 @ A )
=> ( cP3 @ B ) ) )
=> ( cP3 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(10,plain,
$false,
inference(e,[status(thm)],[3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09 % Problem : SYO147^5 : TPTP v8.2.0. Released v4.0.0.
% 0.02/0.11 % Command : run_Leo-III %s %d
% 0.11/0.31 % Computer : n028.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Mon May 20 09:11:09 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.94/0.92 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.13/1.07 % [INFO] Parsing done (149ms).
% 1.29/1.08 % [INFO] Running in sequential loop mode.
% 1.71/1.43 % [INFO] eprover registered as external prover.
% 1.71/1.43 % [INFO] cvc4 registered as external prover.
% 1.71/1.44 % [INFO] Scanning for conjecture ...
% 1.95/1.52 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 1.99/1.55 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 1.99/1.55 % [INFO] Problem is higher-order (TPTP THF).
% 1.99/1.55 % [INFO] Type checking passed.
% 1.99/1.56 % [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 ...
% 2.66/1.94 % External prover 'e' found a proof!
% 2.66/1.94 % [INFO] Killing All external provers ...
% 2.66/1.94 % Time passed: 1477ms (effective reasoning time: 849ms)
% 2.66/1.94 % 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)>
% 2.66/1.94 % Axioms used in derivation (0):
% 2.66/1.94 % No. of inferences in proof: 4
% 2.66/1.94 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1477 ms resp. 849 ms w/o parsing
% 3.00/2.02 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.00/2.02 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------