TSTP Solution File: SYO105^5 by Leo-III---1.7.12
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.12
% Problem : SYO105^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n006.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 08:55:50 EDT 2024
% Result : Theorem 2.55s 1.63s
% Output : Refutation 3.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 5
% Syntax : Number of formulae : 8 ( 4 unt; 4 typ; 0 def)
% Number of atoms : 22 ( 3 equ; 0 cnn)
% Maximal formula atoms : 1 ( 5 avg)
% Number of connectives : 68 ( 20 ~; 0 |; 0 &; 36 @)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 2 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 6 ( 6 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 4 usr; 2 con; 0-3 aty)
% Number of variables : 24 ( 0 ^ 12 !; 12 ?; 24 :)
% Comments :
%------------------------------------------------------------------------------
thf(cR_type,type,
cR: $i > $o ).
thf(y_type,type,
y: $i ).
thf(cP_type,type,
cP: $i > $i > $i > $o ).
thf(cQ_type,type,
cQ: $i > $i > $o ).
thf(1,conjecture,
( ( ~ ( ? [A: $i] : ( cQ @ A @ y )
=> ~ ! [A: $i] :
( ! [B: $i] : ( cP @ B @ y @ A )
=> ~ ? [B: $i] : ( cR @ B ) ) ) )
= ( ? [A: $i] :
! [B: $i] :
? [C: $i] :
! [D: $i] :
~ ( ( cQ @ A @ y )
=> ~ ( ( cP @ C @ y @ B )
=> ~ ( cR @ D ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cX2201TEST) ).
thf(2,negated_conjecture,
( ( ~ ( ? [A: $i] : ( cQ @ A @ y )
=> ~ ! [A: $i] :
( ! [B: $i] : ( cP @ B @ y @ A )
=> ~ ? [B: $i] : ( cR @ B ) ) ) )
!= ( ? [A: $i] :
! [B: $i] :
? [C: $i] :
! [D: $i] :
~ ( ( cQ @ A @ y )
=> ~ ( ( cP @ C @ y @ B )
=> ~ ( cR @ D ) ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ~ ( ? [A: $i] : ( cQ @ A @ y )
=> ~ ! [A: $i] :
( ! [B: $i] : ( cP @ B @ y @ A )
=> ~ ? [B: $i] : ( cR @ B ) ) ) )
!= ( ? [A: $i] :
! [B: $i] :
? [C: $i] :
! [D: $i] :
~ ( ( cQ @ A @ y )
=> ~ ( ( cP @ C @ y @ B )
=> ~ ( cR @ D ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(15,plain,
$false,
inference(e,[status(thm)],[3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SYO105^5 : TPTP v8.2.0. Released v4.0.0.
% 0.16/0.15 % Command : run_Leo-III %s %d
% 0.16/0.36 % Computer : n006.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Mon May 20 08:39:09 EDT 2024
% 0.16/0.36 % CPUTime :
% 0.96/0.91 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.16/1.02 % [INFO] Parsing done (113ms).
% 1.16/1.03 % [INFO] Running in sequential loop mode.
% 1.70/1.24 % [INFO] eprover registered as external prover.
% 1.70/1.24 % [INFO] cvc4 registered as external prover.
% 1.70/1.25 % [INFO] Scanning for conjecture ...
% 1.78/1.30 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 1.98/1.33 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 1.98/1.33 % [INFO] Problem is higher-order (TPTP THF).
% 1.98/1.33 % [INFO] Type checking passed.
% 1.98/1.33 % [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 ...
% 2.55/1.62 % External prover 'e' found a proof!
% 2.55/1.62 % [INFO] Killing All external provers ...
% 2.55/1.62 % Time passed: 1110ms (effective reasoning time: 588ms)
% 2.55/1.62 % 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)>
% 2.55/1.62 % Axioms used in derivation (0):
% 2.55/1.62 % No. of inferences in proof: 4
% 2.55/1.63 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1110 ms resp. 588 ms w/o parsing
% 3.04/1.69 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.04/1.69 % [INFO] Killing All external provers ...
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