TSTP Solution File: SYO012_8 by Leo-III---1.7.7
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : SYO012_8 : TPTP v8.1.2. Released v8.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n005.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 : Fri May 19 12:34:54 EDT 2023
% Result : Theorem 2.65s 1.56s
% Output : Refutation 2.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 4
% Syntax : Number of formulae : 15 ( 5 unt; 3 typ; 0 def)
% Number of atoms : 49 ( 3 equ; 0 cnn)
% Maximal formula atoms : 6 ( 4 avg)
% Number of connectives : 37 ( 6 ~; 2 |; 16 &; 10 @)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 1 ( 1 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 3 usr; 4 con; 0-2 aty)
% Number of variables : 0 ( 0 ^; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
thf(a_type,type,
a: $o ).
thf(b_type,type,
b: $o ).
thf(p_type,type,
p: $o > $o ).
thf(1,conjecture,
( ( p
@ ( a
& b ) )
=> ( p
@ ( b
& a ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj) ).
thf(2,negated_conjecture,
~ ( ( p
@ ( a
& b ) )
=> ( p
@ ( b
& a ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ( ( p
@ ( a
& b ) )
=> ( p
@ ( b
& a ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(5,plain,
( p
@ ( a
& b ) ),
inference(cnf,[status(esa)],[3]) ).
thf(4,plain,
~ ( p
@ ( b
& a ) ),
inference(cnf,[status(esa)],[3]) ).
thf(6,plain,
( ( p
@ ( a
& b ) )
!= ( p
@ ( b
& a ) ) ),
inference(paramod_ordered,[status(thm)],[5,4]) ).
thf(7,plain,
( ( a
& b )
!= ( b
& a ) ),
inference(simp,[status(thm)],[6]) ).
thf(10,plain,
( ( a
& b )
| ( b
& a ) ),
inference(bool_ext,[status(thm)],[7]) ).
thf(14,plain,
( a
| a ),
inference(cnf,[status(esa)],[10]) ).
thf(17,plain,
a,
inference(simp,[status(thm)],[14]) ).
thf(23,plain,
( ( $true
& b )
!= ( b
& $true ) ),
inference(rewrite,[status(thm)],[7,17]) ).
thf(24,plain,
$false,
inference(simp,[status(thm)],[23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYO012_8 : TPTP v8.1.2. Released v8.0.0.
% 0.11/0.15 % Command : run_Leo-III %s %d
% 0.15/0.36 % Computer : n005.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Thu May 18 18:24:09 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.88/0.83 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.17/0.94 % [INFO] Parsing done (105ms).
% 1.27/0.94 % [INFO] Running in sequential loop mode.
% 1.54/1.16 % [INFO] eprover registered as external prover.
% 1.54/1.16 % [INFO] cvc4 registered as external prover.
% 1.54/1.16 % [INFO] Scanning for conjecture ...
% 1.76/1.21 % [INFO] Found a conjecture and 0 axioms. Running axiom selection ...
% 1.89/1.23 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 1.89/1.23 % [INFO] Problem is typed first-order (TPTP TFF).
% 1.89/1.23 % [INFO] Type checking passed.
% 1.89/1.23 % [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 ...
% 2.65/1.56 % [INFO] Killing All external provers ...
% 2.65/1.56 % Time passed: 1040ms (effective reasoning time: 615ms)
% 2.65/1.56 % 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)>
% 2.65/1.56 % Axioms used in derivation (0):
% 2.65/1.56 % No. of inferences in proof: 12
% 2.65/1.56 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1040 ms resp. 615 ms w/o parsing
% 2.65/1.58 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.65/1.58 % [INFO] Killing All external provers ...
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