TSTP Solution File: SYN049-1 by Leo-III---1.7.7
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : SYN049-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n032.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 12:27:04 EDT 2023
% Result : Unsatisfiable 1.87s 1.31s
% Output : Refutation 2.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 7
% Syntax : Number of formulae : 11 ( 5 unt; 4 typ; 0 def)
% Number of atoms : 9 ( 0 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 18 ( 4 ~; 2 |; 0 &; 12 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 4 ( 4 >; 0 *; 0 +; 0 <<)
% Number of symbols : 5 ( 4 usr; 1 con; 0-1 aty)
% Number of variables : 6 ( 0 ^; 6 !; 0 ?; 6 :)
% Comments :
%------------------------------------------------------------------------------
thf(big_p_type,type,
big_p: $i > $o ).
thf(f_type,type,
f: $i > $i ).
thf(big_q_type,type,
big_q: $i > $o ).
thf(g_type,type,
g: $i > $i ).
thf(1,negated_conjecture,
! [A: $i] :
( ~ ( big_p @ ( f @ A ) )
| ( big_q @ ( g @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_1) ).
thf(4,plain,
! [A: $i] :
( ~ ( big_p @ ( f @ A ) )
| ( big_q @ ( g @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(2,negated_conjecture,
! [A: $i] : ( big_p @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_2) ).
thf(5,plain,
! [A: $i] : ( big_p @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(3,negated_conjecture,
! [A: $i] :
~ ( big_q @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_3) ).
thf(6,plain,
! [A: $i] :
~ ( big_q @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(9,plain,
$false,
inference(e,[status(thm)],[4,5,6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SYN049-1 : TPTP v8.1.2. Released v1.0.0.
% 0.09/0.11 % Command : run_Leo-III %s %d
% 0.11/0.30 % Computer : n032.cluster.edu
% 0.11/0.30 % Model : x86_64 x86_64
% 0.11/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.30 % Memory : 8042.1875MB
% 0.11/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.30 % CPULimit : 300
% 0.11/0.30 % WCLimit : 300
% 0.11/0.30 % DateTime : Thu May 18 19:42:20 EDT 2023
% 0.11/0.30 % CPUTime :
% 0.65/0.69 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.94/0.79 % [INFO] Parsing done (101ms).
% 0.94/0.79 % [INFO] Running in sequential loop mode.
% 1.20/1.00 % [INFO] eprover registered as external prover.
% 1.37/1.00 % [INFO] cvc4 registered as external prover.
% 1.37/1.00 % [INFO] Scanning for conjecture ...
% 1.37/1.05 % [INFO] Found a conjecture and 0 axioms. Running axiom selection ...
% 1.37/1.07 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 1.54/1.07 % [INFO] Problem is propositional (TPTP CNF).
% 1.54/1.07 % [INFO] Type checking passed.
% 1.54/1.07 % [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 ...
% 1.87/1.31 % External prover 'e' found a proof!
% 1.87/1.31 % [INFO] Killing All external provers ...
% 1.87/1.31 % Time passed: 902ms (effective reasoning time: 509ms)
% 1.87/1.31 % 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)>
% 1.87/1.31 % Axioms used in derivation (0):
% 1.87/1.31 % No. of inferences in proof: 7
% 1.87/1.31 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 902 ms resp. 509 ms w/o parsing
% 2.14/1.33 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.14/1.33 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------