TSTP Solution File: SYN729-1 by Leo-III---1.7.7
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : SYN729-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n017.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 12:29:47 EDT 2023
% Result : Unsatisfiable 2.48s 1.57s
% Output : Refutation 2.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 12
% Syntax : Number of formulae : 19 ( 3 unt; 6 typ; 0 def)
% Number of atoms : 23 ( 0 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 60 ( 12 ~; 10 |; 0 &; 38 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 6 ( 6 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 10 ( 0 ^; 10 !; 0 ?; 10 :)
% Comments :
%------------------------------------------------------------------------------
thf(l_type,type,
l: $i > $i > $o ).
thf(g_type,type,
g: $i > $i ).
thf(h_type,type,
h: $i > $i ).
thf(sk1_type,type,
sk1: $i > $i ).
thf(p_type,type,
p: $i > $o ).
thf(sk2_type,type,
sk2: $i ).
thf(2,negated_conjecture,
! [A: $i] :
( ( p @ ( sk1 @ A ) )
| ~ ( p @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm72_2) ).
thf(10,plain,
! [A: $i] :
( ( p @ ( sk1 @ A ) )
| ~ ( p @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(6,negated_conjecture,
! [A: $i] :
( ~ ( p @ A )
| ~ ( l @ sk2 @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm72_6) ).
thf(9,plain,
! [A: $i] :
( ~ ( p @ A )
| ~ ( l @ sk2 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(4,negated_conjecture,
! [A: $i] :
( ( p @ ( h @ A ) )
| ~ ( p @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm72_4) ).
thf(12,plain,
! [A: $i] :
( ( p @ ( h @ A ) )
| ~ ( p @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(5,negated_conjecture,
p @ sk2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm72_5) ).
thf(7,plain,
p @ sk2,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(3,negated_conjecture,
! [A: $i] :
( ( p @ ( g @ A ) )
| ~ ( p @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm72_3) ).
thf(11,plain,
! [A: $i] :
( ( p @ ( g @ A ) )
| ~ ( p @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(1,negated_conjecture,
! [A: $i] :
( ( l @ A @ ( g @ ( h @ ( sk1 @ A ) ) ) )
| ~ ( p @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm72_1) ).
thf(8,plain,
! [A: $i] :
( ( l @ A @ ( g @ ( h @ ( sk1 @ A ) ) ) )
| ~ ( p @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(23,plain,
$false,
inference(e,[status(thm)],[10,9,12,7,11,8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYN729-1 : TPTP v8.1.2. Released v2.5.0.
% 0.11/0.15 % Command : run_Leo-III %s %d
% 0.15/0.37 % Computer : n017.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Thu May 18 19:17:01 EDT 2023
% 0.15/0.37 % CPUTime :
% 0.87/0.80 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.19/0.94 % [INFO] Parsing done (133ms).
% 1.19/0.95 % [INFO] Running in sequential loop mode.
% 1.43/1.17 % [INFO] eprover registered as external prover.
% 1.43/1.17 % [INFO] cvc4 registered as external prover.
% 1.43/1.18 % [INFO] Scanning for conjecture ...
% 1.67/1.23 % [INFO] Found a conjecture and 0 axioms. Running axiom selection ...
% 1.75/1.25 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 1.75/1.25 % [INFO] Problem is propositional (TPTP CNF).
% 1.75/1.26 % [INFO] Type checking passed.
% 1.75/1.26 % [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 ...
% 2.48/1.57 % External prover 'e' found a proof!
% 2.48/1.57 % [INFO] Killing All external provers ...
% 2.48/1.57 % Time passed: 1066ms (effective reasoning time: 620ms)
% 2.48/1.57 % 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)>
% 2.48/1.57 % Axioms used in derivation (0):
% 2.48/1.57 % No. of inferences in proof: 13
% 2.48/1.57 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1066 ms resp. 620 ms w/o parsing
% 2.72/1.63 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.72/1.63 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------