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 v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n031.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 : Theorem 2.34s 1.52s
% Output : Refutation 2.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 14 ( 4 unt; 4 typ; 0 def)
% Number of atoms : 24 ( 0 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 42 ( 7 ~; 2 |; 0 &; 21 @)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 2 ( 2 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 4 usr; 4 con; 0-1 aty)
% Number of variables : 16 ( 0 ^; 11 !; 5 ?; 16 :)
% Comments :
%------------------------------------------------------------------------------
thf(big_p_type,type,
big_p: $i > $o ).
thf(big_q_type,type,
big_q: $i > $o ).
thf(sk1_type,type,
sk1: $i ).
thf(sk2_type,type,
sk2: $i ).
thf(1,conjecture,
? [A: $i] :
! [B: $i,C: $i] :
( ( ( big_p @ B )
=> ( big_q @ C ) )
=> ( ( big_p @ A )
=> ( big_q @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel19) ).
thf(2,negated_conjecture,
~ ? [A: $i] :
! [B: $i,C: $i] :
( ( ( big_p @ B )
=> ( big_q @ C ) )
=> ( ( big_p @ A )
=> ( big_q @ A ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ? [A: $i] :
! [B: $i,C: $i] :
( ( ( big_p @ B )
=> ( big_q @ C ) )
=> ( ( big_p @ A )
=> ( big_q @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(4,plain,
~ ( ( ! [A: $i] : ( big_p @ A )
=> ? [A: $i] : ( big_q @ A ) )
=> ( ! [A: $i] : ( big_p @ A )
=> ? [A: $i] : ( big_q @ A ) ) ),
inference(miniscope,[status(thm)],[3]) ).
thf(7,plain,
( ~ ( big_p @ sk1 )
| ( big_q @ sk2 ) ),
inference(cnf,[status(esa)],[4]) ).
thf(6,plain,
! [A: $i] : ( big_p @ A ),
inference(cnf,[status(esa)],[4]) ).
thf(5,plain,
! [A: $i] :
~ ( big_q @ A ),
inference(cnf,[status(esa)],[4]) ).
thf(8,plain,
! [A: $i] :
~ ( big_q @ A ),
inference(simp,[status(thm)],[5]) ).
thf(9,plain,
( ~ $true
| $false ),
inference(rewrite,[status(thm)],[7,6,8]) ).
thf(10,plain,
$false,
inference(simp,[status(thm)],[9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.01/0.12 % Problem : SYN049+1 : TPTP v8.1.2. Released v2.0.0.
% 0.11/0.15 % Command : run_Leo-III %s %d
% 0.14/0.36 % Computer : n031.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Thu May 18 20:15:26 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.81/0.85 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.11/0.97 % [INFO] Parsing done (112ms).
% 1.11/0.97 % [INFO] Running in sequential loop mode.
% 1.60/1.18 % [INFO] eprover registered as external prover.
% 1.60/1.18 % [INFO] cvc4 registered as external prover.
% 1.60/1.19 % [INFO] Scanning for conjecture ...
% 1.72/1.24 % [INFO] Found a conjecture and 0 axioms. Running axiom selection ...
% 1.72/1.26 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 1.72/1.26 % [INFO] Problem is first-order (TPTP FOF).
% 1.72/1.26 % [INFO] Type checking passed.
% 1.72/1.26 % [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 ...
% 2.34/1.51 % [INFO] Killing All external provers ...
% 2.34/1.51 % Time passed: 1008ms (effective reasoning time: 536ms)
% 2.34/1.51 % 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)>
% 2.34/1.52 % Axioms used in derivation (0):
% 2.34/1.52 % No. of inferences in proof: 10
% 2.34/1.52 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1008 ms resp. 536 ms w/o parsing
% 2.51/1.54 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.51/1.54 % [INFO] Killing All external provers ...
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