TSTP Solution File: SYN732+1 by Leo-III---1.7.12
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.12
% Problem : SYN732+1 : TPTP v8.2.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n003.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 08:13:23 EDT 2024
% Result : Theorem 2.38s 1.50s
% Output : Refutation 2.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 13 ( 6 unt; 3 typ; 0 def)
% Number of atoms : 26 ( 0 equ; 0 cnn)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 71 ( 5 ~; 4 |; 0 &; 50 @)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 5 ( 5 >; 0 *; 0 +; 0 <<)
% Number of symbols : 4 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 33 ( 0 ^ 19 !; 14 ?; 33 :)
% Comments :
%------------------------------------------------------------------------------
thf(p_type,type,
p: $i > $i > $o ).
thf(q_type,type,
q: $i > $i > $o ).
thf(sk2_type,type,
sk2: $i > $i ).
thf(1,conjecture,
( ! [A: $i] :
( ! [B: $i] : ( p @ B @ A )
=> ! [B: $i] : ( q @ B @ A ) )
=> ? [A: $i] :
( ? [B: $i] : ( p @ B @ A )
=> ? [B: $i] :
( ( p @ A @ B )
| ( q @ B @ A ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',x3411) ).
thf(2,negated_conjecture,
~ ( ! [A: $i] :
( ! [B: $i] : ( p @ B @ A )
=> ! [B: $i] : ( q @ B @ A ) )
=> ? [A: $i] :
( ? [B: $i] : ( p @ B @ A )
=> ? [B: $i] :
( ( p @ A @ B )
| ( q @ B @ A ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ( ! [A: $i] :
( ! [B: $i] : ( p @ B @ A )
=> ! [B: $i] : ( q @ B @ A ) )
=> ? [A: $i] :
( ? [B: $i] : ( p @ B @ A )
=> ? [B: $i] :
( ( p @ A @ B )
| ( q @ B @ A ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(4,plain,
~ ( ! [A: $i] :
( ! [B: $i] : ( p @ B @ A )
=> ! [B: $i] : ( q @ B @ A ) )
=> ( ! [A: $i] :
? [B: $i] : ( p @ B @ A )
=> ( ? [A: $i,B: $i] : ( p @ A @ B )
| ? [A: $i,B: $i] : ( q @ B @ A ) ) ) ),
inference(miniscope,[status(thm)],[3]) ).
thf(7,plain,
! [A: $i] : ( p @ ( sk2 @ A ) @ A ),
inference(cnf,[status(esa)],[4]) ).
thf(11,plain,
! [A: $i] : ( p @ ( sk2 @ A ) @ A ),
inference(simp,[status(thm)],[7]) ).
thf(6,plain,
! [B: $i,A: $i] :
~ ( p @ A @ B ),
inference(cnf,[status(esa)],[4]) ).
thf(10,plain,
! [B: $i,A: $i] :
~ ( p @ A @ B ),
inference(simp,[status(thm)],[6]) ).
thf(12,plain,
$false,
inference(rewrite,[status(thm)],[11,10]) ).
thf(13,plain,
$false,
inference(simp,[status(thm)],[12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN732+1 : TPTP v8.2.0. Released v2.5.0.
% 0.07/0.16 % Command : run_Leo-III %s %d
% 0.16/0.37 % Computer : n003.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Mon May 20 13:58:54 EDT 2024
% 0.16/0.37 % CPUTime :
% 0.95/0.86 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.20/0.95 % [INFO] Parsing done (85ms).
% 1.20/0.96 % [INFO] Running in sequential loop mode.
% 1.56/1.16 % [INFO] eprover registered as external prover.
% 1.56/1.16 % [INFO] cvc4 registered as external prover.
% 1.66/1.16 % [INFO] Scanning for conjecture ...
% 1.66/1.21 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 1.66/1.22 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 1.66/1.23 % [INFO] Problem is first-order (TPTP FOF).
% 1.66/1.23 % [INFO] Type checking passed.
% 1.66/1.23 % [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 ...
% 2.38/1.49 % [INFO] Killing All external provers ...
% 2.38/1.49 % Time passed: 959ms (effective reasoning time: 529ms)
% 2.38/1.49 % 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)>
% 2.38/1.49 % Axioms used in derivation (0):
% 2.38/1.49 % No. of inferences in proof: 10
% 2.38/1.50 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 959 ms resp. 529 ms w/o parsing
% 2.81/1.58 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.81/1.58 % [INFO] Killing All external provers ...
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