TSTP Solution File: SYN733+1 by Leo-III-SAT---1.7.10
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%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.10
% Problem : SYN733+1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n021.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 7 11:02:33 EDT 2024
% Result : Theorem 2.59s 1.61s
% Output : Refutation 2.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 4
% Syntax : Number of formulae : 18 ( 5 unt; 3 typ; 0 def)
% Number of atoms : 40 ( 1 equ; 0 cnn)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 70 ( 12 ~; 11 |; 8 &; 35 @)
% ( 0 <=>; 4 =>; 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 ( 3 usr; 3 con; 0-2 aty)
% Number of variables : 21 ( 0 ^ 13 !; 8 ?; 21 :)
% Comments :
%------------------------------------------------------------------------------
thf(p_type,type,
p: $i > $o ).
thf(q_type,type,
q: $i > $o ).
thf(sk1_type,type,
sk1: $i ).
thf(1,conjecture,
( ! [A: $i] :
? [B: $i] :
( ( p @ A )
& ( ( q @ B )
| ( q @ A ) ) )
=> ? [A: $i] :
( ( p @ A )
& ( q @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',y2141) ).
thf(2,negated_conjecture,
~ ( ! [A: $i] :
? [B: $i] :
( ( p @ A )
& ( ( q @ B )
| ( q @ A ) ) )
=> ? [A: $i] :
( ( p @ A )
& ( q @ A ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ( ! [A: $i] :
? [B: $i] :
( ( p @ A )
& ( ( q @ B )
| ( q @ A ) ) )
=> ? [A: $i] :
( ( p @ A )
& ( q @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(4,plain,
~ ( ( ! [A: $i] : ( p @ A )
& ( ? [A: $i] : ( q @ A )
| ! [A: $i] : ( q @ A ) ) )
=> ? [A: $i] :
( ( p @ A )
& ( q @ A ) ) ),
inference(miniscope,[status(thm)],[3]) ).
thf(6,plain,
! [A: $i] :
( ( q @ sk1 )
| ( q @ A ) ),
inference(cnf,[status(esa)],[4]) ).
thf(9,plain,
! [A: $i] :
( ( q @ sk1 )
| ( q @ A ) ),
inference(simp,[status(thm)],[6]) ).
thf(10,plain,
! [A: $i] :
( ( q @ sk1 )
| ( ( q @ A )
!= ( q @ sk1 ) )
| ~ $true ),
inference(eqfactor_ordered,[status(thm)],[9]) ).
thf(11,plain,
q @ sk1,
inference(pattern_uni,[status(thm)],[10:[bind(A,$thf( sk1 ))]]) ).
thf(5,plain,
! [A: $i] :
( ~ ( p @ A )
| ~ ( q @ A ) ),
inference(cnf,[status(esa)],[4]) ).
thf(8,plain,
! [A: $i] :
( ~ ( p @ A )
| ~ ( q @ A ) ),
inference(simp,[status(thm)],[5]) ).
thf(7,plain,
! [A: $i] : ( p @ A ),
inference(cnf,[status(esa)],[4]) ).
thf(12,plain,
! [A: $i] :
( ~ $true
| ~ ( q @ A ) ),
inference(rewrite,[status(thm)],[8,7]) ).
thf(13,plain,
! [A: $i] :
~ ( q @ A ),
inference(simp,[status(thm)],[12]) ).
thf(14,plain,
$false,
inference(rewrite,[status(thm)],[11,13]) ).
thf(15,plain,
$false,
inference(simp,[status(thm)],[14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SYN733+1 : TPTP v8.1.2. Released v2.5.0.
% 0.10/0.15 % Command : run_Leo-III %s %d
% 0.15/0.37 % Computer : n021.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 : Mon May 6 21:01:39 EDT 2024
% 0.15/0.37 % CPUTime :
% 0.99/0.90 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.09/1.02 % [INFO] Parsing done (118ms).
% 1.34/1.03 % [INFO] Running in sequential loop mode.
% 1.72/1.25 % [INFO] nitpick registered as external prover.
% 1.72/1.26 % [INFO] Scanning for conjecture ...
% 1.92/1.31 % [INFO] Found a conjecture and 0 axioms. Running axiom selection ...
% 1.92/1.33 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 1.92/1.33 % [INFO] Problem is first-order (TPTP FOF).
% 1.92/1.33 % [INFO] Type checking passed.
% 1.92/1.33 % [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 ...
% 2.40/1.60 % [INFO] Killing All external provers ...
% 2.59/1.61 % Time passed: 1067ms (effective reasoning time: 571ms)
% 2.59/1.61 % 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)>
% 2.59/1.61 % Axioms used in derivation (0):
% 2.59/1.61 % No. of inferences in proof: 15
% 2.59/1.61 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1067 ms resp. 571 ms w/o parsing
% 2.59/1.64 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.59/1.64 % [INFO] Killing All external provers ...
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