TSTP Solution File: SYN355+1 by Leo-III-SAT---1.7.10
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%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.10
% Problem : SYN355+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n018.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 11:01:40 EDT 2024
% Result : Theorem 2.60s 1.88s
% Output : Refutation 2.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of formulae : 18 ( 6 unt; 4 typ; 0 def)
% Number of atoms : 38 ( 2 equ; 0 cnn)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 66 ( 12 ~; 8 |; 3 &; 34 @)
% ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 3 ( 3 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 14 ( 0 ^ 14 !; 0 ?; 14 :)
% Comments :
%------------------------------------------------------------------------------
thf(big_r_type,type,
big_r: $i > $o ).
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(1,conjecture,
( ( ! [A: $i] :
( ( big_r @ A )
=> ( big_p @ A ) )
& ! [A: $i] :
( ~ ( big_q @ A )
=> ( big_r @ A ) ) )
=> ! [A: $i] :
( ( big_p @ A )
| ( big_q @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',x2106) ).
thf(2,negated_conjecture,
~ ( ( ! [A: $i] :
( ( big_r @ A )
=> ( big_p @ A ) )
& ! [A: $i] :
( ~ ( big_q @ A )
=> ( big_r @ A ) ) )
=> ! [A: $i] :
( ( big_p @ A )
| ( big_q @ A ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ( ( ! [A: $i] :
( ( big_r @ A )
=> ( big_p @ A ) )
& ! [A: $i] :
( ~ ( big_q @ A )
=> ( big_r @ A ) ) )
=> ! [A: $i] :
( ( big_p @ A )
| ( big_q @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(6,plain,
! [A: $i] :
( ( big_q @ A )
| ( big_r @ A ) ),
inference(cnf,[status(esa)],[3]) ).
thf(8,plain,
! [A: $i] :
( ( big_q @ A )
| ( big_r @ A ) ),
inference(simp,[status(thm)],[6]) ).
thf(4,plain,
~ ( big_q @ sk1 ),
inference(cnf,[status(esa)],[3]) ).
thf(11,plain,
! [A: $i] :
( ( big_r @ A )
| ( ( big_q @ A )
!= ( big_q @ sk1 ) ) ),
inference(paramod_ordered,[status(thm)],[8,4]) ).
thf(12,plain,
big_r @ sk1,
inference(pattern_uni,[status(thm)],[11:[bind(A,$thf( sk1 ))]]) ).
thf(7,plain,
! [A: $i] :
( ~ ( big_r @ A )
| ( big_p @ A ) ),
inference(cnf,[status(esa)],[3]) ).
thf(5,plain,
~ ( big_p @ sk1 ),
inference(cnf,[status(esa)],[3]) ).
thf(9,plain,
! [A: $i] :
( ~ ( big_r @ A )
| ( ( big_p @ A )
!= ( big_p @ sk1 ) ) ),
inference(paramod_ordered,[status(thm)],[7,5]) ).
thf(10,plain,
~ ( big_r @ sk1 ),
inference(pattern_uni,[status(thm)],[9:[bind(A,$thf( sk1 ))]]) ).
thf(13,plain,
$false,
inference(rewrite,[status(thm)],[12,10]) ).
thf(14,plain,
$false,
inference(simp,[status(thm)],[13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SYN355+1 : TPTP v8.1.2. Released v2.0.0.
% 0.11/0.13 % Command : run_Leo-III %s %d
% 0.12/0.33 % Computer : n018.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon May 6 21:14:39 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.94/0.89 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.16/1.03 % [INFO] Parsing done (144ms).
% 1.16/1.05 % [INFO] Running in sequential loop mode.
% 1.75/1.39 % [INFO] nitpick registered as external prover.
% 1.75/1.40 % [INFO] Scanning for conjecture ...
% 1.90/1.48 % [INFO] Found a conjecture and 0 axioms. Running axiom selection ...
% 1.96/1.52 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 1.96/1.52 % [INFO] Problem is first-order (TPTP FOF).
% 1.96/1.53 % [INFO] Type checking passed.
% 1.96/1.53 % [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 ...
% 2.60/1.87 % [INFO] Killing All external provers ...
% 2.60/1.88 % Time passed: 1414ms (effective reasoning time: 825ms)
% 2.60/1.88 % 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)>
% 2.60/1.88 % Axioms used in derivation (0):
% 2.60/1.88 % No. of inferences in proof: 14
% 2.60/1.88 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1414 ms resp. 825 ms w/o parsing
% 2.60/1.90 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.60/1.90 % [INFO] Killing All external provers ...
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