TSTP Solution File: SYN362+1 by Leo-III---1.7.7
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : SYN362+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 : Fri May 19 12:28:31 EDT 2023
% Result : Theorem 2.57s 1.61s
% Output : Refutation 2.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 5
% Syntax : Number of formulae : 17 ( 6 unt; 4 typ; 0 def)
% Number of atoms : 30 ( 1 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 78 ( 19 ~; 3 |; 4 &; 44 @)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 4 ( 4 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 29 ( 0 ^; 18 !; 11 ?; 29 :)
% Comments :
%------------------------------------------------------------------------------
thf(big_r_type,type,
big_r: $i > $i > $o ).
thf(big_p_type,type,
big_p: $i > $o ).
thf(sk1_type,type,
sk1: $i > $i ).
thf(sk2_type,type,
sk2: $i ).
thf(1,conjecture,
( ( ! [A: $i] :
? [B: $i] : ( big_r @ A @ B )
& ? [A: $i] :
! [B: $i] :
( ( big_p @ B )
=> ~ ( big_r @ A @ B ) ) )
=> ? [A: $i] :
~ ( big_p @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',x2113) ).
thf(2,negated_conjecture,
~ ( ( ! [A: $i] :
? [B: $i] : ( big_r @ A @ B )
& ? [A: $i] :
! [B: $i] :
( ( big_p @ B )
=> ~ ( big_r @ A @ B ) ) )
=> ? [A: $i] :
~ ( big_p @ A ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ( ( ! [A: $i] :
? [B: $i] : ( big_r @ A @ B )
& ? [A: $i] :
! [B: $i] :
( ( big_p @ B )
=> ~ ( big_r @ A @ B ) ) )
=> ? [A: $i] :
~ ( big_p @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(4,plain,
~ ( ( ! [A: $i] :
? [B: $i] : ( big_r @ A @ B )
& ? [A: $i] :
! [B: $i] :
( ( big_p @ B )
=> ~ ( big_r @ A @ B ) ) )
=> ~ ! [A: $i] : ( big_p @ A ) ),
inference(miniscope,[status(thm)],[3]) ).
thf(7,plain,
! [A: $i] : ( big_r @ A @ ( sk1 @ A ) ),
inference(cnf,[status(esa)],[4]) ).
thf(6,plain,
! [A: $i] :
( ~ ( big_p @ A )
| ~ ( big_r @ sk2 @ A ) ),
inference(cnf,[status(esa)],[4]) ).
thf(9,plain,
! [A: $i] :
( ~ ( big_p @ A )
| ~ ( big_r @ sk2 @ A ) ),
inference(simp,[status(thm)],[6]) ).
thf(5,plain,
! [A: $i] : ( big_p @ A ),
inference(cnf,[status(esa)],[4]) ).
thf(8,plain,
! [A: $i] : ( big_p @ A ),
inference(simp,[status(thm)],[5]) ).
thf(10,plain,
! [A: $i] :
( ~ $true
| ~ ( big_r @ sk2 @ A ) ),
inference(rewrite,[status(thm)],[9,8]) ).
thf(11,plain,
! [A: $i] :
~ ( big_r @ sk2 @ A ),
inference(simp,[status(thm)],[10]) ).
thf(12,plain,
! [B: $i,A: $i] :
( ( big_r @ A @ ( sk1 @ A ) )
!= ( big_r @ sk2 @ B ) ),
inference(paramod_ordered,[status(thm)],[7,11]) ).
thf(13,plain,
$false,
inference(pattern_uni,[status(thm)],[12:[bind(A,$thf( sk2 )),bind(B,$thf( sk1 @ sk2 ))]]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SYN362+1 : TPTP v8.1.2. Released v2.0.0.
% 0.10/0.15 % Command : run_Leo-III %s %d
% 0.15/0.35 % Computer : n018.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Thu May 18 19:46:58 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.88/0.85 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.12/0.97 % [INFO] Parsing done (120ms).
% 1.12/0.98 % [INFO] Running in sequential loop mode.
% 1.47/1.19 % [INFO] eprover registered as external prover.
% 1.47/1.19 % [INFO] cvc4 registered as external prover.
% 1.47/1.20 % [INFO] Scanning for conjecture ...
% 1.81/1.25 % [INFO] Found a conjecture and 0 axioms. Running axiom selection ...
% 1.81/1.27 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 1.81/1.27 % [INFO] Problem is first-order (TPTP FOF).
% 1.81/1.27 % [INFO] Type checking passed.
% 1.81/1.27 % [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 ...
% 2.57/1.58 % [INFO] Killing All external provers ...
% 2.57/1.61 % Time passed: 1084ms (effective reasoning time: 593ms)
% 2.57/1.61 % 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)>
% 2.57/1.61 % Axioms used in derivation (0):
% 2.57/1.61 % No. of inferences in proof: 13
% 2.57/1.61 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1084 ms resp. 593 ms w/o parsing
% 2.88/1.66 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.88/1.66 % [INFO] Killing All external provers ...
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