TSTP Solution File: NUM789_8 by Leo-III-SAT---1.7.10
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%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.10
% Problem : NUM789_8 : TPTP v8.1.2. Released v8.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n009.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 10:45:43 EDT 2024
% Result : Theorem 2.54s 1.56s
% Output : Refutation 2.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 9
% Syntax : Number of formulae : 28 ( 7 unt; 6 typ; 0 def)
% Number of atoms : 53 ( 2 equ; 0 cnn)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 164 ( 41 ~; 8 |; 0 &; 96 @)
% ( 0 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 6 ( 6 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 22 ( 0 ^ 22 !; 0 ?; 22 :)
% Comments :
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thf(rat_type,type,
rat: $tType ).
thf(x0_type,type,
x0: rat ).
thf(y0_type,type,
y0: rat ).
thf(less_type,type,
less: rat > rat > $o ).
thf(more_type,type,
more: rat > rat > $o ).
thf(is_type,type,
is: rat > rat > $o ).
thf(1,conjecture,
~ ( ~ ( more @ x0 @ y0 )
=> ( is @ x0 @ y0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz81h) ).
thf(2,negated_conjecture,
~ ~ ( ~ ( more @ x0 @ y0 )
=> ( is @ x0 @ y0 ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(6,plain,
~ ~ ( ~ ( more @ x0 @ y0 )
=> ( is @ x0 @ y0 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(7,plain,
( ~ ( more @ x0 @ y0 )
=> ( is @ x0 @ y0 ) ),
inference(polarity_switch,[status(thm)],[6]) ).
thf(8,plain,
( ( more @ x0 @ y0 )
| ( is @ x0 @ y0 ) ),
inference(cnf,[status(esa)],[7]) ).
thf(3,axiom,
less @ x0 @ y0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l) ).
thf(9,plain,
less @ x0 @ y0,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(5,axiom,
! [A: rat,B: rat] :
~ ( ( ( is @ A @ B )
=> ~ ( more @ A @ B ) )
=> ~ ~ ( ( ( more @ A @ B )
=> ~ ( less @ A @ B ) )
=> ~ ( ( less @ A @ B )
=> ~ ( is @ A @ B ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz81b) ).
thf(11,plain,
! [A: rat,B: rat] :
~ ( ( ( is @ A @ B )
=> ~ ( more @ A @ B ) )
=> ( ( ( more @ A @ B )
=> ~ ( less @ A @ B ) )
=> ~ ( ( less @ A @ B )
=> ~ ( is @ A @ B ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(12,plain,
~ ( ! [A: rat,B: rat] :
( ( is @ A @ B )
=> ~ ( more @ A @ B ) )
=> ( ! [A: rat,B: rat] :
( ( more @ A @ B )
=> ~ ( less @ A @ B ) )
=> ~ ! [A: rat,B: rat] :
( ( less @ A @ B )
=> ~ ( is @ A @ B ) ) ) ),
inference(miniscope,[status(thm)],[11]) ).
thf(13,plain,
! [B: rat,A: rat] :
( ~ ( less @ A @ B )
| ~ ( is @ A @ B ) ),
inference(cnf,[status(esa)],[12]) ).
thf(16,plain,
! [B: rat,A: rat] :
( ~ ( less @ A @ B )
| ~ ( is @ A @ B ) ),
inference(simp,[status(thm)],[13]) ).
thf(22,plain,
! [B: rat,A: rat] :
( ~ ( is @ A @ B )
| ( ( less @ x0 @ y0 )
!= ( less @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[9,16]) ).
thf(23,plain,
~ ( is @ x0 @ y0 ),
inference(pattern_uni,[status(thm)],[22:[bind(A,$thf( x0 )),bind(B,$thf( y0 ))]]) ).
thf(24,plain,
( ( more @ x0 @ y0 )
| $false ),
inference(rewrite,[status(thm)],[8,23]) ).
thf(25,plain,
more @ x0 @ y0,
inference(simp,[status(thm)],[24]) ).
thf(14,plain,
! [B: rat,A: rat] :
( ~ ( more @ A @ B )
| ~ ( less @ A @ B ) ),
inference(cnf,[status(esa)],[12]) ).
thf(17,plain,
! [B: rat,A: rat] :
( ~ ( more @ A @ B )
| ~ ( less @ A @ B ) ),
inference(simp,[status(thm)],[14]) ).
thf(28,plain,
! [B: rat,A: rat] :
( ~ ( less @ A @ B )
| ( ( more @ x0 @ y0 )
!= ( more @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[25,17]) ).
thf(29,plain,
~ ( less @ x0 @ y0 ),
inference(pattern_uni,[status(thm)],[28:[bind(A,$thf( x0 )),bind(B,$thf( y0 ))]]) ).
thf(32,plain,
~ $true,
inference(rewrite,[status(thm)],[29,9]) ).
thf(33,plain,
$false,
inference(simp,[status(thm)],[32]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM789_8 : TPTP v8.1.2. Released v8.0.0.
% 0.11/0.15 % Command : run_Leo-III %s %d
% 0.14/0.36 % Computer : n009.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 : Mon May 6 19:44:38 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.84/0.83 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.20/0.95 % [INFO] Parsing done (111ms).
% 1.20/0.95 % [INFO] Running in sequential loop mode.
% 1.46/1.16 % [INFO] nitpick registered as external prover.
% 1.46/1.16 % [INFO] Scanning for conjecture ...
% 1.67/1.21 % [INFO] Found a conjecture and 3 axioms. Running axiom selection ...
% 1.74/1.23 % [INFO] Axiom selection finished. Selected 3 axioms (removed 0 axioms).
% 1.82/1.25 % [INFO] Problem is typed first-order (TPTP TFF).
% 1.82/1.25 % [INFO] Type checking passed.
% 1.82/1.25 % [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 ...
% 2.54/1.55 % [INFO] Killing All external provers ...
% 2.54/1.55 % Time passed: 1045ms (effective reasoning time: 594ms)
% 2.54/1.55 % 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)>
% 2.54/1.55 % Axioms used in derivation (2): l, satz81b
% 2.54/1.55 % No. of inferences in proof: 22
% 2.54/1.56 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1045 ms resp. 594 ms w/o parsing
% 2.54/1.59 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.54/1.59 % [INFO] Killing All external provers ...
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