TSTP Solution File: NUM788_8 by Leo-III-SAT---1.7.10
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%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.10
% Problem : NUM788_8 : TPTP v8.1.2. Released v8.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n005.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 2.49s 1.61s
% Output : Refutation 2.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 9
% Syntax : Number of formulae : 27 ( 7 unt; 6 typ; 0 def)
% Number of atoms : 51 ( 2 equ; 0 cnn)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 157 ( 39 ~; 7 |; 0 &; 92 @)
% ( 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 : 20 ( 0 ^ 20 !; 0 ?; 20 :)
% Comments :
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thf(rat_type,type,
rat: $tType ).
thf(x0_type,type,
x0: rat ).
thf(y0_type,type,
y0: rat ).
thf(more_type,type,
more: rat > rat > $o ).
thf(less_type,type,
less: rat > rat > $o ).
thf(is_type,type,
is: rat > rat > $o ).
thf(1,conjecture,
~ ( ~ ( less @ x0 @ y0 )
=> ( is @ x0 @ y0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz81g) ).
thf(2,negated_conjecture,
~ ~ ( ~ ( less @ x0 @ y0 )
=> ( is @ x0 @ y0 ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(6,plain,
~ ~ ( ~ ( less @ x0 @ y0 )
=> ( is @ x0 @ y0 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(7,plain,
( ~ ( less @ x0 @ y0 )
=> ( is @ x0 @ y0 ) ),
inference(polarity_switch,[status(thm)],[6]) ).
thf(8,plain,
( ( less @ x0 @ y0 )
| ( is @ x0 @ y0 ) ),
inference(cnf,[status(esa)],[7]) ).
thf(3,axiom,
more @ x0 @ y0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m) ).
thf(9,plain,
more @ x0 @ y0,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(5,axiom,
! [A: rat,B: rat] :
~ ( ( ( is @ A @ B )
=> ~ ( more @ A @ B ) )
=> ~ ~ ( ( ( more @ A @ B )
=> ~ ( less @ A @ B ) )
=> ~ ( ( less @ A @ B )
=> ~ ( is @ A @ B ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz81b) ).
thf(11,plain,
! [A: rat,B: rat] :
~ ( ( ( is @ A @ B )
=> ~ ( more @ A @ B ) )
=> ( ( ( more @ A @ B )
=> ~ ( less @ A @ B ) )
=> ~ ( ( less @ A @ B )
=> ~ ( is @ A @ B ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(12,plain,
~ ( ! [A: rat,B: rat] :
( ( is @ A @ B )
=> ~ ( more @ A @ B ) )
=> ( ! [A: rat,B: rat] :
( ( more @ A @ B )
=> ~ ( less @ A @ B ) )
=> ~ ! [A: rat,B: rat] :
( ( less @ A @ B )
=> ~ ( is @ A @ B ) ) ) ),
inference(miniscope,[status(thm)],[11]) ).
thf(15,plain,
! [B: rat,A: rat] :
( ~ ( is @ A @ B )
| ~ ( more @ A @ B ) ),
inference(cnf,[status(esa)],[12]) ).
thf(20,plain,
! [B: rat,A: rat] :
( ~ ( is @ A @ B )
| ( ( more @ x0 @ y0 )
!= ( more @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[9,15]) ).
thf(21,plain,
~ ( is @ x0 @ y0 ),
inference(pattern_uni,[status(thm)],[20:[bind(A,$thf( x0 )),bind(B,$thf( y0 ))]]) ).
thf(22,plain,
( ( less @ x0 @ y0 )
| $false ),
inference(rewrite,[status(thm)],[8,21]) ).
thf(23,plain,
less @ x0 @ y0,
inference(simp,[status(thm)],[22]) ).
thf(14,plain,
! [B: rat,A: rat] :
( ~ ( more @ A @ B )
| ~ ( less @ A @ B ) ),
inference(cnf,[status(esa)],[12]) ).
thf(17,plain,
! [B: rat,A: rat] :
( ~ ( more @ A @ B )
| ~ ( less @ A @ B ) ),
inference(simp,[status(thm)],[14]) ).
thf(26,plain,
! [B: rat,A: rat] :
( ~ ( more @ A @ B )
| ( ( less @ x0 @ y0 )
!= ( less @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[23,17]) ).
thf(27,plain,
~ ( more @ x0 @ y0 ),
inference(pattern_uni,[status(thm)],[26:[bind(A,$thf( x0 )),bind(B,$thf( y0 ))]]) ).
thf(30,plain,
~ $true,
inference(rewrite,[status(thm)],[27,9]) ).
thf(31,plain,
$false,
inference(simp,[status(thm)],[30]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM788_8 : TPTP v8.1.2. Released v8.0.0.
% 0.14/0.15 % Command : run_Leo-III %s %d
% 0.16/0.36 % Computer : n005.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Mon May 6 19:58:24 EDT 2024
% 0.16/0.36 % CPUTime :
% 1.00/0.89 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.14/1.02 % [INFO] Parsing done (121ms).
% 1.14/1.03 % [INFO] Running in sequential loop mode.
% 1.75/1.23 % [INFO] nitpick registered as external prover.
% 1.75/1.24 % [INFO] Scanning for conjecture ...
% 1.78/1.28 % [INFO] Found a conjecture and 3 axioms. Running axiom selection ...
% 1.78/1.30 % [INFO] Axiom selection finished. Selected 3 axioms (removed 0 axioms).
% 1.98/1.32 % [INFO] Problem is typed first-order (TPTP TFF).
% 1.98/1.32 % [INFO] Type checking passed.
% 1.98/1.32 % [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 ...
% 2.49/1.61 % [INFO] Killing All external provers ...
% 2.49/1.61 % Time passed: 1092ms (effective reasoning time: 580ms)
% 2.49/1.61 % 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)>
% 2.49/1.61 % Axioms used in derivation (2): m, satz81b
% 2.49/1.61 % No. of inferences in proof: 21
% 2.49/1.61 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1092 ms resp. 580 ms w/o parsing
% 2.72/1.64 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.72/1.64 % [INFO] Killing All external provers ...
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