TSTP Solution File: NUM802^5 by Leo-III-SAT---1.7.10
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%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.10
% Problem : NUM802^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n027.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 10:45:47 EDT 2024
% Result : Theorem 2.80s 1.73s
% Output : Refutation 2.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 5
% Syntax : Number of formulae : 18 ( 8 unt; 4 typ; 0 def)
% Number of atoms : 26 ( 7 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 103 ( 22 ~; 5 |; 4 &; 60 @)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 10 ( 10 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 5 usr; 5 con; 0-2 aty)
% Number of variables : 25 ( 0 ^ 19 !; 6 ?; 25 :)
% Comments :
%------------------------------------------------------------------------------
thf(c_2_type,type,
c_2: $i ).
thf(absval_type,type,
absval: $i > $i ).
thf(c0_type,type,
c0: $i ).
thf(c_less__type,type,
c_less_: $i > $i > $o ).
thf(1,conjecture,
( ( c_less_ @ c_2 @ c0 )
=> ( ! [A: $i,B: $i] :
( ( c_less_ @ A @ c0 )
=> ( A
!= ( absval @ B ) ) )
=> ? [A: $i > $o] :
( ! [B: $i] :
~ ( A @ ( absval @ B ) )
& ( A @ c_2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cBLEDSOE_FENG_8) ).
thf(2,negated_conjecture,
~ ( ( c_less_ @ c_2 @ c0 )
=> ( ! [A: $i,B: $i] :
( ( c_less_ @ A @ c0 )
=> ( A
!= ( absval @ B ) ) )
=> ? [A: $i > $o] :
( ! [B: $i] :
~ ( A @ ( absval @ B ) )
& ( A @ c_2 ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ( ( c_less_ @ c_2 @ c0 )
=> ( ! [A: $i,B: $i] :
( ( c_less_ @ A @ c0 )
=> ( A
!= ( absval @ B ) ) )
=> ? [A: $i > $o] :
( ! [B: $i] :
~ ( A @ ( absval @ B ) )
& ( A @ c_2 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(4,plain,
~ ( ( c_less_ @ c_2 @ c0 )
=> ( ! [A: $i] :
( ( c_less_ @ A @ c0 )
=> ~ ? [B: $i] :
( A
= ( absval @ B ) ) )
=> ? [A: $i > $o] :
( ~ ? [B: $i] : ( A @ ( absval @ B ) )
& ( A @ c_2 ) ) ) ),
inference(miniscope,[status(thm)],[3]) ).
thf(5,plain,
! [A: $i > $o] :
( ( A @ ( absval @ ( sk1 @ A ) ) )
| ~ ( A @ c_2 ) ),
inference(cnf,[status(esa)],[4]) ).
thf(8,plain,
! [A: $i > $o] :
( ( A @ ( absval @ ( sk1 @ A ) ) )
| ~ ( A @ c_2 ) ),
inference(simp,[status(thm)],[5]) ).
thf(6,plain,
! [B: $i,A: $i] :
( ~ ( c_less_ @ A @ c0 )
| ( A
!= ( absval @ B ) ) ),
inference(cnf,[status(esa)],[4]) ).
thf(9,plain,
! [B: $i,A: $i] :
( ( A
!= ( absval @ B ) )
| ~ ( c_less_ @ A @ c0 ) ),
inference(lifteq,[status(thm)],[6]) ).
thf(10,plain,
! [A: $i] :
~ ( c_less_ @ ( absval @ A ) @ c0 ),
inference(simp,[status(thm)],[9]) ).
thf(16,plain,
! [B: $i,A: $i > $o] :
( ~ ( A @ c_2 )
| ( ( A @ ( absval @ ( sk1 @ A ) ) )
!= ( c_less_ @ ( absval @ B ) @ c0 ) ) ),
inference(paramod_ordered,[status(thm)],[8,10]) ).
thf(27,plain,
~ ( c_less_ @ c_2 @ c0 ),
inference(pre_uni,[status(thm)],[16:[bind(A,$thf( ^ [C: $i] : ( c_less_ @ C @ c0 ) )),bind(B,$thf( sk1 @ ^ [C: $i] : ( c_less_ @ C @ c0 ) ))]]) ).
thf(7,plain,
c_less_ @ c_2 @ c0,
inference(cnf,[status(esa)],[4]) ).
thf(38,plain,
~ $true,
inference(rewrite,[status(thm)],[27,7]) ).
thf(39,plain,
$false,
inference(simp,[status(thm)],[38]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : NUM802^5 : TPTP v8.1.2. Released v4.0.0.
% 0.06/0.15 % Command : run_Leo-III %s %d
% 0.15/0.36 % Computer : n027.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Mon May 6 19:27:39 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.99/0.91 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.23/1.04 % [INFO] Parsing done (125ms).
% 1.23/1.05 % [INFO] Running in sequential loop mode.
% 1.67/1.26 % [INFO] nitpick registered as external prover.
% 1.67/1.26 % [INFO] Scanning for conjecture ...
% 1.67/1.31 % [INFO] Found a conjecture and 0 axioms. Running axiom selection ...
% 1.91/1.33 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 1.91/1.33 % [INFO] Problem is higher-order (TPTP THF).
% 1.91/1.34 % [INFO] Type checking passed.
% 1.91/1.34 % [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 ...
% 2.80/1.73 % [INFO] Killing All external provers ...
% 2.80/1.73 % Time passed: 1201ms (effective reasoning time: 674ms)
% 2.80/1.73 % 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)>
% 2.80/1.73 % Axioms used in derivation (0):
% 2.80/1.73 % No. of inferences in proof: 14
% 2.80/1.73 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1201 ms resp. 674 ms w/o parsing
% 2.80/1.77 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.80/1.77 % [INFO] Killing All external provers ...
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