TSTP Solution File: SEU948^5 by Leo-III---1.7.15
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- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III---1.7.15
% Problem : SEU948^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d THM
% Computer : n023.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 : Mon Jun 24 15:29:30 EDT 2024
% Result : Theorem 56.94s 12.82s
% Output : Refutation 56.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 1
% Syntax : Number of formulae : 32 ( 7 unt; 0 typ; 0 def)
% Number of atoms : 57 ( 6 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 313 ( 36 ~; 36 |; 12 &; 208 @)
% ( 0 <=>; 21 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 8 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 66 ( 66 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 108 ( 67 ^ 41 !; 0 ?; 108 :)
% Comments :
%------------------------------------------------------------------------------
thf(a_type,type,
a: $tType ).
thf(sk1_type,type,
sk1: a > a ).
thf(sk2_type,type,
sk2: a > a ).
thf(sk3_type,type,
sk3: a > a ).
thf(sk4_type,type,
sk4: ( ( a > a ) > $o ) > a > a ).
thf(sk5_type,type,
sk5: ( ( a > a ) > $o ) > a > a ).
thf(sk6_type,type,
sk6: ( a > a ) > $o ).
thf(1,conjecture,
! [A: a > a,B: a > a,C: a > a] :
( ( ! [D: ( a > a ) > $o] :
( ( ( D
@ ^ [E: a] : E )
& ! [E: a > a] :
( ( D @ E )
=> ( D
@ ^ [F: a] : ( A @ ( E @ F ) ) ) ) )
=> ( D @ B ) )
& ! [D: ( a > a ) > $o] :
( ( ( D
@ ^ [E: a] : E )
& ! [E: a > a] :
( ( D @ E )
=> ( D
@ ^ [F: a] : ( A @ ( E @ F ) ) ) ) )
=> ( D @ C ) ) )
=> ! [D: ( a > a ) > $o] :
( ( ( D
@ ^ [E: a] : E )
& ! [E: a > a] :
( ( D @ E )
=> ( D
@ ^ [F: a] : ( A @ ( E @ F ) ) ) ) )
=> ( D
@ ^ [E: a] : ( B @ ( C @ E ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM135_pme) ).
thf(2,negated_conjecture,
~ ! [A: a > a,B: a > a,C: a > a] :
( ( ! [D: ( a > a ) > $o] :
( ( ( D
@ ^ [E: a] : E )
& ! [E: a > a] :
( ( D @ E )
=> ( D
@ ^ [F: a] : ( A @ ( E @ F ) ) ) ) )
=> ( D @ B ) )
& ! [D: ( a > a ) > $o] :
( ( ( D
@ ^ [E: a] : E )
& ! [E: a > a] :
( ( D @ E )
=> ( D
@ ^ [F: a] : ( A @ ( E @ F ) ) ) ) )
=> ( D @ C ) ) )
=> ! [D: ( a > a ) > $o] :
( ( ( D
@ ^ [E: a] : E )
& ! [E: a > a] :
( ( D @ E )
=> ( D
@ ^ [F: a] : ( A @ ( E @ F ) ) ) ) )
=> ( D
@ ^ [E: a] : ( B @ ( C @ E ) ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ! [A: a > a,B: a > a,C: a > a] :
( ( ! [D: ( a > a ) > $o] :
( ( ( D
@ ^ [E: a] : E )
& ! [E: a > a] :
( ( D @ E )
=> ( D
@ ^ [F: a] : ( A @ ( E @ F ) ) ) ) )
=> ( D @ B ) )
& ! [D: ( a > a ) > $o] :
( ( ( D
@ ^ [E: a] : E )
& ! [E: a > a] :
( ( D @ E )
=> ( D
@ ^ [F: a] : ( A @ ( E @ F ) ) ) ) )
=> ( D @ C ) ) )
=> ! [D: ( a > a ) > $o] :
( ( ( D
@ ^ [E: a] : E )
& ! [E: a > a] :
( ( D @ E )
=> ( D
@ ^ [F: a] : ( A @ ( E @ F ) ) ) ) )
=> ( D
@ ^ [E: a] : ( B @ ( C @ E ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(8,plain,
! [A: ( a > a ) > $o] :
( ~ ( A
@ ^ [B: a] : B )
| ( A @ ( sk4 @ A ) )
| ( A @ sk2 ) ),
inference(cnf,[status(esa)],[3]) ).
thf(9,plain,
! [A: a > a] :
( ~ ( sk6 @ A )
| ( sk6
@ ^ [B: a] : ( sk1 @ ( A @ B ) ) ) ),
inference(cnf,[status(esa)],[3]) ).
thf(19,plain,
! [A: a > a] :
( ~ ( sk6 @ A )
| ( sk6
@ ^ [B: a] : ( sk1 @ ( A @ B ) ) ) ),
inference(simp,[status(thm)],[9]) ).
thf(7,plain,
! [A: ( a > a ) > $o] :
( ~ ( A
@ ^ [B: a] : B )
| ~ ( A
@ ^ [B: a] : ( sk1 @ ( sk4 @ A @ B ) ) )
| ( A @ sk2 ) ),
inference(cnf,[status(esa)],[3]) ).
thf(4,plain,
~ ( sk6
@ ^ [A: a] : ( sk2 @ ( sk3 @ A ) ) ),
inference(cnf,[status(esa)],[3]) ).
thf(33,plain,
! [A: ( a > a ) > $o] :
( ~ ( A
@ ^ [B: a] : B )
| ~ ( A
@ ^ [B: a] : ( sk1 @ ( sk4 @ A @ B ) ) )
| ( ( A @ sk2 )
!= ( sk6
@ ^ [B: a] : ( sk2 @ ( sk3 @ B ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[7,4]) ).
thf(59,plain,
( ~ ( sk6 @ sk3 )
| ~ ( sk6
@ ^ [A: a] :
( sk1
@ ( sk4
@ ^ [B: a > a] :
( sk6
@ ^ [C: a] : ( B @ ( sk3 @ C ) ) )
@ ( sk3 @ A ) ) ) ) ),
inference(pre_uni,[status(thm)],[33:[bind(A,$thf( ^ [B: a > a] : ( sk6 @ ^ [C: a] : ( B @ ( sk3 @ C ) ) ) ))]]) ).
thf(6,plain,
( sk6
@ ^ [A: a] : A ),
inference(cnf,[status(esa)],[3]) ).
thf(5,plain,
! [A: ( a > a ) > $o] :
( ~ ( A
@ ^ [B: a] : B )
| ( A @ ( sk5 @ A ) )
| ( A @ sk3 ) ),
inference(cnf,[status(esa)],[3]) ).
thf(15,plain,
! [A: ( a > a ) > $o] :
( ~ ( A
@ ^ [B: a] : B )
| ( A @ ( sk5 @ A ) )
| ( A @ sk3 ) ),
inference(simp,[status(thm)],[5]) ).
thf(233,plain,
! [A: ( a > a ) > $o] :
( ( A @ ( sk5 @ A ) )
| ( A @ sk3 )
| ( ( sk6
@ ^ [B: a] : B )
!= ( A
@ ^ [B: a] : B ) ) ),
inference(paramod_ordered,[status(thm)],[6,15]) ).
thf(286,plain,
( ( sk6 @ ( sk5 @ sk6 ) )
| ( sk6 @ sk3 ) ),
inference(pre_uni,[status(thm)],[233:[bind(A,$thf( sk6 ))]]) ).
thf(791,plain,
! [A: a > a] :
( ( sk6 @ sk3 )
| ( sk6
@ ^ [B: a] : ( sk1 @ ( A @ B ) ) )
| ( ( sk6 @ ( sk5 @ sk6 ) )
!= ( sk6 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[286,19]) ).
thf(792,plain,
( ( sk6 @ sk3 )
| ( sk6
@ ^ [A: a] : ( sk1 @ ( sk5 @ sk6 @ A ) ) ) ),
inference(pattern_uni,[status(thm)],[791:[bind(A,$thf( sk5 @ sk6 ))]]) ).
thf(10,plain,
! [A: ( a > a ) > $o] :
( ~ ( A
@ ^ [B: a] : B )
| ~ ( A
@ ^ [B: a] : ( sk1 @ ( sk5 @ A @ B ) ) )
| ( A @ sk3 ) ),
inference(cnf,[status(esa)],[3]) ).
thf(16,plain,
! [A: ( a > a ) > $o] :
( ~ ( A
@ ^ [B: a] : B )
| ~ ( A
@ ^ [B: a] : ( sk1 @ ( sk5 @ A @ B ) ) )
| ( A @ sk3 ) ),
inference(simp,[status(thm)],[10]) ).
thf(1666,plain,
! [A: ( a > a ) > $o] :
( ( sk6 @ sk3 )
| ~ ( A
@ ^ [B: a] : B )
| ( A @ sk3 )
| ( ( sk6
@ ^ [B: a] : ( sk1 @ ( sk5 @ sk6 @ B ) ) )
!= ( A
@ ^ [B: a] : ( sk1 @ ( sk5 @ A @ B ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[792,16]) ).
thf(1720,plain,
( ( sk6 @ sk3 )
| ~ ( sk6
@ ^ [A: a] : A )
| ( sk6 @ sk3 ) ),
inference(pre_uni,[status(thm)],[1666:[bind(A,$thf( sk6 ))]]) ).
thf(1744,plain,
( ( sk6 @ sk3 )
| ~ ( sk6
@ ^ [A: a] : A ) ),
inference(simp,[status(thm)],[1720]) ).
thf(1745,plain,
( ( sk6 @ sk3 )
| ~ $true ),
inference(rewrite,[status(thm)],[1744,6]) ).
thf(1746,plain,
sk6 @ sk3,
inference(simp,[status(thm)],[1745]) ).
thf(1749,plain,
( ~ $true
| ~ ( sk6
@ ^ [A: a] :
( sk1
@ ( sk4
@ ^ [B: a > a] :
( sk6
@ ^ [C: a] : ( B @ ( sk3 @ C ) ) )
@ ( sk3 @ A ) ) ) ) ),
inference(rewrite,[status(thm)],[59,1746]) ).
thf(1750,plain,
~ ( sk6
@ ^ [A: a] :
( sk1
@ ( sk4
@ ^ [B: a > a] :
( sk6
@ ^ [C: a] : ( B @ ( sk3 @ C ) ) )
@ ( sk3 @ A ) ) ) ),
inference(simp,[status(thm)],[1749]) ).
thf(3113,plain,
! [A: a > a] :
( ~ ( sk6 @ A )
| ( ( sk6
@ ^ [B: a] : ( sk1 @ ( A @ B ) ) )
!= ( sk6
@ ^ [B: a] :
( sk1
@ ( sk4
@ ^ [C: a > a] :
( sk6
@ ^ [D: a] : ( C @ ( sk3 @ D ) ) )
@ ( sk3 @ B ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[19,1750]) ).
thf(3114,plain,
~ ( sk6
@ ^ [A: a] :
( sk4
@ ^ [B: a > a] :
( sk6
@ ^ [C: a] : ( B @ ( sk3 @ C ) ) )
@ ( sk3 @ A ) ) ),
inference(pattern_uni,[status(thm)],[3113:[bind(A,$thf( ^ [B: a] : ( sk4 @ ^ [C: a > a] : ( sk6 @ ^ [D: a] : ( C @ ( sk3 @ D ) ) ) @ ( sk3 @ B ) ) ))]]) ).
thf(3160,plain,
! [A: ( a > a ) > $o] :
( ~ ( A
@ ^ [B: a] : B )
| ( A @ sk2 )
| ( ( A @ ( sk4 @ A ) )
!= ( sk6
@ ^ [B: a] :
( sk4
@ ^ [C: a > a] :
( sk6
@ ^ [D: a] : ( C @ ( sk3 @ D ) ) )
@ ( sk3 @ B ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[8,3114]) ).
thf(3183,plain,
( ~ ( sk6 @ sk3 )
| ( sk6
@ ^ [A: a] : ( sk2 @ ( sk3 @ A ) ) ) ),
inference(pre_uni,[status(thm)],[3160:[bind(A,$thf( ^ [B: a > a] : ( sk6 @ ^ [C: a] : ( B @ ( sk3 @ C ) ) ) ))]]) ).
thf(4874,plain,
( ~ $true
| $false ),
inference(rewrite,[status(thm)],[3183,1746,4]) ).
thf(4875,plain,
$false,
inference(simp,[status(thm)],[4874]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SEU948^5 : TPTP v8.2.0. Released v4.0.0.
% 0.07/0.13 % Command : run_Leo-III %s %d THM
% 0.13/0.34 % Computer : n023.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri Jun 21 17:11:55 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.92/0.82 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.00/0.93 % [INFO] Parsing done (107ms).
% 1.00/0.94 % [INFO] Running in sequential loop mode.
% 1.59/1.16 % [INFO] eprover registered as external prover.
% 1.59/1.16 % [INFO] Scanning for conjecture ...
% 1.72/1.22 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 1.92/1.24 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 1.92/1.24 % [INFO] Problem is higher-order (TPTP THF).
% 1.92/1.24 % [INFO] Type checking passed.
% 1.92/1.25 % [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 ...
% 56.94/12.81 % [INFO] Killing All external provers ...
% 56.94/12.82 % Time passed: 12321ms (effective reasoning time: 11874ms)
% 56.94/12.82 % 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)>
% 56.94/12.82 % Axioms used in derivation (0):
% 56.94/12.82 % No. of inferences in proof: 32
% 56.94/12.82 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 12321 ms resp. 11874 ms w/o parsing
% 56.94/12.87 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 56.94/12.87 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------