TSTP Solution File: SEV194^5 by Leo-III-SAT---1.7.15
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.15
% Problem : SEV194^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d SAT
% Computer : n001.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 15:59:43 EDT 2024
% Result : Theorem 2.48s 1.53s
% Output : Refutation 2.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 1
% Syntax : Number of formulae : 10 ( 4 unt; 0 typ; 0 def)
% Number of atoms : 40 ( 32 equ; 0 cnn)
% Maximal formula atoms : 8 ( 4 avg)
% Number of connectives : 139 ( 9 ~; 12 |; 26 &; 84 @)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 12 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 12 ( 12 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 4 usr; 4 con; 0-3 aty)
% Number of variables : 47 ( 0 ^ 23 !; 24 ?; 47 :)
% Comments :
%------------------------------------------------------------------------------
thf(a_type,type,
a: $tType ).
thf(x_type,type,
x: a ).
thf(c0_type,type,
c0: a ).
thf(cP_type,type,
cP: a > a > a ).
thf(sk1_type,type,
sk1: a > a > a > $o ).
thf(1,conjecture,
! [A: a > a > a > $o] :
( ( $true
& ! [B: a,C: a,D: a] :
( ( ( ( B = c0 )
& ( C = D ) )
| ( ( C = c0 )
& ( B = D ) )
| ? [E: a,F: a,G: a,H: a,I: a,J: a] :
( ( B
= ( cP @ E @ F ) )
& ( C
= ( cP @ G @ H ) )
& ( D
= ( cP @ I @ J ) )
& ( A @ E @ G @ I )
& ( A @ F @ H @ J ) ) )
=> ( A @ B @ C @ D ) ) )
=> ( A @ c0 @ x @ x ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cS_INCL_LEM2_pme) ).
thf(2,negated_conjecture,
~ ! [A: a > a > a > $o] :
( ( $true
& ! [B: a,C: a,D: a] :
( ( ( ( B = c0 )
& ( C = D ) )
| ( ( C = c0 )
& ( B = D ) )
| ? [E: a,F: a,G: a,H: a,I: a,J: a] :
( ( B
= ( cP @ E @ F ) )
& ( C
= ( cP @ G @ H ) )
& ( D
= ( cP @ I @ J ) )
& ( A @ E @ G @ I )
& ( A @ F @ H @ J ) ) )
=> ( A @ B @ C @ D ) ) )
=> ( A @ c0 @ x @ x ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ! [A: a > a > a > $o] :
( ! [B: a,C: a,D: a] :
( ( ( ( B = c0 )
& ( C = D ) )
| ( ( C = c0 )
& ( B = D ) )
| ? [E: a,F: a,G: a,H: a,I: a,J: a] :
( ( B
= ( cP @ E @ F ) )
& ( C
= ( cP @ G @ H ) )
& ( D
= ( cP @ I @ J ) )
& ( A @ E @ G @ I )
& ( A @ F @ H @ J ) ) )
=> ( A @ B @ C @ D ) )
=> ( A @ c0 @ x @ x ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(4,plain,
~ ! [A: a > a > a > $o] :
( ! [B: a,C: a,D: a] :
( ( ( ( B = c0 )
& ( C = D ) )
| ( ( C = c0 )
& ( B = D ) )
| ? [E: a,F: a] :
( ( B
= ( cP @ E @ F ) )
& ? [G: a,H: a] :
( ( C
= ( cP @ G @ H ) )
& ? [I: a,J: a] :
( ( D
= ( cP @ I @ J ) )
& ( A @ E @ G @ I )
& ( A @ F @ H @ J ) ) ) ) )
=> ( A @ B @ C @ D ) )
=> ( A @ c0 @ x @ x ) ),
inference(miniscope,[status(thm)],[3]) ).
thf(5,plain,
~ ( sk1 @ c0 @ x @ x ),
inference(cnf,[status(esa)],[4]) ).
thf(6,plain,
! [C: a,B: a,A: a] :
( ( A != c0 )
| ( B != C )
| ( sk1 @ A @ B @ C ) ),
inference(cnf,[status(esa)],[4]) ).
thf(9,plain,
! [C: a,B: a,A: a] :
( ( A != c0 )
| ( B != C )
| ( sk1 @ A @ B @ C ) ),
inference(lifteq,[status(thm)],[6]) ).
thf(10,plain,
! [A: a] : ( sk1 @ c0 @ A @ A ),
inference(simp,[status(thm)],[9]) ).
thf(15,plain,
~ $true,
inference(rewrite,[status(thm)],[5,10]) ).
thf(16,plain,
$false,
inference(simp,[status(thm)],[15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SEV194^5 : TPTP v8.2.0. Released v4.0.0.
% 0.07/0.13 % Command : run_Leo-III %s %d SAT
% 0.12/0.34 % Computer : n001.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Fri Jun 21 19:31:40 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.96/0.88 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.12/0.98 % [INFO] Parsing done (96ms).
% 1.12/0.99 % [INFO] Running in sequential loop mode.
% 1.61/1.18 % [INFO] nitpick registered as external prover.
% 1.61/1.19 % [INFO] Scanning for conjecture ...
% 1.61/1.25 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 1.95/1.28 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 1.95/1.28 % [INFO] Problem is higher-order (TPTP THF).
% 1.95/1.28 % [INFO] Type checking passed.
% 1.95/1.28 % [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 ...
% 2.48/1.53 % [INFO] Killing All external provers ...
% 2.48/1.53 % Time passed: 977ms (effective reasoning time: 535ms)
% 2.48/1.53 % 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)>
% 2.48/1.53 % Axioms used in derivation (0):
% 2.48/1.53 % No. of inferences in proof: 10
% 2.48/1.53 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 977 ms resp. 535 ms w/o parsing
% 2.69/1.60 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.69/1.60 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------