TSTP Solution File: SEU936^5 by Leo-III-SAT---1.7.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.12
% Problem : SEU936^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n014.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 21 03:44:17 EDT 2024
% Result : Theorem 2.76s 1.67s
% Output : Refutation 2.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of formulae : 21 ( 6 unt; 7 typ; 0 def)
% Number of atoms : 31 ( 30 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 73 ( 10 ~; 5 |; 0 &; 46 @)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Number of types : 3 ( 3 usr)
% Number of type conns : 10 ( 10 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 31 ( 0 ^ 30 !; 1 ?; 31 :)
% Comments :
%------------------------------------------------------------------------------
thf(a_type,type,
a: $tType ).
thf(b_type,type,
b: $tType ).
thf(c_type,type,
c: $tType ).
thf(sk1_type,type,
sk1: a > b ).
thf(sk2_type,type,
sk2: b > c ).
thf(sk3_type,type,
sk3: a ).
thf(sk4_type,type,
sk4: a ).
thf(1,conjecture,
! [A: a > b,B: b > c] :
( ! [C: a,D: a] :
( ( ( B @ ( A @ C ) )
= ( B @ ( A @ D ) ) )
=> ( C = D ) )
=> ! [C: a,D: a] :
( ( ( A @ C )
= ( A @ D ) )
=> ( C = D ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cFN_THM_3_pme) ).
thf(2,negated_conjecture,
~ ! [A: a > b,B: b > c] :
( ! [C: a,D: a] :
( ( ( B @ ( A @ C ) )
= ( B @ ( A @ D ) ) )
=> ( C = D ) )
=> ! [C: a,D: a] :
( ( ( A @ C )
= ( A @ D ) )
=> ( C = D ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ! [A: a > b,B: b > c] :
( ! [C: a,D: a] :
( ( ( B @ ( A @ C ) )
= ( B @ ( A @ D ) ) )
=> ( C = D ) )
=> ! [C: a,D: a] :
( ( ( A @ C )
= ( A @ D ) )
=> ( C = D ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(4,plain,
~ ! [A: a > b] :
( ? [B: b > c] :
! [C: a,D: a] :
( ( ( B @ ( A @ C ) )
= ( B @ ( A @ D ) ) )
=> ( C = D ) )
=> ! [B: a,C: a] :
( ( ( A @ B )
= ( A @ C ) )
=> ( B = C ) ) ),
inference(miniscope,[status(thm)],[3]) ).
thf(6,plain,
( ( sk1 @ sk3 )
= ( sk1 @ sk4 ) ),
inference(cnf,[status(esa)],[4]) ).
thf(9,plain,
( ( sk1 @ sk4 )
= ( sk1 @ sk3 ) ),
inference(lifteq,[status(thm)],[6]) ).
thf(7,plain,
! [B: a,A: a] :
( ( ( sk2 @ ( sk1 @ A ) )
!= ( sk2 @ ( sk1 @ B ) ) )
| ( A = B ) ),
inference(cnf,[status(esa)],[4]) ).
thf(10,plain,
! [B: a,A: a] :
( ( ( sk2 @ ( sk1 @ A ) )
!= ( sk2 @ ( sk1 @ B ) ) )
| ( A = B ) ),
inference(lifteq,[status(thm)],[7]) ).
thf(15,plain,
! [B: a,A: a] :
( ( ( sk2 @ ( sk1 @ sk3 ) )
!= ( sk2 @ ( sk1 @ A ) ) )
| ( A = B )
| ( ( sk1 @ sk4 )
!= ( sk1 @ B ) ) ),
inference(paramod_ordered,[status(thm)],[9,10]) ).
thf(16,plain,
! [A: a] :
( ( ( sk2 @ ( sk1 @ sk3 ) )
!= ( sk2 @ ( sk1 @ A ) ) )
| ( A = sk4 ) ),
inference(pattern_uni,[status(thm)],[15:[bind(A,$thf( A )),bind(B,$thf( sk4 ))]]) ).
thf(19,plain,
sk4 = sk3,
inference(pattern_uni,[status(thm)],[16:[bind(A,$thf( sk3 ))]]) ).
thf(5,plain,
sk3 != sk4,
inference(cnf,[status(esa)],[4]) ).
thf(8,plain,
sk4 != sk3,
inference(lifteq,[status(thm)],[5]) ).
thf(39,plain,
$false,
inference(simplifyReflect,[status(thm)],[19,8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU936^5 : TPTP v8.2.0. Released v4.0.0.
% 0.11/0.16 % Command : run_Leo-III %s %d
% 0.16/0.37 % Computer : n014.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Sun May 19 16:06:54 EDT 2024
% 0.16/0.37 % CPUTime :
% 0.95/0.88 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.19/0.98 % [INFO] Parsing done (103ms).
% 1.19/0.99 % [INFO] Running in sequential loop mode.
% 1.69/1.22 % [INFO] nitpick registered as external prover.
% 1.69/1.22 % [INFO] Scanning for conjecture ...
% 1.83/1.27 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 1.83/1.29 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 1.83/1.29 % [INFO] Problem is higher-order (TPTP THF).
% 1.83/1.30 % [INFO] Type checking passed.
% 1.83/1.30 % [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 ...
% 2.53/1.63 % [INFO] Killing All external provers ...
% 2.76/1.67 % Time passed: 1131ms (effective reasoning time: 677ms)
% 2.76/1.67 % 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)>
% 2.76/1.67 % Axioms used in derivation (0):
% 2.76/1.67 % No. of inferences in proof: 14
% 2.76/1.67 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1131 ms resp. 677 ms w/o parsing
% 2.90/1.70 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.90/1.70 % [INFO] Killing All external provers ...
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