TSTP Solution File: SEV200^5 by Leo-III---1.7.15
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.15
% Problem : SEV200^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d THM
% Computer : n021.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 15:58:30 EDT 2024
% Result : Theorem 2.75s 1.67s
% Output : Refutation 3.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 1
% Syntax : Number of formulae : 4 ( 1 unt; 0 typ; 0 def)
% Number of atoms : 42 ( 33 equ; 0 cnn)
% Maximal formula atoms : 14 ( 10 avg)
% Number of connectives : 157 ( 5 ~; 6 |; 35 &; 93 @)
% ( 0 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 19 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 12 ( 12 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 3 usr; 4 con; 0-2 aty)
% Number of variables : 60 ( 0 ^ 42 !; 18 ?; 60 :)
% Comments :
%------------------------------------------------------------------------------
thf(a_type,type,
a: $tType ).
thf(cZ_type,type,
cZ: a ).
thf(cP_type,type,
cP: a > a > a ).
thf(1,conjecture,
( ( ! [A: a,B: a] :
( ( cP @ A @ B )
!= cZ )
& ! [A: a,B: a,C: a,D: a] :
( ( ( cP @ A @ C )
= ( cP @ B @ D ) )
=> ( ( A = B )
& ( C = D ) ) )
& ! [A: a > $o] :
( ( ( A @ cZ )
& ! [B: a,C: a] :
( ( ( A @ B )
& ( A @ C ) )
=> ( A @ ( cP @ B @ C ) ) ) )
=> ! [B: a] : ( A @ B ) ) )
=> ! [A: a > a > a > $o] :
( ( $true
& ! [B: a,C: a,D: a] :
( ( ( ( B = cZ )
& ( C = D ) )
| ( ( C = cZ )
& ( 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 @ cZ @ x @ x ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cS_LEM1C_pme) ).
thf(2,negated_conjecture,
~ ( ( ! [A: a,B: a] :
( ( cP @ A @ B )
!= cZ )
& ! [A: a,B: a,C: a,D: a] :
( ( ( cP @ A @ C )
= ( cP @ B @ D ) )
=> ( ( A = B )
& ( C = D ) ) )
& ! [A: a > $o] :
( ( ( A @ cZ )
& ! [B: a,C: a] :
( ( ( A @ B )
& ( A @ C ) )
=> ( A @ ( cP @ B @ C ) ) ) )
=> ! [B: a] : ( A @ B ) ) )
=> ! [A: a > a > a > $o] :
( ( $true
& ! [B: a,C: a,D: a] :
( ( ( ( B = cZ )
& ( C = D ) )
| ( ( C = cZ )
& ( 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 @ cZ @ x @ x ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ( ( ! [A: a,B: a] :
( ( cP @ A @ B )
!= cZ )
& ! [A: a,B: a,C: a,D: a] :
( ( ( cP @ A @ C )
= ( cP @ B @ D ) )
=> ( ( A = B )
& ( C = D ) ) )
& ! [A: a > $o] :
( ( ( A @ cZ )
& ! [B: a,C: a] :
( ( ( A @ B )
& ( A @ C ) )
=> ( A @ ( cP @ B @ C ) ) ) )
=> ! [B: a] : ( A @ B ) ) )
=> ! [A: a > a > a > $o] :
( ! [B: a,C: a,D: a] :
( ( ( ( B = cZ )
& ( C = D ) )
| ( ( C = cZ )
& ( 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 @ cZ @ x @ x ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(40,plain,
$false,
inference(e,[status(thm)],[3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEV200^5 : TPTP v8.2.0. Released v4.0.0.
% 0.11/0.12 % Command : run_Leo-III %s %d THM
% 0.11/0.33 % Computer : n021.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Fri Jun 21 18:39:25 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.97/0.86 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.16/0.97 % [INFO] Parsing done (109ms).
% 1.16/0.98 % [INFO] Running in sequential loop mode.
% 1.66/1.19 % [INFO] eprover registered as external prover.
% 1.66/1.19 % [INFO] Scanning for conjecture ...
% 1.80/1.26 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 1.80/1.29 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 1.80/1.29 % [INFO] Problem is higher-order (TPTP THF).
% 1.80/1.30 % [INFO] Type checking passed.
% 1.80/1.30 % [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 ...
% 2.75/1.67 % External prover 'e' found a proof!
% 2.75/1.67 % [INFO] Killing All external provers ...
% 2.75/1.67 % Time passed: 1145ms (effective reasoning time: 684ms)
% 2.75/1.67 % 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)>
% 2.75/1.67 % Axioms used in derivation (0):
% 2.75/1.67 % No. of inferences in proof: 4
% 2.75/1.67 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1145 ms resp. 684 ms w/o parsing
% 3.05/1.69 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.05/1.69 % [INFO] Killing All external provers ...
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