TSTP Solution File: SEU876^5 by Leo-III---1.7.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III---1.7.12
% Problem : SEU876^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n003.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 03:40:20 EDT 2024
% Result : Theorem 4.81s 2.24s
% Output : Refutation 4.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of formulae : 7 ( 1 unt; 3 typ; 0 def)
% Number of atoms : 43 ( 6 equ; 0 cnn)
% Maximal formula atoms : 14 ( 10 avg)
% Number of connectives : 161 ( 2 ~; 6 |; 27 &; 81 @)
% ( 0 <=>; 45 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 14 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 33 ( 33 >; 0 *; 0 +; 0 <<)
% Number of symbols : 4 ( 2 usr; 1 con; 0-2 aty)
% Number of variables : 57 ( 12 ^ 42 !; 3 ?; 57 :)
% Comments :
%------------------------------------------------------------------------------
thf(a_type,type,
a: $tType ).
thf(cE_type,type,
cE: a > $o ).
thf(cA_type,type,
cA: ( a > $o ) > $o ).
thf(1,conjecture,
( ! [A: ( a > $o ) > $o] :
( ( ( A
@ ^ [B: a] : $false )
& ! [B: a > $o] :
( ( A @ B )
=> ! [C: a] :
( ( cE @ C )
=> ( A
@ ^ [D: a] :
( ( B @ D )
| ( C = D ) ) ) ) ) )
=> ( A @ cE ) )
=> ( ! [A: a > $o] :
( ( ( cA @ A )
& ! [B: a] :
( ( cE @ B )
=> ( A @ B ) ) )
=> ( cA @ A ) )
& ! [A: a > $o] :
( ( ( cA @ A )
& ! [B: a] :
( ( cE @ B )
=> ( A @ B ) ) )
=> ? [B: a > $o] :
( ! [C: ( a > $o ) > $o] :
( ( ( C
@ ^ [D: a] : $false )
& ! [D: a > $o] :
( ( C @ D )
=> ! [E: a] :
( ( B @ E )
=> ( C
@ ^ [F: a] :
( ( D @ F )
| ( E = F ) ) ) ) ) )
=> ( C @ B ) )
& ! [C: a] :
( ( B @ C )
=> ( A @ C ) )
& ! [C: a > $o] :
( ( ( cA @ C )
& ! [D: a] :
( ( B @ D )
=> ( C @ D ) ) )
=> ( ( cA @ C )
& ! [D: a] :
( ( cE @ D )
=> ( C @ D ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cDOMLEMMA4_pme) ).
thf(2,negated_conjecture,
~ ( ! [A: ( a > $o ) > $o] :
( ( ( A
@ ^ [B: a] : $false )
& ! [B: a > $o] :
( ( A @ B )
=> ! [C: a] :
( ( cE @ C )
=> ( A
@ ^ [D: a] :
( ( B @ D )
| ( C = D ) ) ) ) ) )
=> ( A @ cE ) )
=> ( ! [A: a > $o] :
( ( ( cA @ A )
& ! [B: a] :
( ( cE @ B )
=> ( A @ B ) ) )
=> ( cA @ A ) )
& ! [A: a > $o] :
( ( ( cA @ A )
& ! [B: a] :
( ( cE @ B )
=> ( A @ B ) ) )
=> ? [B: a > $o] :
( ! [C: ( a > $o ) > $o] :
( ( ( C
@ ^ [D: a] : $false )
& ! [D: a > $o] :
( ( C @ D )
=> ! [E: a] :
( ( B @ E )
=> ( C
@ ^ [F: a] :
( ( D @ F )
| ( E = F ) ) ) ) ) )
=> ( C @ B ) )
& ! [C: a] :
( ( B @ C )
=> ( A @ C ) )
& ! [C: a > $o] :
( ( ( cA @ C )
& ! [D: a] :
( ( B @ D )
=> ( C @ D ) ) )
=> ( ( cA @ C )
& ! [D: a] :
( ( cE @ D )
=> ( C @ D ) ) ) ) ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ( ! [A: ( a > $o ) > $o] :
( ( ( A
@ ^ [B: a] : $false )
& ! [B: a > $o] :
( ( A @ B )
=> ! [C: a] :
( ( cE @ C )
=> ( A
@ ^ [D: a] :
( ( B @ D )
| ( C = D ) ) ) ) ) )
=> ( A @ cE ) )
=> ( ! [A: a > $o] :
( ( ( cA @ A )
& ! [B: a] :
( ( cE @ B )
=> ( A @ B ) ) )
=> ( cA @ A ) )
& ! [A: a > $o] :
( ( ( cA @ A )
& ! [B: a] :
( ( cE @ B )
=> ( A @ B ) ) )
=> ? [B: a > $o] :
( ! [C: ( a > $o ) > $o] :
( ( ( C
@ ^ [D: a] : $false )
& ! [D: a > $o] :
( ( C @ D )
=> ! [E: a] :
( ( B @ E )
=> ( C
@ ^ [F: a] :
( ( D @ F )
| ( E = F ) ) ) ) ) )
=> ( C @ B ) )
& ! [C: a] :
( ( B @ C )
=> ( A @ C ) )
& ! [C: a > $o] :
( ( ( cA @ C )
& ! [D: a] :
( ( B @ D )
=> ( C @ D ) ) )
=> ( ( cA @ C )
& ! [D: a] :
( ( cE @ D )
=> ( C @ D ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(152,plain,
$false,
inference(cvc4,[status(thm)],[3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SEU876^5 : TPTP v8.2.0. Released v4.0.0.
% 0.08/0.16 % Command : run_Leo-III %s %d
% 0.15/0.37 % Computer : n003.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Sun May 19 16:42:54 EDT 2024
% 0.15/0.37 % CPUTime :
% 0.95/0.89 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.26/1.03 % [INFO] Parsing done (143ms).
% 1.26/1.04 % [INFO] Running in sequential loop mode.
% 1.84/1.27 % [INFO] eprover registered as external prover.
% 1.84/1.27 % [INFO] cvc4 registered as external prover.
% 1.84/1.27 % [INFO] Scanning for conjecture ...
% 2.03/1.34 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 2.14/1.37 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 2.14/1.37 % [INFO] Problem is higher-order (TPTP THF).
% 2.14/1.37 % [INFO] Type checking passed.
% 2.14/1.38 % [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 ...
% 4.81/2.23 % External prover 'cvc4' found a proof!
% 4.81/2.23 % [INFO] Killing All external provers ...
% 4.81/2.23 % Time passed: 1696ms (effective reasoning time: 1188ms)
% 4.81/2.23 % 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)>
% 4.81/2.23 % Axioms used in derivation (0):
% 4.81/2.23 % No. of inferences in proof: 4
% 4.81/2.24 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1696 ms resp. 1188 ms w/o parsing
% 4.85/2.26 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 4.85/2.26 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------