TSTP Solution File: SEU861^5 by Leo-III---1.7.12
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.12
% Problem : SEU861^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n008.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 03:40:19 EDT 2024
% Result : Theorem 3.25s 1.68s
% Output : Refutation 3.25s
% 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 : 19 ( 6 equ; 0 cnn)
% Maximal formula atoms : 6 ( 4 avg)
% Number of connectives : 107 ( 8 ~; 6 |; 15 &; 48 @)
% ( 0 <=>; 30 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 12 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 32 ( 32 >; 0 *; 0 +; 0 <<)
% Number of symbols : 4 ( 2 usr; 1 con; 0-2 aty)
% Number of variables : 45 ( 0 ^ 39 !; 6 ?; 45 :)
% Comments :
%------------------------------------------------------------------------------
thf(a_type,type,
a: $tType ).
thf(cB_type,type,
cB: a > $o ).
thf(cC_type,type,
cC: a > $o ).
thf(1,conjecture,
( ( ! [A: ( a > $o ) > $o] :
( ( ! [B: a > $o] :
( ~ ? [C: a] : ( B @ C )
=> ( A @ B ) )
& ! [B: a > $o,C: a,D: a > $o] :
( ( ( A @ B )
& ! [E: a] :
( ( D @ E )
=> ( ( B @ E )
| ( E = C ) ) ) )
=> ( A @ D ) ) )
=> ( A @ cC ) )
& ! [A: a] :
( ( cB @ A )
=> ( cC @ A ) ) )
=> ! [A: ( a > $o ) > $o] :
( ( ! [B: a > $o] :
( ~ ? [C: a] : ( B @ C )
=> ( A @ B ) )
& ! [B: a > $o,C: a,D: a > $o] :
( ( ( A @ B )
& ! [E: a] :
( ( D @ E )
=> ( ( B @ E )
| ( E = C ) ) ) )
=> ( A @ D ) ) )
=> ( A @ cB ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM531E_pme) ).
thf(2,negated_conjecture,
~ ( ( ! [A: ( a > $o ) > $o] :
( ( ! [B: a > $o] :
( ~ ? [C: a] : ( B @ C )
=> ( A @ B ) )
& ! [B: a > $o,C: a,D: a > $o] :
( ( ( A @ B )
& ! [E: a] :
( ( D @ E )
=> ( ( B @ E )
| ( E = C ) ) ) )
=> ( A @ D ) ) )
=> ( A @ cC ) )
& ! [A: a] :
( ( cB @ A )
=> ( cC @ A ) ) )
=> ! [A: ( a > $o ) > $o] :
( ( ! [B: a > $o] :
( ~ ? [C: a] : ( B @ C )
=> ( A @ B ) )
& ! [B: a > $o,C: a,D: a > $o] :
( ( ( A @ B )
& ! [E: a] :
( ( D @ E )
=> ( ( B @ E )
| ( E = C ) ) ) )
=> ( A @ D ) ) )
=> ( A @ cB ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ( ( ! [A: ( a > $o ) > $o] :
( ( ! [B: a > $o] :
( ~ ? [C: a] : ( B @ C )
=> ( A @ B ) )
& ! [B: a > $o,C: a,D: a > $o] :
( ( ( A @ B )
& ! [E: a] :
( ( D @ E )
=> ( ( B @ E )
| ( E = C ) ) ) )
=> ( A @ D ) ) )
=> ( A @ cC ) )
& ! [A: a] :
( ( cB @ A )
=> ( cC @ A ) ) )
=> ! [A: ( a > $o ) > $o] :
( ( ! [B: a > $o] :
( ~ ? [C: a] : ( B @ C )
=> ( A @ B ) )
& ! [B: a > $o,C: a,D: a > $o] :
( ( ( A @ B )
& ! [E: a] :
( ( D @ E )
=> ( ( B @ E )
| ( E = C ) ) ) )
=> ( A @ D ) ) )
=> ( A @ cB ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(23,plain,
$false,
inference(e,[status(thm)],[3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SEU861^5 : TPTP v8.2.0. Released v4.0.0.
% 0.14/0.15 % Command : run_Leo-III %s %d
% 0.15/0.36 % Computer : n008.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Sun May 19 17:12:39 EDT 2024
% 0.22/0.37 % CPUTime :
% 0.99/0.87 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.28/0.97 % [INFO] Parsing done (102ms).
% 1.28/0.98 % [INFO] Running in sequential loop mode.
% 1.61/1.18 % [INFO] eprover registered as external prover.
% 1.61/1.18 % [INFO] cvc4 registered as external prover.
% 1.72/1.19 % [INFO] Scanning for conjecture ...
% 1.88/1.24 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 1.91/1.27 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 1.91/1.27 % [INFO] Problem is higher-order (TPTP THF).
% 1.91/1.27 % [INFO] Type checking passed.
% 1.91/1.27 % [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 ...
% 3.25/1.68 % External prover 'e' found a proof!
% 3.25/1.68 % [INFO] Killing All external provers ...
% 3.25/1.68 % Time passed: 1148ms (effective reasoning time: 695ms)
% 3.25/1.68 % 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)>
% 3.25/1.68 % Axioms used in derivation (0):
% 3.25/1.68 % No. of inferences in proof: 4
% 3.25/1.68 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1148 ms resp. 695 ms w/o parsing
% 3.25/1.71 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.25/1.71 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------