TSTP Solution File: NUM640^1 by Leo-III---1.7.10
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.10
% Problem : NUM640^1 : TPTP v8.1.2. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n010.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 7 08:00:18 EDT 2024
% Result : Theorem 2.46s 1.55s
% Output : Refutation 2.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 7
% Syntax : Number of formulae : 11 ( 6 unt; 5 typ; 0 def)
% Number of atoms : 6 ( 5 equ; 0 cnn)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 32 ( 2 ~; 0 |; 0 &; 30 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Number of types : 1 ( 1 usr)
% Number of type conns : 3 ( 3 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 4 ( 0 ^ 4 !; 0 ?; 4 :)
% Comments :
%------------------------------------------------------------------------------
thf(nat_type,type,
nat: $tType ).
thf(x_type,type,
x: nat ).
thf(y_type,type,
y: nat ).
thf(suc_type,type,
suc: nat > nat ).
thf(pl_type,type,
pl: nat > nat > nat ).
thf(1,conjecture,
( ( suc @ ( pl @ x @ y ) )
= ( pl @ x @ ( suc @ y ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz4f) ).
thf(2,negated_conjecture,
( ( suc @ ( pl @ x @ y ) )
!= ( pl @ x @ ( suc @ y ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(4,plain,
( ( suc @ ( pl @ x @ y ) )
!= ( pl @ x @ ( suc @ y ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(3,axiom,
! [A: nat,B: nat] :
( ( pl @ A @ ( suc @ B ) )
= ( suc @ ( pl @ A @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz4b) ).
thf(6,plain,
! [A: nat,B: nat] :
( ( pl @ A @ ( suc @ B ) )
= ( suc @ ( pl @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(9,plain,
$false,
inference(cvc4,[status(thm)],[4,6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : NUM640^1 : TPTP v8.1.2. Released v3.7.0.
% 0.06/0.15 % Command : run_Leo-III %s %d
% 0.16/0.36 % Computer : n010.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Mon May 6 12:41:54 EDT 2024
% 0.16/0.36 % CPUTime :
% 0.96/0.90 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.21/1.02 % [INFO] Parsing done (118ms).
% 1.21/1.03 % [INFO] Running in sequential loop mode.
% 1.60/1.23 % [INFO] eprover registered as external prover.
% 1.74/1.23 % [INFO] cvc4 registered as external prover.
% 1.74/1.23 % [INFO] Scanning for conjecture ...
% 1.80/1.27 % [INFO] Found a conjecture and 1 axioms. Running axiom selection ...
% 1.80/1.29 % [INFO] Axiom selection finished. Selected 1 axioms (removed 0 axioms).
% 1.80/1.30 % [INFO] Problem is higher-order (TPTP THF).
% 1.80/1.30 % [INFO] Type checking passed.
% 1.80/1.31 % [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 ...
% 2.46/1.55 % External prover 'cvc4' found a proof!
% 2.46/1.55 % [INFO] Killing All external provers ...
% 2.46/1.55 % Time passed: 1021ms (effective reasoning time: 521ms)
% 2.46/1.55 % 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)>
% 2.46/1.55 % Axioms used in derivation (1): satz4b
% 2.46/1.55 % No. of inferences in proof: 6
% 2.46/1.55 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1021 ms resp. 521 ms w/o parsing
% 2.60/1.58 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.60/1.58 % [INFO] Killing All external provers ...
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