TSTP Solution File: NUM673^1 by Leo-III---1.7.10
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.10
% Problem : NUM673^1 : TPTP v8.1.2. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n009.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 08:00:28 EDT 2024
% Result : Theorem 2.48s 1.56s
% Output : Refutation 2.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 10
% Syntax : Number of formulae : 16 ( 8 unt; 6 typ; 0 def)
% Number of atoms : 12 ( 2 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 50 ( 2 ~; 0 |; 0 &; 46 @)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 4 ( 4 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 10 ( 0 ^ 10 !; 0 ?; 10 :)
% Comments :
%------------------------------------------------------------------------------
thf(nat_type,type,
nat: $tType ).
thf(x_type,type,
x: nat ).
thf(y_type,type,
y: nat ).
thf(z_type,type,
z: nat ).
thf(more_type,type,
more: nat > nat > $o ).
thf(pl_type,type,
pl: nat > nat > nat ).
thf(1,conjecture,
more @ ( pl @ z @ x ) @ ( pl @ z @ y ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz19d) ).
thf(2,negated_conjecture,
~ ( more @ ( pl @ z @ x ) @ ( pl @ z @ y ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(6,plain,
~ ( more @ ( pl @ z @ x ) @ ( pl @ z @ y ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(3,axiom,
more @ x @ y,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m) ).
thf(7,plain,
more @ x @ y,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(4,axiom,
! [A: nat,B: nat,C: nat] :
( ( more @ A @ B )
=> ( more @ ( pl @ A @ C ) @ ( pl @ B @ C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz19a) ).
thf(8,plain,
! [A: nat,B: nat,C: nat] :
( ( more @ A @ B )
=> ( more @ ( pl @ A @ C ) @ ( pl @ B @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(5,axiom,
! [A: nat,B: nat] :
( ( pl @ A @ B )
= ( pl @ B @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz6) ).
thf(11,plain,
! [A: nat,B: nat] :
( ( pl @ A @ B )
= ( pl @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(16,plain,
$false,
inference(cvc4,[status(thm)],[6,7,8,11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM673^1 : TPTP v8.1.2. Released v3.7.0.
% 0.07/0.15 % Command : run_Leo-III %s %d
% 0.15/0.36 % Computer : n009.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 : Mon May 6 12:38:24 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.94/0.88 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.29/1.00 % [INFO] Parsing done (117ms).
% 1.29/1.01 % [INFO] Running in sequential loop mode.
% 1.59/1.21 % [INFO] eprover registered as external prover.
% 1.59/1.21 % [INFO] cvc4 registered as external prover.
% 1.59/1.22 % [INFO] Scanning for conjecture ...
% 1.78/1.26 % [INFO] Found a conjecture and 3 axioms. Running axiom selection ...
% 1.87/1.28 % [INFO] Axiom selection finished. Selected 3 axioms (removed 0 axioms).
% 1.87/1.29 % [INFO] Problem is higher-order (TPTP THF).
% 1.87/1.29 % [INFO] Type checking passed.
% 1.87/1.30 % [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 ...
% 2.48/1.56 % External prover 'cvc4' found a proof!
% 2.48/1.56 % [INFO] Killing All external provers ...
% 2.48/1.56 % Time passed: 1032ms (effective reasoning time: 545ms)
% 2.48/1.56 % 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)>
% 2.48/1.56 % Axioms used in derivation (3): m, satz19a, satz6
% 2.48/1.56 % No. of inferences in proof: 10
% 2.48/1.56 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1032 ms resp. 545 ms w/o parsing
% 2.68/1.58 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.68/1.58 % [INFO] Killing All external provers ...
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