TSTP Solution File: NUM663^1 by Leo-III---1.7.10
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.10
% Problem : NUM663^1 : TPTP v8.1.2. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n026.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 08:00:25 EDT 2024
% Result : Theorem 2.48s 1.52s
% Output : Refutation 2.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 10
% Syntax : Number of formulae : 17 ( 7 unt; 5 typ; 0 def)
% Number of atoms : 17 ( 2 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 39 ( 6 ~; 0 |; 0 &; 26 @)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 2 ( 2 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 4 usr; 5 con; 0-2 aty)
% Number of variables : 7 ( 0 ^ 7 !; 0 ?; 7 :)
% 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(less_type,type,
less: nat > nat > $o ).
thf(6,axiom,
! [A: nat,B: nat,C: nat] :
( ( less @ A @ B )
=> ( ( less @ B @ C )
=> ( less @ A @ C ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz15) ).
thf(13,plain,
! [A: nat,B: nat,C: nat] :
( ( less @ A @ B )
=> ( ( less @ B @ C )
=> ( less @ A @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(5,axiom,
! [A: $o] :
( ~ ~ A
=> A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',et) ).
thf(12,plain,
$true,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(1,conjecture,
less @ x @ z,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz16a) ).
thf(2,negated_conjecture,
~ ( less @ x @ z ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(7,plain,
~ ( less @ x @ z ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(4,axiom,
less @ y @ z,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',k) ).
thf(11,plain,
less @ y @ z,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(3,axiom,
( ~ ( less @ x @ y )
=> ( x = y ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l) ).
thf(8,plain,
( ~ ( less @ x @ y )
=> ( x = y ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(23,plain,
$false,
inference(cvc4,[status(thm)],[13,12,7,11,8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : NUM663^1 : TPTP v8.1.2. Released v3.7.0.
% 0.15/0.16 % Command : run_Leo-III %s %d
% 0.17/0.36 % Computer : n026.cluster.edu
% 0.17/0.36 % Model : x86_64 x86_64
% 0.17/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.36 % Memory : 8042.1875MB
% 0.17/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.36 % CPULimit : 300
% 0.17/0.36 % WCLimit : 300
% 0.17/0.36 % DateTime : Mon May 6 12:16:39 EDT 2024
% 0.17/0.36 % CPUTime :
% 0.93/0.85 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.22/0.96 % [INFO] Parsing done (104ms).
% 1.22/0.96 % [INFO] Running in sequential loop mode.
% 1.60/1.16 % [INFO] eprover registered as external prover.
% 1.60/1.16 % [INFO] cvc4 registered as external prover.
% 1.60/1.17 % [INFO] Scanning for conjecture ...
% 1.72/1.21 % [INFO] Found a conjecture and 4 axioms. Running axiom selection ...
% 1.72/1.22 % [INFO] Axiom selection finished. Selected 4 axioms (removed 0 axioms).
% 1.72/1.24 % [INFO] Problem is higher-order (TPTP THF).
% 1.72/1.24 % [INFO] Type checking passed.
% 1.87/1.24 % [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 ...
% 2.48/1.52 % External prover 'cvc4' found a proof!
% 2.48/1.52 % [INFO] Killing All external provers ...
% 2.48/1.52 % Time passed: 1002ms (effective reasoning time: 551ms)
% 2.48/1.52 % 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)>
% 2.48/1.52 % Axioms used in derivation (4): satz15, et, k, l
% 2.48/1.52 % No. of inferences in proof: 12
% 2.48/1.52 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1002 ms resp. 551 ms w/o parsing
% 2.48/1.54 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.48/1.54 % [INFO] Killing All external provers ...
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