TSTP Solution File: NUM667_8 by Leo-III---1.7.7
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : NUM667_8 : TPTP v8.1.2. Released v8.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n025.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 : Fri May 19 11:41:44 EDT 2023
% Result : Theorem 2.72s 1.68s
% Output : Refutation 2.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 11
% Syntax : Number of formulae : 19 ( 2 unt; 5 typ; 0 def)
% Number of atoms : 32 ( 11 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 73 ( 15 ~; 0 |; 0 &; 38 @)
% ( 0 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 6 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 : 13 ( 0 ^; 13 !; 0 ?; 13 :)
% 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(7,axiom,
! [A: nat,B: nat,C: nat] :
( ( less @ A @ B )
=> ( ( ~ ( less @ B @ C )
=> ( B = C ) )
=> ( less @ A @ C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz16b) ).
thf(25,plain,
! [A: nat,B: nat,C: nat] :
( ( less @ A @ B )
=> ( ( ~ ( less @ B @ C )
=> ( B = C ) )
=> ( less @ A @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(3,axiom,
( ~ ( less @ x @ y )
=> ( x = y ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l) ).
thf(12,plain,
( ~ ( less @ x @ y )
=> ( x = y ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(5,axiom,
! [A: $o] :
( ~ ~ A
=> A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',et) ).
thf(18,plain,
$true,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(1,conjecture,
( ~ ( less @ x @ z )
=> ( x = z ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz17) ).
thf(2,negated_conjecture,
~ ( ~ ( less @ x @ z )
=> ( x = z ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(8,plain,
~ ( ~ ( less @ x @ z )
=> ( x = z ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(6,axiom,
! [A: nat,B: nat,C: nat] :
( ( ~ ( less @ A @ B )
=> ( A = B ) )
=> ( ( less @ B @ C )
=> ( less @ A @ C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz16a) ).
thf(19,plain,
! [A: nat,B: nat,C: nat] :
( ( ~ ( less @ A @ B )
=> ( A = B ) )
=> ( ( less @ B @ C )
=> ( less @ A @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(4,axiom,
( ~ ( less @ y @ z )
=> ( y = z ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',k) ).
thf(15,plain,
( ~ ( less @ y @ z )
=> ( y = z ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(36,plain,
$false,
inference(cvc4,[status(thm)],[25,12,18,8,19,15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : NUM667_8 : TPTP v8.1.2. Released v8.0.0.
% 0.06/0.15 % Command : run_Leo-III %s %d
% 0.14/0.35 % Computer : n025.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu May 18 16:58:34 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.99/0.88 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.06/1.01 % [INFO] Parsing done (125ms).
% 1.32/1.02 % [INFO] Running in sequential loop mode.
% 1.70/1.23 % [INFO] eprover registered as external prover.
% 1.70/1.23 % [INFO] cvc4 registered as external prover.
% 1.70/1.24 % [INFO] Scanning for conjecture ...
% 1.70/1.28 % [INFO] Found a conjecture and 5 axioms. Running axiom selection ...
% 1.70/1.30 % [INFO] Axiom selection finished. Selected 5 axioms (removed 0 axioms).
% 2.00/1.32 % [INFO] Problem is typed first-order (TPTP TFF).
% 2.00/1.32 % [INFO] Type checking passed.
% 2.00/1.33 % [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 ...
% 2.72/1.67 % External prover 'cvc4' found a proof!
% 2.72/1.67 % [INFO] Killing All external provers ...
% 2.72/1.67 % Time passed: 1168ms (effective reasoning time: 650ms)
% 2.72/1.68 % 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)>
% 2.72/1.68 % Axioms used in derivation (5): satz16b, et, l, satz16a, k
% 2.72/1.68 % No. of inferences in proof: 14
% 2.72/1.68 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1168 ms resp. 650 ms w/o parsing
% 2.72/1.71 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.72/1.71 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------