TSTP Solution File: NUM796^1 by Leo-III---1.7.10
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.10
% Problem : NUM796^1 : TPTP v8.1.2. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n022.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 08:00:54 EDT 2024
% Result : Theorem 2.54s 1.55s
% Output : Refutation 2.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 17
% Syntax : Number of formulae : 26 ( 8 unt; 10 typ; 0 def)
% Number of atoms : 26 ( 0 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 82 ( 2 ~; 0 |; 0 &; 70 @)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 10 ( 10 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 20 ( 0 ^ 20 !; 0 ?; 20 :)
% Comments :
%------------------------------------------------------------------------------
thf(rat_type,type,
rat: $tType ).
thf(x0_type,type,
x0: rat ).
thf(y0_type,type,
y0: rat ).
thf(z0_type,type,
z0: rat ).
thf(u0_type,type,
u0: rat ).
thf(less_type,type,
less: rat > rat > $o ).
thf(lessis_type,type,
lessis: rat > rat > $o ).
thf(pl_type,type,
pl: rat > rat > rat ).
thf(more_type,type,
more: rat > rat > $o ).
thf(moreis_type,type,
moreis: rat > rat > $o ).
thf(3,axiom,
less @ x0 @ y0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l) ).
thf(10,plain,
less @ x0 @ y0,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(6,axiom,
! [A: rat,B: rat,C: rat,D: rat] :
( ( more @ A @ B )
=> ( ( moreis @ C @ D )
=> ( more @ ( pl @ A @ C ) @ ( pl @ B @ D ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz99b) ).
thf(14,plain,
! [A: rat,B: rat,C: rat,D: rat] :
( ( more @ A @ B )
=> ( ( moreis @ C @ D )
=> ( more @ ( pl @ A @ C ) @ ( pl @ B @ D ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(1,conjecture,
less @ ( pl @ x0 @ z0 ) @ ( pl @ y0 @ u0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz99d) ).
thf(2,negated_conjecture,
~ ( less @ ( pl @ x0 @ z0 ) @ ( pl @ y0 @ u0 ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(9,plain,
~ ( less @ ( pl @ x0 @ z0 ) @ ( pl @ y0 @ u0 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(7,axiom,
! [A: rat,B: rat] :
( ( less @ A @ B )
=> ( more @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz83) ).
thf(17,plain,
! [A: rat,B: rat] :
( ( less @ A @ B )
=> ( more @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(5,axiom,
! [A: rat,B: rat] :
( ( more @ A @ B )
=> ( less @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz82) ).
thf(12,plain,
! [A: rat,B: rat] :
( ( more @ A @ B )
=> ( less @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(4,axiom,
lessis @ z0 @ u0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',k) ).
thf(11,plain,
lessis @ z0 @ u0,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(8,axiom,
! [A: rat,B: rat] :
( ( lessis @ A @ B )
=> ( moreis @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz85) ).
thf(19,plain,
! [A: rat,B: rat] :
( ( lessis @ A @ B )
=> ( moreis @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(21,plain,
$false,
inference(e,[status(thm)],[10,14,9,17,12,11,19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : NUM796^1 : TPTP v8.1.2. Released v3.7.0.
% 0.10/0.14 % Command : run_Leo-III %s %d
% 0.14/0.33 % Computer : n022.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 300
% 0.14/0.33 % DateTime : Mon May 6 12:21:09 EDT 2024
% 0.14/0.33 % CPUTime :
% 0.80/0.79 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.06/0.91 % [INFO] Parsing done (120ms).
% 1.06/0.93 % [INFO] Running in sequential loop mode.
% 1.35/1.16 % [INFO] eprover registered as external prover.
% 1.35/1.16 % [INFO] cvc4 registered as external prover.
% 1.35/1.17 % [INFO] Scanning for conjecture ...
% 1.65/1.22 % [INFO] Found a conjecture and 6 axioms. Running axiom selection ...
% 1.65/1.24 % [INFO] Axiom selection finished. Selected 6 axioms (removed 0 axioms).
% 1.77/1.25 % [INFO] Problem is higher-order (TPTP THF).
% 1.77/1.26 % [INFO] Type checking passed.
% 1.77/1.26 % [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 ...
% 2.34/1.55 % External prover 'e' found a proof!
% 2.34/1.55 % [INFO] Killing All external provers ...
% 2.34/1.55 % Time passed: 1072ms (effective reasoning time: 611ms)
% 2.34/1.55 % 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)>
% 2.34/1.55 % Axioms used in derivation (6): l, satz82, satz83, satz99b, k, satz85
% 2.34/1.55 % No. of inferences in proof: 16
% 2.54/1.55 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1072 ms resp. 611 ms w/o parsing
% 2.54/1.58 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.54/1.58 % [INFO] Killing All external provers ...
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