TSTP Solution File: NUM742_8 by Leo-III---1.7.7
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : NUM742_8 : TPTP v8.1.2. Released v8.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n020.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 11:42:00 EDT 2023
% Result : Theorem 2.55s 1.57s
% Output : Refutation 2.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 14
% Syntax : Number of formulae : 24 ( 9 unt; 6 typ; 0 def)
% Number of atoms : 31 ( 0 equ; 0 cnn)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 79 ( 6 ~; 0 |; 0 &; 58 @)
% ( 0 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 4 ( 4 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 5 usr; 5 con; 0-2 aty)
% Number of variables : 21 ( 0 ^; 21 !; 0 ?; 21 :)
% Comments :
%------------------------------------------------------------------------------
thf(frac_type,type,
frac: $tType ).
thf(x_type,type,
x: frac ).
thf(y_type,type,
y: frac ).
thf(z_type,type,
z: frac ).
thf(lessf_type,type,
lessf: frac > frac > $o ).
thf(eq_type,type,
eq: frac > frac > $o ).
thf(1,conjecture,
lessf @ x @ z,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz51a) ).
thf(2,negated_conjecture,
~ ( lessf @ x @ z ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(10,plain,
~ ( lessf @ x @ z ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(5,axiom,
! [A: $o] :
( ~ ~ A
=> A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',et) ).
thf(14,plain,
$true,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(8,axiom,
! [A: frac,B: frac,C: frac] :
( ( lessf @ A @ B )
=> ( ( lessf @ B @ C )
=> ( lessf @ A @ C ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz50) ).
thf(20,plain,
! [A: frac,B: frac,C: frac] :
( ( lessf @ A @ B )
=> ( ( lessf @ B @ C )
=> ( lessf @ A @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(4,axiom,
lessf @ y @ z,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',k) ).
thf(13,plain,
lessf @ y @ z,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(7,axiom,
! [A: frac,B: frac] :
( ( eq @ A @ B )
=> ( eq @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz38) ).
thf(18,plain,
! [A: frac,B: frac] :
( ( eq @ A @ B )
=> ( eq @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(3,axiom,
( ~ ( lessf @ x @ y )
=> ( eq @ x @ y ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l) ).
thf(11,plain,
( ~ ( lessf @ x @ y )
=> ( eq @ x @ y ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(9,axiom,
! [A: frac] : ( eq @ A @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz37) ).
thf(23,plain,
! [A: frac] : ( eq @ A @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(6,axiom,
! [A: frac,B: frac,C: frac,D: frac] :
( ( lessf @ A @ B )
=> ( ( eq @ A @ C )
=> ( ( eq @ B @ D )
=> ( lessf @ C @ D ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz45) ).
thf(15,plain,
! [A: frac,B: frac,C: frac,D: frac] :
( ( lessf @ A @ B )
=> ( ( eq @ A @ C )
=> ( ( eq @ B @ D )
=> ( lessf @ C @ D ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(28,plain,
$false,
inference(cvc4,[status(thm)],[10,14,20,13,18,11,23,15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : NUM742_8 : TPTP v8.1.2. Released v8.0.0.
% 0.05/0.12 % Command : run_Leo-III %s %d
% 0.12/0.31 % Computer : n020.cluster.edu
% 0.12/0.31 % Model : x86_64 x86_64
% 0.12/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.31 % Memory : 8042.1875MB
% 0.12/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.31 % CPULimit : 300
% 0.12/0.31 % WCLimit : 300
% 0.12/0.31 % DateTime : Thu May 18 16:48:33 EDT 2023
% 0.12/0.31 % CPUTime :
% 0.83/0.79 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.96/0.91 % [INFO] Parsing done (117ms).
% 0.96/0.92 % [INFO] Running in sequential loop mode.
% 1.53/1.14 % [INFO] eprover registered as external prover.
% 1.53/1.14 % [INFO] cvc4 registered as external prover.
% 1.53/1.14 % [INFO] Scanning for conjecture ...
% 1.60/1.20 % [INFO] Found a conjecture and 7 axioms. Running axiom selection ...
% 1.60/1.22 % [INFO] Axiom selection finished. Selected 7 axioms (removed 0 axioms).
% 1.74/1.24 % [INFO] Problem is typed first-order (TPTP TFF).
% 1.74/1.24 % [INFO] Type checking passed.
% 1.74/1.24 % [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 ...
% 2.55/1.57 % External prover 'cvc4' found a proof!
% 2.55/1.57 % [INFO] Killing All external provers ...
% 2.55/1.57 % Time passed: 1086ms (effective reasoning time: 647ms)
% 2.55/1.57 % 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)>
% 2.55/1.57 % Axioms used in derivation (7): satz50, l, satz45, satz38, k, satz37, et
% 2.55/1.57 % No. of inferences in proof: 18
% 2.55/1.57 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1086 ms resp. 647 ms w/o parsing
% 2.55/1.60 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.55/1.60 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------