TSTP Solution File: NUM758^1 by Leo-III---1.7.10
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III---1.7.10
% Problem : NUM758^1 : TPTP v8.1.2. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n019.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 08:00:46 EDT 2024
% Result : Theorem 3.02s 1.81s
% Output : Refutation 3.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 12
% Syntax : Number of formulae : 19 ( 8 unt; 7 typ; 0 def)
% Number of atoms : 20 ( 0 equ; 0 cnn)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 72 ( 2 ~; 0 |; 0 &; 62 @)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 6 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 6 ( 6 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 18 ( 0 ^ 18 !; 0 ?; 18 :)
% 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(moref_type,type,
moref: frac > frac > $o ).
thf(pf_type,type,
pf: frac > frac > frac ).
thf(eq_type,type,
eq: frac > frac > $o ).
thf(4,axiom,
! [A: frac,B: frac,C: frac] :
( ( moref @ ( pf @ A @ C ) @ ( pf @ B @ C ) )
=> ( moref @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz63a) ).
thf(9,plain,
! [A: frac,B: frac,C: frac] :
( ( moref @ ( pf @ A @ C ) @ ( pf @ B @ C ) )
=> ( moref @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(5,axiom,
! [A: frac,B: frac,C: frac,D: frac] :
( ( moref @ A @ B )
=> ( ( eq @ A @ C )
=> ( ( eq @ B @ D )
=> ( moref @ C @ D ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz44) ).
thf(12,plain,
! [A: frac,B: frac,C: frac,D: frac] :
( ( moref @ A @ B )
=> ( ( eq @ A @ C )
=> ( ( eq @ B @ D )
=> ( moref @ C @ D ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(1,conjecture,
moref @ x @ y,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz63d) ).
thf(2,negated_conjecture,
~ ( moref @ x @ y ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(7,plain,
~ ( moref @ x @ y ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(3,axiom,
moref @ ( pf @ z @ x ) @ ( pf @ z @ y ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m) ).
thf(8,plain,
moref @ ( pf @ z @ x ) @ ( pf @ z @ y ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(6,axiom,
! [A: frac,B: frac] : ( eq @ ( pf @ A @ B ) @ ( pf @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz58) ).
thf(15,plain,
! [A: frac,B: frac] : ( eq @ ( pf @ A @ B ) @ ( pf @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(19,plain,
$false,
inference(e,[status(thm)],[9,12,7,8,15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM758^1 : TPTP v8.1.2. Released v3.7.0.
% 0.14/0.15 % Command : run_Leo-III %s %d
% 0.16/0.36 % Computer : n019.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Mon May 6 12:27:54 EDT 2024
% 0.16/0.36 % CPUTime :
% 1.16/1.04 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.48/1.17 % [INFO] Parsing done (127ms).
% 1.48/1.18 % [INFO] Running in sequential loop mode.
% 1.84/1.42 % [INFO] eprover registered as external prover.
% 1.84/1.42 % [INFO] cvc4 registered as external prover.
% 1.84/1.42 % [INFO] Scanning for conjecture ...
% 2.05/1.47 % [INFO] Found a conjecture and 4 axioms. Running axiom selection ...
% 2.05/1.49 % [INFO] Axiom selection finished. Selected 4 axioms (removed 0 axioms).
% 2.13/1.50 % [INFO] Problem is higher-order (TPTP THF).
% 2.13/1.50 % [INFO] Type checking passed.
% 2.13/1.51 % [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 ...
% 3.01/1.81 % External prover 'e' found a proof!
% 3.01/1.81 % [INFO] Killing All external provers ...
% 3.01/1.81 % Time passed: 1289ms (effective reasoning time: 623ms)
% 3.01/1.81 % 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)>
% 3.02/1.81 % Axioms used in derivation (4): satz63a, satz44, m, satz58
% 3.02/1.81 % No. of inferences in proof: 12
% 3.02/1.81 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1289 ms resp. 623 ms w/o parsing
% 3.02/1.83 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.02/1.83 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------