TSTP Solution File: NUM691^1 by Leo-III---1.7.10
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.10
% Problem : NUM691^1 : TPTP v8.1.2. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n016.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 08:00:32 EDT 2024
% Result : Theorem 2.75s 1.64s
% Output : Refutation 2.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 13
% Syntax : Number of formulae : 21 ( 2 unt; 7 typ; 0 def)
% Number of atoms : 32 ( 11 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 113 ( 15 ~; 0 |; 0 &; 78 @)
% ( 0 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 7 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 4 ( 4 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 6 usr; 6 con; 0-2 aty)
% Number of variables : 17 ( 0 ^ 17 !; 0 ?; 17 :)
% 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(u_type,type,
u: nat ).
thf(more_type,type,
more: nat > nat > $o ).
thf(pl_type,type,
pl: nat > nat > nat ).
thf(7,axiom,
! [A: nat,B: nat,C: nat,D: nat] :
( ( more @ A @ B )
=> ( ( ~ ( more @ C @ D )
=> ( C = D ) )
=> ( more @ ( pl @ A @ C ) @ ( pl @ B @ D ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz22b) ).
thf(25,plain,
! [A: nat,B: nat,C: nat,D: nat] :
( ( more @ A @ B )
=> ( ( ~ ( more @ C @ D )
=> ( C = D ) )
=> ( more @ ( pl @ A @ C ) @ ( pl @ B @ D ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(3,axiom,
( ~ ( more @ x @ y )
=> ( x = y ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m) ).
thf(12,plain,
( ~ ( more @ x @ y )
=> ( x = y ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(5,axiom,
! [A: $o] :
( ~ ~ A
=> A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',et) ).
thf(18,plain,
$true,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(1,conjecture,
( ~ ( more @ ( pl @ x @ z ) @ ( pl @ y @ u ) )
=> ( ( pl @ x @ z )
= ( pl @ y @ u ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz23) ).
thf(2,negated_conjecture,
~ ( ~ ( more @ ( pl @ x @ z ) @ ( pl @ y @ u ) )
=> ( ( pl @ x @ z )
= ( pl @ y @ u ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(8,plain,
~ ( ~ ( more @ ( pl @ x @ z ) @ ( pl @ y @ u ) )
=> ( ( pl @ x @ z )
= ( pl @ y @ u ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(6,axiom,
! [A: nat,B: nat,C: nat,D: nat] :
( ( ~ ( more @ A @ B )
=> ( A = B ) )
=> ( ( more @ C @ D )
=> ( more @ ( pl @ A @ C ) @ ( pl @ B @ D ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz22a) ).
thf(19,plain,
! [A: nat,B: nat,C: nat,D: nat] :
( ( ~ ( more @ A @ B )
=> ( A = B ) )
=> ( ( more @ C @ D )
=> ( more @ ( pl @ A @ C ) @ ( pl @ B @ D ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(4,axiom,
( ~ ( more @ z @ u )
=> ( z = u ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',n) ).
thf(15,plain,
( ~ ( more @ z @ u )
=> ( z = u ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(32,plain,
$false,
inference(cvc4,[status(thm)],[25,12,18,8,19,15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM691^1 : TPTP v8.1.2. Released v3.7.0.
% 0.03/0.15 % Command : run_Leo-III %s %d
% 0.15/0.36 % Computer : n016.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Mon May 6 12:20:09 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.92/0.85 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.18/0.96 % [INFO] Parsing done (108ms).
% 1.18/0.97 % [INFO] Running in sequential loop mode.
% 1.58/1.16 % [INFO] eprover registered as external prover.
% 1.58/1.16 % [INFO] cvc4 registered as external prover.
% 1.58/1.17 % [INFO] Scanning for conjecture ...
% 1.68/1.21 % [INFO] Found a conjecture and 5 axioms. Running axiom selection ...
% 1.83/1.23 % [INFO] Axiom selection finished. Selected 5 axioms (removed 0 axioms).
% 1.83/1.25 % [INFO] Problem is higher-order (TPTP THF).
% 1.83/1.25 % [INFO] Type checking passed.
% 1.83/1.26 % [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 ...
% 2.75/1.64 % External prover 'cvc4' found a proof!
% 2.75/1.64 % [INFO] Killing All external provers ...
% 2.75/1.64 % Time passed: 1120ms (effective reasoning time: 673ms)
% 2.75/1.64 % 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)>
% 2.75/1.64 % Axioms used in derivation (5): n, satz22a, m, et, satz22b
% 2.75/1.64 % No. of inferences in proof: 14
% 2.75/1.64 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1120 ms resp. 673 ms w/o parsing
% 2.87/1.71 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.87/1.71 % [INFO] Killing All external provers ...
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