TSTP Solution File: NUM662_8 by Leo-III-SAT---1.7.10
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%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.10
% Problem : NUM662_8 : TPTP v8.1.2. Released v8.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n029.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 10:45:05 EDT 2024
% Result : Theorem 5.28s 2.46s
% Output : Refutation 5.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 11
% Syntax : Number of formulae : 36 ( 27 unt; 7 typ; 0 def)
% Number of atoms : 31 ( 30 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 136 ( 30 ~; 2 |; 0 &; 104 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Number of types : 1 ( 1 usr)
% Number of type conns : 2 ( 2 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 6 usr; 6 con; 0-2 aty)
% Number of variables : 33 ( 0 ^ 30 !; 3 ?; 33 :)
% Comments :
%------------------------------------------------------------------------------
thf(nat_type,type,
nat: $tType ).
thf(x_type,type,
x: nat ).
thf(y_type,type,
y: nat ).
thf(z_type,type,
z: nat ).
thf(pl_type,type,
pl: nat > nat > nat ).
thf(sk1_type,type,
sk1: nat ).
thf(sk2_type,type,
sk2: nat ).
thf(3,axiom,
~ ! [A: nat] :
( y
!= ( pl @ x @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l) ).
thf(12,plain,
~ ! [A: nat] :
( y
!= ( pl @ x @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(13,plain,
~ ! [A: nat] :
( y
!= ( pl @ x @ A ) ),
inference(polarity_switch,[status(thm)],[12]) ).
thf(14,plain,
~ ~ ? [A: nat] :
( y
= ( pl @ x @ A ) ),
inference(miniscope,[status(thm)],[13]) ).
thf(15,plain,
( y
= ( pl @ x @ sk1 ) ),
inference(cnf,[status(esa)],[14]) ).
thf(16,plain,
( ( pl @ x @ sk1 )
= y ),
inference(lifteq,[status(thm)],[15]) ).
thf(6,axiom,
! [A: nat,B: nat,C: nat] :
( ( pl @ ( pl @ A @ B ) @ C )
= ( pl @ A @ ( pl @ B @ C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz5) ).
thf(23,plain,
! [A: nat,B: nat,C: nat] :
( ( pl @ ( pl @ A @ B ) @ C )
= ( pl @ A @ ( pl @ B @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(24,plain,
! [C: nat,B: nat,A: nat] :
( ( pl @ ( pl @ A @ B ) @ C )
= ( pl @ A @ ( pl @ B @ C ) ) ),
inference(cnf,[status(esa)],[23]) ).
thf(25,plain,
! [C: nat,B: nat,A: nat] :
( ( pl @ ( pl @ A @ B ) @ C )
= ( pl @ A @ ( pl @ B @ C ) ) ),
inference(lifteq,[status(thm)],[24]) ).
thf(44,plain,
! [C: nat,B: nat,A: nat] :
( ( ( pl @ y @ C )
= ( pl @ A @ ( pl @ B @ C ) ) )
| ( ( pl @ x @ sk1 )
!= ( pl @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[16,25]) ).
thf(45,plain,
! [A: nat] :
( ( pl @ y @ A )
= ( pl @ x @ ( pl @ sk1 @ A ) ) ),
inference(pattern_uni,[status(thm)],[44:[bind(A,$thf( x )),bind(B,$thf( sk1 ))]]) ).
thf(58,plain,
! [A: nat] :
( ( pl @ y @ A )
= ( pl @ x @ ( pl @ sk1 @ A ) ) ),
inference(simp,[status(thm)],[45]) ).
thf(4,axiom,
~ ! [A: nat] :
( z
!= ( pl @ y @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',k) ).
thf(17,plain,
~ ! [A: nat] :
( z
!= ( pl @ y @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(18,plain,
~ ! [A: nat] :
( z
!= ( pl @ y @ A ) ),
inference(polarity_switch,[status(thm)],[17]) ).
thf(19,plain,
~ ~ ? [A: nat] :
( z
= ( pl @ y @ A ) ),
inference(miniscope,[status(thm)],[18]) ).
thf(20,plain,
( z
= ( pl @ y @ sk2 ) ),
inference(cnf,[status(esa)],[19]) ).
thf(21,plain,
( ( pl @ y @ sk2 )
= z ),
inference(lifteq,[status(thm)],[20]) ).
thf(214,plain,
! [A: nat] :
( ( ( pl @ x @ ( pl @ sk1 @ A ) )
= z )
| ( ( pl @ y @ A )
!= ( pl @ y @ sk2 ) ) ),
inference(paramod_ordered,[status(thm)],[58,21]) ).
thf(215,plain,
( ( pl @ x @ ( pl @ sk1 @ sk2 ) )
= z ),
inference(pattern_uni,[status(thm)],[214:[bind(A,$thf( sk2 ))]]) ).
thf(1,conjecture,
~ ! [A: nat] :
( z
!= ( pl @ x @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz15) ).
thf(2,negated_conjecture,
~ ~ ! [A: nat] :
( z
!= ( pl @ x @ A ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(7,plain,
~ ~ ! [A: nat] :
( z
!= ( pl @ x @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(8,plain,
! [A: nat] :
( z
!= ( pl @ x @ A ) ),
inference(polarity_switch,[status(thm)],[7]) ).
thf(9,plain,
~ ? [A: nat] :
( z
= ( pl @ x @ A ) ),
inference(miniscope,[status(thm)],[8]) ).
thf(10,plain,
! [A: nat] :
( z
!= ( pl @ x @ A ) ),
inference(cnf,[status(esa)],[9]) ).
thf(11,plain,
! [A: nat] :
( ( pl @ x @ A )
!= z ),
inference(lifteq,[status(thm)],[10]) ).
thf(311,plain,
$false,
inference(simplifyReflect,[status(thm)],[215,11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : NUM662_8 : TPTP v8.1.2. Released v8.0.0.
% 0.12/0.13 % Command : run_Leo-III %s %d
% 0.14/0.34 % Computer : n029.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon May 6 19:27:26 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.80/0.78 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.00/0.92 % [INFO] Parsing done (140ms).
% 1.08/0.93 % [INFO] Running in sequential loop mode.
% 1.52/1.22 % [INFO] nitpick registered as external prover.
% 1.59/1.23 % [INFO] Scanning for conjecture ...
% 1.59/1.32 % [INFO] Found a conjecture and 4 axioms. Running axiom selection ...
% 1.78/1.35 % [INFO] Axiom selection finished. Selected 4 axioms (removed 0 axioms).
% 1.78/1.36 % [INFO] Problem is typed first-order (TPTP TFF).
% 1.78/1.37 % [INFO] Type checking passed.
% 1.78/1.37 % [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 ...
% 5.28/2.45 % [INFO] Killing All external provers ...
% 5.28/2.46 % Time passed: 2004ms (effective reasoning time: 1518ms)
% 5.28/2.46 % 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)>
% 5.28/2.46 % Axioms used in derivation (3): l, satz5, k
% 5.28/2.46 % No. of inferences in proof: 29
% 5.28/2.46 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 2004 ms resp. 1518 ms w/o parsing
% 5.28/2.50 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 5.28/2.50 % [INFO] Killing All external provers ...
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